Finite Group Databasebeta

← #33978994

Subgroups — #33978994

Order 18688.

1870 conjugacy classes of subgroups.

The subgroup lattice has 1772 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623892C211yesmaximal, characteristic, complemented
2#22623524C211yesmaximal, characteristic, complemented
3#22623021C211yesmaximal, characteristic, complemented
4#22622999C211yesmaximal, characteristic, complemented
5#22622775C211yesmaximal, characteristic, complemented
6#22622701C211yesmaximal, characteristic, complemented
7#22622104C211yesmaximal, characteristic, complemented
8#22622074C211yesmaximal, characteristic, complemented
9#22621999C211yesmaximal, characteristic, complemented
10#22621969C211yesmaximal, characteristic, complemented
11#22621835C211yesmaximal, characteristic, complemented
12#22621783C211yesmaximal, characteristic, complemented
13#22621674C211yesmaximal, characteristic, complemented
14#22621643C211yesmaximal, characteristic, complemented
15#22621521C211yesmaximal, characteristic, complemented
16#22621506C211yesmaximal, characteristic, complemented
17#22621476C211yesmaximal, characteristic, complemented
18#22621431C211yesmaximal, characteristic, complemented
19#22621332C211yesmaximal, characteristic, complemented
20#22621283C211yesmaximal, characteristic, complemented
21#22621258C211yesmaximal, characteristic, complemented
22#22620970C211yesmaximal, characteristic, complemented
23#22620920C211yesmaximal, characteristic, complemented
24#22620898C211yesmaximal, characteristic, complemented
25#22620104C211yesmaximal, characteristic, complemented
26#22620042C211yesmaximal, characteristic, complemented
27#22619951C211yesmaximal, characteristic, complemented
28#22619426C211yesmaximal, characteristic, complemented
29#22619388C211yesmaximal, characteristic, complemented
30C2×#17988810C211yesmaximal, characteristic, complemented
31C73×#2990C211yesmaximal, characteristic, complemented
32C2×#14556624C2211yescharacteristic, complemented
33C2×#14556619C2211yescharacteristic
34C2×#14556613C2211yescharacteristic, complemented
35C2×#14556613C2211yescharacteristic, complemented
36C22×Dic292C2211yescharacteristic, complemented
37C22×#11924017C2211yescharacteristic
38#17989322C2211yescharacteristic
39#17989322C2211yescharacteristic, complemented
40#17989320—21no—
41#17989315C2211yescharacteristic, complemented
42#17989310C2211yescharacteristic
43#17989309—21no—
44#17989307C2211yescharacteristic, complemented
45#17989300—21no—
46#17989286—21no—
47#17989286—21no—
48#17989283C2211yescharacteristic
49#17989283C2211yescharacteristic, complemented
50#17989261—21no—
51#17989261—21no—
52#17989258C2211yescharacteristic, complemented
53D4×Dic146C2211yescharacteristic
54#17989246C2211yescharacteristic
55#17989246C2211yescharacteristic
56#17989246C2211yescharacteristic
57#17989246C2211yescharacteristic, complemented
58#17989233C2211yescharacteristic
59#17989233C2211yescharacteristic
60#17989225—21no—
61D4×D292C2211yescharacteristic
62#17989209—21no—
63#17989170—21no—
64#17989170—21no—
65#17989137C2211yescharacteristic
66#17989137C2211yescharacteristic, complemented
67#17989133—21no—
68#17989121C2211yescharacteristic
69#17989121C2211yescharacteristic
70#17989121C2211yescharacteristic
71#17989121C2211yescharacteristic, complemented
72#17989121C2211yescharacteristic, complemented
73#17989115—21no—
74#17989115—21no—
75C2×#14556579C2211yescharacteristic
76C2×#14556579C2211yescharacteristic
77#17989059—21no—
78C4×#11924028C2211yescharacteristic, complemented
79C4×#11924028C2211yescharacteristic, complemented
80#17989055—21no—
81C2×C4×Dic146C2211yescharacteristic, complemented
82#17988981C2211yescharacteristic, complemented
83#17988976C2211yescharacteristic
84#17988976C2211yescharacteristic
85#17988976C2211yescharacteristic, complemented
86#17988971C2211yescharacteristic
87#17988971C2211yescharacteristic, complemented
88#17988956C2211yescharacteristic, complemented
89#17988952C2211yescharacteristic
90#17988947C2211yescharacteristic
91#17988947C2211yescharacteristic, complemented
92#17988942C2211yescharacteristic
93#17988942C2211yescharacteristic, complemented
94#17988929C2211yescharacteristic, complemented
95#17988929C2211yescharacteristic, complemented
96#17988923C2211yescharacteristic, complemented
97#17988912C2211yescharacteristic
98#17988912C2211yescharacteristic
99#17988906C2211yescharacteristic
100#17988895C2211yescharacteristic, complemented
101#17988895C2211yescharacteristic, complemented
102#17988895C2211yescharacteristic, complemented
103#17988895C2211yescharacteristic, complemented
104#17988888C2211yescharacteristic
105#17988888C2211yescharacteristic, complemented
106#17988888C2211yescharacteristic, complemented
107#17988888C2211yescharacteristic, complemented
108#17988883C2211yescharacteristic, complemented
109#17988878C2211yescharacteristic, complemented
110#17988845C2211yescharacteristic, complemented
111#17988840C2211yescharacteristic
112#17988833C2211yescharacteristic
113#17988833C2211yescharacteristic, complemented
114#17988828C2211yescharacteristic, complemented
115#17988823C2211yescharacteristic
116#17988823C2211yescharacteristic
117#17988823C2211yescharacteristic
118#17988816C2211yescharacteristic
119#17988816C2211yescharacteristic, complemented
120#17988816C2211yescharacteristic, complemented
121#17988816C2211yescharacteristic, complemented
122#17988810C2211yescharacteristic
123#17988810C2211yescharacteristic
124#17988810C2211yescharacteristic
125#17988810C2211yescharacteristic
126#17988810C2211yescharacteristic
127#17988810C2211yescharacteristic, complemented
128#17988810C2211yescharacteristic, complemented
129#17988810C2211yescharacteristic, complemented
130#17988810C2211yescharacteristic, complemented
131#17988810C2211yescharacteristic, complemented
