Finite Group Databasebeta

← #32878946

Subgroups — #32878946

Order 18176.

2000 conjugacy classes of subgroups.

The subgroup lattice has 1776 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22601947C211yesmaximal, characteristic, complemented
2#22601945C211yesmaximal, characteristic, complemented
3#22601347C211yesmaximal, characteristic, complemented
4#22601202C211yesmaximal, characteristic, complemented
5#22601001C211yesmaximal, characteristic, complemented
6#22600997C211yesmaximal, characteristic, complemented
7#22600736C211yesmaximal, characteristic, complemented
8#22600735C211yesmaximal, characteristic, complemented
9#22600727C211yesmaximal, characteristic, complemented
10#22600192C211yesmaximal, characteristic, complemented
11#22600191C211yesmaximal, characteristic, complemented
12#22600185C211yesmaximal, characteristic, complemented
13#22600160C211yesmaximal, characteristic, complemented
14#22600159C211yesmaximal, characteristic, complemented
15#22600023C211yesmaximal, characteristic, complemented
16#22600021C211yesmaximal, characteristic, complemented
17#22600010C211yesmaximal, characteristic, complemented
18#22598914C211yesmaximal, characteristic, complemented
19#22598909C211yesmaximal, characteristic, complemented
20#22598903C211yesmaximal, characteristic, complemented
21#22598395C211yesmaximal, characteristic, complemented
22#22598393C211yesmaximal, characteristic, complemented
23#22598392C211yesmaximal, characteristic, complemented
24#22598390C211yesmaximal, characteristic, complemented
25#22598386C211yesmaximal, characteristic, complemented
26#22598382C211yesmaximal, characteristic, complemented
27C8×#11765864C211yesmaximal, characteristic, complemented
28#22597108C211yesmaximal, characteristic, complemented
29C2×#17986079C211yesmaximal, characteristic, complemented
30C4×D8×D71C211yesmaximal, characteristic, complemented
31C71×#3297C211yesmaximal, characteristic, complemented
32C2×#14556148C2211yescharacteristic
33C22×#11765850C2211yescharacteristic
34C2×D8×D71C2211yescharacteristic
35#17986732C2211yescharacteristic, complemented
36#17986731C2211yescharacteristic, complemented
37#17986708C2211yescharacteristic, complemented
38#17986707C2211yescharacteristic
39#17986705C2211yescharacteristic, complemented
40#17986704C2211yescharacteristic
41#17986696C2211yescharacteristic, complemented
42#17986695C2211yescharacteristic, complemented
43#17986694—21no—
44#17986693C2211yescharacteristic, complemented
45#17986692—21no—
46#17986678—21no—
47#17986675—21no—
48#17986674—21no—
49#17986672—21no—
50#17986646C2211yescharacteristic, complemented
51#17986645C2211yescharacteristic, complemented
52#17986638—21no—
53#17986637C2211yescharacteristic, complemented
54#17986636—21no—
55#17986633C2211yescharacteristic
56D4×C22⋊D71C2211yescharacteristic
57#17986544C2211yescharacteristic, complemented
58#17986544C2211yescharacteristic, complemented
59#17986535C2211yescharacteristic, complemented
60#17986534C2211yescharacteristic, complemented
61#17986532—21no—
62#17986530C2211yescharacteristic, complemented
63#17986528C2211yescharacteristic, complemented
64#17986526—21no—
65#17986509—21no—
66#17986509—21no—
67#17986507—21no—
68#17986505—21no—
69#41×Dic71C2211yescharacteristic, complemented
70#17986467C2211yescharacteristic, complemented
71C4×#11765864C2211yescharacteristic
72C2×D4×Dic71C2211yescharacteristic, complemented
73C2×#14556090C2211yescharacteristic, complemented
74C2×(C22⋊D71)⋊C4—21no—
75C4×D4×D71—21no—
76C4×D4×D71C2211yescharacteristic, complemented
77C4×D4×D71C2211yescharacteristic, complemented
78#17986403C2211yescharacteristic, complemented
79#17986399C2211yescharacteristic, complemented
80#17986398C2211yescharacteristic, complemented
81#17986381C2211yescharacteristic, complemented
82#17986380C2211yescharacteristic, complemented
83#17986374C2211yescharacteristic
84#17986355C2211yescharacteristic, complemented
85#17986354C2211yescharacteristic, complemented
86#17986352C2211yescharacteristic, complemented
87#17986344C2211yescharacteristic, complemented
88#17986344C2211yescharacteristic, complemented
89#17986336C2211yescharacteristic, complemented
90#17986335C2211yescharacteristic, complemented
91#17986333C2211yescharacteristic, complemented
92#17986324C2211yescharacteristic, complemented
93#17986323C2211yescharacteristic, complemented
94#17986320C2211yescharacteristic, complemented
95#17986319C2211yescharacteristic, complemented
96#17986317C2211yescharacteristic, complemented
97#17986316C2211yescharacteristic, complemented
98#17986315C2211yescharacteristic, complemented
99#17986302C2211yescharacteristic, complemented
100#17986302C2211yescharacteristic, complemented
101#17986300C2211yescharacteristic, complemented
102#17986299C2211yescharacteristic, complemented
103#17986297C2211yescharacteristic, complemented
104#17986297C2211yescharacteristic, complemented
105#17986296C2211yescharacteristic, complemented
106#17986293C2211yescharacteristic, complemented
107#17986292C2211yescharacteristic, complemented
108#17986288C2211yescharacteristic, complemented
109#17986287C2211yescharacteristic, complemented
110#17986239C2211yescharacteristic, complemented
111#17986238C2211yescharacteristic, complemented
112#17986235C2211yescharacteristic, complemented
113#17986234C2211yescharacteristic
114#17986233C2211yescharacteristic
115#17986233C2211yescharacteristic, complemented
116#17986233C2211yescharacteristic, complemented
117#17986231C2211yescharacteristic, complemented
118#17986228C2211yescharacteristic, complemented
119#17986227C2211yescharacteristic, complemented
120#17986217C2211yescharacteristic, complemented
121#17986217C2211yescharacteristic, complemented
122#17986215C2211yescharacteristic, complemented
123#17986214C2211yescharacteristic, complemented
124#17986212C2211yescharacteristic, complemented
125#17986212C2211yescharacteristic, complemented
126#17986211C2211yescharacteristic, complemented
127#17986198C2211yescharacteristic, complemented
128#17986197C2211yescharacteristic, complemented
129#17986193C2211yescharacteristic
