Finite Group Databasebeta

← C2×#22574371 #31763085

Subgroups — C2×#22574371 #31763085

Order 17152.

7430 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#22574371C2132yesmaximal, direct product factor
2C2×#16864147C211yesmaximal, characteristic, complemented
3C2×#16864143C211yesmaximal, characteristic, complemented
4C2×#16864134C211yesmaximal, characteristic, complemented
5C2×#16864128C211yesmaximal, characteristic, complemented
6C2×#16864093C211yesmaximal, characteristic, complemented
7C2×#16864089C211yesmaximal, characteristic, complemented
8C2×#16864084C211yesmaximal, characteristic, complemented
9C2×#16864080C211yesmaximal, characteristic, complemented
10C2×#16864073C211yesmaximal, characteristic, complemented
11C2×#16864069C211yesmaximal, characteristic, complemented
12C2×#16864069C211yesmaximal, characteristic, complemented
13C2×#16864048C211yesmaximal, characteristic, complemented
14C2×#16864044C211yesmaximal, characteristic, complemented
15C2×#16864039C211yesmaximal, characteristic, complemented
16C2×#16864035C211yesmaximal, characteristic, complemented
17C2×#16864019C211yesmaximal, characteristic, complemented
18C2×#16864010C211yesmaximal, characteristic, complemented
19C2×#16863999C211yesmaximal, characteristic, complemented
20C2×#16863998C211yesmaximal, characteristic, complemented
21C2×#16863995C211yesmaximal, characteristic, complemented
22C2×#16863994C211yesmaximal, characteristic, complemented
23C2×#16863986C211yesmaximal, characteristic, complemented
24C2×#16863982C211yesmaximal, characteristic, complemented
25C2×#16863982C211yesmaximal, characteristic, complemented
26C2×#16863980C211yesmaximal, characteristic, complemented
27C2×#16863962C211yesmaximal, characteristic, complemented
28C2×#16863954C211yesmaximal, characteristic, complemented
29C2×#16863909C211yesmaximal, characteristic, complemented
30C2×#16863906C211yesmaximal, characteristic, complemented
31C2×#123×D67C211yesmaximal, characteristic, complemented
32C2×#562×C67C211yesmaximal, characteristic, complemented
33C22×#11761629C2211yescharacteristic
34C22×#11761628C2211yescharacteristic, complemented
35C22×#11761627C2211yescharacteristic
36C22×D4×D67C2211yescharacteristic
37C22×D4×D67C2211yescharacteristic
38C23×C4×D67C2211yescharacteristic, complemented
39#16864147C22116yescomplemented
40#16864143C22116yescomplemented
41#16864134C22116yescomplemented
42#16864128C22116yescomplemented
43#16864093C22116yescomplemented
44#16864089C22116yescomplemented
45#16864084C22116yescomplemented
46#16864080C22116yescomplemented
47#16864073C22116yescomplemented
48#16864069C22116yescomplemented
49#16864069C22116yescomplemented
50#16864048C22116yescomplemented
51#16864044C22116yescomplemented
52#16864039C22116yescomplemented
53#16864035C22116yescomplemented
54#16864019C22116yescomplemented
55#16864010C22116yescomplemented
56#16863999C22116yescomplemented
57#16863998C22116yescomplemented
58#16863995C22116yescomplemented
59#16863994C22116yescomplemented
60#16863986C22116yescomplemented
61#16863982C22116yescomplemented
62#16863982C22116yescomplemented
63#16863980C22116yescomplemented
64#16863962C22116yescomplemented
65#16863954C22116yescomplemented
66C2×#14524042C2211yescharacteristic, complemented
67C2×#14524041C2211yescharacteristic, complemented
68C2×#14524039C2211yescharacteristic
69C2×#14524039C2211yescharacteristic, complemented
70C2×#14524038C2211yescharacteristic, complemented
71C2×#14524038C2211yescharacteristic, complemented
72C2×#14524038C2211yescharacteristic, complemented
73C2×#14524038C2211yescharacteristic, complemented
74C2×#14524038C2211yescharacteristic, complemented
75C2×#14524038C2211yescharacteristic, complemented
76C2×#14524038C2211yescharacteristic, complemented
77C2×#14524037C2211yescharacteristic, complemented
78C2×#14524036C2211yescharacteristic, complemented
79C2×#14524036C2211yescharacteristic, complemented
80C2×#14524036C2211yescharacteristic, complemented
81C2×#14524036C2211yescharacteristic, complemented
82C2×#14524034C2211yescharacteristic, complemented
83C2×#14524034C2211yescharacteristic, complemented
84C2×#14524034C2211yescharacteristic, complemented
85C2×#14524033C2211yescharacteristic, complemented
86C2×#14524033C2211yescharacteristic, complemented
87C2×#14524032C2211yescharacteristic, complemented
88C2×#14524032C2211yescharacteristic, complemented
89C2×#14524029C2211yescharacteristic
90C2×#14524029C2211yescharacteristic, complemented
91C2×#14524029C2211yescharacteristic, complemented
92C2×#14524029C2211yescharacteristic, complemented
93C2×#14524029C2211yescharacteristic, complemented
94C2×#14524029C2211yescharacteristic, complemented
95#16863909C22116yescomplemented
96#16863906C22116yescomplemented
97C2×#14524028C2211yescharacteristic
98C2×#14524028C2211yescharacteristic
99C2×#14524028C2211yescharacteristic
100C2×#14524028C2211yescharacteristic
101C2×#14524028C2211yescharacteristic
102C2×#14524028C2211yescharacteristic, complemented
103C2×#14524028C2211yescharacteristic, complemented
104C2×#14524028C2211yescharacteristic, complemented
105C2×#14524028C2211yescharacteristic, complemented
106C2×#14524027C2211yescharacteristic
107C2×#14524027C2211yescharacteristic, complemented
108C2×#14524027C2211yescharacteristic, complemented
109C2×#14524027C2211yescharacteristic, complemented
110C2×#14524027C2211yescharacteristic, complemented
111C2×#14524026C2211yescharacteristic
112C2×#14524025C2211yescharacteristic
113C2×#14524025C2211yescharacteristic
114C2×#14524025C2211yescharacteristic
115C2×#14524025C2211yescharacteristic, complemented
116C2×#14524025C2211yescharacteristic, complemented
117C2×#14524025C2211yescharacteristic, complemented
118C2×#14524025C2211yescharacteristic, complemented
119C2×#14524025C2211yescharacteristic, complemented
120C2×#14524025C2211yescharacteristic, complemented
