Finite Group Databasebeta

← C2×#22574402 #31763017

Subgroups — C2×#22574402 #31763017

Order 17152.

8166 conjugacy classes of subgroups.

The subgroup lattice has 2164 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22574402C2132yesmaximal, direct product factor
2C2×#16864143C211yesmaximal, characteristic, complemented
3C2×#16864142C211yesmaximal, characteristic, complemented
4C2×#16864137C211yesmaximal, characteristic, complemented
5C2×#16864136C211yesmaximal, characteristic, complemented
6C2×#16864097C211yesmaximal, characteristic, complemented
7C2×#16864090C211yesmaximal, characteristic, complemented
8C2×#16864070C211yesmaximal, characteristic, complemented
9C2×#16864042C211yesmaximal, characteristic, complemented
10C2×#16864039C211yesmaximal, characteristic, complemented
11C2×#16864038C211yesmaximal, characteristic, complemented
12C2×#16864037C211yesmaximal, characteristic, complemented
13C2×#16864036C211yesmaximal, characteristic, complemented
14C2×#16864036C211yesmaximal, characteristic, complemented
15C2×D4×D268C211yesmaximal, characteristic, complemented
16C2×#16864028C211yesmaximal, characteristic, complemented
17C2×#16864001C211yesmaximal, characteristic, complemented
18C2×#16863997C211yesmaximal, characteristic, complemented
19C2×#16863995C211yesmaximal, characteristic, complemented
20C2×#16863988C211yesmaximal, characteristic, complemented
21C2×#16863987C211yesmaximal, characteristic, complemented
22C2×#16863985C211yesmaximal, characteristic, complemented
23C2×#16863982C211yesmaximal, characteristic, complemented
24C2×#16863980C211yesmaximal, characteristic, complemented
25C2×#16863976C211yesmaximal, characteristic, complemented
26C2×#16863958C211yesmaximal, characteristic, complemented
27C2×#16863957C211yesmaximal, characteristic, complemented
28C2×#16863956C211yesmaximal, characteristic, complemented
29C2×#16863908C211yesmaximal, characteristic, complemented
30C2×#123×D67C211yesmaximal, characteristic, complemented
31C22×#14524016C211yesmaximal, characteristic, complemented
32C2×#551×C67C211yesmaximal, characteristic, complemented
33C22×#11761629C2211yescharacteristic, complemented
34C22×#11761628C2211yescharacteristic, complemented
35C22×#11761628C2211yescharacteristic, complemented
36C23×D268C2211yescharacteristic, complemented
37C23×D268C2211yescharacteristic, complemented
38C23×C22⋊D67C2211yescharacteristic, complemented
39C23×C22⋊D67C2211yescharacteristic, complemented
40C23×C22⋊D67C2211yescharacteristic, complemented
41C22×D4×D67C2211yescharacteristic
42C22×D4×D67C2211yescharacteristic, complemented
43C22×D4×D67C2211yescharacteristic, complemented
44C23×C4×D67C2211yescharacteristic, complemented
45#16864143C22116yescomplemented
46#16864142C22116yescomplemented
47#16864137C22116yescomplemented
48#16864136C22116yescomplemented
49#16864097C22116yescomplemented
50#16864090C22116yescomplemented
51#16864070C22116yescomplemented
52#16864042C22116yescomplemented
53#16864039C22116yescomplemented
54#16864038C22116yescomplemented
55#16864037C22116yescomplemented
56#16864036C22116yescomplemented
57#16864036C22116yescomplemented
58D4×D268C22116yescomplemented
59#16864028C22116yescomplemented
60#16864001C22116yescomplemented
61#16863997C22116yescomplemented
62#16863995C22116yescomplemented
63#16863988C22116yescomplemented
64#16863987C22116yescomplemented
65#16863985C22116yescomplemented
66#16863982C22116yescomplemented
67#16863980C22116yescomplemented
68#16863976C22116yescomplemented
69#16863958C22116yescomplemented
70#16863957C22116yescomplemented
71#16863956C22116yescomplemented
72C2×#14524040C2211yescharacteristic, complemented
73C2×#14524039C2211yescharacteristic, complemented
74C2×#14524038C2211yescharacteristic, complemented
75C2×#14524038C2211yescharacteristic, complemented
76C2×#14524038C2211yescharacteristic, complemented
77C2×#14524037C2211yescharacteristic, complemented
78C2×#14524037C2211yescharacteristic, complemented
79C2×#14524036C2211yescharacteristic, complemented
80C2×#14524035C2211yescharacteristic, complemented
81C2×#14524034C2211yescharacteristic, complemented
82C2×#14524034C2211yescharacteristic, complemented
83C2×#14524033C2211yescharacteristic, complemented
84C2×#14524032C2211yescharacteristic, complemented
85C2×#14524031C2211yescharacteristic, complemented
86C2×#14524029C2211yescharacteristic, complemented
87C2×#14524029C2211yescharacteristic, complemented
88C2×#14524029C2211yescharacteristic, complemented
89#16863908C22116yescomplemented
90C2×#14524028C2211yescharacteristic, complemented
91C2×#14524028C2211yescharacteristic, complemented
92C2×#14524028C2211yescharacteristic, complemented
93C2×#14524028C2211yescharacteristic, complemented
94C2×#14524028C2211yescharacteristic, complemented
95C2×#14524028C2211yescharacteristic, complemented
96C2×#14524028C2211yescharacteristic, complemented
97C2×#14524028C2211yescharacteristic, complemented
98C2×#14524028C2211yescharacteristic, complemented
99C2×#14524027C2211yescharacteristic, complemented
100C2×#14524027C2211yescharacteristic, complemented
101C2×#14524027C2211yescharacteristic, complemented
102C2×#14524027C2211yescharacteristic, complemented
103C2×#14524027C2211yescharacteristic, complemented
104C2×#14524026C2211yescharacteristic, complemented
105C2×#14524026C2211yescharacteristic, complemented
106C2×#14524026C2211yescharacteristic, complemented
107C2×#14524025C2211yescharacteristic, complemented
108C2×#14524025C2211yescharacteristic, complemented
109C2×#14524025C2211yescharacteristic, complemented
110C2×#14524025C2211yescharacteristic, complemented
111C2×#14524025C2211yescharacteristic, complemented
112C2×#14524025C2211yescharacteristic, complemented
113C2×#14524025C2211yescharacteristic, complemented
114C2×#14524024C2211yescharacteristic, complemented
115#123×D67C22116yescomplemented
116C2×#14524023C2211yescharacteristic, complemented
117C2×#14524023C2211yescharacteristic, complemented
118C2×#14524022C2211yescharacteristic, complemented
119C2×#14524021C2211yescharacteristic, complemented
120C2×#14524021C2211yescharacteristic, complemented
121C2×#14524021C2211yescharacteristic, complemented
122C2×#14524020C2211yescharacteristic, complemented
123C2×#14524020C2211yescharacteristic, complemented
124C2×#14524019C2211yescharacteristic, complemented
125C2×#14524019C2211yescharacteristic, complemented
126C2×#14524018C2211yescharacteristic, complemented
127C2×#14524018C2211yescharacteristic, complemented
128C2×#14524018C2211yescharacteristic, complemented
129C2×#14524018C2211yescharacteristic, complemented
130C2×#14524018C2211yescharacteristic, complemented
131C2×#14524018C2211yescharacteristic, complemented
132C2×#14524018C2211yescharacteristic, complemented
133C2×#14524018C2211yescharacteristic, complemented
134C2×#14524017C2211yescharacteristic
135C2×#14524017C2211yescharacteristic, complemented
136C2×#14524017C2211yescharacteristic, complemented
137C2×#14524017C2211yescharacteristic, complemented
138C2×#14524017C2211yescharacteristic, complemented
139C2×#14524017C2211yescharacteristic, complemented
140C2×#14524017C2211yescharacteristic, complemented
141C2×#14524016C2211yescharacteristic
142C2×#14524016C2211yescharacteristic, complemented
143C2×#14524016C2211yescharacteristic, complemented
144C2×#14524016C2211yescharacteristic, complemented
145C2×#14524016C2211yescharacteristic, complemented
146C2×#14524016C2211yescharacteristic, complemented
147C2×#14524016C2211yescharacteristic, complemented
148C2×#14524016C2211yescharacteristic, complemented
149C2×#14524016C2211yescharacteristic, complemented
150C2×#14524016C2211yescharacteristic, complemented
151C2×#14524016C2211yescharacteristic, complemented
152C2×#14524016C2211yescharacteristic, complemented
153C2×#14524016C2211yescharacteristic, complemented
154C2×#14524016C2211yescharacteristic, complemented
155C2×#14524016C2211yescharacteristic, complemented
156C2×#14524016C2211yescharacteristic, complemented
157C2×#14524016C2211yescharacteristic, complemented
158C2×#14524016C22116yescomplemented
159C2×#14524015C2211yescharacteristic
160C2×#14524015C2211yescharacteristic, complemented
161C2×#14524014C2211yescharacteristic, complemented
162C2×#14524014C2211yescharacteristic, complemented
163C2×#14524013C2211yescharacteristic
164C2×#14524013C2211yescharacteristic, complemented
165C2×#14524013C2211yescharacteristic, complemented