130#17986192C2211yescharacteristic
131#17986151C2211yescharacteristic, complemented
132#17986150C2211yescharacteristic, complemented
133#17986149C2211yescharacteristic, complemented
134#17986148C2211yescharacteristic, complemented
135#17986146C2211yescharacteristic, complemented
136#17986144C2211yescharacteristic, complemented
137#17986142C2211yescharacteristic, complemented
138#17986135C2211yescharacteristic
139#17986134C2211yescharacteristic
140#17986131C2211yescharacteristic
141C8×Dic142C2211yescharacteristic, complemented
142#17986123C2211yescharacteristic, complemented
143#17986091C2211yescharacteristic, complemented
144#17986091C2211yescharacteristic, complemented
145#17986090C2211yescharacteristic, complemented
146#17986090C2211yescharacteristic, complemented
147#17986090C2211yescharacteristic, complemented
148SD16×Dic71C2211yescharacteristic, complemented
149#17986086C2211yescharacteristic, complemented
150#17986084C2211yescharacteristic, complemented
151#17986084C2211yescharacteristic, complemented
152#17986084C2211yescharacteristic, complemented
153C4×D568C2211yescharacteristic, complemented
154D8×Dic71C2211yescharacteristic, complemented
155D8×Dic71C2211yescharacteristic, complemented
156#17986081C2211yescharacteristic, complemented
157#17986081C2211yescharacteristic, complemented
158C4×#11765850C2211yescharacteristic
159C4×#11765850C2211yescharacteristic, complemented
160#17986079C2211yescharacteristic
161#17986079C2211yescharacteristic
162#17986079C2211yescharacteristic
163#17986079C2211yescharacteristic, complemented
164#17986079C2211yescharacteristic, complemented
165#17986079C2211yescharacteristic, complemented
166#17986079C2211yescharacteristic, complemented
167#17986079C2211yescharacteristic, complemented
168#17986079C2211yescharacteristic, complemented
169#17986079C2211yescharacteristic, complemented
170D4×C71⋊C8C2211yescharacteristic, complemented
171C8×C22⋊D71C2211yescharacteristic
172C8×C22⋊D71C2211yescharacteristic, complemented
173(C22⋊D71)⋊C8C2211yescharacteristic
174(C22⋊D71)⋊C8C2211yescharacteristic, complemented
175#17986051C2211yescharacteristic, complemented
176#17986049C2211yescharacteristic, complemented
177#17986049C2211yescharacteristic, complemented
178#17986035C2211yescharacteristic, complemented
179C2×#14556061C2211yescharacteristic, complemented
180#107×D71C2211yescharacteristic, complemented
181#17985996C2211yescharacteristic, complemented
182C2×#14556050C2211yescharacteristic, complemented
183#102×D71C2211yescharacteristic, complemented
184#102×D71C2211yescharacteristic, complemented
185C2×C8×Dic71C2211yescharacteristic, complemented
186C2×C8×Dic71C2211yescharacteristic, complemented
187C4×C8×D71C2211yescharacteristic, complemented
188#553×C71C2211yescharacteristic, complemented
189#546×C71C2211yescharacteristic, complemented
190#488×C71C2211yescharacteristic, complemented
191#484×C71C2211yescharacteristic, complemented
192#482×C71C2211yescharacteristic, complemented
193#478×C71C2211yescharacteristic, complemented
194#466×C71C2211yescharacteristic, complemented
195#465×C71C2211yescharacteristic, complemented
196#463×C71C2211yescharacteristic, complemented
197#449×C71C2211yescharacteristic, complemented
198#447×C71C2211yescharacteristic
199C4×D8×C71C2211yescharacteristic, complemented
200C8×D4×C71C2211yescharacteristic, complemented
201#416×C71C2211yescharacteristic, complemented
202C2×#102×C71C2211yescharacteristic, complemented
203C2×#11765865C2311yescharacteristic
204C2×#11765864—21no—
205C2×#11765864—21no—
206C2×#11765864D411yescharacteristic
207C22×D284C2311yescharacteristic
208C22×C22⋊D71—21no—
209C2×D4×D71—21no—
210C2×D4×D71C2311yescharacteristic
211C2×D4×D71C2311yescharacteristic
212C23×Dic71—21no—
213C22×C4×D71—21no—
214C22×C4×D71—21no—
215C22×C4×D71—21no—
216#14556148—24no—
217C2×#11765855C2311yescharacteristic
218C2×#11765854C2311yescharacteristic
219C2×#11765853C2311yescharacteristic
220C2×#11765853C2311yescharacteristic
221C2×#11765852C2311yescharacteristic
222C2×#11765852C2311yescharacteristic
223C2×D568C2311yescharacteristic
224C2×D568C2311yescharacteristic
225C2×#11765850—24no—
226C2×#11765850C2311yescharacteristic
227C2×#11765850C2311yescharacteristic
228C2×#11765850C2311yescharacteristic
229C2×#11765850C2311yescharacteristic
230C2×#11765850C2311yescharacteristic
231D8×D71—24no—
232C22×C71⋊C8C2311yescharacteristic
233C22×C71⋊C8C2311yescharacteristic
234C2×C8×D71C2311yescharacteristic
235C2×C8×D71C2311yescharacteristic
236#14556127C2311yescharacteristic
237#14556127C2311yescharacteristic
238#14556124C2311yescharacteristic
239#14556124C2311yescharacteristic
240#14556123—21no—
241#14556123—21no—
242#14556123—21no—
243#14556122—21no—
244#14556121—21no—
245#14556121—21no—
246#14556121—21no—
247#14556120C2311yescharacteristic
248#14556119C2311yescharacteristic
249#14556119C2311yescharacteristic
250#14556118—21no—
251#14556118—21no—
252#14556117C2311yescharacteristic
253#14556116C2311yescharacteristic
254#14556115C2311yescharacteristic
255#14556114—21no—
256#14556114—21no—
257#14556114—21no—
258#14556114—21no—
259#14556113—21no—
260#14556113—21no—
261#14556112—21no—
262#14556112—21no—
263#14556111—21no—
264#14556111—21no—
265#14556110—21no—
266#14556110—21no—
267#14556110—21no—
268#14556110—21no—
269#14556110—21no—
270#14556110—21no—
271#14556109—21no—
272#14556109—21no—
273#14556108—21no—
274#14556108—21no—
275#14556108C2311yescharacteristic
276#14556107—21no—
277#14556107—21no—
278#14556107C2311yescharacteristic
279#14556106—21no—
280#14556106—21no—
281#14556106—21no—
282#14556105—21no—
283#14556105—21no—
284#14556105—21no—
285#14556104C2311yescharacteristic
286#14556103C2311yescharacteristic
287#14556102C2311yescharacteristic
288#14556102C2311yescharacteristic
289#14556102C2311yescharacteristic
290#14556101—21no—
291#14556101—21no—
292#14556101—21no—
293#14556100—21no—
294#14556100—21no—
295#14556100—21no—
296#14556100—21no—
297#14556100—21no—
298#14556099—21no—
299#14556099—21no—
300#14556099C2311yescharacteristic
301#14556098—21no—
302#14556097—21no—
303#14556096—21no—
