Finite Group Databasebeta

← #33978756

Subgroups — #33978756

Order 18688.

1906 conjugacy classes of subgroups.

The subgroup lattice has 1786 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623801C211yesmaximal, characteristic, complemented
2#22623545C211yesmaximal, characteristic, complemented
3#22622998C211yesmaximal, characteristic, complemented
4#22622990C211yesmaximal, characteristic, complemented
5#22622702C211yesmaximal, characteristic, complemented
6#22622694C211yesmaximal, characteristic, complemented
7#22622051C211yesmaximal, characteristic, complemented
8#22621895C211yesmaximal, characteristic, complemented
9#22621893C211yesmaximal, characteristic, complemented
10#22621769C211yesmaximal, characteristic, complemented
11#22621767C211yesmaximal, characteristic, complemented
12#22621645C211yesmaximal, characteristic, complemented
13#22621636C211yesmaximal, characteristic, complemented
14#22621521C211yesmaximal, characteristic, complemented
15#22621512C211yesmaximal, characteristic, complemented
16#22621448C211yesmaximal, characteristic, complemented
17#22621439C211yesmaximal, characteristic, complemented
18#22621288C211yesmaximal, characteristic, complemented
19#22621267C211yesmaximal, characteristic, complemented
20#22621242C211yesmaximal, characteristic, complemented
21#22620950C211yesmaximal, characteristic, complemented
22#22620939C211yesmaximal, characteristic, complemented
23#22620910C211yesmaximal, characteristic, complemented
24#22620077C211yesmaximal, characteristic, complemented
25#22620059C211yesmaximal, characteristic, complemented
26#22619959C211yesmaximal, characteristic, complemented
27#22619402C211yesmaximal, characteristic, complemented
28#22619384C211yesmaximal, characteristic, complemented
29#460×D73C211yesmaximal, characteristic, complemented
30#22619051C211yesmaximal, characteristic, complemented
31C73×#3317C211yesmaximal, characteristic, complemented
32C2×#14556624C2211yescharacteristic, complemented
33C2×#14556621C2211yescharacteristic, complemented
34C2×#14556613C2211yescharacteristic, complemented
35C2×#14556611C2211yescharacteristic, complemented
36C2×SD16×D73C2211yescharacteristic
37C2×SD16×D73C2211yescharacteristic
38#17989323C2211yescharacteristic
39#17989322C2211yescharacteristic
40#17989320—21no—
41#17989314C2211yescharacteristic, complemented
42#17989309C2211yescharacteristic, complemented
43#17989304—21no—
44#17989276C2211yescharacteristic
45#17989270—21no—
46#17989269—21no—
47#17989258C2211yescharacteristic
48#17989257—21no—
49#17989250C2211yescharacteristic
50#17989247C2211yescharacteristic
51#17989246C2211yescharacteristic, complemented
52#17989238C2211yescharacteristic
53#17989235—21no—
54#17989234C2211yescharacteristic
55#17989234C2211yescharacteristic
56#17989226—21no—
57#17989226—21no—
58#17989225C2211yescharacteristic
59#17989225C2211yescharacteristic
60#17989187—21no—
61#17989187—21no—
62#17989150—21no—
63#17989143—21no—
64#17989141C2211yescharacteristic
65#17989139C2211yescharacteristic, complemented
66#17989133C2211yescharacteristic
67#17989133C2211yescharacteristic
68#17989132C2211yescharacteristic
69#17989132C2211yescharacteristic
70#127×D73C2211yescharacteristic
71#17989123C2211yescharacteristic, complemented
72#17989122C2211yescharacteristic
73#17989120—21no—
74#17989114—21no—
75#17989059—21no—
76#17989055—21no—
77#17989055C2211yescharacteristic, complemented
78C4×#11924027C2211yescharacteristic
79C2×#14556556C2211yescharacteristic, complemented
80C4×Q8×D73C2211yescharacteristic
81#17988980C2211yescharacteristic, complemented
82#17988978C2211yescharacteristic, complemented
83#17988976C2211yescharacteristic
84#17988974C2211yescharacteristic
85#17988972C2211yescharacteristic, complemented
86#17988968C2211yescharacteristic, complemented
87#17988953C2211yescharacteristic
88#17988948C2211yescharacteristic, complemented
89#17988945C2211yescharacteristic, complemented
90#17988943C2211yescharacteristic, complemented
91#17988940C2211yescharacteristic, complemented
92#17988919C2211yescharacteristic
93#17988916C2211yescharacteristic
94#17988911C2211yescharacteristic, complemented
95#17988905C2211yescharacteristic, complemented
96#17988891C2211yescharacteristic, complemented
97#17988890C2211yescharacteristic, complemented
98#17988889C2211yescharacteristic, complemented
99#17988876C2211yescharacteristic, complemented
100#17988875C2211yescharacteristic, complemented
101#17988871C2211yescharacteristic, complemented
102#17988871C2211yescharacteristic, complemented
103#17988870C2211yescharacteristic, complemented
104#17988866C2211yescharacteristic, complemented
105#17988840C2211yescharacteristic, complemented
106#17988838C2211yescharacteristic, complemented
107#17988835C2211yescharacteristic, complemented
108#17988829C2211yescharacteristic
109#17988827C2211yescharacteristic
110#17988819C2211yescharacteristic
111#17988818C2211yescharacteristic, complemented
112#17988817C2211yescharacteristic
113#17988816C2211yescharacteristic, complemented
114#17988814C2211yescharacteristic, complemented
115#17988812C2211yescharacteristic, complemented
116#17988812C2211yescharacteristic, complemented
117#17988812C2211yescharacteristic, complemented
118#17988810C2211yescharacteristic, complemented
119#17988809C2211yescharacteristic, complemented
120#17988808C2211yescharacteristic, complemented
121#17988808C2211yescharacteristic, complemented
122#17988808C2211yescharacteristic, complemented
123#17988805C2211yescharacteristic, complemented
124#17988805C2211yescharacteristic, complemented
125#17988804C2211yescharacteristic, complemented
126#17988801C2211yescharacteristic, complemented
127#17988796C2211yescharacteristic, complemented
128#17988796C2211yescharacteristic, complemented
129#17988795C2211yescharacteristic, complemented
130#17988791C2211yescharacteristic, complemented
