Finite Group Databasebeta

← #33978343

Subgroups — #33978343

Order 18688.

2114 conjugacy classes of subgroups.

The subgroup lattice has 1842 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623837C211yesmaximal, characteristic, complemented
2#22623418C211yesmaximal, characteristic, complemented
3#22622954C211yesmaximal, characteristic, complemented
4#22622952C211yesmaximal, characteristic, complemented
5#22622652C211yesmaximal, characteristic, complemented
6#22622646C211yesmaximal, characteristic, complemented
7#22622234C211yesmaximal, characteristic, complemented
8#22622232C211yesmaximal, characteristic, complemented
9#22621920C211yesmaximal, characteristic, complemented
10#22621918C211yesmaximal, characteristic, complemented
11#22621916C211yesmaximal, characteristic, complemented
12#22621528C211yesmaximal, characteristic, complemented
13#22621524C211yesmaximal, characteristic, complemented
14#22621431C211yesmaximal, characteristic, complemented
15#22621427C211yesmaximal, characteristic, complemented
16#22621423C211yesmaximal, characteristic, complemented
17#22621419C211yesmaximal, characteristic, complemented
18#22621317C211yesmaximal, characteristic, complemented
19#22621313C211yesmaximal, characteristic, complemented
20#22621237C211yesmaximal, characteristic, complemented
21#22620927C211yesmaximal, characteristic, complemented
22#22620923C211yesmaximal, characteristic, complemented
23#22620854C211yesmaximal, characteristic, complemented
24#22620028C211yesmaximal, characteristic, complemented
25#22620027C211yesmaximal, characteristic, complemented
26#22619928C211yesmaximal, characteristic, complemented
27#22619394C211yesmaximal, characteristic, complemented
28#22619393C211yesmaximal, characteristic, complemented
29C2×#17988791C211yesmaximal, characteristic, complemented
30#22619043C211yesmaximal, characteristic, complemented
31C73×#3308C211yesmaximal, characteristic, complemented
32C2×#41×D73—21no—
33C2×#14556619C2211yescharacteristic
34C2×#14556618C2211yescharacteristic
35C2×#14556616C2211yescharacteristic
36C2×#14556615C2211yescharacteristic
37C22×#11924017C2211yescharacteristic
38C22×#11924015C2211yescharacteristic
39#17989309C2211yescharacteristic, complemented
40#17989306C2211yescharacteristic, complemented
41#17989299—21no—
42#17989291—21no—
43#17989286—21no—
44#17989280—21no—
45#17989258C2211yescharacteristic
46#17989252C2211yescharacteristic
47#17989248C2211yescharacteristic, complemented
48#17989247—21no—
49#17989246C2211yescharacteristic, complemented
50#17989243C2211yescharacteristic, complemented
51#17989239C2211yescharacteristic, complemented
52#17989238C2211yescharacteristic
53#17989238C2211yescharacteristic
54#17989236C2211yescharacteristic, complemented
55#17989229—21no—
56#17989229—21no—
57#17989225—21no—
58D4×D292C2211yescharacteristic
59#17989221C2211yescharacteristic
60#17989221C2211yescharacteristic
61#17989207—21no—
62#17989201—21no—
63#17989164—21no—
64#17989141C2211yescharacteristic, complemented
65#17989139C2211yescharacteristic, complemented
66#17989138C2211yescharacteristic
67#17989136C2211yescharacteristic, complemented
68#17989133C2211yescharacteristic, complemented
69#17989132C2211yescharacteristic
70#17989132C2211yescharacteristic
71#17989132C2211yescharacteristic, complemented
72C2×#14556589C2211yescharacteristic, complemented
73#17989100—21no—
74#17989095—21no—
75#17989095—21no—
76#17989066—21no—
77C4×#11924027C2211yescharacteristic
78C2×#14556553C2211yescharacteristic
79C2×#14556553C2211yescharacteristic
80C4×D4×D73C2211yescharacteristic
81#17988977C2211yescharacteristic, complemented
82#17988976C2211yescharacteristic, complemented
83#17988975C2211yescharacteristic, complemented
84#17988973C2211yescharacteristic, complemented
85#17988958C2211yescharacteristic, complemented
86#17988958C2211yescharacteristic, complemented
87#17988949C2211yescharacteristic, complemented
88#17988948C2211yescharacteristic, complemented
89#17988945C2211yescharacteristic, complemented
90#17988936C2211yescharacteristic, complemented
91#17988936C2211yescharacteristic, complemented
92#17988924C2211yescharacteristic, complemented
93#17988922C2211yescharacteristic, complemented
94#17988921C2211yescharacteristic, complemented
95#17988900C2211yescharacteristic, complemented
96#17988881C2211yescharacteristic, complemented
97#17988880C2211yescharacteristic, complemented
98#17988879C2211yescharacteristic, complemented
99#17988866C2211yescharacteristic
100#17988866C2211yescharacteristic, complemented
101#17988866C2211yescharacteristic, complemented
102#17988866C2211yescharacteristic, complemented
103#17988865C2211yescharacteristic, complemented
104#17988865C2211yescharacteristic, complemented
105#17988836C2211yescharacteristic, complemented
106#17988836C2211yescharacteristic, complemented
107#17988835C2211yescharacteristic, complemented
108#17988834C2211yescharacteristic, complemented
109#17988834C2211yescharacteristic, complemented
110#17988833C2211yescharacteristic, complemented
111#17988831C2211yescharacteristic, complemented
112#17988823C2211yescharacteristic, complemented
113#17988821C2211yescharacteristic, complemented
114#17988821C2211yescharacteristic, complemented
115#17988805C2211yescharacteristic
116#17988805C2211yescharacteristic, complemented
117#17988803C2211yescharacteristic
118#17988802C2211yescharacteristic, complemented
119#17988801C2211yescharacteristic
120#17988801C2211yescharacteristic, complemented
121#17988799C2211yescharacteristic
122#17988791C2211yescharacteristic
123#17988791C2211yescharacteristic
124#17988791C2211yescharacteristic
125#17988791C2211yescharacteristic
126#17988791C2211yescharacteristic, complemented
127#17988791C2211yescharacteristic, complemented
128#17988791C2211yescharacteristic, complemented
129#17988791C2211yescharacteristic, complemented
130#17988791C2211yescharacteristic, complemented
131#17988791C2211yescharacteristic, complemented
132#17988790C2211yescharacteristic, complemented
133#17988790C2211yescharacteristic, complemented
134#17988788C2211yescharacteristic, complemented
135#17988787C2211yescharacteristic, complemented
