Finite Group Databasebeta

← #31740237

Subgroups — #31740237

Order 17152.

1850 conjugacy classes of subgroups.

The subgroup lattice has 1730 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22574153C211yesmaximal, characteristic, complemented
2#22573205C211yesmaximal, characteristic, complemented
3#22573072C211yesmaximal, characteristic, complemented
4#22573030C211yesmaximal, characteristic, complemented
5#22572962C211yesmaximal, characteristic, complemented
6#22572787C211yesmaximal, characteristic, complemented
7#22572769C211yesmaximal, characteristic, complemented
8#22572763C211yesmaximal, characteristic, complemented
9#22572344C211yesmaximal, characteristic, complemented
10#22572305C211yesmaximal, characteristic, complemented
11#22572239C211yesmaximal, characteristic, complemented
12#22572170C211yesmaximal, characteristic, complemented
13#22572059C211yesmaximal, characteristic, complemented
14#22572038C211yesmaximal, characteristic, complemented
15#22571816C211yesmaximal, characteristic, complemented
16#22571816C211yesmaximal, characteristic, complemented
17#22571809C211yesmaximal, characteristic, complemented
18#22570932C211yesmaximal, characteristic, complemented
19#22570842C211yesmaximal, characteristic, complemented
20#22570838C211yesmaximal, characteristic, complemented
21#22570486C211yesmaximal, characteristic, complemented
22#22570452C211yesmaximal, characteristic, complemented
23#22570417C211yesmaximal, characteristic, complemented
24#22570387C211yesmaximal, characteristic, complemented
25#22570252C211yesmaximal, characteristic, complemented
26#22570227C211yesmaximal, characteristic, complemented
27#22569214C211yesmaximal, characteristic, complemented
28#22569041C211yesmaximal, characteristic, complemented
29#22569037C211yesmaximal, characteristic, complemented
30C4×#14524068C211yesmaximal, characteristic, complemented
31C67×#3521C211yesmaximal, characteristic, complemented
32C2×#14524069C2211yescharacteristic
33C2×#14524068C2211yescharacteristic
34C2×#14524068C2211yescharacteristic
35#16864131C2211yescharacteristic, complemented
36#16864106C2211yescharacteristic, complemented
37#16864097—21no—
38#16864092C2211yescharacteristic
39#16864086C2211yescharacteristic, complemented
40#16864073—21no—
41#16864071—21no—
42#16864050C2211yescharacteristic
43#16864042C2211yescharacteristic
44#16864042C2211yescharacteristic
45#16864035—21no—
46D4×D268C2211yescharacteristic, complemented
47#16864017C2211yescharacteristic, complemented
48#16864001C2211yescharacteristic
49#16863994—21no—
50#16863980—21no—
51#16863930C2211yescharacteristic, complemented
52#16863904—21no—
53#123×D67—21no—
54#16863876C2211yescharacteristic
55#16863870C2211yescharacteristic, complemented
56C2×C4×D268C2211yescharacteristic, complemented
57#16863799C2211yescharacteristic, complemented
58#16863795C2211yescharacteristic, complemented
59#16863795C2211yescharacteristic, complemented
60#16863778C2211yescharacteristic, complemented
61#16863778C2211yescharacteristic, complemented
62#16863770C2211yescharacteristic, complemented
63#16863764C2211yescharacteristic, complemented
64#16863762C2211yescharacteristic, complemented
65#16863758C2211yescharacteristic, complemented
66#16863755C2211yescharacteristic, complemented
67#16863753C2211yescharacteristic, complemented
68#16863750C2211yescharacteristic, complemented
69#16863737C2211yescharacteristic, complemented
70#16863734C2211yescharacteristic, complemented
71#16863729C2211yescharacteristic, complemented
72#16863729C2211yescharacteristic, complemented
73#16863726C2211yescharacteristic, complemented
74#16863724C2211yescharacteristic, complemented
75#16863720C2211yescharacteristic, complemented
76#16863720C2211yescharacteristic, complemented
77#16863720C2211yescharacteristic, complemented
78#16863717C2211yescharacteristic, complemented
79#16863714C2211yescharacteristic, complemented
80#16863712C2211yescharacteristic, complemented
81#16863703C2211yescharacteristic, complemented
82#16863700C2211yescharacteristic, complemented
83#16863696C2211yescharacteristic, complemented
84#16863696C2211yescharacteristic, complemented
85#16863696C2211yescharacteristic, complemented
86#16863693C2211yescharacteristic, complemented
87#16863693C2211yescharacteristic, complemented
88#16863693C2211yescharacteristic, complemented
89#16863686C2211yescharacteristic, complemented
90#16863683C2211yescharacteristic, complemented
91#16863681C2211yescharacteristic, complemented
92#16863673C2211yescharacteristic, complemented
93#16863652C2211yescharacteristic, complemented
94#16863647C2211yescharacteristic
95#16863644C2211yescharacteristic, complemented
96#16863644C2211yescharacteristic, complemented
97#16863644C2211yescharacteristic, complemented
98#16863644C2211yescharacteristic, complemented
99#16863640C2211yescharacteristic, complemented
100#16863640C2211yescharacteristic, complemented
101#16863635C2211yescharacteristic, complemented
102#16863630C2211yescharacteristic
103#16863627C2211yescharacteristic, complemented
104#16863627C2211yescharacteristic, complemented
105#16863618C2211yescharacteristic, complemented
106#16863618C2211yescharacteristic, complemented
107#16863611C2211yescharacteristic, complemented
108#16863611C2211yescharacteristic, complemented
109#16863608C2211yescharacteristic
110#16863608C2211yescharacteristic
111#16863608C2211yescharacteristic, complemented
112#16863608C2211yescharacteristic, complemented
113#16863603C2211yescharacteristic, complemented
114#16863598C2211yescharacteristic, complemented
115#16863591C2211yescharacteristic
116#16863591C2211yescharacteristic
117#16863558C2211yescharacteristic, complemented
118#16863558C2211yescharacteristic, complemented
119#16863556C2211yescharacteristic
120#16863556C2211yescharacteristic
121#16863546C2211yescharacteristic, complemented
122#16863546C2211yescharacteristic, complemented
123#16863541C2211yescharacteristic
124#16863541C2211yescharacteristic
125#16863530C2211yescharacteristic, complemented
