Finite Group Databasebeta

← C2×#22574757 #31763249

Subgroups — C2×#22574757 #31763249

Order 17152.

7398 conjugacy classes of subgroups.

The subgroup lattice has 2032 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22574757C2132yesmaximal, direct product factor
2C2×#16864147C211yesmaximal, characteristic, complemented
3C2×#16864145C211yesmaximal, characteristic, complemented
4C2×#16864136C211yesmaximal, characteristic, complemented
5C2×#16864134C211yesmaximal, characteristic, complemented
6C2×#16864095C211yesmaximal, characteristic, complemented
7C2×#16864094C211yesmaximal, characteristic, complemented
8C2×#16864091C211yesmaximal, characteristic, complemented
9C2×#16864089C211yesmaximal, characteristic, complemented
10C2×#16864075C211yesmaximal, characteristic, complemented
11C2×#16864073C211yesmaximal, characteristic, complemented
12C2×#16864047C211yesmaximal, characteristic, complemented
13C2×#16864038C211yesmaximal, characteristic, complemented
14C2×#16864038C211yesmaximal, characteristic, complemented
15C2×#16864034C211yesmaximal, characteristic, complemented
16C2×#16864034C211yesmaximal, characteristic, complemented
17C2×#16864020C211yesmaximal, characteristic, complemented
18C2×#16864014C211yesmaximal, characteristic, complemented
19C2×#16863993C211yesmaximal, characteristic, complemented
20C2×#16863992C211yesmaximal, characteristic, complemented
21C2×#16863990C211yesmaximal, characteristic, complemented
22C2×#16863986C211yesmaximal, characteristic, complemented
23C2×#16863982C211yesmaximal, characteristic, complemented
24C2×#16863979C211yesmaximal, characteristic, complemented
25C2×#16863979C211yesmaximal, characteristic, complemented
26C2×#16863978C211yesmaximal, characteristic, complemented
27C2×#16863974C211yesmaximal, characteristic, complemented
28C2×#16863954C211yesmaximal, characteristic, complemented
29C2×#16863942C211yesmaximal, characteristic, complemented
30C2×#16863923C211yesmaximal, characteristic, complemented
31C22×#14524038C211yesmaximal, characteristic, complemented
32C2×#547×C67C211yesmaximal, characteristic, complemented
33C22×#11761628C2211yescharacteristic, complemented
34C22×#11761628C2211yescharacteristic, complemented
35C22×D4×D67C2211yescharacteristic
36C22×D4×D67C2211yescharacteristic
37#16864147C22116yescomplemented
38#16864145C22116yescomplemented
39#16864136C22116yescomplemented
40#16864134C22116yescomplemented
41#16864095C22116yescomplemented
42#16864094C22116yescomplemented
43#16864091C22116yescomplemented
44#16864089C22116yescomplemented
45#16864075C22116yescomplemented
46#16864073C22116yescomplemented
47#16864047C22116yescomplemented
48#16864038C22116yescomplemented
49#16864038C22116yescomplemented
50#16864034C22116yescomplemented
51#16864034C22116yescomplemented
52#16864020C22116yescomplemented
53#16864014C22116yescomplemented
54#16863993C22116yescomplemented
55#16863992C22116yescomplemented
56#16863990C22116yescomplemented
57#16863986C22116yescomplemented
58#16863982C22116yescomplemented
59#16863979C22116yescomplemented
60#16863979C22116yescomplemented
61#16863978C22116yescomplemented
62#16863974C22116yescomplemented
63#16863954C22116yescomplemented
64#16863942C22116yescomplemented
65C2×#14524042C2211yescharacteristic, complemented
66C2×#14524041C2211yescharacteristic, complemented
67C2×#14524039C2211yescharacteristic, complemented
68#16863923C22116yescomplemented
69C2×#14524038C2211yescharacteristic, complemented
70C2×#14524038C2211yescharacteristic, complemented
71C2×#14524038C2211yescharacteristic, complemented
72C2×#14524038C2211yescharacteristic, complemented
73C2×#14524038C2211yescharacteristic, complemented
74C2×#14524038C2211yescharacteristic, complemented
75C2×#14524038C2211yescharacteristic, complemented
76C2×#14524038C2211yescharacteristic, complemented
77C2×#14524038C2211yescharacteristic, complemented
78C2×#14524038C2211yescharacteristic, complemented
79C2×#14524038C2211yescharacteristic, complemented
80C2×#14524038C2211yescharacteristic, complemented
81C2×#14524038C22116yescomplemented
82C2×#14524037C2211yescharacteristic, complemented
83C2×#14524037C2211yescharacteristic, complemented
84C2×#14524036C2211yescharacteristic, complemented
85C2×#14524036C2211yescharacteristic, complemented
86C2×#14524036C2211yescharacteristic, complemented
87C2×#14524036C2211yescharacteristic, complemented
88C2×#14524034C2211yescharacteristic, complemented
89C2×#14524033C2211yescharacteristic, complemented
90C2×#14524033C2211yescharacteristic, complemented
91C2×#14524033C2211yescharacteristic, complemented
92C2×#14524033C2211yescharacteristic, complemented
93C2×#14524032C2211yescharacteristic
94C2×#14524032C2211yescharacteristic
95C2×#14524032C2211yescharacteristic, complemented
96C2×#14524031C2211yescharacteristic, complemented
97C2×#14524030C2211yescharacteristic, complemented
98C2×#14524029C2211yescharacteristic
99C2×#14524029C2211yescharacteristic
100C2×#14524029C2211yescharacteristic, complemented
101C2×#14524029C2211yescharacteristic, complemented
102C2×#14524028C2211yescharacteristic
103C2×#14524028C2211yescharacteristic
104C2×#14524028C2211yescharacteristic
105C2×#14524028C2211yescharacteristic
106C2×#14524028C2211yescharacteristic, complemented
107C2×#14524028C2211yescharacteristic, complemented
108C2×#14524028C2211yescharacteristic, complemented
109C2×#14524028C2211yescharacteristic, complemented
110C2×#14524027C2211yescharacteristic, complemented
111C2×#14524026C2211yescharacteristic
112C2×#14524026C2211yescharacteristic
113C2×#14524026C2211yescharacteristic, complemented
114C2×#14524026C2211yescharacteristic, complemented
115C2×#14524026C2211yescharacteristic, complemented
116C2×#14524026C2211yescharacteristic, complemented
117C2×#14524025C2211yescharacteristic
118C2×#14524025C2211yescharacteristic
119C2×#14524025C2211yescharacteristic, complemented
120C2×#14524025C2211yescharacteristic, complemented
121C2×#14524024C2211yescharacteristic, complemented
122C2×#14524023C2211yescharacteristic, complemented
123C2×#14524022C2211yescharacteristic, complemented
124C2×#14524022C2211yescharacteristic, complemented
125C2×#14524021C2211yescharacteristic, complemented
126C2×#14524021C2211yescharacteristic, complemented
127C2×#14524021C2211yescharacteristic, complemented
128C2×#14524021C2211yescharacteristic, complemented
129C2×#14524020C2211yescharacteristic, complemented
130C2×#14524020C2211yescharacteristic, complemented
131C2×#14524019C2211yescharacteristic, complemented
132C2×#14524019C2211yescharacteristic, complemented
133C2×#14524019C2211yescharacteristic, complemented
134C2×#14524019C2211yescharacteristic, complemented
135C2×#14524018C2211yescharacteristic
136C2×#14524018C2211yescharacteristic
137C2×#14524018C2211yescharacteristic, complemented
138C2×#14524017C2211yescharacteristic
139C2×#14524017C2211yescharacteristic
140C2×#14524017C2211yescharacteristic
141C2×#14524017C2211yescharacteristic, complemented
142C2×#14524017C2211yescharacteristic, complemented
143C2×#14524017C2211yescharacteristic, complemented
144C2×#14524016C2211yescharacteristic
145C2×#14524016C2211yescharacteristic
146C2×#14524016C2211yescharacteristic, complemented
147C2×#14524016C2211yescharacteristic, complemented
148C2×#14524015C2211yescharacteristic
149C2×#14524015C2211yescharacteristic
150C2×#14524015C2211yescharacteristic
151C2×#14524015C2211yescharacteristic
152C2×#14524015C2211yescharacteristic, complemented
153C2×#14524015C2211yescharacteristic, complemented
154C2×#14524015C2211yescharacteristic, complemented
155C2×#14524015C2211yescharacteristic, complemented
156C2×#14524015C2211yescharacteristic, complemented
