Finite Group Databasebeta

← #33967975

Subgroups — #33967975

Order 18688.

1920 conjugacy classes of subgroups.

The subgroup lattice has 1744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623540C211yesmaximal, characteristic, complemented
2#22623492C211yesmaximal, characteristic, complemented
3#22622891C211yesmaximal, characteristic, complemented
4#22622752C211yesmaximal, characteristic, complemented
5#22622678C211yesmaximal, characteristic, complemented
6#22622436C211yesmaximal, characteristic, complemented
7#22622391C211yesmaximal, characteristic, complemented
8#22622315C211yesmaximal, characteristic, complemented
9#22622094C211yesmaximal, characteristic, complemented
10#22622019C211yesmaximal, characteristic, complemented
11#22621959C211yesmaximal, characteristic, complemented
12#22621914C211yesmaximal, characteristic, complemented
13#22621788C211yesmaximal, characteristic, complemented
14#22621773C211yesmaximal, characteristic, complemented
15#22621615C211yesmaximal, characteristic, complemented
16#22621455C211yesmaximal, characteristic, complemented
17#22621410C211yesmaximal, characteristic, complemented
18#22620657C211yesmaximal, characteristic, complemented
19#22620637C211yesmaximal, characteristic, complemented
20#22620626C211yesmaximal, characteristic, complemented
21#22620081C211yesmaximal, characteristic, complemented
22#22620068C211yesmaximal, characteristic, complemented
23#22620068C211yesmaximal, characteristic, complemented
24#22620039C211yesmaximal, characteristic, complemented
25#22620039C211yesmaximal, characteristic, complemented
26#22620029C211yesmaximal, characteristic, complemented
27#22618944C211yesmaximal, characteristic, complemented
28C4×#14556618C211yesmaximal, characteristic, complemented
29#22618730C211yesmaximal, characteristic, complemented
30#442×D73C211yesmaximal, characteristic, complemented
31C73×#3401C211yesmaximal, characteristic, complemented
32C2×#14556618C2211yescharacteristic
33C2×#14556614C2211yescharacteristic
34C2×D8×D73C2211yescharacteristic
35#17989302C2211yescharacteristic, complemented
36#17989297C2211yescharacteristic
37#17989297C2211yescharacteristic, complemented
38#17989297C2211yescharacteristic, complemented
39#17989287—21no—
40#17989287C2211yescharacteristic
41#17989287C2211yescharacteristic, complemented
42#17989281—21no—
43#17989278C2211yescharacteristic
44#17989278C2211yescharacteristic, complemented
45#17989271—21no—
46#17989265—21no—
47#17989265—21no—
48#17989262—21no—
49#17989262—21no—
50#17989240C2211yescharacteristic, complemented
51#17989230—21no—
52#17989230C2211yescharacteristic
53#17989230C2211yescharacteristic
54#17989230C2211yescharacteristic, complemented
55#17989230C2211yescharacteristic, complemented
56#17989222C2211yescharacteristic
57#17989142C2211yescharacteristic, complemented
58#17989135C2211yescharacteristic, complemented
59#17989120—21no—
60#17989120—21no—
61#17989116—21no—
62#17989116C2211yescharacteristic
63#17989116C2211yescharacteristic, complemented
64#17989116C2211yescharacteristic, complemented
65#17989116C2211yescharacteristic, complemented
66#17989100—21no—
67#17989095—21no—
68#17989095—21no—
69C4×#11924029C2211yescharacteristic
70C4×#11924029C2211yescharacteristic, complemented
71C4×#11924029C2211yescharacteristic, complemented
72C4×#11924029C2211yescharacteristic, complemented
73C4×D4×D73—21no—
74C4×D4×D73C2211yescharacteristic
75C4×D4×D73C2211yescharacteristic, complemented
76C4×D4×D73C2211yescharacteristic, complemented
77#117×D73—21no—
78#17988996C2211yescharacteristic, complemented
79#17988996C2211yescharacteristic, complemented
80#17988989C2211yescharacteristic, complemented
81#17988955C2211yescharacteristic, complemented
82#17988951C2211yescharacteristic, complemented
83#17988946C2211yescharacteristic, complemented
84#17988946C2211yescharacteristic, complemented
85#17988941C2211yescharacteristic, complemented
86#17988941C2211yescharacteristic, complemented
87#17988927C2211yescharacteristic, complemented
88#17988927C2211yescharacteristic, complemented
89#17988921C2211yescharacteristic, complemented
90#17988921C2211yescharacteristic, complemented
91#17988916C2211yescharacteristic, complemented
92#17988916C2211yescharacteristic, complemented
93#17988910C2211yescharacteristic, complemented
94#17988910C2211yescharacteristic, complemented
95#17988909C2211yescharacteristic, complemented
96#17988909C2211yescharacteristic, complemented
97#17988899C2211yescharacteristic
98#17988899C2211yescharacteristic, complemented
99#17988894C2211yescharacteristic, complemented
100#17988894C2211yescharacteristic, complemented
101#17988888C2211yescharacteristic, complemented
102#17988888C2211yescharacteristic, complemented
103#17988888C2211yescharacteristic, complemented
104#17988888C2211yescharacteristic, complemented
105#17988887C2211yescharacteristic, complemented
106#17988887C2211yescharacteristic, complemented
107#17988872C2211yescharacteristic, complemented
108#17988868C2211yescharacteristic, complemented
109#17988868C2211yescharacteristic, complemented
110#17988867C2211yescharacteristic, complemented
111#17988842C2211yescharacteristic, complemented
112#17988837C2211yescharacteristic
113#17988830C2211yescharacteristic, complemented
114#17988830C2211yescharacteristic, complemented
115#17988825C2211yescharacteristic, complemented
116#17988825C2211yescharacteristic, complemented
117#17988820C2211yescharacteristic, complemented
118#17988820C2211yescharacteristic, complemented