132#17988810C2211yescharacteristic, complemented
133#17988810C2211yescharacteristic, complemented
134#17988810C2211yescharacteristic, complemented
135#17988810C2211yescharacteristic, complemented
136#17988803C2211yescharacteristic
137#17988803C2211yescharacteristic
138#17988803C2211yescharacteristic
139#17988803C2211yescharacteristic
140#17988803C2211yescharacteristic, complemented
141#17988803C2211yescharacteristic, complemented
142#17988803C2211yescharacteristic, complemented
143#17988803C2211yescharacteristic, complemented
144#17988803C2211yescharacteristic, complemented
145#17988803C2211yescharacteristic, complemented
146#17988798C2211yescharacteristic, complemented
147#17988793C2211yescharacteristic, complemented
148#17988788C2211yescharacteristic
149#17988788C2211yescharacteristic, complemented
150#17988783C2211yescharacteristic
151#17988783C2211yescharacteristic, complemented
152#17988751C2211yescharacteristic, complemented
153#17988751C2211yescharacteristic, complemented
154#17988751C2211yescharacteristic, complemented
155#17988751C2211yescharacteristic, complemented
156#17988745C2211yescharacteristic, complemented
157#17988745C2211yescharacteristic, complemented
158#17988740C2211yescharacteristic
159#17988734C2211yescharacteristic
160#17988734C2211yescharacteristic
161#17988734C2211yescharacteristic, complemented
162#17988734C2211yescharacteristic, complemented
163#17988728C2211yescharacteristic
164#17988728C2211yescharacteristic, complemented
165#17988728C2211yescharacteristic, complemented
166#17988728C2211yescharacteristic, complemented
167#17988723C2211yescharacteristic
168#17988723C2211yescharacteristic
169#17988723C2211yescharacteristic
170#17988700C2211yescharacteristic
171#17988695C2211yescharacteristic, complemented
172#17988695C2211yescharacteristic, complemented
173#17988695C2211yescharacteristic, complemented
174#17988689C2211yescharacteristic
175#17988689C2211yescharacteristic, complemented
176#17988689C2211yescharacteristic, complemented
177#17988689C2211yescharacteristic, complemented
178C4×Dic292C2211yescharacteristic, complemented
179C4×#11924017C2211yescharacteristic, complemented
180C4×#11924017C2211yescharacteristic, complemented
181C4×D584C2211yescharacteristic, complemented
182#17988597C2211yescharacteristic, complemented
183#17988593C2211yescharacteristic
184#17988584C2211yescharacteristic, complemented
185#17988584C2211yescharacteristic, complemented
186C2×#14556516C2211yescharacteristic, complemented
187C2×#14556513C2211yescharacteristic
188C4×#41×C73C2211yescharacteristic
189#446×C73C2211yescharacteristic, complemented
190#446×C73C2211yescharacteristic, complemented
191#435×C73C2211yescharacteristic
192#435×C73C2211yescharacteristic
193#435×C73C2211yescharacteristic, complemented
194#435×C73C2211yescharacteristic, complemented
195C8×D4×C73C2211yescharacteristic, complemented
196C8×D4×C73C2211yescharacteristic, complemented
197#432×C73C2211yescharacteristic, complemented
198#432×C73C2211yescharacteristic, complemented
199#431×C73C2211yescharacteristic, complemented
200#423×C73C2211yescharacteristic, complemented
201C2×C4⋊C8×C73C2211yescharacteristic, complemented
202C2×C4⋊C8×C73C2211yescharacteristic, complemented
203C2×#11924028—21no—
204C2×#11924028C2311yescharacteristic
205C2×#11924028C2311yescharacteristic
206C2×#11924028C2311yescharacteristic
207C2×#11924028C2311yescharacteristic
208C22×Dic146C2311yescharacteristic
209C22×Dic146C2311yescharacteristic
210C22×Dic146C2311yescharacteristic
211C22×D292C2311yescharacteristic
212C22×D292C2311yescharacteristic
213C2×D4×D73—21no—
214#14556624—42no—
215#14556619—42no—
216#14556613—42no—
217#14556613—42no—
218C2×Dic292—42no—
219C2×Dic292C2311yescharacteristic
220C2×Dic292C2311yescharacteristic
221C2×Dic292C2311yescharacteristic
222C2×Dic292C2311yescharacteristic
223C2×Dic292C2311yescharacteristic
224C2×Dic292C2311yescharacteristic
225C2×#11924017—42no—
226C2×#11924017C2311yescharacteristic
227C2×#11924017C2311yescharacteristic
228C2×#11924017C2311yescharacteristic
229C2×#11924017C2311yescharacteristic
230C2×#11924017C2311yescharacteristic
231C2×#11924017C2311yescharacteristic
232C2×#11924017C2311yescharacteristic
233C2×#11924017C2311yescharacteristic
234C2×#11924017C2311yescharacteristic
235C2×#11924017C2311yescharacteristic
236C2×#11924017C2311yescharacteristic
237C2×#11924017C2311yescharacteristic
238C2×D584C2311yescharacteristic
239C2×D584C2311yescharacteristic
240C2×D584C2311yescharacteristic
241C2×D584C2311yescharacteristic
242C2×D584C2311yescharacteristic
243C2×D584C2311yescharacteristic
244#14556591C2311yescharacteristic
245#14556591C2311yescharacteristic
246#14556590—21no—
247#14556589—21no—
248#14556588C2311yescharacteristic
249#14556588C2311yescharacteristic
250#14556587—21no—
251#14556586—21no—
252#14556586—21no—
253#14556586—21no—
254#14556586—21no—
255#14556585—21no—
256#14556585—21no—
257#14556585—21no—
258#14556585—21no—
259#14556585—21no—
260#14556584—21no—
261#14556584—21no—
262#14556583C2311yescharacteristic
263#14556583C2311yescharacteristic
264#14556583C2311yescharacteristic
265#14556581—21no—
266#14556581—21no—
267#14556580—21no—
268#14556580—21no—
269#14556579—21no—
270#14556579—21no—
271#14556579—21no—
272#14556579—21no—
273#14556579—21no—
274#14556579C2311yescharacteristic
275#14556579C2311yescharacteristic
276#14556579C2311yescharacteristic
277#14556579C2311yescharacteristic
278#14556579C2311yescharacteristic
279#14556579C2311yescharacteristic
280#14556579C2311yescharacteristic
281#14556579C2311yescharacteristic
282#14556579C2311yescharacteristic
283#14556578—21no—
284#14556577—21no—
285#14556577—21no—
286#14556577—21no—
287#14556577—21no—
288#14556576—21no—
289#14556576—21no—
290#14556576—21no—
291#14556576—21no—
292#14556576—21no—