157C2×#14524015C2211yescharacteristic, complemented
158C2×#14524014C2211yescharacteristic, complemented
159C2×#14524014C2211yescharacteristic, complemented
160C2×#14524013C2211yescharacteristic
161C2×#14524013C2211yescharacteristic
162C2×#14524013C2211yescharacteristic
163C2×#14524013C2211yescharacteristic, complemented
164C2×#14524013C2211yescharacteristic, complemented
165C2×#14524011C2211yescharacteristic
166C2×#14524011C2211yescharacteristic
167C2×#14524011C2211yescharacteristic
168C2×#14524011C2211yescharacteristic, complemented
169C2×#14524011C2211yescharacteristic, complemented
170C2×#14524008C2211yescharacteristic, complemented
171C2×D4×Dic67C2211yescharacteristic, complemented
172C2×D4×Dic67C2211yescharacteristic, complemented
173C2×#14524005C2211yescharacteristic, complemented
174C2×#14524005C2211yescharacteristic, complemented
175C2×#14524005C2211yescharacteristic, complemented
176C2×C4×C22⋊D67C2211yescharacteristic, complemented
177C2×C4×C22⋊D67C2211yescharacteristic, complemented
178C2×C4×C22⋊D67C2211yescharacteristic, complemented
179C2×C4×C22⋊D67C2211yescharacteristic, complemented
180C2×C4×C22⋊D67C2211yescharacteristic, complemented
181C2×C4×C22⋊D67C2211yescharacteristic, complemented
182C2×C4×C22⋊D67C2211yescharacteristic, complemented
183C2×C4×C22⋊D67C2211yescharacteristic, complemented
184C2×(C22⋊D67)⋊C4C2211yescharacteristic, complemented
185C2×(C22⋊D67)⋊C4C2211yescharacteristic, complemented
186C2×(C22⋊D67)⋊C4C2211yescharacteristic, complemented
187C2×(C22⋊D67)⋊C4C2211yescharacteristic, complemented
188C2×#14524001C2211yescharacteristic, complemented
189C2×#14524000C2211yescharacteristic, complemented
190C2×#14523999C2211yescharacteristic, complemented
191C2×#14523999C2211yescharacteristic, complemented
192C22×C4⋊Dic67C2211yescharacteristic, complemented
193C22×Dic67⋊C4C2211yescharacteristic, complemented
194C2×C4⋊C4×D67C2211yescharacteristic, complemented
195C22×(C2×D67)⋊C4C2211yescharacteristic
196C22×(C2×D67)⋊C4C2211yescharacteristic
197C22×(C2×D67)⋊C4C2211yescharacteristic
198C22×(C2×D67)⋊C4C2211yescharacteristic, complemented
199C22×(C2×D67)⋊C4C2211yescharacteristic, complemented
200C2×C22⋊C4×D67C2211yescharacteristic, complemented
201C2×C22⋊C4×D67C2211yescharacteristic, complemented
202C22×C4×Dic67C2211yescharacteristic, complemented
203C22×#41×C67C2211yescharacteristic, complemented
204C22×#41×C67C2211yescharacteristic, complemented
205#547×C67C22116yescomplemented
206C2×C4⋊Q8×C67C2211yescharacteristic, complemented
207C2×#123×C67C2211yescharacteristic, complemented
208C2×#123×C67C2211yescharacteristic, complemented
209C2×#123×C67C2211yescharacteristic, complemented
210C2×#123×C67C2211yescharacteristic, complemented
211C2×C22⋊Q8×C67C2211yescharacteristic, complemented
212C2×C22⋊Q8×C67C2211yescharacteristic, complemented
213C2×#121×C67C2211yescharacteristic
214C2×#121×C67C2211yescharacteristic, complemented
215C2×C4×D4×C67C2211yescharacteristic, complemented
216C2×C4×D4×C67C2211yescharacteristic, complemented
217C22×C4⋊C4×C67C2211yescharacteristic, complemented
218C22×C4⋊C4×C67C2211yescharacteristic, complemented
219C24×D67C2311yescharacteristic
220C24×D67C2311yescharacteristic
221C24×D67C2311yescharacteristic
222C2×#11761628—44no—
223C2×#11761628—44no—
224C2×#11761628C2318yescomplemented
225C2×#11761628C2318yescomplemented
226C22×Dic134C2311yescharacteristic
227C22×Dic134C2311yescharacteristic
228C22×Dic134C2311yescharacteristic
229C22×D268C2311yescharacteristic
230C22×D268C2311yescharacteristic
231C22×D268C2311yescharacteristic
232C22×D268C2311yescharacteristic
233C22×D268C2311yescharacteristic
234C22×D268C2311yescharacteristic
235C22×D268C2311yescharacteristic
236C22×C22⋊D67C2311yescharacteristic
237C22×C22⋊D67C2311yescharacteristic
238C22×C22⋊D67C2311yescharacteristic
239C22×C22⋊D67C2311yescharacteristic
240C22×C22⋊D67C2311yescharacteristic
241C22×C22⋊D67C2311yescharacteristic
242C22×C22⋊D67C2311yescharacteristic
243C22×C22⋊D67C2311yescharacteristic
244C22×C22⋊D67C2311yescharacteristic
245C22×C22⋊D67C2311yescharacteristic
246C22×C22⋊D67C2311yescharacteristic
247C22×C22⋊D67C2311yescharacteristic
248C22×C22⋊D67C2311yescharacteristic
249C22×C22⋊D67C2311yescharacteristic
250C2×D4×D67—44no—
251C2×D4×D67—44no—
252C2×D4×D67C2318yes—
253C2×D4×D67C2318yes—
254C23×Dic67C2311yescharacteristic
255C23×Dic67C2311yescharacteristic
256C23×Dic67C2311yescharacteristic
257C23×Dic67C2311yescharacteristic
258C23×Dic67C2311yescharacteristic
259C22×C4×D67C2311yescharacteristic
260C22×C4×D67C2311yescharacteristic
261C22×C4×D67C2311yescharacteristic
262C22×C4×D67C2311yescharacteristic
263C22×C4×D67C2311yescharacteristic
264C22×C4×D67C2311yescharacteristic
265C22×C4×D67C2311yescharacteristic
266C22×C4×D67C2311yescharacteristic
267C22×C4×D67C2311yescharacteristic
268#14524042C2318yescomplemented
269#14524041C2318yescomplemented
270#14524039C2318yescomplemented
271#14524038C2318yescomplemented
272#14524038C2318yescomplemented
273#14524038C2318yescomplemented
274#14524038C2318yescomplemented
275#14524038C2318yescomplemented
276#14524038C2318yescomplemented
277#14524038C2318yescomplemented
278#14524038C2318yescomplemented
279#14524038C2318yescomplemented
280#14524038C2318yescomplemented
281#14524038C2318yescomplemented
282#14524038C2318yescomplemented
283#14524037C2318yescomplemented
284#14524037C2318yescomplemented
285#14524036C2318yescomplemented
286#14524036C2318yescomplemented
287#14524036C2318yescomplemented
288#14524036C2318yescomplemented
289#14524034C2318yescomplemented
290#14524033C2318yescomplemented
291#14524033C2318yescomplemented
292#14524033C2318yescomplemented
293#14524033C2318yescomplemented
294#14524032C2318yes—
295#14524032C2318yes—
296#14524032C2318yescomplemented
297#14524031C2318yescomplemented
298#14524030C2318yescomplemented
299#14524029C2318yes—
300#14524029C2318yes—
301#14524029C2318yescomplemented
302#14524029C2318yescomplemented
303#14524028C2318yes—
304#14524028C2318yes—
305#14524028C2318yes—
306#14524028C2318yes—
307#14524028C2318yescomplemented
308#14524028C2318yescomplemented
309#14524028C2318yescomplemented
310#14524028C2318yescomplemented
311#14524027C2318yescomplemented
312#14524026C2318yes—
313#14524026C2318yes—
314#14524026C2318yescomplemented
315#14524026C2318yescomplemented
316#14524026C2318yescomplemented
317#14524026C2318yescomplemented
318#14524025C2318yes—
319#14524025C2318yes—
320#14524025C2318yescomplemented
321#14524025C2318yescomplemented
322#14524024C2318yescomplemented
323#14524023C2318yescomplemented
324#14524022C2318yescomplemented
325#14524022C2318yescomplemented
326#14524021C2318yescomplemented
327#14524021C2318yescomplemented
328#14524021C2318yescomplemented
329#14524021C2318yescomplemented
330#14524020C2318yescomplemented
331#14524020C2318yescomplemented
332#14524019C2318yescomplemented
333#14524019C2318yescomplemented
334#14524019C2318yescomplemented
335#14524019C2318yescomplemented
336#14524018C2318yes—
337#14524018C2318yes—
338#14524018C2318yescomplemented
339#14524017C2318yes—
340#14524017C2318yes—
341#14524017C2318yes—
342#14524017C2318yescomplemented
343#14524017C2318yescomplemented
344#14524017C2318yescomplemented
345#14524016C2318yes—
346#14524016C2318yes—
347#14524016C2318yescomplemented
348#14524016C2318yescomplemented
349#14524015C2318yes—
350#14524015C2318yes—
351#14524015C2318yes—
352#14524015C2318yes—
353#14524015C2318yescomplemented
354#14524015C2318yescomplemented
355#14524015C2318yescomplemented
356#14524015C2318yescomplemented
357#14524015C2318yescomplemented
358#14524015C2318yescomplemented
359#14524014C2318yescomplemented