119#17988813C2211yescharacteristic
120#17988813C2211yescharacteristic
121#17988813C2211yescharacteristic, complemented
122#17988813C2211yescharacteristic, complemented
123#17988799C2211yescharacteristic
124#17988799C2211yescharacteristic
125#17988799C2211yescharacteristic, complemented
126#17988799C2211yescharacteristic, complemented
127#17988789C2211yescharacteristic, complemented
128#17988779C2211yescharacteristic
129#17988748C2211yescharacteristic, complemented
130#17988748C2211yescharacteristic, complemented
131#17988736C2211yescharacteristic
132#17988736C2211yescharacteristic
133#17988736C2211yescharacteristic, complemented
134#17988736C2211yescharacteristic, complemented
135#17988731C2211yescharacteristic
136#17988731C2211yescharacteristic
137#17988731C2211yescharacteristic, complemented
138#17988731C2211yescharacteristic, complemented
139#17988719C2211yescharacteristic
140#17988719C2211yescharacteristic
141#17988718C2211yescharacteristic, complemented
142#17988700C2211yescharacteristic
143#17988700C2211yescharacteristic
144#17988699C2211yescharacteristic, complemented
145#17988699C2211yescharacteristic, complemented
146#17988698C2211yescharacteristic
147#17988697C2211yescharacteristic
148#17988697C2211yescharacteristic, complemented
149#17988696C2211yescharacteristic
150#17988696C2211yescharacteristic, complemented
151#17988696C2211yescharacteristic, complemented
152#17988694C2211yescharacteristic, complemented
153#17988694C2211yescharacteristic, complemented
154#17988690C2211yescharacteristic, complemented
155#17988690C2211yescharacteristic, complemented
156#17988690C2211yescharacteristic, complemented
157#17988688C2211yescharacteristic, complemented
158#17988688C2211yescharacteristic, complemented
159#17988688C2211yescharacteristic, complemented
160#17988688C2211yescharacteristic, complemented
161#17988688C2211yescharacteristic, complemented
162#17988685C2211yescharacteristic, complemented
163#17988685C2211yescharacteristic, complemented
164C4×#11924015C2211yescharacteristic, complemented
165C4×D584C2211yescharacteristic
166C4×#11924013C2211yescharacteristic, complemented
167#17988660C2211yescharacteristic
168#17988660C2211yescharacteristic, complemented
169#17988657C2211yescharacteristic
170#17988657C2211yescharacteristic, complemented
171C8×D292C2211yescharacteristic, complemented
172#17988652C2211yescharacteristic, complemented
173#17988643C2211yescharacteristic, complemented
174#17988643C2211yescharacteristic, complemented
175#17988643C2211yescharacteristic, complemented
176#17988626C2211yescharacteristic, complemented
177#17988622C2211yescharacteristic, complemented
178#106×D73C2211yescharacteristic, complemented
179#17988590C2211yescharacteristic, complemented
180#17988587C2211yescharacteristic, complemented
181#17988582C2211yescharacteristic, complemented
182#17988582C2211yescharacteristic, complemented
183#102×D73C2211yescharacteristic
184#102×D73C2211yescharacteristic, complemented
185C4×#11924011C2211yescharacteristic, complemented
186#97×D73C2211yescharacteristic, complemented
187#97×D73C2211yescharacteristic, complemented
188#559×C73C2211yescharacteristic, complemented
189#556×C73C2211yescharacteristic, complemented
190#497×C73C2211yescharacteristic, complemented
191#496×C73C2211yescharacteristic
192#495×C73C2211yescharacteristic, complemented
193#464×C73C2211yescharacteristic, complemented
194#464×C73C2211yescharacteristic, complemented
195#463×C73C2211yescharacteristic, complemented
196#463×C73C2211yescharacteristic, complemented
197#461×C73C2211yescharacteristic, complemented
198#460×C73C2211yescharacteristic, complemented
199#446×C73C2211yescharacteristic, complemented
200#442×C73C2211yescharacteristic, complemented
201#441×C73C2211yescharacteristic, complemented
202C4×SD16×C73C2211yescharacteristic, complemented
203C2×#11924029D411yescharacteristic
204C2×#11924029C2311yescharacteristic
205C2×#11924029C2311yescharacteristic
206C2×#11924029C2311yescharacteristic
207C2×#11924027—21no—
208C2×D4×D73—21no—
209C2×D4×D73C2311yescharacteristic
210C2×D4×D73C2311yescharacteristic
211C2×D4×D73C2311yescharacteristic
212C22×C4×D73—21no—
213C22×C4×D73—21no—
214C22×C4×D73—21no—
215#14556618—24no—
216#14556614—24no—
217C2×#11924015C2311yescharacteristic
218C2×#11924015C2311yescharacteristic
219C2×#11924015C2311yescharacteristic
220C2×D584C2311yescharacteristic
221C2×#11924013C2311yescharacteristic
222C2×#11924013C2311yescharacteristic
223C2×#11924013C2311yescharacteristic
224D8×D73—24no—
225C2×#11924011C2311yescharacteristic
226C2×#11924011C2311yescharacteristic
227C2×C8×D73C2311yescharacteristic
228C2×C8×D73C2311yescharacteristic
229C2×C8×D73C2311yescharacteristic
230C2×C8×D73C2311yescharacteristic
231#14556591C2311yescharacteristic
232#14556591C2311yescharacteristic
233#14556585—21no—
234#14556585—21no—
235#14556584—21no—
236#14556584—21no—
237#14556584—21no—
238#14556584—21no—
239#14556584—21no—
240#14556584—21no—
241#14556583—21no—
242#14556583C2311yescharacteristic
243#14556583C2311yescharacteristic
244#14556583C2311yescharacteristic
245#14556583C2311yescharacteristic
246#14556582—21no—
247#14556581—21no—
248#14556581—21no—
249#14556578—21no—
250#14556577—21no—
251#14556577—21no—
252#14556576—21no—
253#14556576—21no—
254#14556576—21no—
255#14556576—21no—
256#14556574—21no—
257#14556574—21no—
258#14556573—21no—
259#14556573—21no—
260#14556573—21no—
261#14556573—21no—
262#14556573—21no—
263#14556573—21no—
264#14556573—21no—
265#14556573—21no—