126#16863530C2211yescharacteristic, complemented
127#16863529C2211yescharacteristic
128#16863529C2211yescharacteristic
129#16863527C2211yescharacteristic, complemented
130Q8×C67⋊C8C2211yescharacteristic, complemented
131#16863506C2211yescharacteristic
132#16863506C2211yescharacteristic
133#16863506C2211yescharacteristic, complemented
134#16863506C2211yescharacteristic, complemented
135#16863506C2211yescharacteristic, complemented
136#16863501C2211yescharacteristic, complemented
137#16863496C2211yescharacteristic, complemented
138#16863496C2211yescharacteristic, complemented
139#16863494C2211yescharacteristic, complemented
140#16863494C2211yescharacteristic, complemented
141#16863494C2211yescharacteristic, complemented
142#16863494C2211yescharacteristic, complemented
143C4×#11761618C2211yescharacteristic, complemented
144C4×#11761615C2211yescharacteristic, complemented
145C4×#11761615C2211yescharacteristic, complemented
146C4×#11761615C2211yescharacteristic, complemented
147C4×#11761615C2211yescharacteristic, complemented
148C4×#11761615C2211yescharacteristic, complemented
149C4×#11761615C2211yescharacteristic, complemented
150C4×#11761616C2211yescharacteristic, complemented
151C4×#11761616C2211yescharacteristic, complemented
152C4×#11761613C2211yescharacteristic
153C4×#11761613C2211yescharacteristic
154C4×#11761613C2211yescharacteristic
155C4×#11761613C2211yescharacteristic
156C4×#11761613C2211yescharacteristic, complemented
157C4×#11761613C2211yescharacteristic, complemented
158C4×#11761613C2211yescharacteristic, complemented
159#16863474C2211yescharacteristic, complemented
160#16863474C2211yescharacteristic, complemented
161#16863474C2211yescharacteristic, complemented
162#16863468C2211yescharacteristic, complemented
163#16863468C2211yescharacteristic, complemented
164D4×C67⋊C8C2211yescharacteristic, complemented
165#16863457C2211yescharacteristic, complemented
166#16863457C2211yescharacteristic, complemented
167#16863449C2211yescharacteristic, complemented
168#16863439C2211yescharacteristic, complemented
169#16863439C2211yescharacteristic, complemented
170#16863436C2211yescharacteristic, complemented
171#16863400C2211yescharacteristic, complemented
172#16863397C2211yescharacteristic, complemented
173#16863392C2211yescharacteristic, complemented
174#16863390C2211yescharacteristic
175C2×#14523964C2211yescharacteristic, complemented
176C2×#14523963C2211yescharacteristic, complemented
177#16863352C2211yescharacteristic, complemented
178#16863352C2211yescharacteristic, complemented
179C4×#11761612C2211yescharacteristic, complemented
180#556×C67C2211yescharacteristic, complemented
181#556×C67C2211yescharacteristic, complemented
182#554×C67C2211yescharacteristic, complemented
183#553×C67—21no—
184#553×C67C2211yescharacteristic
185#552×C67—21no—
186#552×C67C2211yescharacteristic, complemented
187#551×C67—21no—
188#551×C67—21no—
189#547×C67C2211yescharacteristic
190#546×C67C2211yescharacteristic, complemented
191#546×C67C2211yescharacteristic, complemented
192#542×C67C2211yescharacteristic, complemented
193#541×C67C2211yescharacteristic, complemented
194#539×C67—21no—
195#538×C67—21no—
196#529×C67—21no—
197#529×C67C2211yescharacteristic
198#529×C67C2211yescharacteristic, complemented
199C2×#126×C67—21no—
200#520×C67C2211yescharacteristic, complemented
201#518×C67C2211yescharacteristic, complemented
202C4×#41×C67C2211yescharacteristic, complemented
203C2×#11761628C2311yescharacteristic
204C2×#11761627—21no—
205C22×D268C2311yescharacteristic
206C22×D268C2311yescharacteristic
207C2×D4×D67—21no—
208C22×C4×D67—21no—
209#14524069—24no—
210#14524068—24no—
211#14524068—24no—
212C2×#11761618C2311yescharacteristic
213C2×#11761618C2311yescharacteristic
214C2×#11761616C2311yescharacteristic
215C2×#11761616C2311yescharacteristic
216C2×#11761615C2311yescharacteristic
217C2×#11761615C2311yescharacteristic
218C2×#11761615C2311yescharacteristic
219C2×#11761615C2311yescharacteristic
220C2×#11761615C2311yescharacteristic
221C2×#11761615C2311yescharacteristic
222C2×#11761613C2311yescharacteristic
223C2×#11761613C2311yescharacteristic
224C2×#11761613C2311yescharacteristic
225C2×#11761613C2311yescharacteristic
226C2×#11761613C2311yescharacteristic
227C2×#11761613C2311yescharacteristic
228C2×#11761612C2311yescharacteristic
229C2×#11761612C2311yescharacteristic
230C2×#11761612C2311yescharacteristic
231C2×#11761612C2311yescharacteristic
232C22×C67⋊C8C2311yescharacteristic
233C22×C67⋊C8C2311yescharacteristic
234#14524043C2311yescharacteristic
235#14524040C2311yescharacteristic
236#14524038—21no—
237#14524038—21no—
238#14524037—21no—
239#14524036—21no—
240#14524035C2311yescharacteristic
241#14524035C2311yescharacteristic
242#14524033—21no—
243#14524032—21no—
244#14524031C2311yescharacteristic
245#14524031C2311yescharacteristic
246#14524029—21no—
247#14524028—21no—
248#14524028—21no—
249#14524028—21no—
250#14524028—21no—
251#14524028—21no—
252#14524028—21no—
253#14524027—21no—
254#14524027—21no—
255#14524026—21no—
256#14524025—21no—
257#14524025—21no—
258#14524024—21no—
259#14524023—21no—
260#14524022C2311yescharacteristic
261#14524022C2311yescharacteristic
262#14524021—21no—
263#14524021—21no—
264#14524021—21no—
265#14524019—21no—
266#14524018—21no—
267#14524017C2311yescharacteristic
268#14524017C2311yescharacteristic
269#14524017C2311yescharacteristic
270#14524017C2311yescharacteristic
271#14524016—21no—
272#14524016—21no—
273#14524016—21no—
274#14524016—21no—
275#14524015—21no—
276#14524013—21no—
277#14524013—21no—
278#14524011—21no—
279#14524011—21no—
280C4×Dic134C2311yescharacteristic
281C4×Dic134C2311yescharacteristic
282C4×D268—21no—
283C4×D268—21no—
284C4×D268C2311yescharacteristic
285C4×D268C2311yescharacteristic
286C4×D268C2311yescharacteristic
287C4×D268C2311yescharacteristic
288C4×D268C2311yescharacteristic
289C4×D268C2311yescharacteristic
290C4×D268C2311yescharacteristic
291C4×D268C2311yescharacteristic
292#14524005—21no—
293#14524005—21no—
294#14524005—21no—
295C4×C22⋊D67—21no—