360#14524014C2318yescomplemented
361#14524013C2318yes—
362#14524013C2318yes—
363#14524013C2318yes—
364#14524013C2318yescomplemented
365#14524013C2318yescomplemented
366#14524011C2318yes—
367#14524011C2318yes—
368#14524011C2318yes—
369#14524011C2318yescomplemented
370#14524011C2318yescomplemented
371#14524008C2318yescomplemented
372D4×Dic67C2318yescomplemented
373D4×Dic67C2318yescomplemented
374#14524005C2318yescomplemented
375#14524005C2318yescomplemented
376#14524005C2318yescomplemented
377C4×C22⋊D67C2318yescomplemented
378C4×C22⋊D67C2318yescomplemented
379C4×C22⋊D67C2318yescomplemented
380C4×C22⋊D67C2318yescomplemented
381C4×C22⋊D67C2318yescomplemented
382C4×C22⋊D67C2318yescomplemented
383C4×C22⋊D67C2318yescomplemented
384C4×C22⋊D67C2318yescomplemented
385(C22⋊D67)⋊C4C2318yescomplemented
386(C22⋊D67)⋊C4C2318yescomplemented
387(C22⋊D67)⋊C4C2318yescomplemented
388(C22⋊D67)⋊C4C2318yescomplemented
389#14524001C2318yescomplemented
390#14524000C2318yescomplemented
391#14523999C2318yescomplemented
392#14523999C2318yescomplemented
393C2×C4⋊Dic67C2311yescharacteristic
394C2×C4⋊Dic67C2311yescharacteristic
395C2×C4⋊Dic67C2311yescharacteristic
396C2×C4⋊Dic67C2311yescharacteristic
397C2×C4⋊Dic67C2311yescharacteristic
398C2×C4⋊Dic67C2311yescharacteristic
399C2×C4⋊Dic67C2311yescharacteristic
400C2×C4⋊Dic67C2311yescharacteristic
401C2×C4⋊Dic67C2318yescomplemented
402C2×Dic67⋊C4C2311yescharacteristic
403C2×Dic67⋊C4C2311yescharacteristic
404C2×Dic67⋊C4C2311yescharacteristic
405C2×Dic67⋊C4C2311yescharacteristic
406C2×Dic67⋊C4C2311yescharacteristic
407C2×Dic67⋊C4C2311yescharacteristic
408C2×Dic67⋊C4C2311yescharacteristic
409C2×Dic67⋊C4C2311yescharacteristic
410C2×Dic67⋊C4C2311yescharacteristic
411C2×Dic67⋊C4C2311yescharacteristic
412C2×Dic67⋊C4C2311yescharacteristic
413C2×Dic67⋊C4C2311yescharacteristic
414C2×Dic67⋊C4C2311yescharacteristic
415C2×Dic67⋊C4C2311yescharacteristic
416C2×Dic67⋊C4C2311yescharacteristic
417C2×Dic67⋊C4C2311yescharacteristic
418C2×Dic67⋊C4C2311yescharacteristic
419C2×Dic67⋊C4C2311yescharacteristic
420C2×Dic67⋊C4C2311yescharacteristic
421C2×Dic67⋊C4C2311yescharacteristic
422C2×Dic67⋊C4C2318yescomplemented
423C4⋊C4×D67C2318yescomplemented
424C2×C22⋊Dic67C2311yescharacteristic
425C2×C22⋊Dic67C2311yescharacteristic
426C2×C22⋊Dic67C2311yescharacteristic
427C2×C22⋊Dic67C2311yescharacteristic
428C2×C22⋊Dic67C2311yescharacteristic
429C2×C22⋊Dic67C2311yescharacteristic
430C2×C22⋊Dic67C2311yescharacteristic
431C2×C22⋊Dic67C2311yescharacteristic
432C2×C22⋊Dic67C2311yescharacteristic
433C2×C22⋊Dic67C2311yescharacteristic
434C2×(C2×D67)⋊C4C2318yes—
435C2×(C2×D67)⋊C4C2318yes—
436C2×(C2×D67)⋊C4C2311yescharacteristic
437C2×(C2×D67)⋊C4C2311yescharacteristic
438C2×(C2×D67)⋊C4C2311yescharacteristic
439C2×(C2×D67)⋊C4C2311yescharacteristic
440C2×(C2×D67)⋊C4C2311yescharacteristic
441C2×(C2×D67)⋊C4C2311yescharacteristic
442C2×(C2×D67)⋊C4C2311yescharacteristic
443C2×(C2×D67)⋊C4C2311yescharacteristic
444C2×(C2×D67)⋊C4C2311yescharacteristic
445C2×(C2×D67)⋊C4C2311yescharacteristic
446C2×(C2×D67)⋊C4C2311yescharacteristic
447C2×(C2×D67)⋊C4C2311yescharacteristic
448C2×(C2×D67)⋊C4C2311yescharacteristic
449C2×(C2×D67)⋊C4C2311yescharacteristic
450C2×(C2×D67)⋊C4C2318yes—
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)⋊C4C2318yescomplemented
470C2×(C2×D67)⋊C4C2318yescomplemented
471C22⋊C4×D67C2318yescomplemented
472C22⋊C4×D67C2318yescomplemented
473C2×C4×Dic67C2311yescharacteristic
474C2×C4×Dic67C2311yescharacteristic
475C2×C4×Dic67C2311yescharacteristic
476C2×C4×Dic67C2311yescharacteristic
477C2×C4×Dic67C2311yescharacteristic
478C2×C4×Dic67C2311yescharacteristic
479C2×C4×Dic67C2311yescharacteristic
480C2×C4×Dic67C2311yescharacteristic
481C2×C4×Dic67C2311yescharacteristic
482C2×C4×Dic67C2318yescomplemented
483C2×#41×C67—44no—
484C2×#41×C67—44no—
485C2×#41×C67C2318yescomplemented
486C2×#41×C67C2318yescomplemented
487C22×Q8×C67C2311yescharacteristic
488C22×Q8×C67C2311yescharacteristic
489C22×D4×C67C2311yescharacteristic
490C22×D4×C67C2311yescharacteristic
491C22×D4×C67C2311yescharacteristic
492C22×D4×C67C2311yescharacteristic
493C22×D4×C67C2311yescharacteristic
494C22×D4×C67C2311yescharacteristic
495C23×C4×C67C2311yescharacteristic
496C23×C4×C67C2311yescharacteristic
497C23×C4×C67C2311yescharacteristic
498C23×C4×C67C2311yescharacteristic
499C23×C4×C67C2311yescharacteristic
500C23×C4×C67C2311yescharacteristic
501C23×C4×C67C2311yescharacteristic
502C23×C4×C67C2311yescharacteristic
503C4⋊Q8×C67C2318yescomplemented
504#123×C67C2318yescomplemented
505#123×C67C2318yescomplemented
506#123×C67C2318yescomplemented
507#123×C67C2318yescomplemented
508C22⋊Q8×C67C2318yescomplemented
509C22⋊Q8×C67C2318yescomplemented
510#121×C67C2318yes—
511#121×C67C2318yescomplemented
512C4×D4×C67C2318yescomplemented
513C4×D4×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×C4⋊C4×C67C2311yescharacteristic
523C2×C4⋊C4×C67C2311yescharacteristic
524C2×C4⋊C4×C67C2318yescomplemented
525C2×C4⋊C4×C67C2318yescomplemented
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×C42×C67C2311yescharacteristic
535C23×D67—24no—
536C23×D67—42no—
537C23×D67—42no—
538C23×D67—42no—
539C23×D67—42no—
540C23×D67—42no—
541C23×D67—42no—
542C23×D67—42no—
543C23×D67—42no—
544C23×D67C2411yescharacteristic
545C23×D67C2411yescharacteristic
546C23×D67C2411yescharacteristic
547C23×D67C2411yescharacteristic
548C23×D67C2411yescharacteristic
549C23×D67C2414yes—
550C23×D67C2414yes—
551C23×D67C2414yes—
552#11761628—416no—
553#11761628—416no—
554C2×Dic134—42no—
555C2×Dic134—42no—
556C2×Dic134—42no—
557C2×Dic134C2414yes—
558C2×Dic134C2414yes—
559C2×Dic134C2414yes—
560C2×D268—42no—
561C2×D268—42no—
562C2×D268—42no—
563C2×D268—42no—
564C2×D268—42no—
565C2×D268—42no—
566C2×D268—42no—
567C2×D268C2414yes—
568C2×D268C2414yes—
569C2×D268C2414yes—
570C2×D268C2414yes—
571C2×D268C2414yes—
572C2×D268C2414yes—
573C2×D268C2414yes—
574C2×C22⋊D67—24no—
575C2×C22⋊D67—24no—
576C2×C22⋊D67—24no—
577C2×C22⋊D67—42no—
578C2×C22⋊D67—42no—
579C2×C22⋊D67—42no—
580C2×C22⋊D67—42no—
581C2×C22⋊D67—42no—
582C2×C22⋊D67—42no—
583C2×C22⋊D67—42no—
584C2×C22⋊D67—42no—
585C2×C22⋊D67—42no—
586C2×C22⋊D67—42no—
587C2×C22⋊D67—42no—
588C2×C22⋊D67C2414yes—
589C2×C22⋊D67C2414yes—
590C2×C22⋊D67C2414yes—
591C2×C22⋊D67C2414yes—
592C2×C22⋊D67C2414yes—
593C2×C22⋊D67C2414yes—
594C2×C22⋊D67C2414yes—
595C2×C22⋊D67C2414yes—
596C2×C22⋊D67C2414yes—
597C2×C22⋊D67C2414yes—
598C2×C22⋊D67C2414yes—
599C2×C22⋊D67C2414yes—
600C2×C22⋊D67C2414yes—
601C2×C22⋊D67C2414yes—
602D4×D67—416no—
603D4×D67—416no—
604C22×Dic67—42no—
605C22×Dic67—42no—
606C22×Dic67—42no—
607C22×Dic67—42no—
608C22×Dic67—42no—
609C22×Dic67C2411yescharacteristic
610C22×Dic67C2411yescharacteristic
611C22×Dic67C2411yescharacteristic
612C22×Dic67C2411yescharacteristic
613C22×Dic67C2411yescharacteristic
614C22×Dic67C2411yescharacteristic
615C22×Dic67C2411yescharacteristic
616C22×Dic67C2411yescharacteristic
617C22×Dic67C2411yescharacteristic
618C22×Dic67C2411yescharacteristic
619C22×Dic67C2411yescharacteristic
620C22×Dic67C2414yes—
621C22×Dic67C2414yes—
622C22×Dic67C2414yes—
623C22×Dic67C2414yes—
624C22×Dic67C2414yes—
625C2×C4×D67—42no—
626C2×C4×D67—42no—
627C2×C4×D67—42no—
628C2×C4×D67—42no—
629C2×C4×D67—42no—
630C2×C4×D67—42no—
631C2×C4×D67—42no—
632C2×C4×D67—42no—
633C2×C4×D67—42no—
634C2×C4×D67C2414yes—
635C2×C4×D67C2414yes—
636C2×C4×D67C2414yes—
637C2×C4×D67C2414yes—
638C2×C4×D67C2414yes—
639C2×C4×D67C2414yes—
640C2×C4×D67C2414yes—
641C2×C4×D67C2414yes—
642C2×C4×D67C2414yes—
643C4⋊Dic67C2414yes—
644C4⋊Dic67C2414yes—
645C4⋊Dic67C2414yes—
646C4⋊Dic67C2414yes—
647C4⋊Dic67C2414yes—
648C4⋊Dic67C2414yes—