136#17988786C2211yescharacteristic, complemented
137#17988785C2211yescharacteristic, complemented
138#17988781C2211yescharacteristic
139#17988781C2211yescharacteristic, complemented
140#17988781C2211yescharacteristic, complemented
141#17988781C2211yescharacteristic, complemented
142#17988780C2211yescharacteristic, complemented
143#17988780C2211yescharacteristic, complemented
144#17988740C2211yescharacteristic
145#17988739C2211yescharacteristic
146#17988737C2211yescharacteristic
147#17988736C2211yescharacteristic
148#17988735C2211yescharacteristic, complemented
149#17988735C2211yescharacteristic, complemented
150#17988734C2211yescharacteristic, complemented
151#17988733C2211yescharacteristic, complemented
152#17988733C2211yescharacteristic, complemented
153#17988732C2211yescharacteristic, complemented
154#17988730C2211yescharacteristic, complemented
155#17988728C2211yescharacteristic, complemented
156#17988726C2211yescharacteristic, complemented
157#17988725C2211yescharacteristic, complemented
158#17988723C2211yescharacteristic
159#17988720C2211yescharacteristic
160#17988716C2211yescharacteristic, complemented
161#17988715C2211yescharacteristic, complemented
162#17988690C2211yescharacteristic
163#17988690C2211yescharacteristic, complemented
164#17988689C2211yescharacteristic
165#17988687C2211yescharacteristic, complemented
166#17988686C2211yescharacteristic
167#17988686C2211yescharacteristic, complemented
168#17988685C2211yescharacteristic
169#17988669C2211yescharacteristic
170#17988669C2211yescharacteristic, complemented
171#17988667C2211yescharacteristic
172#17988667C2211yescharacteristic, complemented
173#17988663C2211yescharacteristic, complemented
174#17988662C2211yescharacteristic, complemented
175#17988659C2211yescharacteristic, complemented
176#17988658C2211yescharacteristic, complemented
177#17988655C2211yescharacteristic, complemented
178#17988642C2211yescharacteristic, complemented
179#17988641C2211yescharacteristic, complemented
180#17988637C2211yescharacteristic, complemented
181#17988610C2211yescharacteristic, complemented
182#17988609C2211yescharacteristic, complemented
183C2×#14556520C2211yescharacteristic, complemented
184#17988587C2211yescharacteristic, complemented
185#17988586C2211yescharacteristic, complemented
186#17988585C2211yescharacteristic, complemented
187C2×#14556514C2211yescharacteristic, complemented
188#548×C73C2211yescharacteristic, complemented
189#547×C73C2211yescharacteristic
190#489×C73C2211yescharacteristic, complemented
191#484×C73C2211yescharacteristic, complemented
192#480×C73C2211yescharacteristic, complemented
193#477×C73C2211yescharacteristic, complemented
194#468×C73C2211yescharacteristic, complemented
195#466×C73C2211yescharacteristic, complemented
196#463×C73C2211yescharacteristic, complemented
197#449×C73C2211yescharacteristic, complemented
198#448×C73C2211yescharacteristic, complemented
199#440×C73C2211yescharacteristic, complemented
200#435×C73C2211yescharacteristic, complemented
201#417×C73C2211yescharacteristic, complemented
202C2×#103×C73C2211yescharacteristic, complemented
203C2×#11924029—21no—
204C2×#11924029C2311yescharacteristic
205C2×#11924028—21no—
206C2×#11924028—21no—
207C2×#11924028—21no—
208C2×#11924028C2311yescharacteristic
209C2×#11924027—21no—
210C2×#11924027—21no—
211C2×#11924027—21no—
212C2×#11924027D411yescharacteristic
213C2×#11924027C2311yescharacteristic
214#41×D73—48no—
215C22×Dic146C2311yescharacteristic
216C2×Q8×D73—21no—
217C22×D292C2311yescharacteristic
218C22×D292C2311yescharacteristic
219C2×D4×D73—21no—
220C2×D4×D73—21no—
221C2×D4×D73—21no—
222C2×D4×D73C2311yescharacteristic
223C22×C4×D73—21no—
224C22×C4×D73—21no—
225C22×C4×D73—21no—
226#14556619—42no—
227#14556618—42no—
228#14556616—42no—
229#14556615—42no—
230C2×#11924017—42no—
231C2×#11924017C2311yescharacteristic
232C2×#11924017C2311yescharacteristic
233C2×#11924017C2311yescharacteristic
234C2×#11924017C2311yescharacteristic
235C2×#11924017C2311yescharacteristic
236C2×#11924017C2311yescharacteristic
237C2×#11924016C2311yescharacteristic
238C2×#11924016C2311yescharacteristic
239C2×#11924015—42no—
240C2×#11924015C2311yescharacteristic
241C2×#11924015C2311yescharacteristic
242C2×#11924015C2311yescharacteristic
243C2×#11924015C2311yescharacteristic
244C2×#11924015C2311yescharacteristic
245C2×#11924015C2311yescharacteristic
246C2×D584C2311yescharacteristic
247C2×D584C2311yescharacteristic
248C2×D584C2311yescharacteristic
249C2×#11924013C2311yescharacteristic
250C2×#11924013C2311yescharacteristic
251C2×#11924013C2311yescharacteristic
252C2×#11924013C2311yescharacteristic
253C2×#11924012C2311yescharacteristic
254C2×#11924011C2311yescharacteristic
255C2×#11924011C2311yescharacteristic
256C22×#10596831C2311yescharacteristic
257#14556590C2311yescharacteristic
258#14556590C2311yescharacteristic
259#14556590C2311yescharacteristic
260#14556589—21no—
261#14556589—21no—
262#14556589C2311yescharacteristic
263#14556589C2311yescharacteristic
264#14556589C2311yescharacteristic
265#14556589C2311yescharacteristic
266#14556588C2311yescharacteristic
267#14556587C2311yescharacteristic
268#14556587C2311yescharacteristic
269#14556587C2311yescharacteristic
270#14556586—21no—
271#14556585—21no—
272#14556584—21no—
273#14556584—21no—
274#14556581—21no—
275#14556581—21no—
276#14556580—21no—
277#14556580—21no—
278#14556580C2311yescharacteristic
279#14556579C2311yescharacteristic
280#14556578C2311yescharacteristic
281#14556577—21no—
282#14556577—21no—
283#14556577—21no—
284#14556577—21no—
285#14556577—21no—
286#14556576—21no—
287#14556576—21no—
288#14556576—21no—
289#14556574—21no—
290#14556574—21no—
291#14556574—21no—
292#14556573—21no—
293#14556572—21no—
294#14556571C2311yescharacteristic
295#14556570C2311yescharacteristic
296#14556569—21no—
297#14556569—21no—
298#14556569—21no—
299#14556569—21no—
300#14556569—21no—
301#14556569—21no—
302#14556569—21no—
303#14556568—21no—
304#14556568—21no—
305#14556568—21no—
306#14556567—21no—
307#14556567—21no—
308#14556567C2311yescharacteristic
309#14556566—21no—
310#14556566—21no—
311#14556566C2311yescharacteristic
