Finite Group Databasebeta

← #33954643

Subgroups — #33954643

Order 18688.

2080 conjugacy classes of subgroups.

The subgroup lattice has 1752 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623363C211yesmaximal, characteristic, complemented
2#22623135C211yesmaximal, characteristic, complemented
3#22620197C211yesmaximal, characteristic, complemented
4#22620195C211yesmaximal, characteristic, complemented
5#22620182C211yesmaximal, characteristic, complemented
6#22620141C211yesmaximal, characteristic, complemented
7#22620139C211yesmaximal, characteristic, complemented
8#22620121C211yesmaximal, characteristic, complemented
9#22620115C211yesmaximal, characteristic, complemented
10#22620090C211yesmaximal, characteristic, complemented
11#22620088C211yesmaximal, characteristic, complemented
12#22620074C211yesmaximal, characteristic, complemented
13#22620070C211yesmaximal, characteristic, complemented
14#22620045C211yesmaximal, characteristic, complemented
15#22620043C211yesmaximal, characteristic, complemented
16#22620029C211yesmaximal, characteristic, complemented
17#22620025C211yesmaximal, characteristic, complemented
18#22619912C211yesmaximal, characteristic, complemented
19#22619895C211yesmaximal, characteristic, complemented
20#22619783C211yesmaximal, characteristic, complemented
21#22619759C211yesmaximal, characteristic, complemented
22#22619476C211yesmaximal, characteristic, complemented
23#22619438C211yesmaximal, characteristic, complemented
24#22619236C211yesmaximal, characteristic
25#22619203C211yesmaximal, characteristic, complemented
26C4×#14556620C211yesmaximal, characteristic, complemented
27C4×#14556618C211yesmaximal, characteristic, complemented
28#22618726C211yesmaximal, characteristic, complemented
29#440×D73C211yesmaximal, characteristic, complemented
30#22618579C211yesmaximal, characteristic, complemented
31C73×#3123C211yesmaximal, characteristic, complemented
32C2×#14556636C2211yescharacteristic
33C2×#14556620C2211yescharacteristic
34C2×#14556618C2211yescharacteristic
35C2×#14556612C2211yescharacteristic
36C2×SD16×D73C2211yescharacteristic
37#17989217C2211yescharacteristic, complemented
38#17989209C2211yescharacteristic, complemented
39#17989208C2211yescharacteristic, complemented
40#17989203—21no—
41#17989196—21no—
42#17989195C2211yescharacteristic, complemented
43#17989185—21no—
44#17989178—21no—
45#17989167C2211yescharacteristic
46#17989162C2211yescharacteristic, complemented
47#17989160C2211yescharacteristic
48#17989143—21no—
49#17989142C2211yescharacteristic, complemented
50#17989139C2211yescharacteristic, complemented
51#17989123C2211yescharacteristic, complemented
52#17989122—21no—
53#17989122C2211yescharacteristic, complemented
54#17989120—21no—
55#17989120—21no—
56#17989067C2211yescharacteristic
57#17989067C2211yescharacteristic
58#17989066—21no—
59#17989066C2211yescharacteristic
60#17989066C2211yescharacteristic
61#17989060—21no—
62#17989060—21no—
63#17989059—21no—
64#17989059C2211yescharacteristic
65#17989059C2211yescharacteristic
