Finite Group Databasebeta

← #33971607

Subgroups — #33971607

Order 18688.

2086 conjugacy classes of subgroups.

The subgroup lattice has 1882 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624239C211yesmaximal, characteristic, complemented
2#22623578C211yesmaximal, characteristic, complemented
3#22622223C211yesmaximal, characteristic, complemented
4#22622182C211yesmaximal, characteristic, complemented
5#22622120C211yesmaximal, characteristic, complemented
6#22622105C211yesmaximal, characteristic, complemented
7#22621988C211yesmaximal, characteristic, complemented
8#22621928C211yesmaximal, characteristic, complemented
9#22621824C211yesmaximal, characteristic, complemented
10#22621791C211yesmaximal, characteristic, complemented
11#22621635C211yesmaximal, characteristic, complemented
12#22621624C211yesmaximal, characteristic, complemented
13#22621590C211yesmaximal, characteristic, complemented
14#22621560C211yesmaximal, characteristic, complemented
15#22621514C211yesmaximal, characteristic, complemented
16#22621439C211yesmaximal, characteristic, complemented
17#22621438C211yesmaximal, characteristic, complemented
18#22621423C211yesmaximal, characteristic, complemented
19#22621044C211yesmaximal, characteristic, complemented
20#22620990C211yesmaximal, characteristic, complemented
21#22620819C211yesmaximal, characteristic, complemented
22#22620805C211yesmaximal, characteristic, complemented
23#22620741C211yesmaximal, characteristic, complemented
24#22620218C211yesmaximal, characteristic, complemented
25#22620163C211yesmaximal, characteristic, complemented
26#22619250C211yesmaximal, characteristic, complemented
27#22619214C211yesmaximal, characteristic, complemented
28#22619164C211yesmaximal, characteristic, complemented
29C2×#17988728C211yesmaximal, characteristic, complemented
30#22618976C211yesmaximal, characteristic, complemented
31C73×#3191C211yesmaximal, characteristic, complemented
32C2×#14556638C2211yescharacteristic, complemented
33C23×Dic146C2211yescharacteristic, complemented
34C2×#14556623C2211yescharacteristic, complemented
35C2×#14556621C2211yescharacteristic, complemented
36C2×#14556621C2211yescharacteristic, complemented
37C2×#14556615C2211yescharacteristic, complemented
38C2×#14556612C2211yescharacteristic, complemented
39C22×#11924017C2211yescharacteristic
40C22×#11924017C2211yescharacteristic
41C2×SD16×D73C2211yescharacteristic, complemented
42#17989334—21no—
43#17989327—21no—
44#17989300C2211yescharacteristic
45#17989281C2211yescharacteristic
46#17989279C2211yescharacteristic
47#17989266—21no—
48#17989256C2211yescharacteristic
49D4×Dic146—21no—
50D4×Dic146—21no—
51#17989250C2211yescharacteristic
52#17989250C2211yescharacteristic, complemented
53#17989250C2211yescharacteristic, complemented
54#17989250C2211yescharacteristic, complemented
55#17989246—21no—
56#17989246—21no—
57#17989243C2211yescharacteristic
58#17989243C2211yescharacteristic, complemented
59#17989243C2211yescharacteristic, complemented
60#17989243C2211yescharacteristic, complemented
61#17989237C2211yescharacteristic
62#17989232—21no—
63#17989228C2211yescharacteristic
64#17989225C2211yescharacteristic
65#17989221C2211yescharacteristic
66#17989210C2211yescharacteristic
67#17989190C2211yescharacteristic
68#17989188—21no—
69#17989170—21no—
70#17989167C2211yescharacteristic
71#17989163C2211yescharacteristic, complemented
72#17989159—21no—
73#17989159—21no—
74#17989158C2211yescharacteristic, complemented
75#17989153C2211yescharacteristic
76#17989152—21no—
77#17989147—21no—
78#17989098C2211yescharacteristic
79#17989093—21no—
80#17989093—21no—
81C2×#14556565C2211yescharacteristic
82#17989064C2211yescharacteristic, complemented
83#17988980C2211yescharacteristic, complemented
84#17988975C2211yescharacteristic, complemented
85#17988968C2211yescharacteristic, complemented
86#17988958C2211yescharacteristic, complemented
87#17988954C2211yescharacteristic, complemented
88#17988945C2211yescharacteristic, complemented
89#17988940C2211yescharacteristic, complemented
90#17988936C2211yescharacteristic, complemented
91#17988931C2211yescharacteristic, complemented
92#17988930C2211yescharacteristic, complemented
93#17988924C2211yescharacteristic, complemented
94#17988919C2211yescharacteristic, complemented
95#17988915C2211yescharacteristic, complemented
96#17988911C2211yescharacteristic
97#17988911C2211yescharacteristic, complemented
98#17988898C2211yescharacteristic, complemented
99#17988897C2211yescharacteristic, complemented
100#17988893C2211yescharacteristic, complemented
101#17988881C2211yescharacteristic, complemented
102#17988871C2211yescharacteristic, complemented
103#17988844C2211yescharacteristic, complemented
104#17988838C2211yescharacteristic
105#17988838C2211yescharacteristic, complemented
106#17988835C2211yescharacteristic
107#17988835C2211yescharacteristic, complemented
108#17988834C2211yescharacteristic, complemented
109#17988834C2211yescharacteristic, complemented
110#17988832C2211yescharacteristic, complemented
111#17988827C2211yescharacteristic, complemented
112#17988817C2211yescharacteristic, complemented
113#17988817C2211yescharacteristic, complemented
114#17988815C2211yescharacteristic, complemented
115#17988812C2211yescharacteristic, complemented
116#17988812C2211yescharacteristic, complemented
117#17988807C2211yescharacteristic, complemented
118#17988801C2211yescharacteristic, complemented
119#17988801C2211yescharacteristic, complemented
120#17988800C2211yescharacteristic, complemented
121#17988795C2211yescharacteristic, complemented
122#17988791C2211yescharacteristic, complemented
123#17988791C2211yescharacteristic, complemented
124#17988790C2211yescharacteristic, complemented
125#17988786C2211yescharacteristic, complemented
126#17988786C2211yescharacteristic, complemented
127#17988752C2211yescharacteristic, complemented
128#17988752C2211yescharacteristic, complemented
129#17988746C2211yescharacteristic, complemented
130#17988742C2211yescharacteristic, complemented
131#17988742C2211yescharacteristic, complemented
132#17988742C2211yescharacteristic, complemented
133#17988742C2211yescharacteristic, complemented
134#17988741C2211yescharacteristic, complemented
135#17988739C2211yescharacteristic, complemented