121C2×#14524024C2211yescharacteristic, complemented
122C2×#14524024C2211yescharacteristic, complemented
123#123×D67C22116yescomplemented
124C2×#14524023C2211yescharacteristic, complemented
125C2×#14524023C2211yescharacteristic, complemented
126C2×#14524023C2211yescharacteristic, complemented
127C2×#14524023C2211yescharacteristic, complemented
128C2×#14524022C2211yescharacteristic, complemented
129C2×#14524021C2211yescharacteristic, complemented
130C2×#14524021C2211yescharacteristic, complemented
131C2×#14524020C2211yescharacteristic, complemented
132C2×#14524020C2211yescharacteristic, complemented
133C2×#14524019C2211yescharacteristic, complemented
134C2×#14524019C2211yescharacteristic, complemented
135C2×#14524019C2211yescharacteristic, complemented
136C2×#14524018C2211yescharacteristic
137C2×#14524018C2211yescharacteristic, complemented
138C2×#14524017C2211yescharacteristic
139C2×#14524017C2211yescharacteristic
140C2×#14524017C2211yescharacteristic, complemented
141C2×#14524017C2211yescharacteristic, complemented
142C2×#14524016C2211yescharacteristic
143C2×#14524016C2211yescharacteristic
144C2×#14524016C2211yescharacteristic, complemented
145C2×#14524016C2211yescharacteristic, complemented
146C2×#14524016C2211yescharacteristic, complemented
147C2×#14524015C2211yescharacteristic
148C2×#14524015C2211yescharacteristic
149C2×#14524015C2211yescharacteristic, complemented
150C2×#14524015C2211yescharacteristic, complemented
151C2×#14524015C2211yescharacteristic, complemented
152C2×#14524014C2211yescharacteristic, complemented
153C2×#14524014C2211yescharacteristic, complemented
154C2×#14524014C2211yescharacteristic, complemented
155C2×#14524014C2211yescharacteristic, complemented
156C2×#14524013C2211yescharacteristic
157C2×#14524013C2211yescharacteristic
158C2×#14524013C2211yescharacteristic
159C2×#14524013C2211yescharacteristic, complemented
160C2×#14524013C2211yescharacteristic, complemented
161C2×#14524011C2211yescharacteristic
162C2×#14524011C2211yescharacteristic
163C2×#14524011C2211yescharacteristic
164C2×#14524011C2211yescharacteristic, complemented
165C2×#14524011C2211yescharacteristic, complemented
166C2×Q8×Dic67C2211yescharacteristic, complemented
167C2×C4×Dic134C2211yescharacteristic, complemented
168C2×C4×D268C2211yescharacteristic
169C2×C4×D268C2211yescharacteristic, complemented
170C2×D4×Dic67C2211yescharacteristic, complemented
171C2×D4×Dic67C2211yescharacteristic, complemented
172C2×D4×Dic67C2211yescharacteristic, complemented
173C2×#14524005C2211yescharacteristic, complemented
174C2×#14524005C2211yescharacteristic, complemented
175C2×#14524005C2211yescharacteristic, complemented
176C2×C4×C22⋊D67C2211yescharacteristic
177C2×C4×C22⋊D67C2211yescharacteristic, complemented
178C2×C4×C22⋊D67C2211yescharacteristic, complemented
179C2×(C22⋊D67)⋊C4C2211yescharacteristic, complemented
180C2×(C22⋊D67)⋊C4C2211yescharacteristic, complemented
181C2×(C22⋊D67)⋊C4C2211yescharacteristic, complemented
182C2×(C22⋊D67)⋊C4C2211yescharacteristic, complemented
183C2×(C22⋊D67)⋊C4C2211yescharacteristic, complemented
184C2×(C22⋊D67)⋊C4C2211yescharacteristic, complemented
185C2×(C22⋊D67)⋊C4C2211yescharacteristic, complemented
186C2×#14524002C2211yescharacteristic, complemented
187C2×#14524002C2211yescharacteristic, complemented
188C2×#14524001C2211yescharacteristic, complemented
189C2×#14524001C2211yescharacteristic, complemented
190C2×#14524001C2211yescharacteristic, complemented
191C2×#14524001C2211yescharacteristic, complemented
192C2×#14523999C2211yescharacteristic, complemented
193C22×Dic67⋊C4C2211yescharacteristic, complemented
194C2×C4⋊C4×D67C2211yescharacteristic, complemented
195C2×C4⋊C4×D67C2211yescharacteristic, complemented
196C2×C4⋊C4×D67C2211yescharacteristic, complemented
197C22×(C2×D67)⋊C4C2211yescharacteristic
198C22×(C2×D67)⋊C4C2211yescharacteristic, complemented
199C2×C22⋊C4×D67C2211yescharacteristic
200C2×C22⋊C4×D67C2211yescharacteristic
201C2×C22⋊C4×D67C2211yescharacteristic, complemented
202C2×C22⋊C4×D67C2211yescharacteristic, complemented
203#562×C67C22116yescomplemented
204C2×#125×C67C2211yescharacteristic, complemented
205C2×#124×C67C2211yescharacteristic, complemented
206C2×#124×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×C22⋊Q8×C67C2211yescharacteristic, complemented
214C2×C22⋊Q8×C67C2211yescharacteristic, complemented
215C2×#121×C67C2211yescharacteristic
216C2×#121×C67C2211yescharacteristic, complemented
217C2×#121×C67C2211yescharacteristic, complemented
218C2×#121×C67C2211yescharacteristic, complemented
219C24×D67C2311yescharacteristic
220C24×D67C2311yescharacteristic
221C24×D67C2311yescharacteristic
222C2×#11761629—44no—
223C2×#11761629C2318yes—
224C2×#11761628—44no—
225C2×#11761628C2318yescomplemented
226C2×#11761627—44no—
227C2×#11761627C2318yes—
228C22×Dic134C2311yescharacteristic
229C22×Dic134C2311yescharacteristic
230C22×Dic134C2311yescharacteristic
231C22×D268C2311yescharacteristic
232C22×D268C2311yescharacteristic
233C22×D268C2311yescharacteristic
234C22×D268C2311yescharacteristic
235C22×D268C2311yescharacteristic
236C22×D268C2311yescharacteristic
237C22×D268C2311yescharacteristic
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
250C22×C22⋊D67C2311yescharacteristic
251C22×C22⋊D67C2311yescharacteristic
252C2×D4×D67—44no—
253C2×D4×D67—44no—
254C2×D4×D67C2318yes—
255C2×D4×D67C2318yes—
256C23×Dic67C2311yescharacteristic
257C23×Dic67C2311yescharacteristic
258C23×Dic67C2311yescharacteristic
259C23×Dic67C2311yescharacteristic
260C23×Dic67C2311yescharacteristic
261C22×C4×D67—44no—
262C22×C4×D67C2311yescharacteristic
263C22×C4×D67C2311yescharacteristic
264C22×C4×D67C2311yescharacteristic
265C22×C4×D67C2311yescharacteristic
266C22×C4×D67C2311yescharacteristic
267C22×C4×D67C2311yescharacteristic
268C22×C4×D67C2311yescharacteristic
269C22×C4×D67C2311yescharacteristic