66C4×#11924029C2211yescharacteristic, complemented
67#17989055C2211yescharacteristic
68#17989055C2211yescharacteristic
69C4×#11924027—21no—
70C4×#11924027C2211yescharacteristic
71C4×#11924027C2211yescharacteristic
72C4×Q8×D73C2211yescharacteristic, complemented
73C2×D4×Dic73C2211yescharacteristic
74C2×#14556551—21no—
75C2×#14556551—21no—
76C4×D4×D73—21no—
77C4×D4×D73C2211yescharacteristic
78C4×D4×D73C2211yescharacteristic
79#17988930C2211yescharacteristic, complemented
80#17988928C2211yescharacteristic, complemented
81#17988927C2211yescharacteristic, complemented
82#17988927C2211yescharacteristic, complemented
83#17988923C2211yescharacteristic, complemented
84#17988921C2211yescharacteristic, complemented
85#17988921C2211yescharacteristic, complemented
86#17988920C2211yescharacteristic, complemented
87#17988919C2211yescharacteristic, complemented
88#17988915C2211yescharacteristic, complemented
89#17988913C2211yescharacteristic, complemented
90#17988911C2211yescharacteristic, complemented
91#17988902C2211yescharacteristic, complemented
92#17988901C2211yescharacteristic, complemented
93#17988897C2211yescharacteristic, complemented
94#17988891C2211yescharacteristic, complemented
95#17988890C2211yescharacteristic, complemented
96#17988885C2211yescharacteristic, complemented
97#17988885C2211yescharacteristic, complemented
98#17988884C2211yescharacteristic, complemented
99#17988883C2211yescharacteristic, complemented
100#17988881C2211yescharacteristic, complemented
101#17988877C2211yescharacteristic, complemented
102#17988876C2211yescharacteristic, complemented
103#17988868C2211yescharacteristic, complemented
104#17988867C2211yescharacteristic, complemented
105#17988865C2211yescharacteristic, complemented
106#17988865C2211yescharacteristic, complemented
107#17988812C2211yescharacteristic, complemented
108#17988810C2211yescharacteristic, complemented
109#17988805C2211yescharacteristic, complemented
110#17988804C2211yescharacteristic, complemented
111#17988804C2211yescharacteristic, complemented
112#17988803C2211yescharacteristic, complemented
113#17988802C2211yescharacteristic, complemented
114#17988802C2211yescharacteristic, complemented
115#17988796C2211yescharacteristic, complemented
116#17988794C2211yescharacteristic, complemented
117#17988791C2211yescharacteristic, complemented
118#17988790C2211yescharacteristic, complemented
119#17988790C2211yescharacteristic, complemented
120#17988789C2211yescharacteristic, complemented
121#17988751C2211yescharacteristic
122#17988750C2211yescharacteristic
123#17988747C2211yescharacteristic
124#17988747C2211yescharacteristic
125#17988746C2211yescharacteristic
126#17988746C2211yescharacteristic
127#17988739C2211yescharacteristic
128#17988738C2211yescharacteristic
129#17988736C2211yescharacteristic
130#17988736C2211yescharacteristic
131#17988734C2211yescharacteristic
132#17988733C2211yescharacteristic
133#17988722C2211yescharacteristic
134#17988721C2211yescharacteristic
135#17988698C2211yescharacteristic, complemented
136#17988697C2211yescharacteristic, complemented