136#17988739C2211yescharacteristic, complemented
137#17988737C2211yescharacteristic
138#17988733C2211yescharacteristic, complemented
139#17988733C2211yescharacteristic, complemented
140#17988732C2211yescharacteristic
141#17988732C2211yescharacteristic, complemented
142#17988729C2211yescharacteristic, complemented
143#17988728C2211yescharacteristic
144#17988728C2211yescharacteristic
145#17988728C2211yescharacteristic
146#17988728C2211yescharacteristic
147#17988728C2211yescharacteristic, complemented
148#17988728C2211yescharacteristic, complemented
149#17988728C2211yescharacteristic, complemented
150#17988728C2211yescharacteristic, complemented
151#17988727C2211yescharacteristic, complemented
152#17988727C2211yescharacteristic, complemented
153#17988725C2211yescharacteristic
154#17988725C2211yescharacteristic
155#17988725C2211yescharacteristic, complemented
156#17988725C2211yescharacteristic, complemented
157#17988724C2211yescharacteristic, complemented
158#17988720C2211yescharacteristic
159#17988691C2211yescharacteristic, complemented
160#17988686C2211yescharacteristic, complemented
161#17988686C2211yescharacteristic, complemented
162#17988684C2211yescharacteristic, complemented
163#17988679C2211yescharacteristic, complemented
164#17988678C2211yescharacteristic, complemented
165#17988674C2211yescharacteristic, complemented
166#17988674C2211yescharacteristic, complemented
167#17988662C2211yescharacteristic, complemented
168#17988662C2211yescharacteristic, complemented
169#17988661C2211yescharacteristic, complemented
170#17988661C2211yescharacteristic, complemented
171#17988658C2211yescharacteristic
172#17988658C2211yescharacteristic, complemented
173C8×C22⋊D73C2211yescharacteristic
174C8×C22⋊D73C2211yescharacteristic, complemented
175#17988645C2211yescharacteristic, complemented
176#17988645C2211yescharacteristic, complemented
177#17988595C2211yescharacteristic, complemented
178#17988595C2211yescharacteristic, complemented
179#17988594C2211yescharacteristic, complemented
180#17988585C2211yescharacteristic, complemented
181#17988580C2211yescharacteristic, complemented
182C2×#14556516C2211yescharacteristic, complemented
183C2×#14556516C2211yescharacteristic, complemented
184#103×D73C2211yescharacteristic, complemented
185#17988552C2211yescharacteristic, complemented
186#17988552C2211yescharacteristic, complemented
187#17988551C2211yescharacteristic, complemented
188#525×C73C2211yescharacteristic
189#525×C73C2211yescharacteristic, complemented
190#485×C73C2211yescharacteristic, complemented
191#485×C73C2211yescharacteristic, complemented
192#482×C73C2211yescharacteristic, complemented
193#482×C73C2211yescharacteristic, complemented
194#467×C73C2211yescharacteristic, complemented
195#466×C73C2211yescharacteristic
196#465×C73C2211yescharacteristic
197#465×C73C2211yescharacteristic, complemented
198#452×C73C2211yescharacteristic, complemented
199#452×C73C2211yescharacteristic, complemented
200#449×C73C2211yescharacteristic, complemented
201#449×C73C2211yescharacteristic, complemented
202C2×C22⋊C8×C73C2211yescharacteristic, complemented
203#14556638—42no—
204#14556638—42no—
205C2×#11924029C2311yescharacteristic
206C2×#11924028—21no—
207C2×#11924028C2311yescharacteristic
208C2×#11924027—21no—
209C2×#11924027—21no—
210C2×#11924027—21no—
211C2×#11924027C2311yescharacteristic
212C2×#11924027C2311yescharacteristic
213C22×Dic146—21no—
214C22×Dic146—21no—
215C22×Dic146—21no—
216C22×Dic146—21no—
217C22×Dic146—42no—
218C22×Dic146—42no—
219C22×Dic146C2311yescharacteristic
220C22×Dic146C2311yescharacteristic
221C22×Dic146C2311yescharacteristic
222C22×Dic146C2311yescharacteristic
223C22×Dic146C2311yescharacteristic
224C22×Dic146C2311yescharacteristic
225C2×Q8×D73C2311yescharacteristic
226C2×Q8×D73C2311yescharacteristic
227C22×D292C2311yescharacteristic
228C22×C22⋊D73—21no—
229C2×D4×D73—21no—
230C2×D4×D73C2311yescharacteristic
231C23×Dic73—21no—
232#14556623—42no—
233#14556621—42no—
234#14556621—42no—
235#14556615—42no—
236#14556612—42no—
237C2×#11924018C2311yescharacteristic
238C2×#11924018C2311yescharacteristic
239C2×#11924018C2311yescharacteristic
240C2×#11924018C2311yescharacteristic
241C2×#11924017—42no—
242C2×#11924017—42no—
243C2×#11924017C2311yescharacteristic
244C2×#11924017C2311yescharacteristic
245C2×#11924017C2311yescharacteristic
246C2×#11924017C2311yescharacteristic
247C2×#11924017C2311yescharacteristic
248C2×#11924017C2311yescharacteristic
249C2×#11924017C2311yescharacteristic
250C2×#11924017C2311yescharacteristic
251C2×#11924016C2311yescharacteristic
252C2×#11924016C2311yescharacteristic
253C2×#11924016C2311yescharacteristic
254C2×#11924016C2311yescharacteristic
255C2×#11924015C2311yescharacteristic
256C2×#11924015C2311yescharacteristic
257SD16×D73—42no—
258C2×#11924013C2311yescharacteristic
259C2×#11924013C2311yescharacteristic
260C2×#11924012C2311yescharacteristic
261C2×#11924012C2311yescharacteristic
262C2×#11924011C2311yescharacteristic
263C2×#11924011C2311yescharacteristic
264C2×C8×D73C2311yescharacteristic
265C2×C8×D73C2311yescharacteristic
266#14556591—21no—
267#14556590—21no—
268#14556590—21no—
269#14556590—21no—
270#14556590—21no—
271#14556590C2311yescharacteristic
272#14556589C2311yescharacteristic
273#14556589C2311yescharacteristic
274#14556587—21no—
275#14556587—21no—
276#14556587C2311yescharacteristic
277#14556586—21no—
278#14556586—21no—
279#14556585—21no—
280#14556582—21no—
281#14556582C2311yescharacteristic
282#14556580C2311yescharacteristic
283#14556579—21no—
284#14556579—21no—
285#14556578C2311yescharacteristic
286#14556578C2311yescharacteristic
287#14556577—21no—
288#14556577—21no—
289#14556577—21no—
290#14556577—21no—
291#14556577—21no—
292#14556577—21no—
293#14556577—21no—
294#14556576—21no—
295#14556575—21no—
296#14556575—21no—
297#14556575—21no—
298#14556575—21no—
299#14556574—21no—
300#14556574D411yescharacteristic
301#14556574D411yescharacteristic
302#14556573—21no—
303#14556573—21no—
304#14556573—21no—
305#14556573—21no—
306#14556572—21no—
307#14556572—21no—
308#14556572—21no—
309#14556571—21no—
310#14556571C2311yescharacteristic
311#14556571C2311yescharacteristic
312#14556571C2311yescharacteristic
313#14556571C2311yescharacteristic