270C22×C4×D67C2311yescharacteristic
271C22×C4×D67C2311yescharacteristic
272C22×C4×D67C2311yescharacteristic
273C22×C4×D67C2311yescharacteristic
274C22×C4×D67C2311yescharacteristic
275C22×C4×D67C2318yescomplemented
276#14524042C2318yescomplemented
277#14524041C2318yescomplemented
278#14524039C2318yes—
279#14524039C2318yescomplemented
280#14524038C2318yescomplemented
281#14524038C2318yescomplemented
282#14524038C2318yescomplemented
283#14524038C2318yescomplemented
284#14524038C2318yescomplemented
285#14524038C2318yescomplemented
286#14524038C2318yescomplemented
287#14524037C2318yescomplemented
288#14524036C2318yescomplemented
289#14524036C2318yescomplemented
290#14524036C2318yescomplemented
291#14524036C2318yescomplemented
292#14524034C2318yescomplemented
293#14524034C2318yescomplemented
294#14524034C2318yescomplemented
295#14524033C2318yescomplemented
296#14524033C2318yescomplemented
297#14524032C2318yescomplemented
298#14524032C2318yescomplemented
299#14524029C2318yes—
300#14524029C2318yescomplemented
301#14524029C2318yescomplemented
302#14524029C2318yescomplemented
303#14524029C2318yescomplemented
304#14524029C2318yescomplemented
305#14524028C2318yes—
306#14524028C2318yes—
307#14524028C2318yes—
308#14524028C2318yes—
309#14524028C2318yes—
310#14524028C2318yescomplemented
311#14524028C2318yescomplemented
312#14524028C2318yescomplemented
313#14524028C2318yescomplemented
314#14524027C2318yes—
315#14524027C2318yescomplemented
316#14524027C2318yescomplemented
317#14524027C2318yescomplemented
318#14524027C2318yescomplemented
319#14524026C2318yes—
320#14524025C2318yes—
321#14524025C2318yes—
322#14524025C2318yes—
323#14524025C2318yescomplemented
324#14524025C2318yescomplemented
325#14524025C2318yescomplemented
326#14524025C2318yescomplemented
327#14524025C2318yescomplemented
328#14524025C2318yescomplemented
329#14524024C2318yescomplemented
330#14524024C2318yescomplemented
331#14524023C2318yescomplemented
332#14524023C2318yescomplemented
333#14524023C2318yescomplemented
334#14524023C2318yescomplemented
335#14524022C2318yescomplemented
336#14524021C2318yescomplemented
337#14524021C2318yescomplemented
338#14524020C2318yescomplemented
339#14524020C2318yescomplemented
340#14524019C2318yescomplemented
341#14524019C2318yescomplemented
342#14524019C2318yescomplemented
343#14524018C2318yes—
344#14524018C2318yescomplemented
345#14524017C2318yes—
346#14524017C2318yes—
347#14524017C2318yescomplemented
348#14524017C2318yescomplemented
349#14524016C2318yes—
350#14524016C2318yes—
351#14524016C2318yescomplemented
352#14524016C2318yescomplemented
353#14524016C2318yescomplemented
354#14524015C2318yes—
355#14524015C2318yes—
356#14524015C2318yescomplemented
357#14524015C2318yescomplemented
358#14524015C2318yescomplemented
359#14524014C2318yescomplemented
360#14524014C2318yescomplemented
361#14524014C2318yescomplemented
362#14524014C2318yescomplemented
363#14524013C2318yes—
364#14524013C2318yes—
365#14524013C2318yes—
366#14524013C2318yescomplemented
367#14524013C2318yescomplemented
368#14524011C2318yes—
369#14524011C2318yes—
370#14524011C2318yes—
371#14524011C2318yescomplemented
372#14524011C2318yescomplemented
373Q8×Dic67C2318yescomplemented
374C4×Dic134C2318yescomplemented
375C4×D268C2318yes—
376C4×D268C2318yescomplemented
377D4×Dic67C2318yescomplemented
378D4×Dic67C2318yescomplemented
379D4×Dic67C2318yescomplemented
380#14524005C2318yescomplemented
381#14524005C2318yescomplemented
382#14524005C2318yescomplemented
383C4×C22⋊D67C2318yes—
384C4×C22⋊D67C2318yescomplemented
385C4×C22⋊D67C2318yescomplemented
386(C22⋊D67)⋊C4C2318yescomplemented
387(C22⋊D67)⋊C4C2318yescomplemented
388(C22⋊D67)⋊C4C2318yescomplemented
389(C22⋊D67)⋊C4C2318yescomplemented
390(C22⋊D67)⋊C4C2318yescomplemented
391(C22⋊D67)⋊C4C2318yescomplemented
392(C22⋊D67)⋊C4C2318yescomplemented
393#14524002C2318yescomplemented
394#14524002C2318yescomplemented
395#14524001C2318yescomplemented
396#14524001C2318yescomplemented
397#14524001C2318yescomplemented
398#14524001C2318yescomplemented
399#14523999C2318yescomplemented
400C2×C4⋊Dic67C2311yescharacteristic
401C2×C4⋊Dic67C2311yescharacteristic
402C2×C4⋊Dic67C2311yescharacteristic
403C2×C4⋊Dic67C2311yescharacteristic
404C2×C4⋊Dic67C2311yescharacteristic
405C2×C4⋊Dic67C2311yescharacteristic
406C2×C4⋊Dic67C2311yescharacteristic
407C2×C4⋊Dic67C2311yescharacteristic
408C2×C4⋊Dic67C2311yescharacteristic
409C2×C4⋊Dic67C2311yescharacteristic
410C2×C4⋊Dic67C2311yescharacteristic
411C2×C4⋊Dic67C2311yescharacteristic
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⋊C4C2311yescharacteristic
423C2×Dic67⋊C4C2311yescharacteristic
424C2×Dic67⋊C4C2311yescharacteristic
425C2×Dic67⋊C4C2311yescharacteristic
426C2×Dic67⋊C4C2311yescharacteristic
427C2×Dic67⋊C4C2311yescharacteristic
428C2×Dic67⋊C4C2318yescomplemented
429C4⋊C4×D67C2318yescomplemented
430C4⋊C4×D67C2318yescomplemented
431C4⋊C4×D67C2318yescomplemented
432C2×C22⋊Dic67C2311yescharacteristic
433C2×C22⋊Dic67C2311yescharacteristic
434C2×C22⋊Dic67C2311yescharacteristic
435C2×C22⋊Dic67C2311yescharacteristic
436C2×C22⋊Dic67C2311yescharacteristic
437C2×C22⋊Dic67C2311yescharacteristic
438C2×C22⋊Dic67C2311yescharacteristic
439C2×C22⋊Dic67C2311yescharacteristic
440C2×C22⋊Dic67C2311yescharacteristic
441C2×C22⋊Dic67C2311yescharacteristic
442C2×(C2×D67)⋊C4C2318yes—
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)⋊C4C2311yescharacteristic
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)⋊C4C2318yescomplemented
472C22⋊C4×D67C2318yes—
473C22⋊C4×D67C2318yes—
474C22⋊C4×D67C2318yescomplemented
475C22⋊C4×D67C2318yescomplemented
476C2×C4×Dic67C2311yescharacteristic
477C2×C4×Dic67C2311yescharacteristic
478C2×C4×Dic67C2311yescharacteristic
479C2×C4×Dic67C2311yescharacteristic
480C2×C4×Dic67C2311yescharacteristic
481C2×C4×Dic67C2311yescharacteristic