312#14556566C2311yescharacteristic
313#14556565—21no—
314#14556565—21no—
315#14556565C2311yescharacteristic
316#14556565C2311yescharacteristic
317#14556565C2311yescharacteristic
318#14556564—21no—
319#14556564—21no—
320#14556564—21no—
321#14556564—21no—
322#14556564—21no—
323#14556564—21no—
324#14556564—21no—
325#14556563—21no—
326#14556563—21no—
327#14556563—21no—
328#14556563—21no—
329#14556563—21no—
330#14556563—21no—
331#14556563—21no—
332#14556563—21no—
333#14556561—21no—
334#14556561—21no—
335#14556561—21no—
336#14556561—21no—
337#14556559—21no—
338#14556559—21no—
339Q8×Dic73C2311yescharacteristic
340C4×Dic146—21no—
341C4×Dic146C2311yescharacteristic
342C4×Dic146C2311yescharacteristic
343#14556556—21no—
344#14556556D411yescharacteristic
345#14556556C2311yescharacteristic
346C4×D292C2311yescharacteristic
347D4×Dic73—21no—
348D4×Dic73D411yescharacteristic
349D4×Dic73C2311yescharacteristic
350D4×Dic73C2311yescharacteristic
351#14556553—21no—
352#14556553—21no—
353#14556553—21no—
354#14556553—21no—
355#14556553—21no—
356#14556553C2311yescharacteristic
357#14556553C2311yescharacteristic
358#14556553C2311yescharacteristic
359#14556553C2311yescharacteristic
360#14556553C2311yescharacteristic
361#14556553C2311yescharacteristic
362#14556553C2311yescharacteristic
363#14556553C2311yescharacteristic
364C4×C22⋊D73—21no—
365C4×C22⋊D73—21no—
366C4×C22⋊D73—21no—
367C4×C22⋊D73—21no—
368C4×C22⋊D73C2311yescharacteristic
369C4×C22⋊D73C2311yescharacteristic
370#14556551—21no—
371#14556551—21no—
372#14556551—21no—
373#14556551—21no—
374#14556551—21no—
375#14556551—21no—
376#14556551—21no—
377#14556551D411yescharacteristic
378#14556551D411yescharacteristic
379#14556549D411yescharacteristic
380#14556548—21no—
381#14556548—21no—
382#14556547—21no—
383#14556547—21no—
384#14556547D411yescharacteristic
385#14556547D411yescharacteristic
386C2×#11924007—21no—
387C2×#11924007—21no—
388C2×#11924007—21no—
389C4⋊C4×D73—21no—
390C4⋊C4×D73C2311yescharacteristic
391C2×#11924005—21no—
392C2×#11924005—21no—
393C22⋊C4×D73—21no—
394C2×C4×Dic73C2311yescharacteristic
395C2×C4×Dic73C2311yescharacteristic
396C42×D73C2311yescharacteristic
397#14556525C2311yescharacteristic
398#14556524C2311yescharacteristic
399#14556524C2311yescharacteristic
400#14556524C2311yescharacteristic
401#14556524C2311yescharacteristic
402C4⋊#10596831C2311yescharacteristic
403#14556520C2311yescharacteristic
404#14556520C2311yescharacteristic
405#14556520C2311yescharacteristic
406#14556520C2311yescharacteristic
407#14556520C2311yescharacteristic
408#14556520C2311yescharacteristic
409#14556520C2311yescharacteristic
410#14556520C2311yescharacteristic
411#14556516C2311yescharacteristic
412#14556516C2311yescharacteristic
413#14556515C2311yescharacteristic
414#14556515C2311yescharacteristic
415#14556514C2311yescharacteristic
416#14556514C2311yescharacteristic
417#14556514C2311yescharacteristic
418#14556514C2311yescharacteristic
419#14556514C2311yescharacteristic
420#14556514C2311yescharacteristic
421#14556513C2311yescharacteristic
422#14556513C2311yescharacteristic
423#14556513C2311yescharacteristic
424#14556513C2311yescharacteristic
425#14556512C2311yescharacteristic
426#14556512C2311yescharacteristic
427#14556511C2311yescharacteristic
428#14556511C2311yescharacteristic
429#14556511C2311yescharacteristic
430#14556511C2311yescharacteristic
431#14556511C2311yescharacteristic
432#14556511C2311yescharacteristic
433C22⋊#10596831C2311yescharacteristic
434C22⋊#10596831C2311yescharacteristic
435#14556503C2311yescharacteristic
436#14556503C2311yescharacteristic
437#14556502C2311yescharacteristic
438#14556501C2311yescharacteristic
439#14556501C2311yescharacteristic
440C8×Dic73C2311yescharacteristic
441C8×Dic73C2311yescharacteristic
442C2×#41×C73—21no—
443C2×#41×C73C2311yescharacteristic
444C22×Q8×C73C2311yescharacteristic
445C2×SD16×C73C2311yescharacteristic
446C2×SD16×C73C2311yescharacteristic
447C2×D8×C73C2311yescharacteristic
448C2×M16×C73C2311yescharacteristic
449C22×C8×C73C2311yescharacteristic
450C4⋊Q8×C73C2311yescharacteristic
451#124×C73—21no—
452#124×C73C2311yescharacteristic
453#123×C73—21no—
454#123×C73—21no—
455C22⋊Q8×C73—21no—
456C22⋊Q8×C73—21no—
457C22⋊Q8×C73C2311yescharacteristic
458#121×C73—21no—
459#121×C73C2311yescharacteristic
460#121×C73C2311yescharacteristic
461#121×C73C2311yescharacteristic
462C4×Q8×C73C2311yescharacteristic
463C4×D4×C73—21no—
464C4×D4×C73C2311yescharacteristic
465C4×D4×C73C2311yescharacteristic
466C2×C4⋊C4×C73C2311yescharacteristic
467C2×C4⋊C4×C73C2311yescharacteristic
468#107×C73C2311yescharacteristic
469#107×C73C2311yescharacteristic
470#107×C73C2311yescharacteristic
471C4⋊C8×C73C2311yescharacteristic
472#103×C73C2311yescharacteristic
473#103×C73C2311yescharacteristic
474#103×C73C2311yescharacteristic
475#103×C73C2311yescharacteristic
476#103×C73C2311yescharacteristic
477#103×C73C2311yescharacteristic
478#102×C73C2311yescharacteristic
479#102×C73C2311yescharacteristic
480#102×C73C2311yescharacteristic
481#102×C73C2311yescharacteristic
482C22⋊C8×C73C2311yescharacteristic
483C22⋊C8×C73C2311yescharacteristic
484#97×C73C2311yescharacteristic
485C23×D73—21no—
486C23×D73—21no—
487C23×D73—21no—
488#11924029—44no—
489#11924029—41no—
490#11924029—41no—
491#11924028—44no—
492#11924028—41no—
493#11924028—41no—
494#11924028—44no—
495#11924028—44no—
496#11924027—24no—
497#11924027—41no—
498#11924027—41no—
499#11924027—44no—
500#11924027—44no—
501#11924027—44no—
502C2×Dic146—21no—
503C2×Dic146—21no—
504C2×Dic146—21no—
505C2×Dic146—21no—
506C2×Dic146—41no—
507C2×Dic146—41no—
508C2×Dic146C2×D411yescharacteristic
509C2×Dic146C2411yescharacteristic
510C2×Dic146C2411yescharacteristic
511Q8×D73—44no—
512C2×D292—22no—
513C2×D292—22no—
514C2×D292—21no—
515C2×D292—21no—
516C2×D292—21no—
517C2×D292—21no—
518C2×D292—21no—
519C2×D292—21no—
520C2×D292—21no—
521C2×D292—41no—
522C2×D292—41no—
523C2×D292C2411yescharacteristic
524C2×D292C2411yescharacteristic
525C2×D292C2411yescharacteristic
526C2×D292C2411yescharacteristic
527C2×C22⋊D73—21no—
528C2×C22⋊D73—21no—
529C2×C22⋊D73—21no—
530C2×C22⋊D73—21no—
531C2×C22⋊D73—21no—
