Finite Group Databasebeta

← #33968042

Subgroups — #33968042

Order 18688.

1910 conjugacy classes of subgroups.

The subgroup lattice has 1742 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623541C211yesmaximal, characteristic, complemented
2#22623524C211yesmaximal, characteristic, complemented
3#22623021C211yesmaximal, characteristic, complemented
4#22622878C211yesmaximal, characteristic, complemented
5#22622701C211yesmaximal, characteristic, complemented
6#22622686C211yesmaximal, characteristic, complemented
7#22622478C211yesmaximal, characteristic, complemented
8#22622418C211yesmaximal, characteristic, complemented
9#22622334C211yesmaximal, characteristic, complemented
10#22622074C211yesmaximal, characteristic, complemented
11#22622044C211yesmaximal, characteristic, complemented
12#22621969C211yesmaximal, characteristic, complemented
13#22621939C211yesmaximal, characteristic, complemented
14#22621835C211yesmaximal, characteristic, complemented
15#22621783C211yesmaximal, characteristic, complemented
16#22621643C211yesmaximal, characteristic, complemented
17#22621476C211yesmaximal, characteristic, complemented
18#22621431C211yesmaximal, characteristic, complemented
19#22620660C211yesmaximal, characteristic, complemented
20#22620629C211yesmaximal, characteristic, complemented
21#22620629C211yesmaximal, characteristic, complemented
22#22620104C211yesmaximal, characteristic, complemented
23#22620083C211yesmaximal, characteristic, complemented
24#22620071C211yesmaximal, characteristic, complemented
25#22620042C211yesmaximal, characteristic, complemented
26#22620042C211yesmaximal, characteristic, complemented
27#22620023C211yesmaximal, characteristic, complemented
28C4×#14556619C211yesmaximal, characteristic, complemented
29#22618733C211yesmaximal, characteristic, complemented
30C2×#17988689C211yesmaximal, characteristic, complemented
31C73×#2970C211yesmaximal, characteristic, complemented
32C2×#14556619C2211yescharacteristic
33C2×#14556613C2211yescharacteristic
34C22×#11924017C2211yescharacteristic
35#17989322C2211yescharacteristic
36#17989322C2211yescharacteristic, complemented
37#17989320—21no—
38#17989315C2211yescharacteristic, complemented
39#17989309—21no—
40#17989307C2211yescharacteristic, complemented
41#17989297C2211yescharacteristic
42#17989294C2211yescharacteristic
43#17989286—21no—
44#17989286—21no—
45#17989283C2211yescharacteristic
46#17989283C2211yescharacteristic
47#17989283C2211yescharacteristic
48#17989283C2211yescharacteristic, complemented
49#17989281—21no—
50#17989261—21no—
51#17989261—21no—
52#17989258C2211yescharacteristic, complemented
53#17989246C2211yescharacteristic
54#17989246C2211yescharacteristic, complemented
55#17989233C2211yescharacteristic
56#17989233C2211yescharacteristic
57#17989225—21no—
58D4×D292C2211yescharacteristic
59#17989137C2211yescharacteristic
60#17989137C2211yescharacteristic, complemented
61#17989133—21no—
62#17989124—21no—
63#17989121C2211yescharacteristic
64#17989121C2211yescharacteristic
65#17989121C2211yescharacteristic, complemented
66#17989121C2211yescharacteristic, complemented
67#17989115—21no—
68#17989115—21no—
69#17989096—21no—
70#17989096—21no—
71C4×#11924028C2211yescharacteristic
72C4×#11924028C2211yescharacteristic, complemented
73C4×#11924028C2211yescharacteristic, complemented
74#17989055—21no—
75C2×C4×Dic146C2211yescharacteristic, complemented
76C2×C4×D292C2211yescharacteristic
77C2×C4×D292C2211yescharacteristic
78C4×D4×D73—21no—
79#17988996C2211yescharacteristic, complemented
80#17988996C2211yescharacteristic, complemented
81#17988989C2211yescharacteristic, complemented
82#17988976C2211yescharacteristic
83#17988976C2211yescharacteristic, complemented
84#17988971C2211yescharacteristic, complemented
85#17988952C2211yescharacteristic
86#17988952C2211yescharacteristic, complemented
87#17988947C2211yescharacteristic, complemented
88#17988947C2211yescharacteristic, complemented
89#17988942C2211yescharacteristic, complemented
90#17988942C2211yescharacteristic, complemented
91#17988929C2211yescharacteristic, complemented
92#17988929C2211yescharacteristic, complemented
93#17988923C2211yescharacteristic, complemented
94#17988918C2211yescharacteristic, complemented
95#17988912C2211yescharacteristic
96#17988912C2211yescharacteristic, complemented
97#17988912C2211yescharacteristic, complemented
98#17988912C2211yescharacteristic, complemented
99#17988906C2211yescharacteristic
100#17988906C2211yescharacteristic, complemented
101#17988906C2211yescharacteristic, complemented
102#17988901C2211yescharacteristic, complemented
103#17988895C2211yescharacteristic, complemented
104#17988895C2211yescharacteristic, complemented
105#17988895C2211yescharacteristic, complemented
106#17988895C2211yescharacteristic, complemented
107#17988888C2211yescharacteristic
108#17988888C2211yescharacteristic
109#17988888C2211yescharacteristic, complemented
110#17988888C2211yescharacteristic, complemented
111#17988878C2211yescharacteristic
112#17988878C2211yescharacteristic, complemented
113#17988873C2211yescharacteristic, complemented
114#17988868C2211yescharacteristic, complemented
115#17988845C2211yescharacteristic, complemented
116#17988840C2211yescharacteristic
117#17988833C2211yescharacteristic