296(C22⋊D67)⋊C4—21no—
297(C22⋊D67)⋊C4—21no—
298(C22⋊D67)⋊C4—21no—
299#14524002C2311yescharacteristic
300#14524001—21no—
301#14524000—21no—
302#14523999—21no—
303C2×C4⋊Dic67C2311yescharacteristic
304C2×C4⋊Dic67C2311yescharacteristic
305C4⋊C4×D67—21no—
306C4⋊C4×D67—21no—
307C2×(C2×D67)⋊C4—21no—
308C22⋊C4×D67—21no—
309C22⋊C4×D67—21no—
310C22⋊C4×D67—21no—
311C22⋊C4×D67—21no—
312#14523976C2311yescharacteristic
313#14523976C2311yescharacteristic
314#14523976C2311yescharacteristic
315#14523976C2311yescharacteristic
316#14523976C2311yescharacteristic
317#14523976C2311yescharacteristic
318#14523976C2311yescharacteristic
319#14523976C2311yescharacteristic
320#14523974C2311yescharacteristic
321#14523974C2311yescharacteristic
322#14523974C2311yescharacteristic
323#14523974C2311yescharacteristic
324#14523974C2311yescharacteristic
325#14523974C2311yescharacteristic
326#14523974C2311yescharacteristic
327#14523974C2311yescharacteristic
328C4⋊(C67⋊C8)C2311yescharacteristic
329C4⋊(C67⋊C8)C2311yescharacteristic
330C4⋊(C67⋊C8)C2311yescharacteristic
331C4⋊(C67⋊C8)C2311yescharacteristic
332C4⋊(C67⋊C8)C2311yescharacteristic
333C4⋊(C67⋊C8)C2311yescharacteristic
334#14523967C2311yescharacteristic
335#14523967C2311yescharacteristic
336#14523967C2311yescharacteristic
337#14523967C2311yescharacteristic
338#14523967C2311yescharacteristic
339#14523967C2311yescharacteristic
340#14523967C2311yescharacteristic
341#14523967C2311yescharacteristic
342#14523966C2311yescharacteristic
343#14523966C2311yescharacteristic
344#14523966C2311yescharacteristic
345#14523966C2311yescharacteristic
346#14523964C2311yescharacteristic
347#14523964C2311yescharacteristic
348#14523964C2311yescharacteristic
349#14523964C2311yescharacteristic
350#14523964C2311yescharacteristic
351#14523964C2311yescharacteristic
352#14523964C2311yescharacteristic
353#14523964C2311yescharacteristic
354#14523963C2311yescharacteristic
355#14523963C2311yescharacteristic
356#14523963C2311yescharacteristic
357#14523963C2311yescharacteristic
358#14523963C2311yescharacteristic
359#14523963C2311yescharacteristic
360#14523963C2311yescharacteristic
361#14523963C2311yescharacteristic
362#14523963C2311yescharacteristic
363#14523963C2311yescharacteristic
364#14523963C2311yescharacteristic
365#14523963C2311yescharacteristic
366C22⋊(C67⋊C8)C2311yescharacteristic
367C22⋊(C67⋊C8)C2311yescharacteristic
368C22⋊(C67⋊C8)C2311yescharacteristic
369C22⋊(C67⋊C8)C2311yescharacteristic
370C22⋊(C67⋊C8)C2311yescharacteristic
371C22⋊(C67⋊C8)C2311yescharacteristic
372#14523954C2311yescharacteristic
373#14523954C2311yescharacteristic
374#14523954C2311yescharacteristic
375#14523954C2311yescharacteristic
376C4×C67⋊C8C2311yescharacteristic
377C4×C67⋊C8C2311yescharacteristic
378C4×C67⋊C8C2311yescharacteristic
379C4×C67⋊C8C2311yescharacteristic
380C4×C67⋊C8C2311yescharacteristic
381C4×C67⋊C8C2311yescharacteristic
382C2×#41×C67C2311yescharacteristic
383C2×#41×C67C2311yescharacteristic
384C22×D4×C67C2311yescharacteristic
385C4⋊Q8×C67C2311yescharacteristic
386C4⋊Q8×C67C2311yescharacteristic
387#126×C67—21no—
388#126×C67—21no—
389#126×C67—21no—
390#126×C67—21no—
391#126×C67—21no—
392#126×C67—21no—
393#126×C67—21no—
394#126×C67—21no—
395#126×C67—21no—
396#126×C67—21no—
397#126×C67D411yescharacteristic
398#126×C67D411yescharacteristic
399#125×C67—21no—
400#125×C67—21no—
401#125×C67—21no—
402#125×C67D411yescharacteristic
403#125×C67C2311yescharacteristic
404#125×C67C2311yescharacteristic
405#124×C67—21no—
406#124×C67—21no—
407#124×C67D411yescharacteristic
408#124×C67C2311yescharacteristic
409#124×C67C2311yescharacteristic
410#123×C67—21no—
411#123×C67—21no—
412#123×C67—21no—
413#123×C67—21no—
414#123×C67—21no—
415#123×C67—21no—
416#123×C67—21no—
417#123×C67—21no—
418#123×C67D411yescharacteristic
419#123×C67D411yescharacteristic
420C22⋊Q8×C67—21no—
421C22⋊Q8×C67—21no—
422C22⋊Q8×C67—21no—
423C22⋊Q8×C67—21no—
424C22⋊Q8×C67—21no—
425C22⋊Q8×C67D411yescharacteristic
426C22⋊Q8×C67C2311yescharacteristic
427C22⋊Q8×C67C2311yescharacteristic
428C22⋊Q8×C67C2311yescharacteristic
429C22⋊Q8×C67C2311yescharacteristic
430#121×C67—21no—
431#121×C67—21no—
432#121×C67—21no—
433#121×C67—21no—
434#121×C67D411yescharacteristic
435#121×C67C2311yescharacteristic
436#121×C67C2311yescharacteristic
437#120×C67—21no—
438#120×C67—21no—
439C4×Q8×C67—21no—
440C4×Q8×C67C2311yescharacteristic
441C4×Q8×C67C2311yescharacteristic
442C4×Q8×C67C2311yescharacteristic
443C4×Q8×C67C2311yescharacteristic
444C4×Q8×C67C2311yescharacteristic
445C4×D4×C67—21no—
446C4×D4×C67—21no—
447C4×D4×C67—21no—
448C4×D4×C67—21no—
449C4×D4×C67—21no—
450C4×D4×C67—21no—
451C4×D4×C67—21no—
452C4×D4×C67—21no—
453C4×D4×C67C2311yescharacteristic
454C4×D4×C67C2311yescharacteristic
455C4×D4×C67C2311yescharacteristic
456C4×D4×C67C2311yescharacteristic
457C4×D4×C67C2311yescharacteristic
458C4×D4×C67C2311yescharacteristic
459C4×D4×C67C2311yescharacteristic
460C4×D4×C67C2311yescharacteristic
461C4×D4×C67C2311yescharacteristic
462#117×C67—21no—
463#117×C67—21no—
464#117×C67—21no—
465#117×C67—21no—
466#117×C67—21no—
467#117×C67C2311yescharacteristic
468#117×C67C2311yescharacteristic
469#117×C67C2311yescharacteristic
470#117×C67C2311yescharacteristic
471C2×C4⋊C4×C67—21no—
472C2×C4⋊C4×C67—21no—
473C2×C4⋊C4×C67—21no—
474C2×C4⋊C4×C67C2311yescharacteristic
475C2×C22⋊C4×C67—21no—
476C2×C22⋊C4×C67—21no—
477C2×C22⋊C4×C67—21no—
478C2×C22⋊C4×C67—21no—
479C2×C42×C67—21no—
480C2×C42×C67C2311yescharacteristic
481C23×D67—21no—
482C23×D67—21no—
483#11761628—22no—
484#11761628—41no—
485#11761627—82no—
486C2×Dic134—21no—
487C2×Dic134C2411yescharacteristic
488C2×D268—22no—
489C2×D268—22no—
490C2×D268—21no—
491C2×D268—21no—
492C2×D268—21no—
493C2×D268—21no—
494C2×D268—41no—
495C2×D268—41no—
496C2×D268C2411yescharacteristic
497C2×D268C2411yescharacteristic
498C2×D268C2411yescharacteristic
499C2×C22⋊D67—21no—
500C2×C22⋊D67—21no—
501C2×C22⋊D67—21no—
502C2×C22⋊D67—21no—
503C2×C22⋊D67—21no—
504D4×D67—82no—
505C22×Dic67—21no—
506C22×Dic67—21no—
507C2×C4×D67—21no—