304#14556096—21no—
305#14556096—21no—
306#14556096—21no—
307#14556096—21no—
308Q8×Dic71C2311yescharacteristic
309Q8×Dic71C2311yescharacteristic
310C4×Dic142C2311yescharacteristic
311#14556093D411yescharacteristic
312#14556093C2311yescharacteristic
313#14556093C2311yescharacteristic
314C4×D284—21no—
315C4×D284C2311yescharacteristic
316C4×D284C2311yescharacteristic
317D4×Dic71—21no—
318D4×Dic71—21no—
319D4×Dic71—21no—
320D4×Dic71—21no—
321D4×Dic71—21no—
322D4×Dic71D411yescharacteristic
323D4×Dic71C2311yescharacteristic
324D4×Dic71C2311yescharacteristic
325D4×Dic71C2311yescharacteristic
326D4×Dic71C2311yescharacteristic
327D4×Dic71C2311yescharacteristic
328D4×Dic71C2311yescharacteristic
329#14556090—21no—
330#14556090—21no—
331#14556090—21no—
332#14556090C2311yescharacteristic
333#14556090C2311yescharacteristic
334#14556090C2311yescharacteristic
335#14556090C2311yescharacteristic
336#14556090C2311yescharacteristic
337#14556090C2311yescharacteristic
338C4×C22⋊D71—21no—
339C4×C22⋊D71—21no—
340C4×C22⋊D71—21no—
341C4×C22⋊D71—21no—
342C4×C22⋊D71C2311yescharacteristic
343C4×C22⋊D71C2311yescharacteristic
344(C22⋊D71)⋊C4—21no—
345(C22⋊D71)⋊C4—21no—
346(C22⋊D71)⋊C4—21no—
347(C22⋊D71)⋊C4—21no—
348(C22⋊D71)⋊C4—21no—
349(C22⋊D71)⋊C4—21no—
350(C22⋊D71)⋊C4—21no—
351(C22⋊D71)⋊C4—21no—
352(C22⋊D71)⋊C4—21no—
353(C22⋊D71)⋊C4—21no—
354(C22⋊D71)⋊C4—21no—
355(C22⋊D71)⋊C4—21no—
356(C22⋊D71)⋊C4D411yescharacteristic
357(C22⋊D71)⋊C4D411yescharacteristic
358#14556087—21no—
359#14556087C2311yescharacteristic
360#14556086—21no—
361#14556086—21no—
362#14556086D411yescharacteristic
363#14556085—21no—
364#14556084—21no—
365#14556084—21no—
366#14556084D411yescharacteristic
367#14556084D411yescharacteristic
368C2×C4⋊Dic71C2311yescharacteristic
369C2×Dic71⋊C4—21no—
370C4⋊C4×D71—21no—
371C4⋊C4×D71C2311yescharacteristic
372C4⋊C4×D71C2311yescharacteristic
373C2×C22⋊Dic71—21no—
374C2×(C2×D71)⋊C4—21no—
375C2×(C2×D71)⋊C4—21no—
376C22⋊C4×D71—21no—
377C22⋊C4×D71—21no—
378C22⋊C4×D71—21no—
379C22⋊C4×D71—21no—
380C2×C4×Dic71—21no—
381C2×C4×Dic71C2311yescharacteristic
382C2×C4×Dic71C2311yescharacteristic
383C42×D71—21no—
384C42×D71C2311yescharacteristic
385#14556062C2311yescharacteristic
386#14556062C2311yescharacteristic
387#14556061C2311yescharacteristic
388#14556061C2311yescharacteristic
389#14556061C2311yescharacteristic
390#14556061C2311yescharacteristic
391#14556061C2311yescharacteristic
392#14556061C2311yescharacteristic
393#14556060C2311yescharacteristic
394#14556059C2311yescharacteristic
395#14556059C2311yescharacteristic
396#14556059C2311yescharacteristic
397#14556059C2311yescharacteristic
398C4⋊(C71⋊C8)C2311yescharacteristic
399Dic71⋊C8C2311yescharacteristic
400Dic71⋊C8C2311yescharacteristic
401Dic71⋊C8C2311yescharacteristic
402Dic71⋊C8C2311yescharacteristic
403#14556053C2311yescharacteristic
404#14556053C2311yescharacteristic
405#14556053C2311yescharacteristic
406#14556052C2311yescharacteristic
407#14556051C2311yescharacteristic
408#14556050C2311yescharacteristic
409#14556050C2311yescharacteristic
410#14556050C2311yescharacteristic
411#14556050C2311yescharacteristic
412#14556050C2311yescharacteristic
413#14556050C2311yescharacteristic
414#14556050C2311yescharacteristic
415#14556049C2311yescharacteristic
416#14556049C2311yescharacteristic
417#14556049C2311yescharacteristic
418#14556049C2311yescharacteristic
419#14556049C2311yescharacteristic
420#14556048C2311yescharacteristic
421#14556048C2311yescharacteristic
422#14556048C2311yescharacteristic
423#14556048C2311yescharacteristic
424#14556048C2311yescharacteristic
425C22⋊(C71⋊C8)C2311yescharacteristic
426C22⋊(C71⋊C8)C2311yescharacteristic
427(C2×D71)⋊C8C2311yescharacteristic
428(C2×D71)⋊C8C2311yescharacteristic
429C4×C71⋊C8C2311yescharacteristic
430C8×Dic71C2311yescharacteristic
431C8×Dic71C2311yescharacteristic
432C8×Dic71C2311yescharacteristic
433C8×Dic71C2311yescharacteristic
434C8×Dic71C2311yescharacteristic
435C8×Dic71C2311yescharacteristic
436C8×Dic71C2311yescharacteristic
437C8×Dic71C2311yescharacteristic
438C2×#41×C71C2311yescharacteristic
439C22×D4×C71C2311yescharacteristic
440C2×SD16×C71C2311yescharacteristic
441C2×D8×C71C2311yescharacteristic
442C2×D8×C71C2311yescharacteristic
443C22×C8×C71C2311yescharacteristic
444C22×C8×C71C2311yescharacteristic
445#126×C71—21no—
446#125×C71C2311yescharacteristic
447#124×C71C2311yescharacteristic
448#123×C71—21no—
449#123×C71—21no—
450C22⋊Q8×C71C2311yescharacteristic
451#121×C71—21no—
452#121×C71—21no—
453#121×C71C2311yescharacteristic
454#121×C71C2311yescharacteristic
455#121×C71C2311yescharacteristic
456#120×C71—21no—
457C4×D4×C71—21no—
458C4×D4×C71C2311yescharacteristic
459C4×D4×C71C2311yescharacteristic
460C4×D4×C71C2311yescharacteristic
461#117×C71C2311yescharacteristic
462C2×C4⋊C4×C71C2311yescharacteristic
463C2×C22⋊C4×C71—21no—
464#107×C71C2311yescharacteristic
465#107×C71C2311yescharacteristic
466#106×C71C2311yescharacteristic
467C4⋊C8×C71C2311yescharacteristic
468#103×C71C2311yescharacteristic
469#103×C71C2311yescharacteristic
470#103×C71C2311yescharacteristic
471#102×C71C2311yescharacteristic
472#102×C71C2311yescharacteristic
473#102×C71C2311yescharacteristic
474#102×C71C2311yescharacteristic
475#102×C71C2311yescharacteristic
476#102×C71C2311yescharacteristic
477#102×C71C2311yescharacteristic
478C22⋊C8×C71C2311yescharacteristic
479C22⋊C8×C71C2311yescharacteristic
480C4×C8×C71C2311yescharacteristic
481C23×D71—21no—
482C23×D71—21no—
483C23×D71—21no—
484#11765865—22no—
485#11765865—41no—
486#11765864—24no—
487#11765864—82no—
488#11765864—82no—
489C2×Dic142—21no—
490C2×Dic142—21no—
491C2×Dic142C2×D411yescharacteristic
492C2×Dic142C2411yescharacteristic
493C2×D284—22no—
494C2×D284—21no—
495C2×D284—21no—
496C2×D284—41no—
497C2×D284C2411yescharacteristic
498C2×D284C2411yescharacteristic
499C2×D284C2411yescharacteristic
500C2×C22⋊D71—21no—
501C2×C22⋊D71—21no—
502C2×C22⋊D71—21no—
503C2×C22⋊D71—21no—
504C2×C22⋊D71—21no—
505C2×C22⋊D71—21no—
506C2×C22⋊D71—21no—
507C2×C22⋊D71—21no—
508C2×C22⋊D71—21no—
509C2×C22⋊D71—21no—
510C2×C22⋊D71—21no—
511C2×C22⋊D71—44no—