118#17988833C2211yescharacteristic, complemented
119#17988823C2211yescharacteristic
120#17988823C2211yescharacteristic
121#17988823C2211yescharacteristic, complemented
122#17988823C2211yescharacteristic, complemented
123#17988816C2211yescharacteristic, complemented
124#17988816C2211yescharacteristic, complemented
125#17988816C2211yescharacteristic, complemented
126#17988816C2211yescharacteristic, complemented
127#17988810C2211yescharacteristic, complemented
128#17988810C2211yescharacteristic, complemented
129#17988810C2211yescharacteristic, complemented
130#17988810C2211yescharacteristic, complemented
131#17988803C2211yescharacteristic
132#17988803C2211yescharacteristic
133#17988803C2211yescharacteristic, complemented
134#17988803C2211yescharacteristic, complemented
135#17988788C2211yescharacteristic
136#17988783C2211yescharacteristic
137#17988783C2211yescharacteristic
138#17988783C2211yescharacteristic, complemented
139#17988751C2211yescharacteristic
140#17988751C2211yescharacteristic, complemented
141#17988745C2211yescharacteristic, complemented
142#17988740C2211yescharacteristic
143#17988734C2211yescharacteristic
144#17988734C2211yescharacteristic
145#17988734C2211yescharacteristic, complemented
146#17988734C2211yescharacteristic, complemented
147#17988728C2211yescharacteristic
148#17988723C2211yescharacteristic
149#17988723C2211yescharacteristic
150#17988723C2211yescharacteristic
151#17988700C2211yescharacteristic
152#17988700C2211yescharacteristic
153#17988700C2211yescharacteristic
154#17988700C2211yescharacteristic, complemented
155#17988700C2211yescharacteristic, complemented
156#17988700C2211yescharacteristic, complemented
157#17988700C2211yescharacteristic, complemented
158#17988695C2211yescharacteristic, complemented
159#17988695C2211yescharacteristic, complemented
160#17988695C2211yescharacteristic, complemented
161#17988689C2211yescharacteristic
162#17988689C2211yescharacteristic
163#17988689C2211yescharacteristic
164#17988689C2211yescharacteristic
165#17988689C2211yescharacteristic
166#17988689C2211yescharacteristic, complemented
167#17988689C2211yescharacteristic, complemented
168#17988689C2211yescharacteristic, complemented
169#17988689C2211yescharacteristic, complemented
170#17988689C2211yescharacteristic, complemented
171#17988689C2211yescharacteristic, complemented
172#17988689C2211yescharacteristic, complemented
173#17988689C2211yescharacteristic, complemented
174#17988689C2211yescharacteristic, complemented
175C4×#11924017C2211yescharacteristic
176C4×#11924017C2211yescharacteristic, complemented
177C4×D584C2211yescharacteristic
178C4×D584C2211yescharacteristic, complemented
179#17988629C2211yescharacteristic, complemented
180#17988625C2211yescharacteristic, complemented
181C2×#14556525C2211yescharacteristic, complemented
182#17988593C2211yescharacteristic
183#17988589C2211yescharacteristic, complemented
184#17988584C2211yescharacteristic
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#432×C73C2211yescharacteristic, complemented
200C4×M16×C73C2211yescharacteristic, complemented
201C2×#97×C73C2211yescharacteristic, complemented
202C2×#97×C73C2211yescharacteristic, complemented
203C2×#11924028—21no—
204C2×#11924028—21no—
205C2×#11924028C2311yescharacteristic
206C2×#11924028C2311yescharacteristic
207C2×#11924028C2311yescharacteristic
208C22×Dic146C2311yescharacteristic
209C22×D292C2311yescharacteristic
210C22×D292C2311yescharacteristic
211C2×D4×D73—21no—
212C22×C4×D73—21no—
213C22×C4×D73—21no—
214#14556619—24no—
215#14556613—24no—
216C2×Dic292C2311yescharacteristic
217C2×Dic292C2311yescharacteristic
218C2×#11924017—24no—
219C2×#11924017C2311yescharacteristic
220C2×#11924017C2311yescharacteristic
221C2×#11924017C2311yescharacteristic
222C2×#11924017C2311yescharacteristic
223C2×#11924017C2311yescharacteristic
224C2×#11924017C2311yescharacteristic
225C2×#11924017C2311yescharacteristic
226C2×#11924017C2311yescharacteristic
227C2×D584C2311yescharacteristic
228C2×D584C2311yescharacteristic
229C2×D584C2311yescharacteristic
230C2×D584C2311yescharacteristic
231C2×D584C2311yescharacteristic
232C2×D584C2311yescharacteristic
233#14556591C2311yescharacteristic
234#14556591C2311yescharacteristic
235#14556589—21no—
236#14556588C2311yescharacteristic
237#14556588C2311yescharacteristic
238#14556587—21no—
239#14556586—21no—
240#14556586—21no—
241#14556586—21no—
242#14556586—21no—
243#14556585—21no—
244#14556585—21no—
245#14556585—21no—
246#14556585—21no—
247#14556584—21no—
248#14556584—21no—
249#14556583C2311yescharacteristic
250#14556583C2311yescharacteristic
251#14556583C2311yescharacteristic
252#14556583C2311yescharacteristic
253#14556582—21no—
254#14556581—21no—
255#14556581—21no—
256#14556580—21no—
257#14556580—21no—
258#14556579—21no—
259#14556579—21no—
260#14556579C2311yescharacteristic
261#14556579C2311yescharacteristic
262#14556579C2311yescharacteristic
263#14556579C2311yescharacteristic
264#14556578—21no—
265#14556577—21no—
266#14556577—21no—
267#14556576—21no—
268#14556576—21no—
269#14556576—21no—
270#14556576—21no—
271#14556576—21no—
272#14556576—21no—
273#14556574—21no—
274#14556574—21no—
275#14556574—21no—
276#14556574—21no—
277#14556573—21no—
278#14556573—21no—
279#14556573—21no—
280#14556573—21no—
281#14556570C2311yescharacteristic