482C2×C4×Dic67C2311yescharacteristic
483C2×C4×Dic67C2311yescharacteristic
484C2×C4×Dic67C2311yescharacteristic
485C22×Q8×C67C2311yescharacteristic
486C22×Q8×C67C2311yescharacteristic
487C22×D4×C67C2311yescharacteristic
488C22×D4×C67C2311yescharacteristic
489C22×D4×C67C2311yescharacteristic
490C22×D4×C67C2311yescharacteristic
491C22×D4×C67C2311yescharacteristic
492C22×D4×C67C2311yescharacteristic
493C23×C4×C67C2311yescharacteristic
494C23×C4×C67C2311yescharacteristic
495C23×C4×C67C2311yescharacteristic
496C23×C4×C67C2311yescharacteristic
497#125×C67C2318yescomplemented
498#124×C67C2318yescomplemented
499#124×C67C2318yescomplemented
500#123×C67C2318yescomplemented
501#123×C67C2318yescomplemented
502#123×C67C2318yescomplemented
503#123×C67C2318yescomplemented
504C22⋊Q8×C67C2318yescomplemented
505C22⋊Q8×C67C2318yescomplemented
506C22⋊Q8×C67C2318yescomplemented
507C22⋊Q8×C67C2318yescomplemented
508#121×C67C2318yes—
509#121×C67C2318yescomplemented
510#121×C67C2318yescomplemented
511#121×C67C2318yescomplemented
512C2×C4⋊C4×C67C2311yescharacteristic
513C2×C4⋊C4×C67C2311yescharacteristic
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×C42×C67C2311yescharacteristic
535C23×D67—24no—
536C23×D67—24no—
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#11761629—416no—
553#11761628—416no—
554#11761627—416no—
555C2×Dic134—42no—
556C2×Dic134—42no—
557C2×Dic134—42no—
558C2×Dic134C2414yes—
559C2×Dic134C2414yes—
560C2×Dic134C2414yes—
561C2×D268—24no—
562C2×D268—24no—
563C2×D268—42no—
564C2×D268—42no—
565C2×D268—42no—
566C2×D268—42no—
567C2×D268—42no—
568C2×D268C2414yes—
569C2×D268C2414yes—
570C2×D268C2414yes—
571C2×D268C2414yes—
572C2×D268C2414yes—
573C2×D268C2414yes—
574C2×D268C2414yes—
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⋊D67—42no—
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—
602C2×C22⋊D67C2414yes—
603D4×D67—416no—
604D4×D67—416no—
605C22×Dic67—42no—
606C22×Dic67—42no—
607C22×Dic67—42no—
608C22×Dic67—42no—
609C22×Dic67—42no—
610C22×Dic67C2411yescharacteristic
611C22×Dic67C2411yescharacteristic
612C22×Dic67C2411yescharacteristic
613C22×Dic67C2411yescharacteristic
614C22×Dic67C2411yescharacteristic
615C22×Dic67C2411yescharacteristic
616C22×Dic67C2411yescharacteristic
617C22×Dic67C2411yescharacteristic
618C22×Dic67C2411yescharacteristic
619C22×Dic67C2411yescharacteristic
620C22×Dic67C2411yescharacteristic
621C22×Dic67C2414yes—
622C22×Dic67C2414yes—
623C22×Dic67C2414yes—
624C22×Dic67C2414yes—
625C22×Dic67C2414yes—
626C2×C4×D67—24no—
627C2×C4×D67—24no—
628C2×C4×D67—24no—
629C2×C4×D67—416no—
630C2×C4×D67—42no—
631C2×C4×D67—42no—
632C2×C4×D67—42no—
633C2×C4×D67—42no—
634C2×C4×D67—42no—
635C2×C4×D67—42no—
636C2×C4×D67—42no—
637C2×C4×D67—42no—
638C2×C4×D67—42no—
639C2×C4×D67—42no—
640C2×C4×D67C2414yes—
641C2×C4×D67C2414yes—
642C2×C4×D67C2414yes—
643C2×C4×D67C2414yes—
644C2×C4×D67C2414yes—
645C2×C4×D67C2414yes—
646C2×C4×D67C2414yes—
647C2×C4×D67C2414yes—
648C2×C4×D67C2414yes—
649C2×C4×D67C2414yes—
650C2×C4×D67C2414yes—
651C2×C4×D67C2414yes—
652C2×C4×D67C2414yes—
653C4⋊Dic67C2414yes—
654C4⋊Dic67C2414yes—
655C4⋊Dic67C2414yes—
656C4⋊Dic67C2414yes—
657C4⋊Dic67C2414yes—
658C4⋊Dic67C2414yes—
659C4⋊Dic67C2414yes—
660C4⋊Dic67C2414yes—
661C4⋊Dic67C2414yes—
662C4⋊Dic67C2414yes—
663C4⋊Dic67C2414yes—
664C4⋊Dic67C2414yes—
665Dic67⋊C4C2414yes—
666Dic67⋊C4C2414yes—
667Dic67⋊C4C2414yes—
668Dic67⋊C4C2414yes—
669Dic67⋊C4C2414yes—
670Dic67⋊C4C2414yes—
671Dic67⋊C4C2414yes—
672Dic67⋊C4C2414yes—
673Dic67⋊C4C2414yes—
674Dic67⋊C4C2414yes—
675Dic67⋊C4C2414yes—
676Dic67⋊C4C2414yes—
677Dic67⋊C4C2414yes—
678Dic67⋊C4C2414yes—
679Dic67⋊C4C2414yes—
680Dic67⋊C4C2414yes—
681C22⋊Dic67C2414yes—
682C22⋊Dic67C2414yes—
683C22⋊Dic67C2414yes—
684C22⋊Dic67C2414yes—
685C22⋊Dic67C2414yes—
686C22⋊Dic67C2414yes—
687C22⋊Dic67C2414yes—
688C22⋊Dic67C2414yes—
689C22⋊Dic67C2414yes—
690C22⋊Dic67C2414yes—
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—
713(C2×D67)⋊C4C2414yes—
714(C2×D67)⋊C4C2414yes—
715(C2×D67)⋊C4C2414yes—
716(C2×D67)⋊C4C2414yes—
717(C2×D67)⋊C4C2414yes—
718(C2×D67)⋊C4C2414yes—
719C4×Dic67C2414yes—
720C4×Dic67C2414yes—
721C4×Dic67C2414yes—
722C4×Dic67C2414yes—
723C4×Dic67C2414yes—
724C4×Dic67C2414yes—
725C4×Dic67C2414yes—
726C4×Dic67C2414yes—
727C4×Dic67C2414yes—
728C24×C67C2411yescharacteristic
729C24×C67C2411yescharacteristic
730C24×C67C2411yescharacteristic
731C24×C67C2411yescharacteristic
732C2×Q8×C67—42no—
733C2×Q8×C67—42no—
734C2×Q8×C67C2414yes—
735C2×Q8×C67C2414yes—
736C2×D4×C67—42no—
737C2×D4×C67—42no—
738C2×D4×C67—42no—
739C2×D4×C67—42no—
740C2×D4×C67—42no—
741C2×D4×C67—42no—
742C2×D4×C67C2414yes—
743C2×D4×C67C2414yes—
744C2×D4×C67C2414yes—
745C2×D4×C67C2414yes—
746C2×D4×C67C2414yes—
747C2×D4×C67C2414yes—
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—
767C4⋊C4×C67C2414yes—
768C4⋊C4×C67C2414yes—
769C4⋊C4×C67C2414yes—
770C4⋊C4×C67C2414yes—
771C4⋊C4×C67C2414yes—
772C4⋊C4×C67C2414yes—
773C4⋊C4×C67C2414yes—
774C4⋊C4×C67C2414yes—
775C4⋊C4×C67C2414yes—
776C4⋊C4×C67C2414yes—
777C22⋊C4×C67C2414yes—
778C22⋊C4×C67C2414yes—
779C22⋊C4×C67C2414yes—
780C22⋊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×C67—22no—
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—28no—
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—416no—
831C22×D67—88no—
832C22×D67—88no—
833C22×D67H(5,𝔽2)14yes—
834C22×D67C2512yes—
835C22×D67C2512yes—
836C22×D67C2512yes—
837C22×D67C2512yes—
838C22×D67C2512yes—
839Q8×C67—44no—
840Q8×C67—44no—
841D4×C67—44no—
842D4×C67—44no—
843D4×C67—44no—
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—22no—
852C2×C4×C67—22no—
853C2×C4×C67—22no—
854C2×C4×C67—22no—
855C2×C4×C67—22no—
856C2×C4×C67—22no—
857C2×C4×C67—22no—
858C2×C4×C67—44no—
859C2×C4×C67—44no—
860C2×C4×C67—44no—
861C2×C4×C67—44no—
862C2×C4×C67C2512yes—
863C2×C4×C67C2512yes—
864C2×C4×C67C2512yes—
865C2×C4×C67C2512yes—
