Finite Group Databasebeta

← #33968011

Subgroups — #33968011

Order 18688.

1846 conjugacy classes of subgroups.

The subgroup lattice has 1694 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623546C211yesmaximal, characteristic, complemented
2#22623495C211yesmaximal, characteristic, complemented
3#22623012C211yesmaximal, characteristic, complemented
4#22622878C211yesmaximal, characteristic, complemented
5#22622775C211yesmaximal, characteristic, complemented
6#22622760C211yesmaximal, characteristic, complemented
7#22622448C211yesmaximal, characteristic, complemented
8#22622373C211yesmaximal, characteristic, complemented
9#22622300C211yesmaximal, characteristic, complemented
10#22622119C211yesmaximal, characteristic, complemented
11#22622029C211yesmaximal, characteristic, complemented
12#22621984C211yesmaximal, characteristic, complemented
13#22621894C211yesmaximal, characteristic, complemented
14#22621820C211yesmaximal, characteristic, complemented
15#22621768C211yesmaximal, characteristic, complemented
16#22621643C211yesmaximal, characteristic, complemented
17#22621491C211yesmaximal, characteristic, complemented
18#22621446C211yesmaximal, characteristic, complemented
19#22620660C211yesmaximal, characteristic, complemented
20#22620640C211yesmaximal, characteristic, complemented
21#22620640C211yesmaximal, characteristic, complemented
22#22620104C211yesmaximal, characteristic, complemented
23#22620094C211yesmaximal, characteristic, complemented
24#22620071C211yesmaximal, characteristic, complemented
25#22620062C211yesmaximal, characteristic, complemented
26#22620042C211yesmaximal, characteristic, complemented
27#22620042C211yesmaximal, characteristic, complemented
28C4×#14556624C211yesmaximal, characteristic, complemented
29#22618733C211yesmaximal, characteristic, complemented
30C2×#17988689C211yesmaximal, characteristic, complemented
31C73×#2970C211yesmaximal, characteristic, complemented
32C2×#14556624C2211yescharacteristic
33C2×#14556613C2211yescharacteristic
34C22×#11924017C2211yescharacteristic
35#17989315C2211yescharacteristic, complemented
36#17989310C2211yescharacteristic
37#17989310C2211yescharacteristic, complemented
38#17989305—21no—
39#17989302C2211yescharacteristic
40#17989297C2211yescharacteristic
41#17989287—21no—
42#17989278—21no—
43#17989277C2211yescharacteristic
44#17989277C2211yescharacteristic
45#17989277C2211yescharacteristic
46#17989277C2211yescharacteristic, complemented
47#17989270—21no—
48#17989270—21no—
49#17989266—21no—
50#17989266—21no—
51D4×Dic146C2211yescharacteristic
52#17989246C2211yescharacteristic
53#17989246C2211yescharacteristic, complemented
54#17989242C2211yescharacteristic
55#17989241C2211yescharacteristic
56#17989236—21no—
57#17989233C2211yescharacteristic
58#17989233C2211yescharacteristic
59#17989144C2211yescharacteristic
60#17989144C2211yescharacteristic, complemented
61#17989141—21no—
62#17989121C2211yescharacteristic
63#17989121C2211yescharacteristic
64#17989121C2211yescharacteristic
65#17989121C2211yescharacteristic, complemented
66#17989117—21no—
67#17989117—21no—
68#17989115—21no—
69#17989115—21no—
70#17989094—21no—
71C4×#11924028C2211yescharacteristic
72C4×#11924028C2211yescharacteristic
73C4×#11924028C2211yescharacteristic, complemented
74C4×#11924027—21no—
75C2×C4×Dic146C2211yescharacteristic
76C2×C4×Dic146C2211yescharacteristic, complemented
77C2×C4×D292C2211yescharacteristic
78#117×D73—21no—
79#17988996C2211yescharacteristic, complemented
80#17988996C2211yescharacteristic, complemented
81#17988989C2211yescharacteristic, complemented
82#17988981C2211yescharacteristic
83#17988981C2211yescharacteristic, complemented
84#17988971C2211yescharacteristic
85#17988956C2211yescharacteristic, complemented
86#17988956C2211yescharacteristic, complemented
87#17988947C2211yescharacteristic
88#17988947C2211yescharacteristic, complemented
89#17988942C2211yescharacteristic
90#17988942C2211yescharacteristic, complemented
91#17988929C2211yescharacteristic, complemented
92#17988929C2211yescharacteristic, complemented
93#17988929C2211yescharacteristic, complemented
94#17988929C2211yescharacteristic, complemented
95#17988923C2211yescharacteristic, complemented
96#17988918C2211yescharacteristic
97#17988918C2211yescharacteristic
98#17988918C2211yescharacteristic
99#17988912C2211yescharacteristic
100#17988912C2211yescharacteristic, complemented
101#17988906C2211yescharacteristic
102#17988901C2211yescharacteristic
103#17988895C2211yescharacteristic, complemented
104#17988895C2211yescharacteristic, complemented
105#17988895C2211yescharacteristic, complemented
106#17988895C2211yescharacteristic, complemented
107#17988888C2211yescharacteristic
108#17988888C2211yescharacteristic
109#17988888C2211yescharacteristic
110#17988888C2211yescharacteristic, complemented
111#17988883C2211yescharacteristic, complemented
112#17988878C2211yescharacteristic
113#17988873C2211yescharacteristic, complemented
114#17988873C2211yescharacteristic, complemented
115#17988845C2211yescharacteristic, complemented
116#17988840C2211yescharacteristic
117#17988833C2211yescharacteristic
118#17988833C2211yescharacteristic, complemented
119#17988828C2211yescharacteristic
120#17988828C2211yescharacteristic
121#17988828C2211yescharacteristic, complemented
122#17988828C2211yescharacteristic, complemented
123#17988816C2211yescharacteristic
124#17988816C2211yescharacteristic
125#17988816C2211yescharacteristic