282#14556570C2311yescharacteristic
283#14556570C2311yescharacteristic
284#14556570C2311yescharacteristic
285#14556569—21no—
286#14556569—21no—
287#14556569—21no—
288#14556569—21no—
289#14556568—21no—
290#14556568—21no—
291#14556567—21no—
292#14556566—21no—
293#14556565—21no—
294#14556565—21no—
295#14556565C2311yescharacteristic
296#14556565C2311yescharacteristic
297#14556565C2311yescharacteristic
298#14556565C2311yescharacteristic
299#14556565C2311yescharacteristic
300#14556565C2311yescharacteristic
301#14556565C2311yescharacteristic
302#14556565C2311yescharacteristic
303#14556564—21no—
304#14556564—21no—
305#14556564—21no—
306#14556564—21no—
307#14556563—21no—
308#14556563—21no—
309#14556563—21no—
310#14556563—21no—
311#14556563—21no—
312#14556563—21no—
313#14556561—21no—
314#14556561—21no—
315#14556559—21no—
316#14556559—21no—
317C4×Dic146—21no—
318C4×Dic146—21no—
319C4×Dic146C2311yescharacteristic
320C4×Dic146C2311yescharacteristic
321C4×Dic146C2311yescharacteristic
322C4×Dic146C2311yescharacteristic
323C4×Dic146C2311yescharacteristic
324C4×Dic146C2311yescharacteristic
325C4×Dic146C2311yescharacteristic
326C4×Dic146C2311yescharacteristic
327#14556556—21no—
328#14556556—21no—
329C4×D292—21no—
330C4×D292—21no—
331C4×D292—21no—
332C4×D292—21no—
333C4×D292—21no—
334C4×D292—21no—
335C4×D292C2311yescharacteristic
336C4×D292C2311yescharacteristic
337C4×D292C2311yescharacteristic
338C4×D292C2311yescharacteristic
339C4×D292C2311yescharacteristic
340C4×D292C2311yescharacteristic
341C4×D292C2311yescharacteristic
342C4×D292C2311yescharacteristic
343C4×D292C2311yescharacteristic
344C4×D292C2311yescharacteristic
345C4×D292C2311yescharacteristic
346C4×D292C2311yescharacteristic
347D4×Dic73—21no—
348#14556553—21no—
349#14556553—21no—
350#14556553—21no—
351C4×C22⋊D73—21no—
352C4×C22⋊D73—21no—
353C4×C22⋊D73—21no—
354C4×C22⋊D73—21no—
355C4×C22⋊D73—21no—
356C4×C22⋊D73—21no—
357C4×C22⋊D73—21no—
358C4×C22⋊D73—21no—
359C4×C22⋊D73—21no—
360C4×C22⋊D73—21no—
361#14556551—21no—
362#14556551—21no—
363#14556551—21no—
364#14556551—21no—
365#14556551—21no—
366#14556551—21no—
367#14556550C2311yescharacteristic
368#14556550C2311yescharacteristic
369#14556550C2311yescharacteristic
370#14556548—21no—
371#14556548—21no—
372#14556548—21no—
373#14556548—21no—
374#14556548—21no—
375#14556548—21no—
376#14556548—21no—
377C2×C4⋊Dic73C2311yescharacteristic
378C2×C4⋊Dic73C2311yescharacteristic
379C2×C4⋊Dic73C2311yescharacteristic
380C2×#11924007—21no—
381C4⋊C4×D73—21no—
382C2×#11924005—21no—
383C2×#11924005—21no—
384C22⋊C4×D73—21no—
385C22⋊C4×D73—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#14556513C2311yescharacteristic
419#14556513C2311yescharacteristic
420#14556513C2311yescharacteristic
421#14556513C2311yescharacteristic
422#14556513C2311yescharacteristic
423#14556513C2311yescharacteristic
424#14556513C2311yescharacteristic
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
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—
482C23×D73—21no—
483#11924028—22no—
484#11924028—22no—
485#11924028—22no—
486#11924028—41no—
487#11924028—41no—
488#11924028—41no—
489#11924028—44no—
490#11924028—82no—
491C2×Dic146—22no—
492C2×Dic146—21no—
493C2×Dic146—21no—
494C2×Dic146—21no—
495C2×Dic146—41no—
496C2×Dic146C2411yescharacteristic
497C2×Dic146C2411yescharacteristic
498C2×Dic146C2411yescharacteristic
499C2×D292—22no—
500C2×D292—22no—
501C2×D292—21no—
502C2×D292—21no—
503C2×D292—21no—
504C2×D292—21no—
505C2×D292—21no—
506C2×D292—21no—
507C2×D292—41no—
508C2×D292—41no—
509C2×D292C2411yescharacteristic
510C2×D292C2411yescharacteristic
511C2×D292C2411yescharacteristic
512C2×D292C2411yescharacteristic
513C2×D292C2411yescharacteristic
514C2×C22⋊D73—21no—
515C2×C22⋊D73—21no—
516C2×C22⋊D73—21no—
517C2×C22⋊D73—21no—
518C2×C22⋊D73—21no—
519C2×C22⋊D73—21no—
520C2×C22⋊D73—21no—
521C2×C22⋊D73—21no—
522C2×C22⋊D73—21no—
523C2×C22⋊D73—21no—
524C2×C22⋊D73—21no—
525D4×D73—44no—
526C22×Dic73—21no—
527C22×Dic73—21no—
528C22×Dic73—21no—
529C22×Dic73—21no—
530C2×C4×D73—21no—
531C2×C4×D73—21no—
532C2×C4×D73—21no—
533C2×C4×D73—21no—
534C2×C4×D73—21no—
535C2×C4×D73—21no—
536C2×C4×D73—21no—
537C2×C4×D73—21no—
538C2×C4×D73—21no—
539C2×C4×D73—21no—
540C2×C4×D73—21no—
541C2×C4×D73—21no—
542C2×C4×D73—21no—
543C2×C4×D73—21no—
544C2×C4×D73—21no—
545C2×C4×D73—82no—
546C2×C4×D73—82no—
547Dic292—22no—
548Dic292—41no—
549#11924017—22no—
550#11924017—22no—
551#11924017—22no—
552#11924017—22no—
553#11924017—22no—
554#11924017—41no—
555#11924017—41no—
556#11924017#4114yescomplemented
557D584—22no—
558D584—22no—
559D584—22no—
560D584—41no—
561D584—41no—
562D584—41no—
563C4⋊Dic73—21no—
564C4⋊Dic73—21no—
565C4⋊Dic73—21no—
566C4⋊Dic73—21no—
567C4⋊Dic73—21no—
568C4⋊Dic73C2411yescharacteristic
569C4⋊Dic73C2411yescharacteristic
570C4⋊Dic73C2411yescharacteristic
571C4⋊Dic73C2411yescharacteristic
572C4⋊Dic73C2411yescharacteristic
573C4⋊Dic73C2411yescharacteristic
574C4⋊Dic73C2411yescharacteristic
575C4⋊Dic73C2411yescharacteristic
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—
593#11924007—21no—
594#11924007—21no—
595#11924007—21no—
596C22⋊Dic73—21no—
597C22⋊Dic73—21no—
598C22⋊Dic73—21no—
599C22⋊Dic73—21no—
600C22⋊Dic73—21no—
601C22⋊Dic73—21no—
602C22⋊Dic73—21no—
603#11924005—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—