293#14556576—21no—
294#14556574—21no—
295#14556574—21no—
296#14556574—21no—
297#14556574—21no—
298#14556574—21no—
299#14556573—21no—
300#14556573—21no—
301#14556570C2311yescharacteristic
302#14556570C2311yescharacteristic
303#14556570C2311yescharacteristic
304#14556570C2311yescharacteristic
305#14556570C2311yescharacteristic
306#14556569—21no—
307#14556569—21no—
308#14556569—21no—
309#14556569—21no—
310#14556568—21no—
311#14556568—21no—
312#14556567—21no—
313#14556566—21no—
314#14556565—21no—
315#14556565—21no—
316#14556565—21no—
317#14556565C2311yescharacteristic
318#14556565C2311yescharacteristic
319#14556565C2311yescharacteristic
320#14556565C2311yescharacteristic
321#14556565C2311yescharacteristic
322#14556565C2311yescharacteristic
323#14556565C2311yescharacteristic
324#14556564—21no—
325#14556564—21no—
326#14556564—21no—
327#14556564—21no—
328#14556563—21no—
329#14556563—21no—
330#14556563—21no—
331#14556563—21no—
332#14556563—21no—
333#14556563—21no—
334#14556561—21no—
335#14556561—21no—
336#14556559—21no—
337#14556559—21no—
338C4×Dic146—21no—
339C4×Dic146—21no—
340C4×Dic146C2311yescharacteristic
341C4×Dic146C2311yescharacteristic
342C4×Dic146C2311yescharacteristic
343C4×Dic146C2311yescharacteristic
344C4×Dic146C2311yescharacteristic
345C4×Dic146C2311yescharacteristic
346C4×Dic146C2311yescharacteristic
347C4×Dic146C2311yescharacteristic
348C4×Dic146C2311yescharacteristic
349#14556556—21no—
350#14556556—21no—
351C4×D292—21no—
352C4×D292—21no—
353C4×D292—21no—
354C4×D292C2311yescharacteristic
355C4×D292C2311yescharacteristic
356C4×D292C2311yescharacteristic
357C4×D292C2311yescharacteristic
358C4×D292C2311yescharacteristic
359C4×D292C2311yescharacteristic
360C4×D292C2311yescharacteristic
361D4×Dic73—21no—
362#14556553—21no—
363#14556553—21no—
364#14556553—21no—
365C4×C22⋊D73—21no—
366C4×C22⋊D73—21no—
367C4×C22⋊D73—21no—
368C4×C22⋊D73—21no—
369C4×C22⋊D73—21no—
370C4×C22⋊D73—21no—
371C4×C22⋊D73—21no—
372C4×C22⋊D73—21no—
373C4×C22⋊D73—21no—
374#14556551—21no—
375#14556551—21no—
376#14556551—21no—
377#14556551—21no—
378#14556551—21no—
379#14556551—21no—
380#14556550C2311yescharacteristic
381#14556550C2311yescharacteristic
382#14556549—21no—
383#14556548—21no—
384#14556548—21no—
385#14556548—21no—
386#14556548—21no—
387#14556548—21no—
388#14556548—21no—
389#14556548—21no—
390C2×C4⋊Dic73C2311yescharacteristic
391C2×#11924007—21no—
392C2×#11924005—21no—
393C2×#11924005—21no—
394C2×#11924005—21no—
395C2×#11924005—21no—
396C22⋊C4×D73—21no—
397C22⋊C4×D73—21no—
398C2×C4×Dic73—21no—
399C42×D73—21no—
400C42×D73—21no—
401#14556525C2311yescharacteristic
402#14556525C2311yescharacteristic
403#14556525C2311yescharacteristic
404#14556525C2311yescharacteristic
405#14556523C2311yescharacteristic
406#14556523C2311yescharacteristic
407#14556523C2311yescharacteristic
408#14556523C2311yescharacteristic
409#14556516C2311yescharacteristic
410#14556516C2311yescharacteristic
411#14556516C2311yescharacteristic
412#14556516C2311yescharacteristic
413#14556516C2311yescharacteristic
414#14556516C2311yescharacteristic
415#14556516C2311yescharacteristic
416#14556516C2311yescharacteristic
417#14556516C2311yescharacteristic
418#14556516C2311yescharacteristic
419#14556516C2311yescharacteristic
420#14556516C2311yescharacteristic
421#14556516C2311yescharacteristic
422#14556516C2311yescharacteristic
423#14556516C2311yescharacteristic
424#14556516C2311yescharacteristic
425#14556513C2311yescharacteristic
426#14556513C2311yescharacteristic
427#14556513C2311yescharacteristic
428#14556513C2311yescharacteristic
429#14556513C2311yescharacteristic
430#14556513C2311yescharacteristic
431#14556513C2311yescharacteristic
432#14556513C2311yescharacteristic
433#14556513C2311yescharacteristic
434#14556513C2311yescharacteristic
435#14556513C2311yescharacteristic
436#14556513C2311yescharacteristic
437#14556513C2311yescharacteristic
438#14556513C2311yescharacteristic
439#14556513C2311yescharacteristic
440#14556513C2311yescharacteristic
441C2×#41×C73D411yescharacteristic
442C2×M16×C73C2311yescharacteristic
443C2×M16×C73C2311yescharacteristic
444C22×C8×C73C2311yescharacteristic
445C22×C8×C73C2311yescharacteristic
446C22×C8×C73C2311yescharacteristic
447C22×C8×C73C2311yescharacteristic
448C4×Q8×C73D411yescharacteristic
449C4×Q8×C73C2311yescharacteristic
450C4×D4×C73D411yescharacteristic
451C4×D4×C73D411yescharacteristic
452C4×D4×C73D411yescharacteristic
453C4×D4×C73C2311yescharacteristic
454C4×D4×C73C2311yescharacteristic
455C4×D4×C73C2311yescharacteristic
456#117×C73D411yescharacteristic
457#117×C73D411yescharacteristic
458#117×C73D411yescharacteristic
459C2×C42×C73C2311yescharacteristic
460C2×C42×C73C2311yescharacteristic
461C2×C42×C73C2311yescharacteristic
462C4⋊C8×C73C2311yescharacteristic
463C4⋊C8×C73C2311yescharacteristic
464C4⋊C8×C73C2311yescharacteristic
465C4⋊C8×C73C2311yescharacteristic
466C4⋊C8×C73C2311yescharacteristic
467C4⋊C8×C73C2311yescharacteristic
468C4⋊C8×C73C2311yescharacteristic
469C4⋊C8×C73C2311yescharacteristic
470C4⋊C8×C73C2311yescharacteristic
471C4⋊C8×C73C2311yescharacteristic
472C22⋊C8×C73C2311yescharacteristic
473C22⋊C8×C73C2311yescharacteristic
474C22⋊C8×C73C2311yescharacteristic
475C22⋊C8×C73C2311yescharacteristic
476C22⋊C8×C73C2311yescharacteristic
477C22⋊C8×C73C2311yescharacteristic
478#97×C73C2311yescharacteristic
479#97×C73C2311yescharacteristic
480#97×C73C2311yescharacteristic
481#97×C73C2311yescharacteristic
482C4×C8×C73C2311yescharacteristic
483C4×C8×C73C2311yescharacteristic
484C23×D73—21no—
485C23×D73—21no—
486#11924028—22no—
487#11924028—22no—
488#11924028—41no—
489#11924028—41no—
490#11924028—41no—
491#11924028—41no—
492#11924028—41no—
493#11924028—41no—
494#11924028—44no—
495C2×Dic146—22no—
496C2×Dic146—21no—
497C2×Dic146—21no—
498C2×Dic146—21no—
499C2×Dic146—21no—