166C2×#14524013C2211yescharacteristic, complemented
167C2×#14524013C2211yescharacteristic, complemented
168C2×#14524013C2211yescharacteristic, complemented
169C2×#14524013C2211yescharacteristic, complemented
170C2×#14524013C2211yescharacteristic, complemented
171C2×#14524013C2211yescharacteristic, complemented
172C2×#14524013C2211yescharacteristic, complemented
173C2×#14524013C2211yescharacteristic, complemented
174C2×#14524012C2211yescharacteristic, complemented
175C2×#14524011C2211yescharacteristic, complemented
176C2×#14524011C2211yescharacteristic, complemented
177C2×#14524011C2211yescharacteristic, complemented
178C2×C4×D268C2211yescharacteristic, complemented
179C2×C4×D268C2211yescharacteristic, complemented
180C2×C4×D268C2211yescharacteristic, complemented
181C2×C4×D268C2211yescharacteristic, complemented
182C2×C4×D268C2211yescharacteristic, complemented
183C2×C4×D268C2211yescharacteristic, complemented
184C2×#14524005C2211yescharacteristic, complemented
185C2×#14524005C2211yescharacteristic, complemented
186C2×C4×C22⋊D67C2211yescharacteristic, complemented
187C2×C4×C22⋊D67C2211yescharacteristic, complemented
188C2×(C22⋊D67)⋊C4C2211yescharacteristic, complemented
189C2×(C22⋊D67)⋊C4C2211yescharacteristic, complemented
190C2×(C22⋊D67)⋊C4C2211yescharacteristic, complemented
191C2×(C22⋊D67)⋊C4C2211yescharacteristic, complemented
192C2×#14524000C2211yescharacteristic, complemented
193C22×Dic67⋊C4C2211yescharacteristic, complemented
194C2×C4⋊C4×D67C2211yescharacteristic, complemented
195C2×C4⋊C4×D67C2211yescharacteristic, complemented
196C22×(C2×D67)⋊C4C2211yescharacteristic, complemented
197C2×C22⋊C4×D67C2211yescharacteristic, complemented
198C2×C22⋊C4×D67C2211yescharacteristic, complemented
199C2×C22⋊C4×D67C2211yescharacteristic, complemented
200C2×C22⋊C4×D67C2211yescharacteristic, complemented
201C2×C22⋊C4×D67C2211yescharacteristic, complemented
202C2×C22⋊C4×D67C2211yescharacteristic, complemented
203#551×C67C22116yescomplemented
204C2×#126×C67C2211yescharacteristic, complemented
205C2×#126×C67C2211yescharacteristic, complemented
206C2×#124×C67C2211yescharacteristic, complemented
207C2×#123×C67C2211yescharacteristic, complemented
208C2×#123×C67C2211yescharacteristic, complemented
209C2×#123×C67C2211yescharacteristic, complemented
210C2×C22⋊Q8×C67C2211yescharacteristic, complemented
211C2×C22⋊Q8×C67C2211yescharacteristic, complemented
212C2×#120×C67C2211yescharacteristic
213C2×C4×D4×C67C2211yescharacteristic, complemented
214C2×C4×D4×C67C2211yescharacteristic, complemented
215C2×#117×C67C2211yescharacteristic, complemented
216C2×#117×C67C2211yescharacteristic, complemented
217C22×C22⋊C4×C67C2211yescharacteristic, complemented
218C22×C22⋊C4×C67C2211yescharacteristic, complemented
219C24×D67C2311yescharacteristic
220C24×D67C2311yescharacteristic
221C24×D67C2311yescharacteristic
222C24×D67C2311yescharacteristic
223C24×D67C2311yescharacteristic
224C2×#11761629—44no—
225C2×#11761629C2318yescomplemented
226C2×#11761628—44no—
227C2×#11761628—44no—
228C2×#11761628C2318yescomplemented
229C2×#11761628C2318yescomplemented
230C22×Dic134C2311yescharacteristic
231C22×Dic134C2311yescharacteristic
232C22×D268—44no—
233C22×D268—44no—
234C22×D268C2311yescharacteristic
235C22×D268C2311yescharacteristic
236C22×D268C2311yescharacteristic
237C22×D268C2311yescharacteristic
238C22×D268C2311yescharacteristic
239C22×D268C2311yescharacteristic
240C22×D268C2311yescharacteristic
241C22×D268C2311yescharacteristic
242C22×D268C2311yescharacteristic
243C22×D268C2311yescharacteristic
244C22×D268C2311yescharacteristic
245C22×D268C2311yescharacteristic
246C22×D268C2311yescharacteristic
247C22×D268C2311yescharacteristic
248C22×D268C2311yescharacteristic
249C22×D268C2311yescharacteristic
250C22×D268C2318yescomplemented
251C22×D268C2318yescomplemented
252C22×C22⋊D67—44no—
253C22×C22⋊D67—44no—
254C22×C22⋊D67—44no—
255C22×C22⋊D67C2311yescharacteristic
256C22×C22⋊D67C2311yescharacteristic
257C22×C22⋊D67C2311yescharacteristic
258C22×C22⋊D67C2311yescharacteristic
259C22×C22⋊D67C2311yescharacteristic
260C22×C22⋊D67C2311yescharacteristic
261C22×C22⋊D67C2311yescharacteristic
262C22×C22⋊D67C2311yescharacteristic
263C22×C22⋊D67C2311yescharacteristic
264C22×C22⋊D67C2311yescharacteristic
265C22×C22⋊D67C2311yescharacteristic
266C22×C22⋊D67C2311yescharacteristic
267C22×C22⋊D67C2311yescharacteristic
268C22×C22⋊D67C2311yescharacteristic
269C22×C22⋊D67C2311yescharacteristic
270C22×C22⋊D67C2311yescharacteristic
271C22×C22⋊D67C2311yescharacteristic
272C22×C22⋊D67C2311yescharacteristic
273C22×C22⋊D67C2318yescomplemented
274C22×C22⋊D67C2318yescomplemented
275C22×C22⋊D67C2318yescomplemented
276C2×D4×D67—44no—
277C2×D4×D67—44no—
278C2×D4×D67—44no—
279C2×D4×D67C2318yes—
280C2×D4×D67C2318yescomplemented
281C2×D4×D67C2318yescomplemented
282C23×Dic67C2311yescharacteristic
283C23×Dic67C2311yescharacteristic
284C23×Dic67C2311yescharacteristic
285C22×C4×D67—44no—
286C22×C4×D67C2311yescharacteristic
287C22×C4×D67C2311yescharacteristic
288C22×C4×D67C2311yescharacteristic
289C22×C4×D67C2311yescharacteristic
290C22×C4×D67C2311yescharacteristic
291C22×C4×D67C2311yescharacteristic
292C22×C4×D67C2311yescharacteristic
293C22×C4×D67C2311yescharacteristic
294C22×C4×D67C2311yescharacteristic
295C22×C4×D67C2311yescharacteristic
296C22×C4×D67C2311yescharacteristic
297C22×C4×D67C2311yescharacteristic
298C22×C4×D67C2311yescharacteristic
299C22×C4×D67C2311yescharacteristic
300C22×C4×D67C2311yescharacteristic
301C22×C4×D67C2318yescomplemented
302#14524040C2318yescomplemented
303#14524039C2318yescomplemented
304#14524038C2318yescomplemented
305#14524038C2318yescomplemented
306#14524038C2318yescomplemented
307#14524037C2318yescomplemented
308#14524037C2318yescomplemented
309#14524036C2318yescomplemented
310#14524035C2318yescomplemented
311#14524034C2318yescomplemented
312#14524034C2318yescomplemented
313#14524033C2318yescomplemented
314#14524032C2318yescomplemented
315#14524031C2318yescomplemented
316#14524029C2318yescomplemented
317#14524029C2318yescomplemented
318#14524029C2318yescomplemented
319#14524028C2318yescomplemented
320#14524028C2318yescomplemented
321#14524028C2318yescomplemented
322#14524028C2318yescomplemented
323#14524028C2318yescomplemented
324#14524028C2318yescomplemented
325#14524028C2318yescomplemented
326#14524028C2318yescomplemented
327#14524028C2318yescomplemented
328#14524027C2318yescomplemented
329#14524027C2318yescomplemented
330#14524027C2318yescomplemented
331#14524027C2318yescomplemented
332#14524027C2318yescomplemented
333#14524026C2318yescomplemented
334#14524026C2318yescomplemented
335#14524026C2318yescomplemented
336#14524025C2318yescomplemented
337#14524025C2318yescomplemented
338#14524025C2318yescomplemented
339#14524025C2318yescomplemented
340#14524025C2318yescomplemented
341#14524025C2318yescomplemented
342#14524025C2318yescomplemented
343#14524024C2318yescomplemented
344#14524023C2318yescomplemented
345#14524023C2318yescomplemented
346#14524022C2318yescomplemented
347#14524021C2318yescomplemented
348#14524021C2318yescomplemented
349#14524021C2318yescomplemented
350#14524020C2318yescomplemented
351#14524020C2318yescomplemented
352#14524019C2318yescomplemented
353#14524019C2318yescomplemented
354#14524018C2318yescomplemented
355#14524018C2318yescomplemented
356#14524018C2318yescomplemented
357#14524018C2318yescomplemented
358#14524018C2318yescomplemented
359#14524018C2318yescomplemented
360#14524018C2318yescomplemented
361#14524018C2318yescomplemented
362#14524017C2318yes—
363#14524017C2318yescomplemented
364#14524017C2318yescomplemented
365#14524017C2318yescomplemented
366#14524017C2318yescomplemented
367#14524017C2318yescomplemented
368#14524017C2318yescomplemented
369#14524016C2318yes—
370#14524016C2318yescomplemented
371#14524016C2318yescomplemented
372#14524016C2318yescomplemented
373#14524016C2318yescomplemented
374#14524016C2318yescomplemented
375#14524016C2318yescomplemented
376#14524016C2318yescomplemented
377#14524016C2318yescomplemented
378#14524016C2318yescomplemented
379#14524016C2318yescomplemented
380#14524016C2318yescomplemented
381#14524016C2318yescomplemented
382#14524016C2318yescomplemented
383#14524016C2318yescomplemented
384#14524016C2318yescomplemented
385#14524016C2318yescomplemented
386#14524015C2318yes—
387#14524015C2318yescomplemented
388#14524014C2318yescomplemented