624#11924005—21no—
625#11924005—21no—
626#11924005—21no—
627#11924005—21no—
628#11924005—21no—
629#11924005—21no—
630#11924005—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—
639C4×Dic73—21no—
640C4×Dic73—21no—
641C4×Dic73—21no—
642#41×C73—42no—
643C2×Q8×C73C2×D411yescharacteristic
644C2×D4×C73C2×D411yescharacteristic
645C2×D4×C73C2×D411yescharacteristic
646C2×D4×C73C2×D411yescharacteristic
647C22×C4×C73C2×D411yescharacteristic
648C22×C4×C73C2×D411yescharacteristic
649C22×C4×C73C2×D411yescharacteristic
650C22×C4×C73C2×D411yescharacteristic
651C22×C4×C73C2×D411yescharacteristic
652C22×C4×C73C2×D411yescharacteristic
653C22×C4×C73C2411yescharacteristic
654C22×C4×C73C2411yescharacteristic
655C22×C4×C73C2411yescharacteristic
656M16×C73—22no—
657M16×C73—41no—
658C2×C8×C73—22no—
659C2×C8×C73—22no—
660C2×C8×C73—41no—
661C2×C8×C73—41no—
662C2×C8×C73C2411yescharacteristic
663C2×C8×C73C2411yescharacteristic
664C2×C8×C73C2411yescharacteristic
665C2×C8×C73C2411yescharacteristic
666C2×C8×C73C2411yescharacteristic
667C2×C8×C73C2411yescharacteristic
668C2×C8×C73C2411yescharacteristic
669C2×C8×C73C2411yescharacteristic
670C4⋊C4×C73C2×D411yescharacteristic
671C4⋊C4×C73C2×D411yescharacteristic
672C4⋊C4×C73C2×D411yescharacteristic
673C4⋊C4×C73C2×D411yescharacteristic
674C4⋊C4×C73C2×D411yescharacteristic
675C4⋊C4×C73C2×D411yescharacteristic
676C22⋊C4×C73C2×D411yescharacteristic
677C22⋊C4×C73C2×D411yescharacteristic
678C22⋊C4×C73C2×D411yescharacteristic
679C22⋊C4×C73C2×D411yescharacteristic
680C22⋊C4×C73C2×D411yescharacteristic
681C22⋊C4×C73C2×D411yescharacteristic
682C42×C73C2×D411yescharacteristic
683C42×C73C2×D411yescharacteristic
684C42×C73C2×D411yescharacteristic
685C42×C73C2×D411yescharacteristic
686C42×C73C2×D411yescharacteristic
687C42×C73C2×D411yescharacteristic
688C42×C73C2411yescharacteristic
689C42×C73C2411yescharacteristic
690C42×C73C2411yescharacteristic
691C42×C73C2411yescharacteristic
692C23×C73C22×D411yescharacteristic
693C23×C73C22×D411yescharacteristic
694C23×C73C22×D411yescharacteristic
695C22×D73—21no—
696C22×D73—21no—
697C22×D73—21no—
698C22×D73—21no—
699C22×D73—21no—
700C22×D73—42no—
701C22×D73—42no—
702C22×D73—42no—
703C22×D73—42no—
704C22×D73—81no—
705C22×D73—81no—
706Q8×C73—41no—
707D4×C73—22no—
708D4×C73—22no—
709D4×C73—41no—
710C2×C4×C73—22no—
711C2×C4×C73—21no—
712C2×C4×C73—21no—
713C2×C4×C73—21no—
714C2×C4×C73—21no—
715C2×C4×C73—21no—
716C2×C4×C73—21no—
717C2×C4×C73—41no—
718C2×C4×C73—41no—
719C2×C4×C73—41no—
720C2×C4×C73—41no—
721C2×C4×C73—41no—
722C2×C4×C73C22×D411yescharacteristic
723C2×C4×C73C22×D411yescharacteristic
724C2×C4×C73C22×D411yescharacteristic
725C2×C4×C73C22×D411yescharacteristic
726C2×C4×C73C22×D411yescharacteristic
727C2×C4×C73C22×D411yescharacteristic
728C2×C4×C73C22×D411yescharacteristic
729C2×C4×C73C22×D411yescharacteristic
730C2×C4×C73C22×D411yescharacteristic
731C2×C4×C73C22×D411yescharacteristic
732C2×C4×C73C22×D411yescharacteristic
733C2×C4×C73C2511yescharacteristic
734C22⋊D73—42no—
735C22⋊D73—42no—
736C22⋊D73—42no—
737C22⋊D73—42no—
738C22⋊D73—42no—
739C22⋊D73—42no—
740C22⋊D73—42no—
741C22⋊D73—81no—
742C22⋊D73—81no—
743C22⋊D73—81no—
744C22⋊D73—81no—
745C2×Dic73—21no—
746C2×Dic73—21no—
747C2×Dic73—21no—
748C2×Dic73—21no—
749C2×Dic73—21no—
750C2×Dic73—21no—
751C2×Dic73—21no—
752C2×Dic73—21no—
753C2×Dic73—21no—
754C2×Dic73—21no—
755C2×Dic73—21no—
756C2×Dic73—42no—
757C2×Dic73—81no—
758C2×Dic73—81no—
759C2×Dic73—81no—
760D292—21no—
761D292—21no—
762D292—21no—
763D292—21no—
764D292—21no—
765D292—21no—
766D292—21no—
767D292—21no—
768D292—21no—
769D292—42no—
770D292—42no—
771D292—42no—
772D292—42no—
773D292—81no—
774D292—81no—
775D292C2×#4112yes—
776C4×D73—42no—
777C4×D73—42no—
778C4×D73—42no—
779C4×D73—42no—
780C4×D73—42no—
781C4×D73—42no—
782C4×D73—42no—
783C4×D73—42no—
784C4×D73—42no—
785C4×D73—81no—
786C4×D73—81no—
787C4×D73—81no—
788C4×D73—81no—
789C4×D73—81no—
790C4×D73—81no—
791Dic146—21no—
792Dic146—21no—
793Dic146—21no—
794Dic146—21no—
795Dic146—21no—
796Dic146—42no—
797Dic146—42no—
798Dic146—81no—
799Dic146C2×#4112yes—
800C8×C73—21no—
801C8×C73—21no—
802C8×C73—21no—
803C8×C73—21no—
804C8×C73—21no—
805C8×C73—21no—
806C8×C73—21no—
807C8×C73C2×#4112yes—
808C22×C73—21no—
809C22×C73—21no—
810C22×C73—21no—
811C22×C73—21no—
812C22×C73—21no—
813C22×C73—21no—
814C22×C73—21no—
815C22×C73—21no—
816C22×C73#57512yes—
817C22×C73C23×D411yescharacteristic
818C2×D73—22no—
819C2×D73—41no—
820C2×D73—41no—
821C2×D73—41no—
822C2×D73—41no—
823C2×D73—41no—
824C2×D73—41no—
825C2×D73—41no—
826C2×D73—41no—
827C2×D73—41no—
828C2×D73—41no—
829C2×D73—41no—
830C2×D73—41no—
831C2×D73—41no—
832C2×D73—41no—
833C2×D73—84no—
834C2×D73—84no—
835C4×C73—21no—
836C4×C73—21no—
837C4×C73—21no—
838C4×C73—21no—
839C4×C73—21no—
840C4×C73—21no—
841C4×C73—21no—
842C4×C73—21no—
843C4×C73—21no—
844C4×C73—21no—
845C4×C73—21no—
846C4×C73C22×#4111yescharacteristic
847C4×C73#58511yescharacteristic
848Dic73—22no—
849Dic73—41no—
850Dic73—41no—
851Dic73—41no—
852Dic73—41no—
853Dic73—41no—
854Dic73—41no—
855Dic73—41no—
856Dic73—41no—
857Dic73—41no—
858Dic73—41no—
859#61456—731nomaximal, Sylow
860C2×C73—22no—
861C2×C73—41no—
862C2×C73—41no—
863C2×C73D4×#4111yescharacteristic
864C2×C73C2×#57511yescharacteristic
865C2×C73#358511yescharacteristic