532C2×C22⋊D73—21no—
533C2×C22⋊D73—21no—
534C2×C22⋊D73—21no—
535C2×C22⋊D73—21no—
536C2×C22⋊D73—21no—
537C2×C22⋊D73—21no—
538C2×C22⋊D73—21no—
539C2×C22⋊D73C2×D411yescharacteristic
540C2×C22⋊D73C2×D411yescharacteristic
541D4×D73—22no—
542D4×D73—41no—
543D4×D73—44no—
544D4×D73—44no—
545D4×D73—44no—
546C22×Dic73—21no—
547C22×Dic73—21no—
548C22×Dic73—21no—
549C22×Dic73—21no—
550C22×Dic73C2×D411yescharacteristic
551C22×Dic73C2×D411yescharacteristic
552C22×Dic73C2×D411yescharacteristic
553C22×Dic73C2×D411yescharacteristic
554C2×C4×D73—21no—
555C2×C4×D73—21no—
556C2×C4×D73—21no—
557C2×C4×D73—21no—
558C2×C4×D73—21no—
559C2×C4×D73—21no—
560C2×C4×D73—21no—
561C2×C4×D73—21no—
562C2×C4×D73—21no—
563C2×C4×D73—21no—
564C2×C4×D73—21no—
565C2×C4×D73—21no—
566C2×C4×D73—44no—
567C2×C4×D73—44no—
568C2×C4×D73—44no—
569C2×C4×D73C2×D411yescharacteristic
570C2×C4×D73C2×D411yescharacteristic
571C2×C4×D73C2411yescharacteristic
572#11924017—22no—
573#11924017—22no—
574#11924017—41no—
575#11924017—41no—
576#11924017—41no—
577#11924017—41no—
578#11924016—41no—
579#11924016—41no—
580#11924015—22no—
581#11924015—22no—
582#11924015—41no—
583#11924015—41no—
584#11924015—41no—
585#11924015—41no—
586D584—22no—
587D584—41no—
588D584—41no—
589#11924013—22no—
590#11924013—41no—
591#11924013—41no—
592#11924013—41no—
593#11924012—41no—
594#11924011—41no—
595#11924011—41no—
596C2×#10596831—41no—
597C2×#10596831C2411yescharacteristic
598C2×#10596831C2411yescharacteristic
599C2×#10596831C2411yescharacteristic
600C2×#10596831C2411yescharacteristic
601C4⋊Dic73—21no—
602C4⋊Dic73—21no—
603C4⋊Dic73C2×D411yescharacteristic
604C4⋊Dic73C2411yescharacteristic
605C4⋊Dic73C2411yescharacteristic
606#11924007—21no—
607#11924007—21no—
608#11924007—21no—
609#11924007—21no—
610#11924007—21no—
611#11924007—21no—
612#11924007—21no—
613#11924007—21no—
614#11924007—21no—
615#11924007—21no—
616#11924007—21no—
617#11924007—21no—
618#11924007—21no—
619#11924007—21no—
620#11924007—21no—
621#11924007—21no—
622#11924007C2×D411yescharacteristic
623#11924007C2×D411yescharacteristic
624#11924007C2×D411yescharacteristic
625#11924007C2×D411yescharacteristic
626C22⋊Dic73—21no—
627C22⋊Dic73—21no—
628C22⋊Dic73—21no—
629C22⋊Dic73—21no—
630C22⋊Dic73—21no—
631C22⋊Dic73C2×D411yescharacteristic
632C22⋊Dic73C2×D411yescharacteristic
633#11924005—21no—
634#11924005—21no—
635#11924005—21no—
636#11924005—21no—
637#11924005—21no—
638#11924005—21no—
639#11924005—21no—
640#11924005—21no—
641#11924005—21no—
642#11924005—21no—
643#11924005—21no—
644#11924005—21no—
645#11924005—21no—
646#11924005—21no—
647#11924005—21no—
648#11924005—21no—
649#11924005—21no—
650#11924005—21no—
651#11924005—21no—
652#11924005—21no—
653#11924005C2×D411yescharacteristic
654#11924005C2×D411yescharacteristic
655C4×Dic73—21no—
656C4×Dic73—21no—
657C4×Dic73—21no—
658C4×Dic73C2×D411yescharacteristic
659C4×Dic73C2×D411yescharacteristic
660C4×Dic73C2×D411yescharacteristic
661C4×Dic73C2×D411yescharacteristic
662C4×Dic73C2×D411yescharacteristic
663C4×Dic73C2×D411yescharacteristic
664C4×Dic73C2411yescharacteristic
665C4×Dic73C2411yescharacteristic
666C4×Dic73C2411yescharacteristic
667#41×C73—41no—
668#41×C73—41no—
669#41×C73—44no—
670C2×Q8×C73—21no—
671C2×Q8×C73—21no—
672C2×Q8×C73—41no—
673C2×Q8×C73—41no—
674C2×Q8×C73C2411yescharacteristic
675C2×Q8×C73C2411yescharacteristic
676C2×D4×C73—21no—
677C2×D4×C73—21no—
678C2×D4×C73—21no—
679C2×D4×C73—21no—
680C2×D4×C73C2×D411yescharacteristic
681C2×D4×C73C2411yescharacteristic
682C2×D4×C73C2411yescharacteristic
683C22×C4×C73—21no—
684C22×C4×C73—21no—
685C22×C4×C73—21no—
686C22×C4×C73—21no—
687C22×C4×C73—21no—
688C22×C4×C73C2411yescharacteristic
689C22×C4×C73C2411yescharacteristic
690SD16×C73—41no—
691SD16×C73—41no—
692D8×C73—41no—
693M16×C73—41no—
694C2×C8×C73—41no—
695C2×C8×C73C2411yescharacteristic
696C2×C8×C73C2411yescharacteristic
697C2×C8×C73C2411yescharacteristic
698C2×C8×C73C2411yescharacteristic
699C4⋊C4×C73—21no—
700C4⋊C4×C73—21no—
701C4⋊C4×C73—21no—
702C4⋊C4×C73—21no—
703C4⋊C4×C73—21no—
704C4⋊C4×C73C2×D411yescharacteristic
705C4⋊C4×C73C2411yescharacteristic
706C4⋊C4×C73C2411yescharacteristic
707C4⋊C4×C73C2411yescharacteristic
708C4⋊C4×C73C2411yescharacteristic
709C22⋊C4×C73—21no—
710C22⋊C4×C73—21no—
711C22⋊C4×C73—21no—
712C22⋊C4×C73—21no—
713C22⋊C4×C73—21no—
714C22⋊C4×C73—21no—
715C22⋊C4×C73—21no—
716C22⋊C4×C73C2×D411yescharacteristic
717C22⋊C4×C73C2×D411yescharacteristic
718C42×C73—21no—
719C42×C73C2411yescharacteristic
720C23×C73—21no—
721C23×C73—21no—
722C23×C73C22×D411yescharacteristic
723C23×C73C22×D411yescharacteristic
724C22×D73—21no—
725C22×D73—21no—
726C22×D73—21no—
727C22×D73—21no—
728C22×D73—42no—
729C22×D73—42no—
730C22×D73—42no—
731C22×D73—42no—
732C22×D73—42no—
733C22×D73—42no—
734C22×D73—81no—
735C22×D73—81no—
736C22×D73—81no—
737C22×D73C22×D411yescharacteristic
738Q8×C73—21no—
739Q8×C73—21no—
740Q8×C73—21no—
741Q8×C73—21no—
742Q8×C73—42no—
743Q8×C73—81no—
744D4×C73—22no—
745D4×C73—21no—
746D4×C73—21no—
747D4×C73—21no—
748D4×C73—21no—
749D4×C73—42no—
750D4×C73—42no—
751D4×C73—42no—
752D4×C73—81no—
753C2×C4×C73—21no—
754C2×C4×C73—21no—
755C2×C4×C73—21no—
756C2×C4×C73—21no—
757C2×C4×C73—21no—
758C2×C4×C73—21no—
759C2×C4×C73—21no—
760C2×C4×C73—21no—
761C2×C4×C73—21no—
762C2×C4×C73—21no—
763C2×C4×C73—42no—
764C2×C4×C73—42no—
765C2×C4×C73—42no—
766C2×C4×C73—81no—
767C2×C4×C73—81no—
768C2×C4×C73C22×D411yescharacteristic
769C2×C4×C73C22×D411yescharacteristic
770C2×C4×C73C22×D411yescharacteristic
771C2×C4×C73C22×D411yescharacteristic
772C2×C4×C73C2511yescharacteristic
773C22⋊D73—22no—
774C22⋊D73—22no—
775C22⋊D73—42no—
776C22⋊D73—42no—
777C22⋊D73—42no—
778C22⋊D73—42no—
779C22⋊D73—42no—
780C22⋊D73—42no—
781C22⋊D73—42no—
782C22⋊D73—42no—
783C22⋊D73—81no—
784C22⋊D73—81no—
785C22⋊D73—81no—
786C22⋊D73—81no—
787C2×Dic73—22no—
788C2×Dic73—21no—
789C2×Dic73—21no—
790C2×Dic73—21no—
791C2×Dic73—21no—
792C2×Dic73—41no—
793C2×Dic73—41no—
794C2×Dic73—42no—
795C2×Dic73—42no—
796C2×Dic73—81no—
797C2×Dic73—81no—
798C2×Dic73AGL(1,ℤ/8)14yescomplemented
799C2×Dic73C22×D411yescharacteristic
800C2×Dic73C22×D411yescharacteristic
801C2×Dic73C22×D411yescharacteristic