126#17988816C2211yescharacteristic
127#17988810C2211yescharacteristic
128#17988810C2211yescharacteristic
129#17988810C2211yescharacteristic
130#17988810C2211yescharacteristic, complemented
131#17988803C2211yescharacteristic
132#17988803C2211yescharacteristic
133#17988803C2211yescharacteristic
134#17988803C2211yescharacteristic
135#17988798C2211yescharacteristic, complemented
136#17988798C2211yescharacteristic, complemented
137#17988798C2211yescharacteristic, complemented
138#17988793C2211yescharacteristic
139#17988751C2211yescharacteristic
140#17988751C2211yescharacteristic
141#17988751C2211yescharacteristic
142#17988751C2211yescharacteristic, complemented
143#17988745C2211yescharacteristic
144#17988745C2211yescharacteristic
145#17988745C2211yescharacteristic, complemented
146#17988740C2211yescharacteristic
147#17988734C2211yescharacteristic
148#17988734C2211yescharacteristic
149#17988728C2211yescharacteristic
150#17988723C2211yescharacteristic
151#17988700C2211yescharacteristic
152#17988700C2211yescharacteristic
153#17988700C2211yescharacteristic
154#17988695C2211yescharacteristic, complemented
155#17988695C2211yescharacteristic, complemented
156#17988695C2211yescharacteristic, complemented
157#17988695C2211yescharacteristic, complemented
158#17988695C2211yescharacteristic, complemented
159#17988695C2211yescharacteristic, complemented
160#17988695C2211yescharacteristic, complemented
161#17988689C2211yescharacteristic
162#17988689C2211yescharacteristic
163#17988689C2211yescharacteristic
164#17988689C2211yescharacteristic
165#17988689C2211yescharacteristic
166#17988689C2211yescharacteristic
167#17988689C2211yescharacteristic
168#17988689C2211yescharacteristic
169#17988689C2211yescharacteristic
170#17988689C2211yescharacteristic
171#17988689C2211yescharacteristic
172#17988689C2211yescharacteristic, complemented
173#17988689C2211yescharacteristic, complemented
174#17988689C2211yescharacteristic, complemented
175C4×Dic292C2211yescharacteristic, complemented
176C4×Dic292C2211yescharacteristic, complemented
177C4×#11924017C2211yescharacteristic
178C4×#11924017C2211yescharacteristic
179#17988629C2211yescharacteristic, complemented
180#17988625C2211yescharacteristic, complemented
181C2×#14556525C2211yescharacteristic
182#17988597C2211yescharacteristic, complemented
183#17988589C2211yescharacteristic
184#17988584C2211yescharacteristic
185#17988584C2211yescharacteristic, complemented
186C2×#14556516C2211yescharacteristic
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
196C8×D4×C73C2211yescharacteristic
197#432×C73C2211yescharacteristic
198#432×C73C2211yescharacteristic, complemented
199#432×C73C2211yescharacteristic, complemented
200C4×M16×C73C2211yescharacteristic, complemented
201C2×#97×C73C2211yescharacteristic
202C2×#97×C73C2211yescharacteristic, complemented
203C2×#11924028C2311yescharacteristic
204C2×#11924028C2311yescharacteristic
205C2×#11924028C2311yescharacteristic
206C2×#11924027—21no—
207C22×Dic146C2311yescharacteristic
208C22×Dic146C2311yescharacteristic
209C22×D292C2311yescharacteristic
210C22×C4×D73—21no—
211#14556624—24no—
212#14556613—24no—
213C2×Dic292C2311yescharacteristic
214C2×Dic292C2311yescharacteristic
215C2×Dic292C2311yescharacteristic
216C2×Dic292C2311yescharacteristic
217C2×Dic292C2311yescharacteristic
218C2×Dic292C2311yescharacteristic
219C2×#11924017—24no—
220C2×#11924017C2311yescharacteristic
221C2×#11924017C2311yescharacteristic
222C2×#11924017C2311yescharacteristic
223C2×#11924017C2311yescharacteristic
224C2×#11924017C2311yescharacteristic
225C2×#11924017C2311yescharacteristic
226C2×#11924017C2311yescharacteristic
227C2×#11924017C2311yescharacteristic
228C2×D584C2311yescharacteristic
229C2×D584C2311yescharacteristic
230#14556591C2311yescharacteristic
231#14556591C2311yescharacteristic
232#14556591C2311yescharacteristic
233#14556591C2311yescharacteristic
234#14556590—21no—
235#14556589—21no—
236#14556586—21no—
237#14556586—21no—
238#14556586—21no—
239#14556586—21no—
240#14556585—21no—
241#14556585—21no—
242#14556585—21no—
243#14556585—21no—
244#14556584—21no—
245#14556584—21no—
246#14556584—21no—
247#14556584—21no—
248#14556583—21no—
249#14556583—21no—
250#14556583C2311yescharacteristic
251#14556583C2311yescharacteristic
252#14556583C2311yescharacteristic
253#14556583C2311yescharacteristic
254#14556581—21no—
255#14556581—21no—
256#14556581—21no—
257#14556581—21no—
258#14556581—21no—
259#14556581—21no—
260#14556579C2311yescharacteristic
261#14556579C2311yescharacteristic
262#14556579C2311yescharacteristic
263#14556579C2311yescharacteristic
264#14556577—21no—
265#14556577—21no—
266#14556577—21no—
267#14556577—21no—
268#14556576—21no—
269#14556576—21no—
270#14556575—21no—
271#14556575—21no—
272#14556574—21no—
273#14556574—21no—
274#14556574—21no—
275#14556574—21no—
276#14556573—21no—
277#14556573—21no—
278#14556572—21no—
279#14556572—21no—
280#14556572—21no—
281#14556572—21no—
282#14556571—21no—
283#14556570—21no—
284#14556570—21no—
285#14556570C2311yescharacteristic
286#14556570C2311yescharacteristic
287#14556570C2311yescharacteristic
288#14556570C2311yescharacteristic
289#14556570C2311yescharacteristic
290#14556570C2311yescharacteristic
291#14556570C2311yescharacteristic
292#14556570C2311yescharacteristic
293#14556569—21no—
294#14556569—21no—
295#14556569—21no—
296#14556569—21no—
297#14556568—21no—
298#14556568—21no—
299#14556567—21no—
300#14556567—21no—
301#14556567—21no—