508C2×C4×D67—21no—
509C2×C4×D67—21no—
510C2×C4×D67—21no—
511C2×C4×D67—21no—
512C2×C4×D67—21no—
513C2×C4×D67—21no—
514C2×C4×D67—21no—
515C2×C4×D67—21no—
516C2×C4×D67—82no—
517#11761618—41no—
518#11761618—41no—
519#11761616—22no—
520#11761616—22no—
521#11761615—22no—
522#11761615—22no—
523#11761615—22no—
524#11761615—22no—
525#11761615—41no—
526#11761615—41no—
527#11761613—22no—
528#11761613—22no—
529#11761613—22no—
530#11761613—41no—
531#11761613—41no—
532#11761613#4114yescomplemented
533#11761612—22no—
534#11761612—22no—
535#11761612—22no—
536#11761612—41no—
537C2×C67⋊C8—41no—
538C2×C67⋊C8—41no—
539C2×C67⋊C8C2411yescharacteristic
540C2×C67⋊C8C2411yescharacteristic
541C2×C67⋊C8C2411yescharacteristic
542C2×C67⋊C8C2411yescharacteristic
543C2×C67⋊C8C2411yescharacteristic
544C2×C67⋊C8C2411yescharacteristic
545C2×C67⋊C8C2411yescharacteristic
546C2×C67⋊C8C2411yescharacteristic
547C4⋊Dic67—21no—
548C4⋊Dic67—21no—
549C4⋊Dic67—21no—
550C4⋊Dic67C2411yescharacteristic
551C4⋊Dic67C2411yescharacteristic
552C4⋊Dic67C2411yescharacteristic
553C4⋊Dic67C2411yescharacteristic
554Dic67⋊C4—21no—
555Dic67⋊C4—21no—
556Dic67⋊C4—21no—
557Dic67⋊C4—21no—
558Dic67⋊C4—21no—
559Dic67⋊C4—21no—
560Dic67⋊C4—21no—
561Dic67⋊C4—21no—
562C22⋊Dic67—21no—
563C22⋊Dic67—21no—
564C22⋊Dic67—21no—
565(C2×D67)⋊C4—21no—
566(C2×D67)⋊C4—21no—
567(C2×D67)⋊C4—21no—
568(C2×D67)⋊C4—21no—
569(C2×D67)⋊C4—21no—
570(C2×D67)⋊C4—21no—
571(C2×D67)⋊C4—21no—
572(C2×D67)⋊C4—21no—
573(C2×D67)⋊C4—21no—
574(C2×D67)⋊C4—21no—
575(C2×D67)⋊C4—21no—
576(C2×D67)⋊C4—21no—
577(C2×D67)⋊C4—21no—
578(C2×D67)⋊C4—21no—
579(C2×D67)⋊C4—21no—
580(C2×D67)⋊C4—21no—
581C4×Dic67—21no—
582C4×Dic67—21no—
583C4×Dic67—21no—
584C24×C67—21no—
585#41×C67—22no—
586#41×C67—22no—
587#41×C67—41no—
588#41×C67—41no—
589C2×Q8×C67—21no—
590C2×Q8×C67C2×D411yescharacteristic
591C2×Q8×C67C2411yescharacteristic
592C2×Q8×C67C2411yescharacteristic
593C2×D4×C67—22no—
594C2×D4×C67—21no—
595C2×D4×C67—21no—
596C2×D4×C67—21no—
597C2×D4×C67—21no—
598C2×D4×C67—21no—
599C2×D4×C67—41no—
600C2×D4×C67C2×D411yescharacteristic
601C2×D4×C67C2×D411yescharacteristic
602C2×D4×C67C2×D411yescharacteristic
603C2×D4×C67C2411yescharacteristic
604C2×D4×C67C2411yescharacteristic
605C22×C4×C67—21no—
606C22×C4×C67—21no—
607C22×C4×C67—21no—
608C22×C4×C67—21no—
609C22×C4×C67—21no—
610C22×C4×C67—21no—
611C22×C4×C67—21no—
612C22×C4×C67—21no—
613C22×C4×C67—21no—
614C22×C4×C67C2×D411yescharacteristic
615C22×C4×C67C2×D411yescharacteristic
616C22×C4×C67C2411yescharacteristic
617C22×C4×C67C2411yescharacteristic
618C22×C4×C67C2411yescharacteristic
619C4⋊C4×C67—21no—
620C4⋊C4×C67—21no—
621C4⋊C4×C67—21no—
622C4⋊C4×C67—21no—
623C4⋊C4×C67—21no—
624C4⋊C4×C67—21no—
625C4⋊C4×C67—21no—
626C4⋊C4×C67—21no—
627C4⋊C4×C67—21no—
628C4⋊C4×C67—21no—
629C4⋊C4×C67—21no—
630C4⋊C4×C67—21no—
631C4⋊C4×C67—21no—
632C4⋊C4×C67—21no—
633C4⋊C4×C67—21no—
634C4⋊C4×C67—21no—
635C4⋊C4×C67C2×D411yescharacteristic
636C4⋊C4×C67C2×D411yescharacteristic
637C4⋊C4×C67C2×D411yescharacteristic
638C4⋊C4×C67C2×D411yescharacteristic
639C4⋊C4×C67C2×D411yescharacteristic
640C4⋊C4×C67C2×D411yescharacteristic
641C4⋊C4×C67C2×D411yescharacteristic
642C4⋊C4×C67C2×D411yescharacteristic
643C4⋊C4×C67C2×D411yescharacteristic
644C4⋊C4×C67C2×D411yescharacteristic
645C4⋊C4×C67C2411yescharacteristic
646C4⋊C4×C67C2411yescharacteristic
647C4⋊C4×C67C2411yescharacteristic
648C4⋊C4×C67C2411yescharacteristic
649C22⋊C4×C67—21no—
650C22⋊C4×C67—21no—
651C22⋊C4×C67—21no—
652C22⋊C4×C67—21no—
653C22⋊C4×C67—21no—
654C22⋊C4×C67—21no—
655C22⋊C4×C67—21no—
656C22⋊C4×C67—21no—
657C22⋊C4×C67—21no—
658C22⋊C4×C67—21no—
659C22⋊C4×C67—21no—
660C22⋊C4×C67—21no—
661C22⋊C4×C67—21no—
662C22⋊C4×C67—21no—
663C22⋊C4×C67—21no—
664C22⋊C4×C67—21no—
665C22⋊C4×C67—21no—
666C22⋊C4×C67—21no—
667C22⋊C4×C67C2×D411yescharacteristic
668C22⋊C4×C67C2×D411yescharacteristic
669C22⋊C4×C67C2×D411yescharacteristic
670C22⋊C4×C67C2×D411yescharacteristic
671C22⋊C4×C67C2×D411yescharacteristic
672C22⋊C4×C67C2×D411yescharacteristic
673C22⋊C4×C67C2×D411yescharacteristic
674C22⋊C4×C67C2×D411yescharacteristic
675C22⋊C4×C67C2×D411yescharacteristic
676C22⋊C4×C67C2×D411yescharacteristic
677C42×C67—21no—
678C42×C67—21no—
679C42×C67—21no—
680C42×C67—21no—
681C42×C67—21no—
682C42×C67—21no—
683C42×C67C2×D411yescharacteristic
684C42×C67C2×D411yescharacteristic
685C42×C67C2411yescharacteristic
686C42×C67C2411yescharacteristic
687C42×C67C2411yescharacteristic
688C42×C67C2411yescharacteristic
689C23×C67—21no—
690C23×C67—21no—
691C23×C67—42no—
692C23×C67—81no—
693C23×C67—81no—
694C23×C67C22×D411yescharacteristic
695C23×C67C22×D411yescharacteristic
696C23×C67C22×D411yescharacteristic
697C22×D67—21no—
698C22×D67—21no—
699C22×D67—21no—
700C22×D67—42no—
701C22×D67—42no—
702C22×D67—42no—
703C22×D67—81no—
704C22×D67—81no—
705C22×D67—81no—
706Q8×C67—21no—
707Q8×C67—21no—
708Q8×C67—21no—
709Q8×C67—21no—
710Q8×C67—41no—
711Q8×C67—81no—
712D4×C67—21no—
713D4×C67—21no—
714D4×C67—21no—
715D4×C67—41no—
716D4×C67—41no—
717D4×C67—41no—
718D4×C67—42no—
719D4×C67—42no—
720D4×C67—42no—
721D4×C67—81no—
722D4×C67—81no—
723D4×C67C2×#4112yes—
724C2×C4×C67—21no—
725C2×C4×C67—21no—
726C2×C4×C67—21no—
727C2×C4×C67—21no—
728C2×C4×C67—21no—
729C2×C4×C67—21no—
730C2×C4×C67—21no—
731C2×C4×C67—21no—
732C2×C4×C67—21no—
733C2×C4×C67—21no—
734C2×C4×C67—21no—
735C2×C4×C67—21no—
736C2×C4×C67—41no—
737C2×C4×C67—41no—
738C2×C4×C67—42no—
739C2×C4×C67—42no—
740C2×C4×C67—81no—
741C2×C4×C67—81no—
742C2×C4×C67—81no—
743C2×C4×C67—81no—
744C2×C4×C67—81no—
745C2×C4×C67—81no—
746C2×C4×C67—81no—
747C2×C4×C67C22×D411yescharacteristic
748C2×C4×C67C22×D411yescharacteristic
749C2×C4×C67C22×D411yescharacteristic
750C2×C4×C67C22×D411yescharacteristic
751C2×C4×C67C22×D411yescharacteristic
752C2×C4×C67C22×D411yescharacteristic
753C2×C4×C67C22×D411yescharacteristic
754C2×C4×C67C22×D411yescharacteristic
755C2×C4×C67C22×D411yescharacteristic
756C2×C4×C67C22×D411yescharacteristic
757C2×C4×C67C22×D411yescharacteristic
758C2×C4×C67C2511yescharacteristic
759C22⋊D67—42no—
760C22⋊D67—42no—