500C2×Dic146—41no—
501C2×Dic146—41no—
502C2×Dic146—41no—
503C2×Dic146—41no—
504C2×Dic146—41no—
505C2×Dic146C2411yescharacteristic
506C2×Dic146C2411yescharacteristic
507C2×Dic146C2411yescharacteristic
508C2×Dic146C2411yescharacteristic
509C2×Dic146C2411yescharacteristic
510C2×D292—21no—
511C2×D292—21no—
512C2×D292—21no—
513C2×D292—21no—
514C2×D292—21no—
515C2×D292—21no—
516C2×D292—41no—
517C2×D292—41no—
518C2×D292—41no—
519C2×D292—41no—
520C2×D292C2411yescharacteristic
521C2×D292C2411yescharacteristic
522C2×D292C2411yescharacteristic
523C2×D292C2411yescharacteristic
524C2×D292C2411yescharacteristic
525C2×C22⋊D73—21no—
526C2×C22⋊D73—21no—
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—
536D4×D73—44no—
537C22×Dic73—21no—
538C22×Dic73—21no—
539C22×Dic73—21no—
540C22×Dic73—21no—
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×D73—21no—
551C2×C4×D73—21no—
552Dic292—22no—
553Dic292—22no—
554Dic292—22no—
555Dic292—41no—
556Dic292—41no—
557Dic292—41no—
558#11924017—22no—
559#11924017—22no—
560#11924017—22no—
561#11924017—41no—
562#11924017—41no—
563#11924017—41no—
564#11924017—41no—
565#11924017—41no—
566#11924017—41no—
567#11924017—41no—
568#11924017—41no—
569#11924017—41no—
570D584—41no—
571D584—41no—
572D584—41no—
573D584—41no—
574D584—41no—
575D584—41no—
576C4⋊Dic73—21no—
577C4⋊Dic73—21no—
578C4⋊Dic73—21no—
579C4⋊Dic73—21no—
580C4⋊Dic73C2411yescharacteristic
581C4⋊Dic73C2411yescharacteristic
582C4⋊Dic73C2411yescharacteristic
583C4⋊Dic73C2411yescharacteristic
584C4⋊Dic73C2411yescharacteristic
585C4⋊Dic73C2411yescharacteristic
586#11924007—21no—
587#11924007—21no—
588#11924007—21no—
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—
606C22⋊Dic73—21no—
607C22⋊Dic73—21no—
608C22⋊Dic73—21no—
609C22⋊Dic73—21no—
610C22⋊Dic73—21no—
611C22⋊Dic73—21no—
612C22⋊Dic73—21no—
613#11924005—21no—
614#11924005—21no—
615#11924005—21no—
616#11924005—21no—
617#11924005—21no—
618#11924005—21no—
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#11924005—21no—
639#11924005—21no—
640#11924005—21no—
641#11924005—21no—
642#11924005—21no—
643#11924005—21no—
644#11924005—21no—
645C4×Dic73—21no—
646C4×Dic73—21no—
647C4×Dic73—21no—
648C4×Dic73—21no—
649C4×Dic73—21no—
650C4×Dic73—21no—
651C4×Dic73—21no—
652C4×Dic73—21no—
653C4×Dic73—21no—
654C4×Dic73—21no—
655C4×Dic73—21no—
656#41×C73—42no—
657C2×Q8×C73C2×D411yescharacteristic
658C2×D4×C73C2×D411yescharacteristic
659C2×D4×C73C2×D411yescharacteristic
660C2×D4×C73C2×D411yescharacteristic
661C22×C4×C73C2×D411yescharacteristic
662C22×C4×C73C2×D411yescharacteristic
663C22×C4×C73C2×D411yescharacteristic
664C22×C4×C73C2×D411yescharacteristic
665C22×C4×C73C2×D411yescharacteristic
666C22×C4×C73C2×D411yescharacteristic
667C22×C4×C73C2411yescharacteristic
668C22×C4×C73C2411yescharacteristic
669C22×C4×C73C2411yescharacteristic
670M16×C73—41no—
671M16×C73—41no—
672C2×C8×C73—41no—
673C2×C8×C73—41no—
674C2×C8×C73—41no—
675C2×C8×C73—41no—
676C2×C8×C73C2411yescharacteristic
677C2×C8×C73C2411yescharacteristic
678C2×C8×C73C2411yescharacteristic
679C2×C8×C73C2411yescharacteristic
680C2×C8×C73C2411yescharacteristic
681C2×C8×C73C2411yescharacteristic
682C2×C8×C73C2411yescharacteristic
683C2×C8×C73C2411yescharacteristic
684C4⋊C4×C73C2×D411yescharacteristic
685C4⋊C4×C73C2×D411yescharacteristic
686C4⋊C4×C73C2×D411yescharacteristic
687C4⋊C4×C73C2×D411yescharacteristic
688C4⋊C4×C73C2×D411yescharacteristic
689C4⋊C4×C73C2×D411yescharacteristic
690C22⋊C4×C73C2×D411yescharacteristic
691C22⋊C4×C73C2×D411yescharacteristic
692C22⋊C4×C73C2×D411yescharacteristic
693C22⋊C4×C73C2×D411yescharacteristic
694C22⋊C4×C73C2×D411yescharacteristic
695C22⋊C4×C73C2×D411yescharacteristic
696C42×C73C2×D411yescharacteristic
697C42×C73C2×D411yescharacteristic
698C42×C73C2×D411yescharacteristic
699C42×C73C2×D411yescharacteristic
700C42×C73C2×D411yescharacteristic
701C42×C73C2×D411yescharacteristic
702C42×C73C2411yescharacteristic
703C42×C73C2411yescharacteristic
704C42×C73C2411yescharacteristic
705C42×C73C2411yescharacteristic
706C23×C73C22×D411yescharacteristic
707C23×C73C22×D411yescharacteristic
708C23×C73C22×D411yescharacteristic
709C22×D73—21no—
710C22×D73—21no—
711C22×D73—21no—
712C22×D73—21no—
713C22×D73—21no—
714C22×D73—42no—
715C22×D73—42no—
716C22×D73—81no—
717C22×D73—81no—
718C22×D73—81no—
719C22×D73—81no—
720Q8×C73—41no—
721D4×C73—22no—
722D4×C73—22no—
723D4×C73—41no—
724C2×C4×C73—22no—
725C2×C4×C73—21no—
726C2×C4×C73—21no—
727C2×C4×C73—21no—
728C2×C4×C73—21no—
729C2×C4×C73—21no—
730C2×C4×C73—21no—
731C2×C4×C73—41no—
732C2×C4×C73—41no—
733C2×C4×C73—41no—
734C2×C4×C73—41no—
735C2×C4×C73—41no—
736C2×C4×C73C22×D411yescharacteristic
737C2×C4×C73C22×D411yescharacteristic
738C2×C4×C73C22×D411yescharacteristic
739C2×C4×C73C22×D411yescharacteristic
740C2×C4×C73C22×D411yescharacteristic
741C2×C4×C73C22×D411yescharacteristic
742C2×C4×C73C22×D411yescharacteristic
743C2×C4×C73C22×D411yescharacteristic
744C2×C4×C73C22×D411yescharacteristic
745C2×C4×C73C22×D411yescharacteristic
746C2×C4×C73C22×D411yescharacteristic
747C2×C4×C73C2511yescharacteristic
748C22⋊D73—42no—
749C22⋊D73—42no—
750C22⋊D73—42no—
751C22⋊D73—42no—
752C22⋊D73—42no—
753C22⋊D73—42no—
754C22⋊D73—81no—
755C22⋊D73—81no—
756C22⋊D73—81no—
757C22⋊D73—81no—
758C22⋊D73—81no—
759C2×Dic73—21no—
760C2×Dic73—21no—
761C2×Dic73—21no—
762C2×Dic73—21no—
763C2×Dic73—21no—
764C2×Dic73—21no—
765C2×Dic73—21no—
766C2×Dic73—21no—
767C2×Dic73—21no—
768C2×Dic73—21no—
769C2×Dic73—21no—
770C2×Dic73—42no—
771C2×Dic73—81no—
772C2×Dic73—81no—
773C2×Dic73—81no—
774D292—21no—
775D292—21no—
776D292—21no—
777D292—21no—
778D292—21no—
779D292—21no—
780D292—21no—
781D292—21no—
782D292—21no—
783D292—21no—
784D292—42no—
785D292—42no—
786D292—81no—
787D292—81no—
788D292—81no—
789D292—81no—
790C4×D73—42no—
791C4×D73—42no—
792C4×D73—42no—
793C4×D73—42no—