131#17988791C2211yescharacteristic, complemented
132#17988790C2211yescharacteristic, complemented
133#17988788C2211yescharacteristic
134#17988787C2211yescharacteristic
135#17988786C2211yescharacteristic
136#17988786C2211yescharacteristic
137#17988786C2211yescharacteristic
138#17988786C2211yescharacteristic
139#17988785C2211yescharacteristic
140#17988785C2211yescharacteristic
141#17988784C2211yescharacteristic
142#17988781C2211yescharacteristic
143#17988781C2211yescharacteristic
144#17988751C2211yescharacteristic, complemented
145#17988749C2211yescharacteristic, complemented
146#17988747C2211yescharacteristic, complemented
147#17988747C2211yescharacteristic, complemented
148#17988744C2211yescharacteristic
149#17988741C2211yescharacteristic
150#17988739C2211yescharacteristic
151#17988739C2211yescharacteristic
152#17988734C2211yescharacteristic, complemented
153#17988734C2211yescharacteristic, complemented
154#17988732C2211yescharacteristic, complemented
155#17988730C2211yescharacteristic, complemented
156#17988728C2211yescharacteristic, complemented
157#17988725C2211yescharacteristic, complemented
158#17988722C2211yescharacteristic
159#17988722C2211yescharacteristic
160#17988716C2211yescharacteristic, complemented
161#17988715C2211yescharacteristic, complemented
162#17988698C2211yescharacteristic, complemented
163#17988696C2211yescharacteristic, complemented
164#17988695C2211yescharacteristic, complemented
165#17988692C2211yescharacteristic, complemented
166#17988692C2211yescharacteristic, complemented
167#17988686C2211yescharacteristic, complemented
168#17988684C2211yescharacteristic, complemented
169#17988678C2211yescharacteristic, complemented
170#17988678C2211yescharacteristic, complemented
171#17988674C2211yescharacteristic, complemented
172#17988674C2211yescharacteristic, complemented
173#17988661C2211yescharacteristic
174#17988659C2211yescharacteristic, complemented
175#17988656C2211yescharacteristic
176C8×C22⋊D73C2211yescharacteristic
177#17988650C2211yescharacteristic
178#17988642C2211yescharacteristic
179#17988641C2211yescharacteristic, complemented
180#17988637C2211yescharacteristic, complemented
181#17988610C2211yescharacteristic, complemented
182C2×#14556520C2211yescharacteristic, complemented
183C4⋊C8×D73C2211yescharacteristic
184#17988586C2211yescharacteristic, complemented
185#17988581C2211yescharacteristic, complemented
186#102×D73C2211yescharacteristic
187#102×D73C2211yescharacteristic
188#552×C73C2211yescharacteristic, complemented
189#550×C73C2211yescharacteristic
190#490×C73C2211yescharacteristic
191#482×C73C2211yescharacteristic, complemented
192#481×C73C2211yescharacteristic, complemented
193#479×C73C2211yescharacteristic, complemented
194#468×C73C2211yescharacteristic, complemented
195#465×C73C2211yescharacteristic, complemented
196#460×C73C2211yescharacteristic
197#452×C73C2211yescharacteristic, complemented
198#452×C73C2211yescharacteristic, complemented
199#441×C73C2211yescharacteristic, complemented
200#435×C73C2211yescharacteristic, complemented
201#417×C73C2211yescharacteristic, complemented
202#416×C73C2211yescharacteristic, complemented
203C2×#11924028—21no—
204C2×#11924028C2311yescharacteristic
205C2×#11924028C2311yescharacteristic
206C2×#11924028C2311yescharacteristic
207C2×#11924027—21no—
208C2×#11924027—21no—
209C2×#11924027D411yescharacteristic
210C22×Dic146C2311yescharacteristic
211C2×Q8×D73C2311yescharacteristic
212C2×D4×D73—21no—
213C2×D4×D73—21no—
214C2×D4×D73C2311yescharacteristic
215C2×D4×D73C2311yescharacteristic
216#14556624—42no—
217#14556621—42no—
218#14556613—42no—
219#14556611—42no—
220C2×Dic292C2311yescharacteristic
221C2×Dic292C2311yescharacteristic
222C2×#11924018C2311yescharacteristic
223C2×#11924018C2311yescharacteristic
224C2×#11924018C2311yescharacteristic
225C2×#11924017C2311yescharacteristic
226C2×#11924017C2311yescharacteristic
227C2×#11924017C2311yescharacteristic
228C2×#11924017C2311yescharacteristic
229C2×#11924017C2311yescharacteristic
230C2×#11924016C2311yescharacteristic
231C2×#11924016C2311yescharacteristic
232C2×#11924016C2311yescharacteristic
233C2×#11924016C2311yescharacteristic
234C2×#11924015C2311yescharacteristic
235C2×#11924015C2311yescharacteristic
236C2×#11924015C2311yescharacteristic
237SD16×D73—42no—
238SD16×D73—42no—
239C2×D584C2311yescharacteristic
240C2×D584C2311yescharacteristic
241C2×#11924013C2311yescharacteristic
242C2×#11924013C2311yescharacteristic
243C2×#11924012C2311yescharacteristic
244C22×#10596831C2311yescharacteristic
245C2×C8×D73C2311yescharacteristic
246C2×C8×D73C2311yescharacteristic
247#14556590—21no—
248#14556590—21no—
249#14556590C2311yescharacteristic
250#14556590C2311yescharacteristic
251#14556589C2311yescharacteristic
252#14556589C2311yescharacteristic
253#14556588C2311yescharacteristic
254#14556587—21no—
255#14556587—21no—
256#14556587—21no—
257#14556587C2311yescharacteristic
258#14556587C2311yescharacteristic
259#14556586—21no—
260#14556586—21no—
261#14556586—21no—
262#14556585—21no—
263#14556584—21no—
264#14556583—21no—
265#14556582C2311yescharacteristic
266#14556581—21no—
267#14556581—21no—
268#14556581—21no—
269#14556581—21no—
270#14556580C2311yescharacteristic
271#14556580C2311yescharacteristic
272#14556580C2311yescharacteristic
273#14556579—21no—
274#14556579C2311yescharacteristic
275#14556578—21no—
276#14556578C2311yescharacteristic
277#14556578C2311yescharacteristic
278#14556577—21no—
279#14556577—21no—
280#14556577—21no—
281#14556577—21no—
282#14556576—21no—
283#14556576—21no—
284#14556576—21no—
285#14556576—21no—
286#14556575—21no—
287#14556574—21no—
288#14556574—21no—
289#14556574—21no—
290#14556573—21no—
291#14556573—21no—
292#14556573—21no—
293#14556572—21no—
294#14556572—21no—
295#14556571C2311yescharacteristic
296#14556571C2311yescharacteristic
297#14556570C2311yescharacteristic