302#14556565C2311yescharacteristic
303#14556565C2311yescharacteristic
304#14556565C2311yescharacteristic
305#14556565C2311yescharacteristic
306#14556564—21no—
307#14556564—21no—
308#14556563—21no—
309#14556563—21no—
310#14556562—21no—
311#14556562—21no—
312#14556559—21no—
313#14556559—21no—
314C4×Dic146—21no—
315C4×Dic146—21no—
316C4×Dic146—21no—
317C4×Dic146—21no—
318C4×Dic146—21no—
319C4×Dic146—21no—
320C4×Dic146C2311yescharacteristic
321C4×Dic146C2311yescharacteristic
322C4×Dic146C2311yescharacteristic
323C4×Dic146C2311yescharacteristic
324C4×Dic146C2311yescharacteristic
325C4×Dic146C2311yescharacteristic
326C4×Dic146C2311yescharacteristic
327C4×Dic146C2311yescharacteristic
328C4×Dic146C2311yescharacteristic
329C4×Dic146C2311yescharacteristic
330C4×Dic146C2311yescharacteristic
331C4×Dic146C2311yescharacteristic
332#14556556—21no—
333C4×D292—21no—
334C4×D292—21no—
335C4×D292C2311yescharacteristic
336C4×D292C2311yescharacteristic
337C4×D292C2311yescharacteristic
338C4×D292C2311yescharacteristic
339C4×D292C2311yescharacteristic
340C4×D292C2311yescharacteristic
341C4×D292C2311yescharacteristic
342C4×D292C2311yescharacteristic
343D4×Dic73—21no—
344C4×C22⋊D73—21no—
345C4×C22⋊D73—21no—
346C4×C22⋊D73—21no—
347C4×C22⋊D73—21no—
348C4×C22⋊D73—21no—
349C4×C22⋊D73—21no—
350C4×C22⋊D73—21no—
351C4×C22⋊D73—21no—
352C4×C22⋊D73—21no—
353C4×C22⋊D73—21no—
354#14556551—21no—
355#14556551—21no—
356#14556550—21no—
357#14556550—21no—
358#14556550C2311yescharacteristic
359#14556550C2311yescharacteristic
360#14556550C2311yescharacteristic
361#14556549—21no—
362#14556549—21no—
363#14556549—21no—
364#14556548—21no—
365#14556548—21no—
366#14556548—21no—
367#14556548—21no—
368#14556548—21no—
369#14556548—21no—
370#14556548—21no—
371#14556547—21no—
372#14556547—21no—
373#14556547—21no—
374#14556547—21no—
375C2×C4⋊Dic73C2311yescharacteristic
376C2×C4⋊Dic73C2311yescharacteristic
377C2×C4⋊Dic73C2311yescharacteristic
378C2×#11924007—21no—
379C2×#11924007—21no—
380C4⋊C4×D73—21no—
381C4⋊C4×D73—21no—
382C2×#11924005—21no—
383C22⋊C4×D73—21no—
384C22⋊C4×D73—21no—
385C2×C4×Dic73—21no—
386C2×C4×Dic73—21no—
387C42×D73—21no—
388C42×D73—21no—
389C42×D73—21no—
390#14556525C2311yescharacteristic
391#14556525C2311yescharacteristic
392#14556525C2311yescharacteristic
393#14556525C2311yescharacteristic
394#14556525C2311yescharacteristic
395#14556525C2311yescharacteristic
396#14556525C2311yescharacteristic
397#14556525C2311yescharacteristic
398#14556523C2311yescharacteristic
399#14556523C2311yescharacteristic
400#14556523C2311yescharacteristic
401#14556523C2311yescharacteristic
402#14556523C2311yescharacteristic
403#14556523C2311yescharacteristic
404#14556523C2311yescharacteristic
405#14556523C2311yescharacteristic
406#14556516C2311yescharacteristic
407#14556516C2311yescharacteristic
408#14556516C2311yescharacteristic
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#14556516C2311yescharacteristic
426#14556513C2311yescharacteristic
427#14556513C2311yescharacteristic
428#14556513C2311yescharacteristic
429#14556513C2311yescharacteristic
430#14556513C2311yescharacteristic
431#14556513C2311yescharacteristic
432#14556513C2311yescharacteristic
433#14556513C2311yescharacteristic
434#14556513C2311yescharacteristic
435#14556513C2311yescharacteristic
436#14556513C2311yescharacteristic
437#14556513C2311yescharacteristic
438C2×#41×C73D411yescharacteristic
439C2×M16×C73C2311yescharacteristic
440C2×M16×C73C2311yescharacteristic
441C22×C8×C73C2311yescharacteristic
442C22×C8×C73C2311yescharacteristic
443C22×C8×C73C2311yescharacteristic
444C22×C8×C73C2311yescharacteristic
445C4×Q8×C73D411yescharacteristic
446C4×Q8×C73C2311yescharacteristic
447C4×D4×C73D411yescharacteristic
448C4×D4×C73D411yescharacteristic
449C4×D4×C73D411yescharacteristic
450C4×D4×C73C2311yescharacteristic
451C4×D4×C73C2311yescharacteristic
452C4×D4×C73C2311yescharacteristic
453#117×C73D411yescharacteristic
454#117×C73D411yescharacteristic
455#117×C73D411yescharacteristic
456C2×C42×C73C2311yescharacteristic
457C2×C42×C73C2311yescharacteristic
458C2×C42×C73C2311yescharacteristic
459C4⋊C8×C73C2311yescharacteristic
460C4⋊C8×C73C2311yescharacteristic
461C4⋊C8×C73C2311yescharacteristic
462C4⋊C8×C73C2311yescharacteristic
463C4⋊C8×C73C2311yescharacteristic
464C4⋊C8×C73C2311yescharacteristic
465C22⋊C8×C73C2311yescharacteristic
466C22⋊C8×C73C2311yescharacteristic
467C22⋊C8×C73C2311yescharacteristic
468C22⋊C8×C73C2311yescharacteristic
469C22⋊C8×C73C2311yescharacteristic
470C22⋊C8×C73C2311yescharacteristic
471#97×C73C2311yescharacteristic
472#97×C73C2311yescharacteristic
473#97×C73C2311yescharacteristic
474#97×C73C2311yescharacteristic
475#97×C73C2311yescharacteristic
476#97×C73C2311yescharacteristic
477#97×C73C2311yescharacteristic
478#97×C73C2311yescharacteristic
479C4×C8×C73C2311yescharacteristic
480C4×C8×C73C2311yescharacteristic
481C23×D73—21no—
482#11924028—22no—
483#11924028—22no—
484#11924028—22no—
485#11924028—41no—
486#11924028—41no—
487#11924028—41no—
488#11924027—44no—
489C2×Dic146—22no—
490C2×Dic146—22no—
491C2×Dic146—21no—
492C2×Dic146—21no—
493C2×Dic146—21no—
494C2×Dic146—21no—
495C2×Dic146—41no—
496C2×Dic146—41no—
497C2×Dic146C2411yescharacteristic
498C2×Dic146C2411yescharacteristic
499C2×Dic146C2411yescharacteristic
500C2×Dic146C2411yescharacteristic
501C2×Dic146C2411yescharacteristic
502C2×D292—22no—
503C2×D292—21no—
504C2×D292—41no—
505C2×D292C2411yescharacteristic
506C2×D292C2411yescharacteristic