794C4×D73—42no—
795C4×D73—81no—
796C4×D73—81no—
797C4×D73—81no—
798C4×D73—81no—
799C4×D73—81no—
800C4×D73—81no—
801Dic146—21no—
802Dic146—21no—
803Dic146—21no—
804Dic146—21no—
805Dic146—21no—
806Dic146—21no—
807Dic146—21no—
808Dic146—21no—
809Dic146—21no—
810Dic146—42no—
811Dic146—42no—
812Dic146—81no—
813Dic146—81no—
814Dic146H(5,𝔽2)12yes—
815C8×C73—21no—
816C8×C73—21no—
817C8×C73—21no—
818C8×C73—21no—
819C8×C73—21no—
820C8×C73—21no—
821C8×C73—21no—
822C8×C73—21no—
823C22×C73—21no—
824C22×C73—21no—
825C22×C73—21no—
826C22×C73—21no—
827C22×C73—21no—
828C22×C73—21no—
829C22×C73—21no—
830C22×C73—21no—
831C22×C73#57512yes—
832C22×C73C23×D411yescharacteristic
833C2×D73—41no—
834C2×D73—41no—
835C2×D73—41no—
836C2×D73—41no—
837C2×D73—41no—
838C2×D73—41no—
839C2×D73—41no—
840C2×D73—41no—
841C2×D73—41no—
842C2×D73—41no—
843C2×D73—41no—
844C2×D73—41no—
845C2×D73—41no—
846C2×D73—41no—
847C2×D73—41no—
848C2×D73—162no—
849C2×D73—162no—
850C4×C73—21no—
851C4×C73—21no—
852C4×C73—21no—
853C4×C73—21no—
854C4×C73—21no—
855C4×C73—21no—
856C4×C73—21no—
857C4×C73—21no—
858C4×C73—21no—
859C4×C73—21no—
860C4×C73—21no—
861C4×C73C2×H(5,𝔽2)11yescharacteristic
862C4×C73#58511yescharacteristic
863Dic73—22no—
864Dic73—41no—
865Dic73—41no—
866Dic73—41no—
867Dic73—41no—
868Dic73—41no—
869Dic73—41no—
870Dic73—41no—
871Dic73—41no—
872Dic73—41no—
873Dic73—41no—
874#61992—731nomaximal, Sylow
875C2×C73—22no—
876C2×C73—41no—
877C2×C73—41no—
878C2×C73#348811yescharacteristic
879C2×C73C2×#57511yescharacteristic
880C2×C73#358411yescharacteristic
881D73—81no—
882D73—81no—
883D73—81no—
884D73—81no—
885D73—81no—
886#3514—731no—
887#3480—731no—
888#3403—731no—
889#3401—731no—
890#3377—731no—
891#3371—731no—
892#3320—731no—
893#3318—731no—
894#3313—731no—
895#3311—731no—
896#3301—731no—
897#3297—731no—
898#3285—731no—
899#3282—731no—
900#3271—731no—
901#3270—731no—
902#3268—731no—
903#3265—731no—
904#3256—731no—
905#3250—731no—
906#3247—731no—
907#3219—731no—
908#3213—731no—
909#3211—731no—
910#3117—731no—
911#3111—731no—
912#3102—731no—
913#3040—731no—
914#3035—731no—
915C2×#464—731no—
916#2990D7311yescharacteristic, complemented
917C73#6199211yescharacteristic, complemented, Sylow
918C2×#137—731no—
919C2×AGL(1,ℤ/8)—731no—
920C2×#135—731no—
921C2×#135—731no—
922C22×Q16—731no—
923C22×SD16—731no—
924#559—731no—
925#559—731no—
926#559—1461no—
927#557—731no—
928#556—731no—
929#556—731no—
930#556—1461no—
931#555—1461no—
932#553—731no—
933#553—731no—
934#553—1461no—
935#553—1461no—
936#551—1461no—
937#551—1461no—
938#550—731no—
939D4×Q8—731no—
940#548—731no—
941#548—731no—
942#548—731no—
943#548—731no—
944#546—731no—
945#546—731no—
946#546—1461no—
947D42—731no—
948#542—1461no—
949#538—1461no—
950#538—1461no—
951#532—731no—
952#532—731no—
953#532—1461no—
954#529—731no—
955#529—731no—
956#529—731no—
957#529—731no—
958#529—731no—
959#529—1461no—
960#529—1461no—
961C2×#124—731no—
962C2×#124—731no—
963#518—1461no—
964C4×#41—731no—
965C4×#41—731no—
966C4×#41—1461no—
967C4×#41C2×D7311yescharacteristic
968C2×C4×Q8—731no—
969#497—731no—
970#496—731no—
971#496—731no—
972#496—731no—
973#495—731no—
974#495—731no—
975#491—731no—
976#490—731no—
977#489—731no—
978#489—731no—
979#488—731no—
980#488—731no—
981#485—731no—
982#485—731no—
983#484—731no—
984#482—731no—
985#482—731no—
986#481—731no—
987#479—731no—
988#479—731no—
989#479—731no—
990#479—731no—
991#478—731no—
992#478—731no—
993#478—731no—
994#478—731no—
995#477—731no—
996#476—731no—
997#470—731no—
998#469—731no—
999#468—731no—
1000#468—731no—
1001#467—731no—
1002#466—731no—
1003#466—731no—
1004#466—731no—
1005#465—731no—
1006#465—731no—
1007#465—731no—
1008#465—731no—
1009#464—731no—
1010#464—731no—
1011#464—731no—
1012#464—731no—
1013#464—731no—
1014#464—731no—
1015#464—731no—
1016#464—731no—
1017#464—731no—
1018#464—731no—
1019#464—731no—
1020#464—731no—
1021#464—731no—
1022#464—731no—
1023#463—731no—
1024#463—731no—
1025#463—731no—
1026#463—731no—
1027#463—731no—
1028#463—731no—
1029#463—731no—
1030#463—731no—
1031#463—731no—
1032#463—731no—
1033#462—731no—
1034#461—731no—
1035#460—731no—
1036#460—731no—
1037#459—731no—
1038#459—731no—
1039#452—731no—
1040#452—731no—
1041#452—731no—
1042#452—731no—
1043#451—731no—
1044#451—731no—
1045#450—731no—
1046#449—731no—
1047#449—731no—
1048#449—731no—
1049#449—731no—
1050#448—731no—
1051#448—731no—
1052#448—731no—
1053#448—731no—
1054#447—731no—
1055#447—731no—
1056#447—731no—
1057#446C2×D7311yescharacteristic, complemented
1058#446C2×D7311yescharacteristic, complemented
1059#442—731no—
1060#441—731no—
1061#441—731no—
1062#441—731no—
1063#440—731no—
1064#440—731no—
1065#440—731no—
1066#440—731no—
1067C4×Q16—731no—
1068C4×SD16—731no—
1069C4×SD16—731no—
1070C4×D8—731no—
1071#435C2×D7311yescharacteristic
1072#435C2×D7311yescharacteristic
1073#435C2×D7311yescharacteristic, complemented
1074#435C2×D7311yescharacteristic, complemented
1075C8×D4C2×D7311yescharacteristic, complemented
1076C8×D4C2×D7311yescharacteristic, complemented
1077#432C2×D7311yescharacteristic, complemented
1078#432C2×D7311yescharacteristic, complemented
1079#431C2×D7311yescharacteristic, complemented
1080#423C2×D7311yescharacteristic, complemented
1081C2×C4⋊C8C2×D7311yescharacteristic, complemented
1082C2×C4⋊C8C2×D7311yescharacteristic, complemented
1083#419—731no—
1084#418—731no—
1085#416—731no—
1086#416—731no—
1087C2×#103—731no—
1088C2×#102—731no—
1089C2×#41—731no—
1090C2×#41—731no—
1091C2×#41—731no—
1092C2×#41—731no—
1093C2×#41—1461no—
1094C2×#41D29211yescharacteristic
1095C22×Q8—731no—
1096C22×Q8—731no—
1097C22×Q8—731no—
1098C22×D4—731no—
1099C22×D4—731no—
1100C22×D4—1461no—
1101#137—2922no—
1102AGL(1,ℤ/8)—2922no—
1103#135—2922no—
1104#135—2922no—
1105C2×Q16—2922no—
1106C2×Q16—731no—
1107C2×Q16—731no—
1108C2×Q16—731no—
1109C2×Q16—731no—