137#17988696C2211yescharacteristic, complemented
138#17988696C2211yescharacteristic, complemented
139#17988693C2211yescharacteristic, complemented
140#17988692C2211yescharacteristic, complemented
141#17988691C2211yescharacteristic, complemented
142#17988691C2211yescharacteristic, complemented
143#17988690C2211yescharacteristic, complemented
144#17988690C2211yescharacteristic, complemented
145#17988689C2211yescharacteristic, complemented
146#17988689C2211yescharacteristic, complemented
147#17988688C2211yescharacteristic, complemented
148#17988688C2211yescharacteristic, complemented
149#17988688C2211yescharacteristic, complemented
150#17988688C2211yescharacteristic, complemented
151#17988687C2211yescharacteristic, complemented
152#17988686C2211yescharacteristic, complemented
153#17988686C2211yescharacteristic, complemented
154#17988685C2211yescharacteristic, complemented
155#17988684C2211yescharacteristic, complemented
156#17988684C2211yescharacteristic, complemented
157C4×Dic292C2211yescharacteristic, complemented
158C4×#11924018C2211yescharacteristic, complemented
159C4×#11924015C2211yescharacteristic, complemented
160C4×#11924016C2211yescharacteristic, complemented
161C4×D584C2211yescharacteristic, complemented
162C4×#11924013C2211yescharacteristic, complemented
163#17988649C2211yescharacteristic, complemented
164#17988648C2211yescharacteristic, complemented
165#17988646C2211yescharacteristic, complemented
166#17988643C2211yescharacteristic, complemented
167#17988643C2211yescharacteristic, complemented
168#17988641C2211yescharacteristic, complemented
169#17988641C2211yescharacteristic, complemented
170#17988626C2211yescharacteristic, complemented
171#17988626C2211yescharacteristic, complemented
172#17988624C2211yescharacteristic, complemented
173#107×D73C2211yescharacteristic, complemented
174#17988612C2211yescharacteristic, complemented
175#17988612C2211yescharacteristic, complemented
176#17988594C2211yescharacteristic, complemented
177#17988590C2211yescharacteristic
178#17988587C2211yescharacteristic, complemented
179#17988585C2211yescharacteristic
180#17988582C2211yescharacteristic, complemented
181#17988580C2211yescharacteristic
182#103×D73C2211yescharacteristic, complemented
183#102×D73C2211yescharacteristic
184#17988552C2211yescharacteristic
185#17988552C2211yescharacteristic
186C4×#11924011C2211yescharacteristic, complemented
187#97×D73C2211yescharacteristic, complemented
188#541×C73C2211yescharacteristic, complemented
189#518×C73C2211yescharacteristic
190#485×C73C2211yescharacteristic, complemented
191#485×C73C2211yescharacteristic, complemented
192#478×C73C2211yescharacteristic, complemented
193#478×C73C2211yescharacteristic, complemented
194#461×C73C2211yescharacteristic, complemented
195#461×C73C2211yescharacteristic, complemented
196#450×C73C2211yescharacteristic
197#450×C73C2211yescharacteristic
198#440×C73C2211yescharacteristic, complemented
199#440×C73C2211yescharacteristic, complemented
200C4×SD16×C73C2211yescharacteristic, complemented