507C2×D292C2411yescharacteristic
508C2×C22⋊D73—21no—
509C2×C22⋊D73—21no—
510C2×C22⋊D73—21no—
511C2×C22⋊D73—21no—
512C2×C22⋊D73—21no—
513C2×C22⋊D73—21no—
514C2×C22⋊D73—21no—
515C22×Dic73—21no—
516C22×Dic73—21no—
517C22×Dic73—21no—
518C22×Dic73—21no—
519C22×Dic73—21no—
520C2×C4×D73—21no—
521C2×C4×D73—21no—
522C2×C4×D73—21no—
523C2×C4×D73—21no—
524C2×C4×D73—21no—
525C2×C4×D73—21no—
526C2×C4×D73—21no—
527C2×C4×D73—21no—
528C2×C4×D73—21no—
529C2×C4×D73—21no—
530C2×C4×D73—21no—
531C2×C4×D73—44no—
532Dic292—22no—
533Dic292—22no—
534Dic292—22no—
535Dic292—41no—
536Dic292—41no—
537Dic292—41no—
538#11924017—22no—
539#11924017—22no—
540#11924017—22no—
541#11924017—22no—
542#11924017—22no—
543#11924017—41no—
544#11924017—41no—
545#11924017#4114yescomplemented
546D584—22no—
547D584—41no—
548C4⋊Dic73—21no—
549C4⋊Dic73—21no—
550C4⋊Dic73—21no—
551C4⋊Dic73—21no—
552C4⋊Dic73—21no—
553C4⋊Dic73—21no—
554C4⋊Dic73—21no—
555C4⋊Dic73—21no—
556C4⋊Dic73—21no—
557C4⋊Dic73C2411yescharacteristic
558C4⋊Dic73C2411yescharacteristic
559C4⋊Dic73C2411yescharacteristic
560C4⋊Dic73C2411yescharacteristic
561C4⋊Dic73C2411yescharacteristic
562C4⋊Dic73C2411yescharacteristic
563C4⋊Dic73C2411yescharacteristic
564C4⋊Dic73C2411yescharacteristic
565#11924007—21no—
566#11924007—21no—
567#11924007—21no—
568#11924007—21no—
569#11924007—21no—
570#11924007—21no—
571#11924007—21no—
572#11924007—21no—
573#11924007—21no—
574#11924007—21no—
575#11924007—21no—
576#11924007—21no—
577#11924007—21no—
578#11924007—21no—
579#11924007—21no—
580#11924007—21no—
581#11924007—21no—
582#11924007—21no—
583#11924007—21no—
584#11924007—21no—
585#11924007—21no—
586#11924007—21no—
587#11924007—21no—
588#11924007—21no—
589#11924007—21no—
590#11924007—21no—
591#11924007—21no—
592#11924007—21no—
593C22⋊Dic73—21no—
594C22⋊Dic73—21no—
595C22⋊Dic73—21no—
596C22⋊Dic73—21no—
597C22⋊Dic73—21no—
598C22⋊Dic73—21no—
599C22⋊Dic73—21no—
600C22⋊Dic73—21no—
601C22⋊Dic73—21no—
602C22⋊Dic73—21no—
603C22⋊Dic73—21no—
604#11924005—21no—
605#11924005—21no—
606#11924005—21no—
607#11924005—21no—
608#11924005—21no—
609#11924005—21no—
610#11924005—21no—
611#11924005—21no—
612#11924005—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—
624C4×Dic73—21no—
625C4×Dic73—21no—
626C4×Dic73—21no—
627C4×Dic73—21no—
628C4×Dic73—21no—
629C4×Dic73—21no—
630C4×Dic73—21no—
631C4×Dic73—21no—
632C4×Dic73—21no—
633C4×Dic73—21no—
634C4×Dic73—21no—
635C4×Dic73—21no—
636C4×Dic73—21no—
637C4×Dic73—21no—
638C4×Dic73—21no—
639#41×C73—42no—
640C2×Q8×C73C2×D411yescharacteristic
641C2×D4×C73C2×D411yescharacteristic
642C2×D4×C73C2×D411yescharacteristic
643C2×D4×C73C2×D411yescharacteristic
644C22×C4×C73C2×D411yescharacteristic
645C22×C4×C73C2×D411yescharacteristic
646C22×C4×C73C2×D411yescharacteristic
647C22×C4×C73C2×D411yescharacteristic
648C22×C4×C73C2×D411yescharacteristic
649C22×C4×C73C2×D411yescharacteristic
650C22×C4×C73C2411yescharacteristic
651C22×C4×C73C2411yescharacteristic
652C22×C4×C73C2411yescharacteristic
653M16×C73—22no—
654M16×C73—41no—
655C2×C8×C73—22no—
656C2×C8×C73—22no—
657C2×C8×C73—41no—
658C2×C8×C73—41no—
659C2×C8×C73C2411yescharacteristic
660C2×C8×C73C2411yescharacteristic
661C2×C8×C73C2411yescharacteristic
662C2×C8×C73C2411yescharacteristic
663C2×C8×C73C2411yescharacteristic
664C2×C8×C73C2411yescharacteristic
665C2×C8×C73C2411yescharacteristic
666C2×C8×C73C2411yescharacteristic
667C4⋊C4×C73C2×D411yescharacteristic
668C4⋊C4×C73C2×D411yescharacteristic
669C4⋊C4×C73C2×D411yescharacteristic
670C4⋊C4×C73C2×D411yescharacteristic
671C4⋊C4×C73C2×D411yescharacteristic
672C4⋊C4×C73C2×D411yescharacteristic
673C22⋊C4×C73C2×D411yescharacteristic
674C22⋊C4×C73C2×D411yescharacteristic
675C22⋊C4×C73C2×D411yescharacteristic
676C22⋊C4×C73C2×D411yescharacteristic
677C22⋊C4×C73C2×D411yescharacteristic
678C22⋊C4×C73C2×D411yescharacteristic
679C42×C73C2×D411yescharacteristic
680C42×C73C2×D411yescharacteristic
681C42×C73C2×D411yescharacteristic
682C42×C73C2×D411yescharacteristic
683C42×C73C2×D411yescharacteristic
684C42×C73C2×D411yescharacteristic
685C42×C73C2411yescharacteristic
686C42×C73C2411yescharacteristic
687C42×C73C2411yescharacteristic
688C42×C73C2411yescharacteristic
689C23×C73C22×D411yescharacteristic
690C23×C73C22×D411yescharacteristic
691C23×C73C22×D411yescharacteristic
692C22×D73—21no—
693C22×D73—21no—
694C22×D73—21no—
695C22×D73—42no—
696C22×D73—42no—
697C22×D73—81no—
698Q8×C73—41no—
699D4×C73—22no—
700D4×C73—22no—
701D4×C73—41no—
702C2×C4×C73—22no—
703C2×C4×C73—21no—
704C2×C4×C73—21no—
705C2×C4×C73—21no—
706C2×C4×C73—21no—
707C2×C4×C73—21no—
708C2×C4×C73—21no—
709C2×C4×C73—41no—
710C2×C4×C73—41no—
711C2×C4×C73—41no—
712C2×C4×C73—41no—
713C2×C4×C73—41no—
714C2×C4×C73C22×D411yescharacteristic
715C2×C4×C73C22×D411yescharacteristic
716C2×C4×C73C22×D411yescharacteristic
717C2×C4×C73C22×D411yescharacteristic
718C2×C4×C73C22×D411yescharacteristic
719C2×C4×C73C22×D411yescharacteristic
720C2×C4×C73C22×D411yescharacteristic
721C2×C4×C73C22×D411yescharacteristic
722C2×C4×C73C22×D411yescharacteristic
723C2×C4×C73C22×D411yescharacteristic
724C2×C4×C73C22×D411yescharacteristic
725C2×C4×C73C2511yescharacteristic
726C22⋊D73—42no—
727C22⋊D73—42no—
728C22⋊D73—42no—
729C22⋊D73—42no—
730C22⋊D73—42no—
731C22⋊D73—81no—
732C22⋊D73—81no—
733C2×Dic73—21no—
734C2×Dic73—21no—
735C2×Dic73—21no—
736C2×Dic73—21no—
737C2×Dic73—21no—
738C2×Dic73—21no—
739C2×Dic73—21no—
740C2×Dic73—21no—
741C2×Dic73—21no—
742C2×Dic73—21no—
743C2×Dic73—21no—