1110C2×Q16—731no—
1111C2×Q16—731no—
1112C2×SD16—2922no—
1113C2×SD16—731no—
1114C2×SD16—731no—
1115C2×SD16—731no—
1116C2×SD16—731no—
1117C2×SD16—731no—
1118C2×SD16—731no—
1119C2×SD16—731no—
1120C2×SD16—731no—
1121C2×SD16—731no—
1122C2×SD16—731no—
1123C2×SD16—731no—
1124C2×SD16—731no—
1125C2×D8—731no—
1126C2×D8—731no—
1127C2×D8—731no—
1128C2×D8—731no—
1129C2×D8—731no—
1130C2×D8—731no—
1131C2×M16C22×D7311yescharacteristic
1132C2×M16C22×D7311yescharacteristic
1133C22×C8C22×D7311yescharacteristic
1134C22×C8C22×D7311yescharacteristic
1135C22×C8C22×D7311yescharacteristic
1136C22×C8C22×D7311yescharacteristic
1137C4⋊Q8—731no—
1138C4⋊Q8—731no—
1139C4⋊Q8—1461no—
1140C4⋊Q8—1461no—
1141#127—731no—
1142#127—731no—
1143#127—1461no—
1144#126—1461no—
1145#126—1461no—
1146#126—1461no—
1147#126—1461no—
1148#126—1461no—
1149#126—1461no—
1150#126—1461no—
1151#126—1461no—
1152#126—1461no—
1153#126—1461no—
1154#126—1461no—
1155#125—731no—
1156#125—731no—
1157#125—731no—
1158#125—1461no—
1159#125—1461no—
1160#124—731no—
1161#124—731no—
1162#124—731no—
1163#124—731no—
1164#124—731no—
1165#124—731no—
1166#124—731no—
1167#124—731no—
1168#124—731no—
1169#124—1461no—
1170#124—1461no—
1171#124—1461no—
1172#124—1461no—
1173#124—1461no—
1174#124—1461no—
1175#124—1461no—
1176#124—1461no—
1177#124—1461no—
1178#124—1461no—
1179#124—1461no—
1180#124—1461no—
1181#123—1461no—
1182#123—1461no—
1183#123—1461no—
1184#123—1461no—
1185#123—1461no—
1186#123—1461no—
1187#123—1461no—
1188#123—1461no—
1189#123—1461no—
1190#123—1461no—
1191#123—1461no—
1192#123—1461no—
1193#123—1461no—
1194C22⋊Q8—731no—
1195C22⋊Q8—731no—
1196C22⋊Q8—731no—
1197C22⋊Q8—731no—
1198C22⋊Q8—731no—
1199C22⋊Q8—1461no—
1200C22⋊Q8—1461no—
1201C22⋊Q8—1461no—
1202C22⋊Q8—1461no—
1203C22⋊Q8—1461no—
1204C22⋊Q8—1461no—
1205C22⋊Q8—1461no—
1206#121—731no—
1207#121—731no—
1208#121—731no—
1209#121—731no—
1210#121—731no—
1211#121—731no—
1212#121—731no—
1213#121—1461no—
1214#121—1461no—
1215#121—1461no—
1216#121—1461no—
1217#121—1461no—
1218#121—1461no—
1219#121—1461no—
1220#121—1461no—
1221#121—1461no—
1222#121—1461no—
1223#121—1461no—
1224#121—1461no—
1225#121—1461no—
1226#121—1461no—
1227#120—1461no—
1228#120—1461no—
1229#120—1461no—
1230#120—1461no—
1231C4×Q8—731no—
1232C4×Q8—731no—
1233C4×Q8—731no—
1234C4×Q8—731no—
1235C4×Q8—731no—
1236C4×Q8—731no—
1237C4×Q8—731no—
1238C4×Q8—731no—
1239C4×Q8—731no—
1240C4×Q8—1461no—
1241C4×Q8—1461no—
1242C4×Q8—1461no—
1243C4×Q8—1461no—
1244C4×Q8D29211yescharacteristic
1245C4×Q8C22×D7311yescharacteristic
1246C4×D4—731no—
1247C4×D4—731no—
1248C4×D4—731no—
1249C4×D4—731no—
1250C4×D4—731no—
1251C4×D4—731no—
1252C4×D4—731no—
1253C4×D4—1461no—
1254C4×D4—1461no—
1255C4×D4—1461no—
1256C4×D4—1461no—
1257C4×D4—1461no—
1258C4×D4—1461no—
1259C4×D4—1461no—
1260C4×D4—1461no—
1261C4×D4—1461no—
1262C4×D4—1461no—
1263C4×D4—1461no—
1264C4×D4—1461no—
1265C4×D4—1461no—
1266C4×D4—1461no—
1267C4×D4—1461no—
1268C4×D4—1461no—
1269C4×D4—1461no—
1270C4×D4—1461no—
1271C4×D4—1461no—
1272C4×D4—1461no—
1273C4×D4—1461no—
1274C4×D4—1461no—
1275C4×D4D29211yescharacteristic
1276C4×D4D29211yescharacteristic
1277C4×D4D29211yescharacteristic
1278C4×D4C22×D7311yescharacteristic
1279C4×D4C22×D7311yescharacteristic
1280C4×D4C22×D7311yescharacteristic
1281#117—731no—
1282#117—731no—
1283#117—1461no—
1284#117—1461no—
1285#117—1461no—
1286#117—1461no—
1287#117—1461no—
1288#117—1461no—
1289#117—1461no—
1290#117—1461no—
1291#117D29211yescharacteristic
1292#117D29211yescharacteristic
1293#117D29211yescharacteristic
1294C2×C4⋊C4—731no—
1295C2×C4⋊C4—1461no—
1296C2×C22⋊C4—1461no—
1297C2×C22⋊C4—1461no—
1298C2×C22⋊C4—1461no—
1299C2×C22⋊C4—1461no—
1300C2×C22⋊C4—1461no—
1301C2×C22⋊C4—1461no—
1302C2×C42—1461no—
1303C2×C42—1461no—
1304C2×C42—1461no—
1305C2×C42C22×D7311yescharacteristic
1306C2×C42C22×D7311yescharacteristic
1307C2×C42C22×D7311yescharacteristic
1308#107—731no—
1309#107—731no—
1310#107—731no—
1311#107—731no—
1312#106—731no—
1313#106—731no—
1314#106—731no—
1315#106—731no—
1316C4⋊C8C22×D7311yescharacteristic
1317C4⋊C8C22×D7311yescharacteristic
1318C4⋊C8C22×D7311yescharacteristic
1319C4⋊C8C22×D7311yescharacteristic
1320C4⋊C8C22×D7311yescharacteristic
1321C4⋊C8C22×D7311yescharacteristic
1322C4⋊C8C22×D7311yescharacteristic
1323C4⋊C8C22×D7311yescharacteristic
1324C4⋊C8C22×D7311yescharacteristic
1325C4⋊C8C22×D7311yescharacteristic
1326#103—731no—
1327#103—731no—
1328#103—731no—
1329#103—731no—
1330#103—731no—
1331#103—731no—
1332#103—731no—
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#102—731no—
1343#102—731no—
1344#102—731no—
1345#102—731no—
1346#102—731no—
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—
1358C22⋊C8C22×D7311yescharacteristic
1359C22⋊C8C22×D7311yescharacteristic
1360C22⋊C8C22×D7311yescharacteristic
1361C22⋊C8C22×D7311yescharacteristic
1362C22⋊C8C22×D7311yescharacteristic
1363C22⋊C8C22×D7311yescharacteristic
1364#97C22×D7311yescharacteristic
1365#97C22×D7311yescharacteristic
1366#97C22×D7311yescharacteristic
1367#97C22×D7311yescharacteristic
1368C4×C8C22×D7311yescharacteristic
1369C4×C8C22×D7311yescharacteristic
1370C24—1461no—
1371C24—1461no—
1372#41—42no—
1373#41—2924no—
1374#41—2921no—
1375#41—2921no—
1376#41—2921no—
1377#41—2921no—
1378#41—2921no—
1379#41—2921no—
1380#41—1462no—
1381#41—1462no—
1382C2×Q8—2921no—
1383C2×Q8—2921no—
1384C2×Q8—2921no—
1385C2×Q8—2921no—
1386C2×Q8—2921no—
1387C2×Q8—731no—
1388C2×Q8—731no—
1389C2×Q8—731no—
1390C2×Q8—731no—
1391C2×Q8—731no—
1392C2×Q8—1462no—
1393C2×Q8—1461no—
1394C2×Q8—1461no—
1395C2×Q8—1461no—
1396C2×Q8—1461no—
1397C2×Q8C2×D29211yescharacteristic
1398C2×D4—2921no—
1399C2×D4—2921no—
1400C2×D4—2921no—
1401C2×D4—2921no—
1402C2×D4—2924no—
1403C2×D4—731no—
1404C2×D4—731no—
1405C2×D4—731no—
1406C2×D4—731no—
1407C2×D4—731no—
1408C2×D4—1461no—
1409C2×D4—1461no—