266#14556571—21no—
267#14556569—21no—
268#14556569—21no—
269#14556569—21no—
270#14556569—21no—
271#14556569—21no—
272#14556569—21no—
273#14556567—21no—
274#14556567—21no—
275#14556567C2311yescharacteristic
276#14556567C2311yescharacteristic
277#14556567C2311yescharacteristic
278#14556567C2311yescharacteristic
279#14556567C2311yescharacteristic
280#14556567C2311yescharacteristic
281#14556566—21no—
282#14556565—21no—
283#14556564—21no—
284#14556564—21no—
285#14556564—21no—
286#14556564—21no—
287#14556564—21no—
288#14556564—21no—
289#14556562—21no—
290#14556562—21no—
291#14556562C2311yescharacteristic
292#14556562C2311yescharacteristic
293#14556562C2311yescharacteristic
294#14556562C2311yescharacteristic
295#14556562C2311yescharacteristic
296#14556562C2311yescharacteristic
297#14556561—21no—
298#14556561—21no—
299#14556561—21no—
300#14556561—21no—
301#14556559—21no—
302#14556559—21no—
303Q8×Dic73D411yescharacteristic
304Q8×Dic73C2311yescharacteristic
305Q8×Dic73C2311yescharacteristic
306Q8×Dic73C2311yescharacteristic
307#14556556—21no—
308C4×D292—21no—
309C4×D292—21no—
310C4×D292—21no—
311C4×D292—21no—
312C4×D292C2311yescharacteristic
313C4×D292C2311yescharacteristic
314C4×D292C2311yescharacteristic
315C4×D292C2311yescharacteristic
316C4×D292C2311yescharacteristic
317C4×D292C2311yescharacteristic
318C4×D292C2311yescharacteristic
319C4×D292C2311yescharacteristic
320C4×D292C2311yescharacteristic
321D4×Dic73—21no—
322D4×Dic73C2311yescharacteristic
323D4×Dic73C2311yescharacteristic
324D4×Dic73C2311yescharacteristic
325#14556553—21no—
326#14556553—21no—
327#14556553—21no—
328#14556553D411yescharacteristic
329#14556553D411yescharacteristic
330#14556553D411yescharacteristic
331#14556553C2311yescharacteristic
332#14556553C2311yescharacteristic
333C4×C22⋊D73—21no—
334C4×C22⋊D73—21no—
335C4×C22⋊D73—21no—
336C4×C22⋊D73—21no—
337C4×C22⋊D73—21no—
338#14556551—21no—
339#14556551—21no—
340#14556551—21no—
341#14556551—21no—
342#14556551—21no—
343#14556551—21no—
344#14556551—21no—
345#14556550—21no—
346#14556549—21no—
347#14556549—21no—
348#14556549—21no—
349#14556549—21no—
350#14556549D411yescharacteristic
351#14556549D411yescharacteristic
352#14556549D411yescharacteristic
353#14556549C2311yescharacteristic
354#14556549C2311yescharacteristic
355#14556549C2311yescharacteristic
356#14556548—21no—
357#14556548—21no—
358#14556547—21no—
359#14556547—21no—
360#14556547—21no—
361#14556547—21no—
362C4⋊C4×D73—21no—
363C4⋊C4×D73—21no—
364C4⋊C4×D73—21no—
365C4⋊C4×D73C2311yescharacteristic
366C4⋊C4×D73C2311yescharacteristic
367C4⋊C4×D73C2311yescharacteristic
368C22⋊C4×D73—21no—
369C22⋊C4×D73—21no—
370C22⋊C4×D73—21no—
371C22⋊C4×D73—21no—
372C22⋊C4×D73—21no—
373C22⋊C4×D73—21no—
374C22⋊C4×D73—21no—
375C42×D73—21no—
376C42×D73—21no—
377C42×D73—21no—
378C42×D73C2311yescharacteristic
379C42×D73C2311yescharacteristic
380C42×D73C2311yescharacteristic
381#14556525C2311yescharacteristic
382#14556525C2311yescharacteristic
383#14556525C2311yescharacteristic
384#14556525C2311yescharacteristic
385#14556525C2311yescharacteristic
386#14556524C2311yescharacteristic
387#14556524C2311yescharacteristic
388#14556524C2311yescharacteristic
389#14556523C2311yescharacteristic
390#14556523C2311yescharacteristic
391#14556523C2311yescharacteristic
392#14556523C2311yescharacteristic
393#14556522C2311yescharacteristic
394#14556522C2311yescharacteristic
395#14556522C2311yescharacteristic
396C4⋊#10596831C2311yescharacteristic
397C4⋊#10596831C2311yescharacteristic
398C4⋊#10596831C2311yescharacteristic
399#14556515C2311yescharacteristic
400#14556515C2311yescharacteristic
401#14556515C2311yescharacteristic
402#14556515C2311yescharacteristic
403#14556515C2311yescharacteristic
404#14556515C2311yescharacteristic
405#14556515C2311yescharacteristic
406#14556515C2311yescharacteristic
407#14556515C2311yescharacteristic
408#14556513C2311yescharacteristic
409#14556513C2311yescharacteristic
410#14556513C2311yescharacteristic
411#14556513C2311yescharacteristic
412#14556513C2311yescharacteristic
413#14556513C2311yescharacteristic
414#14556512C2311yescharacteristic
415#14556512C2311yescharacteristic
416#14556512C2311yescharacteristic
417#14556512C2311yescharacteristic
418#14556512C2311yescharacteristic
419#14556512C2311yescharacteristic
420#14556512C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556512C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425#14556503C2311yescharacteristic
426#14556503C2311yescharacteristic
427#14556503C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556503C2311yescharacteristic
430#14556503C2311yescharacteristic
431#14556502C2311yescharacteristic
432#14556502C2311yescharacteristic
433#14556501C2311yescharacteristic
434#14556501C2311yescharacteristic
435#14556501C2311yescharacteristic
436#14556501C2311yescharacteristic
437C4×#10596831C2311yescharacteristic
438C2×Q16×C73C2311yescharacteristic
439C2×Q16×C73C2311yescharacteristic
440C2×SD16×C73C2311yescharacteristic
441C2×SD16×C73C2311yescharacteristic
442C2×SD16×C73C2311yescharacteristic
443C2×SD16×C73C2311yescharacteristic
444C2×SD16×C73C2311yescharacteristic
445C2×D8×C73C2311yescharacteristic
446C2×D8×C73C2311yescharacteristic
447C4⋊Q8×C73C2311yescharacteristic
448#127×C73C2311yescharacteristic
449#126×C73—21no—
450#126×C73—21no—
451#124×C73—21no—
452#124×C73C2311yescharacteristic
453#124×C73C2311yescharacteristic
454#124×C73C2311yescharacteristic
455#124×C73C2311yescharacteristic
456#123×C73—21no—
457#123×C73—21no—
458C22⋊Q8×C73—21no—