649C4⋊Dic67C2414yes—
650C4⋊Dic67C2414yes—
651Dic67⋊C4C2414yes—
652Dic67⋊C4C2414yes—
653Dic67⋊C4C2414yes—
654Dic67⋊C4C2414yes—
655Dic67⋊C4C2414yes—
656Dic67⋊C4C2414yes—
657Dic67⋊C4C2414yes—
658Dic67⋊C4C2414yes—
659Dic67⋊C4C2414yes—
660Dic67⋊C4C2414yes—
661Dic67⋊C4C2414yes—
662Dic67⋊C4C2414yes—
663Dic67⋊C4C2414yes—
664Dic67⋊C4C2414yes—
665Dic67⋊C4C2414yes—
666Dic67⋊C4C2414yes—
667Dic67⋊C4C2414yes—
668Dic67⋊C4C2414yes—
669Dic67⋊C4C2414yes—
670Dic67⋊C4C2414yes—
671C22⋊Dic67C2414yes—
672C22⋊Dic67C2414yes—
673C22⋊Dic67C2414yes—
674C22⋊Dic67C2414yes—
675C22⋊Dic67C2414yes—
676C22⋊Dic67C2414yes—
677C22⋊Dic67C2414yes—
678C22⋊Dic67C2414yes—
679C22⋊Dic67C2414yes—
680C22⋊Dic67C2414yes—
681(C2×D67)⋊C4C2414yes—
682(C2×D67)⋊C4C2414yes—
683(C2×D67)⋊C4C2414yes—
684(C2×D67)⋊C4C2414yes—
685(C2×D67)⋊C4C2414yes—
686(C2×D67)⋊C4C2414yes—
687(C2×D67)⋊C4C2414yes—
688(C2×D67)⋊C4C2414yes—
689(C2×D67)⋊C4C2414yes—
690(C2×D67)⋊C4C2414yes—
691(C2×D67)⋊C4C2414yes—
692(C2×D67)⋊C4C2414yes—
693(C2×D67)⋊C4C2414yes—
694(C2×D67)⋊C4C2414yes—
695(C2×D67)⋊C4C2414yes—
696(C2×D67)⋊C4C2414yes—
697(C2×D67)⋊C4C2414yes—
698(C2×D67)⋊C4C2414yes—
699(C2×D67)⋊C4C2414yes—
700(C2×D67)⋊C4C2414yes—
701(C2×D67)⋊C4C2414yes—
702(C2×D67)⋊C4C2414yes—
703(C2×D67)⋊C4C2414yes—
704(C2×D67)⋊C4C2414yes—
705(C2×D67)⋊C4C2414yes—
706(C2×D67)⋊C4C2414yes—
707(C2×D67)⋊C4C2414yes—
708(C2×D67)⋊C4C2414yes—
709(C2×D67)⋊C4C2414yes—
710(C2×D67)⋊C4C2414yes—
711(C2×D67)⋊C4C2414yes—
712(C2×D67)⋊C4C2414yes—
713C4×Dic67C2414yes—
714C4×Dic67C2414yes—
715C4×Dic67C2414yes—
716C4×Dic67C2414yes—
717C4×Dic67C2414yes—
718C4×Dic67C2414yes—
719C4×Dic67C2414yes—
720C4×Dic67C2414yes—
721C4×Dic67C2414yes—
722C24×C67C2411yescharacteristic
723C24×C67C2411yescharacteristic
724C24×C67C2411yescharacteristic
725C24×C67C2411yescharacteristic
726#41×C67—416no—
727#41×C67—416no—
728C2×Q8×C67—42no—
729C2×Q8×C67—42no—
730C2×Q8×C67C2414yes—
731C2×Q8×C67C2414yes—
732C2×D4×C67—24no—
733C2×D4×C67—24no—
734C2×D4×C67—24no—
735C2×D4×C67—42no—
736C2×D4×C67—42no—
737C2×D4×C67—42no—
738C2×D4×C67C2414yes—
739C2×D4×C67C2414yes—
740C2×D4×C67C2414yes—
741C2×D4×C67C2414yes—
742C2×D4×C67C2414yes—
743C2×D4×C67C2414yes—
744C22×C4×C67—24no—
745C22×C4×C67—24no—
746C22×C4×C67—42no—
747C22×C4×C67—42no—
748C22×C4×C67—42no—
749C22×C4×C67—42no—
750C22×C4×C67—42no—
751C22×C4×C67—42no—
752C22×C4×C67C2411yescharacteristic
753C22×C4×C67C2411yescharacteristic
754C22×C4×C67C2411yescharacteristic
755C22×C4×C67C2411yescharacteristic
756C22×C4×C67C2411yescharacteristic
757C22×C4×C67C2411yescharacteristic
758C22×C4×C67C2411yescharacteristic
759C22×C4×C67C2411yescharacteristic
760C22×C4×C67C2411yescharacteristic
761C22×C4×C67C2411yescharacteristic
762C22×C4×C67C2411yescharacteristic
763C22×C4×C67C2414yes—
764C22×C4×C67C2414yes—
765C22×C4×C67C2414yes—
766C22×C4×C67C2414yes—
767C22×C4×C67C2414yes—
768C22×C4×C67C2414yes—
769C22×C4×C67C2414yes—
770C22×C4×C67C2414yes—
771C4⋊C4×C67C2414yes—
772C4⋊C4×C67C2414yes—
773C4⋊C4×C67C2414yes—
774C4⋊C4×C67C2414yes—
775C4⋊C4×C67C2414yes—
776C4⋊C4×C67C2414yes—
777C4⋊C4×C67C2414yes—
778C4⋊C4×C67C2414yes—
779C4⋊C4×C67C2414yes—
780C4⋊C4×C67C2414yes—
781C22⋊C4×C67C2414yes—
782C22⋊C4×C67C2414yes—
783C22⋊C4×C67C2414yes—
784C22⋊C4×C67C2414yes—
785C22⋊C4×C67C2414yes—
786C22⋊C4×C67C2414yes—
787C22⋊C4×C67C2414yes—
788C22⋊C4×C67C2414yes—
789C42×C67C2414yes—
790C23×C67—22no—
791C23×C67—22no—
792C23×C67—22no—
793C23×C67—22no—
794C23×C67—22no—
795C23×C67—22no—
796C23×C67—22no—
797C23×C67—22no—
798C23×C67—22no—
799C23×C67—22no—
800C23×C67—22no—
801C23×C67H(5,𝔽2)14yes—
802C23×C67C2512yes—
803C23×C67C2512yes—
804C23×C67C2512yes—
805C23×C67C2512yes—
806C23×C67C2511yescharacteristic
807C22×D67—22no—
808C22×D67—22no—
809C22×D67—22no—
810C22×D67—22no—
811C22×D67—22no—
812C22×D67—22no—
813C22×D67—22no—
814C22×D67—22no—
815C22×D67—22no—
816C22×D67—22no—
817C22×D67—22no—
818C22×D67—22no—
819C22×D67—22no—
820C22×D67—22no—
821C22×D67—22no—
822C22×D67—28no—
823C22×D67—44no—
824C22×D67—44no—
825C22×D67—44no—
826C22×D67—44no—
827C22×D67—44no—
828C22×D67—44no—
829C22×D67—44no—
830C22×D67—44no—
831C22×D67—88no—
832C22×D67—88no—
833C22×D67—88no—
834C22×D67C2512yes—
835C22×D67C2512yes—
836C22×D67C2512yes—
837C22×D67C2512yes—
838C22×D67C2512yes—
839Q8×C67—44no—
840Q8×C67—44no—
841D4×C67—28no—
842D4×C67—28no—
843D4×C67—28no—
844D4×C67—44no—
845D4×C67—44no—
846D4×C67—44no—
847C2×C4×C67—22no—
848C2×C4×C67—22no—
849C2×C4×C67—22no—
850C2×C4×C67—22no—
851C2×C4×C67—28no—
852C2×C4×C67—28no—
853C2×C4×C67—22no—
854C2×C4×C67—22no—
855C2×C4×C67—22no—
856C2×C4×C67—22no—
857C2×C4×C67—22no—
858C2×C4×C67—22no—
859C2×C4×C67—22no—
860C2×C4×C67—44no—
861C2×C4×C67—44no—
862C2×C4×C67—44no—
863C2×C4×C67—44no—
864C2×C4×C67—44no—
865C2×C4×C67—44no—
866C2×C4×C67C2512yes—
867C2×C4×C67C2512yes—
868C2×C4×C67C2512yes—
869C2×C4×C67C2512yes—
870C2×C4×C67C2512yes—
871C2×C4×C67C2512yes—
872C2×C4×C67C2512yes—
873C2×C4×C67C2512yes—
874C2×C4×C67C2512yes—
875C2×C4×C67C2512yes—
876C2×C4×C67C2512yes—
877C22⋊D67—28no—
878C22⋊D67—28no—
879C22⋊D67—28no—
880C22⋊D67—44no—
881C22⋊D67—44no—
882C22⋊D67—44no—
883C22⋊D67—44no—
884C22⋊D67—44no—
885C22⋊D67—44no—
886C22⋊D67—44no—
887C22⋊D67—44no—
888C22⋊D67—44no—
889C22⋊D67—44no—
890C22⋊D67—44no—
891C2×Dic67—22no—
892C2×Dic67—22no—
893C2×Dic67—22no—
894C2×Dic67—22no—
895C2×Dic67—22no—
896C2×Dic67—22no—
897C2×Dic67—22no—
898C2×Dic67—22no—
899C2×Dic67—22no—
900C2×Dic67—22no—
901C2×Dic67—22no—
902C2×Dic67—44no—
903C2×Dic67—44no—
904C2×Dic67—44no—
905C2×Dic67—44no—
906C2×Dic67—44no—
907C2×Dic67C2512yes—
908C2×Dic67C2512yes—
909C2×Dic67C2512yes—
910C2×Dic67C2512yes—
911C2×Dic67C2512yes—
912C2×Dic67C2512yes—
913C2×Dic67C2512yes—
914C2×Dic67C2512yes—
915C2×Dic67C2512yes—
916C2×Dic67C2512yes—
917C2×Dic67C2512yes—
918D268—44no—
919D268—44no—
920D268—44no—
921D268—44no—
922D268—44no—
923D268—44no—
924D268—44no—
925C4×D67—44no—
926C4×D67—44no—
927C4×D67—44no—
928C4×D67—44no—
929C4×D67—44no—
930C4×D67—44no—
931C4×D67—44no—
932C4×D67—44no—
933C4×D67—44no—
934Dic134—44no—
935Dic134—44no—
936Dic134—44no—
937C22×C67—22no—
938C22×C67—22no—
939C22×C67—28no—
940C22×C67—22no—
941C22×C67—22no—
942C22×C67—22no—
943C22×C67—22no—
944C22×C67—22no—
945C22×C67—22no—
946C22×C67—22no—
947C22×C67—22no—
948C22×C67—22no—
949C22×C67—44no—
950C22×C67—44no—
951C22×C67—44no—
952C22×C67C2×H(5,𝔽2)14yes—
953C22×C67C2×H(5,𝔽2)12yes—
954C22×C67#58512yes—
955C22×C67#58512yes—
956C22×C67C2611yescharacteristic
957C2×D67—22no—
958C2×D67—22no—
959C2×D67—22no—
960C2×D67—22no—
961C2×D67—22no—
962C2×D67—22no—
963C2×D67—22no—
964C2×D67—22no—
965C2×D67—22no—
966C2×D67—22no—
967C2×D67—22no—
968C2×D67—22no—
969C2×D67—22no—
970C2×D67—22no—
971C2×D67—22no—
972C2×D67—44no—
973C2×D67—44no—
974C2×D67—44no—
975C2×D67—44no—
976C2×D67—44no—
977C2×D67—88no—
978C2×D67—88no—
979C2×D67—88no—
980C4×C67—22no—
981C4×C67—22no—
982C4×C67—22no—
983C4×C67—22no—
984C4×C67—22no—
985C4×C67—22no—
986C4×C67—22no—
987C4×C67—22no—
988C4×C67—22no—
989C4×C67—22no—
990C4×C67—22no—
991Dic67—22no—
992Dic67—22no—
993Dic67—22no—
994Dic67—22no—
995Dic67—22no—
996Dic67—22no—
997Dic67—22no—
998Dic67—22no—
999Dic67—22no—
1000Dic67—22no—
1001Dic67—22no—
1002C2×#3560—671nomaximal, Sylow
1003C2×C67—24no—
1004C2×C67—42no—
1005C2×C67—42no—
1006C2×C67—42no—
1007C2×C67#356014yescomplemented
1008C2×C67C22×H(5,𝔽2)11yescharacteristic
1009C2×C67C2×#58511yescharacteristic
1010C2×C67C2×#58511yescharacteristic
1011D67—42no—
1012D67—42no—
1013D67—42no—
1014D67—42no—
1015D67—42no—
1016#3560—6732no—
1017C2×#563—671no—
1018C2×#563—671no—
1019C2×#560—671no—
1020C2×#560—671no—
1021C2×#553—671no—
1022C2×#553—671no—
1023C2×#553—671no—
1024C2×#553—671no—
1025C2×#551—671no—