866C2×C4×C67C2512yes—
867C2×C4×C67C2512yes—
868C2×C4×C67C2512yes—
869C2×C4×C67C2512yes—
870C2×C4×C67C2512yes—
871C2×C4×C67C2512yes—
872C2×C4×C67C2512yes—
873C22⋊D67—28no—
874C22⋊D67—28no—
875C22⋊D67—44no—
876C22⋊D67—44no—
877C22⋊D67—44no—
878C22⋊D67—44no—
879C22⋊D67—44no—
880C22⋊D67—44no—
881C22⋊D67—44no—
882C22⋊D67—44no—
883C22⋊D67—44no—
884C22⋊D67—44no—
885C22⋊D67—44no—
886C22⋊D67—44no—
887C2×Dic67—22no—
888C2×Dic67—22no—
889C2×Dic67—22no—
890C2×Dic67—22no—
891C2×Dic67—22no—
892C2×Dic67—22no—
893C2×Dic67—22no—
894C2×Dic67—22no—
895C2×Dic67—22no—
896C2×Dic67—22no—
897C2×Dic67—22no—
898C2×Dic67—44no—
899C2×Dic67—44no—
900C2×Dic67—44no—
901C2×Dic67—44no—
902C2×Dic67—44no—
903C2×Dic67C2512yes—
904C2×Dic67C2512yes—
905C2×Dic67C2512yes—
906C2×Dic67C2512yes—
907C2×Dic67C2512yes—
908C2×Dic67C2512yes—
909C2×Dic67C2512yes—
910C2×Dic67C2512yes—
911C2×Dic67C2512yes—
912C2×Dic67C2512yes—
913C2×Dic67C2512yes—
914D268—28no—
915D268—28no—
916D268—44no—
917D268—44no—
918D268—44no—
919D268—44no—
920D268—44no—
921C4×D67—28no—
922C4×D67—28no—
923C4×D67—28no—
924C4×D67—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—22no—
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×C67—44no—
953C22×C67C2×H(5,𝔽2)12yes—
954C22×C67#58512yes—
955C22×C67#58512yes—
956C22×C67C2611yescharacteristic
957C2×D67—22no—
958C2×D67—22no—
959C2×D67—28no—
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—416no—
973C2×D67—44no—
974C2×D67—44no—
975C2×D67—44no—
976C2×D67—44no—
977C2×D67—88no—
978C2×D67—88no—
979C2×D67C2×H(5,𝔽2)14yes—
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×#3533—671nomaximal, Sylow
1003C2×C67—42no—
1004C2×C67—42no—
1005C2×C67—42no—
1006C2×C67—42no—
1007C2×C67#353314yescomplemented
1008C2×C67C22×H(5,𝔽2)11yescharacteristic
1009C2×C67C2×#58511yescharacteristic
1010C2×C67C2×#58511yescharacteristic
1011D67—24no—
1012D67—42no—
1013D67—42no—
1014D67—42no—
1015D67—42no—
1016#3533—6732no—
1017C2×#563—671no—
1018C2×#562—671no—
1019C2×#562D6711yescharacteristic, complemented
1020C2×#560—671no—
1021C2×#559—671no—
1022C2×#553—671no—
1023C2×#553—671no—
1024C2×#552—671no—
1025C2×#552—671no—
1026C2×#551—671no—
1027C2×#551—671no—
1028C2×#551—671no—
1029C2×#547—671no—
1030C2×#547—671no—
1031C2×#546—671no—
1032C2×#546—671no—
1033C2×#542—671no—
1034C2×#542—671no—
1035C2×#540—671no—
1036C2×#540—671no—
1037C2×#539—671no—
1038C2×#539—671no—
1039C2×#538—671no—
1040C2×#538—671no—
1041C2×#538—671no—
1042C2×#538—671no—
1043C2×#535—671no—
1044C2×#534—671no—
1045C2×#525—671no—
1046C2×#525—671no—
1047C22×#123—671no—
1048C67C2×#353311yescharacteristic, complemented, Sylow
1049C22×#41—671no—
1050C22×#41—671no—
1051C22×#41—671no—
1052C23×D4—671no—
1053C23×D4—671no—
1054C24×C4—671no—
1055#563—6716no—
1056#562—6716no—
1057#562C2×D67116yescomplemented
1058#560—6716no—
1059#559—6716no—
1060#553—6716no—
1061#553—6716no—
1062#552—6716no—
1063#552—6716no—
1064#551—6716no—
1065#551—6716no—
1066#551—6716no—
1067#547—6716no—
1068#547—6716no—
1069#546—6716no—
1070#546—6716no—
1071#542—6716no—
1072#542—6716no—
1073#540—6716no—
1074#540—6716no—
1075#539—6716no—
1076#539—6716no—
1077#538—6716no—
1078#538—6716no—
1079#538—6716no—
1080#538—6716no—
1081#535—6716no—
1082#534—6716no—
1083C2×C4⋊Q8—671no—
1084C2×C4⋊Q8—671no—
1085C2×#127—671no—
1086C2×#127—671no—
1087C2×#126—671no—
1088C2×#126—671no—
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×#125—671no—
1100C2×#125—671no—
1101C2×#125—671no—
1102C2×#125—671no—
1103C2×#125—671no—
1104C2×#125C2×D6711yescharacteristic, complemented
1105C2×#124—671no—
1106C2×#124—671no—
1107C2×#124—671no—
1108C2×#124—671no—
1109C2×#124—671no—
1110C2×#124—671no—
1111C2×#124—671no—
1112C2×#124—671no—
1113C2×#124C2×D6711yescharacteristic, complemented
1114C2×#124C2×D6711yescharacteristic, complemented
1115#525—6716no—
1116#525—6716no—
1117C2×#123—671no—
1118C2×#123—671no—
1119C2×#123—671no—
1120C2×#123—6716no—
1121C2×#123—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×#123—671no—
1143C2×#123—671no—
1144C2×#123C2×D6711yescharacteristic, complemented
1145C2×#123C2×D6711yescharacteristic, complemented
1146C2×#123C2×D6711yescharacteristic, complemented
1147C2×#123C2×D6711yescharacteristic, complemented
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⋊Q8—671no—
1160C2×C22⋊Q8C2×D6711yescharacteristic, complemented
1161C2×C22⋊Q8C2×D6711yescharacteristic, complemented
1162C2×C22⋊Q8C2×D6711yescharacteristic, complemented
1163C2×C22⋊Q8C2×D6711yescharacteristic, complemented
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×#121C2×D6711yescharacteristic
1185C2×#121C2×D6711yescharacteristic, complemented
1186C2×#121C2×D6711yescharacteristic, complemented
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×Q8—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×D4—671no—
1217C2×C4×D4—671no—
1218C2×#117—671no—
1219C2×#117—671no—
1220C2×#117—671no—
1221C2×#117—671no—
1222C2×#117—671no—
1223C2×#117—671no—
1224C2×#117—671no—
1225C22×C4⋊C4—671no—
1226C22×C4⋊C4—671no—
1227C22×C4⋊C4—671no—
1228C22×C4⋊C4—671no—
1229C22×C22⋊C4—671no—
1230C22×C22⋊C4—671no—
1231C22×C22⋊C4—671no—
1232C22×C22⋊C4—671no—
1233C22×C22⋊C4—671no—
1234C22×C22⋊C4—671no—
1235C25—671no—
1236C25—671no—
1237C25—671no—
1238C2×#41—2684no—
1239C2×#41—2684no—
1240C2×#41—2684no—
1241C2×#41—678no—
1242C2×#41—678no—
1243C2×#41—678no—
1244C22×Q8—671no—
1245C22×Q8—671no—
1246C22×Q8—671no—
1247C22×Q8C22×D6711yescharacteristic
1248C22×Q8C22×D6711yescharacteristic
1249C22×D4—2684no—
1250C22×D4—2684no—
1251C22×D4—671no—
1252C22×D4—671no—
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—678no—
1264C22×D4—678no—
1265C22×D4—671no—
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×D4C22×D6711yescharacteristic
1275C22×D4C22×D6711yescharacteristic
1276C22×D4C22×D6711yescharacteristic
1277C22×D4C22×D6711yescharacteristic