744C2×Dic73—21no—
745C2×Dic73—21no—
746C2×Dic73—42no—
747C2×Dic73—42no—
748C2×Dic73—42no—
749C2×Dic73—42no—
750C2×Dic73—42no—
751D292—21no—
752D292—21no—
753D292—21no—
754D292—21no—
755D292—21no—
756D292—42no—
757D292C2×#4112yes—
758C4×D73—42no—
759C4×D73—42no—
760C4×D73—42no—
761C4×D73—42no—
762C4×D73—42no—
763C4×D73—42no—
764C4×D73—42no—
765C4×D73—42no—
766C4×D73—42no—
767C4×D73—81no—
768C4×D73—81no—
769Dic146—21no—
770Dic146—21no—
771Dic146—21no—
772Dic146—21no—
773Dic146—21no—
774Dic146—21no—
775Dic146—21no—
776Dic146—21no—
777Dic146—21no—
778Dic146—42no—
779Dic146—42no—
780Dic146—42no—
781Dic146—81no—
782Dic146C2×#4112yes—
783C8×C73—21no—
784C8×C73—21no—
785C8×C73—21no—
786C8×C73—21no—
787C8×C73—21no—
788C8×C73—21no—
789C8×C73—21no—
790C8×C73C2×#4112yes—
791C22×C73—21no—
792C22×C73—21no—
793C22×C73—21no—
794C22×C73—21no—
795C22×C73—21no—
796C22×C73—21no—
797C22×C73—21no—
798C22×C73—21no—
799C22×C73#57512yes—
800C22×C73C23×D411yescharacteristic
801C2×D73—22no—
802C2×D73—41no—
803C2×D73—41no—
804C2×D73—41no—
805C2×D73—41no—
806C2×D73—41no—
807C2×D73—41no—
808C2×D73—41no—
809C2×D73—41no—
810C2×D73—84no—
811C4×C73—21no—
812C4×C73—21no—
813C4×C73—21no—
814C4×C73—21no—
815C4×C73—21no—
816C4×C73—21no—
817C4×C73—21no—
818C4×C73—21no—
819C4×C73—21no—
820C4×C73—21no—
821C4×C73—21no—
822C4×C73C22×#4111yescharacteristic
823C4×C73#58511yescharacteristic
824Dic73—22no—
825Dic73—41no—
826Dic73—41no—
827Dic73—41no—
828Dic73—41no—
829Dic73—41no—
830Dic73—41no—
831Dic73—41no—
832Dic73—41no—
833Dic73—41no—
834Dic73—41no—
835Dic73—41no—
836Dic73—41no—
837#61455—731nomaximal, Sylow
838C2×C73—22no—
839C2×C73—41no—
840C2×C73—41no—
841C2×C73D4×#4111yescharacteristic
842C2×C73C2×#57511yescharacteristic
843C2×C73#358611yescharacteristic
844D73—42no—
845D73—81no—
846D73—81no—
847#3482—731no—
848#3475—731no—
849#3402—731no—
850#3388—731no—
851#3377—731no—
852#3376—731no—
853#3348—731no—
854#3343—731no—
855#3336—731no—
856#3321—731no—
857#3315—731no—
858#3312—731no—
859#3306—731no—
860#3300—731no—
861#3296—731no—
862#3282—731no—
863#3269—731no—
864#3266—731no—
865#3183—731no—
866#3181—731no—
867#3181—731no—
868#3117—731no—
869#3116—731no—
870#3114—731no—
871#3113—731no—
872#3111—731no—
873#3111—731no—
874#2970D7311yescharacteristic, complemented
875C4×#137—731no—
876#2943—731no—
877C2×#440—731no—
878C73#6145511yescharacteristic, complemented, Sylow
879C2×#137—731no—
880C2×#135—731no—
881C22×SD16—731no—
882#557—731no—
883#556—731no—
884#556—731no—
885#556—1461no—
886#555—731no—
887#554—731no—
888#553—1461no—
889#552—731no—
890#552—731no—
891#552—731no—
892#552—731no—
893#552—1461no—
894#552—1461no—
895#552—1461no—
896#551—1461no—
897#551—1461no—
898D4×Q8—731no—
899#548—731no—
900#548—731no—
901#547—731no—
902#547—731no—
903#547—1461no—
904#546—731no—
905#546—731no—
906#533—731no—
907#533—731no—
908#533—1461no—
909#529—731no—
910#529—731no—
911#529—731no—
912#529—731no—
913#529—1461no—
914#529—1461no—
915#529—1461no—
916#529—1461no—
917#525—1461no—
918C4×#41—731no—
919C4×#41—731no—
920C4×#41—731no—
921C4×#41—1461no—
922C4×#41C2×D7311yescharacteristic
923C2×C4×Q8—731no—
924C2×C4×Q8—731no—
925C2×C4×D4—731no—
926C2×#117—1461no—
927#501—731no—
928#501—731no—
929#499—731no—
930#497—731no—
931#497—731no—
932#495—731no—
933#491—731no—
934#491—731no—
935#489—731no—
936#489—731no—
937#488—731no—
938#488—731no—
939#485—731no—
940#485—731no—
941#485—731no—
942#485—731no—
943#484—731no—
944#483—731no—
945#483—731no—
946#483—731no—
947#482—731no—
948#482—731no—
949#481—731no—
950#480—731no—
951#479—731no—
952#479—731no—
953#479—731no—
954#479—731no—
955#478—731no—
956#478—731no—
957#478—731no—
958#478—731no—
959#477—731no—
960#476—731no—
961#475—731no—
962#475—731no—
963#470—731no—
964#469—731no—
965#468—731no—
966#468—731no—
967#467—731no—
968#467—731no—
969#467—731no—
970#467—731no—
971#465—731no—
972#465—731no—
973#465—731no—
974#465—731no—
975#464—731no—
976#464—731no—
977#464—731no—
978#464—731no—
979#463—731no—
980#463—731no—
981#463—731no—
982#463—731no—
983#462—731no—
984#462—731no—
985#462—731no—
986#461—731no—
987#452—731no—
988#452—731no—
989#452—731no—
990#452—731no—
991#451—731no—
992#451—731no—
993#451—731no—
994#450—731no—
995#449—731no—
996#449—731no—
997#448—731no—
998#447—731no—
999#446C2×D7311yescharacteristic, complemented
1000#446C2×D7311yescharacteristic, complemented
1001#442—731no—
1002#442—731no—
1003#442—731no—
1004#441—731no—
1005#441—731no—
1006#441—731no—
1007#441—731no—
1008#441—731no—
1009#441—731no—
1010#441—731no—
1011#440—731no—
1012#440—731no—
1013#440—731no—
1014#440—731no—
1015#440—731no—
1016#440—731no—
1017#440—731no—
1018#440—731no—
1019#440—731no—
1020#440—731no—
1021#440—731no—
1022#440—731no—
1023#440—731no—
1024#440—731no—
1025C4×Q16—731no—
1026C4×Q16—731no—
1027C4×SD16—731no—
1028C4×SD16—731no—
1029#435C2×D7311yescharacteristic
1030#435C2×D7311yescharacteristic
1031#435C2×D7311yescharacteristic, complemented
1032#435C2×D7311yescharacteristic, complemented
1033C8×D4C2×D7311yescharacteristic
1034C8×D4C2×D7311yescharacteristic
1035#432C2×D7311yescharacteristic
1036#432C2×D7311yescharacteristic, complemented
1037#432C2×D7311yescharacteristic, complemented
1038#428—731no—
1039#427—731no—
1040C2×#107—731no—
1041#419—731no—
1042#417—731no—
1043#416—731no—
1044#416—731no—
1045C2×#103—731no—
1046C2×#102—731no—
1047C4×M16C2×D7311yescharacteristic, complemented
1048C2×#97C2×D7311yescharacteristic