761C22⋊D67—81no—
762C22⋊D67—81no—
763C22⋊D67—81no—
764C2×Dic67—21no—
765C2×Dic67—21no—
766C2×Dic67—21no—
767C2×Dic67—21no—
768C2×Dic67—21no—
769C2×Dic67—42no—
770C2×Dic67—81no—
771D268—21no—
772D268—21no—
773D268—21no—
774D268—21no—
775D268—21no—
776D268—42no—
777D268—42no—
778D268—81no—
779D268—81no—
780D268C2×#4112yes—
781C4×D67—42no—
782C4×D67—81no—
783C4×D67—81no—
784C4×D67—81no—
785C4×D67—81no—
786C4×D67—81no—
787C4×D67—81no—
788C4×D67—81no—
789C4×D67—81no—
790Dic134—21no—
791Dic134—21no—
792Dic134—81no—
793C67⋊C8—21no—
794C67⋊C8—21no—
795C67⋊C8—21no—
796C67⋊C8—21no—
797C67⋊C8—21no—
798C67⋊C8—21no—
799C67⋊C8—21no—
800C67⋊C8C2×#4112yes—
801C22×C67—21no—
802C22×C67—21no—
803C22×C67—21no—
804C22×C67—21no—
805C22×C67—21no—
806C22×C67—21no—
807C22×C67—21no—
808C22×C67—21no—
809C22×C67—21no—
810C22×C67—22no—
811C22×C67—41no—
812C22×C67—41no—
813C22×C67—41no—
814C22×C67—41no—
815C22×C67—41no—
816C22×C67—162no—
817C22×C67C23×D411yescharacteristic
818C2×D67—22no—
819C2×D67—41no—
820C2×D67—41no—
821C2×D67—41no—
822C2×D67—41no—
823C2×D67—41no—
824C2×D67—41no—
825C2×D67—41no—
826C2×D67—41no—
827C2×D67—84no—
828C2×D67—162no—
829C4×C67—21no—
830C4×C67—21no—
831C4×C67—21no—
832C4×C67—21no—
833C4×C67—21no—
834C4×C67—21no—
835C4×C67—21no—
836C4×C67—21no—
837C4×C67—21no—
838C4×C67—21no—
839C4×C67—21no—
840C4×C67—41no—
841C4×C67—41no—
842C4×C67—41no—
843C4×C67—41no—
844C4×C67—41no—
845C4×C67—41no—
846C4×C67C22×#4111yescharacteristic
847C4×C67#58511yescharacteristic
848Dic67—41no—
849Dic67—41no—
850Dic67—41no—
851Dic67—41no—
852Dic67—41no—
853#61548—671nomaximal, Sylow
854C2×C67—41no—
855C2×C67—41no—
856C2×C67—41no—
857C2×C67—42no—
858C2×C67—81no—
859C2×C67D4×#4111yescharacteristic
860C2×C67#358411yescharacteristic
861C2×C67#358511yescharacteristic
862D67—42no—
863D67—81no—
864D67—81no—
865#3521D6711yescharacteristic, complemented
866#3513—671no—
867#3394—671no—
868#3380—671no—
869#3376—671no—
870#3370—671no—
871#3353—671no—
872#3351—671no—
873#3351—671no—
874#3318—671no—
875#3315—671no—
876#3311—671no—
877#3306—671no—
878#3297—671no—
879#3296—671no—
880#3273—671no—
881#3273—671no—
882#3272—671no—
883#3183—671no—
884#3175—671no—
885#3174—671no—
886#3125—671no—
887#3122—671no—
888#3120—671no—
889#3118—671no—
890#3105—671no—
891#3102—671no—
892#2969—671no—
893#2946—671no—
894#2946—671no—
895C4×AGL(1,ℤ/8)—671no—
896C67#6154811yescharacteristic, complemented, Sylow
897C2×AGL(1,ℤ/8)—671no—
898C2×AGL(1,ℤ/8)—671no—
899C2×AGL(1,ℤ/8)—671no—
900#559—671no—
901#556C2×D6711yescharacteristic, complemented
902#556C2×D6711yescharacteristic, complemented
903#554—671no—
904#554C2×D6711yescharacteristic, complemented
905#553—21no—
906#553—671no—
907#553—1341no—
908#553C2×D6711yescharacteristic
909#552—21no—
910#552—671no—
911#552C2×D6711yescharacteristic, complemented
912#551—21no—
913#551—21no—
914#551—1341no—
915#551—1341no—
916#547—671no—
917#547C2×D6711yescharacteristic
918#546—671no—
919#546—671no—
920#546—1341no—
921#546C2×D6711yescharacteristic, complemented
922#546C2×D6711yescharacteristic, complemented
923D42—671no—
924#542—671no—
925#542C2×D6711yescharacteristic, complemented
926#541C2×D6711yescharacteristic, complemented
927#540—671no—
928#539—21no—
929#539—1341no—
930#538—21no—
931#538—1341no—
932#529—21no—
933#529—671no—
934#529C2×D6711yescharacteristic
935#529C2×D6711yescharacteristic, complemented
936C2×#126—21no—
937#525—1341no—
938C2×#123—1341no—
939#520—671no—
940#520C2×D6711yescharacteristic, complemented
941#518—671no—
942#518C2×D6711yescharacteristic, complemented
943C4×#41C2×D6711yescharacteristic, complemented
944C2×C4×D4—671no—
945#500—671no—
946#499—671no—
947#499—671no—
948#495—671no—
949#495—671no—
950#492—671no—
951#491—671no—
952#490—671no—
953#489—671no—
954#489—671no—
955#488—671no—
956#488—671no—
957#485—671no—
958#485—671no—
959#484—671no—
960#484—671no—
961#483—671no—
962#483—671no—
963#482—671no—
964#482—671no—
965#482—671no—
966#482—671no—
967#481—671no—
968#481—671no—
969#479—671no—
970#479—671no—
971#478—671no—
972#478—671no—
973#478—671no—
974#478—671no—
975#478—671no—
976#478—671no—
977#476—671no—
978#476—671no—
979#475—671no—
980#474—671no—
981#470—671no—
982#469—671no—
983#468—671no—
984#468—671no—
985#468—671no—
986#468—671no—
987#468—671no—
988#468—671no—
989#467—671no—
990#466—671no—
991#465—671no—
992#465—671no—
993#464—671no—
994#464—671no—
995#463—671no—
996#463—671no—
997#463—671no—
998#463—671no—
999#463—671no—
1000#463—671no—
1001#462—671no—
1002#461—671no—
1003#459—671no—
1004#459—671no—
1005#452—671no—
1006#452—671no—
1007#452—671no—
1008#452—671no—
1009#450—671no—
1010#450—671no—
1011#449—671no—
1012#449—671no—
1013#447—671no—
1014#447—671no—
1015#447—671no—
1016#447—671no—
1017#446—671no—
1018C8×Q8—671no—
1019#442—671no—
1020#442—671no—
1021#442—671no—
1022#442—671no—
1023#442—671no—
1024#441—671no—
1025#440—671no—
1026#440—671no—
1027#440—671no—
1028#440—671no—
1029#440—671no—
1030#440—671no—
1031C4×Q16—671no—
1032C4×SD16—671no—
1033C4×SD16—671no—
1034C4×SD16—671no—
1035C4×SD16—671no—
1036C4×SD16—671no—
1037C4×SD16—671no—
1038C4×SD16—671no—
1039C4×SD16—671no—
1040C4×D8—671no—
1041C4×D8—671no—
1042C4×D8—671no—
1043C4×D8—671no—
1044C4×D8—671no—
1045C4×D8—671no—
1046C4×D8—671no—
1047#436—671no—
1048#436—671no—
1049#436—671no—
1050#435—671no—
1051#435—671no—
1052C8×D4—671no—
1053#433—671no—
1054#433—671no—
1055#431—671no—
1056#428—671no—
1057#428—671no—
1058#428—671no—
1059#418—671no—
1060#417—671no—
1061#416—671no—
1062#416—671no—
1063C2×#102—671no—
1064C2×#102—671no—
1065#405—671no—
1066#405—671no—
1067C4×M16—671no—
1068C2×#41—671no—
1069C2×#41—1341no—
1070C2×#41C22×D6711yescharacteristic
1071C2×#41C22×D6711yescharacteristic
1072C22×D4—671no—
1073C22×D4—671no—
1074C22×D4—1341no—
1075C22×D4C22×D6711yescharacteristic
1076C23×C4—1341no—
1077AGL(1,ℤ/8)—1344no—
1078AGL(1,ℤ/8)—1344no—
1079AGL(1,ℤ/8)—1344no—
1080C2×Q16—671no—
1081C2×Q16—671no—
1082C2×SD16—671no—
1083C2×SD16—671no—
1084C2×SD16—671no—
1085C2×SD16—671no—
1086C2×SD16—671no—