866D73—42no—
867D73—81no—
868D73—81no—
869D73—81no—
870D73—81no—
871#3481—731no—
872#3480—731no—
873#3403—731no—
874#3388—731no—
875#3371—731no—
876#3370—731no—
877#3350—731no—
878#3346—731no—
879#3339—731no—
880#3318—731no—
881#3316—731no—
882#3311—731no—
883#3309—731no—
884#3301—731no—
885#3297—731no—
886#3282—731no—
887#3268—731no—
888#3265—731no—
889#3183—731no—
890#3180—731no—
891#3180—731no—
892#3117—731no—
893#3115—731no—
894#3114—731no—
895#3111—731no—
896#3111—731no—
897#3109—731no—
898#2970D7311yescharacteristic, complemented
899C4×AGL(1,ℤ/8)—731no—
900#2943—731no—
901C2×#440—731no—
902C73#6145611yescharacteristic, complemented, Sylow
903C2×AGL(1,ℤ/8)—731no—
904C2×#135—731no—
905C22×SD16—731no—
906#559—731no—
907#559—731no—
908#559—1461no—
909#557—731no—
910#556—731no—
911#556—1461no—
912#554—731no—
913#554—731no—
914#553—731no—
915#553—731no—
916#553—731no—
917#553—731no—
918#553—1461no—
919#553—1461no—
920#553—1461no—
921#551—1461no—
922#551—1461no—
923#550—731no—
924#548—731no—
925#548—731no—
926#546—731no—
927#546—731no—
928#546—1461no—
929D42—731no—
930#532—731no—
931#532—731no—
932#532—1461no—
933#529—731no—
934#529—731no—
935#529—731no—
936#529—731no—
937#529—1461no—
938#529—1461no—
939#529—1461no—
940#525—1461no—
941#525—1461no—
942C4×#41—731no—
943C4×#41—731no—
944C4×#41—731no—
945C4×#41—1461no—
946C4×#41C2×D7311yescharacteristic
947C2×C4×Q8—731no—
948C2×C4×D4—731no—
949C2×C4×D4—731no—
950C2×C4×D4—1461no—
951#501—731no—
952#501—731no—
953#499—731no—
954#496—731no—
955#496—731no—
956#495—731no—
957#490—731no—
958#490—731no—
959#489—731no—
960#489—731no—
961#488—731no—
962#488—731no—
963#485—731no—
964#485—731no—
965#484—731no—
966#483—731no—
967#482—731no—
968#482—731no—
969#482—731no—
970#482—731no—
971#481—731no—
972#481—731no—
973#481—731no—
974#480—731no—
975#479—731no—
976#479—731no—
977#479—731no—
978#479—731no—
979#478—731no—
980#478—731no—
981#478—731no—
982#478—731no—
983#476—731no—
984#476—731no—
985#475—731no—
986#474—731no—
987#470—731no—
988#469—731no—
989#468—731no—
990#468—731no—
991#466—731no—
992#466—731no—
993#466—731no—
994#466—731no—
995#465—731no—
996#465—731no—
997#465—731no—
998#465—731no—
999#464—731no—
1000#464—731no—
1001#464—731no—
1002#464—731no—
1003#463—731no—
1004#463—731no—
1005#463—731no—
1006#463—731no—
1007#460—731no—
1008#459—731no—
1009#459—731no—
1010#459—731no—
1011#452—731no—
1012#452—731no—
1013#451—731no—
1014#450—731no—
1015#449—731no—
1016#449—731no—
1017#449—731no—
1018#449—731no—
1019#448—731no—
1020#447—731no—
1021#447—731no—
1022#447—731no—
1023#446C2×D7311yescharacteristic, complemented
1024#446C2×D7311yescharacteristic, complemented
1025#442—731no—
1026#442—731no—
1027#442—731no—
1028#442—731no—
1029#442—731no—
1030#442—731no—
1031#442—731no—
1032#441—731no—
1033#441—731no—
1034#441—731no—
1035#440—731no—
1036#440—731no—
1037#440—731no—
1038#440—731no—
1039#440—731no—
1040#440—731no—
1041#440—731no—
1042#440—731no—
1043#440—731no—
1044#440—731no—
1045#440—731no—
1046#440—731no—
1047#440—731no—
1048#440—731no—
1049C4×SD16—731no—
1050C4×SD16—731no—
1051C4×D8—731no—
1052C4×D8—731no—
1053#435C2×D7311yescharacteristic
1054#435C2×D7311yescharacteristic
1055#435C2×D7311yescharacteristic, complemented
1056#435C2×D7311yescharacteristic, complemented
1057C8×D4C2×D7311yescharacteristic, complemented
1058C8×D4C2×D7311yescharacteristic, complemented
1059#432C2×D7311yescharacteristic, complemented
1060#432C2×D7311yescharacteristic, complemented
1061#432C2×D7311yescharacteristic, complemented
1062#428—731no—
1063#427—731no—
1064C2×#107—731no—
1065#418—731no—
1066#417—731no—
1067#416—731no—
1068#416—731no—
1069C2×#103—731no—
1070C2×#102—731no—
1071C4×M16C2×D7311yescharacteristic, complemented
1072C2×#97C2×D7311yescharacteristic, complemented
1073C2×#97C2×D7311yescharacteristic, complemented
1074C2×#41—731no—
1075C2×#41—731no—
1076C2×#41—731no—
1077C2×#41—1461no—
1078C2×#41—1461no—
1079C2×#41D29211yescharacteristic
1080C22×Q8—731no—
1081C22×D4—731no—
1082C22×D4—731no—
1083C22×D4—1461no—
1084C23×C4—1461no—
1085C23×C4—1461no—
1086AGL(1,ℤ/8)—1464no—
1087#135—1464no—
1088C2×Q16—731no—
1089C2×Q16—731no—
1090C2×SD16—731no—
1091C2×SD16—731no—
1092C2×SD16—731no—
1093C2×SD16—731no—
1094C2×SD16—731no—
1095C2×SD16—731no—
1096C2×SD16—731no—
1097C2×SD16—731no—
1098C2×SD16—1464no—
1099C2×D8—731no—
1100C2×D8—731no—
1101C2×D8—731no—
1102C2×D8—731no—
1103C2×D8—731no—
1104C2×D8—731no—
1105C2×M16C22×D7311yescharacteristic
1106C2×M16C22×D7311yescharacteristic
1107C22×C8C22×D7311yescharacteristic
1108C22×C8C22×D7311yescharacteristic
1109C22×C8C22×D7311yescharacteristic
1110C22×C8C22×D7311yescharacteristic
1111C4⋊Q8—731no—
1112C4⋊Q8—731no—
1113C4⋊Q8—1461no—
1114#127—731no—
1115#127—731no—
1116#127—1461no—
1117#126—1461no—
1118#126—1461no—
1119#126—1461no—
1120#126—1461no—
1121#126—1461no—
1122#126—1461no—
1123#126—1461no—
1124#126—1461no—
1125#126—1461no—
1126#126—1461no—
1127#125—731no—
1128#125—731no—
1129#125—731no—
1130#125—731no—
1131#125—1461no—
1132#125—1461no—
1133#125—1461no—
1134#124—731no—
1135#124—731no—
1136#124—731no—
1137#124—731no—
1138#124—1461no—
1139#124—1461no—
1140#124—1461no—
1141#124—1461no—
1142#124—1461no—
1143#124—1461no—
1144#124—1461no—
1145#123—1461no—
1146#123—1461no—