1049C2×#97C2×D7311yescharacteristic, complemented
1050C2×#41—731no—
1051C2×#41—731no—
1052C2×#41—731no—
1053C2×#41—1461no—
1054C2×#41D29211yescharacteristic
1055C22×Q8—731no—
1056C22×Q8—731no—
1057C22×D4—731no—
1058C23×C4—1461no—
1059#137—1464no—
1060#135—1464no—
1061C2×Q16—731no—
1062C2×Q16—731no—
1063C2×Q16—731no—
1064C2×Q16—731no—
1065C2×Q16—731no—
1066C2×Q16—731no—
1067C2×SD16—731no—
1068C2×SD16—731no—
1069C2×SD16—731no—
1070C2×SD16—731no—
1071C2×SD16—731no—
1072C2×SD16—731no—
1073C2×SD16—731no—
1074C2×SD16—731no—
1075C2×SD16—1464no—
1076C2×D8—731no—
1077C2×D8—731no—
1078C2×M16C22×D7311yescharacteristic
1079C2×M16C22×D7311yescharacteristic
1080C22×C8C22×D7311yescharacteristic
1081C22×C8C22×D7311yescharacteristic
1082C22×C8C22×D7311yescharacteristic
1083C22×C8C22×D7311yescharacteristic
1084C4⋊Q8—731no—
1085C4⋊Q8—731no—
1086C4⋊Q8—731no—
1087C4⋊Q8—731no—
1088C4⋊Q8—1461no—
1089C4⋊Q8—1461no—
1090#126—1461no—
1091#126—1461no—
1092#126—1461no—
1093#126—1461no—
1094#126—1461no—
1095#126—1461no—
1096#126—1461no—
1097#126—1461no—
1098#126—1461no—
1099#126—1461no—
1100#126—1461no—
1101#126—1461no—
1102#125—731no—
1103#125—731no—
1104#125—731no—
1105#125—731no—
1106#125—1461no—
1107#125—1461no—
1108#125—1461no—
1109#125—1461no—
1110#125—1461no—
1111#125—1461no—
1112#125—1461no—
1113#125—1461no—
1114#124—731no—
1115#124—731no—
1116#124—731no—
1117#124—731no—
1118#124—1461no—
1119#124—1461no—
1120#124—1461no—
1121#124—1461no—
1122#123—1461no—
1123#123—1461no—
1124#123—1461no—
1125#123—1461no—
1126#123—1461no—
1127#123—1461no—
1128#123—1461no—
1129#123—1461no—
1130#123—1461no—
1131#123—1461no—
1132#123—1461no—
1133#123—1461no—
1134#123—1461no—
1135#123—1461no—
1136C22⋊Q8—731no—
1137C22⋊Q8—731no—
1138C22⋊Q8—731no—
1139C22⋊Q8—731no—
1140C22⋊Q8—731no—
1141C22⋊Q8—731no—
1142C22⋊Q8—731no—
1143C22⋊Q8—731no—
1144C22⋊Q8—1461no—
1145C22⋊Q8—1461no—
1146C22⋊Q8—1461no—
1147C22⋊Q8—1461no—
1148C22⋊Q8—1461no—
1149C22⋊Q8—1461no—
1150C22⋊Q8—1461no—
1151C22⋊Q8—1461no—
1152C22⋊Q8—1461no—
1153C22⋊Q8—1461no—
1154C22⋊Q8—1461no—
1155C22⋊Q8—1461no—
1156#121—731no—
1157#121—731no—
1158#121—731no—
1159#121—731no—
1160#121—1461no—
1161#121—1461no—
1162#121—1461no—
1163#121—1461no—
1164#121—1461no—
1165#121—1461no—
1166#120—1461no—
1167#120—1461no—
1168C4×Q8—731no—
1169C4×Q8—731no—
1170C4×Q8—731no—
1171C4×Q8—731no—
1172C4×Q8—731no—
1173C4×Q8—731no—
1174C4×Q8—731no—
1175C4×Q8—731no—
1176C4×Q8—731no—
1177C4×Q8—731no—
1178C4×Q8—731no—
1179C4×Q8—731no—
1180C4×Q8—1461no—
1181C4×Q8—1461no—
1182C4×Q8—1461no—
1183C4×Q8—1461no—
1184C4×Q8—1461no—
1185C4×Q8—1461no—
1186C4×Q8—1461no—
1187C4×Q8D29211yescharacteristic
1188C4×Q8C22×D7311yescharacteristic
1189C4×D4—731no—
1190C4×D4—731no—
1191C4×D4—731no—
1192C4×D4—731no—
1193C4×D4—731no—
1194C4×D4—731no—
1195C4×D4—731no—
1196C4×D4—731no—
1197C4×D4—1461no—
1198C4×D4—1461no—
1199C4×D4—1461no—
1200C4×D4—1461no—
1201C4×D4—1461no—
1202C4×D4—1461no—
1203C4×D4—1461no—
1204C4×D4—1461no—
1205C4×D4—1461no—
1206C4×D4—1461no—
1207C4×D4—1461no—
1208C4×D4—1461no—
1209C4×D4—1461no—
1210C4×D4—1461no—
1211C4×D4—1461no—
1212C4×D4D29211yescharacteristic
1213C4×D4D29211yescharacteristic
1214C4×D4D29211yescharacteristic
1215C4×D4C22×D7311yescharacteristic
1216C4×D4C22×D7311yescharacteristic
1217C4×D4C22×D7311yescharacteristic
1218#117—731no—
1219#117—731no—
1220#117—731no—
1221#117—1461no—
1222#117—1461no—
1223#117—1461no—
1224#117—1461no—
1225#117—1461no—
1226#117—1461no—
1227#117—1461no—
1228#117—1461no—
1229#117—1461no—
1230#117—1461no—
1231#117—1461no—
1232#117—1461no—
1233#117—1461no—
1234#117—1461no—
1235#117—1461no—
1236#117—1461no—
1237#117D29211yescharacteristic
1238#117D29211yescharacteristic
1239#117D29211yescharacteristic
1240C2×C4⋊C4—731no—
1241C2×C4⋊C4—731no—
1242C2×C4⋊C4—731no—
1243C2×C4⋊C4—1461no—
1244C2×C4⋊C4—1461no—
1245C2×C4⋊C4—1461no—
1246C2×C4⋊C4—1461no—
1247C2×C22⋊C4—1461no—
1248C2×C22⋊C4—1461no—
1249C2×C22⋊C4—1461no—
1250C2×C42—1461no—
1251C2×C42—1461no—
1252C2×C42—1461no—
1253C2×C42—1461no—
1254C2×C42—1461no—
1255C2×C42C22×D7311yescharacteristic
1256C2×C42C22×D7311yescharacteristic
1257C2×C42C22×D7311yescharacteristic
1258#107—731no—
1259#107—731no—
1260#107—731no—
1261#107—731no—
1262#107—731no—
1263#107—731no—
1264#107—731no—
1265#107—731no—
1266#106—731no—
1267#106—731no—
1268#106—731no—
1269#106—731no—
1270#106—731no—
1271#106—731no—
1272#106—731no—
1273#106—731no—
1274C4⋊C8C22×D7311yescharacteristic
1275C4⋊C8C22×D7311yescharacteristic
1276C4⋊C8C22×D7311yescharacteristic
1277C4⋊C8C22×D7311yescharacteristic
1278C4⋊C8C22×D7311yescharacteristic
1279C4⋊C8C22×D7311yescharacteristic
1280#103—731no—
1281#103—731no—
1282#103—731no—
1283#103—731no—
1284#103—731no—
1285#103—731no—
1286#103—731no—
1287#103—731no—
1288#103—731no—
1289#103—731no—
1290#103—731no—
1291#103—731no—
1292#103—731no—
1293#103—731no—
1294#103—731no—
1295#103—731no—
1296#103—731no—
1297#103—731no—
1298#103—731no—
1299#103—731no—
1300#102—731no—
1301#102—731no—
1302#102—731no—
1303#102—731no—
1304#102—731no—
1305#102—731no—
1306#102—731no—
1307#102—731no—
1308#102—731no—
1309#102—731no—
1310#102—731no—
1311#102—731no—
1312C22⋊C8C22×D7311yescharacteristic
1313C22⋊C8C22×D7311yescharacteristic
1314C22⋊C8C22×D7311yescharacteristic
1315C22⋊C8C22×D7311yescharacteristic
1316C22⋊C8C22×D7311yescharacteristic
1317C22⋊C8C22×D7311yescharacteristic
1318#97C22×D7311yescharacteristic
1319#97C22×D7311yescharacteristic
1320#97C22×D7311yescharacteristic