314#14556570—21no—
315#14556570—21no—
316#14556570D411yescharacteristic
317#14556570D411yescharacteristic
318#14556569—21no—
319#14556569—21no—
320#14556569—21no—
321#14556569—21no—
322#14556569—21no—
323#14556568—21no—
324#14556568—21no—
325#14556568—21no—
326#14556568—21no—
327#14556568—21no—
328#14556568—21no—
329#14556568—21no—
330#14556568—21no—
331#14556568—21no—
332#14556567C2311yescharacteristic
333#14556566—21no—
334#14556566—21no—
335#14556566C2311yescharacteristic
336#14556566C2311yescharacteristic
337#14556565—21no—
338#14556565—21no—
339#14556565—21no—
340#14556565D411yescharacteristic
341#14556565D411yescharacteristic
342#14556565C2311yescharacteristic
343#14556565C2311yescharacteristic
344#14556565C2311yescharacteristic
345#14556565C2311yescharacteristic
346#14556564—21no—
347#14556564—21no—
348#14556564—21no—
349#14556564—21no—
350#14556564—21no—
351#14556563—21no—
352#14556563—21no—
353#14556563—21no—
354#14556563—21no—
355#14556563—21no—
356#14556563—21no—
357#14556562—21no—
358#14556562—21no—
359#14556562C2311yescharacteristic
360#14556561—21no—
361#14556561—21no—
362#14556561—21no—
363#14556560D411yescharacteristic
364#14556560D411yescharacteristic
365#14556559—21no—
366#14556559—21no—
367#14556559—21no—
368Q8×Dic73C2311yescharacteristic
369C4×Dic146—21no—
370C4×Dic146—21no—
371#14556556C2311yescharacteristic
372#14556556C2311yescharacteristic
373#14556556C2311yescharacteristic
374#14556556C2311yescharacteristic
375C4×D292—21no—
376D4×Dic73—21no—
377D4×Dic73—21no—
378D4×Dic73—21no—
379D4×Dic73—21no—
380D4×Dic73C2311yescharacteristic
381#14556553C2311yescharacteristic
382#14556553C2311yescharacteristic
383C4×C22⋊D73—21no—
384C4×C22⋊D73C2311yescharacteristic
385C4×C22⋊D73C2311yescharacteristic
386C4×C22⋊D73C2311yescharacteristic
387C4×C22⋊D73C2311yescharacteristic
388#14556551—21no—
389#14556551—21no—
390#14556551—21no—
391#14556551—21no—
392#14556550C2311yescharacteristic
393#14556549C2311yescharacteristic
394#14556548—21no—
395#14556547—21no—
396#14556547—21no—
397#14556547—21no—
398C2×C4⋊Dic73C2311yescharacteristic
399C4⋊C4×D73C2311yescharacteristic
400C2×#11924005—21no—
401C2×#11924005—21no—
402C22⋊C4×D73—21no—
403#14556524C2311yescharacteristic
404#14556524C2311yescharacteristic
405#14556522C2311yescharacteristic
406#14556522C2311yescharacteristic
407#14556520C2311yescharacteristic
408#14556520C2311yescharacteristic
409#14556520C2311yescharacteristic
410#14556520C2311yescharacteristic
411#14556516C2311yescharacteristic
412#14556516C2311yescharacteristic
413#14556516C2311yescharacteristic
414#14556516C2311yescharacteristic
415#14556516C2311yescharacteristic
416#14556516C2311yescharacteristic
417#14556516C2311yescharacteristic
418#14556516C2311yescharacteristic
419#14556515C2311yescharacteristic
420#14556515C2311yescharacteristic
421#14556514C2311yescharacteristic
422#14556514C2311yescharacteristic
423#14556514C2311yescharacteristic
424#14556514C2311yescharacteristic
425#14556514C2311yescharacteristic
426#14556514C2311yescharacteristic
427#14556514C2311yescharacteristic
428#14556514C2311yescharacteristic
429#14556512C2311yescharacteristic
430#14556512C2311yescharacteristic
431#14556511C2311yescharacteristic
432#14556511C2311yescharacteristic
433#14556511C2311yescharacteristic
434#14556511C2311yescharacteristic
435C22⋊#10596831C2311yescharacteristic
436C22⋊#10596831C2311yescharacteristic
437C22⋊#10596831C2311yescharacteristic
438C22⋊#10596831C2311yescharacteristic
439#14556503C2311yescharacteristic
440#14556503C2311yescharacteristic
441#14556503C2311yescharacteristic
442#14556503C2311yescharacteristic
443#14556501C2311yescharacteristic
444#14556501C2311yescharacteristic
445C8×Dic73C2311yescharacteristic
446C8×Dic73C2311yescharacteristic
447C2×#41×C73C2311yescharacteristic
448C2×#41×C73C2311yescharacteristic
449C23×C4×C73C2311yescharacteristic
450C2×Q16×C73C2311yescharacteristic
451C2×SD16×C73C2311yescharacteristic
452C2×SD16×C73C2311yescharacteristic
453C2×D8×C73C2311yescharacteristic
454C22×C8×C73C2311yescharacteristic
455C22×C8×C73C2311yescharacteristic
456#123×C73—21no—
457#123×C73—21no—
458C22⋊Q8×C73C2311yescharacteristic
459C22⋊Q8×C73C2311yescharacteristic
460C22⋊Q8×C73C2311yescharacteristic
461C22⋊Q8×C73C2311yescharacteristic
462#121×C73C2311yescharacteristic
463#121×C73C2311yescharacteristic
464#121×C73C2311yescharacteristic
465#121×C73C2311yescharacteristic
466#120×C73—21no—
467#120×C73—21no—
468C4×D4×C73—21no—
469C4×D4×C73—21no—
470C4×D4×C73—21no—
471C4×D4×C73—21no—
472#117×C73C2311yescharacteristic
473#117×C73C2311yescharacteristic
474#107×C73C2311yescharacteristic
475#107×C73C2311yescharacteristic
476#106×C73C2311yescharacteristic
477#106×C73C2311yescharacteristic
478#103×C73C2311yescharacteristic
479#103×C73C2311yescharacteristic
480#103×C73C2311yescharacteristic
481#103×C73C2311yescharacteristic
482#102×C73C2311yescharacteristic
483#102×C73C2311yescharacteristic
484#102×C73C2311yescharacteristic
485#102×C73C2311yescharacteristic
486C22⋊C8×C73C2311yescharacteristic
487C22⋊C8×C73C2311yescharacteristic
488C22⋊C8×C73C2311yescharacteristic
489C22⋊C8×C73C2311yescharacteristic
490C23×D73—21no—
491C23×D73—21no—
492#11924029—41no—
493#11924029—41no—
494#11924028—44no—
495#11924028—41no—
496#11924028—41no—
497#11924027—22no—
498#11924027—22no—
499#11924027—41no—
500#11924027—41no—
501#11924027—44no—
502#11924027—44no—
503#11924027—82no—
504C2×Dic146—21no—
505C2×Dic146—22no—
506C2×Dic146—22no—
507C2×Dic146—22no—
508C2×Dic146—22no—
509C2×Dic146—22no—
510C2×Dic146—22no—
511C2×Dic146—21no—
512C2×Dic146—21no—
513C2×Dic146—21no—
514C2×Dic146—21no—
515C2×Dic146—21no—
516C2×Dic146—21no—
517C2×Dic146—21no—
518C2×Dic146—21no—
519C2×Dic146—41no—
520C2×Dic146—41no—
521C2×Dic146—41no—
522C2×Dic146—41no—
523C2×Dic146—41no—
524C2×Dic146—41no—
525C2×Dic146—44no—
526C2×Dic146—44no—
527C2×Dic146—44no—
528C2×Dic146—44no—
529C2×Dic146C2×D411yescharacteristic
530C2×Dic146C2411yescharacteristic
531C2×Dic146C2411yescharacteristic
532C2×Dic146C2411yescharacteristic
533C2×Dic146C2411yescharacteristic
534Q8×D73—22no—
535Q8×D73—22no—
536Q8×D73—41no—
537Q8×D73—41no—
538C2×D292—21no—
539C2×D292—21no—
540C2×D292—21no—
541C2×D292—21no—
542C2×D292—41no—
543C2×D292—41no—
544C2×D292C2×D411yescharacteristic