1278C22×D4C22×D6711yescharacteristic
1279C22×D4C22×D6711yescharacteristic
1280C23×C4—2684no—
1281C23×C4—671no—
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×C4—678no—
1297C23×C4—671no—
1298C23×C4—671no—
1299C23×C4—671no—
1300C23×C4C22×D6711yescharacteristic
1301C23×C4C22×D6711yescharacteristic
1302C23×C4C22×D6711yescharacteristic
1303C23×C4C22×D6711yescharacteristic
1304C4⋊Q8—678no—
1305C4⋊Q8—678no—
1306#127—678no—
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#125—678no—
1321#125—678no—
1322#125—678no—
1323#125—678no—
1324#125—678no—
1325#125C22×D6718yescomplemented
1326#124—678no—
1327#124—678no—
1328#124—678no—
1329#124—678no—
1330#124—678no—
1331#124—678no—
1332#124—678no—
1333#124—678no—
1334#124C22×D6718yescomplemented
1335#124C22×D6718yescomplemented
1336#123—678no—
1337#123—678no—
1338#123—678no—
1339#123—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#123—678no—
1361#123—678no—
1362#123C22×D6718yescomplemented
1363#123C22×D6718yescomplemented
1364#123C22×D6718yescomplemented
1365#123C22×D6718yescomplemented
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⋊Q8—678no—
1378C22⋊Q8C22×D6718yescomplemented
1379C22⋊Q8C22×D6718yescomplemented
1380C22⋊Q8C22×D6718yescomplemented
1381C22⋊Q8C22×D6718yescomplemented
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#121C22×D6718yes—
1403#121C22×D6718yescomplemented
1404#121C22×D6718yescomplemented
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×Q8—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×D4—678no—
1435C4×D4—678no—
1436#117—678no—
1437#117—678no—
1438#117—678no—
1439#117—678no—
1440#117—678no—
1441#117—678no—
1442#117—678no—
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—671no—
1452C2×C4⋊C4—671no—
1453C2×C4⋊C4—671no—
1454C2×C4⋊C4—678no—
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—671no—
1471C2×C4⋊C4—671no—
1472C2×C4⋊C4—678no—
1473C2×C4⋊C4—678no—
1474C2×C4⋊C4—678no—
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×D6711yescharacteristic
1482C2×C4⋊C4C22×D6711yescharacteristic
1483C2×C4⋊C4C22×D6711yescharacteristic
1484C2×C4⋊C4C22×D6711yescharacteristic
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—678no—
1510C2×C22⋊C4—678no—
1511C2×C22⋊C4—671no—
1512C2×C22⋊C4—671no—
1513C2×C22⋊C4—671no—
1514C2×C22⋊C4—671no—
1515C2×C22⋊C4—671no—
1516C2×C22⋊C4—671no—
1517C2×C22⋊C4—671no—
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—678no—
1526C2×C22⋊C4—678no—
1527C2×C22⋊C4—678no—
1528C2×C22⋊C4—678no—
1529C2×C22⋊C4C22×D6711yescharacteristic
1530C2×C22⋊C4C22×D6711yescharacteristic
1531C2×C22⋊C4C22×D6711yescharacteristic
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×C22⋊C4C22×D6711yescharacteristic
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—671no—
1550C2×C42C22×D6711yescharacteristic
1551C24—2682no—
1552C24—2682no—
1553C24—2682no—
1554C24—2682no—
1555C24—2682no—
1556C24—2682no—
1557C24—2682no—
1558C24—674no—
1559C24—674no—
1560C24—674no—
1561C24—671no—
1562C24—671no—
1563C24—671no—
1564C24—671no—
1565C24—671no—
1566C24—1344no—
1567C24—1344no—
1568C24C23×D6711yescharacteristic
1569C24C23×D6711yescharacteristic
1570C24C23×D6711yescharacteristic
1571C24C23×D6711yescharacteristic
1572#41—26816no—
1573#41—26816no—
1574#41—26816no—
1575C2×Q8—42no—
1576C2×Q8—42no—
1577C2×Q8—2682no—
1578C2×Q8—2682no—
1579C2×Q8—2682no—
1580C2×Q8—674no—
1581C2×Q8—674no—
1582C2×Q8—674no—
1583C2×Q8C23×D6714yes—
1584C2×Q8C23×D6714yes—
1585C2×D4—42no—
1586C2×D4—42no—
1587C2×D4—42no—
1588C2×D4—42no—
1589C2×D4—42no—
1590C2×D4—42no—
1591C2×D4—2682no—
1592C2×D4—2682no—
1593C2×D4—2682no—
1594C2×D4—2682no—
1595C2×D4—2682no—
1596C2×D4—26816no—
1597C2×D4—26816no—
1598C2×D4—2682no—
1599C2×D4—2682no—
1600C2×D4—2682no—
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—674no—
1611C2×D4—674no—
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—1344no—
1632C2×D4—1344no—
1633C2×D4—1344no—
1634C2×D4—1344no—
1635C2×D4C23×D6714yes—
1636C2×D4C23×D6714yes—
1637C2×D4C23×D6714yes—
1638C2×D4C23×D6714yes—
1639C2×D4C23×D6714yes—
1640C2×D4C23×D6714yes—
1641C22×C4—42no—
1642C22×C4—42no—
1643C22×C4—42no—
1644C22×C4—42no—
1645C22×C4—2682no—
1646C22×C4—2682no—
1647C22×C4—2682no—
1648C22×C4—2682no—
1649C22×C4—2682no—
1650C22×C4—2682no—
1651C22×C4—2682no—
1652C22×C4—2682no—
1653C22×C4—2682no—
1654C22×C4—2682no—
1655C22×C4—26816no—
1656C22×C4—2682no—
1657C22×C4—2682no—
1658C22×C4—2682no—
1659C22×C4—2682no—
1660C22×C4—2682no—
1661C22×C4—674no—
1662C22×C4—674no—
1663C22×C4—674no—
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—671no—
1677C22×C4—671no—
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—674no—
1688C22×C4—674no—
1689C22×C4—674no—
1690C22×C4—1344no—
1691C22×C4—1344no—
1692C22×C4—1344no—
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×D6711yescharacteristic
1703C22×C4C23×D6711yescharacteristic
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⋊C4C23×D6714yes—
1785C22⋊C4C23×D6714yes—
1786C22⋊C4C23×D6714yes—
1787C22⋊C4C23×D6714yes—
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—22no—
1818C23—2684no—
1819C23—2684no—
1820C23—2684no—
1821C23—2684no—
1822C23—2684no—
1823C23—2684no—
1824C23—2684no—
1825C23—26816no—
1826C23—5368no—
1827C23—5368no—
1828C23—674no—
1829C23—672no—
1830C23—672no—
1831C23—672no—
1832C23—672no—
1833C23—672no—
1834C23—1348no—
1835C23—1348no—
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—1342no—
1849C23—1342no—
1850C23C24×D6712yes—
1851C23C24×D6712yes—
1852C23C24×D6712yes—
1853C23C24×D6712yes—
1854C23C24×D6711yescharacteristic
1855Q8—44no—
1856Q8—44no—
1857Q8—2684no—
1858Q8—2684no—
1859Q8—2684no—
1860D4—44no—
1861D4—44no—
1862D4—44no—
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—1348no—
1884D4—1348no—
1885D4—1348no—
1886D4—1348no—
1887C2×C4—22no—
1888C2×C4—22no—
1889C2×C4—22no—
1890C2×C4—22no—
1891C2×C4—22no—
1892C2×C4—22no—
1893C2×C4—22no—
1894C2×C4—22no—