459C4×Q8×C73C2311yescharacteristic
460C4×Q8×C73C2311yescharacteristic
461C4×Q8×C73C2311yescharacteristic
462C4×Q8×C73C2311yescharacteristic
463C4×D4×C73—21no—
464C4×D4×C73C2311yescharacteristic
465C4×D4×C73C2311yescharacteristic
466C4×D4×C73C2311yescharacteristic
467#117×C73—21no—
468#106×C73C2311yescharacteristic
469C4⋊C8×C73C2311yescharacteristic
470C4⋊C8×C73C2311yescharacteristic
471C4⋊C8×C73C2311yescharacteristic
472#103×C73C2311yescharacteristic
473#103×C73C2311yescharacteristic
474#103×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478#97×C73C2311yescharacteristic
479#97×C73C2311yescharacteristic
480C4×C8×C73C2311yescharacteristic
481C23×D73—21no—
482C23×D73—21no—
483C23×D73—21no—
484#11924029—22no—
485#11924029—22no—
486#11924029—22no—
487#11924029—42no—
488#11924029—41no—
489#11924029—41no—
490#11924029—41no—
491#11924027—82no—
492C2×Dic146—21no—
493C2×Dic146—21no—
494C2×D292—21no—
495C2×D292—21no—
496C2×D292—21no—
497C2×D292C2×D411yescharacteristic
498C2×D292C2×D411yescharacteristic
499C2×D292C2×D411yescharacteristic
500C2×D292C2411yescharacteristic
501C2×D292C2411yescharacteristic
502C2×C22⋊D73—21no—
503C2×C22⋊D73—21no—
504C2×C22⋊D73—21no—
505C2×C22⋊D73—21no—
506C2×C22⋊D73—21no—
507C2×C22⋊D73—21no—
508C2×C22⋊D73—21no—
509C2×C22⋊D73—21no—
510C2×C22⋊D73—21no—
511D4×D73—22no—
512D4×D73—22no—
513D4×D73—22no—
514D4×D73—41no—
515D4×D73—41no—
516D4×D73—41no—
517D4×D73—44no—
518C22×Dic73—21no—
519C22×Dic73—21no—
520C22×Dic73—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—21no—
532C2×C4×D73—21no—
533C2×C4×D73—21no—
534C2×C4×D73—21no—
535C2×C4×D73—44no—
536C2×C4×D73—82no—
537C2×C4×D73—82no—
538C2×C4×D73C2×D411yescharacteristic
539C2×C4×D73C2×D411yescharacteristic
540C2×C4×D73C2×D411yescharacteristic
541C2×C4×D73C2×D411yescharacteristic
542C2×C4×D73C2×D411yescharacteristic
543C2×C4×D73C2×D411yescharacteristic
544C2×C4×D73C2411yescharacteristic
545C2×C4×D73C2411yescharacteristic
546C2×C4×D73C2411yescharacteristic
547#11924015—22no—
548#11924015—22no—
549#11924015—22no—
550D584#4114yescomplemented
551#11924013—22no—
552#11924013—22no—
553#11924013—22no—
554#11924011—22no—
555#11924011—41no—
556C2×#10596831C2411yescharacteristic
557C2×#10596831C2411yescharacteristic
558C2×#10596831C2411yescharacteristic
559C2×#10596831C2411yescharacteristic
560C8×D73—22no—
561C8×D73—22no—
562C8×D73—41no—
563C8×D73—41no—
564C4⋊Dic73—21no—
565C4⋊Dic73—21no—
566C4⋊Dic73—21no—
567C4⋊Dic73—21no—
568C4⋊Dic73—21no—
569C4⋊Dic73C2×D411yescharacteristic
570C4⋊Dic73C2×D411yescharacteristic
571C4⋊Dic73C2×D411yescharacteristic
572C4⋊Dic73C2411yescharacteristic
573C4⋊Dic73C2411yescharacteristic
574C4⋊Dic73C2411yescharacteristic
575C4⋊Dic73C2411yescharacteristic
576C4⋊Dic73C2411yescharacteristic
577C4⋊Dic73C2411yescharacteristic
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—
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#11924005C2×D411yescharacteristic
622#11924005C2×D411yescharacteristic
623#11924005C2×D411yescharacteristic
624#11924005C2×D411yescharacteristic
625#11924005C2×D411yescharacteristic
626#11924005C2×D411yescharacteristic
627C4×Dic73—21no—
628C4×Dic73—21no—
629C4×Dic73—21no—
630C4×Dic73—21no—
631C4×Dic73—21no—
632C4×Dic73—21no—
633C4×Dic73C2×D411yescharacteristic
634C4×Dic73C2×D411yescharacteristic
635C4×Dic73C2×D411yescharacteristic
636C4×Dic73C2×D411yescharacteristic
637C4×Dic73C2×D411yescharacteristic
638C4×Dic73C2×D411yescharacteristic
639C4×Dic73C2411yescharacteristic
640C2×Q8×C73C2×D411yescharacteristic
641C2×Q8×C73C2411yescharacteristic
642C2×Q8×C73C2411yescharacteristic
643C2×Q8×C73C2411yescharacteristic
644C2×D4×C73—21no—
645C2×D4×C73—21no—
646C2×D4×C73C2411yescharacteristic
647C2×D4×C73C2411yescharacteristic
648C2×D4×C73C2411yescharacteristic
649C22×C4×C73—21no—
650C22×C4×C73—21no—
651C22×C4×C73—21no—
652Q16×C73—22no—
653Q16×C73—41no—
654SD16×C73—22no—
655SD16×C73—41no—
656SD16×C73—41no—
657SD16×C73—41no—
658SD16×C73—41no—
659D8×C73—22no—
660D8×C73—41no—
661C2×C8×C73C2411yescharacteristic
662C2×C8×C73C2411yescharacteristic
663C2×C8×C73C2411yescharacteristic
664C2×C8×C73C2411yescharacteristic
665C4⋊C4×C73—21no—
666C4⋊C4×C73—21no—
667C4⋊C4×C73—21no—
668C4⋊C4×C73—21no—
669C4⋊C4×C73—21no—
670C4⋊C4×C73C2×D411yescharacteristic
671C4⋊C4×C73C2×D411yescharacteristic
672C4⋊C4×C73C2×D411yescharacteristic
673C4⋊C4×C73C2411yescharacteristic
674C4⋊C4×C73C2411yescharacteristic
675C22⋊C4×C73—21no—
676C22⋊C4×C73—21no—
677C22⋊C4×C73—21no—
678C22⋊C4×C73—21no—
679C22⋊C4×C73—21no—
680C22⋊C4×C73—21no—
681C22⋊C4×C73—21no—
682C22⋊C4×C73—21no—
683C22⋊C4×C73—21no—
684C22⋊C4×C73—21no—
685C22⋊C4×C73—21no—
686C42×C73—21no—
687C42×C73—21no—
688C42×C73—21no—
689C42×C73C2411yescharacteristic
690C42×C73C2411yescharacteristic
691C42×C73C2411yescharacteristic
692C23×C73—21no—
693C23×C73—21no—
694C23×C73—21no—
695C22×D73—21no—
696C22×D73—21no—
697C22×D73—42no—
698C22×D73—42no—
699C22×D73—42no—
700C22×D73—42no—
701C22×D73—42no—
702C22×D73—42no—
703C22×D73—81no—
704C22×D73—81no—
705C22×D73—81no—
706C22×D73C22×D411yescharacteristic
707C22×D73C22×D411yescharacteristic
708C22×D73C22×D411yescharacteristic
709Q8×C73—21no—
710Q8×C73—21no—
711Q8×C73—21no—
712Q8×C73—21no—
713Q8×C73—21no—
714Q8×C73—21no—
715Q8×C73—41no—
716D4×C73—21no—
717D4×C73—21no—
718D4×C73—21no—
719D4×C73—21no—
720D4×C73—21no—
721D4×C73—21no—
722D4×C73—42no—
723D4×C73—81no—
724C2×C4×C73—21no—
725C2×C4×C73—21no—
726C2×C4×C73—21no—
727C2×C4×C73—21no—
728C2×C4×C73—21no—
729C2×C4×C73—42no—
730C2×C4×C73—81no—
731C2×C4×C73—81no—