1087C2×SD16—671no—
1088C2×SD16—671no—
1089C2×SD16—671no—
1090C2×D8—671no—
1091C2×D8—671no—
1092C2×D8—671no—
1093C2×D8—671no—
1094C2×D8—671no—
1095C2×D8—671no—
1096C2×M16—671no—
1097C2×M16—671no—
1098C2×M16—671no—
1099C2×M16—671no—
1100C22×C8—671no—
1101C22×C8—671no—
1102C4⋊Q8—671no—
1103C4⋊Q8C22×D6711yescharacteristic
1104C4⋊Q8C22×D6711yescharacteristic
1105#127—671no—
1106#126—21no—
1107#126—21no—
1108#126—21no—
1109#126—21no—
1110#126—21no—
1111#126—21no—
1112#126—21no—
1113#126—21no—
1114#126—21no—
1115#126—21no—
1116#126—1341no—
1117#126—1341no—
1118#126—1341no—
1119#126—1341no—
1120#126C22⋊D6711yescharacteristic
1121#126C22⋊D6711yescharacteristic
1122#125—21no—
1123#125—21no—
1124#125—21no—
1125#125—671no—
1126#125—671no—
1127#125—1341no—
1128#125C22⋊D6711yescharacteristic
1129#125C22×D6711yescharacteristic
1130#125C22×D6711yescharacteristic
1131#124—21no—
1132#124—21no—
1133#124—671no—
1134#124—671no—
1135#124—1341no—
1136#124—1341no—
1137#124C22⋊D6711yescharacteristic
1138#124C22×D6711yescharacteristic
1139#124C22×D6711yescharacteristic
1140#123—21no—
1141#123—21no—
1142#123—21no—
1143#123—21no—
1144#123—21no—
1145#123—21no—
1146#123—21no—
1147#123—21no—
1148#123—1341no—
1149#123—1341no—
1150#123—1341no—
1151#123—1341no—
1152#123—1341no—
1153#123—1341no—
1154#123—1341no—
1155#123—1341no—
1156#123—1341no—
1157#123—1341no—
1158#123—1341no—
1159#123—1341no—
1160#123C22⋊D6711yescharacteristic
1161#123C22⋊D6711yescharacteristic
1162C22⋊Q8—21no—
1163C22⋊Q8—21no—
1164C22⋊Q8—21no—
1165C22⋊Q8—21no—
1166C22⋊Q8—21no—
1167C22⋊Q8—671no—
1168C22⋊Q8—671no—
1169C22⋊Q8—1341no—
1170C22⋊Q8—1341no—
1171C22⋊Q8—1341no—
1172C22⋊Q8—1341no—
1173C22⋊Q8—1341no—
1174C22⋊Q8C22⋊D6711yescharacteristic
1175C22⋊Q8C22×D6711yescharacteristic
1176C22⋊Q8C22×D6711yescharacteristic
1177C22⋊Q8C22×D6711yescharacteristic
1178C22⋊Q8C22×D6711yescharacteristic
1179#121—21no—
1180#121—21no—
1181#121—21no—
1182#121—21no—
1183#121—671no—
1184#121—671no—
1185#121—671no—
1186#121—671no—
1187#121—1341no—
1188#121—1341no—
1189#121—1341no—
1190#121—1341no—
1191#121—1341no—
1192#121—1341no—
1193#121C22⋊D6711yescharacteristic
1194#121C22×D6711yescharacteristic
1195#121C22×D6711yescharacteristic
1196#120—21no—
1197#120—21no—
1198#120—1341no—
1199#120—1341no—
1200#120—1341no—
1201#120—1341no—
1202C4×Q8—21no—
1203C4×Q8—671no—
1204C4×Q8—671no—
1205C4×Q8C22×D6711yescharacteristic
1206C4×Q8C22×D6711yescharacteristic
1207C4×Q8C22×D6711yescharacteristic
1208C4×Q8C22×D6711yescharacteristic
1209C4×Q8C22×D6711yescharacteristic
1210C4×D4—21no—
1211C4×D4—21no—
1212C4×D4—21no—
1213C4×D4—21no—
1214C4×D4—21no—
1215C4×D4—21no—
1216C4×D4—21no—
1217C4×D4—21no—
1218C4×D4—671no—
1219C4×D4—671no—
1220C4×D4—671no—
1221C4×D4—671no—
1222C4×D4—671no—
1223C4×D4—671no—
1224C4×D4—671no—
1225C4×D4—671no—
1226C4×D4—1341no—
1227C4×D4—1341no—
1228C4×D4—1341no—
1229C4×D4—1341no—
1230C4×D4—1341no—
1231C4×D4—1341no—
1232C4×D4—1341no—
1233C4×D4—1341no—
1234C4×D4—1341no—
1235C4×D4C22×D6711yescharacteristic
1236C4×D4C22×D6711yescharacteristic
1237C4×D4C22×D6711yescharacteristic
1238C4×D4C22×D6711yescharacteristic
1239C4×D4C22×D6711yescharacteristic
1240C4×D4C22×D6711yescharacteristic
1241C4×D4C22×D6711yescharacteristic
1242C4×D4C22×D6711yescharacteristic
1243C4×D4C22×D6711yescharacteristic
1244#117—21no—
1245#117—21no—
1246#117—21no—
1247#117—21no—
1248#117—21no—
1249#117—671no—
1250#117—1341no—
1251#117—1341no—
1252#117—1341no—
1253#117C22×D6711yescharacteristic
1254#117C22×D6711yescharacteristic
1255#117C22×D6711yescharacteristic
1256#117C22×D6711yescharacteristic
1257C2×C4⋊C4—21no—
1258C2×C4⋊C4—21no—
1259C2×C4⋊C4—21no—
1260C2×C4⋊C4—671no—
1261C2×C4⋊C4—671no—
1262C2×C4⋊C4—1341no—
1263C2×C4⋊C4—1341no—
1264C2×C4⋊C4C22×D6711yescharacteristic
1265C2×C22⋊C4—21no—
1266C2×C22⋊C4—21no—
1267C2×C22⋊C4—21no—
1268C2×C22⋊C4—21no—
1269C2×C22⋊C4—1341no—
1270C2×C22⋊C4—1341no—
1271C2×C22⋊C4—1341no—
1272C2×C22⋊C4—1341no—
1273C2×C22⋊C4—1341no—
1274C2×C42—21no—
1275C2×C42C22×D6711yescharacteristic
1276#107—671no—
1277#107—671no—
1278#107—671no—
1279#107—671no—
1280#107—671no—
1281#107—671no—
1282#107—671no—
1283#107—671no—
1284#106—671no—
1285#106—671no—
1286#106—671no—
1287#106—671no—
1288#106—671no—
1289#106—671no—
1290#106—671no—
1291#106—671no—
1292C4⋊C8—671no—
1293C4⋊C8—671no—
1294C4⋊C8—671no—
1295C4⋊C8—671no—
1296C4⋊C8—671no—
1297C4⋊C8—671no—
1298#103—671no—
1299#103—671no—
1300#103—671no—
1301#103—671no—
1302#103—671no—
1303#103—671no—
1304#103—671no—
1305#103—671no—
1306#103—671no—
1307#103—671no—
1308#103—671no—
1309#103—671no—
1310#102—671no—
1311#102—671no—
1312#102—671no—
1313#102—671no—
1314#102—671no—
1315#102—671no—
1316#102—671no—
1317#102—671no—
1318#102—671no—
1319#102—671no—
1320#102—671no—
1321#102—671no—
1322#102—671no—
1323#102—671no—
1324#102—671no—
1325#102—671no—
1326#102—671no—
1327#102—671no—
1328#102—671no—
1329#102—671no—
1330C22⋊C8—671no—
1331C22⋊C8—671no—
1332C22⋊C8—671no—
1333C22⋊C8—671no—
1334C22⋊C8—671no—
1335C22⋊C8—671no—
1336#97—671no—
1337#97—671no—
1338#97—671no—
1339#97—671no—
1340C4×C8—671no—
1341C4×C8—671no—
1342C4×C8—671no—
1343C4×C8—671no—
1344C4×C8—671no—
1345C4×C8—671no—
1346C24—21no—
1347C24—1341no—
1348C24—1341no—
1349#41—22no—
1350#41—22no—
1351#41—41no—
1352#41—41no—
1353#41—2681no—
1354#41—5362no—
1355#41—1342no—
1356C2×Q8—21no—
1357C2×Q8—671no—
1358C2×Q8—1341no—
1359C2×Q8C2×C22⋊D6711yescharacteristic
1360C2×Q8C23×D6711yescharacteristic
1361C2×Q8C23×D6711yescharacteristic
1362C2×D4—22no—
1363C2×D4—21no—
1364C2×D4—21no—
1365C2×D4—21no—
1366C2×D4—21no—
1367C2×D4—21no—
1368C2×D4—41no—
1369C2×D4—2681no—
1370C2×D4—2681no—
1371C2×D4—5362no—
1372C2×D4—671no—
1373C2×D4—671no—
1374C2×D4—671no—
1375C2×D4—1342no—
1376C2×D4—1342no—
1377C2×D4—1341no—
1378C2×D4—1341no—
1379C2×D4—1341no—
1380C2×D4—1341no—
1381C2×D4—1341no—
1382C2×D4—1341no—
1383C2×D4—1341no—
1384C2×D4—1341no—
1385C2×D4—1341no—
1386C2×D4C2×C22⋊D6711yescharacteristic
1387C2×D4C2×C22⋊D6711yescharacteristic
1388C2×D4C2×C22⋊D6711yescharacteristic
1389C2×D4C23×D6711yescharacteristic