1147#123—1461no—
1148#123—1461no—
1149#123—1461no—
1150#123—1461no—
1151#123—1461no—
1152#123—1461no—
1153#123—1461no—
1154#123—1461no—
1155#123—1461no—
1156#123—1461no—
1157#123—1461no—
1158#123—1461no—
1159C22⋊Q8—731no—
1160C22⋊Q8—731no—
1161C22⋊Q8—731no—
1162C22⋊Q8—731no—
1163C22⋊Q8—1461no—
1164C22⋊Q8—1461no—
1165C22⋊Q8—1461no—
1166C22⋊Q8—1461no—
1167C22⋊Q8—1461no—
1168C22⋊Q8—1461no—
1169C22⋊Q8—1461no—
1170#121—731no—
1171#121—731no—
1172#121—731no—
1173#121—731no—
1174#121—731no—
1175#121—731no—
1176#121—731no—
1177#121—731no—
1178#121—1461no—
1179#121—1461no—
1180#121—1461no—
1181#121—1461no—
1182#121—1461no—
1183#121—1461no—
1184#121—1461no—
1185#121—1461no—
1186#121—1461no—
1187#121—1461no—
1188#121—1461no—
1189#121—1461no—
1190#121—1461no—
1191#120—1461no—
1192#120—1461no—
1193#120—1461no—
1194#120—1461no—
1195C4×Q8—731no—
1196C4×Q8—731no—
1197C4×Q8—731no—
1198C4×Q8—731no—
1199C4×Q8—731no—
1200C4×Q8—731no—
1201C4×Q8—731no—
1202C4×Q8—731no—
1203C4×Q8—1461no—
1204C4×Q8—1461no—
1205C4×Q8—1461no—
1206C4×Q8—1461no—
1207C4×Q8D29211yescharacteristic
1208C4×Q8C22×D7311yescharacteristic
1209C4×D4—731no—
1210C4×D4—731no—
1211C4×D4—731no—
1212C4×D4—731no—
1213C4×D4—731no—
1214C4×D4—731no—
1215C4×D4—731no—
1216C4×D4—731no—
1217C4×D4—731no—
1218C4×D4—731no—
1219C4×D4—731no—
1220C4×D4—731no—
1221C4×D4—1461no—
1222C4×D4—1461no—
1223C4×D4—1461no—
1224C4×D4—1461no—
1225C4×D4—1461no—
1226C4×D4—1461no—
1227C4×D4—1461no—
1228C4×D4—1461no—
1229C4×D4—1461no—
1230C4×D4—1461no—
1231C4×D4—1461no—
1232C4×D4—1461no—
1233C4×D4—1461no—
1234C4×D4—1461no—
1235C4×D4—1461no—
1236C4×D4—1461no—
1237C4×D4—1461no—
1238C4×D4—1461no—
1239C4×D4—1461no—
1240C4×D4—1461no—
1241C4×D4—1461no—
1242C4×D4—1461no—
1243C4×D4—1461no—
1244C4×D4—1461no—
1245C4×D4—1461no—
1246C4×D4—1461no—
1247C4×D4D29211yescharacteristic
1248C4×D4D29211yescharacteristic
1249C4×D4D29211yescharacteristic
1250C4×D4C22×D7311yescharacteristic
1251C4×D4C22×D7311yescharacteristic
1252C4×D4C22×D7311yescharacteristic
1253#117—731no—
1254#117—731no—
1255#117—731no—
1256#117—1461no—
1257#117—1461no—
1258#117—1461no—
1259#117—1461no—
1260#117—1461no—
1261#117—1461no—
1262#117—1461no—
1263#117D29211yescharacteristic
1264#117D29211yescharacteristic
1265#117D29211yescharacteristic
1266C2×C4⋊C4—731no—
1267C2×C4⋊C4—731no—
1268C2×C4⋊C4—731no—
1269C2×C4⋊C4—1461no—
1270C2×C4⋊C4—1461no—
1271C2×C22⋊C4—1461no—
1272C2×C22⋊C4—1461no—
1273C2×C22⋊C4—1461no—
1274C2×C22⋊C4—1461no—
1275C2×C42—1461no—
1276C2×C42—1461no—
1277C2×C42—1461no—
1278C2×C42—1461no—
1279C2×C42C22×D7311yescharacteristic
1280C2×C42C22×D7311yescharacteristic
1281C2×C42C22×D7311yescharacteristic
1282#107—731no—
1283#107—731no—
1284#107—731no—
1285#107—731no—
1286#107—731no—
1287#107—731no—
1288#107—731no—
1289#107—731no—
1290#106—731no—
1291#106—731no—
1292#106—731no—
1293#106—731no—
1294#106—731no—
1295#106—731no—
1296#106—731no—
1297#106—731no—
1298C4⋊C8C22×D7311yescharacteristic
1299C4⋊C8C22×D7311yescharacteristic
1300C4⋊C8C22×D7311yescharacteristic
1301C4⋊C8C22×D7311yescharacteristic
1302C4⋊C8C22×D7311yescharacteristic
1303C4⋊C8C22×D7311yescharacteristic
1304#103—731no—
1305#103—731no—
1306#103—731no—
1307#103—731no—
1308#103—731no—
1309#103—731no—
1310#103—731no—
1311#103—731no—
1312#103—731no—
1313#103—731no—
1314#103—731no—
1315#103—731no—
1316#102—731no—
1317#102—731no—
1318#102—731no—
1319#102—731no—
1320#102—731no—
1321#102—731no—
1322#102—731no—
1323#102—731no—
1324#102—731no—
1325#102—731no—
1326#102—731no—
1327#102—731no—
1328#102—731no—
1329#102—731no—
1330#102—731no—
1331#102—731no—
1332#102—731no—
1333#102—731no—
1334#102—731no—
1335#102—731no—
1336C22⋊C8C22×D7311yescharacteristic
1337C22⋊C8C22×D7311yescharacteristic
1338C22⋊C8C22×D7311yescharacteristic
1339C22⋊C8C22×D7311yescharacteristic
1340C22⋊C8C22×D7311yescharacteristic
1341C22⋊C8C22×D7311yescharacteristic
1342#97C22×D7311yescharacteristic
1343#97C22×D7311yescharacteristic
1344#97C22×D7311yescharacteristic
1345#97C22×D7311yescharacteristic
1346#97C22×D7311yescharacteristic
1347#97C22×D7311yescharacteristic
1348#97C22×D7311yescharacteristic
1349#97C22×D7311yescharacteristic
1350C4×C8C22×D7311yescharacteristic
1351C4×C8C22×D7311yescharacteristic
1352C24—1461no—
1353C24—1461no—
1354#41—42no—
1355#41—2924no—
1356#41—2921no—
1357#41—2921no—
1358#41—2921no—
1359#41—5842no—
1360#41—1462no—
1361#41—1462no—
1362#41—1462no—
1363C2×Q8—2921no—
1364C2×Q8—731no—
1365C2×Q8—731no—
1366C2×Q8—731no—
1367C2×Q8—1462no—
1368C2×Q8—1461no—
1369C2×Q8—1461no—
1370C2×Q8—1461no—
1371C2×Q8C2×D29211yescharacteristic
1372C2×D4—2921no—
1373C2×D4—2921no—
1374C2×D4—2924no—
1375C2×D4—731no—
1376C2×D4—731no—
1377C2×D4—731no—
1378C2×D4—731no—
1379C2×D4—731no—
1380C2×D4—1462no—
1381C2×D4—1462no—
1382C2×D4—1461no—
1383C2×D4—1461no—
1384C2×D4—1461no—
1385C2×D4—1461no—
1386C2×D4—1461no—
1387C2×D4—1461no—
1388C2×D4—1461no—
1389C2×D4—1461no—
1390C2×D4—1461no—
1391C2×D4—1461no—
1392C2×D4—1461no—
1393C2×D4—1461no—
1394C2×D4—1461no—
1395C2×D4—1461no—
1396C2×D4—1461no—
1397C2×D4—1461no—
1398C2×D4—1461no—
1399C2×D4C2×D29211yescharacteristic
1400C2×D4C2×D29211yescharacteristic
1401C2×D4C2×D29211yescharacteristic
1402C22×C4—5842no—
1403C22×C4—5842no—
1404C22×C4—1461no—
1405C22×C4—1461no—
1406C22×C4—1461no—
1407C22×C4—1461no—
1408C22×C4—1461no—