512C2×C22⋊D71C2×D411yescharacteristic
513C2×C22⋊D71C2×D411yescharacteristic
514D4×D71—22no—
515D4×D71—22no—
516D4×D71—41no—
517D4×D71—41no—
518D4×D71—44no—
519C22×Dic71—21no—
520C22×Dic71—21no—
521C22×Dic71—21no—
522C22×Dic71—21no—
523C22×Dic71—21no—
524C22×Dic71—21no—
525C22×Dic71—21no—
526C22×Dic71—82no—
527C22×Dic71C2×D411yescharacteristic
528C22×Dic71C2×D411yescharacteristic
529C22×Dic71C2×D411yescharacteristic
530C22×Dic71C2×D411yescharacteristic
531C2×C4×D71—21no—
532C2×C4×D71—21no—
533C2×C4×D71—21no—
534C2×C4×D71—21no—
535C2×C4×D71—21no—
536C2×C4×D71—21no—
537C2×C4×D71—21no—
538C2×C4×D71—21no—
539C2×C4×D71—21no—
540C2×C4×D71—21no—
541C2×C4×D71—21no—
542C2×C4×D71—82no—
543C2×C4×D71—82no—
544C2×C4×D71—82no—
545C2×C4×D71C2×D411yescharacteristic
546C2×C4×D71C2×D411yescharacteristic
547C2×C4×D71C2411yescharacteristic
548#11765855—22no—
549#11765854—41no—
550#11765853—22no—
551#11765853—41no—
552#11765852—22no—
553#11765852—41no—
554D568—22no—
555D568—41no—
556#11765850—22no—
557#11765850—22no—
558#11765850—22no—
559#11765850—22no—
560#11765850#4114yescomplemented
561C2×C71⋊C8—22no—
562C2×C71⋊C8—22no—
563C2×C71⋊C8C2411yescharacteristic
564C2×C71⋊C8C2411yescharacteristic
565C2×C71⋊C8C2411yescharacteristic
566C2×C71⋊C8C2411yescharacteristic
567C8×D71—22no—
568C8×D71—41no—
569C4⋊Dic71—21no—
570C4⋊Dic71—21no—
571C4⋊Dic71—21no—
572C4⋊Dic71—21no—
573C4⋊Dic71—21no—
574C4⋊Dic71—21no—
575C4⋊Dic71C2×D411yescharacteristic
576C4⋊Dic71C2411yescharacteristic
577C4⋊Dic71C2411yescharacteristic
578C4⋊Dic71C2411yescharacteristic
579C4⋊Dic71C2411yescharacteristic
580Dic71⋊C4—21no—
581Dic71⋊C4—21no—
582Dic71⋊C4—21no—
583Dic71⋊C4—21no—
584Dic71⋊C4—21no—
585Dic71⋊C4—21no—
586Dic71⋊C4—21no—
587Dic71⋊C4—21no—
588Dic71⋊C4—21no—
589Dic71⋊C4—21no—
590Dic71⋊C4—21no—
591Dic71⋊C4—21no—
592Dic71⋊C4C2×D411yescharacteristic
593Dic71⋊C4C2×D411yescharacteristic
594Dic71⋊C4C2×D411yescharacteristic
595Dic71⋊C4C2×D411yescharacteristic
596C22⋊Dic71—21no—
597C22⋊Dic71—21no—
598C22⋊Dic71—21no—
599C22⋊Dic71—21no—
600C22⋊Dic71—21no—
601C22⋊Dic71—21no—
602C22⋊Dic71—21no—
603C22⋊Dic71—21no—
604C22⋊Dic71—21no—
605C22⋊Dic71—21no—
606C22⋊Dic71—21no—
607C22⋊Dic71C2×D411yescharacteristic
608C22⋊Dic71C2×D411yescharacteristic
609(C2×D71)⋊C4—21no—
610(C2×D71)⋊C4—21no—
611(C2×D71)⋊C4—21no—
612(C2×D71)⋊C4—21no—
613(C2×D71)⋊C4—21no—
614(C2×D71)⋊C4—21no—
615(C2×D71)⋊C4—21no—
616(C2×D71)⋊C4—21no—
617(C2×D71)⋊C4—21no—
618(C2×D71)⋊C4—21no—
619(C2×D71)⋊C4—21no—
620(C2×D71)⋊C4—21no—
621(C2×D71)⋊C4—21no—
622(C2×D71)⋊C4—21no—
623(C2×D71)⋊C4—21no—
624(C2×D71)⋊C4—21no—
625(C2×D71)⋊C4—21no—
626(C2×D71)⋊C4—21no—
627(C2×D71)⋊C4C2×D411yescharacteristic
628(C2×D71)⋊C4C2×D411yescharacteristic
629C4×Dic71—21no—
630C4×Dic71—21no—
631C4×Dic71—21no—
632C4×Dic71—21no—
633C4×Dic71—21no—
634C4×Dic71C2×D411yescharacteristic
635C4×Dic71C2×D411yescharacteristic
636C4×Dic71C2×D411yescharacteristic
637C4×Dic71C2×D411yescharacteristic
638C4×Dic71C2×D411yescharacteristic
639C4×Dic71C2×D411yescharacteristic
640C4×Dic71C2411yescharacteristic
641C4×Dic71C2411yescharacteristic
642C4×Dic71C2411yescharacteristic
643C24×C71—21no—
644#41×C71—22no—
645#41×C71—41no—
646C2×Q8×C71C2411yescharacteristic
647C2×D4×C71—22no—
648C2×D4×C71—21no—
649C2×D4×C71—21no—
650C2×D4×C71—21no—
651C2×D4×C71—21no—
652C2×D4×C71—21no—
653C2×D4×C71—41no—
654C2×D4×C71C2×D411yescharacteristic
655C2×D4×C71C2411yescharacteristic
656C2×D4×C71C2411yescharacteristic
657C2×D4×C71C2411yescharacteristic
658C22×C4×C71—21no—
659C22×C4×C71—21no—
660C22×C4×C71—21no—
661C22×C4×C71—21no—
662C22×C4×C71C2411yescharacteristic
663C22×C4×C71C2411yescharacteristic
664SD16×C71—41no—
665D8×C71—22no—
666D8×C71—41no—
667C2×C8×C71—41no—
668C2×C8×C71—41no—
669C2×C8×C71C2411yescharacteristic
670C2×C8×C71C2411yescharacteristic
671C2×C8×C71C2411yescharacteristic
672C2×C8×C71C2411yescharacteristic
673C4⋊C4×C71—21no—
674C4⋊C4×C71—21no—
675C4⋊C4×C71—21no—
676C4⋊C4×C71—21no—
677C4⋊C4×C71C2×D411yescharacteristic
678C4⋊C4×C71C2411yescharacteristic
679C4⋊C4×C71C2411yescharacteristic
680C4⋊C4×C71C2411yescharacteristic
681C4⋊C4×C71C2411yescharacteristic
682C22⋊C4×C71—21no—
683C22⋊C4×C71—21no—
684C22⋊C4×C71—21no—
685C22⋊C4×C71—21no—
686C22⋊C4×C71—21no—
687C22⋊C4×C71—21no—
688C22⋊C4×C71—21no—
689C22⋊C4×C71—21no—
690C22⋊C4×C71—21no—
691C22⋊C4×C71C2×D411yescharacteristic
692C22⋊C4×C71C2×D411yescharacteristic
693C42×C71—21no—
694C42×C71C2411yescharacteristic
695C23×C71—21no—
696C23×C71—21no—
697C23×C71—21no—
698C23×C71—42no—
699C23×C71—42no—
700C23×C71—81no—
701C23×C71C22×D411yescharacteristic
702C23×C71C22×D411yescharacteristic
703C22×D71—21no—
704C22×D71—21no—
705C22×D71—21no—
706C22×D71—42no—
707C22×D71—42no—
708C22×D71—42no—
709C22×D71—42no—
710C22×D71—42no—
711C22×D71—42no—
712C22×D71—81no—
713C22×D71—81no—
714C22×D71—81no—
715C22×D71C22×D411yescharacteristic
716Q8×C71—21no—
717Q8×C71—21no—
718D4×C71—22no—
719D4×C71—21no—
720D4×C71—21no—
721D4×C71—21no—
722D4×C71—21no—
723D4×C71—21no—
724D4×C71—42no—
725D4×C71—42no—
726D4×C71—42no—
727D4×C71—81no—
728D4×C71—81no—
729D4×C71C2×#4112yes—
730C2×C4×C71—21no—
731C2×C4×C71—21no—
732C2×C4×C71—21no—
733C2×C4×C71—21no—
734C2×C4×C71—21no—
735C2×C4×C71—21no—
736C2×C4×C71—21no—
737C2×C4×C71—21no—
738C2×C4×C71—21no—
739C2×C4×C71—42no—
740C2×C4×C71—81no—
741C2×C4×C71—81no—
742C2×C4×C71—81no—
743C2×C4×C71C22×D411yescharacteristic
744C2×C4×C71C22×D411yescharacteristic
745C2×C4×C71C22×D411yescharacteristic
746C2×C4×C71C22×D411yescharacteristic
747C2×C4×C71C2511yescharacteristic
748C22⋊D71—22no—
749C22⋊D71—42no—
750C22⋊D71—42no—
751C22⋊D71—42no—
752C22⋊D71—42no—
753C22⋊D71—42no—
754C22⋊D71—42no—
755C22⋊D71—42no—
756C22⋊D71—81no—
757C22⋊D71—81no—
758C22⋊D71—81no—
759C22⋊D71—81no—
760C22⋊D71#13514yescomplemented
761C2×Dic71—22no—
762C2×Dic71—22no—
763C2×Dic71—22no—
764C2×Dic71—22no—
765C2×Dic71—21no—
766C2×Dic71—21no—
767C2×Dic71—21no—
768C2×Dic71—21no—
769C2×Dic71—21no—
770C2×Dic71—42no—
771C2×Dic71—42no—
772C2×Dic71—42no—
773C2×Dic71—42no—
774C2×Dic71—81no—
775C2×Dic71—81no—
776C2×Dic71—81no—
777C2×Dic71C22×D411yescharacteristic
778C2×Dic71C22×D411yescharacteristic