732C2×C4×C73C22×D411yescharacteristic
733C2×C4×C73C22×D411yescharacteristic
734C2×C4×C73C22×D411yescharacteristic
735C2×C4×C73C22×D411yescharacteristic
736C2×C4×C73C22×D411yescharacteristic
737C2×C4×C73C22×D411yescharacteristic
738C2×C4×C73C2511yescharacteristic
739C22⋊D73—42no—
740C22⋊D73—42no—
741C22⋊D73—42no—
742C22⋊D73—42no—
743C22⋊D73—42no—
744C22⋊D73—81no—
745C22⋊D73—81no—
746C22⋊D73—81no—
747C22⋊D73—81no—
748C2×Dic73—21no—
749C2×Dic73—21no—
750C2×Dic73—21no—
751C2×Dic73—21no—
752C2×Dic73—21no—
753C2×Dic73—21no—
754C2×Dic73—42no—
755C2×Dic73—42no—
756C2×Dic73—42no—
757C2×Dic73C22×D411yescharacteristic
758C2×Dic73C22×D411yescharacteristic
759C2×Dic73C22×D411yescharacteristic
760C2×Dic73C22×D411yescharacteristic
761C2×Dic73C22×D411yescharacteristic
762D292—22no—
763D292—22no—
764D292—21no—
765D292—21no—
766D292—41no—
767D292—42no—
768D292—42no—
769D292—42no—
770D292C2×#4112yes—
771D292C2×#4112yes—
772C4×D73—22no—
773C4×D73—21no—
774C4×D73—21no—
775C4×D73—21no—
776C4×D73—21no—
777C4×D73—21no—
778C4×D73—21no—
779C4×D73—41no—
780C4×D73—41no—
781C4×D73—41no—
782C4×D73—41no—
783C4×D73—41no—
784C4×D73—42no—
785C4×D73—42no—
786C4×D73—42no—
787C4×D73—42no—
788C4×D73—42no—
789C4×D73—42no—
790C4×D73—42no—
791C4×D73—42no—
792C4×D73—81no—
793C4×D73—81no—
794C4×D73—81no—
795C4×D73—81no—
796C4×D73—81no—
797C4×D73—81no—
798Dic146—81no—
799Dic146—81no—
800C8×C73—21no—
801C8×C73—21no—
802C8×C73—21no—
803C8×C73C2×#4112yes—
804#10596831—21no—
805#10596831—21no—
806#10596831—21no—
807#10596831—21no—
808C22×C73—41no—
809C22×C73—41no—
810C22×C73—41no—
811C22×C73—41no—
812C22×C73—41no—
813C22×C73—41no—
814C22×C73—41no—
815C22×C73—41no—
816C22×C73—41no—
817C22×C73C23×D411yescharacteristic
818C2×D73—21no—
819C2×D73—21no—
820C2×D73—21no—
821C2×D73—21no—
822C2×D73—21no—
823C2×D73—21no—
824C2×D73—22no—
825C2×D73—22no—
826C2×D73—21no—
827C2×D73—21no—
828C2×D73—41no—
829C2×D73—41no—
830C2×D73—41no—
831C2×D73—41no—
832C2×D73—84no—
833C2×D73—84no—
834C2×D73—84no—
835C2×D73#57512yes—
836C4×C73—21no—
837C4×C73—21no—
838C4×C73—21no—
839C4×C73—21no—
840C4×C73—21no—
841C4×C73—21no—
842C4×C73—41no—
843C4×C73—41no—
844C4×C73—41no—
845C4×C73—41no—
846C4×C73—41no—
847C4×C73C22×#4111yescharacteristic
848C4×C73#58511yescharacteristic
849Dic73—21no—
850Dic73—21no—
851Dic73—21no—
852Dic73—21no—
853Dic73—21no—
854Dic73—41no—
855Dic73—41no—
856Dic73—41no—
857Dic73—41no—
858Dic73—41no—
859Dic73—41no—
860#61454—731nomaximal, Sylow
861C2×C73—81no—
862C2×C73—81no—
863C2×C73—81no—
864C2×C73D4×#4111yescharacteristic
865C2×C73C2×#57511yescharacteristic
866C2×C73#358511yescharacteristic
867D73—22no—
868D73—41no—
869D73—41no—
870D73—42no—
871D73—42no—
872#3481—731no—
873#3475—731no—
874#3401D7311yescharacteristic, complemented
875#3389—731no—
876#3376—731no—
877#3370—731no—
878#3347—731no—
879#3344—731no—
880#3337—731no—
881#3319—731no—
882#3314—731no—
883#3310—731no—
884#3307—731no—
885#3297—731no—
886#3296—731no—
887#3280—731no—
888#3267—731no—
889#3264—731no—
890#3183—731no—
891#3181—731no—
892#3180—731no—
893#3115—731no—
894#3114—731no—
895#3114—731no—
896#3111—731no—
897#3111—731no—
898#3110—731no—
899#2970—731no—
900C4×AGL(1,ℤ/8)—731no—
901#2943—731no—
902C2×#442—731no—
903C73#6145411yescharacteristic, complemented, Sylow
904C2×AGL(1,ℤ/8)—731no—
905C2×#135—731no—
906C22×D8—731no—
907#559C2×D7311yescharacteristic, complemented
908#556C2×D7311yescharacteristic, complemented
909#555—731no—
910#554—731no—
911#554—731no—
912#554—731no—
913#553—731no—
914#553—731no—
915#553—1461no—
916#553—1461no—
917#552—731no—
918#552—731no—
919#552—1461no—
920#551—1461no—
921#551—1461no—
922#551—1461no—
923#551—1461no—
924#547—731no—
925#546—731no—
926#546—731no—
927#546—731no—
928#546—731no—
929#546—1461no—
930D42—731no—
931#533—731no—
932#532—731no—
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—
942#525—1461no—
943C4×#41—731no—
944C4×#41—731no—
945C4×#41—731no—
946C4×#41—731no—
947C2×C4×D4—731no—
948C2×C4×D4—731no—
949C2×C4×D4—731no—
950C2×C4×D4—1461no—
951C2×#117—1461no—
952#501—731no—
953#501—731no—
954#499—731no—
955#497C2×D7311yescharacteristic, complemented
956#496C2×D7311yescharacteristic
957#495C2×D7311yescharacteristic, complemented
958#491—731no—
959#490—731no—
960#489—731no—
961#489—731no—
962#488—731no—
963#488—731no—
964#485—731no—
965#485—731no—
966#484—731no—
967#484—731no—
968#483—731no—
969#483—731no—
970#482—731no—
971#482—731no—
972#482—731no—
973#482—731no—
974#480—731no—
975#480—731no—
976#479—731no—
977#479—731no—
978#478—731no—
979#478—731no—
980#478—731no—
981#478—731no—
982#478—731no—
983#478—731no—
984#475—731no—
985#474—731no—
986#474—731no—
987#474—731no—
988#470—731no—
989#469—731no—
990#468—731no—
991#468—731no—
992#467—731no—
993#467—731no—
994#466—731no—
995#466—731no—
996#465—731no—
997#465—731no—
998#465—731no—
999#465—731no—
1000#464C2×D7311yescharacteristic, complemented
1001#464C2×D7311yescharacteristic, complemented
1002#463—731no—
1003#463—731no—
1004#463—731no—
1005#463—731no—
1006#463C2×D7311yescharacteristic, complemented
1007#463C2×D7311yescharacteristic, complemented
1008#461—731no—
1009#461C2×D7311yescharacteristic, complemented
1010#460C2×D7311yescharacteristic, complemented
1011#459—731no—
1012#452—731no—
1013#452—731no—
1014#450—731no—
1015#450—731no—
1016#450—731no—
1017#450—731no—
1018#449—731no—
1019#449—731no—
1020#449—731no—
1021#449—731no—
1022#447—731no—
1023#447—731no—
1024#446—731no—
1025#446C2×D7311yescharacteristic, complemented
1026#442—731no—
1027#442—731no—