1410C2×D4—1461no—
1411C2×D4—1461no—
1412C2×D4—1461no—
1413C2×D4—1461no—
1414C2×D4—1461no—
1415C2×D4—1461no—
1416C2×D4—1461no—
1417C2×D4—1461no—
1418C2×D4—1461no—
1419C2×D4—1461no—
1420C2×D4—1461no—
1421C2×D4—1461no—
1422C2×D4—1461no—
1423C2×D4—1461no—
1424C2×D4—1461no—
1425C2×D4C2×D29211yescharacteristic
1426C2×D4C2×D29211yescharacteristic
1427C2×D4C2×D29211yescharacteristic
1428C22×C4—1461no—
1429C22×C4—1461no—
1430C22×C4—1461no—
1431C22×C4—1461no—
1432C22×C4—1461no—
1433C22×C4—1461no—
1434C22×C4—1461no—
1435C22×C4—1461no—
1436C22×C4—1461no—
1437C22×C4—1461no—
1438C22×C4—1461no—
1439C22×C4—1461no—
1440C22×C4—1461no—
1441C22×C4—1461no—
1442C22×C4—1461no—
1443C22×C4C2×D29211yescharacteristic
1444C22×C4C2×D29211yescharacteristic
1445C22×C4C2×D29211yescharacteristic
1446C22×C4C2×D29211yescharacteristic
1447C22×C4C2×D29211yescharacteristic
1448C22×C4C2×D29211yescharacteristic
1449C22×C4C23×D7311yescharacteristic
1450C22×C4C23×D7311yescharacteristic
1451C22×C4C23×D7311yescharacteristic
1452Q16—2921no—
1453Q16—2921no—
1454Q16—2921no—
1455Q16—1462no—
1456Q16—1462no—
1457Q16—1462no—
1458SD16—2921no—
1459SD16—2921no—
1460SD16—2921no—
1461SD16—2921no—
1462SD16—2921no—
1463SD16—2921no—
1464SD16—2921no—
1465SD16—2921no—
1466SD16—2921no—
1467SD16—1462no—
1468SD16—1462no—
1469SD16—1462no—
1470D8—2921no—
1471D8—2921no—
1472D8—2921no—
1473D8—2921no—
1474D8—2921no—
1475D8—2921no—
1476M16—41no—
1477M16—41no—
1478C2×C8—41no—
1479C2×C8—41no—
1480C2×C8—41no—
1481C2×C8—41no—
1482C2×C8C23×D7311yescharacteristic
1483C2×C8C23×D7311yescharacteristic
1484C2×C8C23×D7311yescharacteristic
1485C2×C8C23×D7311yescharacteristic
1486C2×C8C23×D7311yescharacteristic
1487C2×C8C23×D7311yescharacteristic
1488C2×C8C23×D7311yescharacteristic
1489C2×C8C23×D7311yescharacteristic
1490C4⋊C4—731no—
1491C4⋊C4—731no—
1492C4⋊C4—731no—
1493C4⋊C4—731no—
1494C4⋊C4—731no—
1495C4⋊C4—731no—
1496C4⋊C4—1461no—
1497C4⋊C4—1461no—
1498C4⋊C4—1461no—
1499C4⋊C4—1461no—
1500C4⋊C4—1461no—
1501C4⋊C4—1461no—
1502C4⋊C4—1461no—
1503C4⋊C4—1461no—
1504C4⋊C4—1461no—
1505C4⋊C4—1461no—
1506C4⋊C4—1461no—
1507C4⋊C4—1461no—
1508C4⋊C4—1461no—
1509C4⋊C4—1461no—
1510C4⋊C4—1461no—
1511C4⋊C4—1461no—
1512C4⋊C4—1461no—
1513C4⋊C4—1461no—
1514C4⋊C4—1461no—
1515C4⋊C4—1461no—
1516C4⋊C4—1461no—
1517C4⋊C4—1461no—
1518C4⋊C4—1461no—
1519C4⋊C4—1461no—
1520C4⋊C4C2×D29211yescharacteristic
1521C4⋊C4C2×D29211yescharacteristic
1522C4⋊C4C2×D29211yescharacteristic
1523C4⋊C4C2×D29211yescharacteristic
1524C4⋊C4C2×D29211yescharacteristic
1525C4⋊C4C2×D29211yescharacteristic
1526C22⋊C4—1461no—
1527C22⋊C4—1461no—
1528C22⋊C4—1461no—
1529C22⋊C4—1461no—
1530C22⋊C4—1461no—
1531C22⋊C4—1461no—
1532C22⋊C4—1461no—
1533C22⋊C4—1461no—
1534C22⋊C4—1461no—
1535C22⋊C4—1461no—
1536C22⋊C4—1461no—
1537C22⋊C4—1461no—
1538C22⋊C4—1461no—
1539C22⋊C4—1461no—
1540C22⋊C4—1461no—
1541C22⋊C4—1461no—
1542C22⋊C4—1461no—
1543C22⋊C4—1461no—
1544C22⋊C4—1461no—
1545C22⋊C4—1461no—
1546C22⋊C4—1461no—
1547C22⋊C4—1461no—
1548C22⋊C4—1461no—
1549C22⋊C4—1461no—
1550C22⋊C4—1461no—
1551C22⋊C4—1461no—
1552C22⋊C4—1461no—
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⋊C4C2×D29211yescharacteristic
1566C22⋊C4C2×D29211yescharacteristic
1567C22⋊C4C2×D29211yescharacteristic
1568C22⋊C4C2×D29211yescharacteristic
1569C22⋊C4C2×D29211yescharacteristic
1570C22⋊C4C2×D29211yescharacteristic
1571C42—1461no—
1572C42—1461no—
1573C42—1461no—
1574C42—1461no—
1575C42—1461no—
1576C42—1461no—
1577C42—1461no—
1578C42—1461no—
1579C42—1461no—
1580C42—1461no—
1581C42—1461no—
1582C42C2×D29211yescharacteristic
1583C42C2×D29211yescharacteristic
1584C42C2×D29211yescharacteristic
1585C42C2×D29211yescharacteristic
1586C42C2×D29211yescharacteristic
1587C42C2×D29211yescharacteristic
1588C42C23×D7311yescharacteristic
1589C42C23×D7311yescharacteristic
1590C42C23×D7311yescharacteristic
1591C42C23×D7311yescharacteristic
1592C23—2922no—
1593C23—2922no—
1594C23—5841no—
1595C23—5841no—
1596C23—5841no—
1597C23—5841no—
1598C23—1461no—
1599C23—1461no—
1600C23—1461no—
1601C23—1461no—
1602C23—1461no—
1603C23C22×D29211yescharacteristic
1604C23C22×D29211yescharacteristic
1605C23C22×D29211yescharacteristic
1606Q8—41no—
1607Q8—2922no—
1608Q8—2922no—
1609Q8—5841no—
1610Q8—5841no—
1611Q8—732no—
1612Q8—1461no—
1613Q8—1461no—
1614Q8—1461no—
1615Q8—1461no—
1616Q8—1461no—
1617Q8—1461no—
1618Q8—1461no—
1619Q8—1461no—
1620Q8—1461no—
1621D4—22no—
1622D4—22no—
1623D4—41no—
1624D4—2922no—
1625D4—2922no—
1626D4—2922no—
1627D4—2922no—
1628D4—2922no—
1629D4—2922no—
1630D4—2922no—
1631D4—2922no—
1632D4—5841no—
1633D4—5841no—
1634D4—5841no—
1635D4—5841no—
1636D4—5841no—
1637D4—5841no—
1638D4—5841no—
1639D4—5841no—
1640D4—5841no—
1641D4—1461no—
1642D4—1461no—
1643D4—1461no—
1644D4—1461no—
1645D4—1461no—
1646D4—1461no—
1647D4—1461no—
1648D4—1461no—
1649D4—1461no—
1650D4—1461no—
1651C2×C4—22no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—41no—
1659C2×C4—41no—
1660C2×C4—41no—
1661C2×C4—41no—
1662C2×C4—41no—
1663C2×C4—2922no—
1664C2×C4—2922no—
1665C2×C4—2922no—
1666C2×C4—2922no—
1667C2×C4—2922no—
1668C2×C4—2922no—
1669C2×C4—5841no—
1670C2×C4—5841no—
1671C2×C4—5841no—
1672C2×C4—5841no—
1673C2×C4—5841no—
1674C2×C4—5841no—
1675C2×C4—5841no—
1676C2×C4—5841no—
1677C2×C4—5841no—
1678C2×C4—1461no—
1679C2×C4—1461no—
1680C2×C4—1461no—
1681C2×C4—1461no—
1682C2×C4—1461no—
1683C2×C4—1461no—
1684C2×C4—1461no—
1685C2×C4—1461no—
1686C2×C4—1461no—
1687C2×C4—1461no—
1688C2×C4—1461no—
1689C2×C4C22×D29211yescharacteristic
1690C2×C4C22×D29211yescharacteristic
1691C2×C4C22×D29211yescharacteristic
1692C2×C4C22×D29211yescharacteristic
1693C2×C4C22×D29211yescharacteristic
1694C2×C4C22×D29211yescharacteristic
1695C2×C4C22×D29211yescharacteristic
1696C2×C4C22×D29211yescharacteristic
1697C2×C4C22×D29211yescharacteristic
1698C2×C4C22×D29211yescharacteristic
1699C2×C4C22×D29211yescharacteristic