1026C2×#551—671no—
1027C2×#547—671no—
1028C2×#547D6711yescharacteristic, complemented
1029C2×#546—671no—
1030C2×#546—671no—
1031C2×#546—671no—
1032C2×#546—671no—
1033C2×#542—671no—
1034C2×#542—671no—
1035C2×#539—671no—
1036C2×#539—671no—
1037C2×#539—671no—
1038C2×#538—671no—
1039C2×#538—671no—
1040C2×#538—671no—
1041C2×#538—671no—
1042C2×#538—671no—
1043C2×#537—671no—
1044C2×#534—671no—
1045C2×#532—671no—
1046C2×#529—671no—
1047C22×#126—671no—
1048C67C2×#356011yescharacteristic, complemented, Sylow
1049C22×#41—671no—
1050C22×#41—671no—
1051C22×#41C2×D6711yescharacteristic, complemented
1052C22×#41C2×D6711yescharacteristic, complemented
1053C23×D4—671no—
1054C23×D4—671no—
1055#563—6716no—
1056#563—6716no—
1057#560—6716no—
1058#560—6716no—
1059#553—6716no—
1060#553—6716no—
1061#553—6716no—
1062#553—6716no—
1063#551—6716no—
1064#551—6716no—
1065#547—6716no—
1066#547C2×D67116yescomplemented
1067#546—6716no—
1068#546—6716no—
1069#546—6716no—
1070#546—6716no—
1071#542—6716no—
1072#542—6716no—
1073#539—6716no—
1074#539—6716no—
1075#539—6716no—
1076#538—6716no—
1077#538—6716no—
1078#538—6716no—
1079#538—6716no—
1080#538—6716no—
1081#537—6716no—
1082#534—6716no—
1083#532—6716no—
1084C2×C4⋊Q8—671no—
1085C2×C4⋊Q8—671no—
1086C2×C4⋊Q8C2×D6711yescharacteristic, complemented
1087C2×#127—671no—
1088#529—6716no—
1089C2×#126—671no—
1090C2×#126—671no—
1091C2×#126—671no—
1092C2×#126—671no—
1093C2×#126—671no—
1094C2×#126—671no—
1095C2×#126—671no—
1096C2×#126—671no—
1097C2×#126—671no—
1098C2×#126—671no—
1099C2×#126—671no—
1100C2×#126—671no—
1101C2×#126—6716no—
1102C2×#126—671no—
1103C2×#126—671no—
1104C2×#126—671no—
1105C2×#126—671no—
1106C2×#126—671no—
1107C2×#126—671no—
1108C2×#125—671no—
1109C2×#125—671no—
1110C2×#125—671no—
1111C2×#125—671no—
1112C2×#125—671no—
1113C2×#124—671no—
1114C2×#124—671no—
1115C2×#124—671no—
1116C2×#124—671no—
1117C2×#124—671no—
1118C2×#124—671no—
1119C2×#124—671no—
1120C2×#124—671no—
1121C2×#124—671no—
1122C2×#123—671no—
1123C2×#123—671no—
1124C2×#123—671no—
1125C2×#123—671no—
1126C2×#123—671no—
1127C2×#123—671no—
1128C2×#123—671no—
1129C2×#123—671no—
1130C2×#123—671no—
1131C2×#123—671no—
1132C2×#123—671no—
1133C2×#123—671no—
1134C2×#123—671no—
1135C2×#123—671no—
1136C2×#123—671no—
1137C2×#123—671no—
1138C2×#123—671no—
1139C2×#123—671no—
1140C2×#123—671no—
1141C2×#123—671no—
1142C2×#123C2×D6711yescharacteristic, complemented
1143C2×#123C2×D6711yescharacteristic, complemented
1144C2×#123C2×D6711yescharacteristic, complemented
1145C2×#123C2×D6711yescharacteristic, complemented
1146C2×C22⋊Q8—671no—
1147C2×C22⋊Q8—671no—
1148C2×C22⋊Q8—671no—
1149C2×C22⋊Q8—671no—
1150C2×C22⋊Q8—671no—
1151C2×C22⋊Q8—671no—
1152C2×C22⋊Q8—671no—
1153C2×C22⋊Q8—671no—
1154C2×C22⋊Q8—671no—
1155C2×C22⋊Q8—671no—
1156C2×C22⋊Q8—671no—
1157C2×C22⋊Q8—671no—
1158C2×C22⋊Q8—671no—
1159C2×C22⋊Q8C2×D6711yescharacteristic, complemented
1160C2×C22⋊Q8C2×D6711yescharacteristic, complemented
1161C2×#121—671no—
1162C2×#121—671no—
1163C2×#121—671no—
1164C2×#121—671no—
1165C2×#121—671no—
1166C2×#121—671no—
1167C2×#121—671no—
1168C2×#121—671no—
1169C2×#121—671no—
1170C2×#121—671no—
1171C2×#121—671no—
1172C2×#121—671no—
1173C2×#121—671no—
1174C2×#121—671no—
1175C2×#121—671no—
1176C2×#121—671no—
1177C2×#121—671no—
1178C2×#121—671no—
1179C2×#121—671no—
1180C2×#121—671no—
1181C2×#121—671no—
1182C2×#121—671no—
1183C2×#121—671no—
1184C2×#121—671no—
1185C2×#121—671no—
1186C2×#121C2×D6711yescharacteristic
1187C2×#121C2×D6711yescharacteristic, complemented
1188C2×#120—671no—
1189C2×#120—671no—
1190C2×#120—671no—
1191C2×#120—671no—
1192C2×#120—671no—
1193C2×#120—671no—
1194C2×#120—671no—
1195C2×#120—671no—
1196C2×#120—671no—
1197C2×#120—671no—
1198C2×C4×Q8—671no—
1199C2×C4×D4—671no—
1200C2×C4×D4—671no—
1201C2×C4×D4—671no—
1202C2×C4×D4—671no—
1203C2×C4×D4—671no—
1204C2×C4×D4—671no—
1205C2×C4×D4—671no—
1206C2×C4×D4—671no—
1207C2×C4×D4—671no—
1208C2×C4×D4—671no—
1209C2×C4×D4—671no—
1210C2×C4×D4—671no—
1211C2×C4×D4—671no—
1212C2×C4×D4—671no—
1213C2×C4×D4—671no—
1214C2×C4×D4—671no—
1215C2×C4×D4—671no—
1216C2×C4×D4C2×D6711yescharacteristic, complemented
1217C2×C4×D4C2×D6711yescharacteristic, complemented
1218C2×#117—671no—
1219C2×#117—671no—
1220C2×#117—671no—
1221C2×#117—671no—
1222C22×C4⋊C4—671no—
1223C22×C4⋊C4—671no—
1224C22×C4⋊C4—671no—
1225C22×C4⋊C4C2×D6711yescharacteristic, complemented
1226C22×C4⋊C4C2×D6711yescharacteristic, complemented
1227C22×C22⋊C4—671no—
1228C22×C22⋊C4—671no—
1229C22×C22⋊C4—671no—
1230C22×C22⋊C4—671no—
1231C22×C22⋊C4—671no—
1232C22×C22⋊C4—671no—
1233C22×C22⋊C4—671no—
1234C22×C42—671no—
1235C25—671no—
1236C25—671no—
1237C25—671no—
1238C2×#41—44no—
1239C2×#41—44no—
1240C2×#41—2684no—
1241C2×#41—2684no—
1242C2×#41—678no—
1243C2×#41—678no—
1244C2×#41C22×D6718yescomplemented
1245C2×#41C22×D6718yescomplemented
1246C22×Q8—671no—
1247C22×Q8—671no—
1248C22×Q8—671no—
1249C22×Q8C22×D6711yescharacteristic
1250C22×Q8C22×D6711yescharacteristic
1251C22×D4—2684no—
1252C22×D4—2684no—
1253C22×D4—671no—
1254C22×D4—671no—
1255C22×D4—671no—
1256C22×D4—671no—
1257C22×D4—671no—
1258C22×D4—671no—
1259C22×D4—671no—
1260C22×D4—671no—
1261C22×D4—671no—
1262C22×D4—671no—
1263C22×D4—671no—
1264C22×D4—678no—
1265C22×D4—678no—
1266C22×D4—671no—
1267C22×D4—671no—
1268C22×D4—671no—
1269C22×D4—671no—
1270C22×D4—671no—
1271C22×D4—671no—
1272C22×D4—671no—
1273C22×D4—671no—
1274C22×D4—671no—
1275C22×D4—671no—
1276C22×D4C22×D6711yescharacteristic
1277C22×D4C22×D6711yescharacteristic
1278C22×D4C22×D6711yescharacteristic
1279C22×D4C22×D6711yescharacteristic
1280C22×D4C22×D6711yescharacteristic
1281C22×D4C22×D6711yescharacteristic
1282C23×C4—671no—
1283C23×C4—671no—
1284C23×C4—671no—
1285C23×C4—671no—
1286C23×C4—671no—
1287C23×C4—671no—
1288C23×C4—671no—
1289C23×C4—671no—
1290C23×C4—671no—
1291C23×C4—671no—
1292C23×C4—671no—
1293C23×C4—671no—
1294C23×C4—671no—
1295C23×C4—671no—
1296C23×C4C22×D6711yescharacteristic
1297C23×C4C22×D6711yescharacteristic
1298C23×C4C22×D6711yescharacteristic
1299C23×C4C22×D6711yescharacteristic
1300C23×C4C22×D6711yescharacteristic
1301C23×C4C22×D6711yescharacteristic
1302C23×C4C22×D6711yescharacteristic
1303C23×C4C22×D6711yescharacteristic
1304C4⋊Q8—678no—
1305C4⋊Q8—678no—
1306C4⋊Q8C22×D6718yescomplemented
1307#127—678no—
1308#126—678no—
1309#126—678no—
1310#126—678no—
1311#126—678no—
1312#126—678no—
1313#126—678no—
1314#126—678no—
1315#126—678no—
1316#126—678no—
1317#126—678no—
1318#126—678no—
1319#126—678no—
1320#126—678no—
1321#126—678no—
1322#126—678no—
1323#126—678no—
1324#126—678no—
1325#126—678no—
1326#125—678no—
1327#125—678no—
1328#125—678no—
1329#125—678no—
1330#125—678no—
1331#124—678no—
1332#124—678no—
1333#124—678no—
1334#124—678no—
1335#124—678no—
1336#124—678no—
1337#124—678no—
1338#124—678no—
1339#124—678no—
1340#123—678no—
1341#123—678no—
1342#123—678no—
1343#123—678no—
1344#123—678no—
1345#123—678no—
1346#123—678no—
1347#123—678no—
1348#123—678no—
1349#123—678no—
1350#123—678no—
1351#123—678no—
1352#123—678no—
1353#123—678no—
1354#123—678no—
1355#123—678no—
1356#123—678no—
1357#123—678no—
1358#123—678no—
1359#123—678no—
1360#123C22×D6718yescomplemented
1361#123C22×D6718yescomplemented
1362#123C22×D6718yescomplemented
1363#123C22×D6718yescomplemented
1364C22⋊Q8—678no—
1365C22⋊Q8—678no—
1366C22⋊Q8—678no—
1367C22⋊Q8—678no—
1368C22⋊Q8—678no—
1369C22⋊Q8—678no—
1370C22⋊Q8—678no—
1371C22⋊Q8—678no—
1372C22⋊Q8—678no—
1373C22⋊Q8—678no—
1374C22⋊Q8—678no—
1375C22⋊Q8—678no—
1376C22⋊Q8—678no—
1377C22⋊Q8C22×D6718yescomplemented
1378C22⋊Q8C22×D6718yescomplemented
1379#121—678no—
1380#121—678no—
1381#121—678no—
1382#121—678no—
1383#121—678no—
1384#121—678no—