545C2×D292C2411yescharacteristic
546C2×D292C2411yescharacteristic
547C2×C22⋊D73—21no—
548C2×C22⋊D73—21no—
549C2×C22⋊D73—21no—
550C2×C22⋊D73—21no—
551C2×C22⋊D73—21no—
552C2×C22⋊D73—21no—
553C2×C22⋊D73—21no—
554C2×C22⋊D73—21no—
555C2×C22⋊D73—21no—
556C2×C22⋊D73—21no—
557C2×C22⋊D73—82no—
558C2×C22⋊D73C2×D411yescharacteristic
559C2×C22⋊D73C2×D411yescharacteristic
560C2×C22⋊D73C2×D411yescharacteristic
561C2×C22⋊D73C2×D411yescharacteristic
562C2×C22⋊D73C2×D411yescharacteristic
563C2×C22⋊D73C2×D411yescharacteristic
564D4×D73—41no—
565D4×D73—41no—
566D4×D73—82no—
567C22×Dic73—21no—
568C22×Dic73—21no—
569C22×Dic73—21no—
570C22×Dic73—21no—
571C22×Dic73—21no—
572C22×Dic73—21no—
573C22×Dic73—21no—
574C22×Dic73—21no—
575C22×Dic73—21no—
576C22×Dic73—21no—
577C22×Dic73—44no—
578C2×C4×D73—21no—
579C2×C4×D73—21no—
580C2×C4×D73—21no—
581C2×C4×D73—21no—
582C2×C4×D73—21no—
583C2×C4×D73—21no—
584C2×C4×D73C2411yescharacteristic
585C2×C4×D73C2411yescharacteristic
586#11924018—22no—
587#11924018—22no—
588#11924018—41no—
589#11924018—41no—
590#11924017—22no—
591#11924017—22no—
592#11924017—22no—
593#11924017—22no—
594#11924017—41no—
595#11924017—41no—
596#11924017—41no—
597#11924017—41no—
598#11924016—22no—
599#11924016—22no—
600#11924016—41no—
601#11924016—41no—
602#11924015—41no—
603#11924015—41no—
604#11924013—41no—
605#11924013—41no—
606#11924012—41no—
607#11924012—41no—
608#11924011—41no—
609#11924011—41no—
610C2×#10596831C2411yescharacteristic
611C2×#10596831C2411yescharacteristic
612C2×#10596831C2411yescharacteristic
613C2×#10596831C2411yescharacteristic
614C8×D73—41no—
615C8×D73—41no—
616C4⋊Dic73—21no—
617C4⋊Dic73—21no—
618C4⋊Dic73—21no—
619C4⋊Dic73—21no—
620C4⋊Dic73—21no—
621C4⋊Dic73—21no—
622C4⋊Dic73—21no—
623C4⋊Dic73C2×D411yescharacteristic
624C4⋊Dic73C2×D411yescharacteristic
625C4⋊Dic73C2411yescharacteristic
626C4⋊Dic73C2411yescharacteristic
627#11924007—21no—
628#11924007—21no—
629#11924007—21no—
630#11924007—21no—
631#11924007—21no—
632#11924007—21no—
633#11924007—21no—
634#11924007—21no—
635#11924007—21no—
636#11924007—21no—
637#11924007—21no—
638#11924007—21no—
639#11924007C2×D411yescharacteristic
640#11924007C2×D411yescharacteristic
641#11924007C2×D411yescharacteristic
642#11924007C2×D411yescharacteristic
643C22⋊Dic73—21no—
644C22⋊Dic73—21no—
645C22⋊Dic73—21no—
646C22⋊Dic73—21no—
647C22⋊Dic73—21no—
648C22⋊Dic73—21no—
649C22⋊Dic73C2×D411yescharacteristic
650C22⋊Dic73C2×D411yescharacteristic
651C22⋊Dic73C2×D411yescharacteristic
652C22⋊Dic73C2×D411yescharacteristic
653C22⋊Dic73C2×D411yescharacteristic
654C22⋊Dic73C2×D411yescharacteristic
655#11924005—21no—
656#11924005—21no—
657#11924005—21no—
658#11924005—21no—
659#11924005—21no—
660#11924005—21no—
661#11924005—21no—
662#11924005—21no—
663#11924005—21no—
664#11924005—21no—
665#11924005—21no—
666#11924005—21no—
667#11924005—21no—
668#11924005—21no—
669#11924005—21no—
670#11924005—21no—
671#11924005C2×D411yescharacteristic
672#11924005C2×D411yescharacteristic
673#11924005C2×D411yescharacteristic
674#11924005C2×D411yescharacteristic
675C4×Dic73—21no—
676C4×Dic73—21no—
677C4×Dic73—21no—
678C4×Dic73—21no—
679C4×Dic73—21no—
680C4×Dic73—21no—
681C4×Dic73C2411yescharacteristic
682C4×Dic73C2411yescharacteristic
683C24×C73C2×D411yescharacteristic
684#41×C73—41no—
685#41×C73—41no—
686#41×C73—41no—
687#41×C73—41no—
688C2×Q8×C73C2411yescharacteristic
689C2×Q8×C73C2411yescharacteristic
690C2×D4×C73—21no—
691C2×D4×C73—21no—
692C2×D4×C73—21no—
693C2×D4×C73—21no—
694C2×D4×C73—21no—
695C2×D4×C73—21no—
696C2×D4×C73C2411yescharacteristic
697C2×D4×C73C2411yescharacteristic
698C22×C4×C73—21no—
699C22×C4×C73—21no—
700C22×C4×C73—41no—
701C22×C4×C73—41no—
702C22×C4×C73C2×D411yescharacteristic
703C22×C4×C73C2×D411yescharacteristic
704C22×C4×C73C2×D411yescharacteristic
705C22×C4×C73C2411yescharacteristic
706C22×C4×C73C2411yescharacteristic
707C22×C4×C73C2411yescharacteristic
708Q16×C73—41no—
709SD16×C73—41no—
710SD16×C73—41no—
711D8×C73—41no—
712C2×C8×C73—41no—
713C2×C8×C73—41no—
714C2×C8×C73C2411yescharacteristic
715C2×C8×C73C2411yescharacteristic
716C2×C8×C73C2411yescharacteristic
717C2×C8×C73C2411yescharacteristic
718C4⋊C4×C73—21no—
719C4⋊C4×C73—21no—
720C4⋊C4×C73—21no—
721C4⋊C4×C73—21no—
722C4⋊C4×C73C2411yescharacteristic
723C4⋊C4×C73C2411yescharacteristic
724C4⋊C4×C73C2411yescharacteristic
725C4⋊C4×C73C2411yescharacteristic
726C22⋊C4×C73—21no—
727C22⋊C4×C73—21no—
728C22⋊C4×C73—21no—
729C22⋊C4×C73—21no—
730C22⋊C4×C73—21no—
731C22⋊C4×C73—21no—
732C22⋊C4×C73—21no—
733C22⋊C4×C73—21no—
734C22⋊C4×C73—21no—
735C22⋊C4×C73—21no—
736C42×C73—21no—
737C42×C73—21no—
738C23×C73—22no—
739C23×C73—21no—
740C23×C73—21no—
741C23×C73—41no—
742C23×C73—41no—
743C23×C73C22×D411yescharacteristic
744C23×C73C22×D411yescharacteristic
745C23×C73C22×D411yescharacteristic
746C22×D73—21no—
747C22×D73—21no—
748C22×D73—42no—
749C22×D73—81no—
750C22×D73—81no—
751C22×D73—81no—
752C22×D73—81no—
753C22×D73—81no—
754C22×D73C22×D411yescharacteristic
755C22×D73C22×D411yescharacteristic
756Q8×C73—21no—
757Q8×C73—21no—
758Q8×C73—21no—
759Q8×C73—21no—
760D4×C73—21no—
761D4×C73—21no—
762D4×C73—21no—
763D4×C73—21no—
764D4×C73—42no—
765D4×C73—42no—
766D4×C73—42no—
767D4×C73—42no—
768D4×C73—81no—
769D4×C73—81no—
770C2×C4×C73—21no—
771C2×C4×C73—21no—
772C2×C4×C73—21no—
773C2×C4×C73—21no—
774C2×C4×C73—21no—
775C2×C4×C73—21no—
776C2×C4×C73—21no—
777C2×C4×C73—21no—
778C2×C4×C73—21no—
779C2×C4×C73—21no—
780C2×C4×C73—21no—
781C2×C4×C73—21no—
782C2×C4×C73—41no—
783C2×C4×C73—41no—
784C2×C4×C73—41no—
785C2×C4×C73—42no—
786C2×C4×C73—81no—
787C2×C4×C73C22×D411yescharacteristic
788C2×C4×C73C22×D411yescharacteristic
789C2×C4×C73C22×D411yescharacteristic
790C2×C4×C73C2511yescharacteristic
791C22⋊D73—22no—
792C22⋊D73—22no—
793C22⋊D73—41no—
794C22⋊D73—41no—
795C22⋊D73—41no—
796C22⋊D73—41no—
797C22⋊D73—42no—
798C22⋊D73—42no—
799C22⋊D73—81no—
800C22⋊D73—81no—
801C22⋊D73—81no—
802C22⋊D73—81no—
803C22⋊D73—81no—
804C22⋊D73—81no—
805C22⋊D73—81no—
806C22⋊D73—81no—
807C2×Dic73—24no—
808C2×Dic73—21no—
809C2×Dic73—21no—
810C2×Dic73—21no—
811C2×Dic73—21no—
812C2×Dic73—21no—
813C2×Dic73—21no—
814C2×Dic73—42no—
815C2×Dic73—42no—
816C2×Dic73—42no—
817C2×Dic73—42no—
818C2×Dic73—42no—
819C2×Dic73—42no—
820C2×Dic73—42no—