389#14524014C2318yescomplemented
390#14524013C2318yes—
391#14524013C2318yescomplemented
392#14524013C2318yescomplemented
393#14524013C2318yescomplemented
394#14524013C2318yescomplemented
395#14524013C2318yescomplemented
396#14524013C2318yescomplemented
397#14524013C2318yescomplemented
398#14524013C2318yescomplemented
399#14524013C2318yescomplemented
400#14524013C2318yescomplemented
401#14524012C2318yescomplemented
402#14524011C2318yescomplemented
403#14524011C2318yescomplemented
404#14524011C2318yescomplemented
405C4×D268C2318yescomplemented
406C4×D268C2318yescomplemented
407C4×D268C2318yescomplemented
408C4×D268C2318yescomplemented
409C4×D268C2318yescomplemented
410C4×D268C2318yescomplemented
411#14524005C2318yescomplemented
412#14524005C2318yescomplemented
413C4×C22⋊D67C2318yescomplemented
414C4×C22⋊D67C2318yescomplemented
415(C22⋊D67)⋊C4C2318yescomplemented
416(C22⋊D67)⋊C4C2318yescomplemented
417(C22⋊D67)⋊C4C2318yescomplemented
418(C22⋊D67)⋊C4C2318yescomplemented
419#14524000C2318yescomplemented
420C2×C4⋊Dic67C2311yescharacteristic
421C2×C4⋊Dic67C2311yescharacteristic
422C2×C4⋊Dic67C2311yescharacteristic
423C2×C4⋊Dic67C2311yescharacteristic
424C2×C4⋊Dic67C2311yescharacteristic
425C2×C4⋊Dic67C2311yescharacteristic
426C2×C4⋊Dic67C2311yescharacteristic
427C2×C4⋊Dic67C2311yescharacteristic
428C2×Dic67⋊C4C2311yescharacteristic
429C2×Dic67⋊C4C2311yescharacteristic
430C2×Dic67⋊C4C2311yescharacteristic
431C2×Dic67⋊C4C2311yescharacteristic
432C2×Dic67⋊C4C2311yescharacteristic
433C2×Dic67⋊C4C2311yescharacteristic
434C2×Dic67⋊C4C2311yescharacteristic
435C2×Dic67⋊C4C2311yescharacteristic
436C2×Dic67⋊C4C2311yescharacteristic
437C2×Dic67⋊C4C2311yescharacteristic
438C2×Dic67⋊C4C2311yescharacteristic
439C2×Dic67⋊C4C2311yescharacteristic
440C2×Dic67⋊C4C2311yescharacteristic
441C2×Dic67⋊C4C2311yescharacteristic
442C2×Dic67⋊C4C2318yescomplemented
443C4⋊C4×D67C2318yescomplemented
444C4⋊C4×D67C2318yescomplemented
445C2×C22⋊Dic67C2311yescharacteristic
446C2×C22⋊Dic67C2311yescharacteristic
447C2×C22⋊Dic67C2311yescharacteristic
448C2×C22⋊Dic67C2311yescharacteristic
449C2×C22⋊Dic67C2311yescharacteristic
450C2×C22⋊Dic67C2311yescharacteristic
451C2×(C2×D67)⋊C4C2311yescharacteristic
452C2×(C2×D67)⋊C4C2311yescharacteristic
453C2×(C2×D67)⋊C4C2311yescharacteristic
454C2×(C2×D67)⋊C4C2311yescharacteristic
455C2×(C2×D67)⋊C4C2311yescharacteristic
456C2×(C2×D67)⋊C4C2311yescharacteristic
457C2×(C2×D67)⋊C4C2311yescharacteristic
458C2×(C2×D67)⋊C4C2311yescharacteristic
459C2×(C2×D67)⋊C4C2311yescharacteristic
460C2×(C2×D67)⋊C4C2311yescharacteristic
461C2×(C2×D67)⋊C4C2311yescharacteristic
462C2×(C2×D67)⋊C4C2311yescharacteristic
463C2×(C2×D67)⋊C4C2311yescharacteristic
464C2×(C2×D67)⋊C4C2311yescharacteristic
465C2×(C2×D67)⋊C4C2311yescharacteristic
466C2×(C2×D67)⋊C4C2311yescharacteristic
467C2×(C2×D67)⋊C4C2311yescharacteristic
468C2×(C2×D67)⋊C4C2311yescharacteristic
469C2×(C2×D67)⋊C4C2311yescharacteristic
470C2×(C2×D67)⋊C4C2311yescharacteristic
471C2×(C2×D67)⋊C4C2311yescharacteristic
472C2×(C2×D67)⋊C4C2311yescharacteristic
473C2×(C2×D67)⋊C4C2311yescharacteristic
474C2×(C2×D67)⋊C4C2311yescharacteristic
475C2×(C2×D67)⋊C4C2311yescharacteristic
476C2×(C2×D67)⋊C4C2311yescharacteristic
477C2×(C2×D67)⋊C4C2311yescharacteristic
478C2×(C2×D67)⋊C4C2311yescharacteristic
479C2×(C2×D67)⋊C4C2311yescharacteristic
480C2×(C2×D67)⋊C4C2311yescharacteristic
481C2×(C2×D67)⋊C4C2318yescomplemented
482C22⋊C4×D67C2318yescomplemented
483C22⋊C4×D67C2318yescomplemented
484C22⋊C4×D67C2318yescomplemented
485C22⋊C4×D67C2318yescomplemented
486C22⋊C4×D67C2318yescomplemented
487C22⋊C4×D67C2318yescomplemented
488C2×C4×Dic67C2311yescharacteristic
489C2×C4×Dic67C2311yescharacteristic
490C2×C4×Dic67C2311yescharacteristic
491C25×C67C2311yescharacteristic
492C22×Q8×C67C2311yescharacteristic
493C22×D4×C67C2311yescharacteristic
494C22×D4×C67C2311yescharacteristic
495C22×D4×C67C2311yescharacteristic
496C23×C4×C67C2311yescharacteristic
497C23×C4×C67C2311yescharacteristic
498C23×C4×C67C2311yescharacteristic
499C23×C4×C67C2311yescharacteristic
500C23×C4×C67C2311yescharacteristic
501#126×C67C2318yescomplemented
502#126×C67C2318yescomplemented
503#124×C67C2318yescomplemented
504#123×C67C2318yescomplemented
505#123×C67C2318yescomplemented
506#123×C67C2318yescomplemented
507C22⋊Q8×C67C2318yescomplemented
508C22⋊Q8×C67C2318yescomplemented
509#120×C67C2318yes—
510C4×D4×C67C2318yescomplemented
511C4×D4×C67C2318yescomplemented
512#117×C67C2318yescomplemented
513#117×C67C2318yescomplemented
514C2×C4⋊C4×C67C2311yescharacteristic
515C2×C4⋊C4×C67C2311yescharacteristic
516C2×C4⋊C4×C67C2311yescharacteristic
517C2×C4⋊C4×C67C2311yescharacteristic
518C2×C4⋊C4×C67C2311yescharacteristic
519C2×C4⋊C4×C67C2311yescharacteristic
520C2×C4⋊C4×C67C2311yescharacteristic
521C2×C4⋊C4×C67C2311yescharacteristic
522C2×C22⋊C4×C67C2311yescharacteristic
523C2×C22⋊C4×C67C2311yescharacteristic
524C2×C22⋊C4×C67C2311yescharacteristic
525C2×C22⋊C4×C67C2311yescharacteristic
526C2×C22⋊C4×C67C2311yescharacteristic
527C2×C22⋊C4×C67C2311yescharacteristic
528C2×C22⋊C4×C67C2311yescharacteristic
529C2×C22⋊C4×C67C2311yescharacteristic
530C2×C22⋊C4×C67C2311yescharacteristic
531C2×C22⋊C4×C67C2311yescharacteristic
532C2×C22⋊C4×C67C2311yescharacteristic
533C2×C22⋊C4×C67C2311yescharacteristic
534C2×C22⋊C4×C67C2311yescharacteristic
535C2×C22⋊C4×C67C2311yescharacteristic
536C2×C22⋊C4×C67C2318yescomplemented
537C2×C22⋊C4×C67C2318yescomplemented
538C2×C42×C67C2311yescharacteristic
539C2×C42×C67C2311yescharacteristic
540C2×C42×C67C2311yescharacteristic
541C23×D67—24no—
542C23×D67—24no—
543C23×D67—24no—
544C23×D67—24no—
545C23×D67—42no—
546C23×D67—42no—
547C23×D67—42no—
548C23×D67—42no—
549C23×D67—42no—
550C23×D67—42no—
551C23×D67—42no—
552C23×D67—42no—
553C23×D67—42no—
554C23×D67—42no—
555C23×D67—42no—
556C23×D67C2411yescharacteristic
557C23×D67C2411yescharacteristic
558C23×D67C2411yescharacteristic
559C23×D67C2411yescharacteristic
560C23×D67C2411yescharacteristic
561C23×D67C2411yescharacteristic
562C23×D67C2414yes—
563C23×D67C2411yescharacteristic
564C23×D67C2414yes—
565C23×D67C2414yes—
566C23×D67C2414yes—
567C23×D67C2414yes—
568#11761629—416no—
569#11761628—416no—
570#11761628—416no—
571C2×Dic134—42no—
572C2×Dic134—42no—
573C2×Dic134C2414yes—
574C2×Dic134C2414yes—
575C2×D268—24no—
576C2×D268—24no—
577C2×D268—24no—
578C2×D268—24no—
579C2×D268—416no—
580C2×D268—416no—
581C2×D268—42no—
582C2×D268—42no—
583C2×D268—42no—
584C2×D268—42no—
585C2×D268—42no—
586C2×D268—42no—
587C2×D268—42no—
588C2×D268—42no—
589C2×D268—42no—
590C2×D268—42no—
591C2×D268—42no—
592C2×D268—42no—
593C2×D268C2414yes—
594C2×D268C2414yes—
595C2×D268C2414yes—
596C2×D268C2414yes—
597C2×D268C2414yes—
598C2×D268C2414yes—
599C2×D268C2414yes—
600C2×D268C2414yes—
601C2×D268C2414yes—
602C2×D268C2414yes—
603C2×D268C2414yes—
604C2×D268C2414yes—
605C2×D268C2414yes—
606C2×D268C2414yes—
607C2×D268C2414yes—
608C2×D268C2414yes—
609C2×C22⋊D67—24no—
610C2×C22⋊D67—24no—
611C2×C22⋊D67—24no—
612C2×C22⋊D67—24no—
613C2×C22⋊D67—24no—
614C2×C22⋊D67—42no—
615C2×C22⋊D67—42no—
616C2×C22⋊D67—42no—
617C2×C22⋊D67—42no—
618C2×C22⋊D67—42no—
619C2×C22⋊D67—42no—
620C2×C22⋊D67—42no—
621C2×C22⋊D67—42no—
622C2×C22⋊D67—42no—
623C2×C22⋊D67—42no—
624C2×C22⋊D67—42no—
625C2×C22⋊D67—416no—
626C2×C22⋊D67—42no—
627C2×C22⋊D67—42no—
628C2×C22⋊D67—416no—
629C2×C22⋊D67—416no—
630C2×C22⋊D67C2414yes—
631C2×C22⋊D67C2414yes—
632C2×C22⋊D67C2414yes—
633C2×C22⋊D67C2414yes—
634C2×C22⋊D67C2414yes—
635C2×C22⋊D67C2414yes—
636C2×C22⋊D67C2414yes—
637C2×C22⋊D67C2414yes—
638C2×C22⋊D67C2414yes—
639C2×C22⋊D67C2414yes—
640C2×C22⋊D67C2414yes—
641C2×C22⋊D67C2414yes—
642C2×C22⋊D67C2414yes—
643C2×C22⋊D67C2414yes—
644C2×C22⋊D67C2414yes—
645C2×C22⋊D67C2414yes—
646C2×C22⋊D67C2414yes—
647C2×C22⋊D67C2414yes—
648D4×D67—416no—
649D4×D67—416no—
650D4×D67—416no—
651C22×Dic67—24no—
652C22×Dic67—42no—
653C22×Dic67—42no—
654C22×Dic67C2411yescharacteristic
655C22×Dic67C2411yescharacteristic
656C22×Dic67C2411yescharacteristic
657C22×Dic67C2411yescharacteristic
658C22×Dic67C2411yescharacteristic
659C22×Dic67C2411yescharacteristic
660C22×Dic67C2411yescharacteristic
661C22×Dic67C2411yescharacteristic
662C22×Dic67C2411yescharacteristic
663C22×Dic67C2414yes—
664C22×Dic67C2414yes—
665C22×Dic67C2414yes—
666C2×C4×D67—24no—
667C2×C4×D67—42no—
668C2×C4×D67—42no—
669C2×C4×D67—42no—
670C2×C4×D67—42no—
671C2×C4×D67—416no—