1895C2×C4—22no—
1896C2×C4—22no—
1897C2×C4—22no—
1898C2×C4—44no—
1899C2×C4—44no—
1900C2×C4—44no—
1901C2×C4—44no—
1902C2×C4—2684no—
1903C2×C4—2684no—
1904C2×C4—2684no—
1905C2×C4—2684no—
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—672no—
1918C2×C4—672no—
1919C2×C4—672no—
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—1348no—
1929C2×C4—1348no—
1930C2×C4—1348no—
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—22no—
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—44no—
1969C22—26816no—
1970C22—2684no—
1971C22—2684no—
1972C22—2684no—
1973C22—2684no—
1974C22—5368no—
1975C22—5368no—
1976C22—674no—
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—1348no—
1990C22—1342no—
1991C22—1342no—
1992C22H(5,𝔽2)×D6712yes—
1993C22#1686423112yes—
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—42no—
2019C2—42no—
2020C2—42no—
2021C2—42no—
2022C2—2682no—
2023C2—2682no—
2024C2—2682no—
2025C2—2682no—
2026C2—1344no—
2027C2#2257437114yesdirect product factor
2028C2C2×H(5,𝔽2)×D6711yescharacteristic
2029C2C2×#1686423111yescharacteristic
2030C2C2×#1686423311yescharacteristic
subgroupG/H
centerC23C24×D67
commutator, cosocleC22×C67C26
FrattiniC22C25×D67
FittingC2×#562×C67C2
socleC23×C67C25
hypercenterC2×#562D67
hypocenterC67C2×#3533
LCSG ▷ C22×C67 ▷ C67
UCSC1 ◁ C23 ◁ C2×#562

Complements

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

NH ≅ G/Ntype
1. #22574371C2direct (N × H)
2. C2×#16864147C2semidirect
3. C2×#16864143C2semidirect
4. C2×#16864134C2semidirect
5. C2×#16864128C2semidirect
6. C2×#16864093C2semidirect
7. C2×#16864089C2semidirect
8. C2×#16864084C2semidirect
9. C2×#16864080C2semidirect
10. C2×#16864073C2semidirect
11. C2×#16864069C2semidirect
12. C2×#16864069C2semidirect
13. C2×#16864048C2semidirect
14. C2×#16864044C2semidirect
15. C2×#16864039C2semidirect
16. C2×#16864035C2semidirect
17. C2×#16864019C2semidirect
18. C2×#16864010C2semidirect
19. C2×#16863999C2semidirect
20. C2×#16863998C2semidirect
21. C2×#16863995C2semidirect
22. C2×#16863994C2semidirect
23. C2×#16863986C2semidirect
24. C2×#16863982C2semidirect
25. C2×#16863982C2semidirect
26. C2×#16863980C2semidirect
27. C2×#16863962C2semidirect
28. C2×#16863954C2semidirect
29. C2×#16863909C2semidirect
30. C2×#16863906C2semidirect
31. C2×#123×D67C2semidirect
32. C2×#562×C67C2semidirect
34. C22×#11761628C22semidirect
38. C23×C4×D67C22semidirect
39. #16864147C22semidirect
40. #16864143C22semidirect
41. #16864134C22semidirect
42. #16864128C22semidirect
43. #16864093C22semidirect
44. #16864089C22semidirect
45. #16864084C22semidirect
46. #16864080C22semidirect
47. #16864073C22semidirect
48. #16864069C22semidirect
49. #16864069C22semidirect
50. #16864048C22semidirect
51. #16864044C22semidirect
52. #16864039C22semidirect
53. #16864035C22semidirect
54. #16864019C22semidirect
55. #16864010C22semidirect
56. #16863999C22semidirect
57. #16863998C22semidirect
58. #16863995C22semidirect
59. #16863994C22semidirect
60. #16863986C22semidirect
61. #16863982C22semidirect
62. #16863982C22semidirect
63. #16863980C22semidirect
64. #16863962C22semidirect
65. #16863954C22semidirect
66. C2×#14524042C22semidirect
67. C2×#14524041C22semidirect
69. C2×#14524039C22semidirect
70. C2×#14524038C22semidirect
71. C2×#14524038C22semidirect
72. C2×#14524038C22semidirect
73. C2×#14524038C22semidirect
74. C2×#14524038C22semidirect
75. C2×#14524038C22semidirect
76. C2×#14524038C22semidirect
77. C2×#14524037C22semidirect
78. C2×#14524036C22semidirect
79. C2×#14524036C22semidirect
80. C2×#14524036C22semidirect
81. C2×#14524036C22semidirect
82. C2×#14524034C22semidirect
83. C2×#14524034C22semidirect
84. C2×#14524034C22semidirect
85. C2×#14524033C22semidirect
86. C2×#14524033C22semidirect
87. C2×#14524032C22semidirect
88. C2×#14524032C22semidirect
90. C2×#14524029C22semidirect
91. C2×#14524029C22semidirect
92. C2×#14524029C22semidirect
93. C2×#14524029C22semidirect
94. C2×#14524029C22semidirect
95. #16863909C22semidirect
96. #16863906C22semidirect
102. C2×#14524028C22semidirect
103. C2×#14524028C22semidirect
104. C2×#14524028C22semidirect
105. C2×#14524028C22semidirect
107. C2×#14524027C22semidirect
108. C2×#14524027C22semidirect
109. C2×#14524027C22semidirect
110. C2×#14524027C22semidirect
115. C2×#14524025C22semidirect
116. C2×#14524025C22semidirect
117. C2×#14524025C22semidirect
118. C2×#14524025C22semidirect
119. C2×#14524025C22semidirect
120. C2×#14524025C22semidirect
121. C2×#14524024C22semidirect
122. C2×#14524024C22semidirect
123. #123×D67C22semidirect
124. C2×#14524023C22semidirect
125. C2×#14524023C22semidirect
126. C2×#14524023C22semidirect
127. C2×#14524023C22semidirect
128. C2×#14524022C22semidirect
129. C2×#14524021C22semidirect
130. C2×#14524021C22semidirect
131. C2×#14524020C22semidirect
132. C2×#14524020C22semidirect
133. C2×#14524019C22semidirect
134. C2×#14524019C22semidirect
135. C2×#14524019C22semidirect
137. C2×#14524018C22semidirect
140. C2×#14524017C22semidirect
141. C2×#14524017C22semidirect
144. C2×#14524016C22semidirect
145. C2×#14524016C22semidirect
146. C2×#14524016C22semidirect
149. C2×#14524015C22semidirect
150. C2×#14524015C22semidirect
151. C2×#14524015C22semidirect
152. C2×#14524014C22semidirect
153. C2×#14524014C22semidirect
154. C2×#14524014C22semidirect
155. C2×#14524014C22semidirect
159. C2×#14524013C22semidirect
160. C2×#14524013C22semidirect
164. C2×#14524011C22semidirect
165. C2×#14524011C22semidirect
166. C2×Q8×Dic67C22semidirect
167. C2×C4×Dic134C22semidirect
169. C2×C4×D268C22semidirect
170. C2×D4×Dic67C22semidirect
171. C2×D4×Dic67C22semidirect
172. C2×D4×Dic67C22semidirect
173. C2×#14524005C22semidirect
174. C2×#14524005C22semidirect
175. C2×#14524005C22semidirect
177. C2×C4×C22⋊D67C22semidirect
178. C2×C4×C22⋊D67C22semidirect
179. C2×(C22⋊D67)⋊C4C22semidirect
180. C2×(C22⋊D67)⋊C4C22semidirect