821C2×Dic73—42no—
822C2×Dic73—81no—
823C2×Dic73C22×D411yescharacteristic
824C2×Dic73C22×D411yescharacteristic
825C2×Dic73C22×D411yescharacteristic
826C2×Dic73C22×D411yescharacteristic
827C2×Dic73C22×D411yescharacteristic
828C2×Dic73C22×D411yescharacteristic
829D292—21no—
830D292—21no—
831D292—21no—
832D292—21no—
833D292—41no—
834D292—81no—
835D292—81no—
836D292—81no—
837D292—81no—
838C4×D73—21no—
839C4×D73—21no—
840C4×D73—21no—
841C4×D73—21no—
842C4×D73—42no—
843C4×D73—42no—
844C4×D73—81no—
845C4×D73—81no—
846C4×D73—81no—
847C4×D73—81no—
848Dic146—24no—
849Dic146—21no—
850Dic146—21no—
851Dic146—21no—
852Dic146—21no—
853Dic146—21no—
854Dic146—21no—
855Dic146—41no—
856Dic146—42no—
857Dic146—42no—
858Dic146—42no—
859Dic146—42no—
860Dic146—42no—
861Dic146—42no—
862Dic146—42no—
863Dic146—81no—
864Dic146H(5,𝔽2)12yes—
865Dic146H(5,𝔽2)12yes—
866C8×C73—21no—
867C8×C73—21no—
868C8×C73—21no—
869C8×C73—21no—
870#10596831—21no—
871#10596831—21no—
872#10596831—21no—
873#10596831—21no—
874C22×C73—21no—
875C22×C73—21no—
876C22×C73—21no—
877C22×C73—21no—
878C22×C73—21no—
879C22×C73—21no—
880C22×C73—21no—
881C22×C73—21no—
882C22×C73—44no—
883C22×C73—41no—
884C22×C73—41no—
885C22×C73—41no—
886C22×C73—41no—
887C22×C73—41no—
888C22×C73—41no—
889C22×C73#57712yes—
890C22×C73C23×D411yescharacteristic
891C2×D73—21no—
892C2×D73—21no—
893C2×D73—21no—
894C2×D73—21no—
895C2×D73—21no—
896C2×D73—21no—
897C2×D73—41no—
898C2×D73—41no—
899C2×D73—41no—
900C2×D73—41no—
901C2×D73—41no—
902C2×D73—41no—
903C2×D73—162no—
904C2×D73—162no—
905C4×C73—21no—
906C4×C73—21no—
907C4×C73—21no—
908C4×C73—41no—
909C4×C73—41no—
910C4×C73—41no—
911C4×C73—41no—
912C4×C73—41no—
913C4×C73—41no—
914C4×C73C2×H(5,𝔽2)11yescharacteristic
915C4×C73C2×H(5,𝔽2)11yescharacteristic
916Dic73—21no—
917Dic73—21no—
918Dic73—22no—
919Dic73—22no—
920Dic73—21no—
921Dic73—21no—
922Dic73—21no—
923Dic73—21no—
924Dic73—41no—
925Dic73—41no—
926Dic73—41no—
927Dic73—41no—
928#61611—731nomaximal, Sylow
929C2×C73—22no—
930C2×C73—41no—
931C2×C73—41no—
932C2×C73—81no—
933C2×C73—81no—
934C2×C73#348411yescharacteristic
935C2×C73C2×#57711yescharacteristic
936C2×C73#358611yescharacteristic
937D73—41no—
938D73—41no—
939D73—81no—
940D73—81no—
941#3542—731no—
942#3486—731no—
943#3329—731no—
944#3326—731no—
945#3321—731no—
946#3320—731no—
947#3312—731no—
948#3308—731no—
949#3300—731no—
950#3298—731no—
951#3282—731no—
952D4×SD16—731no—
953#3278—731no—
954#3275—731no—
955#3271—731no—
956#3266—731no—
957#3266—731no—
958#3265—731no—
959#3225—731no—
960#3221—731no—
961#3201—731no—
962#3200—731no—
963#3194—731no—
964#3191D7311yescharacteristic, complemented
965#3126—731no—
966#3121—731no—
967#3013—731no—
968#3010—731no—
969#3004—731no—
970C2×#448—731no—
971#2976—731no—
972C73#6161111yescharacteristic, complemented, Sylow
973C2×2−1+4—731no—
974C23×Q8—731no—
975C2×#137—731no—
976C2×#137—731no—
977C2×#137—731no—
978C2×AGL(1,ℤ/8)—731no—
979C2×#135—731no—
980C22×SD16—731no—
981C22×SD16—731no—
982C22×SD16—731no—
983#562—1461no—
984#560—1461no—
985#555—731no—
986#553—731no—
987#552—731no—
988#551—1461no—
989#550—731no—
990D4×Q8—731no—
991D4×Q8—731no—
992D4×Q8—731no—
993D4×Q8—731no—
994D4×Q8—1461no—
995D4×Q8—1461no—
996#548—731no—
997#548—731no—
998#548—731no—
999#548—731no—
1000#548—1461no—
1001#548—1461no—
1002#547—731no—
1003#546—731no—
1004#546—731no—
1005#546—1461no—
1006D42—731no—
1007#542—731no—
1008#540—731no—
1009#540—1461no—
1010#538—1461no—
1011#537—731no—
1012#536—731no—
1013#536—731no—
1014#536—1461no—
1015#536—1461no—
1016#535—731no—
1017#535—1461no—
1018#534—1461no—
1019#525—731no—
1020#525—1461no—
1021#525—1461no—
1022#525C2×D7311yescharacteristic
1023#525C2×D7311yescharacteristic, complemented
1024C2×#121—731no—
1025#519—731no—
1026#497—731no—
1027#496—731no—
1028#495—731no—
1029#492—731no—
1030#491—731no—
1031#489—731no—
1032#488—731no—
1033#487—731no—
1034#485—731no—
1035#485—731no—
1036#485C2×D7311yescharacteristic, complemented
1037#485C2×D7311yescharacteristic, complemented
1038#484—731no—
1039#483—731no—
1040#483—731no—
1041#482—731no—
1042#482—731no—
1043#482C2×D7311yescharacteristic, complemented
1044#482C2×D7311yescharacteristic, complemented
1045#480—731no—
1046#479—731no—
1047#479—731no—
1048#477—731no—
1049#475—731no—
1050#470—731no—
1051#469—731no—
1052#469—731no—
1053#468—731no—
1054#468—731no—
1055#468—731no—
1056#468—731no—
1057#468—731no—
1058#467—731no—
1059#467C2×D7311yescharacteristic, complemented
1060#466C2×D7311yescharacteristic
1061#465—731no—
1062#465—731no—
1063#465—731no—
1064#465C2×D7311yescharacteristic
1065#465C2×D7311yescharacteristic, complemented
1066#464—731no—
1067#464—731no—
1068#464—731no—
1069#463—731no—
1070#463—731no—
1071#463—731no—
1072#462—731no—
1073#461—731no—
1074#461—731no—
1075#461—731no—
1076#460—731no—
1077#460—731no—
1078#452—731no—
1079#452—731no—
1080#452—731no—
1081#452C2×D7311yescharacteristic, complemented
1082#452C2×D7311yescharacteristic, complemented
1083#451—731no—
1084#451—731no—
1085#451—731no—
1086#451—731no—
1087#451—731no—
1088#450—731no—
1089#450—731no—
1090#450—731no—
1091#449—731no—
1092#449—731no—
1093#449—731no—
1094#449—731no—
1095#449—731no—
1096#449C2×D7311yescharacteristic, complemented
1097#449C2×D7311yescharacteristic, complemented
1098#448—731no—
1099#448—731no—
1100#448—731no—
1101#448—731no—
1102#448—731no—
1103#448—731no—
1104#448—731no—
1105#448—731no—
1106#448—731no—
1107#448—731no—
1108#448—731no—
1109#448—731no—
1110#448—731no—
1111#448—731no—
1112#448—731no—
1113#447—731no—
1114#441—731no—
1115#440—731no—
1116#440—731no—
1117#440—731no—
1118C4×Q16—731no—
1119C4×SD16—731no—
1120C4×SD16—731no—
1121C4×SD16—731no—
1122#436—731no—
1123#436—731no—
1124#435—731no—
1125#435—731no—
1126#435—731no—
1127#435—731no—
1128C8×D4—731no—
1129C8×D4—731no—
1130#433—731no—
1131#433—731no—
1132#419—731no—
1133#419—731no—
1134#419—731no—
1135#417—731no—
1136#416—731no—
1137C2×#103—731no—
1138C2×#103—731no—
1139C2×#103—731no—
1140#408—731no—
1141#408—731no—
1142#407—731no—
1143C2×C22⋊C8C2×D7311yescharacteristic, complemented
11442−1+4—2922no—
11452−1+4—2922no—
1146C2×#41—731no—
1147C2×#41—731no—
1148C2×#41—731no—
1149C2×#41—731no—
1150C2×#41—1461no—
1151C2×#41—1461no—
1152C2×#41—1461no—
1153C2×#41—1461no—