802C2×Dic73C22×D411yescharacteristic
803C2×Dic73C22×D411yescharacteristic
804C2×Dic73C22×D411yescharacteristic
805C2×Dic73C22×D411yescharacteristic
806D292—21no—
807D292—21no—
808D292—21no—
809D292—21no—
810D292—21no—
811D292—21no—
812D292—21no—
813D292—42no—
814D292—42no—
815D292—42no—
816D292—42no—
817D292—42no—
818D292—81no—
819D292—81no—
820D292H(5,𝔽2)12yes—
821C4×D73—21no—
822C4×D73—21no—
823C4×D73—22no—
824C4×D73—41no—
825C4×D73—42no—
826C4×D73—42no—
827C4×D73—42no—
828C4×D73—42no—
829C4×D73—42no—
830C4×D73—42no—
831C4×D73—42no—
832C4×D73—42no—
833C4×D73—42no—
834C4×D73—42no—
835C4×D73—81no—
836C4×D73—81no—
837Dic146—22no—
838Dic146—21no—
839Dic146—21no—
840Dic146—21no—
841Dic146—21no—
842Dic146—42no—
843Dic146—42no—
844Dic146—42no—
845Dic146—81no—
846C8×C73—21no—
847C8×C73—21no—
848C8×C73—21no—
849C8×C73—21no—
850#10596831—21no—
851#10596831—21no—
852#10596831—21no—
853#10596831—21no—
854C22×C73—21no—
855C22×C73—21no—
856C22×C73—21no—
857C22×C73—21no—
858C22×C73—21no—
859C22×C73—41no—
860C22×C73—41no—
861C22×C73—41no—
862C22×C73—41no—
863C22×C73—41no—
864C22×C73—41no—
865C22×C73C2×AGL(1,ℤ/8)12yes—
866C22×C73C23×D411yescharacteristic
867C2×D73—21no—
868C2×D73—21no—
869C2×D73—22no—
870C2×D73—21no—
871C2×D73—41no—
872C2×D73—41no—
873C2×D73—41no—
874C2×D73—41no—
875C2×D73—41no—
876C2×D73—41no—
877C2×D73—41no—
878C2×D73—41no—
879C2×D73—41no—
880C2×D73—41no—
881C2×D73—41no—
882C2×D73—84no—
883C2×D73—84no—
884C2×D73—84no—
885C4×C73—21no—
886C4×C73—21no—
887C4×C73—21no—
888C4×C73—21no—
889C4×C73—41no—
890C4×C73—41no—
891C4×C73—41no—
892C4×C73—41no—
893C4×C73—41no—
894C4×C73—41no—
895C4×C73C2×H(5,𝔽2)11yescharacteristic
896C4×C73#58511yescharacteristic
897Dic73—21no—
898Dic73—21no—
899Dic73—21no—
900Dic73—21no—
901Dic73—21no—
902Dic73—41no—
903Dic73—41no—
904Dic73—41no—
905Dic73—41no—
906Dic73C2×AGL(1,ℤ/8)12yes—
907Dic73C2×AGL(1,ℤ/8)12yes—
908#61962—731nomaximal, Sylow
909C2×C73—22no—
910C2×C73—41no—
911C2×C73—81no—
912C2×C73—81no—
913C2×C73#348811yescharacteristic
914C2×C73C22×AGL(1,ℤ/8)11yescharacteristic
915C2×C73#358611yescharacteristic
916D73—41no—
917D73—42no—
918D73—81no—
919D73—81no—
920D73—81no—
921#3511—731no—
922D4×#41—731no—
923#3397—731no—
924#3397—731no—
925#3367—731no—
926#3367—731no—
927#3330—731no—
928#3330—731no—
929#3308—731no—
930#3308—731no—
931#3308—731no—
932#3308D7311yescharacteristic, complemented
933#3272—731no—
934#3272—731no—
935#3265—731no—
936#3265—731no—
937#3265—731no—
938#3265—731no—
939#3254—731no—
940#3254—731no—
941#3245—731no—
942#3214—731no—
943#3214—731no—
944#3206—731no—
945#3110—731no—
946#3110—731no—
947#3100—731no—
948#3036—731no—
949#3036—731no—
950C2×#461—731no—
951#2989—731no—
952C73#6196211yescharacteristic, complemented, Sylow
953C22×#41—1461no—
954C2×AGL(1,ℤ/8)—731no—
955C2×AGL(1,ℤ/8)—731no—
956C2×AGL(1,ℤ/8)—731no—
957C2×AGL(1,ℤ/8)—731no—
958C22×SD16—731no—
959C22×SD16—731no—
960#556—731no—
961#556—731no—
962#555—1461no—
963#554—1461no—
964#553—1461no—
965#553—1461no—
966#550—731no—
967D4×Q8—731no—
968#548—731no—
969#548—731no—
970#548—731no—
971#548—1461no—
972#548C2×D7311yescharacteristic, complemented
973#547—731no—
974#547—731no—
975#547—731no—
976#547—731no—
977#547C2×D7311yescharacteristic
978#546—1461no—
979#546—1461no—
980#546—1461no—
981D42—731no—
982D42—731no—
983D42—731no—
984#542—1461no—
985#542—1461no—
986#537—1461no—
987#533—731no—
988#533—731no—
989#532—731no—
990#532—731no—
991#532—731no—
992#532—731no—
993#532—731no—
994#532—731no—
995C2×C4⋊Q8—731no—
996#525—1461no—
997#525—1461no—
998#525—1461no—
999#520—1461no—
1000C4×#41—731no—
1001C2×C4×D4—731no—
1002C2×C4×D4—731no—
1003C2×C4×D4—731no—
1004#496—731no—
1005#496—731no—
1006#496—731no—
1007#496—731no—
1008#492—731no—
1009#492—731no—
1010#489—731no—
1011#489—731no—
1012#489—731no—
1013#489C2×D7311yescharacteristic, complemented
1014#487—731no—
1015#487—731no—
1016#484—731no—
1017#484—731no—
1018#484—731no—
1019#484C2×D7311yescharacteristic, complemented
1020#480—731no—
1021#480C2×D7311yescharacteristic, complemented
1022#477—731no—
1023#477—731no—
1024#477—731no—
1025#477C2×D7311yescharacteristic, complemented
1026#474—731no—
1027#474—731no—
1028#474—731no—
1029#474—731no—
1030#474—731no—
1031#474—731no—
1032#468—731no—
1033#468—731no—
1034#468—731no—
1035#468—731no—
1036#468—731no—
1037#468—731no—
1038#468—731no—
1039#468C2×D7311yescharacteristic, complemented
1040#466—731no—
1041#466—731no—
1042#466—731no—
1043#466C2×D7311yescharacteristic, complemented
1044#463—731no—
1045#463—731no—
1046#463—731no—
1047#463—731no—
1048#463—731no—
1049#463—731no—
1050#463—731no—
1051#463C2×D7311yescharacteristic, complemented
1052#461—731no—
1053#461—731no—
1054#461—731no—
1055#461—731no—
1056#461—731no—
1057#461—731no—
1058#461—731no—
1059#461—731no—
1060#461—731no—
1061#461—731no—
1062#461—731no—
1063#461—731no—
1064#460—731no—
1065#460—731no—
1066#460—731no—
1067#460—731no—
1068#459—731no—
1069#459—731no—
1070#459—731no—
1071#459—731no—
1072#459—731no—
1073#459—731no—
1074#450—731no—
1075#450—731no—
1076#450—731no—
1077#450—731no—
1078#449—731no—
1079#449—731no—
1080#449—731no—
1081#449—731no—
1082#449—731no—
1083#449—731no—
1084#449—731no—
1085#449C2×D7311yescharacteristic, complemented
1086#448—731no—
1087#448—731no—
1088#448—731no—
1089#448C2×D7311yescharacteristic, complemented
1090#447—731no—
1091#447—731no—
1092#446—731no—
1093#446—731no—
1094#440—731no—
1095#440—731no—
1096#440—731no—
1097#440—731no—
1098#440—731no—
1099#440—731no—
1100#440—731no—
1101#440C2×D7311yescharacteristic, complemented
1102C4×D8—731no—
1103C4×D8—731no—
1104C4×D8—731no—
1105C4×D8—731no—
1106#436—731no—
1107#436—731no—
1108#435—731no—
1109#435—731no—
1110#435—731no—
1111#435C2×D7311yescharacteristic, complemented
1112#432—731no—
1113#432—731no—
1114#431—731no—
1115#423—731no—
1116#423—731no—
1117C2×C4⋊C8—731no—
1118#417—731no—
1119#417—731no—
1120#417—731no—
1121#417C2×D7311yescharacteristic, complemented
1122C2×#103—731no—
1123C2×#103C2×D7311yescharacteristic, complemented
1124C2×#41—21no—
1125C2×#41—2928no—
1126C2×#41—731no—
1127C2×#41—731no—
1128C2×#41—731no—
1129C2×#41—731no—