201C4×SD16×C73C2211yescharacteristic, complemented
202#433×C73C2211yescharacteristic, complemented
203#14556636—24no—
204#14556636—24no—
205C2×#11924029C2311yescharacteristic
206C2×#11924028C2311yescharacteristic
207C2×#11924028C2311yescharacteristic
208C2×#11924027—21no—
209C2×#11924027C2311yescharacteristic
210C2×#11924027C2311yescharacteristic
211C2×Q8×D73C2311yescharacteristic
212C22×C22⋊D73—21no—
213C22×C22⋊D73—21no—
214C2×D4×D73—21no—
215C2×D4×D73C2311yescharacteristic
216C2×D4×D73C2311yescharacteristic
217C23×Dic73—21no—
218C22×C4×D73—21no—
219C22×C4×D73—21no—
220#14556620—24no—
221#14556618—24no—
222#14556612—24no—
223C2×Dic292C2311yescharacteristic
224C2×#11924018C2311yescharacteristic
225C2×#11924018C2311yescharacteristic
226C2×#11924017C2311yescharacteristic
227C2×#11924017C2311yescharacteristic
228C2×#11924016C2311yescharacteristic
229C2×#11924016C2311yescharacteristic
230C2×#11924015C2311yescharacteristic
231C2×#11924015C2311yescharacteristic
232SD16×D73—24no—
233C2×D584C2311yescharacteristic
234C2×#11924013C2311yescharacteristic
235C2×#11924013C2311yescharacteristic
236C2×#11924011C2311yescharacteristic
237C2×#11924011C2311yescharacteristic
238C2×C8×D73C2311yescharacteristic
239C2×C8×D73C2311yescharacteristic
240#14556591C2311yescharacteristic
241#14556590—21no—
242#14556590—21no—
243#14556590C2311yescharacteristic
244#14556589C2311yescharacteristic
245#14556586—21no—
246#14556586—21no—
247#14556586—21no—
248#14556586—21no—
249#14556585—21no—
250#14556585—21no—
251#14556583—21no—
252#14556582—21no—
253#14556582C2311yescharacteristic
254#14556581—21no—
255#14556581—21no—
256#14556581—21no—
257#14556580C2311yescharacteristic
258#14556579—21no—
259#14556579C2311yescharacteristic
260#14556577—21no—
261#14556577—21no—
262#14556576—21no—
263#14556576—21no—
264#14556576—21no—
265#14556576—21no—
266#14556576—21no—
267#14556575—21no—
268#14556573—21no—
269#14556573—21no—
270#14556571—21no—
271#14556571—21no—
272#14556571C2311yescharacteristic
273#14556570C2311yescharacteristic
274#14556569—21no—
275#14556569—21no—
276#14556569—21no—
277#14556569—21no—
278#14556569—21no—
279#14556569—21no—
280#14556568—21no—
281#14556567C2311yescharacteristic
282#14556567C2311yescharacteristic
283#14556566—21no—
284#14556566C2311yescharacteristic
285#14556565C2311yescharacteristic
286#14556564—21no—
287#14556564—21no—
288Q8×Dic73C2311yescharacteristic
289Q8×Dic73C2311yescharacteristic
290C4×Dic146—21no—
291C4×Dic146—21no—
292C4×Dic146C2311yescharacteristic
293C4×Dic146C2311yescharacteristic
294C4×Dic146C2311yescharacteristic
295#14556556—21no—
296#14556556—21no—
297#14556556—21no—
298#14556556D411yescharacteristic
299#14556556D411yescharacteristic
300#14556556C2311yescharacteristic
301#14556556C2311yescharacteristic
302#14556556C2311yescharacteristic
303C4×D292—21no—
304C4×D292—21no—
305C4×D292C2311yescharacteristic
306C4×D292C2311yescharacteristic
307C4×D292C2311yescharacteristic
308D4×Dic73—21no—
309D4×Dic73—21no—
310D4×Dic73C2311yescharacteristic
311D4×Dic73C2311yescharacteristic