181. C2×(C22⋊D67)⋊C4C22semidirect
182. C2×(C22⋊D67)⋊C4C22semidirect
183. C2×(C22⋊D67)⋊C4C22semidirect
184. C2×(C22⋊D67)⋊C4C22semidirect
185. C2×(C22⋊D67)⋊C4C22semidirect
186. C2×#14524002C22semidirect
187. C2×#14524002C22semidirect
188. C2×#14524001C22semidirect
189. C2×#14524001C22semidirect
190. C2×#14524001C22semidirect
191. C2×#14524001C22semidirect
192. C2×#14523999C22semidirect
193. C22×Dic67⋊C4C22semidirect
194. C2×C4⋊C4×D67C22semidirect
195. C2×C4⋊C4×D67C22semidirect
196. C2×C4⋊C4×D67C22semidirect
198. C22×(C2×D67)⋊C4C22semidirect
201. C2×C22⋊C4×D67C22semidirect
202. C2×C22⋊C4×D67C22semidirect
203. #562×C67C22semidirect
204. C2×#125×C67C22semidirect
205. C2×#124×C67C22semidirect
206. C2×#124×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
213. C2×C22⋊Q8×C67C22semidirect
214. C2×C22⋊Q8×C67C22semidirect
216. C2×#121×C67C22semidirect
217. C2×#121×C67C22semidirect
218. C2×#121×C67C22semidirect
225. C2×#11761628C23semidirect
275. C22×C4×D67C23semidirect
276. #14524042C23semidirect
277. #14524041C23semidirect
279. #14524039C23semidirect
280. #14524038C23semidirect
281. #14524038C23semidirect
282. #14524038C23semidirect
283. #14524038C23semidirect
284. #14524038C23semidirect
285. #14524038C23semidirect
286. #14524038C23semidirect
287. #14524037C23semidirect
288. #14524036C23semidirect
289. #14524036C23semidirect
290. #14524036C23semidirect
291. #14524036C23semidirect
292. #14524034C23semidirect
293. #14524034C23semidirect
294. #14524034C23semidirect
295. #14524033C23semidirect
296. #14524033C23semidirect
297. #14524032C23semidirect
298. #14524032C23semidirect
300. #14524029C23semidirect
301. #14524029C23semidirect
302. #14524029C23semidirect
303. #14524029C23semidirect
304. #14524029C23semidirect
310. #14524028C23semidirect
311. #14524028C23semidirect
312. #14524028C23semidirect
313. #14524028C23semidirect
315. #14524027C23semidirect
316. #14524027C23semidirect
317. #14524027C23semidirect
318. #14524027C23semidirect
323. #14524025C23semidirect
324. #14524025C23semidirect
325. #14524025C23semidirect
326. #14524025C23semidirect
327. #14524025C23semidirect
328. #14524025C23semidirect
329. #14524024C23semidirect
330. #14524024C23semidirect
331. #14524023C23semidirect
332. #14524023C23semidirect
333. #14524023C23semidirect
334. #14524023C23semidirect
335. #14524022C23semidirect
336. #14524021C23semidirect
337. #14524021C23semidirect
338. #14524020C23semidirect
339. #14524020C23semidirect
340. #14524019C23semidirect
341. #14524019C23semidirect
342. #14524019C23semidirect
344. #14524018C23semidirect
347. #14524017C23semidirect
348. #14524017C23semidirect
351. #14524016C23semidirect
352. #14524016C23semidirect
353. #14524016C23semidirect
356. #14524015C23semidirect
357. #14524015C23semidirect
358. #14524015C23semidirect
359. #14524014C23semidirect
360. #14524014C23semidirect
361. #14524014C23semidirect
362. #14524014C23semidirect
366. #14524013C23semidirect
367. #14524013C23semidirect
371. #14524011C23semidirect
372. #14524011C23semidirect
373. Q8×Dic67C23semidirect
374. C4×Dic134C23semidirect
376. C4×D268C23semidirect
377. D4×Dic67C23semidirect
378. D4×Dic67C23semidirect
379. D4×Dic67C23semidirect
380. #14524005C23semidirect
381. #14524005C23semidirect
382. #14524005C23semidirect
384. C4×C22⋊D67C23semidirect
385. C4×C22⋊D67C23semidirect
386. (C22⋊D67)⋊C4C23semidirect
387. (C22⋊D67)⋊C4C23semidirect
388. (C22⋊D67)⋊C4C23semidirect
389. (C22⋊D67)⋊C4C23semidirect
390. (C22⋊D67)⋊C4C23semidirect
391. (C22⋊D67)⋊C4C23semidirect
392. (C22⋊D67)⋊C4C23semidirect
393. #14524002C23semidirect
394. #14524002C23semidirect
395. #14524001C23semidirect
396. #14524001C23semidirect
397. #14524001C23semidirect
398. #14524001C23semidirect
399. #14523999C23semidirect
428. C2×Dic67⋊C4C23semidirect
429. C4⋊C4×D67C23semidirect
430. C4⋊C4×D67C23semidirect
431. C4⋊C4×D67C23semidirect
471. C2×(C2×D67)⋊C4C23semidirect
474. C22⋊C4×D67C23semidirect
475. C22⋊C4×D67C23semidirect
497. #125×C67C23semidirect
498. #124×C67C23semidirect
499. #124×C67C23semidirect
500. #123×C67C23semidirect
501. #123×C67C23semidirect
502. #123×C67C23semidirect
503. #123×C67C23semidirect
504. C22⋊Q8×C67C23semidirect
505. C22⋊Q8×C67C23semidirect
506. C22⋊Q8×C67C23semidirect
507. C22⋊Q8×C67C23semidirect
509. #121×C67C23semidirect
510. #121×C67C23semidirect
511. #121×C67C23semidirect
1007. C2×C67#3533semidirect
1019. C2×#562D67semidirect
1048. C67C2×#3533semidirect
1057. #562C2×D67semidirect
1104. C2×#125C2×D67semidirect
1113. C2×#124C2×D67semidirect
1114. C2×#124C2×D67semidirect
1144. C2×#123C2×D67semidirect
1145. C2×#123C2×D67semidirect
1146. C2×#123C2×D67semidirect
1147. C2×#123C2×D67semidirect
1160. C2×C22⋊Q8C2×D67semidirect
1161. C2×C22⋊Q8C2×D67semidirect
1162. C2×C22⋊Q8C2×D67semidirect
1163. C2×C22⋊Q8C2×D67semidirect
1185. C2×#121C2×D67semidirect
1186. C2×#121C2×D67semidirect
1187. C2×#121C2×D67semidirect
1325. #125C22×D67semidirect
1334. #124C22×D67semidirect
1335. #124C22×D67semidirect
1362. #123C22×D67semidirect
1363. #123C22×D67semidirect
1364. #123C22×D67semidirect
1365. #123C22×D67semidirect
1378. C22⋊Q8C22×D67semidirect
1379. C22⋊Q8C22×D67semidirect
1380. C22⋊Q8C22×D67semidirect
1381. C22⋊Q8C22×D67semidirect
1403. #121C22×D67semidirect
1404. #121C22×D67semidirect
1405. #121C22×D67semidirect
2027. C2#22574371direct (N × H)

Maximal subgroups

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

subgroupindex
#225743712
C2×#168641472
C2×#168641432
C2×#168641342
C2×#168641282
C2×#168640932
C2×#168640892
C2×#168640842
C2×#168640802
C2×#168640732
C2×#168640692
C2×#168640482
C2×#168640442
C2×#168640392
C2×#168640352
C2×#168640192
C2×#168640102
C2×#168639992
C2×#168639982
C2×#168639952
C2×#168639942
C2×#168639862
C2×#168639822
C2×#168639802
C2×#168639622
C2×#168639542
C2×#168639092
C2×#168639062
C2×#123×D672
C2×#562×C672
C2×#353367