1130C2×#41—1461no—
1131C2×#41—1461no—
1132C2×#41—1461no—
1133C2×#41—1461no—
1134C2×#41—1461no—
1135C2×#41—1461no—
1136C2×#41—1461no—
1137C2×#41C22×D7311yescharacteristic
1138C22×Q8—731no—
1139C22×Q8—1461no—
1140C22×Q8C22×D7311yescharacteristic
1141C22×D4—731no—
1142C22×D4—731no—
1143C22×D4—731no—
1144C22×D4—1461no—
1145C22×D4—1461no—
1146C22×D4—1461no—
1147C23×C4—1461no—
1148C23×C4—1461no—
1149C23×C4—1461no—
1150AGL(1,ℤ/8)—2922no—
1151AGL(1,ℤ/8)—2922no—
1152AGL(1,ℤ/8)—2922no—
1153AGL(1,ℤ/8)—2922no—
1154C2×SD16—2922no—
1155C2×SD16—2922no—
1156C2×SD16—731no—
1157C2×SD16—731no—
1158C2×SD16—731no—
1159C2×SD16—731no—
1160C2×SD16—731no—
1161C2×SD16—731no—
1162C2×SD16—731no—
1163C2×SD16—731no—
1164C2×SD16—731no—
1165C2×SD16—731no—
1166C2×SD16—731no—
1167C2×SD16—731no—
1168C2×SD16—731no—
1169C2×SD16—731no—
1170C2×SD16C22×D7311yescharacteristic
1171C2×SD16C22×D7311yescharacteristic
1172C2×D8—731no—
1173C2×D8—731no—
1174C2×D8—731no—
1175C2×D8—731no—
1176C2×D8—731no—
1177C2×D8—731no—
1178C2×D8—731no—
1179C2×D8C22×D7311yescharacteristic
1180C2×M16—731no—
1181C2×M16—731no—
1182C2×M16—731no—
1183C2×M16C22×D7311yescharacteristic
1184C22×C8—731no—
1185C22×C8C22×D7311yescharacteristic
1186C4⋊Q8—731no—
1187C4⋊Q8—731no—
1188C4⋊Q8—731no—
1189C4⋊Q8—731no—
1190C4⋊Q8—731no—
1191C4⋊Q8—731no—
1192C4⋊Q8—731no—
1193C4⋊Q8—1461no—
1194C4⋊Q8—1461no—
1195C4⋊Q8C22×D7311yescharacteristic
1196#127—731no—
1197#127—731no—
1198#127—731no—
1199#127—731no—
1200#126—1461no—
1201#126—1461no—
1202#126—1461no—
1203#126—1461no—
1204#125—1461no—
1205#125—1461no—
1206#124—21no—
1207#124—731no—
1208#124—731no—
1209#124—731no—
1210#124—1461no—
1211#124—1461no—
1212#124—1461no—
1213#124—1461no—
1214#124—1461no—
1215#124—1461no—
1216#124—1461no—
1217#124C22×D7311yescharacteristic
1218#123—21no—
1219#123—21no—
1220#123—1461no—
1221#123—1461no—
1222#123—1461no—
1223#123—1461no—
1224#123—1461no—
1225#123—1461no—
1226#123—1461no—
1227#123—1461no—
1228C22⋊Q8—21no—
1229C22⋊Q8—21no—
1230C22⋊Q8—731no—
1231C22⋊Q8—731no—
1232C22⋊Q8—731no—
1233C22⋊Q8—1461no—
1234C22⋊Q8—1461no—
1235C22⋊Q8—1461no—
1236C22⋊Q8—1461no—
1237C22⋊Q8—1461no—
1238C22⋊Q8—1461no—
1239C22⋊Q8—1461no—
1240C22⋊Q8—1461no—
1241C22⋊Q8—1461no—
1242C22⋊Q8—1461no—
1243C22⋊Q8—1461no—
1244C22⋊Q8—1461no—
1245C22⋊Q8C22×D7311yescharacteristic
1246#121—21no—
1247#121—731no—
1248#121—731no—
1249#121—731no—
1250#121—731no—
1251#121—731no—
1252#121—1461no—
1253#121—1461no—
1254#121—1461no—
1255#121—1461no—
1256#121—1461no—
1257#121—1461no—
1258#121—1461no—
1259#121—1461no—
1260#121—1461no—
1261#121—1461no—
1262#121—1461no—
1263#121—1461no—
1264#121—1461no—
1265#121—1461no—
1266#121—1461no—
1267#121—1461no—
1268#121—1461no—
1269#121—1461no—
1270#121—1461no—
1271#121C22×D7311yescharacteristic
1272#121C22×D7311yescharacteristic
1273#121C22×D7311yescharacteristic
1274#120—1461no—
1275#120—1461no—
1276#120—1461no—
1277#120—1461no—
1278#120—1461no—
1279#120—1461no—
1280C4×Q8—731no—
1281C4×Q8—731no—
1282C4×Q8—731no—
1283C4×Q8—731no—
1284C4×Q8—731no—
1285C4×Q8—1461no—
1286C4×Q8—1461no—
1287C4×Q8C22×D7311yescharacteristic
1288C4×D4—21no—
1289C4×D4—731no—
1290C4×D4—731no—
1291C4×D4—731no—
1292C4×D4—731no—
1293C4×D4—731no—
1294C4×D4—731no—
1295C4×D4—731no—
1296C4×D4—731no—
1297C4×D4—731no—
1298C4×D4—731no—
1299C4×D4—731no—
1300C4×D4—731no—
1301C4×D4—731no—
1302C4×D4—731no—
1303C4×D4—731no—
1304C4×D4—731no—
1305C4×D4—1461no—
1306C4×D4—1461no—
1307C4×D4—1461no—
1308C4×D4—1461no—
1309C4×D4—1461no—
1310C4×D4—1461no—
1311C4×D4—1461no—
1312C4×D4—1461no—
1313C4×D4—1461no—
1314C4×D4—1461no—
1315C4×D4—1461no—
1316C4×D4—1461no—
1317C4×D4—1461no—
1318C4×D4—1461no—
1319C4×D4—1461no—
1320C4×D4—1461no—
1321C4×D4—1461no—
1322C4×D4C22×D7311yescharacteristic
1323C4×D4C22×D7311yescharacteristic
1324#117—731no—
1325#117—731no—
1326#117—731no—
1327#117—1461no—
1328#117—1461no—
1329#117—1461no—
1330#117—1461no—
1331C2×C4⋊C4—731no—
1332C2×C4⋊C4—1461no—
1333C2×C4⋊C4—1461no—
1334C2×C4⋊C4—1461no—
1335C2×C4⋊C4—1461no—
1336C2×C4⋊C4C22×D7311yescharacteristic
1337C2×C4⋊C4C22×D7311yescharacteristic
1338C2×C22⋊C4—1461no—
1339C2×C22⋊C4—1461no—
1340C2×C22⋊C4—1461no—
1341C2×C42—731no—
1342C2×C42—731no—
1343C2×C42—731no—
1344#107—731no—
1345#107—731no—
1346#107—731no—
1347#107—731no—
1348#107—731no—
1349#107C22×D7311yescharacteristic
1350#107C22×D7311yescharacteristic
1351#107C22×D7311yescharacteristic
1352C4⋊C8—731no—
1353C4⋊C8—731no—
1354C4⋊C8—731no—
1355C4⋊C8—731no—
1356C4⋊C8—731no—
1357C4⋊C8—731no—
1358C4⋊C8—731no—
1359C4⋊C8—731no—
1360C4⋊C8—731no—
1361C4⋊C8C22×D7311yescharacteristic
1362#103—731no—
1363#103—731no—
1364#103—731no—
1365#103—731no—
1366#103—731no—
1367#103—731no—
1368#103—731no—
1369#103—731no—
1370#103—731no—
1371#103—731no—
1372#103C22×D7311yescharacteristic
1373#103C22×D7311yescharacteristic
1374#103C22×D7311yescharacteristic
1375#103C22×D7311yescharacteristic
1376#103C22×D7311yescharacteristic
1377#103C22×D7311yescharacteristic
1378#102—731no—
1379#102—731no—
1380#102—731no—
1381#102—731no—
1382#102—731no—
1383#102—731no—
1384#102—731no—
1385#102—731no—
1386#102—731no—
1387#102—731no—
1388#102—731no—
1389#102—731no—
1390#102C22×D7311yescharacteristic
1391#102C22×D7311yescharacteristic
1392#102C22×D7311yescharacteristic
1393#102C22×D7311yescharacteristic
1394C22⋊C8—731no—
1395C22⋊C8—731no—
1396C22⋊C8—731no—
1397C22⋊C8—731no—
1398C22⋊C8C22×D7311yescharacteristic
1399C22⋊C8C22×D7311yescharacteristic
1400#97—731no—
1401#97—731no—
1402#97—731no—
1403#97C22×D7311yescharacteristic
1404C4×C8—731no—
1405C4×C8—731no—
1406C24—1461no—
1407C24—1461no—
1408C24—1461no—
1409#41—41no—
1410#41—41no—
1411#41—44no—
1412#41—2921no—
1413#41—2921no—
1414#41—2924no—
1415#41—2924no—
1416#41—2924no—
1417#41—2924no—
1418#41—2924no—
1419#41—2924no—
1420#41—2924no—
1421#41—2921no—
1422#41—2921no—
1423#41—2921no—
1424#41—2921no—
1425#41—1464no—
1426C2×Q8—21no—
1427C2×Q8—21no—
1428C2×Q8—41no—
1429C2×Q8—41no—
1430C2×Q8—2921no—
1431C2×Q8—2921no—
1432C2×Q8—2924no—
1433C2×Q8—731no—
1434C2×Q8—731no—
1435C2×Q8—731no—
1436C2×Q8—1461no—
1437C2×Q8—1461no—
1438C2×Q8—1461no—
1439C2×Q8—1461no—
1440C2×Q8C23×D7311yescharacteristic