1409C22×C4—1461no—
1410C22×C4—1461no—
1411C22×C4—1461no—
1412C22×C4—1461no—
1413C22×C4—1461no—
1414C22×C4—1461no—
1415C22×C4—1461no—
1416C22×C4—1461no—
1417C22×C4—1461no—
1418C22×C4—1461no—
1419C22×C4—1461no—
1420C22×C4—1461no—
1421C22×C4—1461no—
1422C22×C4—1461no—
1423C22×C4C2×D29211yescharacteristic
1424C22×C4C2×D29211yescharacteristic
1425C22×C4C2×D29211yescharacteristic
1426C22×C4C2×D29211yescharacteristic
1427C22×C4C2×D29211yescharacteristic
1428C22×C4C2×D29211yescharacteristic
1429C22×C4C23×D7311yescharacteristic
1430C22×C4C23×D7311yescharacteristic
1431C22×C4C23×D7311yescharacteristic
1432Q16—2921no—
1433Q16—1462no—
1434SD16—2921no—
1435SD16—2921no—
1436SD16—734no—
1437SD16—1462no—
1438SD16—1462no—
1439SD16—1462no—
1440SD16—1462no—
1441SD16—1462no—
1442D8—2921no—
1443D8—2921no—
1444D8—2921no—
1445D8—1462no—
1446D8—1462no—
1447D8—1462no—
1448M16—22no—
1449M16—41no—
1450C2×C8—22no—
1451C2×C8—22no—
1452C2×C8—41no—
1453C2×C8—41no—
1454C2×C8C23×D7311yescharacteristic
1455C2×C8C23×D7311yescharacteristic
1456C2×C8C23×D7311yescharacteristic
1457C2×C8C23×D7311yescharacteristic
1458C2×C8C23×D7311yescharacteristic
1459C2×C8C23×D7311yescharacteristic
1460C2×C8C23×D7311yescharacteristic
1461C2×C8C23×D7311yescharacteristic
1462C4⋊C4—731no—
1463C4⋊C4—731no—
1464C4⋊C4—731no—
1465C4⋊C4—731no—
1466C4⋊C4—731no—
1467C4⋊C4—731no—
1468C4⋊C4—731no—
1469C4⋊C4—731no—
1470C4⋊C4—1461no—
1471C4⋊C4—1461no—
1472C4⋊C4—1461no—
1473C4⋊C4—1461no—
1474C4⋊C4—1461no—
1475C4⋊C4—1461no—
1476C4⋊C4—1461no—
1477C4⋊C4—1461no—
1478C4⋊C4—1461no—
1479C4⋊C4—1461no—
1480C4⋊C4—1461no—
1481C4⋊C4—1461no—
1482C4⋊C4—1461no—
1483C4⋊C4—1461no—
1484C4⋊C4—1461no—
1485C4⋊C4—1461no—
1486C4⋊C4—1461no—
1487C4⋊C4—1461no—
1488C4⋊C4—1461no—
1489C4⋊C4—1461no—
1490C4⋊C4—1461no—
1491C4⋊C4—1461no—
1492C4⋊C4—1461no—
1493C4⋊C4—1461no—
1494C4⋊C4—1461no—
1495C4⋊C4C2×D29211yescharacteristic
1496C4⋊C4C2×D29211yescharacteristic
1497C4⋊C4C2×D29211yescharacteristic
1498C4⋊C4C2×D29211yescharacteristic
1499C4⋊C4C2×D29211yescharacteristic
1500C4⋊C4C2×D29211yescharacteristic
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⋊C4—1461no—
1515C22⋊C4—1461no—
1516C22⋊C4—1461no—
1517C22⋊C4—1461no—
1518C22⋊C4—1461no—
1519C22⋊C4—1461no—
1520C22⋊C4—1461no—
1521C22⋊C4—1461no—
1522C22⋊C4—1461no—
1523C22⋊C4—1461no—
1524C22⋊C4—1461no—
1525C22⋊C4—1461no—
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⋊C4C2×D29211yescharacteristic
1537C22⋊C4C2×D29211yescharacteristic
1538C22⋊C4C2×D29211yescharacteristic
1539C22⋊C4C2×D29211yescharacteristic
1540C22⋊C4C2×D29211yescharacteristic
1541C22⋊C4C2×D29211yescharacteristic
1542C42—1461no—
1543C42—1461no—
1544C42—1461no—
1545C42—1461no—
1546C42—1461no—
1547C42—1461no—
1548C42—1461no—
1549C42—1461no—
1550C42—1461no—
1551C42—1461no—
1552C42—1461no—
1553C42C2×D29211yescharacteristic
1554C42C2×D29211yescharacteristic
1555C42C2×D29211yescharacteristic
1556C42C2×D29211yescharacteristic
1557C42C2×D29211yescharacteristic
1558C42C2×D29211yescharacteristic
1559C42C23×D7311yescharacteristic
1560C42C23×D7311yescharacteristic
1561C42C23×D7311yescharacteristic
1562C42C23×D7311yescharacteristic
1563C23—2922no—
1564C23—2922no—
1565C23—2922no—
1566C23—2922no—
1567C23—5841no—
1568C23—5841no—
1569C23—1461no—
1570C23—1461no—
1571C23—1461no—
1572C23—1461no—
1573C23—1461no—
1574C23C22×D29211yescharacteristic
1575C23C22×D29211yescharacteristic
1576C23C22×D29211yescharacteristic
1577Q8—41no—
1578Q8—2922no—
1579Q8—2922no—
1580Q8—5841no—
1581Q8—732no—
1582Q8—1461no—
1583Q8—1461no—
1584Q8—1461no—
1585Q8—1461no—
1586Q8—1461no—
1587D4—22no—
1588D4—22no—
1589D4—41no—
1590D4—2922no—
1591D4—2922no—
1592D4—2922no—
1593D4—2922no—
1594D4—2922no—
1595D4—2922no—
1596D4—2922no—
1597D4—2922no—
1598D4—2922no—
1599D4—2922no—
1600D4—2922no—
1601D4—5841no—
1602D4—5841no—
1603D4—5841no—
1604D4—5841no—
1605D4—5841no—
1606D4—5841no—
1607D4—732no—
1608D4—1461no—
1609D4—1461no—
1610D4—1461no—
1611D4—1461no—
1612D4—1461no—
1613D4—1461no—
1614D4—1461no—
1615D4—1461no—
1616D4—1461no—
1617C2×C4—22no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—41no—
1625C2×C4—41no—
1626C2×C4—41no—
1627C2×C4—41no—
1628C2×C4—41no—
1629C2×C4—2922no—
1630C2×C4—2922no—
1631C2×C4—2922no—
1632C2×C4—2922no—
1633C2×C4—2922no—
1634C2×C4—2922no—
1635C2×C4—2922no—
1636C2×C4—2922no—
1637C2×C4—2922no—
1638C2×C4—2922no—
1639C2×C4—5841no—
1640C2×C4—5841no—
1641C2×C4—5841no—
1642C2×C4—5841no—
1643C2×C4—5841no—
1644C2×C4—5841no—
1645C2×C4—5841no—
1646C2×C4—5841no—
1647C2×C4—5841no—
1648C2×C4—1461no—
1649C2×C4—1461no—
1650C2×C4—1461no—
1651C2×C4—1461no—
1652C2×C4—1461no—
1653C2×C4—1461no—
1654C2×C4—1461no—
1655C2×C4—1461no—
1656C2×C4—1461no—
1657C2×C4—1461no—
1658C2×C4—1461no—
1659C2×C4C22×D29211yescharacteristic
1660C2×C4C22×D29211yescharacteristic
1661C2×C4C22×D29211yescharacteristic
1662C2×C4C22×D29211yescharacteristic
1663C2×C4C22×D29211yescharacteristic
1664C2×C4C22×D29211yescharacteristic
1665C2×C4C22×D29211yescharacteristic
1666C2×C4C22×D29211yescharacteristic
1667C2×C4C22×D29211yescharacteristic
1668C2×C4C22×D29211yescharacteristic
1669C2×C4C22×D29211yescharacteristic
1670C2×C4C24×D7311yescharacteristic
1671C8—21no—
1672C8—21no—
1673C8—21no—
1674C8—21no—
1675C8—21no—
1676C8—21no—
1677C8—21no—
1678C8#41×D7312yes—
1679C22—21no—
1680C22—21no—