779C2×Dic71C22×D411yescharacteristic
780C2×Dic71C22×D411yescharacteristic
781C2×Dic71C22×D411yescharacteristic
782C2×Dic71C22×D411yescharacteristic
783C2×Dic71C22×D411yescharacteristic
784D284—21no—
785D284—21no—
786D284—21no—
787D284—21no—
788D284—21no—
789D284—42no—
790D284—42no—
791D284C2×#4112yes—
792C4×D71—22no—
793C4×D71—21no—
794C4×D71—21no—
795C4×D71—22no—
796C4×D71—42no—
797C4×D71—42no—
798C4×D71—42no—
799C4×D71—42no—
800C4×D71—42no—
801C4×D71—81no—
802C4×D71—81no—
803C4×D71—81no—
804C4×D71—81no—
805C4×D71—81no—
806C4×D71—81no—
807Dic142—22no—
808Dic142—21no—
809Dic142—21no—
810Dic142—81no—
811Dic142—81no—
812C8×C71—21no—
813C8×C71—21no—
814C8×C71—21no—
815C8×C71—21no—
816C71⋊C8—21no—
817C71⋊C8—21no—
818C71⋊C8—21no—
819C71⋊C8C2×#4112yes—
820C22×C71—21no—
821C22×C71—21no—
822C22×C71—21no—
823C22×C71—22no—
824C22×C71—21no—
825C22×C71—21no—
826C22×C71—41no—
827C22×C71—41no—
828C22×C71—41no—
829C22×C71—41no—
830C22×C71—41no—
831C22×C71—41no—
832C22×C71—41no—
833C22×C71—41no—
834C22×C71—84no—
835C22×C71C2×#13512yes—
836C22×C71C23×D411yescharacteristic
837C2×D71—21no—
838C2×D71—21no—
839C2×D71—22no—
840C2×D71—41no—
841C2×D71—41no—
842C2×D71—41no—
843C2×D71—41no—
844C2×D71—41no—
845C2×D71—41no—
846C2×D71—41no—
847C2×D71—41no—
848C2×D71—84no—
849C2×D71—84no—
850C2×D71—84no—
851C2×D71C2×#13512yes—
852C4×C71—21no—
853C4×C71—21no—
854C4×C71—21no—
855C4×C71—21no—
856C4×C71—41no—
857C4×C71—41no—
858C4×C71—41no—
859C4×C71—41no—
860C4×C71—41no—
861C4×C71C22×#4111yescharacteristic
862C4×C71#58511yescharacteristic
863Dic71—21no—
864Dic71—21no—
865Dic71—21no—
866Dic71—21no—
867Dic71—21no—
868Dic71—41no—
869Dic71—41no—
870Dic71—41no—
871Dic71—41no—
872Dic71—41no—
873Dic71C2×#13512yes—
874Dic71#57612yes—
875#61431—711nomaximal, Sylow
876C2×C71—22no—
877C2×C71—42no—
878C2×C71—41no—
879C2×C71—81no—
880C2×C71—81no—
881C2×C71D4×#4111yescharacteristic
882C2×C71C22×#13511yescharacteristic
883C2×C71C2×#57611yescharacteristic
884D71—22no—
885D71—42no—
886D71—81no—
887D71—81no—
888#3481—711no—
889#3481—711no—
890#3396—711no—
891#3380—711no—
892#3361—711no—
893#3361—711no—
894#3339—711no—
895#3339—711no—
896#3338—711no—
897#3297—711no—
898#3297—711no—
899#3297—711no—
900#3297D7111yescharacteristic, complemented
901#3295—711no—
902#3295—711no—
903#3280—711no—
904#3280—711no—
905D4×D8—711no—
906#3169—711no—
907#3168—711no—
908#3168—711no—
909#3106—711no—
910#3106—711no—
911#3105—711no—
912#3105—711no—
913#3105—711no—
914#3105—711no—
915C8×#41—711no—
916C4×#135—711no—
917C2×C4×D8—711no—
918C2×C4×D8—711no—
919C71#6143111yescharacteristic, complemented, Sylow
920C2×#135—711no—
921C22×D8—711no—
922C22×D8—711no—
923#559—711no—
924#559—711no—
925#554—711no—
926#554—711no—
927#554—711no—
928#554—711no—
929#553—711no—
930#553—711no—
931#553—711no—
932#553—1421no—
933#553—1421no—
934#553C2×D7111yescharacteristic, complemented
935#551—1421no—
936#551—1421no—
937#551—1421no—
938#551—1421no—
939#546—711no—
940#546—711no—
941#546—711no—
942#546—1421no—
943#546—1421no—
944#546C2×D7111yescharacteristic, complemented
945D42—711no—
946D42—711no—
947#532—711no—
948#532—711no—
949#529—711no—
950#529—711no—
951#529—711no—
952#529—711no—
953#529—1421no—
954#529—1421no—
955#525—1421no—
956#525—1421no—
957#525—1421no—
958#525—1421no—
959C4×#41—711no—
960C4×#41—711no—
961C4×#41—711no—
962C2×C4×D4—711no—
963C2×C4×D4—711no—
964C2×C4×D4—711no—
965C2×C4×D4—711no—
966C2×C4×D4—1421no—
967C2×C4×D4—1421no—
968#500—711no—
969#499—711no—
970#499—711no—
971#495—711no—
972#495—711no—
973#493—711no—
974#488—711no—
975#488—711no—
976#488—711no—
977#488C2×D7111yescharacteristic, complemented
978#486—711no—
979#486—711no—
980#484—711no—
981#484—711no—
982#484—711no—
983#484C2×D7111yescharacteristic, complemented
984#482—711no—
985#482—711no—
986#482—711no—
987#482C2×D7111yescharacteristic, complemented
988#481—711no—
989#481—711no—
990#481—711no—
991#481—711no—
992#478—711no—
993#478—711no—
994#478—711no—
995#478—711no—
996#478—711no—
997#478—711no—
998#478—711no—
999#478C2×D7111yescharacteristic, complemented
1000#477—711no—
1001#477—711no—
1002#476—711no—
1003#476—711no—
1004#467—711no—
1005#467—711no—
1006#466—711no—
1007#466—711no—
1008#466—711no—
1009#466—711no—
1010#466—711no—
1011#466C2×D7111yescharacteristic, complemented
1012#465—711no—
1013#465—711no—
1014#465—711no—
1015#465C2×D7111yescharacteristic, complemented
1016#463—711no—
1017#463—711no—
1018#463—711no—
1019#463—711no—
1020#463—711no—
1021#463—711no—
1022#463—711no—
1023#463C2×D7111yescharacteristic, complemented
1024#460—711no—
1025#460—711no—
1026#459—711no—
1027#459—711no—
1028#450—711no—
1029#450—711no—
1030#450—711no—
1031#450—711no—
1032#449—711no—
1033#449—711no—
1034#449—711no—
1035#449C2×D7111yescharacteristic, complemented
1036#447—711no—
1037#447—711no—
1038#447—711no—
1039#447C2×D7111yescharacteristic
1040C8×Q8—711no—
1041C8×Q8—711no—
1042C4×Q16—711no—
1043C4×Q16—711no—
1044C4×SD16—711no—
1045C4×SD16—711no—
1046C4×SD16—711no—
1047C4×SD16—711no—
1048C4×SD16—711no—
1049C4×SD16—711no—
1050C4×SD16—711no—
1051C4×SD16—711no—
1052C4×D8—711no—
1053C4×D8—711no—
1054C4×D8—711no—
1055C4×D8—711no—
1056C4×D8—711no—
1057C4×D8—711no—
1058C4×D8—711no—
1059C4×D8—711no—
1060C4×D8—711no—
1061C4×D8—711no—
1062C4×D8—711no—
1063C4×D8—711no—
1064C4×D8—711no—
1065C4×D8—711no—
1066C4×D8—711no—
1067C4×D8—711no—
1068C4×D8—711no—
1069C4×D8C2×D7111yescharacteristic, complemented
1070C8×D4—711no—
1071C8×D4—711no—
1072C8×D4—711no—
1073C8×D4—711no—
1074C8×D4—711no—
1075C8×D4C2×D7111yescharacteristic, complemented
1076#431—711no—
1077#431—711no—
1078#431—711no—
1079#427—711no—
1080C2×#107—711no—
1081C2×#107—711no—
1082#416—711no—
1083#416C2×D7111yescharacteristic, complemented
1084C2×#102—711no—
1085C2×#102—711no—
1086C2×#102—711no—
1087C2×#102C2×D7111yescharacteristic, complemented
1088C2×C4×C8—711no—
1089C2×C4×C8—711no—
1090C2×C4×C8—711no—
1091C2×#41—711no—
1092C2×#41—711no—
1093C2×#41—1421no—
1094C2×#41—1421no—
1095C2×#41C22×D7111yescharacteristic
1096C22×D4—711no—
1097C22×D4—711no—
1098C22×D4—711no—
1099C22×D4—1421no—