1441C2×Q8C23×D7311yescharacteristic
1442C2×D4—21no—
1443C2×D4—21no—
1444C2×D4—21no—
1445C2×D4—21no—
1446C2×D4—2921no—
1447C2×D4—2921no—
1448C2×D4—2924no—
1449C2×D4—2924no—
1450C2×D4—2924no—
1451C2×D4—2921no—
1452C2×D4—731no—
1453C2×D4—731no—
1454C2×D4—731no—
1455C2×D4—731no—
1456C2×D4—731no—
1457C2×D4—731no—
1458C2×D4—1461no—
1459C2×D4—1461no—
1460C2×D4—1462no—
1461C2×D4—1462no—
1462C2×D4—1461no—
1463C2×D4—1461no—
1464C2×D4—1461no—
1465C2×D4—1461no—
1466C2×D4—1461no—
1467C2×D4—1461no—
1468C2×D4—1461no—
1469C2×D4—1461no—
1470C2×D4—1462no—
1471C2×D4—1461no—
1472C2×D4—1461no—
1473C2×D4—1461no—
1474C2×D4—1461no—
1475C2×D4—1461no—
1476C2×D4—1461no—
1477C2×D4—1461no—
1478C2×D4—1461no—
1479C2×D4—1461no—
1480C2×D4D4×D7311yescharacteristic
1481C2×D4C23×D7311yescharacteristic
1482C2×D4C23×D7311yescharacteristic
1483C22×C4—21no—
1484C22×C4—21no—
1485C22×C4—21no—
1486C22×C4—21no—
1487C22×C4—21no—
1488C22×C4—2924no—
1489C22×C4—2924no—
1490C22×C4—2924no—
1491C22×C4—731no—
1492C22×C4—731no—
1493C22×C4—731no—
1494C22×C4—731no—
1495C22×C4—731no—
1496C22×C4—731no—
1497C22×C4—731no—
1498C22×C4—1461no—
1499C22×C4—1461no—
1500C22×C4—1461no—
1501C22×C4—1461no—
1502C22×C4—1461no—
1503C22×C4—1461no—
1504C22×C4—1461no—
1505C22×C4—1461no—
1506C22×C4—1461no—
1507C22×C4—1461no—
1508C22×C4—1461no—
1509C22×C4—1461no—
1510C22×C4—1461no—
1511C22×C4—1461no—
1512C22×C4—1461no—
1513C22×C4—1461no—
1514C22×C4C23×D7311yescharacteristic
1515C22×C4C23×D7311yescharacteristic
1516SD16—41no—
1517SD16—41no—
1518SD16—2921no—
1519SD16—2921no—
1520SD16—2921no—
1521SD16—2921no—
1522SD16—2921no—
1523SD16—2921no—
1524SD16—2921no—
1525SD16—2921no—
1526SD16—2921no—
1527SD16—2921no—
1528SD16—1462no—
1529SD16—1462no—
1530SD16—1462no—
1531SD16—1462no—
1532D8—41no—
1533D8—2921no—
1534D8—2921no—
1535D8—2921no—
1536D8—2921no—
1537D8—2921no—
1538D8—1462no—
1539D8—1462no—
1540M16—41no—
1541M16—2921no—
1542M16—2921no—
1543M16—2921no—
1544C2×C8—41no—
1545C2×C8—2921no—
1546C2×C8—731no—
1547C2×C8—731no—
1548C2×C8—731no—
1549C2×C8—731no—
1550C2×C8C23×D7311yescharacteristic
1551C2×C8C23×D7311yescharacteristic
1552C2×C8C23×D7311yescharacteristic
1553C2×C8C23×D7311yescharacteristic
1554C4⋊C4—21no—
1555C4⋊C4—21no—
1556C4⋊C4—21no—
1557C4⋊C4—21no—
1558C4⋊C4—21no—
1559C4⋊C4—731no—
1560C4⋊C4—731no—
1561C4⋊C4—731no—
1562C4⋊C4—731no—
1563C4⋊C4—731no—
1564C4⋊C4—731no—
1565C4⋊C4—731no—
1566C4⋊C4—1461no—
1567C4⋊C4—1461no—
1568C4⋊C4—1461no—
1569C4⋊C4—1461no—
1570C4⋊C4—1461no—
1571C4⋊C4—1461no—
1572C4⋊C4—1461no—
1573C4⋊C4—1461no—
1574C4⋊C4—1461no—
1575C4⋊C4—1461no—
1576C4⋊C4—1461no—
1577C4⋊C4—1461no—
1578C4⋊C4—1461no—
1579C4⋊C4—1461no—
1580C4⋊C4—1461no—
1581C4⋊C4—1461no—
1582C4⋊C4—1461no—
1583C4⋊C4—1461no—
1584C4⋊C4D4×D7311yescharacteristic
1585C4⋊C4C23×D7311yescharacteristic
1586C4⋊C4C23×D7311yescharacteristic
1587C4⋊C4C23×D7311yescharacteristic
1588C4⋊C4C23×D7311yescharacteristic
1589C22⋊C4—21no—
1590C22⋊C4—21no—
1591C22⋊C4—21no—
1592C22⋊C4—21no—
1593C22⋊C4—21no—
1594C22⋊C4—21no—
1595C22⋊C4—21no—
1596C22⋊C4—731no—
1597C22⋊C4—731no—
1598C22⋊C4—731no—
1599C22⋊C4—731no—
1600C22⋊C4—1461no—
1601C22⋊C4—1461no—
1602C22⋊C4—1461no—
1603C22⋊C4—1461no—
1604C22⋊C4—1461no—
1605C22⋊C4—1461no—
1606C22⋊C4—1461no—
1607C22⋊C4—1461no—
1608C22⋊C4—1461no—
1609C22⋊C4—1461no—
1610C22⋊C4—1461no—
1611C22⋊C4—1461no—
1612C22⋊C4—1461no—
1613C22⋊C4—1461no—
1614C22⋊C4—1461no—
1615C22⋊C4—1461no—
1616C22⋊C4—1461no—
1617C22⋊C4—1461no—
1618C22⋊C4—1461no—
1619C22⋊C4—1461no—
1620C22⋊C4—1461no—
1621C22⋊C4—1461no—
1622C22⋊C4—1461no—
1623C22⋊C4—1461no—
1624C22⋊C4—1461no—
1625C22⋊C4D4×D7311yescharacteristic
1626C22⋊C4D4×D7311yescharacteristic
1627C42—21no—
1628C42—731no—
1629C42—731no—
1630C42—731no—
1631C42—731no—
1632C42—731no—
1633C42—731no—
1634C42—731no—
1635C42—731no—
1636C42—731no—
1637C42—1461no—
1638C42—1461no—
1639C42—1461no—
1640C42C23×D7311yescharacteristic
1641C23—21no—
1642C23—21no—
1643C23—2922no—
1644C23—2922no—
1645C23—2922no—
1646C23—2922no—
1647C23—2922no—
1648C23—2922no—
1649C23—5841no—
1650C23—5841no—
1651C23—5841no—
1652C23—731no—
1653C23—1461no—
1654C23—1461no—
1655C23—1461no—
1656C23—1461no—
1657C23C2×D4×D7311yescharacteristic
1658C23C2×D4×D7311yescharacteristic
1659Q8—21no—
1660Q8—21no—
1661Q8—21no—
1662Q8—21no—
1663Q8—42no—
1664Q8—81no—
1665Q8—2922no—
1666Q8—2922no—
1667Q8—2922no—
1668Q8—5841no—
1669Q8—1462no—
1670Q8—1461no—
1671Q8—1461no—
1672Q8—1461no—
1673Q8—1461no—
1674D4—22no—
1675D4—21no—
1676D4—21no—
1677D4—21no—
1678D4—21no—
1679D4—42no—
1680D4—42no—
1681D4—42no—
1682D4—81no—
1683D4—2922no—
1684D4—2922no—
1685D4—2922no—
1686D4—2922no—
1687D4—2922no—
1688D4—2922no—
1689D4—2922no—
1690D4—2922no—
1691D4—2922no—
1692D4—2922no—
1693D4—2922no—
1694D4—2922no—
1695D4—2922no—
1696D4—5841no—
1697D4—5841no—
1698D4—5841no—
1699D4—5841no—
1700D4—5841no—
1701D4—5841no—
1702D4—732no—
1703D4—1462no—
1704D4—1462no—
1705D4—1461no—
1706D4—1461no—
1707D4—1461no—
1708D4—1461no—
1709D4—1461no—
1710D4—1461no—
1711D4—1461no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—21no—
1717C2×C4—21no—
1718C2×C4—21no—
1719C2×C4—21no—
1720C2×C4—21no—
1721C2×C4—21no—
1722C2×C4—42no—
1723C2×C4—42no—
1724C2×C4—42no—
1725C2×C4—81no—
1726C2×C4—81no—
1727C2×C4—2922no—
1728C2×C4—2921no—
1729C2×C4—2922no—
1730C2×C4—2922no—
1731C2×C4—2922no—
1732C2×C4—2922no—
1733C2×C4—2922no—
1734C2×C4—2922no—
1735C2×C4—2922no—
1736C2×C4—2922no—
1737C2×C4—2922no—
1738C2×C4—2922no—
1739C2×C4—2922no—
1740C2×C4—2921no—
1741C2×C4—2921no—
1742C2×C4—5841no—
1743C2×C4—5841no—
1744C2×C4—5841no—
1745C2×C4—5841no—
1746C2×C4—731no—
1747C2×C4—731no—
1748C2×C4—734no—
1749C2×C4—731no—
1750C2×C4—731no—
1751C2×C4—731no—
1752C2×C4—731no—
1753C2×C4—731no—
1754C2×C4—1462no—
1755C2×C4—1461no—
1756C2×C4—1461no—
1757C2×C4—1461no—
1758C2×C4—1461no—
1759C2×C4—1462no—
1760C2×C4—1461no—
1761C2×C4—1461no—
1762C2×C4C2×D4×D7311yescharacteristic
1763C2×C4C2×D4×D7311yescharacteristic
1764C2×C4C2×D4×D7311yescharacteristic
1765C2×C4C2×D4×D7311yescharacteristic
1766C2×C4C24×D7311yescharacteristic
1767C8—21no—
1768C8—21no—
1769C8—21no—
1770C8—21no—
1771C8—1461no—
1772C8—1461no—
1773C8—1461no—
1774C8—1461no—
1775C22—21no—
1776C22—21no—