1700C2×C4C24×D7311yescharacteristic
1701C8—21no—
1702C8—21no—
1703C8—21no—
1704C8—21no—
1705C8—21no—
1706C8—21no—
1707C8—21no—
1708C8—21no—
1709C22—21no—
1710C22—21no—
1711C22—21no—
1712C22—21no—
1713C22—21no—
1714C22—21no—
1715C22—21no—
1716C22—21no—
1717C22—2921no—
1718C22—2921no—
1719C22—2921no—
1720C22—2921no—
1721C22—2921no—
1722C22—2921no—
1723C22—2921no—
1724C22—2921no—
1725C22—2921no—
1726C22—2921no—
1727C22—2921no—
1728C22—2921no—
1729C22—2921no—
1730C22—2921no—
1731C22—2921no—
1732C22—11682no—
1733C22—11682no—
1734C22#1798938712yes—
1735C22C23×D29211yescharacteristic
1736C4—21no—
1737C4—21no—
1738C4—21no—
1739C4—21no—
1740C4—21no—
1741C4—21no—
1742C4—21no—
1743C4—21no—
1744C4—21no—
1745C4—21no—
1746C4—21no—
1747C4—2921no—
1748C4—2921no—
1749C4—2921no—
1750C4—2921no—
1751C4—2921no—
1752C4—2921no—
1753C4—2921no—
1754C4—2921no—
1755C4—2921no—
1756C4—2921no—
1757C4—1462no—
1758C4H(5,𝔽2)×D7311yescharacteristic
1759C4#1798942411yescharacteristic
1760C2—22no—
1761C2—41no—
1762C2—41no—
1763C2—5841no—
1764C2—5841no—
1765C2—5841no—
1766C2—5841no—
1767C2—5841no—
1768C2#2262360111yescharacteristic
1769C2C2×#1798938711yescharacteristic
1770C2#2262470511yescharacteristic
subgroupG/H
centerC22C23×D292
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#2990C2
socleC22×C73C23×D4
hypercenter#2990D73
hypocenterC73#61992
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×#41 ◁ #2990

Complements

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

NH ≅ G/Ntype
1. #22623892C2semidirect
2. #22623524C2semidirect
3. #22623021C2semidirect
4. #22622999C2semidirect
5. #22622775C2semidirect
6. #22622701C2semidirect
7. #22622104C2semidirect
8. #22622074C2semidirect
9. #22621999C2semidirect
10. #22621969C2semidirect
11. #22621835C2semidirect
12. #22621783C2semidirect
13. #22621674C2semidirect
14. #22621643C2semidirect
15. #22621521C2semidirect
16. #22621506C2semidirect
17. #22621476C2semidirect
18. #22621431C2semidirect
19. #22621332C2semidirect
20. #22621283C2semidirect
21. #22621258C2semidirect
22. #22620970C2semidirect
23. #22620920C2semidirect
24. #22620898C2semidirect
25. #22620104C2semidirect
26. #22620042C2semidirect
27. #22619951C2semidirect
28. #22619426C2semidirect
29. #22619388C2semidirect
30. C2×#17988810C2semidirect
31. C73×#2990C2semidirect
32. C2×#14556624C22semidirect
34. C2×#14556613C22semidirect
35. C2×#14556613C22semidirect
36. C22×Dic292C22semidirect
39. #17989322C22semidirect
41. #17989315C22semidirect
44. #17989307C22semidirect
49. #17989283C22semidirect
52. #17989258C22semidirect
57. #17989246C22semidirect
66. #17989137C22semidirect
71. #17989121C22semidirect
72. #17989121C22semidirect
78. C4×#11924028C22semidirect
79. C4×#11924028C22semidirect
81. C2×C4×Dic146C22semidirect
82. #17988981C22semidirect
85. #17988976C22semidirect
87. #17988971C22semidirect
88. #17988956C22semidirect
91. #17988947C22semidirect
93. #17988942C22semidirect
94. #17988929C22semidirect
95. #17988929C22semidirect
96. #17988923C22semidirect
100. #17988895C22semidirect
101. #17988895C22semidirect
102. #17988895C22semidirect
103. #17988895C22semidirect
105. #17988888C22semidirect
106. #17988888C22semidirect
107. #17988888C22semidirect
108. #17988883C22semidirect
109. #17988878C22semidirect
110. #17988845C22semidirect
113. #17988833C22semidirect
114. #17988828C22semidirect
119. #17988816C22semidirect
120. #17988816C22semidirect
121. #17988816C22semidirect
127. #17988810C22semidirect
128. #17988810C22semidirect
129. #17988810C22semidirect
130. #17988810C22semidirect
131. #17988810C22semidirect
132. #17988810C22semidirect
133. #17988810C22semidirect
134. #17988810C22semidirect
135. #17988810C22semidirect
140. #17988803C22semidirect
141. #17988803C22semidirect
142. #17988803C22semidirect
143. #17988803C22semidirect
144. #17988803C22semidirect
145. #17988803C22semidirect
146. #17988798C22semidirect
147. #17988793C22semidirect
149. #17988788C22semidirect
151. #17988783C22semidirect
152. #17988751C22semidirect
153. #17988751C22semidirect
154. #17988751C22semidirect
155. #17988751C22semidirect
156. #17988745C22semidirect
157. #17988745C22semidirect
161. #17988734C22semidirect
162. #17988734C22semidirect
164. #17988728C22semidirect
165. #17988728C22semidirect
166. #17988728C22semidirect
171. #17988695C22semidirect
172. #17988695C22semidirect
173. #17988695C22semidirect
175. #17988689C22semidirect
176. #17988689C22semidirect
177. #17988689C22semidirect
178. C4×Dic292C22semidirect
179. C4×#11924017C22semidirect
180. C4×#11924017C22semidirect
181. C4×D584C22semidirect
182. #17988597C22semidirect
184. #17988584C22semidirect
185. #17988584C22semidirect
186. C2×#14556516C22semidirect
189. #446×C73C22semidirect
190. #446×C73C22semidirect
193. #435×C73C22semidirect
194. #435×C73C22semidirect
195. C8×D4×C73C22semidirect
196. C8×D4×C73C22semidirect
197. #432×C73C22semidirect
198. #432×C73C22semidirect
199. #431×C73C22semidirect
200. #423×C73C22semidirect
201. C2×C4⋊C8×C73C22semidirect
202. C2×C4⋊C8×C73C22semidirect
916. #2990D73semidirect
917. C73#61992semidirect
1057. #446C2×D73semidirect
1058. #446C2×D73semidirect
1073. #435C2×D73semidirect
1074. #435C2×D73semidirect
1075. C8×D4C2×D73semidirect
1076. C8×D4C2×D73semidirect
1077. #432C2×D73semidirect
1078. #432C2×D73semidirect
1079. #431C2×D73semidirect
1080. #423C2×D73semidirect
1081. C2×C4⋊C8C2×D73semidirect
1082. C2×C4⋊C8C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226238922
#226235242
#226230212
#226229992
#226227752
#226227012
#226221042
#226220742
#226219992
#226219692
#226218352
#226217832
#226216742
#226216432
#226215212
#226215062
#226214762
#226214312
#226213322
#226212832
#226212582
#226209702
#226209202
#226208982
#226201042
#226200422
#226199512
#226194262
#226193882
C2×#179888102
C73×#29902
#6199273