1100C22×D4—1421no—
1101C22×D4C22×D7111yescharacteristic
1102C23×C4—1421no—
1103C23×C4—1421no—
1104C23×C4—1421no—
1105C23×C4—1421no—
1106#135—1424no—
1107C2×Q16—711no—
1108C2×SD16—711no—
1109C2×SD16—711no—
1110C2×SD16—711no—
1111C2×SD16—711no—
1112C2×SD16—711no—
1113C2×SD16C22×D7111yescharacteristic
1114C2×D8—711no—
1115C2×D8—711no—
1116C2×D8—711no—
1117C2×D8—711no—
1118C2×D8—711no—
1119C2×D8—711no—
1120C2×D8—711no—
1121C2×D8—1424no—
1122C2×D8—1424no—
1123C2×D8C22×D7111yescharacteristic
1124C2×D8C22×D7111yescharacteristic
1125C22×C8—711no—
1126C22×C8—711no—
1127C22×C8—711no—
1128C22×C8—711no—
1129C22×C8C22×D7111yescharacteristic
1130C22×C8C22×D7111yescharacteristic
1131C4⋊Q8—711no—
1132C4⋊Q8—711no—
1133#127—711no—
1134#127—711no—
1135#126—21no—
1136#126—1421no—
1137#126—1421no—
1138#126—1421no—
1139#126—1421no—
1140#126—1421no—
1141#126—1421no—
1142#126—1421no—
1143#125—711no—
1144#125—711no—
1145#125—711no—
1146#125—1421no—
1147#125—1421no—
1148#125C22×D7111yescharacteristic
1149#124—711no—
1150#124—711no—
1151#124—711no—
1152#124—1421no—
1153#124—1421no—
1154#124—1421no—
1155#124—1421no—
1156#124C22×D7111yescharacteristic
1157#123—21no—
1158#123—21no—
1159#123—1421no—
1160#123—1421no—
1161#123—1421no—
1162#123—1421no—
1163#123—1421no—
1164#123—1421no—
1165#123—1421no—
1166#123—1421no—
1167#123—1421no—
1168#123—1421no—
1169#123—1421no—
1170#123—1421no—
1171#123—1421no—
1172#123—1421no—
1173C22⋊Q8—711no—
1174C22⋊Q8—711no—
1175C22⋊Q8—711no—
1176C22⋊Q8—1421no—
1177C22⋊Q8—1421no—
1178C22⋊Q8—1421no—
1179C22⋊Q8—1421no—
1180C22⋊Q8—1421no—
1181C22⋊Q8—1421no—
1182C22⋊Q8—1421no—
1183C22⋊Q8—1421no—
1184C22⋊Q8—1421no—
1185C22⋊Q8—1421no—
1186C22⋊Q8C22×D7111yescharacteristic
1187#121—21no—
1188#121—21no—
1189#121—711no—
1190#121—711no—
1191#121—711no—
1192#121—711no—
1193#121—711no—
1194#121—1421no—
1195#121—1421no—
1196#121—1421no—
1197#121—1421no—
1198#121—1421no—
1199#121—1421no—
1200#121—1421no—
1201#121—1421no—
1202#121—1421no—
1203#121—1421no—
1204#121C22×D7111yescharacteristic
1205#121C22×D7111yescharacteristic
1206#121C22×D7111yescharacteristic
1207#120—21no—
1208#120—1421no—
1209#120—1421no—
1210#120—1421no—
1211#120—1421no—
1212#120—1421no—
1213#120—1421no—
1214#120—1421no—
1215C4×Q8—711no—
1216C4×Q8—711no—
1217C4×Q8—711no—
1218C4×Q8—711no—
1219C4×Q8—711no—
1220C4×Q8—711no—
1221C4×D4—21no—
1222C4×D4—711no—
1223C4×D4—711no—
1224C4×D4—711no—
1225C4×D4—711no—
1226C4×D4—711no—
1227C4×D4—711no—
1228C4×D4—711no—
1229C4×D4—711no—
1230C4×D4—711no—
1231C4×D4—711no—
1232C4×D4—711no—
1233C4×D4—711no—
1234C4×D4—711no—
1235C4×D4—711no—
1236C4×D4—711no—
1237C4×D4—711no—
1238C4×D4—711no—
1239C4×D4—711no—
1240C4×D4—711no—
1241C4×D4—1421no—
1242C4×D4—1421no—
1243C4×D4—1421no—
1244C4×D4—1421no—
1245C4×D4—1421no—
1246C4×D4—1421no—
1247C4×D4—1421no—
1248C4×D4—1421no—
1249C4×D4—1421no—
1250C4×D4—1421no—
1251C4×D4—1421no—
1252C4×D4—1421no—
1253C4×D4—1421no—
1254C4×D4—1421no—
1255C4×D4—1421no—
1256C4×D4—1421no—
1257C4×D4—1421no—
1258C4×D4—1421no—
1259C4×D4—1421no—
1260C4×D4—1421no—
1261C4×D4—1421no—
1262C4×D4—1421no—
1263C4×D4—1421no—
1264C4×D4—1421no—
1265C4×D4—1421no—
1266C4×D4C22×D7111yescharacteristic
1267C4×D4C22×D7111yescharacteristic
1268C4×D4C22×D7111yescharacteristic
1269#117—711no—
1270#117—711no—
1271#117—711no—
1272#117—711no—
1273#117—1421no—
1274#117—1421no—
1275#117—1421no—
1276#117—1421no—
1277#117—1421no—
1278#117—1421no—
1279#117C22×D7111yescharacteristic
1280C2×C4⋊C4—711no—
1281C2×C4⋊C4—711no—
1282C2×C4⋊C4—711no—
1283C2×C4⋊C4—1421no—
1284C2×C4⋊C4—1421no—
1285C2×C4⋊C4C22×D7111yescharacteristic
1286C2×C22⋊C4—21no—
1287C2×C22⋊C4—1421no—
1288C2×C22⋊C4—1421no—
1289C2×C22⋊C4—1421no—
1290C2×C22⋊C4—1421no—
1291C2×C22⋊C4—1421no—
1292C2×C22⋊C4—1421no—
1293C2×C22⋊C4—1421no—
1294C2×C42—711no—
1295C2×C42—711no—
1296C2×C42—711no—
1297C2×C42—1421no—
1298C2×C42—1421no—
1299#107—711no—
1300#107—711no—
1301#107—711no—
1302#107—711no—
1303#107—711no—
1304#107—711no—
1305#107—711no—
1306#107—711no—
1307#107C22×D7111yescharacteristic
1308#107C22×D7111yescharacteristic
1309#106—711no—
1310#106—711no—
1311#106—711no—
1312#106—711no—
1313#106—711no—
1314#106C22×D7111yescharacteristic
1315C4⋊C8—711no—
1316C4⋊C8—711no—
1317C4⋊C8—711no—
1318C4⋊C8—711no—
1319C4⋊C8—711no—
1320C4⋊C8C22×D7111yescharacteristic
1321#103—711no—
1322#103—711no—
1323#103—711no—
1324#103—711no—
1325#103—711no—
1326#103C22×D7111yescharacteristic
1327#103C22×D7111yescharacteristic
1328#103C22×D7111yescharacteristic
1329#102—711no—
1330#102—711no—
1331#102—711no—
1332#102—711no—
1333#102—711no—
1334#102—711no—
1335#102—711no—
1336#102—711no—
1337#102—711no—
1338#102—711no—
1339#102—711no—
1340#102—711no—
1341#102—711no—
1342#102—711no—
1343#102—711no—
1344#102—711no—
1345#102—711no—
1346#102C22×D7111yescharacteristic
1347#102C22×D7111yescharacteristic
1348#102C22×D7111yescharacteristic
1349#102C22×D7111yescharacteristic
1350#102C22×D7111yescharacteristic
1351#102C22×D7111yescharacteristic
1352#102C22×D7111yescharacteristic
1353C22⋊C8—711no—
1354C22⋊C8—711no—
1355C22⋊C8—711no—
1356C22⋊C8—711no—
1357C22⋊C8C22×D7111yescharacteristic
1358C22⋊C8C22×D7111yescharacteristic
1359C4×C8—711no—
1360C4×C8—711no—
1361C4×C8—711no—
1362C4×C8—711no—
1363C4×C8—711no—
1364C4×C8—711no—
1365C4×C8—711no—
1366C4×C8—711no—
1367C4×C8—711no—
1368C4×C8C22×D7111yescharacteristic
1369C24—21no—
1370C24—1421no—
1371C24—1421no—
1372C24—1421no—
1373#41—22no—
1374#41—41no—
1375#41—2841no—
1376#41—5682no—
1377#41—5682no—
1378#41—1422no—
1379#41—1424no—
1380C2×Q8—711no—
1381C2×Q8—711no—
1382C2×Q8—1421no—
1383C2×Q8—1421no—
1384C2×Q8C23×D7111yescharacteristic
1385C2×D4—22no—
1386C2×D4—21no—
1387C2×D4—21no—
1388C2×D4—21no—
1389C2×D4—21no—
1390C2×D4—21no—
1391C2×D4—41no—
1392C2×D4—2841no—
1393C2×D4—2844no—
1394C2×D4—2844no—
1395C2×D4—2841no—
1396C2×D4—2841no—
1397C2×D4—711no—
1398C2×D4—711no—
1399C2×D4—711no—
1400C2×D4—711no—
1401C2×D4—711no—
1402C2×D4—1421no—
1403C2×D4—1422no—
1404C2×D4—1421no—
1405C2×D4—1421no—
1406C2×D4—1421no—
1407C2×D4—1421no—
1408C2×D4—1421no—
1409C2×D4—1421no—
1410C2×D4—1422no—
1411C2×D4—1421no—