312D4×Dic73C2311yescharacteristic
313D4×Dic73C2311yescharacteristic
314#14556553—21no—
315#14556553—21no—
316#14556553D411yescharacteristic
317#14556553D411yescharacteristic
318#14556553C2311yescharacteristic
319#14556553C2311yescharacteristic
320#14556553C2311yescharacteristic
321C4×C22⋊D73—21no—
322C4×C22⋊D73—21no—
323C4×C22⋊D73—21no—
324C4×C22⋊D73—21no—
325C4×C22⋊D73—21no—
326C4×C22⋊D73—21no—
327C4×C22⋊D73—21no—
328C4×C22⋊D73—21no—
329#14556551—21no—
330#14556551—21no—
331#14556551—21no—
332#14556551—21no—
333#14556551—21no—
334#14556551—21no—
335#14556551—21no—
336#14556551—21no—
337#14556551—21no—
338#14556551—21no—
339#14556551—21no—
340#14556551—21no—
341#14556551—21no—
342#14556551—21no—
343#14556551—21no—
344#14556551D411yescharacteristic
345#14556551D411yescharacteristic
346#14556551D411yescharacteristic
347#14556551D411yescharacteristic
348#14556549—21no—
349#14556549—21no—
350#14556549—21no—
351#14556549—21no—
352#14556549—21no—
353#14556549C2311yescharacteristic
354#14556549C2311yescharacteristic
355#14556549C2311yescharacteristic
356#14556548—21no—
357#14556548C2311yescharacteristic
358#14556548C2311yescharacteristic
359#14556547—21no—
360#14556547—21no—
361#14556547—21no—
362#14556547—21no—
363#14556547—21no—
364C2×C4⋊Dic73C2311yescharacteristic
365C2×#11924007—21no—
366C2×#11924007—21no—
367C4⋊C4×D73—21no—
368C4⋊C4×D73—21no—
369C4⋊C4×D73C2311yescharacteristic
370C4⋊C4×D73C2311yescharacteristic
371C4⋊C4×D73C2311yescharacteristic
372C2×C22⋊Dic73—21no—
373C2×#11924005—21no—
374C2×#11924005—21no—
375C22⋊C4×D73—21no—
376C22⋊C4×D73—21no—
377C22⋊C4×D73—21no—
378C22⋊C4×D73—21no—
379C2×C4×Dic73—21no—
380C2×C4×Dic73—21no—
381C2×C4×Dic73C2311yescharacteristic
382C42×D73—21no—
383C42×D73—21no—
384C42×D73—21no—
385C42×D73C2311yescharacteristic
386C42×D73C2311yescharacteristic
387#14556525C2311yescharacteristic
388#14556525C2311yescharacteristic
389#14556525C2311yescharacteristic
390#14556525C2311yescharacteristic
391#14556524C2311yescharacteristic
392#14556524C2311yescharacteristic
393#14556524C2311yescharacteristic
394#14556524C2311yescharacteristic
395#14556522C2311yescharacteristic
396#14556522C2311yescharacteristic
397#14556522C2311yescharacteristic
398#14556522C2311yescharacteristic
399C4⋊#10596831C2311yescharacteristic
400C4⋊#10596831C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556520C2311yescharacteristic
403#14556520C2311yescharacteristic
404#14556520C2311yescharacteristic
405#14556516C2311yescharacteristic
406#14556516C2311yescharacteristic
407#14556516C2311yescharacteristic
408#14556516C2311yescharacteristic
409#14556515C2311yescharacteristic
410#14556515C2311yescharacteristic
411#14556515C2311yescharacteristic
412#14556515C2311yescharacteristic
413#14556514C2311yescharacteristic
414#14556514C2311yescharacteristic
415#14556514C2311yescharacteristic
416#14556514C2311yescharacteristic
417#14556513C2311yescharacteristic
418#14556513C2311yescharacteristic
419#14556513C2311yescharacteristic
420#14556513C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556512C2311yescharacteristic