298#14556569—21no—
299#14556569—21no—
300#14556569—21no—
301#14556569—21no—
302#14556569—21no—
303#14556569—21no—
304#14556568—21no—
305#14556568—21no—
306#14556567C2311yescharacteristic
307#14556566C2311yescharacteristic
308#14556565C2311yescharacteristic
309#14556565C2311yescharacteristic
310#14556565C2311yescharacteristic
311#14556564—21no—
312#14556564—21no—
313#14556564—21no—
314#14556563—21no—
315#14556563—21no—
316#14556563—21no—
317#14556563—21no—
318#14556563—21no—
319#14556563—21no—
320#14556563—21no—
321#14556563—21no—
322#14556563—21no—
323#14556562—21no—
324#14556562—21no—
325#14556559—21no—
326#14556559—21no—
327#14556559—21no—
328#14556559—21no—
329Q8×Dic73C2311yescharacteristic
330C4×Dic146—21no—
331C4×Dic146—21no—
332C4×Dic146C2311yescharacteristic
333C4×Dic146C2311yescharacteristic
334C4×Dic146C2311yescharacteristic
335#14556556—21no—
336#14556556—21no—
337#14556556—21no—
338#14556556—21no—
339#14556556—21no—
340#14556556D411yescharacteristic
341#14556556C2311yescharacteristic
342#14556556C2311yescharacteristic
343#14556556C2311yescharacteristic
344#14556556C2311yescharacteristic
345#14556556C2311yescharacteristic
346C4×D292—21no—
347D4×Dic73—21no—
348D4×Dic73D411yescharacteristic
349D4×Dic73C2311yescharacteristic
350D4×Dic73C2311yescharacteristic
351#14556553—21no—
352#14556553—21no—
353#14556553—21no—
354#14556553C2311yescharacteristic
355#14556553C2311yescharacteristic
356#14556553C2311yescharacteristic
357#14556553C2311yescharacteristic
358C4×C22⋊D73—21no—
359C4×C22⋊D73—21no—
360C4×C22⋊D73—21no—
361C4×C22⋊D73—21no—
362C4×C22⋊D73C2311yescharacteristic
363C4×C22⋊D73C2311yescharacteristic
364#14556551—21no—
365#14556551—21no—
366#14556551—21no—
367#14556551—21no—
368#14556551—21no—
369#14556551—21no—
370#14556551—21no—
371#14556551D411yescharacteristic
372#14556551D411yescharacteristic
373#14556549—21no—
374#14556549—21no—
375#14556549D411yescharacteristic
376#14556548—21no—
377#14556548—21no—
378#14556548—21no—
379#14556548—21no—
380#14556547—21no—
381#14556547D411yescharacteristic
382#14556547D411yescharacteristic
383C2×#11924007—21no—
384C4⋊C4×D73—21no—
385C4⋊C4×D73C2311yescharacteristic
386C2×#11924005—21no—
387C2×#11924005—21no—
388C22⋊C4×D73—21no—
389C22⋊C4×D73—21no—
390C2×C4×Dic73—21no—
391C2×C4×Dic73C2311yescharacteristic
392C2×C4×Dic73C2311yescharacteristic
393C42×D73—21no—
394C42×D73—21no—
395C42×D73C2311yescharacteristic
396#14556524C2311yescharacteristic
397#14556523C2311yescharacteristic
398#14556522C2311yescharacteristic
399#14556522C2311yescharacteristic
400#14556522C2311yescharacteristic
401C4⋊#10596831C2311yescharacteristic
402#14556520C2311yescharacteristic
403#14556520C2311yescharacteristic
404#14556520C2311yescharacteristic
405#14556520C2311yescharacteristic
406#14556520C2311yescharacteristic
407#14556520C2311yescharacteristic
408#14556520C2311yescharacteristic
409#14556520C2311yescharacteristic
410#14556516C2311yescharacteristic
411#14556516C2311yescharacteristic
412#14556516C2311yescharacteristic
413#14556515C2311yescharacteristic
414#14556515C2311yescharacteristic
415#14556514C2311yescharacteristic
416#14556514C2311yescharacteristic
417#14556514C2311yescharacteristic
418#14556514C2311yescharacteristic
419#14556514C2311yescharacteristic
420#14556513C2311yescharacteristic
421#14556513C2311yescharacteristic
422#14556513C2311yescharacteristic
423#14556512C2311yescharacteristic
424#14556512C2311yescharacteristic
425#14556511C2311yescharacteristic
426#14556511C2311yescharacteristic
427#14556511C2311yescharacteristic
428#14556511C2311yescharacteristic
429#14556511C2311yescharacteristic
430#14556511C2311yescharacteristic
431#14556511C2311yescharacteristic
432C22⋊#10596831C2311yescharacteristic
433C22⋊#10596831C2311yescharacteristic
434#14556503C2311yescharacteristic
435#14556503C2311yescharacteristic
436#14556502C2311yescharacteristic
437#14556501C2311yescharacteristic
438#14556501C2311yescharacteristic
439C8×Dic73C2311yescharacteristic
440C8×Dic73C2311yescharacteristic
441C2×#41×C73C2311yescharacteristic
442C2×#41×C73C2311yescharacteristic
443C2×Q16×C73C2311yescharacteristic
444C2×SD16×C73C2311yescharacteristic
445C2×SD16×C73C2311yescharacteristic
446C2×M16×C73C2311yescharacteristic
447C22×C8×C73C2311yescharacteristic
448#127×C73—21no—
449#127×C73C2311yescharacteristic
450#126×C73—21no—
451#125×C73—21no—
452#125×C73C2311yescharacteristic
453#123×C73—21no—
454C22⋊Q8×C73C2311yescharacteristic
455C22⋊Q8×C73C2311yescharacteristic
456#121×C73—21no—
457#121×C73—21no—
458#121×C73C2311yescharacteristic
459#121×C73C2311yescharacteristic
460C4×Q8×C73C2311yescharacteristic
461C4×Q8×C73C2311yescharacteristic
462C4×D4×C73—21no—
463C4×D4×C73C2311yescharacteristic
464#117×C73—21no—
465#117×C73C2311yescharacteristic
466C2×C4⋊C4×C73C2311yescharacteristic
467#107×C73C2311yescharacteristic
468#106×C73C2311yescharacteristic
469#106×C73C2311yescharacteristic
470C4⋊C8×C73C2311yescharacteristic
471#103×C73C2311yescharacteristic
472#103×C73C2311yescharacteristic
473#103×C73C2311yescharacteristic
474#103×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478#102×C73C2311yescharacteristic
479#102×C73C2311yescharacteristic
480#102×C73C2311yescharacteristic
481C22⋊C8×C73C2311yescharacteristic
482C22⋊C8×C73C2311yescharacteristic
483#97×C73C2311yescharacteristic
484C23×D73—21no—
485C23×D73—21no—
486#11924028—22no—
487#11924028—41no—
488#11924028—41no—
489#11924028—41no—
490#11924028—41no—
491#11924028—41no—
492#11924028—44no—
493#11924027—42no—
494#11924027—82no—
495#11924027—82no—
496C2×Dic146—22no—
497C2×Dic146—21no—
498C2×Dic146—21no—
499C2×Dic146—21no—
500C2×Dic146—21no—
501C2×Dic146—41no—
502C2×Dic146C2×D411yescharacteristic
503C2×Dic146C2411yescharacteristic
504C2×Dic146C2411yescharacteristic
505C2×Dic146C2411yescharacteristic
506Q8×D73—22no—
507Q8×D73—41no—
508C2×D292—21no—