1154C2×#41C22×D7311yescharacteristic
1155C2×#41C22×D7311yescharacteristic
1156C22×Q8—2922no—
1157C22×Q8—2922no—
1158C22×Q8—731no—
1159C22×Q8—731no—
1160C22×Q8—731no—
1161C22×Q8—731no—
1162C22×Q8—731no—
1163C22×Q8—731no—
1164C22×Q8—731no—
1165C22×Q8—731no—
1166C22×Q8—1461no—
1167C22×Q8—1461no—
1168C22×Q8—1461no—
1169C22×Q8—1461no—
1170C22×D4—731no—
1171C22×D4—731no—
1172C22×D4—1461no—
1173C22×D4—1461no—
1174C23×C4—1461no—
1175C23×C4C22×D7311yescharacteristic
1176#137—2922no—
1177#137—2922no—
1178#137—2922no—
1179AGL(1,ℤ/8)—2922no—
1180#135—2922no—
1181C2×Q16—731no—
1182C2×Q16—731no—
1183C2×Q16—731no—
1184C2×Q16—731no—
1185C2×Q16C22×D7311yescharacteristic
1186C2×SD16—2922no—
1187C2×SD16—2922no—
1188C2×SD16—2922no—
1189C2×SD16—731no—
1190C2×SD16—731no—
1191C2×SD16—731no—
1192C2×SD16—731no—
1193C2×SD16—731no—
1194C2×SD16—731no—
1195C2×SD16—731no—
1196C2×SD16—731no—
1197C2×SD16—731no—
1198C2×SD16—731no—
1199C2×SD16—731no—
1200C2×SD16—731no—
1201C2×SD16—731no—
1202C2×SD16—731no—
1203C2×SD16C22×D7311yescharacteristic
1204C2×SD16C22×D7311yescharacteristic
1205C2×D8—731no—
1206C2×D8—731no—
1207C2×D8C22×D7311yescharacteristic
1208C2×M16—731no—
1209C2×M16—731no—
1210C2×M16—731no—
1211C2×M16—731no—
1212C22×C8—731no—
1213C22×C8—731no—
1214C22×C8C22×D7311yescharacteristic
1215C22×C8C22×D7311yescharacteristic
1216C4⋊Q8—731no—
1217C4⋊Q8—731no—
1218C4⋊Q8—731no—
1219C4⋊Q8—1461no—
1220C4⋊Q8—1461no—
1221C4⋊Q8—1461no—
1222C4⋊Q8—1461no—
1223C4⋊Q8—1461no—
1224#127—731no—
1225#127—1461no—
1226#127—1461no—
1227#126—1461no—
1228#126—1461no—
1229#126—1461no—
1230#125—731no—
1231#125—1461no—
1232#124—731no—
1233#124—731no—
1234#124—731no—
1235#124—1461no—
1236#124—1461no—
1237#124—1461no—
1238#124—1461no—
1239#124—1461no—
1240#124—1461no—
1241#124—1461no—
1242#124—1461no—
1243#124—1461no—
1244#123—21no—
1245#123—21no—
1246#123—731no—
1247#123—731no—
1248#123—1461no—
1249#123—1461no—
1250#123—1461no—
1251#123—1461no—
1252#123—1461no—
1253#123—1461no—
1254#123—1461no—
1255#123—1461no—
1256#123—1461no—
1257#123—1461no—
1258#123—1461no—
1259#123—1461no—
1260#123—1461no—
1261C22⋊Q8—731no—
1262C22⋊Q8—731no—
1263C22⋊Q8—731no—
1264C22⋊Q8—731no—
1265C22⋊Q8—731no—
1266C22⋊Q8—731no—
1267C22⋊Q8—731no—
1268C22⋊Q8—1461no—
1269C22⋊Q8—1461no—
1270C22⋊Q8—1461no—
1271C22⋊Q8—1461no—
1272C22⋊Q8—1461no—
1273C22⋊Q8—1461no—
1274C22⋊Q8—1461no—
1275C22⋊Q8—1461no—
1276C22⋊Q8—1461no—
1277C22⋊Q8—1461no—
1278C22⋊Q8—1461no—
1279C22⋊Q8—1461no—
1280C22⋊Q8—1461no—
1281C22⋊Q8—1461no—
1282C22⋊Q8—1461no—
1283C22⋊Q8—1461no—
1284C22⋊Q8—1461no—
1285C22⋊Q8C22×D7311yescharacteristic
1286C22⋊Q8C22×D7311yescharacteristic
1287C22⋊Q8C22×D7311yescharacteristic
1288C22⋊Q8C22×D7311yescharacteristic
1289#121—731no—
1290#121—731no—
1291#121—731no—
1292#121—731no—
1293#121—731no—
1294#121—731no—
1295#121—731no—
1296#121—731no—
1297#121—731no—
1298#121—1461no—
1299#121—1461no—
1300#121—1461no—
1301#121—1461no—
1302#121—1461no—
1303#121—1461no—
1304#121—1461no—
1305#121—1461no—
1306#121—1461no—
1307#121—1461no—
1308#121—1461no—
1309#121—1461no—
1310#121—1461no—
1311#121—1461no—
1312#121—1461no—
1313#121—1461no—
1314#121—1461no—
1315#121—1461no—
1316#121C22×D7311yescharacteristic
1317#121C22×D7311yescharacteristic
1318#121C22×D7311yescharacteristic
1319#121C22×D7311yescharacteristic
1320#120—21no—
1321#120—21no—
1322#120—731no—
1323#120—731no—
1324#120—1461no—
1325#120—1461no—
1326#120—1461no—
1327#120—1461no—
1328#120—1461no—
1329#120—1461no—
1330C4×Q8—731no—
1331C4×Q8—731no—
1332C4×Q8—731no—
1333C4×Q8—731no—
1334C4×Q8—731no—
1335C4×Q8—1461no—
1336C4×Q8—1461no—
1337C4×D4—21no—
1338C4×D4—21no—
1339C4×D4—21no—
1340C4×D4—21no—
1341C4×D4—731no—
1342C4×D4—731no—
1343C4×D4—731no—
1344C4×D4—731no—
1345C4×D4—731no—
1346C4×D4—731no—
1347C4×D4—731no—
1348C4×D4—1461no—
1349C4×D4—1461no—
1350C4×D4—1461no—
1351C4×D4—1461no—
1352C4×D4—1461no—
1353C4×D4—1461no—
1354C4×D4—1461no—
1355C4×D4—1461no—
1356C4×D4—1461no—
1357C4×D4—1461no—
1358#117—731no—
1359#117—731no—
1360#117—1461no—
1361#117—1461no—
1362#117—1461no—
1363#117—1461no—
1364#117C22×D7311yescharacteristic
1365#117C22×D7311yescharacteristic
1366C2×C4⋊C4—731no—
1367C2×C4⋊C4—731no—
1368C2×C22⋊C4—1461no—
1369C2×C22⋊C4—1461no—
1370C2×C22⋊C4—1461no—
1371#107—731no—
1372#107—731no—
1373#107C22×D7311yescharacteristic
1374#107C22×D7311yescharacteristic
1375#106—731no—
1376#106—731no—
1377#106C22×D7311yescharacteristic
1378#106C22×D7311yescharacteristic
1379C4⋊C8—731no—
1380C4⋊C8—731no—
1381C4⋊C8—731no—
1382C4⋊C8—731no—
1383#103—731no—
1384#103—731no—
1385#103—731no—
1386#103—731no—
1387#103—731no—
1388#103—731no—
1389#103—731no—
1390#103—731no—
1391#103—731no—
1392#103—731no—
1393#103—731no—
1394#103—731no—
1395#103—731no—
1396#103—731no—
1397#103—731no—
1398#103—731no—
1399#103—731no—
1400#103—731no—
1401#103C22×D7311yescharacteristic
1402#103C22×D7311yescharacteristic
1403#103C22×D7311yescharacteristic
1404#103C22×D7311yescharacteristic
1405#102—731no—
1406#102—731no—
1407#102—731no—
1408#102—731no—
1409#102—731no—
1410#102—731no—
1411#102C22×D7311yescharacteristic
1412#102C22×D7311yescharacteristic
1413#102C22×D7311yescharacteristic
1414#102C22×D7311yescharacteristic
1415C22⋊C8—731no—
1416C22⋊C8—731no—
1417C22⋊C8—731no—
1418C22⋊C8—731no—
1419C22⋊C8—731no—
1420C22⋊C8—731no—
1421C22⋊C8—731no—
1422C22⋊C8—731no—
1423C22⋊C8C22×D7311yescharacteristic
1424C22⋊C8C22×D7311yescharacteristic
1425C22⋊C8C22×D7311yescharacteristic
1426C22⋊C8C22×D7311yescharacteristic
1427#97—731no—
1428#97—731no—
1429C4×C8—731no—
1430C4×C8—731no—
1431C24—1461no—
1432C24—1461no—
1433C24D4×D7311yescharacteristic
1434#41—41no—
1435#41—41no—
1436#41—41no—
1437#41—41no—
1438#41—2921no—
1439#41—2921no—
1440#41—2924no—
1441#41—2921no—
1442#41—2921no—
1443#41—2924no—
1444#41—2924no—
1445#41—2921no—
1446#41—2921no—
1447#41—5842no—
1448#41—1462no—
1449#41—1462no—
1450C2×Q8—2921no—
1451C2×Q8—2921no—
1452C2×Q8—2921no—
1453C2×Q8—2921no—
1454C2×Q8—2921no—
1455C2×Q8—2921no—
1456C2×Q8—2924no—
1457C2×Q8—2924no—
1458C2×Q8—2924no—
1459C2×Q8—2924no—
1460C2×Q8—2921no—
1461C2×Q8—2921no—
1462C2×Q8—731no—
1463C2×Q8—731no—
1464C2×Q8—731no—
1465C2×Q8—731no—
1466C2×Q8—731no—
1467C2×Q8—1462no—
1468C2×Q8—1462no—
1469C2×Q8—1462no—
1470C2×Q8—1462no—
1471C2×Q8—1461no—
1472C2×Q8—1461no—