423#14556512C2311yescharacteristic
424#14556512C2311yescharacteristic
425#14556511C2311yescharacteristic
426#14556511C2311yescharacteristic
427#14556511C2311yescharacteristic
428#14556511C2311yescharacteristic
429C22⋊#10596831C2311yescharacteristic
430C22⋊#10596831C2311yescharacteristic
431#14556503C2311yescharacteristic
432#14556503C2311yescharacteristic
433#14556503C2311yescharacteristic
434#14556503C2311yescharacteristic
435#14556502C2311yescharacteristic
436#14556501C2311yescharacteristic
437#14556501C2311yescharacteristic
438#14556501C2311yescharacteristic
439#14556501C2311yescharacteristic
440C4×#10596831C2311yescharacteristic
441C22×D4×C73C2311yescharacteristic
442C2×SD16×C73C2311yescharacteristic
443C2×SD16×C73C2311yescharacteristic
444C2×SD16×C73C2311yescharacteristic
445C2×SD16×C73C2311yescharacteristic
446C4⋊Q8×C73C2311yescharacteristic
447#126×C73—21no—
448#126×C73—21no—
449#125×C73—21no—
450#125×C73—21no—
451#125×C73C2311yescharacteristic
452C22⋊Q8×C73C2311yescharacteristic
453C22⋊Q8×C73C2311yescharacteristic
454C4×Q8×C73C2311yescharacteristic
455C4×Q8×C73C2311yescharacteristic
456C4×D4×C73—21no—
457C4×D4×C73—21no—
458C4×D4×C73C2311yescharacteristic
459C4×D4×C73C2311yescharacteristic
460C4×D4×C73C2311yescharacteristic
461C4×D4×C73C2311yescharacteristic
462#117×C73C2311yescharacteristic
463#117×C73C2311yescharacteristic
464C2×C22⋊C4×C73—21no—
465C2×C22⋊C4×C73—21no—
466#107×C73C2311yescharacteristic
467#107×C73C2311yescharacteristic
468#106×C73C2311yescharacteristic
469#106×C73C2311yescharacteristic
470C4⋊C8×C73C2311yescharacteristic
471C4⋊C8×C73C2311yescharacteristic
472#103×C73C2311yescharacteristic
473#103×C73C2311yescharacteristic
474#103×C73C2311yescharacteristic
475#103×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478#102×C73C2311yescharacteristic
479#102×C73C2311yescharacteristic
480C22⋊C8×C73C2311yescharacteristic
481C22⋊C8×C73C2311yescharacteristic
482#97×C73C2311yescharacteristic
483C4×C8×C73C2311yescharacteristic
484C23×D73—21no—
485C23×D73—21no—
486#11924029—22no—
487#11924029—22no—
488#11924028—22no—
489#11924028—22no—
490#11924028—22no—
491#11924028—22no—
492#11924027—28no—
493#11924027—22no—
494#11924027—22no—
495#11924027—22no—
496#11924027#4114yes—
497C2×Dic146—21no—
498C2×Dic146—21no—
499C2×Dic146—21no—
500C2×Dic146C2×D411yescharacteristic
501C2×Dic146C2411yescharacteristic
502C2×Dic146C2411yescharacteristic
503Q8×D73—22no—
504Q8×D73—22no—
505C2×D292—21no—
506C2×D292—21no—
507C2×D292C2×D411yescharacteristic
508C2×D292C2411yescharacteristic
509C2×D292C2411yescharacteristic
510C2×C22⋊D73—28no—
511C2×C22⋊D73—28no—
512C2×C22⋊D73—21no—
513C2×C22⋊D73—21no—
514C2×C22⋊D73—21no—
515C2×C22⋊D73—21no—
516C2×C22⋊D73—21no—
517C2×C22⋊D73—21no—
518C2×C22⋊D73C2×D411yescharacteristic
519C2×C22⋊D73C2×D411yescharacteristic
520D4×D73—28no—
521D4×D73—22no—
522D4×D73—22no—
523D4×D73—22no—
524D4×D73#4114yes—
525C22×Dic73—21no—
526C22×Dic73—21no—
527C22×Dic73—21no—
528C22×Dic73—21no—
529C22×Dic73—21no—
530C22×Dic73—21no—
531C22×Dic73—21no—