1385#121—678no—
1386#121—678no—
1387#121—678no—
1388#121—678no—
1389#121—678no—
1390#121—678no—
1391#121—678no—
1392#121—678no—
1393#121—678no—
1394#121—678no—
1395#121—678no—
1396#121—678no—
1397#121—678no—
1398#121—678no—
1399#121—678no—
1400#121—678no—
1401#121—678no—
1402#121—678no—
1403#121—678no—
1404#121C22×D6718yes—
1405#121C22×D6718yescomplemented
1406#120—678no—
1407#120—678no—
1408#120—678no—
1409#120—678no—
1410#120—678no—
1411#120—678no—
1412#120—678no—
1413#120—678no—
1414#120—678no—
1415#120—678no—
1416C4×Q8—678no—
1417C4×D4—678no—
1418C4×D4—678no—
1419C4×D4—678no—
1420C4×D4—678no—
1421C4×D4—678no—
1422C4×D4—678no—
1423C4×D4—678no—
1424C4×D4—678no—
1425C4×D4—678no—
1426C4×D4—678no—
1427C4×D4—678no—
1428C4×D4—678no—
1429C4×D4—678no—
1430C4×D4—678no—
1431C4×D4—678no—
1432C4×D4—678no—
1433C4×D4—678no—
1434C4×D4C22×D6718yescomplemented
1435C4×D4C22×D6718yescomplemented
1436#117—678no—
1437#117—678no—
1438#117—678no—
1439#117—678no—
1440C2×C4⋊C4—671no—
1441C2×C4⋊C4—671no—
1442C2×C4⋊C4—671no—
1443C2×C4⋊C4—671no—
1444C2×C4⋊C4—671no—
1445C2×C4⋊C4—671no—
1446C2×C4⋊C4—671no—
1447C2×C4⋊C4—671no—
1448C2×C4⋊C4—671no—
1449C2×C4⋊C4—671no—
1450C2×C4⋊C4—671no—
1451C2×C4⋊C4—678no—
1452C2×C4⋊C4—678no—
1453C2×C4⋊C4—671no—
1454C2×C4⋊C4—671no—
1455C2×C4⋊C4—671no—
1456C2×C4⋊C4—671no—
1457C2×C4⋊C4—671no—
1458C2×C4⋊C4—671no—
1459C2×C4⋊C4—671no—
1460C2×C4⋊C4—671no—
1461C2×C4⋊C4—671no—
1462C2×C4⋊C4—671no—
1463C2×C4⋊C4—671no—
1464C2×C4⋊C4—671no—
1465C2×C4⋊C4—671no—
1466C2×C4⋊C4—671no—
1467C2×C4⋊C4—671no—
1468C2×C4⋊C4—671no—
1469C2×C4⋊C4—671no—
1470C2×C4⋊C4—678no—
1471C2×C4⋊C4C22×D6711yescharacteristic
1472C2×C4⋊C4C22×D6711yescharacteristic
1473C2×C4⋊C4C22×D6711yescharacteristic
1474C2×C4⋊C4C22×D6711yescharacteristic
1475C2×C4⋊C4C22×D6711yescharacteristic
1476C2×C4⋊C4C22×D6711yescharacteristic
1477C2×C4⋊C4C22×D6711yescharacteristic
1478C2×C4⋊C4C22×D6711yescharacteristic
1479C2×C4⋊C4C22×D6711yescharacteristic
1480C2×C4⋊C4C22×D6711yescharacteristic
1481C2×C4⋊C4C22×D6718yescomplemented
1482C2×C4⋊C4C22×D6718yescomplemented
1483C2×C22⋊C4—671no—
1484C2×C22⋊C4—671no—
1485C2×C22⋊C4—671no—
1486C2×C22⋊C4—671no—
1487C2×C22⋊C4—671no—
1488C2×C22⋊C4—671no—
1489C2×C22⋊C4—671no—
1490C2×C22⋊C4—671no—
1491C2×C22⋊C4—671no—
1492C2×C22⋊C4—671no—
1493C2×C22⋊C4—671no—
1494C2×C22⋊C4—671no—
1495C2×C22⋊C4—671no—
1496C2×C22⋊C4—671no—
1497C2×C22⋊C4—671no—
1498C2×C22⋊C4—671no—
1499C2×C22⋊C4—671no—
1500C2×C22⋊C4—671no—
1501C2×C22⋊C4—671no—
1502C2×C22⋊C4—671no—
1503C2×C22⋊C4—671no—
1504C2×C22⋊C4—671no—
1505C2×C22⋊C4—671no—
1506C2×C22⋊C4—671no—
1507C2×C22⋊C4—671no—
1508C2×C22⋊C4—671no—
1509C2×C22⋊C4—671no—
1510C2×C22⋊C4—671no—
1511C2×C22⋊C4—671no—
1512C2×C22⋊C4—671no—
1513C2×C22⋊C4—678no—
1514C2×C22⋊C4—678no—
1515C2×C22⋊C4—678no—
1516C2×C22⋊C4—678no—
1517C2×C22⋊C4—678no—
1518C2×C22⋊C4—671no—
1519C2×C22⋊C4—671no—
1520C2×C22⋊C4—671no—
1521C2×C22⋊C4—671no—
1522C2×C22⋊C4—671no—
1523C2×C22⋊C4—671no—
1524C2×C22⋊C4—671no—
1525C2×C22⋊C4—671no—
1526C2×C22⋊C4—671no—
1527C2×C22⋊C4—671no—
1528C2×C22⋊C4—671no—
1529C2×C22⋊C4—671no—
1530C2×C22⋊C4—678no—
1531C2×C22⋊C4—678no—
1532C2×C22⋊C4C22×D6711yescharacteristic
1533C2×C22⋊C4C22×D6711yescharacteristic
1534C2×C22⋊C4C22×D6711yescharacteristic
1535C2×C22⋊C4C22×D6711yescharacteristic
1536C2×C22⋊C4C22×D6711yescharacteristic
1537C2×C22⋊C4C22×D6711yescharacteristic
1538C2×C22⋊C4C22×D6711yescharacteristic
1539C2×C22⋊C4C22×D6711yescharacteristic
1540C2×C42—671no—
1541C2×C42—671no—
1542C2×C42—671no—
1543C2×C42—671no—
1544C2×C42—671no—
1545C2×C42—671no—
1546C2×C42—671no—
1547C2×C42—671no—
1548C2×C42—671no—
1549C2×C42—678no—
1550C2×C42C22×D6711yescharacteristic
1551C24—2682no—
1552C24—2682no—
1553C24—2682no—
1554C24—2682no—
1555C24—2682no—
1556C24—2682no—
1557C24—2682no—
1558C24—2682no—
1559C24—674no—
1560C24—674no—
1561C24—674no—
1562C24—671no—
1563C24—671no—
1564C24—671no—
1565C24—671no—
1566C24—671no—
1567C24—1344no—
1568C24C23×D6711yescharacteristic
1569C24C23×D6711yescharacteristic
1570C24C23×D6711yescharacteristic
1571C24C23×D6711yescharacteristic
1572#41—416no—
1573#41—416no—
1574#41—26816no—
1575#41—26816no—
1576C2×Q8—42no—
1577C2×Q8—42no—
1578C2×Q8—2682no—
1579C2×Q8—2682no—
1580C2×Q8—2682no—
1581C2×Q8—674no—
1582C2×Q8—674no—
1583C2×Q8—674no—
1584C2×Q8C23×D6714yes—
1585C2×Q8C23×D6714yes—
1586C2×D4—24no—
1587C2×D4—24no—
1588C2×D4—24no—
1589C2×D4—42no—
1590C2×D4—42no—
1591C2×D4—42no—
1592C2×D4—2682no—
1593C2×D4—2682no—
1594C2×D4—2682no—
1595C2×D4—2682no—
1596C2×D4—2682no—
1597C2×D4—2682no—
1598C2×D4—2682no—
1599C2×D4—26816no—
1600C2×D4—26816no—
1601C2×D4—2682no—
1602C2×D4—2682no—
1603C2×D4—2682no—
1604C2×D4—2682no—
1605C2×D4—2682no—
1606C2×D4—2682no—
1607C2×D4—2682no—
1608C2×D4—2682no—
1609C2×D4—2682no—
1610C2×D4—2682no—
1611C2×D4—2682no—
1612C2×D4—674no—
1613C2×D4—674no—
1614C2×D4—674no—
1615C2×D4—674no—
1616C2×D4—674no—
1617C2×D4—674no—
1618C2×D4—674no—
1619C2×D4—674no—
1620C2×D4—674no—
1621C2×D4—674no—
1622C2×D4—674no—
1623C2×D4—674no—
1624C2×D4—674no—
1625C2×D4—674no—
1626C2×D4—674no—
1627C2×D4—674no—
1628C2×D4—674no—
1629C2×D4—674no—
1630C2×D4—674no—
1631C2×D4—674no—
1632C2×D4—674no—
1633C2×D4—1344no—
1634C2×D4—1344no—
1635C2×D4—1344no—
1636C2×D4C23×D6714yes—
1637C2×D4C23×D6714yes—
1638C2×D4C23×D6714yes—
1639C2×D4C23×D6714yes—
1640C2×D4C23×D6714yes—
1641C2×D4C23×D6714yes—
1642C22×C4—24no—
1643C22×C4—24no—
1644C22×C4—42no—
1645C22×C4—42no—
1646C22×C4—42no—
1647C22×C4—42no—
1648C22×C4—42no—
1649C22×C4—42no—
1650C22×C4—2682no—
1651C22×C4—2682no—
1652C22×C4—2682no—
1653C22×C4—2682no—
1654C22×C4—2682no—
1655C22×C4—2682no—
1656C22×C4—2682no—
1657C22×C4—2682no—
1658C22×C4—2682no—
1659C22×C4—2682no—
1660C22×C4—2682no—
1661C22×C4—2682no—
1662C22×C4—2682no—
1663C22×C4—2682no—
1664C22×C4—674no—
1665C22×C4—674no—
1666C22×C4—674no—
1667C22×C4—674no—
1668C22×C4—674no—
1669C22×C4—674no—
1670C22×C4—674no—
1671C22×C4—674no—
1672C22×C4—674no—
1673C22×C4—674no—
1674C22×C4—674no—
1675C22×C4—674no—
1676C22×C4—674no—
1677C22×C4—674no—
1678C22×C4—671no—
1679C22×C4—671no—
1680C22×C4—671no—
1681C22×C4—671no—
1682C22×C4—671no—
1683C22×C4—671no—
1684C22×C4—671no—
1685C22×C4—671no—
1686C22×C4—671no—
1687C22×C4—671no—
1688C22×C4—671no—
1689C22×C4C23×D6714yes—
1690C22×C4C23×D6714yes—
1691C22×C4C23×D6711yescharacteristic
1692C22×C4C23×D6711yescharacteristic
1693C22×C4C23×D6711yescharacteristic
1694C22×C4C23×D6711yescharacteristic
1695C22×C4C23×D6711yescharacteristic
1696C22×C4C23×D6711yescharacteristic
1697C22×C4C23×D6711yescharacteristic
1698C22×C4C23×D6711yescharacteristic
1699C22×C4C23×D6711yescharacteristic
1700C22×C4C23×D6711yescharacteristic
1701C22×C4C23×D6711yescharacteristic
1702C22×C4C23×D6714yes—
1703C22×C4C23×D6714yes—
1704C22×C4C23×D6714yes—
1705C22×C4C23×D6714yes—
1706C22×C4C23×D6714yes—
1707C22×C4C23×D6714yes—
1708C4⋊C4—674no—
1709C4⋊C4—674no—
1710C4⋊C4—674no—
1711C4⋊C4—674no—
1712C4⋊C4—674no—
1713C4⋊C4—674no—
1714C4⋊C4—674no—
1715C4⋊C4—674no—
1716C4⋊C4—674no—
1717C4⋊C4—674no—
1718C4⋊C4—674no—
1719C4⋊C4—674no—
1720C4⋊C4—674no—
1721C4⋊C4—674no—
1722C4⋊C4—674no—
1723C4⋊C4—674no—
1724C4⋊C4—674no—
1725C4⋊C4—674no—
1726C4⋊C4—674no—
1727C4⋊C4—674no—
1728C4⋊C4—674no—
1729C4⋊C4—674no—
1730C4⋊C4—674no—
1731C4⋊C4—674no—
1732C4⋊C4—674no—
1733C4⋊C4—674no—
1734C4⋊C4—674no—
1735C4⋊C4—674no—
1736C4⋊C4C23×D6714yes—
1737C4⋊C4C23×D6714yes—
1738C4⋊C4C23×D6714yes—
1739C4⋊C4C23×D6714yes—
1740C4⋊C4C23×D6714yes—
1741C4⋊C4C23×D6714yes—
1742C4⋊C4C23×D6714yes—
1743C4⋊C4C23×D6714yes—
1744C4⋊C4C23×D6714yes—
1745C4⋊C4C23×D6714yes—
1746C22⋊C4—674no—
1747C22⋊C4—674no—
1748C22⋊C4—674no—
1749C22⋊C4—674no—
1750C22⋊C4—674no—
1751C22⋊C4—674no—
1752C22⋊C4—674no—
1753C22⋊C4—674no—