1028#442—731no—
1029#442—731no—
1030#442—731no—
1031#442—731no—
1032#442—731no—
1033#442—731no—
1034#442—731no—
1035#442—731no—
1036#442C2×D7311yescharacteristic, complemented
1037#441—731no—
1038#441—731no—
1039#441C2×D7311yescharacteristic, complemented
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—
1049#440—731no—
1050C4×SD16—731no—
1051C4×SD16C2×D7311yescharacteristic, complemented
1052C4×D8—731no—
1053C4×D8—731no—
1054#435—731no—
1055#435—731no—
1056#435—731no—
1057#435—731no—
1058C8×D4—731no—
1059C8×D4—731no—
1060#432—731no—
1061#432—731no—
1062#432—731no—
1063#428—731no—
1064#427—731no—
1065C2×#106—731no—
1066#418—731no—
1067#417—731no—
1068#416—731no—
1069#416—731no—
1070C2×#102—731no—
1071C2×#102—731no—
1072C4×M16—731no—
1073C2×#97—731no—
1074C2×#97—731no—
1075C2×#41—731no—
1076C2×#41—731no—
1077C2×#41—731no—
1078C2×#41—731no—
1079C2×#41—1461no—
1080C22×D4—731no—
1081C22×D4—731no—
1082C22×D4—731no—
1083C22×D4—1461no—
1084C23×C4—1461no—
1085C23×C4—1461no—
1086C23×C4—1461no—
1087AGL(1,ℤ/8)—1464no—
1088#135—1464no—
1089C2×Q16C22×D7311yescharacteristic
1090C2×Q16C22×D7311yescharacteristic
1091C2×SD16—731no—
1092C2×SD16—731no—
1093C2×SD16—731no—
1094C2×SD16C22×D7311yescharacteristic
1095C2×SD16C22×D7311yescharacteristic
1096C2×SD16C22×D7311yescharacteristic
1097C2×SD16C22×D7311yescharacteristic
1098C2×SD16C22×D7311yescharacteristic
1099C2×D8—731no—
1100C2×D8—731no—
1101C2×D8—731no—
1102C2×D8—731no—
1103C2×D8—1464no—
1104C2×D8C22×D7311yescharacteristic
1105C2×D8C22×D7311yescharacteristic
1106C2×M16—731no—
1107C2×M16—731no—
1108C22×C8—731no—
1109C22×C8—731no—
1110C22×C8—731no—
1111C22×C8—731no—
1112C4⋊Q8—731no—
1113C4⋊Q8—731no—
1114C4⋊Q8C22×D7311yescharacteristic
1115#127C22×D7311yescharacteristic
1116#126—21no—
1117#126—21no—
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#125—731no—
1127#125—731no—
1128#125—731no—
1129#125—731no—
1130#125—1461no—
1131#125—1461no—
1132#125—1461no—
1133#125—1461no—
1134#124—21no—
1135#124—1461no—
1136#124—1461no—
1137#124—1461no—
1138#124C22×D7311yescharacteristic
1139#124C22×D7311yescharacteristic
1140#124C22×D7311yescharacteristic
1141#124C22×D7311yescharacteristic
1142#123—21no—
1143#123—21no—
1144#123—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—
1158C22⋊Q8—21no—
1159C22⋊Q8—731no—
1160C22⋊Q8—731no—
1161C22⋊Q8—731no—
1162C22⋊Q8—731no—
1163C22⋊Q8—731no—
1164C22⋊Q8—731no—
1165C22⋊Q8—1461no—
1166C22⋊Q8—1461no—
1167C22⋊Q8—1461no—
1168C22⋊Q8—1461no—
1169C22⋊Q8—1461no—
1170C22⋊Q8—1461no—
1171C22⋊Q8—1461no—
1172C22⋊Q8—1461no—
1173C22⋊Q8—1461no—
1174#121—731no—
1175#121—731no—
1176#121—731no—
1177#121—731no—
1178#121—731no—
1179#121—731no—
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#120—1461no—
1191#120—1461no—
1192#120—1461no—
1193#120—1461no—
1194#120—1461no—
1195#120—1461no—
1196C4×Q8—731no—
1197C4×Q8—731no—
1198C4×Q8—731no—
1199C4×Q8—731no—
1200C4×Q8—1461no—
1201C4×Q8C22×D7311yescharacteristic
1202C4×Q8C22×D7311yescharacteristic
1203C4×Q8C22×D7311yescharacteristic
1204C4×Q8C22×D7311yescharacteristic
1205C4×D4—21no—
1206C4×D4—731no—
1207C4×D4—731no—
1208C4×D4—731no—
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—731no—
1222C4×D4—731no—
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×D4C22×D7311yescharacteristic
1244C4×D4C22×D7311yescharacteristic
1245C4×D4C22×D7311yescharacteristic
1246#117—21no—
1247#117—731no—
1248#117—731no—
1249#117—731no—
1250#117—731no—
1251#117—731no—
1252#117—731no—
1253#117—1461no—
1254#117—1461no—
1255#117—1461no—
1256#117—1461no—
1257#117—1461no—
1258#117—1461no—
1259#117—1461no—
1260#117—1461no—
1261#117—1461no—
1262#117—1461no—
1263#117—1461no—
1264C2×C4⋊C4—731no—
1265C2×C4⋊C4—731no—
1266C2×C4⋊C4—731no—
1267C2×C4⋊C4—1461no—
1268C2×C4⋊C4—1461no—
1269C2×C4⋊C4—1461no—
1270C2×C22⋊C4—1461no—
1271C2×C22⋊C4—1461no—
1272C2×C22⋊C4—1461no—
1273C2×C22⋊C4—1461no—
1274C2×C22⋊C4—1461no—
1275C2×C22⋊C4—1461no—
1276C2×C22⋊C4—1461no—
1277C2×C42—731no—
1278C2×C42—731no—
1279C2×C42—731no—
1280C2×C42—1461no—
1281C2×C42—1461no—
1282C2×C42—1461no—
1283#107—731no—
1284#107—731no—
1285#107—731no—
1286#107—731no—
1287#107—731no—
1288#107—731no—
1289#107—731no—
1290#107—731no—
1291#106—731no—
1292#106—731no—
1293#106—731no—
1294#106—731no—
1295#106—731no—
1296#106—731no—
1297#106—731no—
1298#106C22×D7311yescharacteristic
1299C4⋊C8—731no—
1300C4⋊C8—731no—
1301C4⋊C8—731no—
1302C4⋊C8C22×D7311yescharacteristic
1303C4⋊C8C22×D7311yescharacteristic
1304C4⋊C8C22×D7311yescharacteristic
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#103C22×D7311yescharacteristic
1315#103C22×D7311yescharacteristic
1316#103C22×D7311yescharacteristic
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#102C22×D7311yescharacteristic
1335#102C22×D7311yescharacteristic
1336#102C22×D7311yescharacteristic
1337C22⋊C8—731no—
1338C22⋊C8—731no—
1339C22⋊C8—731no—
1340C22⋊C8—731no—
1341C22⋊C8—731no—
1342C22⋊C8—731no—
1343#97—731no—
1344#97—731no—
1345#97—731no—
1346#97—731no—
1347#97—731no—
1348#97—731no—
1349#97C22×D7311yescharacteristic
1350#97C22×D7311yescharacteristic
1351C4×C8—731no—
1352C4×C8C22×D7311yescharacteristic
1353C24—1461no—
1354C24—1461no—
1355C24—1461no—
1356#41—2921no—
1357#41—2921no—
1358#41—2921no—
1359#41—2922no—
1360#41—5842no—
1361#41—1462no—
1362#41—1462no—
1363#41—1462no—
1364C2×Q8—1461no—
1365C2×Q8—1461no—
1366C2×Q8D4×D7311yescharacteristic
1367C2×Q8C23×D7311yescharacteristic
1368C2×Q8C23×D7311yescharacteristic
1369C2×Q8C23×D7311yescharacteristic
1370C2×D4—21no—
1371C2×D4—21no—