509C2×D292—21no—
510C2×D292—21no—
511C2×D292C2411yescharacteristic
512C2×D292C2411yescharacteristic
513C2×D292C2411yescharacteristic
514C2×C22⋊D73—21no—
515C2×C22⋊D73—21no—
516C2×C22⋊D73—21no—
517C2×C22⋊D73—21no—
518C2×C22⋊D73—21no—
519C2×C22⋊D73—21no—
520C2×C22⋊D73—21no—
521C2×C22⋊D73—21no—
522C2×C22⋊D73—21no—
523C2×C22⋊D73—21no—
524C2×C22⋊D73—21no—
525C2×C22⋊D73—21no—
526C2×C22⋊D73C2×D411yescharacteristic
527C2×C22⋊D73C2×D411yescharacteristic
528D4×D73—41no—
529D4×D73—41no—
530D4×D73—41no—
531D4×D73—41no—
532D4×D73—44no—
533D4×D73—82no—
534C22×Dic73—21no—
535C22×Dic73—21no—
536C22×Dic73—21no—
537C22×Dic73C2×D411yescharacteristic
538C22×Dic73C2×D411yescharacteristic
539C22×Dic73C2×D411yescharacteristic
540C22×Dic73C2×D411yescharacteristic
541C2×C4×D73—21no—
542C2×C4×D73—21no—
543C2×C4×D73—21no—
544C2×C4×D73—21no—
545C2×C4×D73—21no—
546C2×C4×D73—21no—
547C2×C4×D73—21no—
548C2×C4×D73—21no—
549C2×C4×D73—21no—
550C2×C4×D73C2×D411yescharacteristic
551C2×C4×D73C2×D411yescharacteristic
552C2×C4×D73C2411yescharacteristic
553Dic292—22no—
554Dic292—41no—
555#11924018—22no—
556#11924018—41no—
557#11924018—41no—
558#11924017—22no—
559#11924017—22no—
560#11924017—41no—
561#11924017—41no—
562#11924017—41no—
563#11924016—22no—
564#11924016—22no—
565#11924016—41no—
566#11924016—41no—
567#11924015—41no—
568#11924015—41no—
569#11924015—41no—
570D584—41no—
571D584—41no—
572#11924013—41no—
573#11924013—41no—
574#11924012—41no—
575C2×#10596831—41no—
576C2×#10596831C2411yescharacteristic
577C2×#10596831C2411yescharacteristic
578C2×#10596831C2411yescharacteristic
579C2×#10596831C2411yescharacteristic
580C8×D73—41no—
581C8×D73—41no—
582C4⋊Dic73—21no—
583C4⋊Dic73—21no—
584C4⋊Dic73—21no—
585C4⋊Dic73—21no—
586C4⋊Dic73C2×D411yescharacteristic
587C4⋊Dic73C2411yescharacteristic
588C4⋊Dic73C2411yescharacteristic
589#11924007—21no—
590#11924007—21no—
591#11924007—21no—
592#11924007—21no—
593#11924007—21no—
594#11924007—21no—
595#11924007—21no—
596#11924007—21no—
597#11924007—21no—
598#11924007—21no—
599#11924007—21no—
600#11924007—21no—
601#11924007—21no—
602#11924007—21no—
603#11924007—21no—
604#11924007—21no—
605#11924007—21no—
606#11924007C2×D411yescharacteristic
607#11924007C2×D411yescharacteristic
608#11924007C2×D411yescharacteristic
609#11924007C2×D411yescharacteristic
610C22⋊Dic73—21no—
611C22⋊Dic73—21no—
612C22⋊Dic73—21no—
613C22⋊Dic73—21no—
614C22⋊Dic73—21no—
615C22⋊Dic73—21no—
616C22⋊Dic73—21no—
617C22⋊Dic73C2×D411yescharacteristic
618C22⋊Dic73C2×D411yescharacteristic
619#11924005—21no—
620#11924005—21no—
621#11924005—21no—
622#11924005—21no—
623#11924005—21no—
624#11924005—21no—
625#11924005—21no—
626#11924005—21no—
627#11924005—21no—
628#11924005—21no—
629#11924005—21no—
630#11924005—21no—
631#11924005—21no—
632#11924005—21no—
633#11924005—21no—
634#11924005—21no—
635#11924005—21no—
636#11924005—21no—
637#11924005—21no—
638#11924005C2×D411yescharacteristic
639#11924005C2×D411yescharacteristic
640C4×Dic73—21no—
641C4×Dic73—21no—
642C4×Dic73—21no—
643C4×Dic73—21no—
644C4×Dic73—21no—
645C4×Dic73—21no—
646C4×Dic73—21no—
647C4×Dic73—21no—
648C4×Dic73C2×D411yescharacteristic
649C4×Dic73C2×D411yescharacteristic
650C4×Dic73C2×D411yescharacteristic
651C4×Dic73C2×D411yescharacteristic
652C4×Dic73C2×D411yescharacteristic
653C4×Dic73C2×D411yescharacteristic
654C4×Dic73C2411yescharacteristic
655C4×Dic73C2411yescharacteristic
656C4×Dic73C2411yescharacteristic
657#41×C73—41no—
658#41×C73—41no—
659#41×C73—41no—
660#41×C73—41no—
661C2×Q8×C73C2411yescharacteristic
662C2×Q8×C73C2411yescharacteristic
663C2×D4×C73—21no—
664C2×D4×C73—21no—
665C2×D4×C73—21no—
666C2×D4×C73—21no—
667C2×D4×C73—21no—
668C2×D4×C73—21no—
669C2×D4×C73C2×D411yescharacteristic
670C2×D4×C73C2411yescharacteristic
671C2×D4×C73C2411yescharacteristic
672C22×C4×C73—21no—
673C22×C4×C73—21no—
674C22×C4×C73—21no—
675C22×C4×C73C2411yescharacteristic
676C22×C4×C73C2411yescharacteristic
677Q16×C73—41no—
678SD16×C73—41no—
679SD16×C73—41no—
680M16×C73—41no—
681C2×C8×C73—41no—
682C2×C8×C73C2411yescharacteristic
683C2×C8×C73C2411yescharacteristic
684C2×C8×C73C2411yescharacteristic
685C2×C8×C73C2411yescharacteristic
686C4⋊C4×C73—21no—
687C4⋊C4×C73—21no—
688C4⋊C4×C73—21no—
689C4⋊C4×C73—21no—
690C4⋊C4×C73—21no—
691C4⋊C4×C73—21no—
692C4⋊C4×C73—21no—
693C4⋊C4×C73C2×D411yescharacteristic
694C4⋊C4×C73C2411yescharacteristic
695C4⋊C4×C73C2411yescharacteristic
696C4⋊C4×C73C2411yescharacteristic
697C4⋊C4×C73C2411yescharacteristic
698C22⋊C4×C73—21no—
699C22⋊C4×C73—21no—
700C22⋊C4×C73—21no—
701C22⋊C4×C73—21no—
702C22⋊C4×C73—21no—
703C22⋊C4×C73C2×D411yescharacteristic
704C22⋊C4×C73C2×D411yescharacteristic
705C42×C73—21no—
706C42×C73—21no—
707C42×C73—21no—
708C42×C73C2411yescharacteristic
709C23×C73—21no—
710C23×C73—21no—
711C23×C73C22×D411yescharacteristic
712C23×C73C22×D411yescharacteristic
713C22×D73—21no—
714C22×D73—21no—
715C22×D73—21no—
716C22×D73—42no—
717C22×D73—42no—
718C22×D73—81no—
719C22×D73—81no—
720C22×D73—81no—
721C22×D73—81no—
722C22×D73C22×D411yescharacteristic
723Q8×C73—21no—
724Q8×C73—21no—
725Q8×C73—21no—
726Q8×C73—21no—
727D4×C73—21no—
728D4×C73—21no—
729D4×C73—21no—
730D4×C73—21no—
731D4×C73—41no—
732D4×C73—42no—
733D4×C73—81no—
734D4×C73—81no—
735D4×C73—81no—
736D4×C73—81no—
737D4×C73—81no—
738C2×C4×C73—21no—
739C2×C4×C73—21no—
740C2×C4×C73—21no—
741C2×C4×C73—21no—
742C2×C4×C73—21no—
743C2×C4×C73—21no—
744C2×C4×C73—21no—
745C2×C4×C73—21no—
746C2×C4×C73—21no—
747C2×C4×C73—21no—
748C2×C4×C73—42no—
749C2×C4×C73—81no—
750C2×C4×C73—81no—
751C2×C4×C73C22×D411yescharacteristic
752C2×C4×C73C22×D411yescharacteristic
753C2×C4×C73C22×D411yescharacteristic
754C2×C4×C73C22×D411yescharacteristic
755C2×C4×C73C2511yescharacteristic
756C22⋊D73—22no—
757C22⋊D73—22no—
758C22⋊D73—42no—
759C22⋊D73—42no—
760C22⋊D73—42no—
761C22⋊D73—42no—
762C22⋊D73—42no—
763C22⋊D73—42no—
764C22⋊D73—81no—