672C2×C4×D67—42no—
673C2×C4×D67—42no—
674C2×C4×D67—42no—
675C2×C4×D67—42no—
676C2×C4×D67—42no—
677C2×C4×D67—42no—
678C2×C4×D67—42no—
679C2×C4×D67—42no—
680C2×C4×D67—42no—
681C2×C4×D67—42no—
682C2×C4×D67C2414yes—
683C2×C4×D67C2414yes—
684C2×C4×D67C2414yes—
685C2×C4×D67C2414yes—
686C2×C4×D67C2414yes—
687C2×C4×D67C2414yes—
688C2×C4×D67C2414yes—
689C2×C4×D67C2414yes—
690C2×C4×D67C2414yes—
691C2×C4×D67C2414yes—
692C2×C4×D67C2414yes—
693C2×C4×D67C2414yes—
694C2×C4×D67C2414yes—
695C2×C4×D67C2414yes—
696C2×C4×D67C2414yes—
697C4⋊Dic67C2414yes—
698C4⋊Dic67C2414yes—
699C4⋊Dic67C2414yes—
700C4⋊Dic67C2414yes—
701C4⋊Dic67C2414yes—
702C4⋊Dic67C2414yes—
703C4⋊Dic67C2414yes—
704C4⋊Dic67C2414yes—
705Dic67⋊C4C2414yes—
706Dic67⋊C4C2414yes—
707Dic67⋊C4C2414yes—
708Dic67⋊C4C2414yes—
709Dic67⋊C4C2414yes—
710Dic67⋊C4C2414yes—
711Dic67⋊C4C2414yes—
712Dic67⋊C4C2414yes—
713Dic67⋊C4C2414yes—
714Dic67⋊C4C2414yes—
715Dic67⋊C4C2414yes—
716Dic67⋊C4C2414yes—
717Dic67⋊C4C2414yes—
718Dic67⋊C4C2414yes—
719C22⋊Dic67C2414yes—
720C22⋊Dic67C2414yes—
721C22⋊Dic67C2414yes—
722C22⋊Dic67C2414yes—
723C22⋊Dic67C2414yes—
724C22⋊Dic67C2414yes—
725(C2×D67)⋊C4C2414yes—
726(C2×D67)⋊C4C2414yes—
727(C2×D67)⋊C4C2414yes—
728(C2×D67)⋊C4C2414yes—
729(C2×D67)⋊C4C2414yes—
730(C2×D67)⋊C4C2414yes—
731(C2×D67)⋊C4C2414yes—
732(C2×D67)⋊C4C2414yes—
733(C2×D67)⋊C4C2414yes—
734(C2×D67)⋊C4C2414yes—
735(C2×D67)⋊C4C2414yes—
736(C2×D67)⋊C4C2414yes—
737(C2×D67)⋊C4C2414yes—
738(C2×D67)⋊C4C2414yes—
739(C2×D67)⋊C4C2414yes—
740(C2×D67)⋊C4C2414yes—
741(C2×D67)⋊C4C2414yes—
742(C2×D67)⋊C4C2414yes—
743(C2×D67)⋊C4C2414yes—
744(C2×D67)⋊C4C2414yes—
745(C2×D67)⋊C4C2414yes—
746(C2×D67)⋊C4C2414yes—
747(C2×D67)⋊C4C2414yes—
748(C2×D67)⋊C4C2414yes—
749(C2×D67)⋊C4C2414yes—
750(C2×D67)⋊C4C2414yes—
751(C2×D67)⋊C4C2414yes—
752(C2×D67)⋊C4C2414yes—
753(C2×D67)⋊C4C2414yes—
754(C2×D67)⋊C4C2414yes—
755C4×Dic67C2414yes—
756C4×Dic67C2414yes—
757C4×Dic67C2414yes—
758C24×C67—24no—
759C24×C67—42no—
760C24×C67—42no—
761C24×C67C2411yescharacteristic
762C24×C67C2411yescharacteristic
763C24×C67C2411yescharacteristic
764C24×C67C2411yescharacteristic
765C24×C67C2414yes—
766C2×Q8×C67—42no—
767C2×Q8×C67C2414yes—
768C2×D4×C67—24no—
769C2×D4×C67—42no—
770C2×D4×C67—42no—
771C2×D4×C67C2414yes—
772C2×D4×C67C2414yes—
773C2×D4×C67C2414yes—
774C22×C4×C67—24no—
775C22×C4×C67—42no—
776C22×C4×C67—42no—
777C22×C4×C67—42no—
778C22×C4×C67—42no—
779C22×C4×C67C2411yescharacteristic
780C22×C4×C67C2411yescharacteristic
781C22×C4×C67C2411yescharacteristic
782C22×C4×C67C2411yescharacteristic
783C22×C4×C67C2411yescharacteristic
784C22×C4×C67C2411yescharacteristic
785C22×C4×C67C2411yescharacteristic
786C22×C4×C67C2411yescharacteristic
787C22×C4×C67C2411yescharacteristic
788C22×C4×C67C2411yescharacteristic
789C22×C4×C67C2411yescharacteristic
790C22×C4×C67C2414yes—
791C22×C4×C67C2414yes—
792C22×C4×C67C2414yes—
793C22×C4×C67C2414yes—
794C22×C4×C67C2414yes—
795C4⋊C4×C67C2414yes—
796C4⋊C4×C67C2414yes—
797C4⋊C4×C67C2414yes—
798C4⋊C4×C67C2414yes—
799C4⋊C4×C67C2414yes—
800C4⋊C4×C67C2414yes—
801C4⋊C4×C67C2414yes—
802C4⋊C4×C67C2414yes—
803C22⋊C4×C67C2414yes—
804C22⋊C4×C67C2414yes—
805C22⋊C4×C67C2414yes—
806C22⋊C4×C67C2414yes—
807C22⋊C4×C67C2414yes—
808C22⋊C4×C67C2414yes—
809C22⋊C4×C67C2414yes—
810C22⋊C4×C67C2414yes—
811C22⋊C4×C67C2414yes—
812C22⋊C4×C67C2414yes—
813C22⋊C4×C67C2414yes—
814C22⋊C4×C67C2414yes—
815C22⋊C4×C67C2414yes—
816C22⋊C4×C67C2414yes—
817C42×C67C2414yes—
818C42×C67C2414yes—
819C42×C67C2414yes—
820C23×C67—22no—
821C23×C67—22no—
822C23×C67—22no—
823C23×C67—22no—
824C23×C67—22no—
825C23×C67—22no—
826C23×C67—22no—
827C23×C67—22no—
828C23×C67—22no—
829C23×C67—22no—
830C23×C67—22no—
831C23×C67—28no—
832C23×C67—44no—
833C23×C67—44no—
834C23×C67—88no—
835C23×C67H(5,𝔽2)14yes—
836C23×C67C2512yes—
837C23×C67C2512yes—
838C23×C67C2512yes—
839C23×C67C2512yes—
840C23×C67C2511yescharacteristic
841C22×D67—22no—
842C22×D67—22no—
843C22×D67—28no—
844C22×D67—22no—
845C22×D67—22no—
846C22×D67—22no—
847C22×D67—22no—
848C22×D67—22no—
849C22×D67—22no—
850C22×D67—22no—
851C22×D67—22no—
852C22×D67—22no—
853C22×D67—22no—
854C22×D67—22no—
855C22×D67—22no—
856C22×D67—22no—
857C22×D67—22no—
858C22×D67—22no—
859C22×D67—22no—
860C22×D67—22no—
861C22×D67—22no—
862C22×D67—28no—
863C22×D67—28no—
864C22×D67—28no—
865C22×D67—44no—
866C22×D67—44no—
867C22×D67—44no—
868C22×D67—44no—
869C22×D67—44no—
870C22×D67—44no—
871C22×D67—44no—
872C22×D67—44no—
873C22×D67—44no—
874C22×D67—44no—
875C22×D67—44no—
876C22×D67—416no—
877C22×D67—88no—
878C22×D67—88no—
879C22×D67—88no—
880C22×D67—88no—
881C22×D67H(5,𝔽2)14yes—
882C22×D67C2512yes—
883C22×D67C2512yes—
884C22×D67C2512yes—
885C22×D67C2512yes—
886C22×D67C2512yes—
887C22×D67C2512yes—
888C22×D67C2512yes—
889Q8×C67—44no—
890D4×C67—28no—
891D4×C67—44no—
892D4×C67—44no—
893C2×C4×C67—22no—
894C2×C4×C67—22no—
895C2×C4×C67—28no—
896C2×C4×C67—22no—
897C2×C4×C67—22no—
898C2×C4×C67—22no—
899C2×C4×C67—22no—
900C2×C4×C67—22no—
901C2×C4×C67—22no—
902C2×C4×C67—22no—
903C2×C4×C67—22no—
904C2×C4×C67—22no—
905C2×C4×C67—44no—
906C2×C4×C67—44no—
907C2×C4×C67—44no—
908C2×C4×C67—44no—
909C2×C4×C67C2512yes—
910C2×C4×C67C2512yes—
911C2×C4×C67C2512yes—
912C2×C4×C67C2512yes—
913C2×C4×C67C2512yes—
914C2×C4×C67C2512yes—
915C2×C4×C67C2512yes—
916C2×C4×C67C2512yes—
917C2×C4×C67C2512yes—
918C2×C4×C67C2512yes—
919C2×C4×C67C2512yes—
920C22⋊D67—28no—
921C22⋊D67—28no—
922C22⋊D67—28no—
923C22⋊D67—28no—
924C22⋊D67—28no—
925C22⋊D67—44no—
926C22⋊D67—44no—
927C22⋊D67—44no—
928C22⋊D67—44no—
929C22⋊D67—44no—
930C22⋊D67—44no—
931C22⋊D67—44no—
932C22⋊D67—44no—
933C22⋊D67—44no—
934C22⋊D67—44no—
935C22⋊D67—44no—
936C22⋊D67—44no—
937C22⋊D67—44no—
938C2×Dic67—22no—
939C2×Dic67—28no—
940C2×Dic67—22no—
941C2×Dic67—22no—
942C2×Dic67—22no—
943C2×Dic67—22no—
944C2×Dic67—22no—
945C2×Dic67—22no—
946C2×Dic67—22no—
947C2×Dic67—22no—
948C2×Dic67—44no—
949C2×Dic67—44no—
950C2×Dic67C2512yes—
951C2×Dic67C2512yes—
952C2×Dic67C2512yes—
953C2×Dic67C2512yes—
954C2×Dic67C2512yes—
955C2×Dic67C2512yes—
956C2×Dic67C2512yes—
957C2×Dic67C2512yes—
958C2×Dic67C2512yes—
959D268—28no—
960D268—28no—
961D268—28no—
962D268—28no—
963D268—44no—
964D268—44no—
965D268—44no—
966D268—44no—
967D268—44no—
968D268—44no—
969D268—44no—
970D268—44no—
971D268—44no—
972D268—44no—
973D268—44no—
974D268—44no—
975C4×D67—28no—
976C4×D67—44no—
977C4×D67—44no—
978C4×D67—44no—
979C4×D67—44no—
980C4×D67—44no—
981C4×D67—44no—
982C4×D67—44no—
983C4×D67—44no—
984C4×D67—44no—
985C4×D67—44no—
986C4×D67—44no—
987C4×D67—44no—
988C4×D67—44no—
989C4×D67—44no—
990Dic134—44no—
991Dic134—44no—
992C22×C67—22no—
993C22×C67—22no—
994C22×C67—28no—
995C22×C67—22no—
996C22×C67—22no—
997C22×C67—22no—
998C22×C67—22no—
999C22×C67—22no—
1000C22×C67—22no—
1001C22×C67—22no—
1002C22×C67—22no—
1003C22×C67—22no—
1004C22×C67—44no—
1005C22×C67—44no—
1006C22×C67—44no—
1007C22×C67—88no—
1008C22×C67C2×H(5,𝔽2)12yes—
1009C22×C67C2×H(5,𝔽2)14yes—
1010C22×C67C2×H(5,𝔽2)12yes—
1011C22×C67#58512yes—
1012C22×C67C2611yescharacteristic
1013C2×D67—22no—
1014C2×D67—22no—
1015C2×D67—28no—
1016C2×D67—22no—
1017C2×D67—22no—
1018C2×D67—22no—
1019C2×D67—22no—
1020C2×D67—22no—
1021C2×D67—22no—
1022C2×D67—22no—
1023C2×D67—22no—
1024C2×D67—22no—
1025C2×D67—22no—
1026C2×D67—22no—
1027C2×D67—22no—
1028C2×D67—22no—
1029C2×D67—22no—
1030C2×D67—22no—
1031C2×D67—22no—
1032C2×D67—22no—
1033C2×D67—22no—
1034C2×D67—416no—
1035C2×D67—44no—
1036C2×D67—44no—
1037C2×D67—44no—
1038C2×D67—44no—
1039C2×D67—44no—
1040C2×D67—44no—
1041C2×D67—88no—
1042C2×D67—88no—
1043C2×D67—88no—
1044C2×D67—88no—
1045C2×D67C2×H(5,𝔽2)14yes—
1046C4×C67—22no—
1047C4×C67—22no—
1048C4×C67—22no—
1049C4×C67—22no—
1050C4×C67—22no—
1051C4×C67—22no—
1052C4×C67—22no—
1053C4×C67—22no—
1054C4×C67—22no—
1055C4×C67—22no—
1056C4×C67—22no—
1057Dic67—22no—
1058Dic67—22no—
1059Dic67—22no—
1060Dic67—22no—
1061Dic67—22no—
1062Dic67—22no—
1063Dic67—22no—
1064Dic67—22no—
1065Dic67—22no—
1066C2×#3534—671nomaximal, Sylow
1067C2×C67—24no—
1068C2×C67—42no—
1069C2×C67—42no—
1070C2×C67—42no—
1071C2×C67#353414yescomplemented
1072C2×C67C22×H(5,𝔽2)11yescharacteristic
1073C2×C67C22×H(5,𝔽2)11yescharacteristic
1074C2×C67C2×#58511yescharacteristic
1075D67—24no—
1076D67—42no—
1077D67—42no—
1078D67—42no—
1079D67—42no—
1080D67—42no—
1081D67—42no—
1082#3534—6732no—
1083C2×#562—671no—
1084C2×#562—671no—
1085C2×#560—671no—
1086C2×#560—671no—
1087C2×#553—671no—
1088C2×#553—671no—
1089C2×#551—671no—