1681C22—21no—
1682C22—21no—
1683C22—21no—
1684C22—21no—
1685C22—21no—
1686C22—21no—
1687C22—2921no—
1688C22—2921no—
1689C22—2921no—
1690C22—2921no—
1691C22—2921no—
1692C22—2921no—
1693C22—2921no—
1694C22—2921no—
1695C22—2921no—
1696C22—2921no—
1697C22—2921no—
1698C22—2921no—
1699C22—2921no—
1700C22—2921no—
1701C22—5844no—
1702C22—5844no—
1703C22—1462no—
1704C22#1798938712yes—
1705C22C23×D29211yescharacteristic
1706C4—21no—
1707C4—21no—
1708C4—21no—
1709C4—21no—
1710C4—21no—
1711C4—21no—
1712C4—21no—
1713C4—21no—
1714C4—21no—
1715C4—21no—
1716C4—21no—
1717C4—2921no—
1718C4—2921no—
1719C4—2921no—
1720C4—2921no—
1721C4—2921no—
1722C4—2921no—
1723C4—2921no—
1724C4—2921no—
1725C4—2921no—
1726C4—2921no—
1727C4—1462no—
1728C4C2×#41×D7311yescharacteristic
1729C4#1798942311yescharacteristic
1730C2—22no—
1731C2—41no—
1732C2—41no—
1733C2—2922no—
1734C2—5841no—
1735C2—5841no—
1736C2—5841no—
1737C2—5841no—
1738C2#41×D29211yescharacteristic
1739C2C2×#1798938711yescharacteristic
1740C2#2262471211yescharacteristic
subgroupG/H
centerC22C23×D292
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#2970C2
socleC22×C73C23×D4
hypercenter#2970D73
hypocenterC73#61456
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. #22623541C2semidirect
2. #22623524C2semidirect
3. #22623021C2semidirect
4. #22622878C2semidirect
5. #22622701C2semidirect
6. #22622686C2semidirect
7. #22622478C2semidirect
8. #22622418C2semidirect
9. #22622334C2semidirect
10. #22622074C2semidirect
11. #22622044C2semidirect
12. #22621969C2semidirect
13. #22621939C2semidirect
14. #22621835C2semidirect
15. #22621783C2semidirect
16. #22621643C2semidirect
17. #22621476C2semidirect
18. #22621431C2semidirect
19. #22620660C2semidirect
20. #22620629C2semidirect
21. #22620629C2semidirect
22. #22620104C2semidirect
23. #22620083C2semidirect
24. #22620071C2semidirect
25. #22620042C2semidirect
26. #22620042C2semidirect
27. #22620023C2semidirect
28. C4×#14556619C2semidirect
29. #22618733C2semidirect
30. C2×#17988689C2semidirect
31. C73×#2970C2semidirect
36. #17989322C22semidirect
38. #17989315C22semidirect
40. #17989307C22semidirect
48. #17989283C22semidirect
52. #17989258C22semidirect
54. #17989246C22semidirect
60. #17989137C22semidirect
65. #17989121C22semidirect
66. #17989121C22semidirect
72. C4×#11924028C22semidirect
73. C4×#11924028C22semidirect
75. C2×C4×Dic146C22semidirect
79. #17988996C22semidirect
80. #17988996C22semidirect
81. #17988989C22semidirect
83. #17988976C22semidirect
84. #17988971C22semidirect
86. #17988952C22semidirect
87. #17988947C22semidirect
88. #17988947C22semidirect
89. #17988942C22semidirect
90. #17988942C22semidirect
91. #17988929C22semidirect
92. #17988929C22semidirect
93. #17988923C22semidirect
94. #17988918C22semidirect
96. #17988912C22semidirect
97. #17988912C22semidirect
98. #17988912C22semidirect
100. #17988906C22semidirect
101. #17988906C22semidirect
102. #17988901C22semidirect
103. #17988895C22semidirect
104. #17988895C22semidirect
105. #17988895C22semidirect
106. #17988895C22semidirect
109. #17988888C22semidirect
110. #17988888C22semidirect
112. #17988878C22semidirect
113. #17988873C22semidirect
114. #17988868C22semidirect
115. #17988845C22semidirect
118. #17988833C22semidirect
121. #17988823C22semidirect
122. #17988823C22semidirect
123. #17988816C22semidirect
124. #17988816C22semidirect
125. #17988816C22semidirect
126. #17988816C22semidirect
127. #17988810C22semidirect
128. #17988810C22semidirect
129. #17988810C22semidirect
130. #17988810C22semidirect
133. #17988803C22semidirect
134. #17988803C22semidirect
138. #17988783C22semidirect
140. #17988751C22semidirect
141. #17988745C22semidirect
145. #17988734C22semidirect
146. #17988734C22semidirect
154. #17988700C22semidirect
155. #17988700C22semidirect
156. #17988700C22semidirect
157. #17988700C22semidirect
158. #17988695C22semidirect
159. #17988695C22semidirect
160. #17988695C22semidirect
166. #17988689C22semidirect
167. #17988689C22semidirect
168. #17988689C22semidirect
169. #17988689C22semidirect
170. #17988689C22semidirect
171. #17988689C22semidirect
172. #17988689C22semidirect
173. #17988689C22semidirect
174. #17988689C22semidirect
176. C4×#11924017C22semidirect
178. C4×D584C22semidirect
179. #17988629C22semidirect
180. #17988625C22semidirect
181. C2×#14556525C22semidirect
183. #17988589C22semidirect
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. #432×C73C22semidirect
200. C4×M16×C73C22semidirect
201. C2×#97×C73C22semidirect
202. C2×#97×C73C22semidirect
556. #11924017#41semidirect
898. #2970D73semidirect
902. C73#61456semidirect
1023. #446C2×D73semidirect
1024. #446C2×D73semidirect
1055. #435C2×D73semidirect
1056. #435C2×D73semidirect
1057. C8×D4C2×D73semidirect
1058. C8×D4C2×D73semidirect
1059. #432C2×D73semidirect
1060. #432C2×D73semidirect
1061. #432C2×D73semidirect
1071. C4×M16C2×D73semidirect
1072. C2×#97C2×D73semidirect
1073. C2×#97C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226235412
#226235242
#226230212
#226228782
#226227012
#226226862
#226224782
#226224182
#226223342
#226220742
#226220442
#226219692
#226219392
#226218352
#226217832
#226216432
#226214762
#226214312
#226206602
#226206292
#226201042
#226200832
#226200712
#226200422
#226200232
C4×#145566192
#226187332
C2×#179886892
C73×#29702
#6145673