1372C2×D4—2924no—
1373C2×D4—2921no—
1374C2×D4—2921no—
1375C2×D4—2921no—
1376C2×D4—731no—
1377C2×D4—731no—
1378C2×D4—731no—
1379C2×D4—731no—
1380C2×D4—731no—
1381C2×D4—1461no—
1382C2×D4—1461no—
1383C2×D4—1461no—
1384C2×D4—1461no—
1385C2×D4—1461no—
1386C2×D4—1461no—
1387C2×D4—1462no—
1388C2×D4—1462no—
1389C2×D4—1462no—
1390C2×D4—1461no—
1391C2×D4—1461no—
1392C2×D4—1461no—
1393C2×D4—1461no—
1394C2×D4—1461no—
1395C2×D4—1461no—
1396C2×D4C23×D7311yescharacteristic
1397C2×D4C23×D7311yescharacteristic
1398C2×D4C23×D7311yescharacteristic
1399C22×C4—21no—
1400C22×C4—21no—
1401C22×C4—21no—
1402C22×C4—2924no—
1403C22×C4—5842no—
1404C22×C4—5842no—
1405C22×C4—731no—
1406C22×C4—731no—
1407C22×C4—731no—
1408C22×C4—731no—
1409C22×C4—731no—
1410C22×C4—731no—
1411C22×C4—731no—
1412C22×C4—731no—
1413C22×C4—731no—
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×C4—1461no—
1424C22×C4—1461no—
1425C22×C4—1461no—
1426C22×C4—1461no—
1427C22×C4—1461no—
1428C22×C4—1461no—
1429C22×C4—1461no—
1430C22×C4—1461no—
1431Q16—22no—
1432Q16—41no—
1433SD16—22no—
1434SD16—41no—
1435SD16—41no—
1436SD16—41no—
1437SD16—41no—
1438SD16—1462no—
1439SD16—1462no—
1440SD16—1462no—
1441D8—22no—
1442D8—41no—
1443D8—734no—
1444D8—1462no—
1445D8—1462no—
1446D8—1462no—
1447M16—2921no—
1448M16—1462no—
1449C2×C8—2921no—
1450C2×C8—2921no—
1451C2×C8—731no—
1452C2×C8—731no—
1453C2×C8—731no—
1454C2×C8—731no—
1455C2×C8—1462no—
1456C2×C8—1462no—
1457C2×C8C23×D7311yescharacteristic
1458C2×C8C23×D7311yescharacteristic
1459C2×C8C23×D7311yescharacteristic
1460C2×C8C23×D7311yescharacteristic
1461C4⋊C4—21no—
1462C4⋊C4—21no—
1463C4⋊C4—21no—
1464C4⋊C4—21no—
1465C4⋊C4—21no—
1466C4⋊C4—731no—
1467C4⋊C4—731no—
1468C4⋊C4—731no—
1469C4⋊C4—731no—
1470C4⋊C4—731no—
1471C4⋊C4—731no—
1472C4⋊C4—731no—
1473C4⋊C4—731no—
1474C4⋊C4—731no—
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⋊C4—1461no—
1496C4⋊C4—1461no—
1497C4⋊C4D4×D7311yescharacteristic
1498C4⋊C4D4×D7311yescharacteristic
1499C4⋊C4D4×D7311yescharacteristic
1500C4⋊C4C23×D7311yescharacteristic
1501C4⋊C4C23×D7311yescharacteristic
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—21no—
1505C22⋊C4—21no—
1506C22⋊C4—21no—
1507C22⋊C4—21no—
1508C22⋊C4—21no—
1509C22⋊C4—21no—
1510C22⋊C4—21no—
1511C22⋊C4—21no—
1512C22⋊C4—21no—
1513C22⋊C4—731no—
1514C22⋊C4—731no—
1515C22⋊C4—731no—
1516C22⋊C4—731no—
1517C22⋊C4—731no—
1518C22⋊C4—731no—
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⋊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—
1545C42—21no—
1546C42—21no—
1547C42—21no—
1548C42—731no—
1549C42—731no—
1550C42—731no—
1551C42—731no—
1552C42—731no—
1553C42—731no—
1554C42—731no—
1555C42—1461no—
1556C42—1461no—
1557C42—1461no—
1558C42—1461no—
1559C42—1461no—
1560C42—1461no—
1561C42C23×D7311yescharacteristic
1562C42C23×D7311yescharacteristic
1563C42C23×D7311yescharacteristic
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—2922no—
1568C23—2922no—
1569C23—2922no—
1570C23—2922no—
1571C23—2922no—
1572C23—2922no—
1573C23—5841no—
1574C23—5841no—
1575C23—5841no—
1576C23—731no—
1577C23—731no—
1578C23—731no—
1579C23—1461no—
1580C23—1461no—
1581Q8—21no—
1582Q8—21no—
1583Q8—21no—
1584Q8—21no—
1585Q8—21no—
1586Q8—21no—
1587Q8—41no—
1588Q8—5841no—
1589Q8—5841no—
1590D4—21no—
1591D4—21no—
1592D4—21no—
1593D4—21no—
1594D4—21no—
1595D4—21no—
1596D4—42no—
1597D4—81no—
1598D4—2921no—
1599D4—2922no—
1600D4—2922no—
1601D4—2922no—
1602D4—2922no—
1603D4—2922no—
1604D4—2922no—
1605D4—2922no—
1606D4—2922no—
1607D4—5841no—
1608D4—5841no—
1609D4—5841no—
1610D4—5841no—
1611D4—732no—
1612D4—732no—
1613D4—1462no—
1614D4—1462no—
1615D4—1461no—
1616D4—1461no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—42no—
1623C2×C4—81no—
1624C2×C4—81no—
1625C2×C4—2922no—
1626C2×C4—2922no—
1627C2×C4—2921no—
1628C2×C4—2921no—
1629C2×C4—2921no—
1630C2×C4—2921no—
1631C2×C4—2921no—
1632C2×C4—2922no—
1633C2×C4—2922no—
1634C2×C4—2922no—
1635C2×C4—2922no—
1636C2×C4—2922no—
1637C2×C4—2922no—
1638C2×C4—2922no—
1639C2×C4—2922no—
1640C2×C4—2922no—
1641C2×C4—5841no—
1642C2×C4—5841no—
1643C2×C4—5841no—
1644C2×C4—5841no—
1645C2×C4—5841no—
1646C2×C4—5841no—
1647C2×C4—731no—
1648C2×C4—731no—
1649C2×C4—731no—
1650C2×C4—731no—
1651C2×C4—731no—
1652C2×C4—1462no—
1653C2×C4—1461no—
1654C2×C4—1461no—
1655C2×C4—1461no—
1656C2×C4—1461no—
1657C2×C4—1461no—
1658C2×C4—1461no—
1659C2×C4—1461no—
1660C2×C4—1461no—
1661C2×C4—1461no—
1662C2×C4—1461no—
1663C2×C4—1461no—
1664C2×C4—1461no—
1665C2×C4C2×D4×D7311yescharacteristic
1666C2×C4C2×D4×D7311yescharacteristic
1667C2×C4C2×D4×D7311yescharacteristic
1668C2×C4C2×D4×D7311yescharacteristic
1669C2×C4C2×D4×D7311yescharacteristic
1670C2×C4C2×D4×D7311yescharacteristic
1671C2×C4C24×D7311yescharacteristic
1672C8—21no—
1673C8—21no—
1674C8—21no—
1675C8—1461no—
1676C8—1461no—
1677C8—1461no—
1678C8—1461no—
1679C8#41×D7312yes—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—2921no—
1690C22—2921no—
1691C22—2921no—
1692C22—2921no—
1693C22—5844no—
1694C22—5844no—
1695C22—5844no—
1696C22—732no—
1697C22—1461no—
1698C22—1461no—
1699C22—1462no—
1700C22—1462no—
1701C22—1461no—
1702C22—1461no—
1703C22—1461no—
1704C22—1461no—
1705C22—1461no—
1706C22—1461no—
1707C22C22×D4×D7311yescharacteristic
1708C4—21no—
1709C4—21no—
1710C4—21no—
1711C4—21no—
1712C4—21no—
1713C4—21no—
1714C4—41no—
1715C4—41no—
1716C4—41no—
1717C4—41no—
1718C4—41no—
1719C4—2921no—
1720C4—2921no—
1721C4—2921no—
1722C4—2921no—
1723C4—2921no—
1724C4—2921no—
1725C4—1461no—
1726C4—1461no—
1727C4—1461no—
1728C4—1461no—
1729C4—1461no—