1412C2×D4—1421no—
1413C2×D4—1421no—
1414C2×D4—1422no—
1415C2×D4—1421no—
1416C2×D4—1421no—
1417C2×D4—1421no—
1418C2×D4D4×D7111yescharacteristic
1419C2×D4C23×D7111yescharacteristic
1420C2×D4C23×D7111yescharacteristic
1421C2×D4C23×D7111yescharacteristic
1422C22×C4—21no—
1423C22×C4—21no—
1424C22×C4—21no—
1425C22×C4—21no—
1426C22×C4—5682no—
1427C22×C4—5682no—
1428C22×C4—5682no—
1429C22×C4—5682no—
1430C22×C4—711no—
1431C22×C4—711no—
1432C22×C4—711no—
1433C22×C4—711no—
1434C22×C4—711no—
1435C22×C4—711no—
1436C22×C4—711no—
1437C22×C4—1421no—
1438C22×C4—1421no—
1439C22×C4—1421no—
1440C22×C4—1421no—
1441C22×C4—1421no—
1442C22×C4—1421no—
1443C22×C4—1421no—
1444C22×C4—1421no—
1445C22×C4—1421no—
1446C22×C4—1421no—
1447C22×C4—1421no—
1448C22×C4—1421no—
1449C22×C4—1421no—
1450C22×C4—1421no—
1451C22×C4—1421no—
1452C22×C4—1421no—
1453C22×C4—1421no—
1454C22×C4—1421no—
1455C22×C4C23×D7111yescharacteristic
1456C22×C4C23×D7111yescharacteristic
1457Q16—1422no—
1458SD16—41no—
1459SD16—2841no—
1460SD16—2841no—
1461SD16—2841no—
1462SD16—1422no—
1463SD16—1422no—
1464D8—22no—
1465D8—41no—
1466D8—2841no—
1467D8—714no—
1468D8—1422no—
1469D8—1422no—
1470D8—1422no—
1471D8—1422no—
1472D8—1422no—
1473C2×C8—41no—
1474C2×C8—41no—
1475C2×C8—2841no—
1476C2×C8—711no—
1477C2×C8—711no—
1478C2×C8—711no—
1479C2×C8—711no—
1480C2×C8—1422no—
1481C2×C8—1422no—
1482C2×C8—1422no—
1483C2×C8C23×D7111yescharacteristic
1484C2×C8C23×D7111yescharacteristic
1485C2×C8C23×D7111yescharacteristic
1486C2×C8C23×D7111yescharacteristic
1487C4⋊C4—21no—
1488C4⋊C4—21no—
1489C4⋊C4—21no—
1490C4⋊C4—21no—
1491C4⋊C4—711no—
1492C4⋊C4—711no—
1493C4⋊C4—711no—
1494C4⋊C4—711no—
1495C4⋊C4—711no—
1496C4⋊C4—711no—
1497C4⋊C4—711no—
1498C4⋊C4—711no—
1499C4⋊C4—711no—
1500C4⋊C4—1421no—
1501C4⋊C4—1421no—
1502C4⋊C4—1421no—
1503C4⋊C4—1421no—
1504C4⋊C4—1421no—
1505C4⋊C4—1421no—
1506C4⋊C4—1421no—
1507C4⋊C4—1421no—
1508C4⋊C4—1421no—
1509C4⋊C4—1421no—
1510C4⋊C4—1421no—
1511C4⋊C4—1421no—
1512C4⋊C4—1421no—
1513C4⋊C4—1421no—
1514C4⋊C4—1421no—
1515C4⋊C4—1421no—
1516C4⋊C4—1421no—
1517C4⋊C4—1421no—
1518C4⋊C4D4×D7111yescharacteristic
1519C4⋊C4C23×D7111yescharacteristic
1520C4⋊C4C23×D7111yescharacteristic
1521C4⋊C4C23×D7111yescharacteristic
1522C4⋊C4C23×D7111yescharacteristic
1523C22⋊C4—21no—
1524C22⋊C4—21no—
1525C22⋊C4—21no—
1526C22⋊C4—21no—
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—711no—
1533C22⋊C4—711no—
1534C22⋊C4—711no—
1535C22⋊C4—711no—
1536C22⋊C4—1421no—
1537C22⋊C4—1421no—
1538C22⋊C4—1421no—
1539C22⋊C4—1421no—
1540C22⋊C4—1421no—
1541C22⋊C4—1421no—
1542C22⋊C4—1421no—
1543C22⋊C4—1421no—
1544C22⋊C4—1421no—
1545C22⋊C4—1421no—
1546C22⋊C4—1421no—
1547C22⋊C4—1421no—
1548C22⋊C4—1421no—
1549C22⋊C4—1421no—
1550C22⋊C4—1421no—
1551C22⋊C4—1421no—
1552C22⋊C4—1421no—
1553C22⋊C4—1421no—
1554C22⋊C4—1421no—
1555C22⋊C4—1421no—
1556C22⋊C4—1421no—
1557C22⋊C4—1421no—
1558C22⋊C4—1421no—
1559C22⋊C4—1421no—
1560C22⋊C4—1421no—
1561C22⋊C4—1421no—
1562C22⋊C4—1421no—
1563C22⋊C4—1421no—
1564C22⋊C4—1421no—
1565C22⋊C4D4×D7111yescharacteristic
1566C22⋊C4D4×D7111yescharacteristic
1567C42—21no—
1568C42—711no—
1569C42—711no—
1570C42—711no—
1571C42—711no—
1572C42—711no—
1573C42—711no—
1574C42—711no—
1575C42—711no—
1576C42—711no—
1577C42—1421no—
1578C42—1421no—
1579C42—1421no—
1580C42—1421no—
1581C42—1421no—
1582C42C23×D7111yescharacteristic
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—42no—
1587C23—42no—
1588C23—81no—
1589C23—2842no—
1590C23—2842no—
1591C23—2842no—
1592C23—2842no—
1593C23—2842no—
1594C23—2842no—
1595C23—5681no—
1596C23—5681no—
1597C23—5681no—
1598C23—711no—
1599C23—1421no—
1600C23—1421no—
1601C23—1421no—
1602C23C2×D4×D7111yescharacteristic
1603C23C2×D4×D7111yescharacteristic
1604Q8—21no—
1605Q8—21no—
1606Q8—5681no—
1607Q8—5681no—
1608Q8—1422no—
1609Q8—1421no—
1610Q8—1421no—
1611D4—22no—
1612D4—21no—
1613D4—21no—
1614D4—21no—
1615D4—21no—
1616D4—21no—
1617D4—42no—
1618D4—42no—
1619D4—42no—
1620D4—81no—
1621D4—81no—
1622D4—2842no—
1623D4—2842no—
1624D4—2842no—
1625D4—2842no—
1626D4—2842no—
1627D4—2842no—
1628D4—2842no—
1629D4—2842no—
1630D4—2842no—
1631D4—5681no—
1632D4—5681no—
1633D4—5681no—
1634D4—5681no—
1635D4—714no—
1636D4—712no—
1637D4—1422no—
1638D4—1421no—
1639D4—1421no—
1640D4—1421no—
1641D4—1421no—
1642D4—1421no—
1643D4#41×D7112yes—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—42no—
1654C2×C4—81no—
1655C2×C4—81no—
1656C2×C4—81no—
1657C2×C4—2842no—
1658C2×C4—2842no—
1659C2×C4—2842no—
1660C2×C4—2842no—
1661C2×C4—2842no—
1662C2×C4—2842no—
1663C2×C4—2842no—
1664C2×C4—2842no—
1665C2×C4—2842no—
1666C2×C4—5681no—
1667C2×C4—5681no—
1668C2×C4—5681no—
1669C2×C4—5681no—
1670C2×C4—5681no—
1671C2×C4—5681no—
1672C2×C4—5681no—
1673C2×C4—5681no—
1674C2×C4—5681no—
1675C2×C4—711no—
1676C2×C4—711no—
1677C2×C4—711no—
1678C2×C4—711no—
1679C2×C4—711no—
1680C2×C4—711no—
1681C2×C4—711no—
1682C2×C4—1422no—
1683C2×C4—1422no—
1684C2×C4—1421no—
1685C2×C4—1421no—
1686C2×C4—1421no—
1687C2×C4—1421no—
1688C2×C4—1421no—
1689C2×C4—1422no—
1690C2×C4—1422no—
1691C2×C4—1422no—
1692C2×C4—1422no—
1693C2×C4—1421no—
1694C2×C4—1421no—
1695C2×C4C2×D4×D7111yescharacteristic
1696C2×C4C2×D4×D7111yescharacteristic
1697C2×C4C2×D4×D7111yescharacteristic
1698C2×C4C2×D4×D7111yescharacteristic
1699C2×C4C24×D7111yescharacteristic
1700C8—21no—
1701C8—21no—
1702C8—21no—
1703C8—21no—
1704C8—712no—
1705C8—1421no—
1706C8—1421no—
1707C8—1421no—
1708C22—21no—
1709C22—21no—
1710C22—21no—
1711C22—21no—
1712C22—21no—
1713C22—22no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—84no—
1723C22—2841no—
1724C22—2841no—
1725C22—2841no—
1726C22—2841no—
1727C22—2841no—
1728C22—2841no—
1729C22—2841no—
1730C22—2841no—
1731C22—5684no—
1732C22—5684no—
1733C22—5684no—
1734C22—712no—
1735C22—1422no—
1736C22—1421no—
1737C22—1421no—
1738C22#135×D7112yes—
1739C22C22×D4×D7111yescharacteristic
1740C4—21no—
1741C4—21no—
1742C4—21no—
1743C4—21no—
1744C4—41no—
1745C4—41no—
1746C4—41no—
1747C4—41no—
1748C4—41no—
1749C4—2841no—
1750C4—2841no—
1751C4—2841no—
1752C4—2841no—
1753C4—2841no—
1754C4—712no—
1755C4—712no—
1756C4—1421no—
1757C4—1421no—
1758C4—1421no—
1759C4—1421no—