765C22⋊D73—81no—
766C22⋊D73—81no—
767C22⋊D73—81no—
768C22⋊D73—81no—
769C22⋊D73—81no—
770C2×Dic73—21no—
771C2×Dic73—22no—
772C2×Dic73—22no—
773C2×Dic73—21no—
774C2×Dic73—21no—
775C2×Dic73—21no—
776C2×Dic73—21no—
777C2×Dic73—41no—
778C2×Dic73—41no—
779C2×Dic73—42no—
780C2×Dic73—81no—
781C2×Dic73—81no—
782C2×Dic73C22×D411yescharacteristic
783C2×Dic73C22×D411yescharacteristic
784C2×Dic73C22×D411yescharacteristic
785C2×Dic73C22×D411yescharacteristic
786C2×Dic73C22×D411yescharacteristic
787C2×Dic73C22×D411yescharacteristic
788C2×Dic73C22×D411yescharacteristic
789D292—21no—
790D292—21no—
791D292—21no—
792D292—21no—
793D292—21no—
794D292—21no—
795D292—42no—
796D292—42no—
797D292—81no—
798C4×D73—22no—
799C4×D73—21no—
800C4×D73—21no—
801C4×D73—22no—
802C4×D73—42no—
803C4×D73—42no—
804C4×D73—42no—
805C4×D73—42no—
806C4×D73—42no—
807C4×D73—81no—
808C4×D73—81no—
809C4×D73—81no—
810C4×D73—81no—
811Dic146—21no—
812Dic146—21no—
813Dic146—21no—
814Dic146—21no—
815Dic146—21no—
816Dic146—41no—
817Dic146—42no—
818Dic146—42no—
819Dic146—42no—
820Dic146—42no—
821Dic146H(5,𝔽2)12yes—
822C8×C73—21no—
823C8×C73—21no—
824C8×C73—21no—
825C8×C73—21no—
826#10596831—21no—
827#10596831—21no—
828#10596831—21no—
829#10596831—21no—
830C22×C73—21no—
831C22×C73—21no—
832C22×C73—21no—
833C22×C73—21no—
834C22×C73—21no—
835C22×C73—21no—
836C22×C73—41no—
837C22×C73—41no—
838C22×C73—41no—
839C22×C73—41no—
840C22×C73—41no—
841C22×C73—41no—
842C22×C73C23×D411yescharacteristic
843C2×D73—21no—
844C2×D73—21no—
845C2×D73—41no—
846C2×D73—41no—
847C2×D73—41no—
848C2×D73—41no—
849C2×D73—41no—
850C2×D73—41no—
851C2×D73—41no—
852C2×D73—41no—
853C2×D73—41no—
854C2×D73—162no—
855C2×D73—162no—
856C2×D73#57512yes—
857C4×C73—21no—
858C4×C73—21no—
859C4×C73—21no—
860C4×C73—21no—
861C4×C73—41no—
862C4×C73—41no—
863C4×C73—41no—
864C4×C73—41no—
865C4×C73—41no—
866C4×C73—41no—
867C4×C73C2×H(5,𝔽2)11yescharacteristic
868C4×C73#58511yescharacteristic
869Dic73—22no—
870Dic73—21no—
871Dic73—21no—
872Dic73—21no—
873Dic73—21no—
874Dic73—21no—
875Dic73—21no—
876Dic73—41no—
877Dic73—41no—
878Dic73—41no—
879Dic73—41no—
880Dic73#57712yes—
881#61981—731nomaximal, Sylow
882C2×C73—41no—
883C2×C73—41no—
884C2×C73—81no—
885C2×C73—81no—
886C2×C73#348811yescharacteristic
887C2×C73C2×#57511yescharacteristic
888C2×C73C2×#57711yescharacteristic
889D73—22no—
890D73—81no—
891D73—81no—
892D73—81no—
893#3508—731no—
894#3482—731no—
895#3401—731no—
896#3401—731no—
897#3371—731no—
898#3371—731no—
899#3317—731no—
900#3317D7311yescharacteristic, complemented
901#3306—731no—
902#3306—731no—
903#3296—731no—
904#3296—731no—
905#3282—731no—
906#3282—731no—
907#3271—731no—
908#3271—731no—
909#3266—731no—
910#3266—731no—
911#3251—731no—
912#3248—731no—
913#3246—731no—
914#3217—731no—
915#3216—731no—
916#3212—731no—
917#3115—731no—
918#3113—731no—
919#3103—731no—
920#3037—731no—
921#3035—731no—
922C2×#460—731no—
923#2990—731no—
924C73#6198111yescharacteristic, complemented, Sylow
925C2×#137—731no—
926C2×#137—731no—
927C2×#135—731no—
928C2×#135—731no—
929C22×SD16—731no—
930C22×SD16—731no—
931#559—731no—
932#559—731no—
933#559—1461no—
934#557—731no—
935#556—731no—
936#556—1461no—
937#552—731no—
938#552—1461no—
939#552—1461no—
940#552C2×D7311yescharacteristic, complemented
941#550—731no—
942#550—1461no—
943#550C2×D7311yescharacteristic
944D4×Q8—731no—
945#548—731no—
946#548—731no—
947#547—731no—
948#547—1461no—
949#546—731no—
950#546—731no—
951#546—731no—
952#546—731no—
953#546—1461no—
954#546—1461no—
955#540—1461no—
956#540—1461no—
957#535—1461no—
958#533—731no—
959#533—731no—
960#533—1461no—
961#532—731no—
962#532—731no—
963#532—731no—
964#532—731no—
965C2×#127—731no—
966#529—731no—
967#529—731no—
968#529—1461no—
969#529—1461no—
970#518—1461no—
971C4×#41—731no—
972C4×#41—731no—
973C4×#41—1461no—
974C2×C4×Q8—731no—
975C2×C4×Q8—731no—
976#497—731no—
977#497—731no—
978#496—731no—
979#496—731no—
980#495—731no—
981#495—731no—
982#490—731no—
983#490C2×D7311yescharacteristic
984#489—731no—
985#489—731no—
986#488—731no—
987#488—731no—
988#483—731no—
989#483—731no—
990#482—731no—
991#482C2×D7311yescharacteristic, complemented
992#481—731no—
993#481C2×D7311yescharacteristic, complemented
994#479—731no—
995#479C2×D7311yescharacteristic, complemented
996#478—731no—
997#478—731no—
998#476—731no—
999#476—731no—
1000#475—731no—
1001#475—731no—
1002#475—731no—
1003#474—731no—
1004#469—731no—
1005#469—731no—
1006#468—731no—
1007#468C2×D7311yescharacteristic, complemented
1008#467—731no—
1009#467—731no—
1010#465—731no—
1011#465—731no—
1012#465—731no—
1013#465—731no—
1014#465—731no—
1015#465C2×D7311yescharacteristic, complemented
1016#464—731no—
1017#464—731no—
1018#464—731no—
1019#464—731no—
1020#464—731no—
1021#464—731no—
1022#464—731no—
1023#464—731no—
1024#463—731no—
1025#463—731no—
1026#463—731no—
1027#463—731no—
1028#462—731no—
1029#462—731no—
1030#462—731no—
1031#461—731no—
1032#461—731no—
1033#461—731no—
1034#460—731no—
1035#460—731no—
1036#460—731no—
1037#460—731no—
1038#460—731no—
1039#460—731no—
1040#460—731no—
1041#460—731no—
1042#460—731no—
1043#460C2×D7311yescharacteristic
1044#459—731no—
1045#459—731no—
1046#452—731no—
1047#452—731no—
1048#452—731no—
1049#452—731no—
1050#452C2×D7311yescharacteristic, complemented
1051#452C2×D7311yescharacteristic, complemented
1052#451—731no—
1053#451—731no—
1054#450—731no—
1055#450—731no—
1056#449—731no—
1057#449—731no—
1058#449—731no—
1059#449—731no—
1060#448—731no—
1061#448—731no—
1062#447—731no—
1063#447—731no—
1064#446—731no—
1065#446—731no—
1066#442—731no—
1067#442—731no—
1068#441—731no—
1069#441—731no—
1070#441—731no—
1071#441C2×D7311yescharacteristic, complemented
1072#440—731no—
1073#440—731no—
1074C4×SD16—731no—
1075C4×SD16—731no—
1076C4×SD16—731no—
1077C4×SD16—731no—
1078#435—731no—
1079#435—731no—
1080#435—731no—
1081#435C2×D7311yescharacteristic, complemented