1321#97C22×D7311yescharacteristic
1322#97C22×D7311yescharacteristic
1323#97C22×D7311yescharacteristic
1324#97C22×D7311yescharacteristic
1325#97C22×D7311yescharacteristic
1326C4×C8C22×D7311yescharacteristic
1327C4×C8C22×D7311yescharacteristic
1328C24—1461no—
1329#41—42no—
1330#41—2921no—
1331#41—2921no—
1332#41—2921no—
1333#41—2924no—
1334#41—1462no—
1335#41—1462no—
1336#41—1462no—
1337C2×Q8—2921no—
1338C2×Q8—2921no—
1339C2×Q8—731no—
1340C2×Q8—731no—
1341C2×Q8—731no—
1342C2×Q8—731no—
1343C2×Q8—731no—
1344C2×Q8—1462no—
1345C2×Q8—1462no—
1346C2×Q8—1461no—
1347C2×Q8—1461no—
1348C2×Q8—1461no—
1349C2×Q8—1461no—
1350C2×Q8C2×D29211yescharacteristic
1351C2×D4—2921no—
1352C2×D4—731no—
1353C2×D4—731no—
1354C2×D4—731no—
1355C2×D4—1462no—
1356C2×D4—1461no—
1357C2×D4—1461no—
1358C2×D4—1461no—
1359C2×D4—1461no—
1360C2×D4—1461no—
1361C2×D4—1461no—
1362C2×D4—1461no—
1363C2×D4—1461no—
1364C2×D4C2×D29211yescharacteristic
1365C2×D4C2×D29211yescharacteristic
1366C2×D4C2×D29211yescharacteristic
1367C22×C4—2924no—
1368C22×C4—1461no—
1369C22×C4—1461no—
1370C22×C4—1461no—
1371C22×C4—1461no—
1372C22×C4—1461no—
1373C22×C4—1461no—
1374C22×C4—1461no—
1375C22×C4—1461no—
1376C22×C4—1461no—
1377C22×C4—1461no—
1378C22×C4—1461no—
1379C22×C4—1461no—
1380C22×C4—1461no—
1381C22×C4—1461no—
1382C22×C4—1461no—
1383C22×C4—1461no—
1384C22×C4C2×D29211yescharacteristic
1385C22×C4C2×D29211yescharacteristic
1386C22×C4C2×D29211yescharacteristic
1387C22×C4C2×D29211yescharacteristic
1388C22×C4C2×D29211yescharacteristic
1389C22×C4C2×D29211yescharacteristic
1390C22×C4C23×D7311yescharacteristic
1391C22×C4C23×D7311yescharacteristic
1392C22×C4C23×D7311yescharacteristic
1393Q16—2921no—
1394Q16—2921no—
1395Q16—2921no—
1396Q16—1462no—
1397Q16—1462no—
1398Q16—1462no—
1399SD16—2921no—
1400SD16—2921no—
1401SD16—734no—
1402SD16—1462no—
1403SD16—1462no—
1404SD16—1462no—
1405SD16—1462no—
1406SD16—1462no—
1407D8—2921no—
1408D8—1462no—
1409M16—22no—
1410M16—41no—
1411C2×C8—22no—
1412C2×C8—22no—
1413C2×C8—41no—
1414C2×C8—41no—
1415C2×C8C23×D7311yescharacteristic
1416C2×C8C23×D7311yescharacteristic
1417C2×C8C23×D7311yescharacteristic
1418C2×C8C23×D7311yescharacteristic
1419C2×C8C23×D7311yescharacteristic
1420C2×C8C23×D7311yescharacteristic
1421C2×C8C23×D7311yescharacteristic
1422C2×C8C23×D7311yescharacteristic
1423C4⋊C4—731no—
1424C4⋊C4—731no—
1425C4⋊C4—731no—
1426C4⋊C4—731no—
1427C4⋊C4—731no—
1428C4⋊C4—731no—
1429C4⋊C4—731no—
1430C4⋊C4—731no—
1431C4⋊C4—1461no—
1432C4⋊C4—1461no—
1433C4⋊C4—1461no—
1434C4⋊C4—1461no—
1435C4⋊C4—1461no—
1436C4⋊C4—1461no—
1437C4⋊C4—1461no—
1438C4⋊C4—1461no—
1439C4⋊C4—1461no—
1440C4⋊C4—1461no—
1441C4⋊C4—1461no—
1442C4⋊C4—1461no—
1443C4⋊C4—1461no—
1444C4⋊C4—1461no—
1445C4⋊C4—1461no—
1446C4⋊C4—1461no—
1447C4⋊C4—1461no—
1448C4⋊C4—1461no—
1449C4⋊C4—1461no—
1450C4⋊C4—1461no—
1451C4⋊C4—1461no—
1452C4⋊C4—1461no—
1453C4⋊C4—1461no—
1454C4⋊C4—1461no—
1455C4⋊C4—1461no—
1456C4⋊C4—1461no—
1457C4⋊C4—1461no—
1458C4⋊C4—1461no—
1459C4⋊C4—1461no—
1460C4⋊C4—1461no—
1461C4⋊C4—1461no—
1462C4⋊C4—1461no—
1463C4⋊C4—1461no—
1464C4⋊C4—1461no—
1465C4⋊C4—1461no—
1466C4⋊C4—1461no—
1467C4⋊C4—1461no—
1468C4⋊C4C2×D29211yescharacteristic
1469C4⋊C4C2×D29211yescharacteristic
1470C4⋊C4C2×D29211yescharacteristic
1471C4⋊C4C2×D29211yescharacteristic
1472C4⋊C4C2×D29211yescharacteristic
1473C4⋊C4C2×D29211yescharacteristic
1474C22⋊C4—1461no—
1475C22⋊C4—1461no—
1476C22⋊C4—1461no—
1477C22⋊C4—1461no—
1478C22⋊C4—1461no—
1479C22⋊C4—1461no—
1480C22⋊C4—1461no—
1481C22⋊C4—1461no—
1482C22⋊C4—1461no—
1483C22⋊C4—1461no—
1484C22⋊C4—1461no—
1485C22⋊C4—1461no—
1486C22⋊C4—1461no—
1487C22⋊C4—1461no—
1488C22⋊C4—1461no—
1489C22⋊C4—1461no—
1490C22⋊C4—1461no—
1491C22⋊C4—1461no—
1492C22⋊C4—1461no—
1493C22⋊C4—1461no—
1494C22⋊C4—1461no—
1495C22⋊C4—1461no—
1496C22⋊C4—1461no—
1497C22⋊C4—1461no—
1498C22⋊C4—1461no—
1499C22⋊C4—1461no—
1500C22⋊C4—1461no—
1501C22⋊C4—1461no—
1502C22⋊C4—1461no—
1503C22⋊C4—1461no—
1504C22⋊C4—1461no—
1505C22⋊C4C2×D29211yescharacteristic
1506C22⋊C4C2×D29211yescharacteristic
1507C22⋊C4C2×D29211yescharacteristic
1508C22⋊C4C2×D29211yescharacteristic
1509C22⋊C4C2×D29211yescharacteristic
1510C22⋊C4C2×D29211yescharacteristic
1511C42—1461no—
1512C42—1461no—
1513C42—1461no—
1514C42—1461no—
1515C42—1461no—
1516C42—1461no—
1517C42—1461no—
1518C42—1461no—
1519C42—1461no—
1520C42—1461no—
1521C42—1461no—
1522C42—1461no—
1523C42—1461no—
1524C42—1461no—
1525C42—1461no—
1526C42C2×D29211yescharacteristic
1527C42C2×D29211yescharacteristic
1528C42C2×D29211yescharacteristic
1529C42C2×D29211yescharacteristic
1530C42C2×D29211yescharacteristic
1531C42C2×D29211yescharacteristic
1532C42C23×D7311yescharacteristic
1533C42C23×D7311yescharacteristic
1534C42C23×D7311yescharacteristic
1535C42C23×D7311yescharacteristic
1536C23—2922no—
1537C23—2922no—
1538C23—5841no—
1539C23—1461no—
1540C23—1461no—
1541C23—1461no—
1542C23C22×D29211yescharacteristic
1543C23C22×D29211yescharacteristic
1544C23C22×D29211yescharacteristic
1545Q8—41no—
1546Q8—2922no—
1547Q8—2922no—
1548Q8—2922no—
1549Q8—5841no—
1550Q8—732no—
1551Q8—1461no—
1552Q8—1461no—
1553Q8—1461no—
1554Q8—1461no—
1555Q8—1461no—
1556Q8—1461no—
1557Q8—1461no—
1558Q8—1461no—
1559Q8—1461no—
1560D4—22no—
1561D4—22no—
1562D4—41no—
1563D4—2922no—
1564D4—2922no—
1565D4—2922no—
1566D4—2922no—
1567D4—2922no—
1568D4—2922no—
1569D4—5841no—
1570D4—5841no—
1571D4—732no—
1572D4—1461no—
1573D4—1461no—
1574D4—1461no—
1575D4—1461no—
1576D4—1461no—
1577C2×C4—22no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—41no—