1090C2×#551D6711yescharacteristic, complemented
1091C2×#546—671no—
1092C2×#546—671no—
1093C2×#546—671no—
1094C2×#546—671no—
1095C2×#546—671no—
1096C2×#546—671no—
1097C2×D42—671no—
1098C2×D42—671no—
1099C2×#540—671no—
1100C2×#540—671no—
1101C2×#539—671no—
1102C2×#539—671no—
1103C2×#539—671no—
1104C2×#538—671no—
1105C2×#538—671no—
1106C2×#538—671no—
1107C2×#537—671no—
1108C2×#534—671no—
1109C2×#534—671no—
1110C2×#534—671no—
1111C2×#525—671no—
1112C22×#123—671no—
1113C22×#121—671no—
1114C67C2×#353411yescharacteristic, complemented, Sylow
1115C22×#41—671no—
1116C22×#41—671no—
1117C22×#41—671no—
1118C23×D4—671no—
1119C23×D4—671no—
1120C23×D4—671no—
1121C23×D4—671no—
1122C23×D4—671no—
1123C23×D4—671no—
1124C23×D4—671no—
1125C23×D4—671no—
1126C24×C4—671no—
1127#562—6716no—
1128#562—6716no—
1129#560—6716no—
1130#560—6716no—
1131#553—6716no—
1132#553—6716no—
1133#551—6716no—
1134#551C2×D67116yescomplemented
1135#546—6716no—
1136#546—6716no—
1137#546—6716no—
1138#546—6716no—
1139#546—6716no—
1140#546—6716no—
1141D42—6716no—
1142D42—6716no—
1143#540—6716no—
1144#540—6716no—
1145#539—6716no—
1146#539—6716no—
1147#539—6716no—
1148#538—6716no—
1149#538—6716no—
1150#538—6716no—
1151#537—6716no—
1152#534—6716no—
1153#534—6716no—
1154#534—6716no—
1155C2×#127—671no—
1156C2×#127—671no—
1157C2×#126—671no—
1158C2×#126—671no—
1159C2×#126—671no—
1160C2×#126—671no—
1161C2×#126—671no—
1162C2×#126—671no—
1163C2×#126C2×D6711yescharacteristic, complemented
1164C2×#126C2×D6711yescharacteristic, complemented
1165C2×#125—671no—
1166C2×#125—671no—
1167C2×#125—671no—
1168C2×#125—671no—
1169C2×#124—671no—
1170C2×#124—671no—
1171C2×#124—671no—
1172C2×#124—671no—
1173C2×#124—671no—
1174C2×#124C2×D6711yescharacteristic, complemented
1175#525—6716no—
1176C2×#123—671no—
1177C2×#123—671no—
1178C2×#123—671no—
1179C2×#123—671no—
1180C2×#123—6716no—
1181C2×#123—671no—
1182C2×#123—671no—
1183C2×#123—671no—
1184C2×#123—671no—
1185C2×#123—671no—
1186C2×#123—671no—
1187C2×#123—671no—
1188C2×#123—671no—
1189C2×#123—671no—
1190C2×#123—671no—
1191C2×#123—671no—
1192C2×#123—671no—
1193C2×#123—671no—
1194C2×#123—671no—
1195C2×#123—671no—
1196C2×#123—671no—
1197C2×#123—671no—
1198C2×#123—671no—
1199C2×#123—671no—
1200C2×#123—671no—
1201C2×#123—671no—
1202C2×#123C2×D6711yescharacteristic, complemented
1203C2×#123C2×D6711yescharacteristic, complemented
1204C2×#123C2×D6711yescharacteristic, complemented
1205C2×C22⋊Q8—671no—
1206C2×C22⋊Q8—671no—
1207C2×C22⋊Q8—671no—
1208C2×C22⋊Q8—671no—
1209C2×C22⋊Q8—671no—
1210C2×C22⋊Q8—671no—
1211C2×C22⋊Q8—671no—
1212C2×C22⋊Q8—671no—
1213C2×C22⋊Q8—671no—
1214C2×C22⋊Q8—671no—
1215C2×C22⋊Q8C2×D6711yescharacteristic, complemented
1216C2×C22⋊Q8C2×D6711yescharacteristic, complemented
1217C2×#121—671no—
1218C2×#121—671no—
1219C2×#121—671no—
1220C2×#121—671no—
1221C2×#121—671no—
1222C2×#121—671no—
1223C2×#121—671no—
1224C2×#121—671no—
1225C2×#121—671no—
1226C2×#121—671no—
1227C2×#121—671no—
1228C2×#121—671no—
1229C2×#121—671no—
1230C2×#121—671no—
1231C2×#121—671no—
1232C2×#121—671no—
1233C2×#121—671no—
1234C2×#121—671no—
1235C2×#121—671no—
1236C2×#121—671no—
1237C2×#121—671no—
1238C2×#121—671no—
1239C2×#121—671no—
1240C2×#121—671no—
1241C2×#121—671no—
1242C2×#121—671no—
1243C2×#121—671no—
1244C2×#121—671no—
1245C2×#121—671no—
1246C2×#121—671no—
1247C2×#121—671no—
1248C2×#121—671no—
1249C2×#121—671no—
1250C2×#121—671no—
1251C2×#121—671no—
1252C2×#121—671no—
1253C2×#121—6716no—
1254C2×#120—671no—
1255C2×#120—671no—
1256C2×#120—671no—
1257C2×#120—671no—
1258C2×#120—671no—
1259C2×#120—671no—
1260C2×#120—671no—
1261C2×#120—671no—
1262C2×#120—671no—
1263C2×#120—671no—
1264C2×#120—671no—
1265C2×#120—671no—
1266C2×#120—671no—
1267C2×#120—671no—
1268C2×#120—671no—
1269C2×#120C2×D6711yescharacteristic
1270C2×C4×D4—671no—
1271C2×C4×D4—671no—
1272C2×C4×D4—671no—
1273C2×C4×D4—671no—
1274C2×C4×D4—671no—
1275C2×C4×D4—671no—
1276C2×C4×D4—671no—
1277C2×C4×D4—671no—
1278C2×C4×D4—671no—
1279C2×C4×D4—671no—
1280C2×C4×D4—671no—
1281C2×C4×D4—671no—
1282C2×C4×D4—671no—
1283C2×C4×D4—671no—
1284C2×C4×D4C2×D6711yescharacteristic, complemented
1285C2×C4×D4C2×D6711yescharacteristic, complemented
1286C2×#117—671no—
1287C2×#117C2×D6711yescharacteristic, complemented
1288C2×#117C2×D6711yescharacteristic, complemented
1289C22×C4⋊C4—671no—
1290C22×C4⋊C4—671no—
1291C22×C4⋊C4—671no—
1292C22×C22⋊C4—671no—
1293C22×C22⋊C4—671no—
1294C22×C22⋊C4—671no—
1295C22×C22⋊C4—671no—
1296C22×C22⋊C4—671no—
1297C22×C22⋊C4—671no—
1298C22×C22⋊C4—671no—
1299C22×C22⋊C4C2×D6711yescharacteristic, complemented
1300C22×C22⋊C4C2×D6711yescharacteristic, complemented
1301C25—671no—
1302C25—671no—
1303C25—671no—
1304C25—671no—
1305C25—671no—
1306C25C22×D6711yescharacteristic
1307C2×#41—2684no—
1308C2×#41—2684no—
1309C2×#41—2684no—
1310C2×#41—678no—
1311C2×#41—678no—
1312C2×#41—678no—
1313C22×Q8—671no—
1314C22×Q8—671no—
1315C22×Q8C22×D6711yescharacteristic
1316C22×D4—2684no—
1317C22×D4—2684no—
1318C22×D4—2684no—
1319C22×D4—2684no—
1320C22×D4—2684no—
1321C22×D4—2684no—
1322C22×D4—2684no—
1323C22×D4—2684no—
1324C22×D4—671no—
1325C22×D4—671no—
1326C22×D4—671no—
1327C22×D4—671no—
1328C22×D4—671no—
1329C22×D4—671no—
1330C22×D4—671no—
1331C22×D4—671no—
1332C22×D4—671no—
1333C22×D4—671no—
1334C22×D4—671no—
1335C22×D4—671no—
1336C22×D4—671no—
1337C22×D4—678no—
1338C22×D4—678no—
1339C22×D4—678no—
1340C22×D4—678no—
1341C22×D4—678no—
1342C22×D4—678no—
1343C22×D4—671no—
1344C22×D4—671no—
1345C22×D4—671no—
1346C22×D4—671no—
1347C22×D4—671no—
1348C22×D4—671no—
1349C22×D4—671no—
1350C22×D4—671no—
1351C22×D4—671no—
1352C22×D4—671no—
1353C22×D4—671no—
1354C22×D4—671no—
1355C22×D4—671no—
1356C22×D4—671no—
1357C22×D4—671no—
1358C22×D4—671no—
1359C22×D4—671no—
1360C22×D4—678no—
1361C22×D4—678no—
1362C22×D4—671no—
1363C22×D4—671no—
1364C22×D4—671no—
1365C22×D4—671no—
1366C22×D4C22×D6711yescharacteristic
1367C22×D4C22×D6711yescharacteristic
1368C22×D4C22×D6711yescharacteristic
1369C23×C4—2684no—
1370C23×C4—671no—
1371C23×C4—671no—
1372C23×C4—671no—
1373C23×C4—671no—
1374C23×C4—671no—
1375C23×C4—671no—
1376C23×C4—671no—
1377C23×C4—671no—
1378C23×C4—671no—
1379C23×C4—671no—
1380C23×C4—671no—
1381C23×C4—671no—
1382C23×C4—671no—
1383C23×C4—671no—
1384C23×C4—671no—
1385C23×C4—671no—
1386C23×C4—678no—
1387C23×C4—671no—
1388C23×C4—671no—
1389C23×C4C22×D6711yescharacteristic
1390C23×C4C22×D6711yescharacteristic
1391C23×C4C22×D6711yescharacteristic
1392C23×C4C22×D6711yescharacteristic
1393C23×C4C22×D6711yescharacteristic
1394#127—678no—
1395#127—678no—
1396#126—678no—
1397#126—678no—
1398#126—678no—
1399#126—678no—
1400#126—678no—
1401#126—678no—
1402#126C22×D6718yescomplemented
1403#126C22×D6718yescomplemented
1404#125—678no—
1405#125—678no—
1406#125—678no—
1407#125—678no—
1408#124—678no—
1409#124—678no—
1410#124—678no—
1411#124—678no—
1412#124—678no—
1413#124C22×D6718yescomplemented
1414#123—678no—
1415#123—678no—
1416#123—678no—
1417#123—678no—
1418#123—678no—
1419#123—678no—
1420#123—678no—
1421#123—678no—
1422#123—678no—
1423#123—678no—
1424#123—678no—
1425#123—678no—
1426#123—678no—
1427#123—678no—
1428#123—678no—
1429#123—678no—
1430#123—678no—
1431#123—678no—
1432#123—678no—
1433#123—678no—
1434#123—678no—
1435#123—678no—
1436#123—678no—
1437#123—678no—
1438#123—678no—
1439#123C22×D6718yescomplemented
1440#123C22×D6718yescomplemented
1441#123C22×D6718yescomplemented
1442C22⋊Q8—678no—
1443C22⋊Q8—678no—
1444C22⋊Q8—678no—
1445C22⋊Q8—678no—
1446C22⋊Q8—678no—
1447C22⋊Q8—678no—
1448C22⋊Q8—678no—
1449C22⋊Q8—678no—
1450C22⋊Q8—678no—
1451C22⋊Q8—678no—
1452C22⋊Q8C22×D6718yescomplemented
1453C22⋊Q8C22×D6718yescomplemented
1454#121—678no—
1455#121—678no—
1456#121—678no—
1457#121—678no—
1458#121—678no—
1459#121—678no—
1460#121—678no—
1461#121—678no—
1462#121—678no—
1463#121—678no—
1464#121—678no—
1465#121—678no—
1466#121—678no—
1467#121—678no—
1468#121—678no—
1469#121—678no—
1470#121—678no—
1471#121—678no—
1472#121—678no—
1473#121—678no—
1474#121—678no—
1475#121—678no—
1476#121—678no—
1477#121—678no—
1478#121—678no—
1479#121—678no—
1480#121—678no—
1481#121—678no—
1482#121—678no—
1483#121—678no—
1484#121—678no—
1485#121—678no—
1486#121—678no—
1487#121—678no—
1488#121—678no—
1489#121—678no—
1490#120—678no—
1491#120—678no—
1492#120—678no—
1493#120—678no—
1494#120—678no—
1495#120—678no—
1496#120—678no—
1497#120—678no—
1498#120—678no—
1499#120—678no—
1500#120—678no—
1501#120—678no—