1082C8×D4—731no—
1083C8×D4—731no—
1084#432—731no—
1085#432—731no—
1086#431—731no—
1087#423—731no—
1088C2×C4⋊C8—731no—
1089C2×C4⋊C8—731no—
1090#417—731no—
1091#417C2×D7311yescharacteristic, complemented
1092#416—731no—
1093#416C2×D7311yescharacteristic, complemented
1094C2×#102—731no—
1095C2×#102—731no—
1096C2×#41—731no—
1097C2×#41—731no—
1098C2×#41—731no—
1099C2×#41—731no—
1100C2×#41—1461no—
1101C2×#41—1461no—
1102C2×#41—1461no—
1103C2×#41C22×D7311yescharacteristic
1104C2×#41C22×D7311yescharacteristic
1105C22×Q8—731no—
1106C22×Q8—731no—
1107C22×D4—731no—
1108C22×D4—731no—
1109C22×D4—1461no—
1110C22×D4—1461no—
1111#137—2922no—
1112#137—2922no—
1113#135—2922no—
1114#135—2922no—
1115C2×Q16—731no—
1116C2×Q16—731no—
1117C2×Q16—731no—
1118C2×Q16—731no—
1119C2×Q16—731no—
1120C2×Q16C22×D7311yescharacteristic
1121C2×SD16—2922no—
1122C2×SD16—2922no—
1123C2×SD16—731no—
1124C2×SD16—731no—
1125C2×SD16—731no—
1126C2×SD16—731no—
1127C2×SD16—731no—
1128C2×SD16—731no—
1129C2×SD16—731no—
1130C2×SD16—731no—
1131C2×SD16—731no—
1132C2×SD16—731no—
1133C2×SD16—731no—
1134C2×SD16—731no—
1135C2×SD16C22×D7311yescharacteristic
1136C2×SD16C22×D7311yescharacteristic
1137C2×D8—731no—
1138C2×D8—731no—
1139C2×D8—731no—
1140C2×D8—731no—
1141C2×M16—731no—
1142C2×M16C22×D7311yescharacteristic
1143C22×C8—731no—
1144C22×C8—731no—
1145C22×C8—731no—
1146C22×C8C22×D7311yescharacteristic
1147C4⋊Q8—731no—
1148C4⋊Q8—731no—
1149C4⋊Q8—731no—
1150C4⋊Q8—731no—
1151C4⋊Q8—1461no—
1152C4⋊Q8—1461no—
1153#127—21no—
1154#127—731no—
1155#127—731no—
1156#127—731no—
1157#127—1461no—
1158#127—1461no—
1159#127—1461no—
1160#127C22×D7311yescharacteristic
1161#126—21no—
1162#126—1461no—
1163#126—1461no—
1164#126—1461no—
1165#126—1461no—
1166#126—1461no—
1167#125—21no—
1168#125—731no—
1169#125—1461no—
1170#125—1461no—
1171#125—1461no—
1172#125—1461no—
1173#125—1461no—
1174#125C22×D7311yescharacteristic
1175#124—731no—
1176#124—731no—
1177#124—731no—
1178#124—731no—
1179#124—731no—
1180#124—731no—
1181#124—1461no—
1182#124—1461no—
1183#124—1461no—
1184#124—1461no—
1185#124—1461no—
1186#124—1461no—
1187#123—21no—
1188#123—1461no—
1189#123—1461no—
1190#123—1461no—
1191#123—1461no—
1192#123—1461no—
1193#123—1461no—
1194#123—1461no—
1195#123—1461no—
1196#123—1461no—
1197#123—1461no—
1198#123—1461no—
1199#123—1461no—
1200#123—1461no—
1201C22⋊Q8—731no—
1202C22⋊Q8—731no—
1203C22⋊Q8—731no—
1204C22⋊Q8—731no—
1205C22⋊Q8—1461no—
1206C22⋊Q8—1461no—
1207C22⋊Q8—1461no—
1208C22⋊Q8—1461no—
1209C22⋊Q8—1461no—
1210C22⋊Q8—1461no—
1211C22⋊Q8—1461no—
1212C22⋊Q8—1461no—
1213C22⋊Q8C22×D7311yescharacteristic
1214C22⋊Q8C22×D7311yescharacteristic
1215#121—21no—
1216#121—21no—
1217#121—731no—
1218#121—731no—
1219#121—731no—
1220#121—731no—
1221#121—1461no—
1222#121—1461no—
1223#121—1461no—
1224#121—1461no—
1225#121—1461no—
1226#121—1461no—
1227#121—1461no—
1228#121—1461no—
1229#121—1461no—
1230#121—1461no—
1231#121—1461no—
1232#121—1461no—
1233#121—1461no—
1234#121—1461no—
1235#121C22×D7311yescharacteristic
1236#121C22×D7311yescharacteristic
1237#120—1461no—
1238#120—1461no—
1239#120—1461no—
1240#120—1461no—
1241C4×Q8—731no—
1242C4×Q8—731no—
1243C4×Q8—731no—
1244C4×Q8—731no—
1245C4×Q8—731no—
1246C4×Q8—731no—
1247C4×Q8—731no—
1248C4×Q8—731no—
1249C4×Q8—731no—
1250C4×Q8—731no—
1251C4×Q8—1461no—
1252C4×Q8—1461no—
1253C4×Q8—1461no—
1254C4×Q8—1461no—
1255C4×Q8—1461no—
1256C4×Q8—1461no—
1257C4×Q8—1461no—
1258C4×Q8C22×D7311yescharacteristic
1259C4×Q8C22×D7311yescharacteristic
1260C4×D4—21no—
1261C4×D4—731no—
1262C4×D4—731no—
1263C4×D4—731no—
1264C4×D4—731no—
1265C4×D4—731no—
1266C4×D4—731no—
1267C4×D4—731no—
1268C4×D4—731no—
1269C4×D4—731no—
1270C4×D4—731no—
1271C4×D4—731no—
1272C4×D4—1461no—
1273C4×D4—1461no—
1274C4×D4—1461no—
1275C4×D4—1461no—
1276C4×D4—1461no—
1277C4×D4—1461no—
1278C4×D4—1461no—
1279C4×D4—1461no—
1280C4×D4—1461no—
1281C4×D4—1461no—
1282C4×D4—1461no—
1283C4×D4—1461no—
1284C4×D4—1461no—
1285C4×D4—1461no—
1286C4×D4—1461no—
1287C4×D4—1461no—
1288C4×D4C22×D7311yescharacteristic
1289#117—21no—
1290#117—731no—
1291#117—731no—
1292#117—731no—
1293#117—1461no—
1294#117—1461no—
1295#117—1461no—
1296#117—1461no—
1297#117—1461no—
1298#117—1461no—
1299#117—1461no—
1300#117C22×D7311yescharacteristic
1301C2×C4⋊C4—731no—
1302C2×C4⋊C4—1461no—
1303C2×C4⋊C4—1461no—
1304C2×C4⋊C4C22×D7311yescharacteristic
1305C2×C22⋊C4—1461no—
1306C2×C22⋊C4—1461no—
1307C2×C22⋊C4—1461no—
1308C2×C22⋊C4—1461no—
1309C2×C42—731no—
1310C2×C42—731no—
1311C2×C42—731no—
1312C2×C42—1461no—
1313C2×C42—1461no—
1314C2×C42—1461no—
1315#107—731no—
1316#107C22×D7311yescharacteristic
1317#106—731no—
1318#106—731no—
1319#106—731no—
1320#106—731no—
1321#106C22×D7311yescharacteristic
1322#106C22×D7311yescharacteristic
1323C4⋊C8—731no—
1324C4⋊C8—731no—
1325C4⋊C8—731no—
1326C4⋊C8—731no—
1327C4⋊C8—731no—
1328C4⋊C8—731no—
1329C4⋊C8—731no—
1330C4⋊C8—731no—
1331C4⋊C8—731no—
1332C4⋊C8C22×D7311yescharacteristic
1333#103—731no—
1334#103—731no—
1335#103—731no—
1336#103—731no—
1337#103—731no—
1338#103—731no—
1339#103—731no—
1340#103—731no—
1341#103—731no—
1342#103—731no—
1343#103C22×D7311yescharacteristic
1344#103C22×D7311yescharacteristic
1345#103C22×D7311yescharacteristic
1346#103C22×D7311yescharacteristic
1347#102—731no—
1348#102—731no—
1349#102—731no—
1350#102—731no—
1351#102—731no—
1352#102—731no—
1353#102—731no—
1354#102—731no—
1355#102—731no—
1356#102—731no—
1357#102—731no—
1358#102—731no—
1359#102C22×D7311yescharacteristic
1360#102C22×D7311yescharacteristic
1361#102C22×D7311yescharacteristic
1362#102C22×D7311yescharacteristic
1363#102C22×D7311yescharacteristic
1364#102C22×D7311yescharacteristic
1365C22⋊C8—731no—
1366C22⋊C8—731no—
1367C22⋊C8—731no—
1368C22⋊C8—731no—
1369C22⋊C8C22×D7311yescharacteristic
1370C22⋊C8C22×D7311yescharacteristic
1371#97—731no—
1372#97—731no—
1373#97—731no—
1374#97C22×D7311yescharacteristic
1375C4×C8—731no—