1585C2×C4—41no—
1586C2×C4—41no—
1587C2×C4—41no—
1588C2×C4—41no—
1589C2×C4—2922no—
1590C2×C4—2922no—
1591C2×C4—2922no—
1592C2×C4—2922no—
1593C2×C4—2922no—
1594C2×C4—2922no—
1595C2×C4—2922no—
1596C2×C4—2922no—
1597C2×C4—2922no—
1598C2×C4—2922no—
1599C2×C4—2922no—
1600C2×C4—2922no—
1601C2×C4—2922no—
1602C2×C4—2922no—
1603C2×C4—5841no—
1604C2×C4—5841no—
1605C2×C4—1461no—
1606C2×C4—1461no—
1607C2×C4—1461no—
1608C2×C4—1461no—
1609C2×C4—1461no—
1610C2×C4—1461no—
1611C2×C4—1461no—
1612C2×C4—1461no—
1613C2×C4—1461no—
1614C2×C4—1461no—
1615C2×C4—1461no—
1616C2×C4—1461no—
1617C2×C4—1461no—
1618C2×C4C22×D29211yescharacteristic
1619C2×C4C22×D29211yescharacteristic
1620C2×C4C22×D29211yescharacteristic
1621C2×C4C22×D29211yescharacteristic
1622C2×C4C22×D29211yescharacteristic
1623C2×C4C22×D29211yescharacteristic
1624C2×C4C22×D29211yescharacteristic
1625C2×C4C22×D29211yescharacteristic
1626C2×C4C22×D29211yescharacteristic
1627C2×C4C22×D29211yescharacteristic
1628C2×C4C22×D29211yescharacteristic
1629C2×C4C24×D7311yescharacteristic
1630C8—21no—
1631C8—21no—
1632C8—21no—
1633C8—21no—
1634C8—21no—
1635C8—21no—
1636C8—21no—
1637C8#41×D7312yes—
1638C22—21no—
1639C22—21no—
1640C22—21no—
1641C22—21no—
1642C22—21no—
1643C22—21no—
1644C22—21no—
1645C22—21no—
1646C22—2921no—
1647C22—2921no—
1648C22—2921no—
1649C22—2921no—
1650C22—2921no—
1651C22—2921no—
1652C22—2921no—
1653C22—2921no—
1654C22—5844no—
1655C22—1462no—
1656C22#1798938712yes—
1657C22C23×D29211yescharacteristic
1658C4—21no—
1659C4—21no—
1660C4—21no—
1661C4—21no—
1662C4—21no—
1663C4—21no—
1664C4—21no—
1665C4—21no—
1666C4—21no—
1667C4—21no—
1668C4—21no—
1669C4—2921no—
1670C4—2921no—
1671C4—2921no—
1672C4—2921no—
1673C4—2921no—
1674C4—2921no—
1675C4—2921no—
1676C4—2921no—
1677C4—2921no—
1678C4—2921no—
1679C4—2921no—
1680C4—2921no—
1681C4—1462no—
1682C4C2×#41×D7311yescharacteristic
1683C4#1798942311yescharacteristic
1684C2—22no—
1685C2—41no—
1686C2—41no—
1687C2—2922no—
1688C2—5841no—
1689C2—5841no—
1690C2#41×D29211yescharacteristic
1691C2C2×#1798938711yescharacteristic
1692C2#2262471911yescharacteristic
subgroupG/H
centerC22C23×D292
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#2970C2
socleC22×C73C23×D4
hypercenter#2970D73
hypocenterC73#61455
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×#41 ◁ #2970

Complements

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

NH ≅ G/Ntype
1. #22623546C2semidirect
2. #22623495C2semidirect
3. #22623012C2semidirect
4. #22622878C2semidirect
5. #22622775C2semidirect
6. #22622760C2semidirect
7. #22622448C2semidirect
8. #22622373C2semidirect
9. #22622300C2semidirect
10. #22622119C2semidirect
11. #22622029C2semidirect
12. #22621984C2semidirect
13. #22621894C2semidirect
14. #22621820C2semidirect
15. #22621768C2semidirect
16. #22621643C2semidirect
17. #22621491C2semidirect
18. #22621446C2semidirect
19. #22620660C2semidirect
20. #22620640C2semidirect
21. #22620640C2semidirect
22. #22620104C2semidirect
23. #22620094C2semidirect
24. #22620071C2semidirect
25. #22620062C2semidirect
26. #22620042C2semidirect
27. #22620042C2semidirect
28. C4×#14556624C2semidirect
29. #22618733C2semidirect
30. C2×#17988689C2semidirect
31. C73×#2970C2semidirect
35. #17989315C22semidirect
37. #17989310C22semidirect
46. #17989277C22semidirect
53. #17989246C22semidirect
60. #17989144C22semidirect
65. #17989121C22semidirect
73. C4×#11924028C22semidirect
76. C2×C4×Dic146C22semidirect
79. #17988996C22semidirect
80. #17988996C22semidirect
81. #17988989C22semidirect
83. #17988981C22semidirect
85. #17988956C22semidirect
86. #17988956C22semidirect
88. #17988947C22semidirect
90. #17988942C22semidirect
91. #17988929C22semidirect
92. #17988929C22semidirect
93. #17988929C22semidirect
94. #17988929C22semidirect
95. #17988923C22semidirect
100. #17988912C22semidirect
103. #17988895C22semidirect
104. #17988895C22semidirect
105. #17988895C22semidirect
106. #17988895C22semidirect
110. #17988888C22semidirect
111. #17988883C22semidirect
113. #17988873C22semidirect
114. #17988873C22semidirect
115. #17988845C22semidirect
118. #17988833C22semidirect
121. #17988828C22semidirect
122. #17988828C22semidirect
130. #17988810C22semidirect
135. #17988798C22semidirect
136. #17988798C22semidirect
137. #17988798C22semidirect
142. #17988751C22semidirect
145. #17988745C22semidirect
154. #17988695C22semidirect
155. #17988695C22semidirect
156. #17988695C22semidirect
157. #17988695C22semidirect
158. #17988695C22semidirect
159. #17988695C22semidirect
160. #17988695C22semidirect
172. #17988689C22semidirect
173. #17988689C22semidirect
174. #17988689C22semidirect
175. C4×Dic292C22semidirect
176. C4×Dic292C22semidirect
179. #17988629C22semidirect
180. #17988625C22semidirect
182. #17988597C22semidirect
185. #17988584C22semidirect
189. #446×C73C22semidirect
190. #446×C73C22semidirect
193. #435×C73C22semidirect
194. #435×C73C22semidirect
198. #432×C73C22semidirect
199. #432×C73C22semidirect
200. C4×M16×C73C22semidirect
202. C2×#97×C73C22semidirect
545. #11924017#41semidirect
874. #2970D73semidirect
878. C73#61455semidirect
999. #446C2×D73semidirect
1000. #446C2×D73semidirect
1031. #435C2×D73semidirect
1032. #435C2×D73semidirect
1036. #432C2×D73semidirect
1037. #432C2×D73semidirect
1047. C4×M16C2×D73semidirect
1049. C2×#97C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226235462
#226234952
#226230122
#226228782
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