1502#120—678no—
1503#120—678no—
1504#120—678no—
1505#120C22×D6718yes—
1506C4×D4—678no—
1507C4×D4—678no—
1508C4×D4—678no—
1509C4×D4—678no—
1510C4×D4—678no—
1511C4×D4—678no—
1512C4×D4—678no—
1513C4×D4—678no—
1514C4×D4—678no—
1515C4×D4—678no—
1516C4×D4—678no—
1517C4×D4—678no—
1518C4×D4—678no—
1519C4×D4—678no—
1520C4×D4C22×D6718yescomplemented
1521C4×D4C22×D6718yescomplemented
1522#117—678no—
1523#117C22×D6718yescomplemented
1524#117C22×D6718yescomplemented
1525C2×C4⋊C4—671no—
1526C2×C4⋊C4—671no—
1527C2×C4⋊C4—671no—
1528C2×C4⋊C4—671no—
1529C2×C4⋊C4—671no—
1530C2×C4⋊C4—678no—
1531C2×C4⋊C4—671no—
1532C2×C4⋊C4—671no—
1533C2×C4⋊C4—671no—
1534C2×C4⋊C4—671no—
1535C2×C4⋊C4—671no—
1536C2×C4⋊C4—671no—
1537C2×C4⋊C4—671no—
1538C2×C4⋊C4—671no—
1539C2×C4⋊C4—671no—
1540C2×C4⋊C4—671no—
1541C2×C4⋊C4—671no—
1542C2×C4⋊C4—671no—
1543C2×C4⋊C4—671no—
1544C2×C4⋊C4—671no—
1545C2×C4⋊C4—671no—
1546C2×C4⋊C4—671no—
1547C2×C4⋊C4—671no—
1548C2×C4⋊C4—678no—
1549C2×C4⋊C4—678no—
1550C2×C4⋊C4C22×D6711yescharacteristic
1551C2×C4⋊C4C22×D6711yescharacteristic
1552C2×C4⋊C4C22×D6711yescharacteristic
1553C2×C4⋊C4C22×D6711yescharacteristic
1554C2×C4⋊C4C22×D6711yescharacteristic
1555C2×C4⋊C4C22×D6711yescharacteristic
1556C2×C4⋊C4C22×D6711yescharacteristic
1557C2×C4⋊C4C22×D6711yescharacteristic
1558C2×C22⋊C4—671no—
1559C2×C22⋊C4—671no—
1560C2×C22⋊C4—671no—
1561C2×C22⋊C4—671no—
1562C2×C22⋊C4—671no—
1563C2×C22⋊C4—671no—
1564C2×C22⋊C4—671no—
1565C2×C22⋊C4—671no—
1566C2×C22⋊C4—671no—
1567C2×C22⋊C4—671no—
1568C2×C22⋊C4—671no—
1569C2×C22⋊C4—671no—
1570C2×C22⋊C4—671no—
1571C2×C22⋊C4—671no—
1572C2×C22⋊C4—671no—
1573C2×C22⋊C4—671no—
1574C2×C22⋊C4—671no—
1575C2×C22⋊C4—671no—
1576C2×C22⋊C4—671no—
1577C2×C22⋊C4—671no—
1578C2×C22⋊C4—678no—
1579C2×C22⋊C4—671no—
1580C2×C22⋊C4—671no—
1581C2×C22⋊C4—671no—
1582C2×C22⋊C4—671no—
1583C2×C22⋊C4—671no—
1584C2×C22⋊C4—671no—
1585C2×C22⋊C4—671no—
1586C2×C22⋊C4—671no—
1587C2×C22⋊C4—671no—
1588C2×C22⋊C4—671no—
1589C2×C22⋊C4—671no—
1590C2×C22⋊C4—671no—
1591C2×C22⋊C4—671no—
1592C2×C22⋊C4—671no—
1593C2×C22⋊C4—671no—
1594C2×C22⋊C4—671no—
1595C2×C22⋊C4—678no—
1596C2×C22⋊C4—678no—
1597C2×C22⋊C4—678no—
1598C2×C22⋊C4—678no—
1599C2×C22⋊C4—678no—
1600C2×C22⋊C4—678no—
1601C2×C22⋊C4C22×D6711yescharacteristic
1602C2×C22⋊C4C22×D6711yescharacteristic
1603C2×C22⋊C4C22×D6711yescharacteristic
1604C2×C22⋊C4C22×D6711yescharacteristic
1605C2×C22⋊C4C22×D6711yescharacteristic
1606C2×C22⋊C4C22×D6711yescharacteristic
1607C2×C22⋊C4C22×D6711yescharacteristic
1608C2×C22⋊C4C22×D6711yescharacteristic
1609C2×C22⋊C4C22×D6711yescharacteristic
1610C2×C22⋊C4C22×D6711yescharacteristic
1611C2×C22⋊C4C22×D6711yescharacteristic
1612C2×C22⋊C4C22×D6711yescharacteristic
1613C2×C22⋊C4C22×D6711yescharacteristic
1614C2×C22⋊C4C22×D6711yescharacteristic
1615C2×C22⋊C4C22×D6718yescomplemented
1616C2×C22⋊C4C22×D6718yescomplemented
1617C2×C42—671no—
1618C2×C42—671no—
1619C2×C42—671no—
1620C2×C42C22×D6711yescharacteristic
1621C2×C42C22×D6711yescharacteristic
1622C2×C42C22×D6711yescharacteristic
1623C24—24no—
1624C24—42no—
1625C24—42no—
1626C24—2682no—
1627C24—2682no—
1628C24—2682no—
1629C24—2682no—
1630C24—2682no—
1631C24—2682no—
1632C24—2682no—
1633C24—2682no—
1634C24—2682no—
1635C24—2682no—
1636C24—2682no—
1637C24—674no—
1638C24—674no—
1639C24—674no—
1640C24—674no—
1641C24—674no—
1642C24—671no—
1643C24—671no—
1644C24—671no—
1645C24—671no—
1646C24—671no—
1647C24—671no—
1648C24—671no—
1649C24—1344no—
1650C24—1344no—
1651C24—1344no—
1652C24—1344no—
1653C24C23×D6711yescharacteristic
1654C24C23×D6711yescharacteristic
1655C24C23×D6711yescharacteristic
1656C24C23×D6711yescharacteristic
1657C24C23×D6714yes—
1658#41—26816no—
1659#41—26816no—
1660#41—26816no—
1661C2×Q8—42no—
1662C2×Q8—2682no—
1663C2×Q8—2682no—
1664C2×Q8—674no—
1665C2×Q8—674no—
1666C2×Q8C23×D6714yes—
1667C2×D4—24no—
1668C2×D4—42no—
1669C2×D4—42no—
1670C2×D4—2682no—
1671C2×D4—2682no—
1672C2×D4—2682no—
1673C2×D4—2682no—
1674C2×D4—2682no—
1675C2×D4—2682no—
1676C2×D4—2682no—
1677C2×D4—2682no—
1678C2×D4—2682no—
1679C2×D4—2682no—
1680C2×D4—2682no—
1681C2×D4—2682no—
1682C2×D4—26816no—
1683C2×D4—26816no—
1684C2×D4—26816no—
1685C2×D4—26816no—
1686C2×D4—26816no—
1687C2×D4—26816no—
1688C2×D4—26816no—
1689C2×D4—2682no—
1690C2×D4—2682no—
1691C2×D4—2682no—
1692C2×D4—2682no—
1693C2×D4—2682no—
1694C2×D4—2682no—
1695C2×D4—2682no—
1696C2×D4—26816no—
1697C2×D4—2682no—
1698C2×D4—2682no—
1699C2×D4—2682no—
1700C2×D4—2682no—
1701C2×D4—2682no—
1702C2×D4—2682no—
1703C2×D4—674no—
1704C2×D4—674no—
1705C2×D4—674no—
1706C2×D4—674no—
1707C2×D4—674no—
1708C2×D4—674no—
1709C2×D4—674no—
1710C2×D4—674no—
1711C2×D4—674no—
1712C2×D4—674no—
1713C2×D4—674no—
1714C2×D4—674no—
1715C2×D4—674no—
1716C2×D4—674no—
1717C2×D4—674no—
1718C2×D4—674no—
1719C2×D4—674no—
1720C2×D4—674no—
1721C2×D4—674no—
1722C2×D4—674no—
1723C2×D4—674no—
1724C2×D4—674no—
1725C2×D4—674no—
1726C2×D4—674no—
1727C2×D4—674no—
1728C2×D4—674no—
1729C2×D4—674no—
1730C2×D4—674no—
1731C2×D4—674no—
1732C2×D4—674no—
1733C2×D4—674no—
1734C2×D4—674no—
1735C2×D4—674no—
1736C2×D4—674no—
1737C2×D4—1344no—
1738C2×D4—1344no—
1739C2×D4—1344no—
1740C2×D4—1344no—
1741C2×D4—1344no—
1742C2×D4—1344no—
1743C2×D4—1344no—
1744C2×D4—1344no—
1745C2×D4—1344no—
1746C2×D4C23×D6714yes—
1747C2×D4C23×D6714yes—
1748C2×D4C23×D6714yes—
1749C22×C4—24no—
1750C22×C4—42no—
1751C22×C4—42no—
1752C22×C4—42no—
1753C22×C4—42no—
1754C22×C4—2682no—
1755C22×C4—2682no—
1756C22×C4—2682no—
1757C22×C4—2682no—
1758C22×C4—26816no—
1759C22×C4—2682no—
1760C22×C4—2682no—
1761C22×C4—2682no—
1762C22×C4—2682no—
1763C22×C4—2682no—
1764C22×C4—2682no—
1765C22×C4—2682no—
1766C22×C4—2682no—
1767C22×C4—2682no—
1768C22×C4—2682no—
1769C22×C4—2682no—
1770C22×C4—2682no—
1771C22×C4—674no—
1772C22×C4—674no—
1773C22×C4—674no—
1774C22×C4—674no—
1775C22×C4—674no—
1776C22×C4—674no—
1777C22×C4—674no—
1778C22×C4—674no—
1779C22×C4—674no—
1780C22×C4—674no—
1781C22×C4—674no—
1782C22×C4—674no—
1783C22×C4—674no—
1784C22×C4—674no—
1785C22×C4—674no—
1786C22×C4—674no—
1787C22×C4—674no—
1788C22×C4—671no—
1789C22×C4—671no—
1790C22×C4—671no—
1791C22×C4—671no—
1792C22×C4—671no—
1793C22×C4—671no—
1794C22×C4—671no—
1795C22×C4—671no—
1796C22×C4—671no—
1797C22×C4—674no—
1798C22×C4—1344no—
1799C22×C4—1344no—
1800C22×C4C23×D6714yes—
1801C22×C4C23×D6711yescharacteristic
1802C22×C4C23×D6711yescharacteristic
1803C22×C4C23×D6711yescharacteristic
1804C22×C4C23×D6711yescharacteristic
1805C22×C4C23×D6711yescharacteristic
1806C22×C4C23×D6711yescharacteristic
1807C22×C4C23×D6711yescharacteristic
1808C22×C4C23×D6711yescharacteristic
1809C22×C4C23×D6711yescharacteristic
1810C22×C4C23×D6711yescharacteristic
1811C22×C4C23×D6711yescharacteristic
1812C22×C4C23×D6714yes—
1813C22×C4C23×D6714yes—
1814C22×C4C23×D6714yes—
1815C22×C4C23×D6714yes—
1816C4⋊C4—674no—
1817C4⋊C4—674no—
1818C4⋊C4—674no—
1819C4⋊C4—674no—
1820C4⋊C4—674no—
1821C4⋊C4—674no—
1822C4⋊C4—674no—
1823C4⋊C4—674no—
1824C4⋊C4—674no—
1825C4⋊C4—674no—
1826C4⋊C4—674no—
1827C4⋊C4—674no—
1828C4⋊C4—674no—
1829C4⋊C4—674no—
1830C4⋊C4—674no—
1831C4⋊C4—674no—
1832C4⋊C4—674no—
1833C4⋊C4—674no—
1834C4⋊C4—674no—
1835C4⋊C4—674no—
1836C4⋊C4—674no—
1837C4⋊C4—674no—
1838C4⋊C4C23×D6714yes—
1839C4⋊C4C23×D6714yes—
1840C4⋊C4C23×D6714yes—
1841C4⋊C4C23×D6714yes—
1842C4⋊C4C23×D6714yes—
1843C4⋊C4C23×D6714yes—
1844C4⋊C4C23×D6714yes—
1845C4⋊C4C23×D6714yes—
1846C22⋊C4—674no—
1847C22⋊C4—674no—
1848C22⋊C4—674no—
1849C22⋊C4—674no—
1850C22⋊C4—674no—
1851C22⋊C4—674no—
1852C22⋊C4—674no—
1853C22⋊C4—674no—
1854C22⋊C4—674no—
1855C22⋊C4—674no—
1856C22⋊C4—674no—
1857C22⋊C4—674no—
1858C22⋊C4—674no—
1859C22⋊C4—674no—
1860C22⋊C4—674no—
1861C22⋊C4—674no—
1862C22⋊C4—674no—
1863C22⋊C4—674no—
1864C22⋊C4—674no—
1865C22⋊C4—674no—
1866C22⋊C4—674no—
1867C22⋊C4—674no—
1868C22⋊C4—674no—
1869C22⋊C4—674no—
1870C22⋊C4—674no—
1871C22⋊C4—674no—
1872C22⋊C4—674no—
1873C22⋊C4—674no—
1874C22⋊C4—674no—
1875C22⋊C4—674no—
1876C22⋊C4—674no—
1877C22⋊C4—674no—
1878C22⋊C4—674no—
1879C22⋊C4—674no—
1880C22⋊C4—674no—
1881C22⋊C4—674no—
1882C22⋊C4C23×D6714yes—
1883C22⋊C4C23×D6714yes—
1884C22⋊C4C23×D6714yes—
1885C22⋊C4C23×D6714yes—
1886C22⋊C4C23×D6714yes—
1887C22⋊C4C23×D6714yes—
1888C22⋊C4C23×D6714yes—
1889C22⋊C4C23×D6714yes—
1890C22⋊C4C23×D6714yes—
1891C22⋊C4C23×D6714yes—
1892C22⋊C4C23×D6714yes—
1893C22⋊C4C23×D6714yes—
1894C22⋊C4C23×D6714yes—
1895C22⋊C4C23×D6714yes—
1896C42—674no—
1897C42—674no—
1898C42—674no—
1899C42C23×D6714yes—
1900C42C23×D6714yes—