532C22×Dic73—82no—
533C22×Dic73C2×D411yescharacteristic
534C22×Dic73C2×D411yescharacteristic
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—21no—
546C2×C4×D73—21no—
547C2×C4×D73—82no—
548C2×C4×D73—82no—
549C2×C4×D73C2×D411yescharacteristic
550C2×C4×D73C2×D411yescharacteristic
551C2×C4×D73C2×D411yescharacteristic
552C2×C4×D73C2×D411yescharacteristic
553C2×C4×D73C2411yescharacteristic
554C2×C4×D73C2411yescharacteristic
555Dic292—22no—
556#11924018—22no—
557#11924018—22no—
558#11924017—22no—
559#11924017—22no—
560#11924016—22no—
561#11924016—22no—
562#11924015—22no—
563#11924015—22no—
564D584—22no—
565#11924013—22no—
566#11924013—22no—
567#11924011—22no—
568#11924011—22no—
569C2×#10596831C2411yescharacteristic
570C2×#10596831C2411yescharacteristic
571C2×#10596831C2411yescharacteristic
572C2×#10596831C2411yescharacteristic
573C8×D73—22no—
574C8×D73—22no—
575C4⋊Dic73—21no—
576C4⋊Dic73—21no—
577C4⋊Dic73—21no—
578C4⋊Dic73—21no—
579C4⋊Dic73—21no—
580C4⋊Dic73—21no—
581C4⋊Dic73C2411yescharacteristic
582C4⋊Dic73C2411yescharacteristic
583C4⋊Dic73C2411yescharacteristic
584C4⋊Dic73C2411yescharacteristic
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—
596#11924007—21no—
597#11924007—21no—
598#11924007—21no—
599#11924007—21no—
600#11924007—21no—
601#11924007C2×D411yescharacteristic
602#11924007C2×D411yescharacteristic
603#11924007C2×D411yescharacteristic
604#11924007C2×D411yescharacteristic
605C22⋊Dic73—21no—
606C22⋊Dic73—21no—
607C22⋊Dic73—21no—
608C22⋊Dic73—21no—
609C22⋊Dic73—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#11924005C2×D411yescharacteristic
629#11924005C2×D411yescharacteristic
630#11924005C2×D411yescharacteristic
631#11924005C2×D411yescharacteristic
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—
642C4×Dic73—21no—
643C4×Dic73C2×D411yescharacteristic
644C4×Dic73C2×D411yescharacteristic
645C4×Dic73C2×D411yescharacteristic
646C4×Dic73C2×D411yescharacteristic
647C4×Dic73C2×D411yescharacteristic
648C4×Dic73C2×D411yescharacteristic
649C4×Dic73C2411yescharacteristic
650C4×Dic73C2411yescharacteristic
651C24×C73—21no—
652C2×Q8×C73C2411yescharacteristic
653C2×Q8×C73C2411yescharacteristic
654C2×D4×C73—22no—
655C2×D4×C73—22no—
656C2×D4×C73—21no—
657C2×D4×C73C2411yescharacteristic
658C2×D4×C73C2411yescharacteristic
659C22×C4×C73—21no—
660C22×C4×C73—21no—
661C22×C4×C73—21no—
662C22×C4×C73—21no—
663C22×C4×C73C2411yescharacteristic
664SD16×C73—22no—
665SD16×C73—22no—
666SD16×C73—22no—
667SD16×C73—22no—
668C2×C8×C73C2411yescharacteristic
669C2×C8×C73C2411yescharacteristic
670C2×C8×C73C2411yescharacteristic
671C2×C8×C73C2411yescharacteristic
672C4⋊C4×C73—21no—
673C4⋊C4×C73—21no—
674C4⋊C4×C73—21no—
675C4⋊C4×C73—21no—
676C4⋊C4×C73—21no—
677C4⋊C4×C73—21no—
678C4⋊C4×C73—21no—
679C4⋊C4×C73—21no—
680C4⋊C4×C73C2×D411yescharacteristic
681C4⋊C4×C73C2×D411yescharacteristic
682C4⋊C4×C73C2411yescharacteristic
683C4⋊C4×C73C2411yescharacteristic
684C4⋊C4×C73C2411yescharacteristic
685C4⋊C4×C73C2411yescharacteristic
686C22⋊C4×C73—21no—
687C22⋊C4×C73—21no—
688C22⋊C4×C73—21no—