1777C22—21no—
1778C22—21no—
1779C22—21no—
1780C22—41no—
1781C22—41no—
1782C22—41no—
1783C22—41no—
1784C22—41no—
1785C22—41no—
1786C22—2921no—
1787C22—2921no—
1788C22—2921no—
1789C22—2921no—
1790C22—2921no—
1791C22—2921no—
1792C22—2921no—
1793C22—2921no—
1794C22—2921no—
1795C22—2921no—
1796C22—2921no—
1797C22—5844no—
1798C22—5844no—
1799C22—5844no—
1800C22—1461no—
1801C22—1462no—
1802C22—1461no—
1803C22—1461no—
1804C22AGL(1,ℤ/8)×D7312yes—
1805C22C22×D4×D7311yescharacteristic
1806C4—21no—
1807C4—21no—
1808C4—21no—
1809C4—21no—
1810C4—41no—
1811C4—41no—
1812C4—41no—
1813C4—41no—
1814C4—41no—
1815C4—41no—
1816C4—2921no—
1817C4—2921no—
1818C4—2921no—
1819C4—2921no—
1820C4—732no—
1821C4—732no—
1822C4—1461no—
1823C4—1461no—
1824C4—1461no—
1825C4—1461no—
1826C4—1461no—
1827C4H(5,𝔽2)×D7311yescharacteristic
1828C4#1798942311yescharacteristic
1829C2—22no—
1830C2—41no—
1831C2—81no—
1832C2—81no—
1833C2—2922no—
1834C2—2921no—
1835C2—5841no—
1836C2—5841no—
1837C2—5841no—
1838C2#2262359411yescharacteristic
1839C2C2×AGL(1,ℤ/8)×D7311yescharacteristic
1840C2#2262471611yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3308C2
socleC22×C73C23×D4
hypercenter#3308D73
hypocenterC73#61962
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3308

Complements

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

NH ≅ G/Ntype
1. #22623837C2semidirect
2. #22623418C2semidirect
3. #22622954C2semidirect
4. #22622952C2semidirect
5. #22622652C2semidirect
6. #22622646C2semidirect
7. #22622234C2semidirect
8. #22622232C2semidirect
9. #22621920C2semidirect
10. #22621918C2semidirect
11. #22621916C2semidirect
12. #22621528C2semidirect
13. #22621524C2semidirect
14. #22621431C2semidirect
15. #22621427C2semidirect
16. #22621423C2semidirect
17. #22621419C2semidirect
18. #22621317C2semidirect
19. #22621313C2semidirect
20. #22621237C2semidirect
21. #22620927C2semidirect
22. #22620923C2semidirect
23. #22620854C2semidirect
24. #22620028C2semidirect
25. #22620027C2semidirect
26. #22619928C2semidirect
27. #22619394C2semidirect
28. #22619393C2semidirect
29. C2×#17988791C2semidirect
30. #22619043C2semidirect
31. C73×#3308C2semidirect
39. #17989309C22semidirect
40. #17989306C22semidirect
47. #17989248C22semidirect
49. #17989246C22semidirect
50. #17989243C22semidirect
51. #17989239C22semidirect
54. #17989236C22semidirect
64. #17989141C22semidirect
65. #17989139C22semidirect
67. #17989136C22semidirect
68. #17989133C22semidirect
71. #17989132C22semidirect
72. C2×#14556589C22semidirect
81. #17988977C22semidirect
82. #17988976C22semidirect
83. #17988975C22semidirect
84. #17988973C22semidirect
85. #17988958C22semidirect
86. #17988958C22semidirect
87. #17988949C22semidirect
88. #17988948C22semidirect
89. #17988945C22semidirect
90. #17988936C22semidirect
91. #17988936C22semidirect
92. #17988924C22semidirect
93. #17988922C22semidirect
94. #17988921C22semidirect
95. #17988900C22semidirect
96. #17988881C22semidirect
97. #17988880C22semidirect
98. #17988879C22semidirect
100. #17988866C22semidirect
101. #17988866C22semidirect
102. #17988866C22semidirect
103. #17988865C22semidirect
104. #17988865C22semidirect
105. #17988836C22semidirect
106. #17988836C22semidirect
107. #17988835C22semidirect
108. #17988834C22semidirect
109. #17988834C22semidirect
110. #17988833C22semidirect
111. #17988831C22semidirect
112. #17988823C22semidirect
113. #17988821C22semidirect
114. #17988821C22semidirect
116. #17988805C22semidirect
118. #17988802C22semidirect
120. #17988801C22semidirect
126. #17988791C22semidirect
127. #17988791C22semidirect
128. #17988791C22semidirect
129. #17988791C22semidirect
130. #17988791C22semidirect
131. #17988791C22semidirect
132. #17988790C22semidirect
133. #17988790C22semidirect
134. #17988788C22semidirect
135. #17988787C22semidirect
136. #17988786C22semidirect
137. #17988785C22semidirect
139. #17988781C22semidirect
140. #17988781C22semidirect
141. #17988781C22semidirect
142. #17988780C22semidirect
143. #17988780C22semidirect
148. #17988735C22semidirect
149. #17988735C22semidirect
150. #17988734C22semidirect
151. #17988733C22semidirect
152. #17988733C22semidirect
153. #17988732C22semidirect
154. #17988730C22semidirect
155. #17988728C22semidirect
156. #17988726C22semidirect
157. #17988725C22semidirect
160. #17988716C22semidirect
161. #17988715C22semidirect
163. #17988690C22semidirect
165. #17988687C22semidirect
167. #17988686C22semidirect
170. #17988669C22semidirect
172. #17988667C22semidirect
173. #17988663C22semidirect
174. #17988662C22semidirect
175. #17988659C22semidirect
176. #17988658C22semidirect
177. #17988655C22semidirect
178. #17988642C22semidirect
179. #17988641C22semidirect
180. #17988637C22semidirect
181. #17988610C22semidirect
182. #17988609C22semidirect
183. C2×#14556520C22semidirect
184. #17988587C22semidirect
185. #17988586C22semidirect
186. #17988585C22semidirect
187. C2×#14556514C22semidirect
188. #548×C73C22semidirect
190. #489×C73C22semidirect
191. #484×C73C22semidirect
192. #480×C73C22semidirect
193. #477×C73C22semidirect
194. #468×C73C22semidirect
195. #466×C73C22semidirect
196. #463×C73C22semidirect
197. #449×C73C22semidirect
198. #448×C73C22semidirect
199. #440×C73C22semidirect
200. #435×C73C22semidirect
201. #417×C73C22semidirect
202. C2×#103×C73C22semidirect
798. C2×Dic73AGL(1,ℤ/8)semidirect
932. #3308D73semidirect
952. C73#61962semidirect
972. #548C2×D73semidirect
1013. #489C2×D73semidirect
1019. #484C2×D73semidirect
1021. #480C2×D73semidirect
1025. #477C2×D73semidirect
1039. #468C2×D73semidirect
1043. #466C2×D73semidirect
1051. #463C2×D73semidirect
1085. #449C2×D73semidirect
1089. #448C2×D73semidirect
1101. #440C2×D73semidirect
1111. #435C2×D73semidirect
1121. #417C2×D73semidirect
1123. C2×#103C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226238372
#226234182
#226229542
#226229522
#226226522
#226226462
#226222342
#226222322
#226219202
#226219182
#226219162
#226215282
#226215242
#226214312
#226214272
#226214232
#226214192
#226213172
#226213132
#226212372
#226209272
#226209232
#226208542
#226200282
#226200272
#226199282
#226193942
#226193932
C2×#179887912
#226190432
C73×#33082
#6196273