1901C42C23×D6714yes—
1902C23—22no—
1903C23—22no—
1904C23—22no—
1905C23—22no—
1906C23—22no—
1907C23—22no—
1908C23—22no—
1909C23—22no—
1910C23—22no—
1911C23—22no—
1912C23—22no—
1913C23—28no—
1914C23—44no—
1915C23—44no—
1916C23—88no—
1917C23—26816no—
1918C23—2684no—
1919C23—2684no—
1920C23—2684no—
1921C23—2684no—
1922C23—2684no—
1923C23—2684no—
1924C23—2684no—
1925C23—2684no—
1926C23—2684no—
1927C23—2684no—
1928C23—2684no—
1929C23—5368no—
1930C23—5368no—
1931C23—5368no—
1932C23—5368no—
1933C23—674no—
1934C23—672no—
1935C23—672no—
1936C23—672no—
1937C23—672no—
1938C23—672no—
1939C23—672no—
1940C23—672no—
1941C23—1348no—
1942C23—1348no—
1943C23—1342no—
1944C23—1342no—
1945C23—1342no—
1946C23—1342no—
1947C23—1342no—
1948C23—1342no—
1949C23—1348no—
1950C23—1342no—
1951C23—1342no—
1952C23—1342no—
1953C23—1342no—
1954C23—1342no—
1955C23—1342no—
1956C23—1342no—
1957C23—1342no—
1958C23—1342no—
1959C23—1342no—
1960C23—1342no—
1961C23—1342no—
1962C23—1348no—
1963C23—1342no—
1964C23—1342no—
1965C23#1452408914yes—
1966C23C24×D6712yes—
1967C23C24×D6712yes—
1968C23C24×D6712yes—
1969C23C24×D6712yes—
1970C23C24×D6711yescharacteristic
1971Q8—44no—
1972Q8—2684no—
1973Q8—2684no—
1974D4—28no—
1975D4—44no—
1976D4—44no—
1977D4—2684no—
1978D4—2684no—
1979D4—2684no—
1980D4—2684no—
1981D4—2684no—
1982D4—2684no—
1983D4—2684no—
1984D4—2684no—
1985D4—2684no—
1986D4—2684no—
1987D4—2684no—
1988D4—2684no—
1989D4—2684no—
1990D4—2684no—
1991D4—2684no—
1992D4—2684no—
1993D4—2684no—
1994D4—2684no—
1995D4—2684no—
1996D4—2684no—
1997D4—2684no—
1998D4—2684no—
1999D4—2684no—
2000D4—2684no—
2001D4—2684no—
2002D4—1348no—
2003D4—1348no—
2004D4—1348no—
2005D4—1348no—
2006D4—1348no—
2007D4—1348no—
2008D4—1348no—
2009D4—1348no—
2010D4—1348no—
2011C2×C4—22no—
2012C2×C4—22no—
2013C2×C4—22no—
2014C2×C4—22no—
2015C2×C4—22no—
2016C2×C4—22no—
2017C2×C4—22no—
2018C2×C4—28no—
2019C2×C4—22no—
2020C2×C4—22no—
2021C2×C4—22no—
2022C2×C4—22no—
2023C2×C4—44no—
2024C2×C4—44no—
2025C2×C4—44no—
2026C2×C4—44no—
2027C2×C4—2684no—
2028C2×C4—2684no—
2029C2×C4—2684no—
2030C2×C4—2684no—
2031C2×C4—2684no—
2032C2×C4—2684no—
2033C2×C4—2684no—
2034C2×C4—2684no—
2035C2×C4—2684no—
2036C2×C4—2684no—
2037C2×C4—2684no—
2038C2×C4—2684no—
2039C2×C4—2684no—
2040C2×C4—2684no—
2041C2×C4—2684no—
2042C2×C4—2684no—
2043C2×C4—672no—
2044C2×C4—672no—
2045C2×C4—672no—
2046C2×C4—672no—
2047C2×C4—672no—
2048C2×C4—672no—
2049C2×C4—672no—
2050C2×C4—672no—
2051C2×C4—672no—
2052C2×C4—1348no—
2053C2×C4—1342no—
2054C2×C4—1342no—
2055C2×C4—1342no—
2056C2×C4—1348no—
2057C2×C4—1342no—
2058C2×C4—1342no—
2059C2×C4—1342no—
2060C2×C4—1342no—
2061C2×C4—1342no—
2062C2×C4—1342no—
2063C2×C4C24×D6712yes—
2064C2×C4C24×D6712yes—
2065C2×C4C24×D6712yes—
2066C2×C4C24×D6712yes—
2067C2×C4C24×D6712yes—
2068C2×C4C24×D6712yes—
2069C2×C4C24×D6712yes—
2070C2×C4C24×D6712yes—
2071C2×C4C24×D6712yes—
2072C2×C4C24×D6712yes—
2073C2×C4C24×D6712yes—
2074C22—28no—
2075C22—22no—
2076C22—22no—
2077C22—22no—
2078C22—22no—
2079C22—22no—
2080C22—22no—
2081C22—22no—
2082C22—22no—
2083C22—22no—
2084C22—22no—
2085C22—22no—
2086C22—44no—
2087C22—44no—
2088C22—44no—
2089C22—88no—
2090C22—26816no—
2091C22—2684no—
2092C22—2684no—
2093C22—2684no—
2094C22—2684no—
2095C22—2684no—
2096C22—2684no—
2097C22—5368no—
2098C22—5368no—
2099C22—5368no—
2100C22—5368no—
2101C22—674no—
2102C22—1342no—
2103C22—1342no—
2104C22—1342no—
2105C22—1342no—
2106C22—1342no—
2107C22—1342no—
2108C22—1342no—
2109C22—1342no—
2110C22—1342no—
2111C22—1342no—
2112C22—1342no—
2113C22—1342no—
2114C22—1342no—
2115C22—1342no—
2116C22—1342no—
2117C22—1342no—
2118C22—1342no—
2119C22—1342no—
2120C22—1348no—
2121C22—1342no—
2122C22—1342no—
2123C22H(5,𝔽2)×D6712yes—
2124C22C2×#1452408914yes—
2125C22C2×#1452408912yes—
2126C22#1686423212yes—
2127C22C25×D6711yescharacteristic
2128C4—22no—
2129C4—22no—
2130C4—22no—
2131C4—22no—
2132C4—22no—
2133C4—22no—
2134C4—22no—
2135C4—22no—
2136C4—22no—
2137C4—22no—
2138C4—22no—
2139C4—1342no—
2140C4—1342no—
2141C4—1342no—
2142C4—1342no—
2143C4—1342no—
2144C4—1342no—
2145C4—1342no—
2146C4—1342no—
2147C4—1342no—
2148C2—24no—
2149C2—42no—
2150C2—42no—
2151C2—42no—
2152C2—2682no—
2153C2—2682no—
2154C2—2682no—
2155C2—2682no—
2156C2—2682no—
2157C2—2682no—
2158C2—1344no—
2159C2#2257440214yesdirect product factor
2160C2C2×H(5,𝔽2)×D6711yescharacteristic
2161C2C22×#1452408911yescharacteristic
2162C2C2×#1686423211yescharacteristic
subgroupG/H
centerC23C24×D67
commutator, cosocleC22×C67C26
FrattiniC22C25×D67
FittingC2×#551×C67C2
socleC23×C67C25
hypercenterC2×#551D67
hypocenterC67C2×#3534
LCSG ▷ C22×C67 ▷ C67
UCSC1 ◁ C23 ◁ C2×#551

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #22574402C2direct (N × H)
2. C2×#16864143C2semidirect
3. C2×#16864142C2semidirect
4. C2×#16864137C2semidirect
5. C2×#16864136C2semidirect
6. C2×#16864097C2semidirect
7. C2×#16864090C2semidirect
8. C2×#16864070C2semidirect
9. C2×#16864042C2semidirect
10. C2×#16864039C2semidirect
11. C2×#16864038C2semidirect
12. C2×#16864037C2semidirect
13. C2×#16864036C2semidirect
14. C2×#16864036C2semidirect
15. C2×D4×D268C2semidirect
16. C2×#16864028C2semidirect
17. C2×#16864001C2semidirect
18. C2×#16863997C2semidirect
19. C2×#16863995C2semidirect
20. C2×#16863988C2semidirect
21. C2×#16863987C2semidirect
22. C2×#16863985C2semidirect
23. C2×#16863982C2semidirect
24. C2×#16863980C2semidirect
25. C2×#16863976C2semidirect
26. C2×#16863958C2semidirect
27. C2×#16863957C2semidirect
28. C2×#16863956C2semidirect
29. C2×#16863908C2semidirect
30. C2×#123×D67C2semidirect
31. C22×#14524016C2semidirect
32. C2×#551×C67C2semidirect
33. C22×#11761629C22semidirect
34. C22×#11761628C22semidirect
35. C22×#11761628C22semidirect
36. C23×D268C22semidirect
37. C23×D268C22semidirect
38. C23×C22⋊D67C22semidirect
39. C23×C22⋊D67C22semidirect
40. C23×C22⋊D67C22semidirect
42. C22×D4×D67C22semidirect
43. C22×D4×D67C22semidirect
44. C23×C4×D67C22semidirect
45. #16864143C22semidirect
46. #16864142C22semidirect
47. #16864137C22semidirect
48. #16864136C22semidirect
49. #16864097C22semidirect
50. #16864090C22semidirect
51. #16864070C22semidirect
52. #16864042C22semidirect
53. #16864039C22semidirect
54. #16864038C22semidirect
55. #16864037C22semidirect
56. #16864036C22semidirect
57. #16864036C22semidirect
58. D4×D268C22semidirect
59. #16864028C22semidirect
60. #16864001C22semidirect
61. #16863997C22semidirect
62. #16863995C22semidirect
63. #16863988C22semidirect
64. #16863987C22semidirect
65. #16863985C22semidirect
66. #16863982C22semidirect
67. #16863980C22semidirect
68. #16863976C22semidirect
69. #16863958C22semidirect
70. #16863957C22semidirect
71. #16863956C22semidirect
72. C2×#14524040C22semidirect
73. C2×#14524039C22semidirect
74. C2×#14524038C22semidirect
75. C2×#14524038C22semidirect
76. C2×#14524038C22semidirect
77. C2×#14524037C22semidirect
78. C2×#14524037C22semidirect
79. C2×#14524036C22semidirect
80. C2×#14524035C22semidirect
81. C2×#14524034C22semidirect
82. C2×#14524034C22semidirect
83. C2×#14524033C22semidirect
84. C2×#14524032C22semidirect
85. C2×#14524031C22semidirect
86. C2×#14524029C22semidirect
87. C2×#14524029C22semidirect
88. C2×#14524029C22semidirect
89. #16863908C22semidirect
90. C2×#14524028C22semidirect
91. C2×#14524028C22semidirect
92. C2×#14524028C22semidirect
93. C2×#14524028C22semidirect
94. C2×#14524028C22semidirect
95. C2×#14524028C22semidirect
96. C2×#14524028C22semidirect
97. C2×#14524028C22semidirect
98. C2×#14524028C22semidirect
99. C2×#14524027C22semidirect
100. C2×#14524027C22semidirect
101. C2×#14524027C22semidirect
102. C2×#14524027C22semidirect
103. C2×#14524027C22semidirect
104. C2×#14524026C22semidirect
105. C2×#14524026C22semidirect
106. C2×#14524026C22semidirect
107. C2×#14524025C22semidirect
108. C2×#14524025C22semidirect
109. C2×#14524025C22semidirect
110. C2×#14524025C22semidirect
111. C2×#14524025C22semidirect
112. C2×#14524025C22semidirect
113. C2×#14524025C22semidirect
114. C2×#14524024C22semidirect
115. #123×D67C22semidirect
116. C2×#14524023C22semidirect
117. C2×#14524023C22semidirect
118. C2×#14524022C22semidirect
119. C2×#14524021C22semidirect
120. C2×#14524021C22semidirect
121. C2×#14524021C22semidirect
122. C2×#14524020C22semidirect
123. C2×#14524020C22semidirect
124. C2×#14524019C22semidirect
125. C2×#14524019C22semidirect
126. C2×#14524018C22semidirect
127. C2×#14524018C22semidirect
128. C2×#14524018C22semidirect