1730C4C2×#41×D7311yescharacteristic
1731C4#1798942211yescharacteristic
1732C2—81no—
1733C2—81no—
1734C2—81no—
1735C2—2922no—
1736C2—2922no—
1737C2—2921no—
1738C2—2921no—
1739C2—1462no—
1740C2#2262342111yescharacteristic
1741C2#575×D7311yescharacteristic
1742C2#2262470911yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3401C2
socleC22×C73C23×D4
hypercenter#3401D73
hypocenterC73#61454
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3401

Complements

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

NH ≅ G/Ntype
1. #22623540C2semidirect
2. #22623492C2semidirect
3. #22622891C2semidirect
4. #22622752C2semidirect
5. #22622678C2semidirect
6. #22622436C2semidirect
7. #22622391C2semidirect
8. #22622315C2semidirect
9. #22622094C2semidirect
10. #22622019C2semidirect
11. #22621959C2semidirect
12. #22621914C2semidirect
13. #22621788C2semidirect
14. #22621773C2semidirect
15. #22621615C2semidirect
16. #22621455C2semidirect
17. #22621410C2semidirect
18. #22620657C2semidirect
19. #22620637C2semidirect
20. #22620626C2semidirect
21. #22620081C2semidirect
22. #22620068C2semidirect
23. #22620068C2semidirect
24. #22620039C2semidirect
25. #22620039C2semidirect
26. #22620029C2semidirect
27. #22618944C2semidirect
28. C4×#14556618C2semidirect
29. #22618730C2semidirect
30. #442×D73C2semidirect
31. C73×#3401C2semidirect
35. #17989302C22semidirect
37. #17989297C22semidirect
38. #17989297C22semidirect
41. #17989287C22semidirect
44. #17989278C22semidirect
50. #17989240C22semidirect
54. #17989230C22semidirect
55. #17989230C22semidirect
57. #17989142C22semidirect
58. #17989135C22semidirect
63. #17989116C22semidirect
64. #17989116C22semidirect
65. #17989116C22semidirect
70. C4×#11924029C22semidirect
71. C4×#11924029C22semidirect
72. C4×#11924029C22semidirect
75. C4×D4×D73C22semidirect
76. C4×D4×D73C22semidirect
78. #17988996C22semidirect
79. #17988996C22semidirect
80. #17988989C22semidirect
81. #17988955C22semidirect
82. #17988951C22semidirect
83. #17988946C22semidirect
84. #17988946C22semidirect
85. #17988941C22semidirect
86. #17988941C22semidirect
87. #17988927C22semidirect
88. #17988927C22semidirect
89. #17988921C22semidirect
90. #17988921C22semidirect
91. #17988916C22semidirect
92. #17988916C22semidirect
93. #17988910C22semidirect
94. #17988910C22semidirect
95. #17988909C22semidirect
96. #17988909C22semidirect
98. #17988899C22semidirect
99. #17988894C22semidirect
100. #17988894C22semidirect
101. #17988888C22semidirect
102. #17988888C22semidirect
103. #17988888C22semidirect
104. #17988888C22semidirect
105. #17988887C22semidirect
106. #17988887C22semidirect
107. #17988872C22semidirect
108. #17988868C22semidirect
109. #17988868C22semidirect
110. #17988867C22semidirect
111. #17988842C22semidirect
113. #17988830C22semidirect
114. #17988830C22semidirect
115. #17988825C22semidirect
116. #17988825C22semidirect
117. #17988820C22semidirect
118. #17988820C22semidirect
121. #17988813C22semidirect
122. #17988813C22semidirect
125. #17988799C22semidirect
126. #17988799C22semidirect
127. #17988789C22semidirect
129. #17988748C22semidirect
130. #17988748C22semidirect
133. #17988736C22semidirect
134. #17988736C22semidirect
137. #17988731C22semidirect
138. #17988731C22semidirect
141. #17988718C22semidirect
144. #17988699C22semidirect
145. #17988699C22semidirect
148. #17988697C22semidirect
150. #17988696C22semidirect
151. #17988696C22semidirect
152. #17988694C22semidirect
153. #17988694C22semidirect
154. #17988690C22semidirect
155. #17988690C22semidirect
156. #17988690C22semidirect
157. #17988688C22semidirect
158. #17988688C22semidirect
159. #17988688C22semidirect
160. #17988688C22semidirect
161. #17988688C22semidirect
162. #17988685C22semidirect
163. #17988685C22semidirect
164. C4×#11924015C22semidirect
166. C4×#11924013C22semidirect
168. #17988660C22semidirect
170. #17988657C22semidirect
171. C8×D292C22semidirect
172. #17988652C22semidirect
173. #17988643C22semidirect
174. #17988643C22semidirect
175. #17988643C22semidirect
176. #17988626C22semidirect
177. #17988622C22semidirect
178. #106×D73C22semidirect
179. #17988590C22semidirect
180. #17988587C22semidirect
181. #17988582C22semidirect
182. #17988582C22semidirect
184. #102×D73C22semidirect
185. C4×#11924011C22semidirect
186. #97×D73C22semidirect
187. #97×D73C22semidirect
188. #559×C73C22semidirect
189. #556×C73C22semidirect
190. #497×C73C22semidirect
192. #495×C73C22semidirect
193. #464×C73C22semidirect
194. #464×C73C22semidirect
195. #463×C73C22semidirect
196. #463×C73C22semidirect
197. #461×C73C22semidirect
198. #460×C73C22semidirect
199. #446×C73C22semidirect
200. #442×C73C22semidirect
201. #441×C73C22semidirect
202. C4×SD16×C73C22semidirect
550. D584#41semidirect
874. #3401D73semidirect
903. C73#61454semidirect
907. #559C2×D73semidirect
908. #556C2×D73semidirect
955. #497C2×D73semidirect
957. #495C2×D73semidirect
1000. #464C2×D73semidirect
1001. #464C2×D73semidirect
1006. #463C2×D73semidirect
1007. #463C2×D73semidirect
1009. #461C2×D73semidirect
1010. #460C2×D73semidirect
1025. #446C2×D73semidirect
1036. #442C2×D73semidirect
1039. #441C2×D73semidirect
1051. C4×SD16C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226235402
#226234922
#226228912
#226227522
#226226782
#226224362
#226223912
#226223152
#226220942
#226220192
#226219592
#226219142
#226217882
#226217732
#226216152
#226214552
#226214102
#226206572
#226206372
#226206262
#226200812
#226200682
#226200392
#226200292
#226189442
C4×#145566182
#226187302
#442×D732
C73×#34012
#6145473