1376C4×C8—731no—
1377C24—1461no—
1378C24—1461no—
1379#41—41no—
1380#41—41no—
1381#41—41no—
1382#41—41no—
1383#41—2921no—
1384#41—2921no—
1385#41—2921no—
1386#41—2921no—
1387#41—2921no—
1388#41—2924no—
1389#41—2922no—
1390#41—5842no—
1391#41—5842no—
1392#41—1462no—
1393C2×Q8—2921no—
1394C2×Q8—2921no—
1395C2×Q8—731no—
1396C2×Q8—731no—
1397C2×Q8—731no—
1398C2×Q8—731no—
1399C2×Q8—1462no—
1400C2×Q8—1461no—
1401C2×Q8—1461no—
1402C2×Q8—1461no—
1403C2×Q8—1462no—
1404C2×Q8—1461no—
1405C2×Q8C23×D7311yescharacteristic
1406C2×Q8C23×D7311yescharacteristic
1407C2×D4—21no—
1408C2×D4—21no—
1409C2×D4—21no—
1410C2×D4—21no—
1411C2×D4—21no—
1412C2×D4—21no—
1413C2×D4—2921no—
1414C2×D4—2921no—
1415C2×D4—2921no—
1416C2×D4—2921no—
1417C2×D4—2924no—
1418C2×D4—5842no—
1419C2×D4—731no—
1420C2×D4—731no—
1421C2×D4—731no—
1422C2×D4—731no—
1423C2×D4—731no—
1424C2×D4—1461no—
1425C2×D4—1461no—
1426C2×D4—1461no—
1427C2×D4—1461no—
1428C2×D4—1461no—
1429C2×D4—1461no—
1430C2×D4—1461no—
1431C2×D4—1461no—
1432C2×D4—1461no—
1433C2×D4—1461no—
1434C2×D4—1461no—
1435C2×D4—1461no—
1436C2×D4—1461no—
1437C2×D4—1461no—
1438C2×D4—1461no—
1439C2×D4D4×D7311yescharacteristic
1440C2×D4C23×D7311yescharacteristic
1441C2×D4C23×D7311yescharacteristic
1442C22×C4—21no—
1443C22×C4—21no—
1444C22×C4—21no—
1445C22×C4—731no—
1446C22×C4—731no—
1447C22×C4—731no—
1448C22×C4—731no—
1449C22×C4—731no—
1450C22×C4—731no—
1451C22×C4—731no—
1452C22×C4—1461no—
1453C22×C4—1461no—
1454C22×C4—1461no—
1455C22×C4—1461no—
1456C22×C4—1461no—
1457C22×C4—1461no—
1458C22×C4—1461no—
1459C22×C4—1461no—
1460C22×C4—1461no—
1461C22×C4—1461no—
1462C22×C4—1461no—
1463C22×C4—1461no—
1464C22×C4C23×D7311yescharacteristic
1465C22×C4C23×D7311yescharacteristic
1466Q16—41no—
1467Q16—2921no—
1468Q16—2921no—
1469Q16—2921no—
1470Q16—1462no—
1471Q16—1462no—
1472SD16—41no—
1473SD16—41no—
1474SD16—2921no—
1475SD16—2921no—
1476SD16—2921no—
1477SD16—2921no—
1478SD16—2921no—
1479SD16—2921no—
1480SD16—2921no—
1481SD16—2921no—
1482SD16—1462no—
1483SD16—1462no—
1484SD16—1462no—
1485SD16—1462no—
1486D8—2921no—
1487D8—2921no—
1488D8—2921no—
1489D8—2921no—
1490M16—41no—
1491M16—2921no—
1492C2×C8—41no—
1493C2×C8—2921no—
1494C2×C8—2921no—
1495C2×C8—2921no—
1496C2×C8—731no—
1497C2×C8—731no—
1498C2×C8—731no—
1499C2×C8—731no—
1500C2×C8C23×D7311yescharacteristic
1501C2×C8C23×D7311yescharacteristic
1502C2×C8C23×D7311yescharacteristic
1503C2×C8C23×D7311yescharacteristic
1504C4⋊C4—21no—
1505C4⋊C4—21no—
1506C4⋊C4—21no—
1507C4⋊C4—21no—
1508C4⋊C4—21no—
1509C4⋊C4—21no—
1510C4⋊C4—21no—
1511C4⋊C4—731no—
1512C4⋊C4—731no—
1513C4⋊C4—731no—
1514C4⋊C4—731no—
1515C4⋊C4—731no—
1516C4⋊C4—731no—
1517C4⋊C4—731no—
1518C4⋊C4—1461no—
1519C4⋊C4—1461no—
1520C4⋊C4—1461no—
1521C4⋊C4—1461no—
1522C4⋊C4—1461no—
1523C4⋊C4—1461no—
1524C4⋊C4—1461no—
1525C4⋊C4—1461no—
1526C4⋊C4—1461no—
1527C4⋊C4—1461no—
1528C4⋊C4—1461no—
1529C4⋊C4—1461no—
1530C4⋊C4—1461no—
1531C4⋊C4—1461no—
1532C4⋊C4—1461no—
1533C4⋊C4—1461no—
1534C4⋊C4—1461no—
1535C4⋊C4—1461no—
1536C4⋊C4—1461no—
1537C4⋊C4—1461no—
1538C4⋊C4—1461no—
1539C4⋊C4D4×D7311yescharacteristic
1540C4⋊C4C23×D7311yescharacteristic
1541C4⋊C4C23×D7311yescharacteristic
1542C4⋊C4C23×D7311yescharacteristic
1543C4⋊C4C23×D7311yescharacteristic
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4—21no—
1548C22⋊C4—21no—
1549C22⋊C4—731no—
1550C22⋊C4—731no—
1551C22⋊C4—731no—
1552C22⋊C4—731no—
1553C22⋊C4—1461no—
1554C22⋊C4—1461no—
1555C22⋊C4—1461no—
1556C22⋊C4—1461no—
1557C22⋊C4—1461no—
1558C22⋊C4—1461no—
1559C22⋊C4—1461no—
1560C22⋊C4—1461no—
1561C22⋊C4—1461no—
1562C22⋊C4—1461no—
1563C22⋊C4—1461no—
1564C22⋊C4—1461no—
1565C22⋊C4—1461no—
1566C22⋊C4—1461no—
1567C22⋊C4—1461no—
1568C22⋊C4—1461no—
1569C22⋊C4—1461no—
1570C22⋊C4—1461no—
1571C22⋊C4—1461no—
1572C22⋊C4—1461no—
1573C22⋊C4—1461no—
1574C22⋊C4—1461no—
1575C22⋊C4—1461no—
1576C22⋊C4—1461no—
1577C22⋊C4—1461no—
1578C22⋊C4—1461no—
1579C22⋊C4D4×D7311yescharacteristic
1580C22⋊C4D4×D7311yescharacteristic
1581C42—21no—
1582C42—21no—
1583C42—21no—
1584C42—731no—
1585C42—731no—
1586C42—731no—
1587C42—731no—
1588C42—731no—
1589C42—731no—
1590C42—731no—
1591C42—731no—
1592C42—731no—
1593C42—1461no—
1594C42—1461no—
1595C42—1461no—
1596C42—1461no—
1597C42—1461no—
1598C42—1461no—
1599C42—1461no—
1600C42—1461no—
1601C42C23×D7311yescharacteristic
1602C23—21no—
1603C23—21no—
1604C23—2922no—
1605C23—2922no—
1606C23—5841no—
1607C23—5841no—
1608C23—5841no—
1609C23—5841no—
1610C23—731no—
1611C23—1461no—
1612C23—1461no—
1613C23—1461no—
1614C23C2×D4×D7311yescharacteristic
1615C23C2×D4×D7311yescharacteristic
1616Q8—21no—
1617Q8—21no—
1618Q8—21no—
1619Q8—21no—
1620Q8—2922no—
1621Q8—2921no—
1622Q8—2922no—
1623Q8—2922no—
1624Q8—2922no—
1625Q8—732no—
1626Q8—1461no—
1627Q8—1461no—
1628Q8—1461no—
1629Q8—1461no—
1630Q8—1461no—
1631D4—21no—
1632D4—21no—
1633D4—21no—
1634D4—21no—
1635D4—41no—
1636D4—42no—
1637D4—81no—
1638D4—81no—
1639D4—81no—
1640D4—81no—
1641D4—81no—
1642D4—2922no—
1643D4—2922no—
1644D4—2922no—
1645D4—2922no—
1646D4—2922no—
1647D4—2922no—
1648D4—2922no—
1649D4—2922no—
1650D4—5841no—
1651D4—5841no—
1652D4—5841no—
1653D4—5841no—
1654D4—5841no—
1655D4—5841no—
1656D4—5841no—
1657D4—1462no—
1658D4—1462no—
1659D4—1461no—
1660D4—1461no—
1661D4—1461no—
1662D4—1461no—
1663D4—1461no—
1664D4—1461no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—42no—
1676C2×C4—81no—
1677C2×C4—81no—
1678C2×C4—2922no—
1679C2×C4—2922no—
1680C2×C4—2922no—
1681C2×C4—2922no—
1682C2×C4—2922no—
1683C2×C4—2922no—
1684C2×C4—2921no—
1685C2×C4—2921no—
1686C2×C4—5841no—
1687C2×C4—5841no—
1688C2×C4—5841no—
1689C2×C4—5841no—
1690C2×C4—5841no—
1691C2×C4—5841no—
1692C2×C4—731no—
1693C2×C4—731no—
1694C2×C4—731no—
1695C2×C4—731no—
1696C2×C4—731no—
1697C2×C4—731no—
1698C2×C4—731no—
1699C2×C4—1462no—
1700C2×C4—1462no—
1701C2×C4—1461no—
1702C2×C4—1461no—
1703C2×C4—1461no—
1704C2×C4—1461no—
1705C2×C4—1462no—
1706C2×C4—1462no—