129. C2×#14524018C22semidirect
130. C2×#14524018C22semidirect
131. C2×#14524018C22semidirect
132. C2×#14524018C22semidirect
133. C2×#14524018C22semidirect
135. C2×#14524017C22semidirect
136. C2×#14524017C22semidirect
137. C2×#14524017C22semidirect
138. C2×#14524017C22semidirect
139. C2×#14524017C22semidirect
140. C2×#14524017C22semidirect
142. C2×#14524016C22semidirect
143. C2×#14524016C22semidirect
144. C2×#14524016C22semidirect
145. C2×#14524016C22semidirect
146. C2×#14524016C22semidirect
147. C2×#14524016C22semidirect
148. C2×#14524016C22semidirect
149. C2×#14524016C22semidirect
150. C2×#14524016C22semidirect
151. C2×#14524016C22semidirect
152. C2×#14524016C22semidirect
153. C2×#14524016C22semidirect
154. C2×#14524016C22semidirect
155. C2×#14524016C22semidirect
156. C2×#14524016C22semidirect
157. C2×#14524016C22semidirect
158. C2×#14524016C22semidirect
160. C2×#14524015C22semidirect
161. C2×#14524014C22semidirect
162. C2×#14524014C22semidirect
164. C2×#14524013C22semidirect
165. C2×#14524013C22semidirect
166. C2×#14524013C22semidirect
167. C2×#14524013C22semidirect
168. C2×#14524013C22semidirect
169. C2×#14524013C22semidirect
170. C2×#14524013C22semidirect
171. C2×#14524013C22semidirect
172. C2×#14524013C22semidirect
173. C2×#14524013C22semidirect
174. C2×#14524012C22semidirect
175. C2×#14524011C22semidirect
176. C2×#14524011C22semidirect
177. C2×#14524011C22semidirect
178. C2×C4×D268C22semidirect
179. C2×C4×D268C22semidirect
180. C2×C4×D268C22semidirect
181. C2×C4×D268C22semidirect
182. C2×C4×D268C22semidirect
183. C2×C4×D268C22semidirect
184. C2×#14524005C22semidirect
185. C2×#14524005C22semidirect
186. C2×C4×C22⋊D67C22semidirect
187. C2×C4×C22⋊D67C22semidirect
188. C2×(C22⋊D67)⋊C4C22semidirect
189. C2×(C22⋊D67)⋊C4C22semidirect
190. C2×(C22⋊D67)⋊C4C22semidirect
191. C2×(C22⋊D67)⋊C4C22semidirect
192. C2×#14524000C22semidirect
193. C22×Dic67⋊C4C22semidirect
194. C2×C4⋊C4×D67C22semidirect
195. C2×C4⋊C4×D67C22semidirect
196. C22×(C2×D67)⋊C4C22semidirect
197. C2×C22⋊C4×D67C22semidirect
198. C2×C22⋊C4×D67C22semidirect
199. C2×C22⋊C4×D67C22semidirect
200. C2×C22⋊C4×D67C22semidirect
201. C2×C22⋊C4×D67C22semidirect
202. C2×C22⋊C4×D67C22semidirect
203. #551×C67C22semidirect
204. C2×#126×C67C22semidirect
205. C2×#126×C67C22semidirect
206. C2×#124×C67C22semidirect
207. C2×#123×C67C22semidirect
208. C2×#123×C67C22semidirect
209. C2×#123×C67C22semidirect
210. C2×C22⋊Q8×C67C22semidirect
211. C2×C22⋊Q8×C67C22semidirect
213. C2×C4×D4×C67C22semidirect
214. C2×C4×D4×C67C22semidirect
215. C2×#117×C67C22semidirect
216. C2×#117×C67C22semidirect
217. C22×C22⋊C4×C67C22semidirect
218. C22×C22⋊C4×C67C22semidirect
225. C2×#11761629C23semidirect
228. C2×#11761628C23semidirect
229. C2×#11761628C23semidirect
250. C22×D268C23semidirect
251. C22×D268C23semidirect
273. C22×C22⋊D67C23semidirect
274. C22×C22⋊D67C23semidirect
275. C22×C22⋊D67C23semidirect
280. C2×D4×D67C23semidirect
281. C2×D4×D67C23semidirect
301. C22×C4×D67C23semidirect
302. #14524040C23semidirect
303. #14524039C23semidirect
304. #14524038C23semidirect
305. #14524038C23semidirect
306. #14524038C23semidirect
307. #14524037C23semidirect
308. #14524037C23semidirect
309. #14524036C23semidirect
310. #14524035C23semidirect
311. #14524034C23semidirect
312. #14524034C23semidirect
313. #14524033C23semidirect
314. #14524032C23semidirect
315. #14524031C23semidirect
316. #14524029C23semidirect
317. #14524029C23semidirect
318. #14524029C23semidirect
319. #14524028C23semidirect
320. #14524028C23semidirect
321. #14524028C23semidirect
322. #14524028C23semidirect
323. #14524028C23semidirect
324. #14524028C23semidirect
325. #14524028C23semidirect
326. #14524028C23semidirect
327. #14524028C23semidirect
328. #14524027C23semidirect
329. #14524027C23semidirect
330. #14524027C23semidirect
331. #14524027C23semidirect
332. #14524027C23semidirect
333. #14524026C23semidirect
334. #14524026C23semidirect
335. #14524026C23semidirect
336. #14524025C23semidirect
337. #14524025C23semidirect
338. #14524025C23semidirect
339. #14524025C23semidirect
340. #14524025C23semidirect
341. #14524025C23semidirect
342. #14524025C23semidirect
343. #14524024C23semidirect
344. #14524023C23semidirect
345. #14524023C23semidirect
346. #14524022C23semidirect
347. #14524021C23semidirect
348. #14524021C23semidirect
349. #14524021C23semidirect
350. #14524020C23semidirect
351. #14524020C23semidirect
352. #14524019C23semidirect
353. #14524019C23semidirect
354. #14524018C23semidirect
355. #14524018C23semidirect
356. #14524018C23semidirect
357. #14524018C23semidirect
358. #14524018C23semidirect
359. #14524018C23semidirect
360. #14524018C23semidirect
361. #14524018C23semidirect
363. #14524017C23semidirect
364. #14524017C23semidirect
365. #14524017C23semidirect
366. #14524017C23semidirect
367. #14524017C23semidirect
368. #14524017C23semidirect
370. #14524016C23semidirect
371. #14524016C23semidirect
372. #14524016C23semidirect
373. #14524016C23semidirect
374. #14524016C23semidirect
375. #14524016C23semidirect
376. #14524016C23semidirect
377. #14524016C23semidirect
378. #14524016C23semidirect
379. #14524016C23semidirect
380. #14524016C23semidirect
381. #14524016C23semidirect
382. #14524016C23semidirect
383. #14524016C23semidirect
384. #14524016C23semidirect
385. #14524016C23semidirect
387. #14524015C23semidirect
388. #14524014C23semidirect
389. #14524014C23semidirect
391. #14524013C23semidirect
392. #14524013C23semidirect
393. #14524013C23semidirect
394. #14524013C23semidirect
395. #14524013C23semidirect
396. #14524013C23semidirect
397. #14524013C23semidirect
398. #14524013C23semidirect
399. #14524013C23semidirect
400. #14524013C23semidirect
401. #14524012C23semidirect
402. #14524011C23semidirect
403. #14524011C23semidirect
404. #14524011C23semidirect
405. C4×D268C23semidirect
406. C4×D268C23semidirect
407. C4×D268C23semidirect
408. C4×D268C23semidirect
409. C4×D268C23semidirect
410. C4×D268C23semidirect
411. #14524005C23semidirect
412. #14524005C23semidirect
413. C4×C22⋊D67C23semidirect
414. C4×C22⋊D67C23semidirect
415. (C22⋊D67)⋊C4C23semidirect
416. (C22⋊D67)⋊C4C23semidirect
417. (C22⋊D67)⋊C4C23semidirect
418. (C22⋊D67)⋊C4C23semidirect
419. #14524000C23semidirect
442. C2×Dic67⋊C4C23semidirect
443. C4⋊C4×D67C23semidirect
444. C4⋊C4×D67C23semidirect
481. C2×(C2×D67)⋊C4C23semidirect
482. C22⋊C4×D67C23semidirect
483. C22⋊C4×D67C23semidirect
484. C22⋊C4×D67C23semidirect
485. C22⋊C4×D67C23semidirect
486. C22⋊C4×D67C23semidirect
487. C22⋊C4×D67C23semidirect
501. #126×C67C23semidirect
502. #126×C67C23semidirect
503. #124×C67C23semidirect
504. #123×C67C23semidirect
505. #123×C67C23semidirect
506. #123×C67C23semidirect
507. C22⋊Q8×C67C23semidirect
508. C22⋊Q8×C67C23semidirect
510. C4×D4×C67C23semidirect
511. C4×D4×C67C23semidirect
512. #117×C67C23semidirect
513. #117×C67C23semidirect
536. C2×C22⋊C4×C67C23semidirect
537. C2×C22⋊C4×C67C23semidirect
1071. C2×C67#3534semidirect
1090. C2×#551D67semidirect
1114. C67C2×#3534semidirect
1134. #551C2×D67semidirect
1163. C2×#126C2×D67semidirect
1164. C2×#126C2×D67semidirect
1174. C2×#124C2×D67semidirect
1202. C2×#123C2×D67semidirect
1203. C2×#123C2×D67semidirect
1204. C2×#123C2×D67semidirect
1215. C2×C22⋊Q8C2×D67semidirect
1216. C2×C22⋊Q8C2×D67semidirect
1284. C2×C4×D4C2×D67semidirect
1285. C2×C4×D4C2×D67semidirect
1287. C2×#117C2×D67semidirect
1288. C2×#117C2×D67semidirect
1299. C22×C22⋊C4C2×D67semidirect
1300. C22×C22⋊C4C2×D67semidirect
1402. #126C22×D67semidirect
1403. #126C22×D67semidirect
1413. #124C22×D67semidirect
1439. #123C22×D67semidirect
1440. #123C22×D67semidirect
1441. #123C22×D67semidirect
1452. C22⋊Q8C22×D67semidirect
1453. C22⋊Q8C22×D67semidirect
1520. C4×D4C22×D67semidirect
1521. C4×D4C22×D67semidirect
1523. #117C22×D67semidirect
1524. #117C22×D67semidirect
1615. C2×C22⋊C4C22×D67semidirect
1616. C2×C22⋊C4C22×D67semidirect
2159. C2#22574402direct (N × H)

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
#225744022
C2×#168641432
C2×#168641422
C2×#168641372
C2×#168641362
C2×#168640972
C2×#168640902
C2×#168640702
C2×#168640422
C2×#168640392
C2×#168640382
C2×#168640372
C2×#168640362
C2×D4×D2682
C2×#168640282
C2×#168640012
C2×#168639972
C2×#168639952
C2×#168639882
C2×#168639872
C2×#168639852
C2×#168639822
C2×#168639802
C2×#168639762
C2×#168639582
C2×#168639572
C2×#168639562
C2×#168639082
C2×#123×D672
C22×#145240162
C2×#551×C672
C2×#353467