1390C2×D4C23×D6711yescharacteristic
1391C22×C4—21no—
1392C22×C4—21no—
1393C22×C4—21no—
1394C22×C4—21no—
1395C22×C4—21no—
1396C22×C4—21no—
1397C22×C4—21no—
1398C22×C4—21no—
1399C22×C4—21no—
1400C22×C4—5362no—
1401C22×C4—1341no—
1402C22×C4—1341no—
1403C22×C4—1341no—
1404C22×C4—1341no—
1405C22×C4—1341no—
1406C22×C4—1341no—
1407C22×C4—1341no—
1408C22×C4—1341no—
1409C22×C4—1341no—
1410C22×C4—1341no—
1411C22×C4—1341no—
1412C22×C4C2×C22⋊D6711yescharacteristic
1413C22×C4C2×C22⋊D6711yescharacteristic
1414C22×C4C23×D6711yescharacteristic
1415C22×C4C23×D6711yescharacteristic
1416C22×C4C23×D6711yescharacteristic
1417Q16—2681no—
1418Q16—2681no—
1419SD16—2681no—
1420SD16—2681no—
1421SD16—1342no—
1422SD16—1342no—
1423SD16—1342no—
1424SD16—1342no—
1425SD16—1342no—
1426SD16—1342no—
1427D8—2681no—
1428D8—2681no—
1429D8—674no—
1430D8—1342no—
1431D8—1342no—
1432D8—1342no—
1433M16—2681no—
1434M16—1342no—
1435M16—1342no—
1436M16—1342no—
1437C2×C8—2681no—
1438C2×C8—2681no—
1439C2×C8—671no—
1440C2×C8—671no—
1441C2×C8—671no—
1442C2×C8—671no—
1443C2×C8—671no—
1444C2×C8—671no—
1445C2×C8—671no—
1446C2×C8—671no—
1447C4⋊C4—21no—
1448C4⋊C4—21no—
1449C4⋊C4—21no—
1450C4⋊C4—21no—
1451C4⋊C4—21no—
1452C4⋊C4—21no—
1453C4⋊C4—21no—
1454C4⋊C4—21no—
1455C4⋊C4—21no—
1456C4⋊C4—21no—
1457C4⋊C4—21no—
1458C4⋊C4—21no—
1459C4⋊C4—21no—
1460C4⋊C4—21no—
1461C4⋊C4—21no—
1462C4⋊C4—21no—
1463C4⋊C4—671no—
1464C4⋊C4—671no—
1465C4⋊C4—671no—
1466C4⋊C4—671no—
1467C4⋊C4—1341no—
1468C4⋊C4—1341no—
1469C4⋊C4—1341no—
1470C4⋊C4—1341no—
1471C4⋊C4—1341no—
1472C4⋊C4—1341no—
1473C4⋊C4—1341no—
1474C4⋊C4—1341no—
1475C4⋊C4—1341no—
1476C4⋊C4—1341no—
1477C4⋊C4—1341no—
1478C4⋊C4C2×C22⋊D6711yescharacteristic
1479C4⋊C4C2×C22⋊D6711yescharacteristic
1480C4⋊C4C2×C22⋊D6711yescharacteristic
1481C4⋊C4C2×C22⋊D6711yescharacteristic
1482C4⋊C4C2×C22⋊D6711yescharacteristic
1483C4⋊C4C2×C22⋊D6711yescharacteristic
1484C4⋊C4C2×C22⋊D6711yescharacteristic
1485C4⋊C4C2×C22⋊D6711yescharacteristic
1486C4⋊C4C2×C22⋊D6711yescharacteristic
1487C4⋊C4C2×C22⋊D6711yescharacteristic
1488C4⋊C4C23×D6711yescharacteristic
1489C4⋊C4C23×D6711yescharacteristic
1490C4⋊C4C23×D6711yescharacteristic
1491C4⋊C4C23×D6711yescharacteristic
1492C22⋊C4—21no—
1493C22⋊C4—21no—
1494C22⋊C4—21no—
1495C22⋊C4—21no—
1496C22⋊C4—21no—
1497C22⋊C4—21no—
1498C22⋊C4—21no—
1499C22⋊C4—21no—
1500C22⋊C4—21no—
1501C22⋊C4—21no—
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—21no—
1505C22⋊C4—21no—
1506C22⋊C4—21no—
1507C22⋊C4—21no—
1508C22⋊C4—21no—
1509C22⋊C4—21no—
1510C22⋊C4—1341no—
1511C22⋊C4—1341no—
1512C22⋊C4—1341no—
1513C22⋊C4—1341no—
1514C22⋊C4—1341no—
1515C22⋊C4—1341no—
1516C22⋊C4—1341no—
1517C22⋊C4—1341no—
1518C22⋊C4—1341no—
1519C22⋊C4—1341no—
1520C22⋊C4—1341no—
1521C22⋊C4—1341no—
1522C22⋊C4—1341no—
1523C22⋊C4—1341no—
1524C22⋊C4—1341no—
1525C22⋊C4—1341no—
1526C22⋊C4—1341no—
1527C22⋊C4—1341no—
1528C22⋊C4—1341no—
1529C22⋊C4C2×C22⋊D6711yescharacteristic
1530C22⋊C4C2×C22⋊D6711yescharacteristic
1531C22⋊C4C2×C22⋊D6711yescharacteristic
1532C22⋊C4C2×C22⋊D6711yescharacteristic
1533C22⋊C4C2×C22⋊D6711yescharacteristic
1534C22⋊C4C2×C22⋊D6711yescharacteristic
1535C22⋊C4C2×C22⋊D6711yescharacteristic
1536C22⋊C4C2×C22⋊D6711yescharacteristic
1537C22⋊C4C2×C22⋊D6711yescharacteristic
1538C22⋊C4C2×C22⋊D6711yescharacteristic
1539C42—21no—
1540C42—21no—
1541C42—21no—
1542C42—21no—
1543C42—21no—
1544C42—21no—
1545C42—1341no—
1546C42—1341no—
1547C42—1341no—
1548C42C2×C22⋊D6711yescharacteristic
1549C42C2×C22⋊D6711yescharacteristic
1550C42C23×D6711yescharacteristic
1551C42C23×D6711yescharacteristic
1552C42C23×D6711yescharacteristic
1553C42C23×D6711yescharacteristic
1554C23—21no—
1555C23—21no—
1556C23—42no—
1557C23—81no—
1558C23—81no—
1559C23—2682no—
1560C23—2682no—
1561C23—2682no—
1562C23—5361no—
1563C23—5361no—
1564C23—5361no—
1565C23—1341no—
1566C23—1341no—
1567C23—1341no—
1568C23C22×C22⋊D6711yescharacteristic
1569C23C22×C22⋊D6711yescharacteristic
1570C23C22×C22⋊D6711yescharacteristic
1571Q8—21no—
1572Q8—21no—
1573Q8—21no—
1574Q8—21no—
1575Q8—41no—
1576Q8—81no—
1577Q8—5361no—
1578Q8—1341no—
1579Q8—1341no—
1580D4—21no—
1581D4—21no—
1582D4—21no—
1583D4—41no—
1584D4—41no—
1585D4—41no—
1586D4—42no—
1587D4—42no—
1588D4—42no—
1589D4—81no—
1590D4—81no—
1591D4—2682no—
1592D4—2682no—
1593D4—2682no—
1594D4—2682no—
1595D4—5361no—
1596D4—5361no—
1597D4—5361no—
1598D4—5361no—
1599D4—5361no—
1600D4—672no—
1601D4—1341no—
1602D4—1341no—
1603D4—1341no—
1604D4—1341no—
1605D4—1341no—
1606D4#41×D6712yes—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—41no—
1620C2×C4—41no—
1621C2×C4—42no—
1622C2×C4—42no—
1623C2×C4—81no—
1624C2×C4—81no—
1625C2×C4—81no—
1626C2×C4—81no—
1627C2×C4—81no—
1628C2×C4—81no—
1629C2×C4—81no—
1630C2×C4—2682no—
1631C2×C4—2682no—
1632C2×C4—5361no—
1633C2×C4—5361no—
1634C2×C4—5361no—
1635C2×C4—5361no—
1636C2×C4—5361no—
1637C2×C4—5361no—
1638C2×C4—5361no—
1639C2×C4—5361no—
1640C2×C4—5361no—
1641C2×C4—1341no—
1642C2×C4—1341no—
1643C2×C4—1341no—
1644C2×C4—1341no—
1645C2×C4—1341no—
1646C2×C4C22×C22⋊D6711yescharacteristic
1647C2×C4C22×C22⋊D6711yescharacteristic
1648C2×C4C22×C22⋊D6711yescharacteristic
1649C2×C4C22×C22⋊D6711yescharacteristic
1650C2×C4C22×C22⋊D6711yescharacteristic
1651C2×C4C22×C22⋊D6711yescharacteristic
1652C2×C4C22×C22⋊D6711yescharacteristic
1653C2×C4C22×C22⋊D6711yescharacteristic
1654C2×C4C22×C22⋊D6711yescharacteristic
1655C2×C4C22×C22⋊D6711yescharacteristic
1656C2×C4C22×C22⋊D6711yescharacteristic
1657C2×C4C24×D6711yescharacteristic
1658C8—672no—
1659C8—1341no—
1660C8—1341no—
1661C8—1341no—
1662C8—1341no—
1663C8—1341no—
1664C8—1341no—
1665C8—1341no—
1666C22—21no—
1667C22—21no—
1668C22—21no—
1669C22—22no—
1670C22—21no—
1671C22—21no—
1672C22—21no—
1673C22—21no—
1674C22—21no—
1675C22—21no—
1676C22—41no—
1677C22—41no—
1678C22—41no—
1679C22—41no—
1680C22—41no—
1681C22—2681no—
1682C22—2681no—
1683C22—2681no—
1684C22—2681no—
1685C22—2681no—
1686C22—2681no—
1687C22—2681no—
1688C22—2681no—
1689C22—162no—
1690C22—5364no—
1691C22—10722no—
1692C22—1342no—
1693C22C23×C22⋊D6711yescharacteristic