1754C22⋊C4—674no—
1755C22⋊C4—674no—
1756C22⋊C4—674no—
1757C22⋊C4—674no—
1758C22⋊C4—674no—
1759C22⋊C4—674no—
1760C22⋊C4—674no—
1761C22⋊C4—674no—
1762C22⋊C4—674no—
1763C22⋊C4—674no—
1764C22⋊C4—674no—
1765C22⋊C4—674no—
1766C22⋊C4—674no—
1767C22⋊C4—674no—
1768C22⋊C4—674no—
1769C22⋊C4—674no—
1770C22⋊C4—674no—
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⋊C4C23×D6714yes—
1789C22⋊C4C23×D6714yes—
1790C22⋊C4C23×D6714yes—
1791C22⋊C4C23×D6714yes—
1792C22⋊C4C23×D6714yes—
1793C22⋊C4C23×D6714yes—
1794C22⋊C4C23×D6714yes—
1795C22⋊C4C23×D6714yes—
1796C42—674no—
1797C42—674no—
1798C42—674no—
1799C42—674no—
1800C42—674no—
1801C42—674no—
1802C42—674no—
1803C42—674no—
1804C42—674no—
1805C42C23×D6714yes—
1806C23—22no—
1807C23—22no—
1808C23—22no—
1809C23—22no—
1810C23—22no—
1811C23—22no—
1812C23—22no—
1813C23—22no—
1814C23—22no—
1815C23—22no—
1816C23—22no—
1817C23—2684no—
1818C23—2684no—
1819C23—2684no—
1820C23—2684no—
1821C23—2684no—
1822C23—2684no—
1823C23—2684no—
1824C23—2684no—
1825C23—5368no—
1826C23—5368no—
1827C23—5368no—
1828C23—672no—
1829C23—672no—
1830C23—672no—
1831C23—672no—
1832C23—672no—
1833C23—1342no—
1834C23—1342no—
1835C23—1342no—
1836C23—1342no—
1837C23—1342no—
1838C23—1342no—
1839C23—1342no—
1840C23—1342no—
1841C23—1342no—
1842C23—1342no—
1843C23—1342no—
1844C23—1342no—
1845C23—1342no—
1846C23—1342no—
1847C23—1342no—
1848C23—1348no—
1849C23#1452408814yes—
1850C23C24×D6712yes—
1851C23C24×D6712yes—
1852C23C24×D6712yes—
1853C23C24×D6712yes—
1854C23C24×D6711yescharacteristic
1855Q8—44no—
1856Q8—44no—
1857Q8—2684no—
1858Q8—2684no—
1859Q8—2684no—
1860D4—28no—
1861D4—28no—
1862D4—28no—
1863D4—44no—
1864D4—44no—
1865D4—44no—
1866D4—2684no—
1867D4—2684no—
1868D4—2684no—
1869D4—2684no—
1870D4—2684no—
1871D4—2684no—
1872D4—2684no—
1873D4—2684no—
1874D4—2684no—
1875D4—2684no—
1876D4—2684no—
1877D4—2684no—
1878D4—2684no—
1879D4—2684no—
1880D4—2684no—
1881D4—2684no—
1882D4—2684no—
1883D4—2684no—
1884D4—1348no—
1885D4—1348no—
1886D4—1348no—
1887C2×C4—22no—
1888C2×C4—22no—
1889C2×C4—22no—
1890C2×C4—22no—
1891C2×C4—28no—
1892C2×C4—28no—
1893C2×C4—22no—
1894C2×C4—22no—
1895C2×C4—22no—
1896C2×C4—22no—
1897C2×C4—22no—
1898C2×C4—22no—
1899C2×C4—22no—
1900C2×C4—44no—
1901C2×C4—44no—
1902C2×C4—44no—
1903C2×C4—44no—
1904C2×C4—44no—
1905C2×C4—44no—
1906C2×C4—2684no—
1907C2×C4—2684no—
1908C2×C4—2684no—
1909C2×C4—2684no—
1910C2×C4—2684no—
1911C2×C4—2684no—
1912C2×C4—2684no—
1913C2×C4—2684no—
1914C2×C4—2684no—
1915C2×C4—2684no—
1916C2×C4—2684no—
1917C2×C4—2684no—
1918C2×C4—2684no—
1919C2×C4—2684no—
1920C2×C4—672no—
1921C2×C4—672no—
1922C2×C4—672no—
1923C2×C4—672no—
1924C2×C4—672no—
1925C2×C4—672no—
1926C2×C4—672no—
1927C2×C4—672no—
1928C2×C4—672no—
1929C2×C4—672no—
1930C2×C4—672no—
1931C2×C4—1342no—
1932C2×C4—1342no—
1933C2×C4—1342no—
1934C2×C4—1342no—
1935C2×C4—1342no—
1936C2×C4—1342no—
1937C2×C4—1342no—
1938C2×C4—1342no—
1939C2×C4—1342no—
1940C2×C4—1342no—
1941C2×C4—1342no—
1942C2×C4C24×D6712yes—
1943C2×C4C24×D6712yes—
1944C2×C4C24×D6712yes—
1945C2×C4C24×D6712yes—
1946C2×C4C24×D6712yes—
1947C2×C4C24×D6712yes—
1948C2×C4C24×D6712yes—
1949C2×C4C24×D6712yes—
1950C2×C4C24×D6712yes—
1951C2×C4C24×D6712yes—
1952C2×C4C24×D6712yes—
1953C22—28no—
1954C22—22no—
1955C22—22no—
1956C22—22no—
1957C22—22no—
1958C22—22no—
1959C22—22no—
1960C22—22no—
1961C22—22no—
1962C22—22no—
1963C22—22no—
1964C22—22no—
1965C22—44no—
1966C22—44no—
1967C22—44no—
1968C22—2684no—
1969C22—2684no—
1970C22—2684no—
1971C22—2684no—
1972C22—2684no—
1973C22—5368no—
1974C22—5368no—
1975C22—5368no—
1976C22—1342no—
1977C22—1342no—
1978C22—1342no—
1979C22—1342no—
1980C22—1342no—
1981C22—1342no—
1982C22—1342no—
1983C22—1342no—
1984C22—1342no—
1985C22—1342no—
1986C22—1342no—
1987C22—1342no—
1988C22—1342no—
1989C22—1342no—
1990C22—1342no—
1991C22C2×#1452408814yes—
1992C22C2×#1452408812yes—
1993C22#1686423212yes—
1994C22#1686423312yes—
1995C22C25×D6711yescharacteristic
1996C4—22no—
1997C4—22no—
1998C4—22no—
1999C4—22no—
2000C4—22no—
2001C4—22no—
2002C4—22no—
2003C4—22no—
2004C4—22no—
2005C4—22no—
2006C4—22no—
2007C4—1342no—
2008C4—1342no—
2009C4—1342no—
2010C4—1342no—
2011C4—1342no—
2012C4—1342no—
2013C4—1342no—
2014C4—1342no—
2015C4—1342no—
2016C4—1342no—
2017C4—1342no—
2018C2—24no—
2019C2—42no—
2020C2—42no—
2021C2—42no—
2022C2—2682no—
2023C2—2682no—
2024C2—2682no—
2025C2—2682no—
2026C2—2682no—
2027C2#2257475714yesdirect product factor
2028C2C22×#1452408811yescharacteristic
2029C2C2×#1686423211yescharacteristic
2030C2C2×#1686423311yescharacteristic
subgroupG/H
centerC23C24×D67
commutator, cosocleC22×C67C26
FrattiniC22C25×D67
FittingC2×#547×C67C2
socleC23×C67C25
hypercenterC2×#547D67
hypocenterC67C2×#3560
LCSG ▷ C22×C67 ▷ C67
UCSC1 ◁ C23 ◁ C2×#547

Complements

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

NH ≅ G/Ntype
1. #22574757C2direct (N × H)
2. C2×#16864147C2semidirect
3. C2×#16864145C2semidirect
4. C2×#16864136C2semidirect
5. C2×#16864134C2semidirect
6. C2×#16864095C2semidirect
7. C2×#16864094C2semidirect
8. C2×#16864091C2semidirect
9. C2×#16864089C2semidirect
10. C2×#16864075C2semidirect
11. C2×#16864073C2semidirect
12. C2×#16864047C2semidirect
13. C2×#16864038C2semidirect
14. C2×#16864038C2semidirect
15. C2×#16864034C2semidirect
16. C2×#16864034C2semidirect
17. C2×#16864020C2semidirect
18. C2×#16864014C2semidirect
19. C2×#16863993C2semidirect
20. C2×#16863992C2semidirect
21. C2×#16863990C2semidirect
22. C2×#16863986C2semidirect
23. C2×#16863982C2semidirect
24. C2×#16863979C2semidirect
25. C2×#16863979C2semidirect
26. C2×#16863978C2semidirect
27. C2×#16863974C2semidirect
28. C2×#16863954C2semidirect
29. C2×#16863942C2semidirect
30. C2×#16863923C2semidirect
31. C22×#14524038C2semidirect
32. C2×#547×C67C2semidirect
33. C22×#11761628C22semidirect
34. C22×#11761628C22semidirect
37. #16864147C22semidirect
38. #16864145C22semidirect
39. #16864136C22semidirect
40. #16864134C22semidirect
41. #16864095C22semidirect
42. #16864094C22semidirect
43. #16864091C22semidirect
44. #16864089C22semidirect
45. #16864075C22semidirect
46. #16864073C22semidirect
47. #16864047C22semidirect
48. #16864038C22semidirect
49. #16864038C22semidirect
50. #16864034C22semidirect
51. #16864034C22semidirect
52. #16864020C22semidirect
53. #16864014C22semidirect
54. #16863993C22semidirect
55. #16863992C22semidirect
56. #16863990C22semidirect
57. #16863986C22semidirect
58. #16863982C22semidirect
59. #16863979C22semidirect
60. #16863979C22semidirect
61. #16863978C22semidirect
62. #16863974C22semidirect
63. #16863954C22semidirect
64. #16863942C22semidirect
65. C2×#14524042C22semidirect
66. C2×#14524041C22semidirect
67. C2×#14524039C22semidirect
68. #16863923C22semidirect
69. C2×#14524038C22semidirect
70. C2×#14524038C22semidirect
71. C2×#14524038C22semidirect
72. C2×#14524038C22semidirect
73. C2×#14524038C22semidirect
74. C2×#14524038C22semidirect
75. C2×#14524038C22semidirect
76. C2×#14524038C22semidirect
77. C2×#14524038C22semidirect
78. C2×#14524038C22semidirect
79. C2×#14524038C22semidirect
80. C2×#14524038C22semidirect
81. C2×#14524038C22semidirect
82. C2×#14524037C22semidirect
83. C2×#14524037C22semidirect
84. C2×#14524036C22semidirect
85. C2×#14524036C22semidirect
86. C2×#14524036C22semidirect
87. C2×#14524036C22semidirect
88. C2×#14524034C22semidirect
89. C2×#14524033C22semidirect
90. C2×#14524033C22semidirect
91. C2×#14524033C22semidirect
92. C2×#14524033C22semidirect
95. C2×#14524032C22semidirect
96. C2×#14524031C22semidirect
97. C2×#14524030C22semidirect
100. C2×#14524029C22semidirect
101. C2×#14524029C22semidirect
106. C2×#14524028C22semidirect
107. C2×#14524028C22semidirect
108. C2×#14524028C22semidirect