1707C2×C4—1461no—
1708C2×C4—1461no—
1709C2×C4—1461no—
1710C2×C4C2×D4×D7311yescharacteristic
1711C2×C4C2×D4×D7311yescharacteristic
1712C2×C4C2×D4×D7311yescharacteristic
1713C2×C4C2×D4×D7311yescharacteristic
1714C2×C4C24×D7311yescharacteristic
1715C8—21no—
1716C8—21no—
1717C8—21no—
1718C8—21no—
1719C8—1461no—
1720C8—1461no—
1721C8—1461no—
1722C8—1461no—
1723C22—21no—
1724C22—21no—
1725C22—21no—
1726C22—21no—
1727C22—21no—
1728C22—21no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—2921no—
1736C22—2921no—
1737C22—2921no—
1738C22—2921no—
1739C22—2921no—
1740C22—2921no—
1741C22—2921no—
1742C22—2921no—
1743C22—2921no—
1744C22—732no—
1745C22—11682no—
1746C22—11682no—
1747C22—1461no—
1748C22—1461no—
1749C22C22×D4×D7311yescharacteristic
1750C4—21no—
1751C4—21no—
1752C4—21no—
1753C4—21no—
1754C4—41no—
1755C4—41no—
1756C4—41no—
1757C4—41no—
1758C4—41no—
1759C4—41no—
1760C4—2921no—
1761C4—2921no—
1762C4—2921no—
1763C4—2921no—
1764C4—732no—
1765C4—1462no—
1766C4—1461no—
1767C4—1461no—
1768C4—1461no—
1769C4—1461no—
1770C4—1461no—
1771C4—1461no—
1772C4H(5,𝔽2)×D7311yescharacteristic
1773C4#1798942311yescharacteristic
1774C2—41no—
1775C2—41no—
1776C2—81no—
1777C2—81no—
1778C2—5841no—
1779C2—5841no—
1780C2—5841no—
1781C2—1462no—
1782C2#2262359411yescharacteristic
1783C2#575×D7311yescharacteristic
1784C2#577×D7311yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3317C2
socleC22×C73C23×D4
hypercenter#3317D73
hypocenterC73#61981
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3317

Complements

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

NH ≅ G/Ntype
1. #22623801C2semidirect
2. #22623545C2semidirect
3. #22622998C2semidirect
4. #22622990C2semidirect
5. #22622702C2semidirect
6. #22622694C2semidirect
7. #22622051C2semidirect
8. #22621895C2semidirect
9. #22621893C2semidirect
10. #22621769C2semidirect
11. #22621767C2semidirect
12. #22621645C2semidirect
13. #22621636C2semidirect
14. #22621521C2semidirect
15. #22621512C2semidirect
16. #22621448C2semidirect
17. #22621439C2semidirect
18. #22621288C2semidirect
19. #22621267C2semidirect
20. #22621242C2semidirect
21. #22620950C2semidirect
22. #22620939C2semidirect
23. #22620910C2semidirect
24. #22620077C2semidirect
25. #22620059C2semidirect
26. #22619959C2semidirect
27. #22619402C2semidirect
28. #22619384C2semidirect
29. #460×D73C2semidirect
30. #22619051C2semidirect
31. C73×#3317C2semidirect
32. C2×#14556624C22semidirect
33. C2×#14556621C22semidirect
34. C2×#14556613C22semidirect
35. C2×#14556611C22semidirect
41. #17989314C22semidirect
42. #17989309C22semidirect
51. #17989246C22semidirect
65. #17989139C22semidirect
71. #17989123C22semidirect
77. #17989055C22semidirect
79. C2×#14556556C22semidirect
81. #17988980C22semidirect
82. #17988978C22semidirect
85. #17988972C22semidirect
86. #17988968C22semidirect
88. #17988948C22semidirect
89. #17988945C22semidirect
90. #17988943C22semidirect
91. #17988940C22semidirect
94. #17988911C22semidirect
95. #17988905C22semidirect
96. #17988891C22semidirect
97. #17988890C22semidirect
98. #17988889C22semidirect
99. #17988876C22semidirect
100. #17988875C22semidirect
101. #17988871C22semidirect
102. #17988871C22semidirect
103. #17988870C22semidirect
104. #17988866C22semidirect
105. #17988840C22semidirect
106. #17988838C22semidirect
107. #17988835C22semidirect
111. #17988818C22semidirect
113. #17988816C22semidirect
114. #17988814C22semidirect
115. #17988812C22semidirect
116. #17988812C22semidirect
117. #17988812C22semidirect
118. #17988810C22semidirect
119. #17988809C22semidirect
120. #17988808C22semidirect
121. #17988808C22semidirect
122. #17988808C22semidirect
123. #17988805C22semidirect
124. #17988805C22semidirect
125. #17988804C22semidirect
126. #17988801C22semidirect
127. #17988796C22semidirect
128. #17988796C22semidirect
129. #17988795C22semidirect
130. #17988791C22semidirect
131. #17988791C22semidirect
132. #17988790C22semidirect
144. #17988751C22semidirect
145. #17988749C22semidirect
146. #17988747C22semidirect
147. #17988747C22semidirect
152. #17988734C22semidirect
153. #17988734C22semidirect
154. #17988732C22semidirect
155. #17988730C22semidirect
156. #17988728C22semidirect
157. #17988725C22semidirect
160. #17988716C22semidirect
161. #17988715C22semidirect
162. #17988698C22semidirect
163. #17988696C22semidirect
164. #17988695C22semidirect
165. #17988692C22semidirect
166. #17988692C22semidirect
167. #17988686C22semidirect
168. #17988684C22semidirect
169. #17988678C22semidirect
170. #17988678C22semidirect
171. #17988674C22semidirect
172. #17988674C22semidirect
174. #17988659C22semidirect
179. #17988641C22semidirect
180. #17988637C22semidirect
181. #17988610C22semidirect
182. C2×#14556520C22semidirect
184. #17988586C22semidirect
185. #17988581C22semidirect
188. #552×C73C22semidirect
191. #482×C73C22semidirect
192. #481×C73C22semidirect
193. #479×C73C22semidirect
194. #468×C73C22semidirect
195. #465×C73C22semidirect
197. #452×C73C22semidirect
198. #452×C73C22semidirect
199. #441×C73C22semidirect
200. #435×C73C22semidirect
201. #417×C73C22semidirect
202. #416×C73C22semidirect
900. #3317D73semidirect
924. C73#61981semidirect
940. #552C2×D73semidirect
991. #482C2×D73semidirect
993. #481C2×D73semidirect
995. #479C2×D73semidirect
1007. #468C2×D73semidirect
1015. #465C2×D73semidirect
1050. #452C2×D73semidirect
1051. #452C2×D73semidirect
1071. #441C2×D73semidirect
1081. #435C2×D73semidirect
1091. #417C2×D73semidirect
1093. #416C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226238012
#226235452
#226229982
#226229902
#226227022
#226226942
#226220512
#226218952
#226218932
#226217692
#226217672
#226216452
#226216362
#226215212
#226215122
#226214482
#226214392
#226212882
#226212672
#226212422
#226209502
#226209392
#226209102
#226200772
#226200592
#226199592
#226194022
#226193842
#460×D732
#226190512
C73×#33172
#6198173