1760C4—1421no—
1761C4C2×#41×D7111yescharacteristic
1762C4#1798683411yescharacteristic
1763C2—22no—
1764C2—41no—
1765C2—42no—
1766C2—81no—
1767C2—81no—
1768C2—2842no—
1769C2—5681no—
1770C2—5681no—
1771C2—1422no—
1772C2#2260182411yescharacteristic
1773C2C2×#135×D7111yescharacteristic
1774C2#576×D7111yescharacteristic
subgroupG/H
centerC22C22×D4×D71
commutator, cosocleC2×C4×C71C25
FrattiniC2×C4C24×D71
FittingC71×#3297C2
socleC22×C71C23×D4
hypercenter#3297D71
hypocenterC71#61431
LCSG ▷ C2×C4×C71 ▷ C2×C71 ▷ C71
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3297

Complements

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

NH ≅ G/Ntype
1. #22601947C2semidirect
2. #22601945C2semidirect
3. #22601347C2semidirect
4. #22601202C2semidirect
5. #22601001C2semidirect
6. #22600997C2semidirect
7. #22600736C2semidirect
8. #22600735C2semidirect
9. #22600727C2semidirect
10. #22600192C2semidirect
11. #22600191C2semidirect
12. #22600185C2semidirect
13. #22600160C2semidirect
14. #22600159C2semidirect
15. #22600023C2semidirect
16. #22600021C2semidirect
17. #22600010C2semidirect
18. #22598914C2semidirect
19. #22598909C2semidirect
20. #22598903C2semidirect
21. #22598395C2semidirect
22. #22598393C2semidirect
23. #22598392C2semidirect
24. #22598390C2semidirect
25. #22598386C2semidirect
26. #22598382C2semidirect
27. C8×#11765864C2semidirect
28. #22597108C2semidirect
29. C2×#17986079C2semidirect
30. C4×D8×D71C2semidirect
31. C71×#3297C2semidirect
35. #17986732C22semidirect
36. #17986731C22semidirect
37. #17986708C22semidirect
39. #17986705C22semidirect
41. #17986696C22semidirect
42. #17986695C22semidirect
44. #17986693C22semidirect
50. #17986646C22semidirect
51. #17986645C22semidirect
53. #17986637C22semidirect
57. #17986544C22semidirect
58. #17986544C22semidirect
59. #17986535C22semidirect
60. #17986534C22semidirect
62. #17986530C22semidirect
63. #17986528C22semidirect
69. #41×Dic71C22semidirect
70. #17986467C22semidirect
72. C2×D4×Dic71C22semidirect
73. C2×#14556090C22semidirect
76. C4×D4×D71C22semidirect
77. C4×D4×D71C22semidirect
78. #17986403C22semidirect
79. #17986399C22semidirect
80. #17986398C22semidirect
81. #17986381C22semidirect
82. #17986380C22semidirect
84. #17986355C22semidirect
85. #17986354C22semidirect
86. #17986352C22semidirect
87. #17986344C22semidirect
88. #17986344C22semidirect
89. #17986336C22semidirect
90. #17986335C22semidirect
91. #17986333C22semidirect
92. #17986324C22semidirect
93. #17986323C22semidirect
94. #17986320C22semidirect
95. #17986319C22semidirect
96. #17986317C22semidirect
97. #17986316C22semidirect
98. #17986315C22semidirect
99. #17986302C22semidirect
100. #17986302C22semidirect
101. #17986300C22semidirect
102. #17986299C22semidirect
103. #17986297C22semidirect
104. #17986297C22semidirect
105. #17986296C22semidirect
106. #17986293C22semidirect
107. #17986292C22semidirect
108. #17986288C22semidirect
109. #17986287C22semidirect
110. #17986239C22semidirect
111. #17986238C22semidirect
112. #17986235C22semidirect
115. #17986233C22semidirect
116. #17986233C22semidirect
117. #17986231C22semidirect
118. #17986228C22semidirect
119. #17986227C22semidirect
120. #17986217C22semidirect
121. #17986217C22semidirect
122. #17986215C22semidirect
123. #17986214C22semidirect
124. #17986212C22semidirect
125. #17986212C22semidirect
126. #17986211C22semidirect
127. #17986198C22semidirect
128. #17986197C22semidirect
131. #17986151C22semidirect
132. #17986150C22semidirect
133. #17986149C22semidirect
134. #17986148C22semidirect
135. #17986146C22semidirect
136. #17986144C22semidirect
137. #17986142C22semidirect
141. C8×Dic142C22semidirect
142. #17986123C22semidirect
143. #17986091C22semidirect
144. #17986091C22semidirect
145. #17986090C22semidirect
146. #17986090C22semidirect
147. #17986090C22semidirect
148. SD16×Dic71C22semidirect
149. #17986086C22semidirect
150. #17986084C22semidirect
151. #17986084C22semidirect
152. #17986084C22semidirect
153. C4×D568C22semidirect
154. D8×Dic71C22semidirect
155. D8×Dic71C22semidirect
156. #17986081C22semidirect
157. #17986081C22semidirect
159. C4×#11765850C22semidirect
163. #17986079C22semidirect
164. #17986079C22semidirect
165. #17986079C22semidirect
166. #17986079C22semidirect
167. #17986079C22semidirect
168. #17986079C22semidirect
169. #17986079C22semidirect
170. D4×C71⋊C8C22semidirect
172. C8×C22⋊D71C22semidirect
174. (C22⋊D71)⋊C8C22semidirect
175. #17986051C22semidirect
176. #17986049C22semidirect
177. #17986049C22semidirect
178. #17986035C22semidirect
179. C2×#14556061C22semidirect
180. #107×D71C22semidirect
181. #17985996C22semidirect
182. C2×#14556050C22semidirect
183. #102×D71C22semidirect
184. #102×D71C22semidirect
185. C2×C8×Dic71C22semidirect
186. C2×C8×Dic71C22semidirect
187. C4×C8×D71C22semidirect
188. #553×C71C22semidirect
189. #546×C71C22semidirect
190. #488×C71C22semidirect
191. #484×C71C22semidirect
192. #482×C71C22semidirect
193. #478×C71C22semidirect
194. #466×C71C22semidirect
195. #465×C71C22semidirect
196. #463×C71C22semidirect
197. #449×C71C22semidirect
199. C4×D8×C71C22semidirect
200. C8×D4×C71C22semidirect
201. #416×C71C22semidirect
202. C2×#102×C71C22semidirect
560. #11765850#41semidirect
760. C22⋊D71#135semidirect
900. #3297D71semidirect
919. C71#61431semidirect
934. #553C2×D71semidirect
944. #546C2×D71semidirect
977. #488C2×D71semidirect
983. #484C2×D71semidirect
987. #482C2×D71semidirect
999. #478C2×D71semidirect
1011. #466C2×D71semidirect
1015. #465C2×D71semidirect
1023. #463C2×D71semidirect
1035. #449C2×D71semidirect
1069. C4×D8C2×D71semidirect
1075. C8×D4C2×D71semidirect
1083. #416C2×D71semidirect
1087. C2×#102C2×D71semidirect

Maximal subgroups

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

subgroupindex
#226019472
#226019452
#226013472
#226012022
#226010012
#226009972
#226007362
#226007352
#226007272
#226001922
#226001912
#226001852
#226001602
#226001592
#226000232
#226000212
#226000102
#225989142
#225989092
#225989032
#225983952
#225983932
#225983922
#225983902
#225983862
#225983822
C8×#117658642
#225971082
C2×#179860792
C4×D8×D712
C71×#32972
#6143171