109. C2×#14524028C22semidirect
110. C2×#14524027C22semidirect
113. C2×#14524026C22semidirect
114. C2×#14524026C22semidirect
115. C2×#14524026C22semidirect
116. C2×#14524026C22semidirect
119. C2×#14524025C22semidirect
120. C2×#14524025C22semidirect
121. C2×#14524024C22semidirect
122. C2×#14524023C22semidirect
123. C2×#14524022C22semidirect
124. C2×#14524022C22semidirect
125. C2×#14524021C22semidirect
126. C2×#14524021C22semidirect
127. C2×#14524021C22semidirect
128. C2×#14524021C22semidirect
129. C2×#14524020C22semidirect
130. C2×#14524020C22semidirect
131. C2×#14524019C22semidirect
132. C2×#14524019C22semidirect
133. C2×#14524019C22semidirect
134. C2×#14524019C22semidirect
137. C2×#14524018C22semidirect
141. C2×#14524017C22semidirect
142. C2×#14524017C22semidirect
143. C2×#14524017C22semidirect
146. C2×#14524016C22semidirect
147. C2×#14524016C22semidirect
152. C2×#14524015C22semidirect
153. C2×#14524015C22semidirect
154. C2×#14524015C22semidirect
155. C2×#14524015C22semidirect
156. C2×#14524015C22semidirect
157. C2×#14524015C22semidirect
158. C2×#14524014C22semidirect
159. C2×#14524014C22semidirect
163. C2×#14524013C22semidirect
164. C2×#14524013C22semidirect
168. C2×#14524011C22semidirect
169. C2×#14524011C22semidirect
170. C2×#14524008C22semidirect
171. C2×D4×Dic67C22semidirect
172. C2×D4×Dic67C22semidirect
173. C2×#14524005C22semidirect
174. C2×#14524005C22semidirect
175. C2×#14524005C22semidirect
176. C2×C4×C22⋊D67C22semidirect
177. C2×C4×C22⋊D67C22semidirect
178. C2×C4×C22⋊D67C22semidirect
179. C2×C4×C22⋊D67C22semidirect
180. C2×C4×C22⋊D67C22semidirect
181. C2×C4×C22⋊D67C22semidirect
182. C2×C4×C22⋊D67C22semidirect
183. C2×C4×C22⋊D67C22semidirect
184. C2×(C22⋊D67)⋊C4C22semidirect
185. C2×(C22⋊D67)⋊C4C22semidirect
186. C2×(C22⋊D67)⋊C4C22semidirect
187. C2×(C22⋊D67)⋊C4C22semidirect
188. C2×#14524001C22semidirect
189. C2×#14524000C22semidirect
190. C2×#14523999C22semidirect
191. C2×#14523999C22semidirect
192. C22×C4⋊Dic67C22semidirect
193. C22×Dic67⋊C4C22semidirect
194. C2×C4⋊C4×D67C22semidirect
198. C22×(C2×D67)⋊C4C22semidirect
199. C22×(C2×D67)⋊C4C22semidirect
200. C2×C22⋊C4×D67C22semidirect
201. C2×C22⋊C4×D67C22semidirect
202. C22×C4×Dic67C22semidirect
203. C22×#41×C67C22semidirect
204. C22×#41×C67C22semidirect
205. #547×C67C22semidirect
206. C2×C4⋊Q8×C67C22semidirect
207. C2×#123×C67C22semidirect
208. C2×#123×C67C22semidirect
209. C2×#123×C67C22semidirect
210. C2×#123×C67C22semidirect
211. C2×C22⋊Q8×C67C22semidirect
212. C2×C22⋊Q8×C67C22semidirect
214. C2×#121×C67C22semidirect
215. C2×C4×D4×C67C22semidirect
216. C2×C4×D4×C67C22semidirect
217. C22×C4⋊C4×C67C22semidirect
218. C22×C4⋊C4×C67C22semidirect
224. C2×#11761628C23semidirect
225. C2×#11761628C23semidirect
268. #14524042C23semidirect
269. #14524041C23semidirect
270. #14524039C23semidirect
271. #14524038C23semidirect
272. #14524038C23semidirect
273. #14524038C23semidirect
274. #14524038C23semidirect
275. #14524038C23semidirect
276. #14524038C23semidirect
277. #14524038C23semidirect
278. #14524038C23semidirect
279. #14524038C23semidirect
280. #14524038C23semidirect
281. #14524038C23semidirect
282. #14524038C23semidirect
283. #14524037C23semidirect
284. #14524037C23semidirect
285. #14524036C23semidirect
286. #14524036C23semidirect
287. #14524036C23semidirect
288. #14524036C23semidirect
289. #14524034C23semidirect
290. #14524033C23semidirect
291. #14524033C23semidirect
292. #14524033C23semidirect
293. #14524033C23semidirect
296. #14524032C23semidirect
297. #14524031C23semidirect
298. #14524030C23semidirect
301. #14524029C23semidirect
302. #14524029C23semidirect
307. #14524028C23semidirect
308. #14524028C23semidirect
309. #14524028C23semidirect
310. #14524028C23semidirect
311. #14524027C23semidirect
314. #14524026C23semidirect
315. #14524026C23semidirect
316. #14524026C23semidirect
317. #14524026C23semidirect
320. #14524025C23semidirect
321. #14524025C23semidirect
322. #14524024C23semidirect
323. #14524023C23semidirect
324. #14524022C23semidirect
325. #14524022C23semidirect
326. #14524021C23semidirect
327. #14524021C23semidirect
328. #14524021C23semidirect
329. #14524021C23semidirect
330. #14524020C23semidirect
331. #14524020C23semidirect
332. #14524019C23semidirect
333. #14524019C23semidirect
334. #14524019C23semidirect
335. #14524019C23semidirect
338. #14524018C23semidirect
342. #14524017C23semidirect
343. #14524017C23semidirect
344. #14524017C23semidirect
347. #14524016C23semidirect
348. #14524016C23semidirect
353. #14524015C23semidirect
354. #14524015C23semidirect
355. #14524015C23semidirect
356. #14524015C23semidirect
357. #14524015C23semidirect
358. #14524015C23semidirect
359. #14524014C23semidirect
360. #14524014C23semidirect
364. #14524013C23semidirect
365. #14524013C23semidirect
369. #14524011C23semidirect
370. #14524011C23semidirect
371. #14524008C23semidirect
372. D4×Dic67C23semidirect
373. D4×Dic67C23semidirect
374. #14524005C23semidirect
375. #14524005C23semidirect
376. #14524005C23semidirect
377. C4×C22⋊D67C23semidirect
378. C4×C22⋊D67C23semidirect
379. C4×C22⋊D67C23semidirect
380. C4×C22⋊D67C23semidirect
381. C4×C22⋊D67C23semidirect
382. C4×C22⋊D67C23semidirect
383. C4×C22⋊D67C23semidirect
384. C4×C22⋊D67C23semidirect
385. (C22⋊D67)⋊C4C23semidirect
386. (C22⋊D67)⋊C4C23semidirect
387. (C22⋊D67)⋊C4C23semidirect
388. (C22⋊D67)⋊C4C23semidirect
389. #14524001C23semidirect
390. #14524000C23semidirect
391. #14523999C23semidirect
392. #14523999C23semidirect
401. C2×C4⋊Dic67C23semidirect
422. C2×Dic67⋊C4C23semidirect
423. C4⋊C4×D67C23semidirect
469. C2×(C2×D67)⋊C4C23semidirect
470. C2×(C2×D67)⋊C4C23semidirect
471. C22⋊C4×D67C23semidirect
472. C22⋊C4×D67C23semidirect
482. C2×C4×Dic67C23semidirect
485. C2×#41×C67C23semidirect
486. C2×#41×C67C23semidirect
503. C4⋊Q8×C67C23semidirect
504. #123×C67C23semidirect
505. #123×C67C23semidirect
506. #123×C67C23semidirect
507. #123×C67C23semidirect
508. C22⋊Q8×C67C23semidirect
509. C22⋊Q8×C67C23semidirect
511. #121×C67C23semidirect
512. C4×D4×C67C23semidirect
513. C4×D4×C67C23semidirect
524. C2×C4⋊C4×C67C23semidirect
525. C2×C4⋊C4×C67C23semidirect
1007. C2×C67#3560semidirect
1028. C2×#547D67semidirect
1048. C67C2×#3560semidirect
1051. C22×#41C2×D67semidirect
1052. C22×#41C2×D67semidirect
1066. #547C2×D67semidirect
1086. C2×C4⋊Q8C2×D67semidirect
1142. C2×#123C2×D67semidirect
1143. C2×#123C2×D67semidirect
1144. C2×#123C2×D67semidirect
1145. C2×#123C2×D67semidirect
1159. C2×C22⋊Q8C2×D67semidirect
1160. C2×C22⋊Q8C2×D67semidirect
1187. C2×#121C2×D67semidirect
1216. C2×C4×D4C2×D67semidirect
1217. C2×C4×D4C2×D67semidirect
1225. C22×C4⋊C4C2×D67semidirect
1226. C22×C4⋊C4C2×D67semidirect
1244. C2×#41C22×D67semidirect
1245. C2×#41C22×D67semidirect
1306. C4⋊Q8C22×D67semidirect
1360. #123C22×D67semidirect
1361. #123C22×D67semidirect
1362. #123C22×D67semidirect
1363. #123C22×D67semidirect
1377. C22⋊Q8C22×D67semidirect
1378. C22⋊Q8C22×D67semidirect
1405. #121C22×D67semidirect
1434. C4×D4C22×D67semidirect
1435. C4×D4C22×D67semidirect
1481. C2×C4⋊C4C22×D67semidirect
1482. C2×C4⋊C4C22×D67semidirect
2027. C2#22574757direct (N × H)

Maximal subgroups

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

subgroupindex
#225747572
C2×#168641472
C2×#168641452
C2×#168641362
C2×#168641342
C2×#168640952
C2×#168640942
C2×#168640912
C2×#168640892
C2×#168640752
C2×#168640732
C2×#168640472
C2×#168640382
C2×#168640342
C2×#168640202
C2×#168640142
C2×#168639932
C2×#168639922
C2×#168639902
C2×#168639862
C2×#168639822
C2×#168639792
C2×#168639782
C2×#168639742
C2×#168639542
C2×#168639422
C2×#168639232
C22×#145240382
C2×#547×C672
C2×#356067