1473C2×Q8—1461no—
1474C2×Q8—1462no—
1475C2×Q8—1462no—
1476C2×Q8—1462no—
1477C2×Q8—1462no—
1478C2×Q8—1461no—
1479C2×Q8—1461no—
1480C2×Q8—1461no—
1481C2×Q8—1461no—
1482C2×Q8—1461no—
1483C2×Q8—1461no—
1484C2×Q8C23×D7311yescharacteristic
1485C2×Q8C23×D7311yescharacteristic
1486C2×D4—21no—
1487C2×D4—21no—
1488C2×D4—21no—
1489C2×D4—21no—
1490C2×D4—21no—
1491C2×D4—21no—
1492C2×D4—2921no—
1493C2×D4—2921no—
1494C2×D4—2921no—
1495C2×D4—2921no—
1496C2×D4—5842no—
1497C2×D4—5842no—
1498C2×D4—731no—
1499C2×D4—731no—
1500C2×D4—731no—
1501C2×D4—731no—
1502C2×D4—731no—
1503C2×D4—731no—
1504C2×D4—731no—
1505C2×D4—731no—
1506C2×D4—731no—
1507C2×D4—1461no—
1508C2×D4—1461no—
1509C2×D4—1461no—
1510C2×D4—1461no—
1511C2×D4—1461no—
1512C2×D4—1461no—
1513C2×D4—1461no—
1514C2×D4—1461no—
1515C2×D4—1461no—
1516C2×D4—1461no—
1517C2×D4—1461no—
1518C2×D4—1461no—
1519C2×D4—1461no—
1520C2×D4—1461no—
1521C2×D4C23×D7311yescharacteristic
1522C2×D4C23×D7311yescharacteristic
1523C22×C4—21no—
1524C22×C4—21no—
1525C22×C4—41no—
1526C22×C4—41no—
1527C22×C4—2924no—
1528C22×C4—731no—
1529C22×C4—731no—
1530C22×C4—1461no—
1531C22×C4—1461no—
1532C22×C4—1461no—
1533C22×C4—1461no—
1534C22×C4—1461no—
1535C22×C4—1461no—
1536C22×C4—1461no—
1537C22×C4—1461no—
1538C22×C4—1461no—
1539C22×C4—1461no—
1540C22×C4—1461no—
1541C22×C4—1461no—
1542C22×C4—1461no—
1543C22×C4—1461no—
1544C22×C4—1461no—
1545C22×C4—1461no—
1546C22×C4D4×D7311yescharacteristic
1547C22×C4D4×D7311yescharacteristic
1548C22×C4D4×D7311yescharacteristic
1549C22×C4C23×D7311yescharacteristic
1550C22×C4C23×D7311yescharacteristic
1551C22×C4C23×D7311yescharacteristic
1552Q16—41no—
1553Q16—2921no—
1554Q16—2921no—
1555Q16—1462no—
1556Q16—1462no—
1557SD16—41no—
1558SD16—41no—
1559SD16—2921no—
1560SD16—2921no—
1561SD16—2921no—
1562SD16—2921no—
1563SD16—2921no—
1564SD16—2921no—
1565SD16—2921no—
1566SD16—2921no—
1567SD16—1462no—
1568SD16—1462no—
1569SD16—1462no—
1570SD16—1462no—
1571SD16—1462no—
1572SD16—1462no—
1573D8—41no—
1574D8—2921no—
1575D8—2921no—
1576M16—2921no—
1577M16—2921no—
1578M16—2921no—
1579M16—2921no—
1580C2×C8—41no—
1581C2×C8—41no—
1582C2×C8—2921no—
1583C2×C8—2921no—
1584C2×C8—731no—
1585C2×C8—731no—
1586C2×C8—731no—
1587C2×C8—731no—
1588C2×C8C23×D7311yescharacteristic
1589C2×C8C23×D7311yescharacteristic
1590C2×C8C23×D7311yescharacteristic
1591C2×C8C23×D7311yescharacteristic
1592C4⋊C4—21no—
1593C4⋊C4—21no—
1594C4⋊C4—21no—
1595C4⋊C4—21no—
1596C4⋊C4—731no—
1597C4⋊C4—731no—
1598C4⋊C4—731no—
1599C4⋊C4—731no—
1600C4⋊C4—731no—
1601C4⋊C4—731no—
1602C4⋊C4—731no—
1603C4⋊C4—731no—
1604C4⋊C4—1461no—
1605C4⋊C4—1461no—
1606C4⋊C4—1461no—
1607C4⋊C4—1461no—
1608C4⋊C4—1461no—
1609C4⋊C4—1461no—
1610C4⋊C4—1461no—
1611C4⋊C4—1461no—
1612C4⋊C4—1461no—
1613C4⋊C4—1461no—
1614C4⋊C4—1461no—
1615C4⋊C4—1461no—
1616C4⋊C4—1461no—
1617C4⋊C4—1461no—
1618C4⋊C4—1461no—
1619C4⋊C4—1461no—
1620C4⋊C4—1461no—
1621C4⋊C4—1461no—
1622C4⋊C4—1461no—
1623C4⋊C4C23×D7311yescharacteristic
1624C4⋊C4C23×D7311yescharacteristic
1625C4⋊C4C23×D7311yescharacteristic
1626C4⋊C4C23×D7311yescharacteristic
1627C22⋊C4—21no—
1628C22⋊C4—21no—
1629C22⋊C4—21no—
1630C22⋊C4—21no—
1631C22⋊C4—21no—
1632C22⋊C4—21no—
1633C22⋊C4—21no—
1634C22⋊C4—21no—
1635C22⋊C4—21no—
1636C22⋊C4—21no—
1637C22⋊C4—731no—
1638C22⋊C4—731no—
1639C22⋊C4—731no—
1640C22⋊C4—731no—
1641C22⋊C4—731no—
1642C22⋊C4—731no—
1643C22⋊C4—731no—
1644C22⋊C4—731no—
1645C22⋊C4—731no—
1646C22⋊C4—731no—
1647C22⋊C4—1461no—
1648C22⋊C4—1461no—
1649C22⋊C4—1461no—
1650C22⋊C4—1461no—
1651C22⋊C4—1461no—
1652C22⋊C4—1461no—
1653C22⋊C4—1461no—
1654C22⋊C4—1461no—
1655C22⋊C4—1461no—
1656C22⋊C4—1461no—
1657C22⋊C4—1461no—
1658C22⋊C4—1461no—
1659C22⋊C4—1461no—
1660C22⋊C4—1461no—
1661C22⋊C4—1461no—
1662C22⋊C4—1461no—
1663C22⋊C4—1461no—
1664C22⋊C4—1461no—
1665C22⋊C4—1461no—
1666C22⋊C4—1461no—
1667C22⋊C4—1461no—
1668C22⋊C4—1461no—
1669C42—21no—
1670C42—21no—
1671C42—731no—
1672C42—731no—
1673C42—1461no—
1674C42—1461no—
1675C42—1461no—
1676C42—1461no—
1677C42—1461no—
1678C42—1461no—
1679C23—22no—
1680C23—21no—
1681C23—21no—
1682C23—41no—
1683C23—41no—
1684C23—2922no—
1685C23—5841no—
1686C23—5841no—
1687C23—5841no—
1688C23—5841no—
1689C23—5841no—
1690C23—731no—
1691C23—731no—
1692C23—1461no—
1693C23—1461no—
1694C23C2×D4×D7311yescharacteristic
1695C23C2×D4×D7311yescharacteristic
1696C23C2×D4×D7311yescharacteristic
1697Q8—21no—
1698Q8—21no—
1699Q8—21no—
1700Q8—21no—
1701Q8—2922no—
1702Q8—2922no—
1703Q8—2922no—
1704Q8—2922no—
1705Q8—2922no—
1706Q8—2921no—
1707Q8—2922no—
1708Q8—2922no—
1709Q8—5841no—
1710Q8—732no—
1711Q8—732no—
1712Q8—1464no—
1713Q8—1461no—
1714Q8—1461no—
1715Q8—1461no—
1716Q8—1461no—
1717Q8—1461no—
1718Q8—1461no—
1719D4—21no—
1720D4—21no—
1721D4—21no—
1722D4—21no—
1723D4—42no—
1724D4—42no—
1725D4—42no—
1726D4—42no—
1727D4—81no—
1728D4—81no—
1729D4—2921no—
1730D4—2921no—
1731D4—2921no—
1732D4—2921no—
1733D4—2921no—
1734D4—2922no—
1735D4—2922no—
1736D4—5841no—
1737D4—5841no—
1738D4—5841no—
1739D4—5841no—
1740D4—5841no—
1741D4—5841no—
1742D4—5841no—
1743D4—5841no—
1744D4—5841no—
1745D4—5841no—
1746D4—5841no—
1747D4—5841no—
1748D4—1462no—
1749D4—1462no—
1750D4—1461no—
1751D4—1461no—
1752D4—1461no—
1753D4—1461no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—21no—
1763C2×C4—21no—
1764C2×C4—21no—
1765C2×C4—21no—
1766C2×C4—41no—
1767C2×C4—41no—
1768C2×C4—41no—
1769C2×C4—42no—
1770C2×C4—81no—
1771C2×C4—2922no—
1772C2×C4—2922no—
1773C2×C4—2922no—
1774C2×C4—2922no—
1775C2×C4—2922no—
1776C2×C4—2922no—
1777C2×C4—2922no—
1778C2×C4—2922no—
1779C2×C4—2922no—
1780C2×C4—2922no—
1781C2×C4—5841no—
1782C2×C4—5841no—
1783C2×C4—5841no—
1784C2×C4—5841no—
1785C2×C4—5841no—
1786C2×C4—731no—
1787C2×C4—731no—
1788C2×C4—731no—
1789C2×C4—731no—
1790C2×C4—731no—
1791C2×C4—731no—
1792C2×C4—1461no—
1793C2×C4—1461no—
1794C2×C4—1461no—
1795C2×C4—1461no—
1796C2×C4—1464no—
1797C2×C4—1461no—
1798C2×C4—1461no—
1799C2×C4—1461no—
1800C2×C4—1461no—
1801C2×C4—1461no—
1802C2×C4—1461no—
1803C2×C4C2×D4×D7311yescharacteristic
1804C2×C4C2×D4×D7311yescharacteristic
1805C2×C4C2×D4×D7311yescharacteristic
1806C2×C4C24×D7311yescharacteristic
1807C8—21no—
1808C8—21no—
1809C8—21no—
1810C8—21no—
1811C8—1461no—
1812C8—1461no—
1813C8—1461no—
1814C8—1461no—
1815C22—21no—
1816C22—21no—
1817C22—21no—
1818C22—21no—
1819C22—21no—