1694C4—21no—
1695C4—21no—
1696C4—21no—
1697C4—21no—
1698C4—21no—
1699C4—21no—
1700C4—21no—
1701C4—21no—
1702C4—21no—
1703C4—21no—
1704C4—21no—
1705C4—41no—
1706C4—41no—
1707C4—41no—
1708C4—41no—
1709C4—41no—
1710C4—41no—
1711C4—2681no—
1712C4—2681no—
1713C4—2681no—
1714C4—2681no—
1715C4—2681no—
1716C4C2×#41×D6711yescharacteristic
1717C4#1686423211yescharacteristic
1718C2—41no—
1719C2—41no—
1720C2—41no—
1721C2—42no—
1722C2—81no—
1723C2—2682no—
1724C2—5361no—
1725C2—5361no—
1726C2#41×C22⋊D6711yescharacteristic
1727C2#2257498011yescharacteristic
1728C2#2257498811yescharacteristic
subgroupG/H
centerC22C23×C22⋊D67
commutator, cosocleC2×C4×C67C25
FrattiniC2×C4C24×D67
FittingC67×#3521C2
socleC22×C67C23×D4
hypercenter#3521D67
hypocenterC67#61548
LCSG ▷ C2×C4×C67 ▷ C2×C67 ▷ C67
UCSC1 ◁ C22 ◁ #529 ◁ #3521

Complements

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

NH ≅ G/Ntype
1. #22574153C2semidirect
2. #22573205C2semidirect
3. #22573072C2semidirect
4. #22573030C2semidirect
5. #22572962C2semidirect
6. #22572787C2semidirect
7. #22572769C2semidirect
8. #22572763C2semidirect
9. #22572344C2semidirect
10. #22572305C2semidirect
11. #22572239C2semidirect
12. #22572170C2semidirect
13. #22572059C2semidirect
14. #22572038C2semidirect
15. #22571816C2semidirect
16. #22571816C2semidirect
17. #22571809C2semidirect
18. #22570932C2semidirect
19. #22570842C2semidirect
20. #22570838C2semidirect
21. #22570486C2semidirect
22. #22570452C2semidirect
23. #22570417C2semidirect
24. #22570387C2semidirect
25. #22570252C2semidirect
26. #22570227C2semidirect
27. #22569214C2semidirect
28. #22569041C2semidirect
29. #22569037C2semidirect
30. C4×#14524068C2semidirect
31. C67×#3521C2semidirect
35. #16864131C22semidirect
36. #16864106C22semidirect
39. #16864086C22semidirect
46. D4×D268C22semidirect
47. #16864017C22semidirect
51. #16863930C22semidirect
55. #16863870C22semidirect
56. C2×C4×D268C22semidirect
57. #16863799C22semidirect
58. #16863795C22semidirect
59. #16863795C22semidirect
60. #16863778C22semidirect
61. #16863778C22semidirect
62. #16863770C22semidirect
63. #16863764C22semidirect
64. #16863762C22semidirect
65. #16863758C22semidirect
66. #16863755C22semidirect
67. #16863753C22semidirect
68. #16863750C22semidirect
69. #16863737C22semidirect
70. #16863734C22semidirect
71. #16863729C22semidirect
72. #16863729C22semidirect
73. #16863726C22semidirect
74. #16863724C22semidirect
75. #16863720C22semidirect
76. #16863720C22semidirect
77. #16863720C22semidirect
78. #16863717C22semidirect
79. #16863714C22semidirect
80. #16863712C22semidirect
81. #16863703C22semidirect
82. #16863700C22semidirect
83. #16863696C22semidirect
84. #16863696C22semidirect
85. #16863696C22semidirect
86. #16863693C22semidirect
87. #16863693C22semidirect
88. #16863693C22semidirect
89. #16863686C22semidirect
90. #16863683C22semidirect
91. #16863681C22semidirect
92. #16863673C22semidirect
93. #16863652C22semidirect
95. #16863644C22semidirect
96. #16863644C22semidirect
97. #16863644C22semidirect
98. #16863644C22semidirect
99. #16863640C22semidirect
100. #16863640C22semidirect
101. #16863635C22semidirect
103. #16863627C22semidirect
104. #16863627C22semidirect
105. #16863618C22semidirect
106. #16863618C22semidirect
107. #16863611C22semidirect
108. #16863611C22semidirect
111. #16863608C22semidirect
112. #16863608C22semidirect
113. #16863603C22semidirect
114. #16863598C22semidirect
117. #16863558C22semidirect
118. #16863558C22semidirect
121. #16863546C22semidirect
122. #16863546C22semidirect
125. #16863530C22semidirect
126. #16863530C22semidirect
129. #16863527C22semidirect
130. Q8×C67⋊C8C22semidirect
133. #16863506C22semidirect
134. #16863506C22semidirect
135. #16863506C22semidirect
136. #16863501C22semidirect
137. #16863496C22semidirect
138. #16863496C22semidirect
139. #16863494C22semidirect
140. #16863494C22semidirect
141. #16863494C22semidirect
142. #16863494C22semidirect
143. C4×#11761618C22semidirect
144. C4×#11761615C22semidirect
145. C4×#11761615C22semidirect
146. C4×#11761615C22semidirect
147. C4×#11761615C22semidirect
148. C4×#11761615C22semidirect
149. C4×#11761615C22semidirect
150. C4×#11761616C22semidirect
151. C4×#11761616C22semidirect
156. C4×#11761613C22semidirect
157. C4×#11761613C22semidirect
158. C4×#11761613C22semidirect
159. #16863474C22semidirect
160. #16863474C22semidirect
161. #16863474C22semidirect
162. #16863468C22semidirect
163. #16863468C22semidirect
164. D4×C67⋊C8C22semidirect
165. #16863457C22semidirect
166. #16863457C22semidirect
167. #16863449C22semidirect
168. #16863439C22semidirect
169. #16863439C22semidirect
170. #16863436C22semidirect
171. #16863400C22semidirect
172. #16863397C22semidirect
173. #16863392C22semidirect
175. C2×#14523964C22semidirect
176. C2×#14523963C22semidirect
177. #16863352C22semidirect
178. #16863352C22semidirect
179. C4×#11761612C22semidirect
180. #556×C67C22semidirect
181. #556×C67C22semidirect
182. #554×C67C22semidirect
186. #552×C67C22semidirect
190. #546×C67C22semidirect
191. #546×C67C22semidirect
192. #542×C67C22semidirect
193. #541×C67C22semidirect
198. #529×C67C22semidirect
200. #520×C67C22semidirect
201. #518×C67C22semidirect
202. C4×#41×C67C22semidirect
532. #11761613#41semidirect
865. #3521D67semidirect
896. C67#61548semidirect
901. #556C2×D67semidirect
902. #556C2×D67semidirect
904. #554C2×D67semidirect
911. #552C2×D67semidirect
921. #546C2×D67semidirect
922. #546C2×D67semidirect
925. #542C2×D67semidirect
926. #541C2×D67semidirect
935. #529C2×D67semidirect
940. #520C2×D67semidirect
942. #518C2×D67semidirect
943. C4×#41C2×D67semidirect

Maximal subgroups

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

subgroupindex
#225741532
#225732052
#225730722
#225730302
#225729622
#225727872
#225727692
#225727632
#225723442
#225723052
#225722392
#225721702
#225720592
#225720382
#225718162
#225718092
#225709322
#225708422
#225708382
#225704862
#225704522
#225704172
#225703872
#225702522
#225702272
#225692142
#225690412
#225690372
C4×#145240682
C67×#35212
#6154867