1820C22—21no—
1821C22—21no—
1822C22—21no—
1823C22—44no—
1824C22—41no—
1825C22—41no—
1826C22—41no—
1827C22—41no—
1828C22—41no—
1829C22—41no—
1830C22—2921no—
1831C22—2921no—
1832C22—2921no—
1833C22—2921no—
1834C22—2921no—
1835C22—2921no—
1836C22—11682no—
1837C22—11682no—
1838C22—1461no—
1839C22—1461no—
1840C22—1461no—
1841C22—1461no—
1842C22—1461no—
1843C22—1461no—
1844C22#1798939412yes—
1845C22C22×D4×D7311yescharacteristic
1846C4—21no—
1847C4—21no—
1848C4—21no—
1849C4—41no—
1850C4—41no—
1851C4—41no—
1852C4—41no—
1853C4—41no—
1854C4—41no—
1855C4—2921no—
1856C4—2921no—
1857C4—2921no—
1858C4—2921no—
1859C4—1462no—
1860C4—1462no—
1861C4—1461no—
1862C4—1461no—
1863C4—1461no—
1864C4—1461no—
1865C4—1461no—
1866C4—1461no—
1867C4H(5,𝔽2)×D7311yescharacteristic
1868C4H(5,𝔽2)×D7311yescharacteristic
1869C2—22no—
1870C2—41no—
1871C2—41no—
1872C2—81no—
1873C2—81no—
1874C2—2921no—
1875C2—2921no—
1876C2—5841no—
1877C2—5841no—
1878C2#2262356311yescharacteristic
1879C2C2×#1798939411yescharacteristic
1880C2#2262471511yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3191C2
socleC22×C73C23×D4
hypercenter#3191D73
hypocenterC73#61611
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C23×C4 ◁ #3191

Complements

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

NH ≅ G/Ntype
1. #22624239C2semidirect
2. #22623578C2semidirect
3. #22622223C2semidirect
4. #22622182C2semidirect
5. #22622120C2semidirect
6. #22622105C2semidirect
7. #22621988C2semidirect
8. #22621928C2semidirect
9. #22621824C2semidirect
10. #22621791C2semidirect
11. #22621635C2semidirect
12. #22621624C2semidirect
13. #22621590C2semidirect
14. #22621560C2semidirect
15. #22621514C2semidirect
16. #22621439C2semidirect
17. #22621438C2semidirect
18. #22621423C2semidirect
19. #22621044C2semidirect
20. #22620990C2semidirect
21. #22620819C2semidirect
22. #22620805C2semidirect
23. #22620741C2semidirect
24. #22620218C2semidirect
25. #22620163C2semidirect
26. #22619250C2semidirect
27. #22619214C2semidirect
28. #22619164C2semidirect
29. C2×#17988728C2semidirect
30. #22618976C2semidirect
31. C73×#3191C2semidirect
32. C2×#14556638C22semidirect
33. C23×Dic146C22semidirect
34. C2×#14556623C22semidirect
35. C2×#14556621C22semidirect
36. C2×#14556621C22semidirect
37. C2×#14556615C22semidirect
38. C2×#14556612C22semidirect
41. C2×SD16×D73C22semidirect
52. #17989250C22semidirect
53. #17989250C22semidirect
54. #17989250C22semidirect
58. #17989243C22semidirect
59. #17989243C22semidirect
60. #17989243C22semidirect
71. #17989163C22semidirect
74. #17989158C22semidirect
82. #17989064C22semidirect
83. #17988980C22semidirect
84. #17988975C22semidirect
85. #17988968C22semidirect
86. #17988958C22semidirect
87. #17988954C22semidirect
88. #17988945C22semidirect
89. #17988940C22semidirect
90. #17988936C22semidirect
91. #17988931C22semidirect
92. #17988930C22semidirect
93. #17988924C22semidirect
94. #17988919C22semidirect
95. #17988915C22semidirect
97. #17988911C22semidirect
98. #17988898C22semidirect
99. #17988897C22semidirect
100. #17988893C22semidirect
101. #17988881C22semidirect
102. #17988871C22semidirect
103. #17988844C22semidirect
105. #17988838C22semidirect
107. #17988835C22semidirect
108. #17988834C22semidirect
109. #17988834C22semidirect
110. #17988832C22semidirect
111. #17988827C22semidirect
112. #17988817C22semidirect
113. #17988817C22semidirect
114. #17988815C22semidirect
115. #17988812C22semidirect
116. #17988812C22semidirect
117. #17988807C22semidirect
118. #17988801C22semidirect
119. #17988801C22semidirect
120. #17988800C22semidirect
121. #17988795C22semidirect
122. #17988791C22semidirect
123. #17988791C22semidirect
124. #17988790C22semidirect
125. #17988786C22semidirect
126. #17988786C22semidirect
127. #17988752C22semidirect
128. #17988752C22semidirect
129. #17988746C22semidirect
130. #17988742C22semidirect
131. #17988742C22semidirect
132. #17988742C22semidirect
133. #17988742C22semidirect
134. #17988741C22semidirect
135. #17988739C22semidirect
136. #17988739C22semidirect
138. #17988733C22semidirect
139. #17988733C22semidirect
141. #17988732C22semidirect
142. #17988729C22semidirect
147. #17988728C22semidirect
148. #17988728C22semidirect
149. #17988728C22semidirect
150. #17988728C22semidirect
151. #17988727C22semidirect
152. #17988727C22semidirect
155. #17988725C22semidirect
156. #17988725C22semidirect
157. #17988724C22semidirect
159. #17988691C22semidirect
160. #17988686C22semidirect
161. #17988686C22semidirect
162. #17988684C22semidirect
163. #17988679C22semidirect
164. #17988678C22semidirect
165. #17988674C22semidirect
166. #17988674C22semidirect
167. #17988662C22semidirect
168. #17988662C22semidirect
169. #17988661C22semidirect
170. #17988661C22semidirect
172. #17988658C22semidirect
174. C8×C22⋊D73C22semidirect
175. #17988645C22semidirect
176. #17988645C22semidirect
177. #17988595C22semidirect
178. #17988595C22semidirect
179. #17988594C22semidirect
180. #17988585C22semidirect
181. #17988580C22semidirect
182. C2×#14556516C22semidirect
183. C2×#14556516C22semidirect
184. #103×D73C22semidirect
185. #17988552C22semidirect
186. #17988552C22semidirect
187. #17988551C22semidirect
189. #525×C73C22semidirect
190. #485×C73C22semidirect
191. #485×C73C22semidirect
192. #482×C73C22semidirect
193. #482×C73C22semidirect
194. #467×C73C22semidirect
197. #465×C73C22semidirect
198. #452×C73C22semidirect
199. #452×C73C22semidirect
200. #449×C73C22semidirect
201. #449×C73C22semidirect
202. C2×C22⋊C8×C73C22semidirect
964. #3191D73semidirect
972. C73#61611semidirect
1023. #525C2×D73semidirect
1036. #485C2×D73semidirect
1037. #485C2×D73semidirect
1043. #482C2×D73semidirect
1044. #482C2×D73semidirect
1059. #467C2×D73semidirect
1065. #465C2×D73semidirect
1081. #452C2×D73semidirect
1082. #452C2×D73semidirect
1096. #449C2×D73semidirect
1097. #449C2×D73semidirect
1143. C2×C22⋊C8C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226242392
#226235782
#226222232
#226221822
#226221202
#226221052
#226219882
#226219282
#226218242
#226217912
#226216352
#226216242
#226215902
#226215602
#226215142
#226214392
#226214382
#226214232
#226210442
#226209902
#226208192
#226208052
#226207412
#226202182
#226201632
#226192502
#226192142
#226191642
C2×#179887282
#226189762
C73×#31912
#6161173