689C22⋊C4×C73—21no—
690C22⋊C4×C73—21no—
691C22⋊C4×C73—21no—
692C22⋊C4×C73—21no—
693C22⋊C4×C73C2×D411yescharacteristic
694C22⋊C4×C73C2×D411yescharacteristic
695C42×C73—21no—
696C42×C73—21no—
697C42×C73—21no—
698C42×C73C2411yescharacteristic
699C42×C73C2411yescharacteristic
700C23×C73—24no—
701C23×C73—21no—
702C23×C73—21no—
703C23×C73—81no—
704C23×C73—81no—
705C23×C73C22×D411yescharacteristic
706C22×D73—21no—
707C22×D73—24no—
708C22×D73—24no—
709C22×D73—21no—
710C22×D73—81no—
711C22×D73—81no—
712C22×D73—81no—
713C22×D73—81no—
714C22×D73C22×D411yescharacteristic
715C22×D73C22×D411yescharacteristic
716Q8×C73—21no—
717Q8×C73—21no—
718Q8×C73—21no—
719Q8×C73—21no—
720D4×C73—24no—
721D4×C73—21no—
722D4×C73—21no—
723D4×C73C2×#4112yes—
724D4×C73C2×#4112yes—
725C2×C4×C73—21no—
726C2×C4×C73—21no—
727C2×C4×C73—21no—
728C2×C4×C73—21no—
729C2×C4×C73—21no—
730C2×C4×C73—21no—
731C2×C4×C73—21no—
732C2×C4×C73—21no—
733C2×C4×C73—81no—
734C2×C4×C73—81no—
735C2×C4×C73—81no—
736C2×C4×C73—81no—
737C2×C4×C73C22×D411yescharacteristic
738C2×C4×C73C22×D411yescharacteristic
739C2×C4×C73C22×D411yescharacteristic
740C2×C4×C73C22×D411yescharacteristic
741C2×C4×C73C22×D411yescharacteristic
742C2×C4×C73C2511yescharacteristic
743C22⋊D73—24no—
744C22⋊D73—24no—
745C22⋊D73—24no—
746C22⋊D73—24no—
747C22⋊D73—22no—
748C22⋊D73—24no—
749C22⋊D73—22no—
750C22⋊D73—81no—
751C2×Dic73—24no—
752C2×Dic73—21no—
753C2×Dic73—24no—
754C2×Dic73—21no—
755C2×Dic73—21no—
756C2×Dic73—21no—
757C2×Dic73—21no—
758C2×Dic73—21no—
759C2×Dic73—41no—
760C2×Dic73—41no—
761C2×Dic73—42no—
762C2×Dic73—42no—
763C2×Dic73—81no—
764C2×Dic73—81no—
765C2×Dic73—81no—
766C2×Dic73C22×D411yescharacteristic
767C2×Dic73C22×D411yescharacteristic
768C2×Dic73C22×D411yescharacteristic
769C2×Dic73C22×D411yescharacteristic
770C2×Dic73C22×D411yescharacteristic
771C2×Dic73C22×D411yescharacteristic
772D292—22no—
773D292—21no—
774D292—21no—
775D292—21no—
776D292—42no—
777D292—81no—
778D292C2×#4112yes—
779C4×D73—24no—
780C4×D73—21no—
781C4×D73—21no—
782C4×D73—41no—
783C4×D73—41no—
784C4×D73—41no—
785C4×D73—41no—
786C4×D73—42no—
787C4×D73—42no—
788C4×D73—42no—
789C4×D73—42no—
790C4×D73—81no—
791C4×D73—81no—
792C4×D73—81no—
793C4×D73—81no—
794C4×D73—81no—
795C4×D73—81no—
796C4×D73—81no—
797C4×D73C2×#4112yes—
798C4×D73C2×#4112yes—
799Dic146—21no—
800Dic146—22no—
801Dic146—21no—
802Dic146—21no—
803Dic146—42no—
804Dic146—81no—
805Dic146—81no—
806Dic146C2×#4112yes—
807C8×C73—21no—
808C8×C73—21no—
809C8×C73—21no—
810C8×C73—21no—
811#10596831—21no—
812#10596831—21no—
813#10596831—21no—
814#10596831—21no—
815C22×C73—21no—
816C22×C73—21no—
817C22×C73—22no—
818C22×C73—22no—
819C22×C73—21no—
820C22×C73—41no—
821C22×C73—41no—
822C22×C73—41no—
823C22×C73—41no—
824C22×C73—84no—
825C22×C73C23×D411yescharacteristic
826C2×D73—21no—
827C2×D73—21no—
828C2×D73—21no—
829C2×D73—21no—
830C2×D73—21no—
831C2×D73—22no—
832C2×D73—41no—
833C2×D73—41no—
834C2×D73—41no—
835C2×D73—41no—
836C2×D73—41no—
837C2×D73—84no—
838C2×D73—84no—
839C2×D73#52512yes—
840C4×C73—21no—
841C4×C73—21no—
842C4×C73—21no—
843C4×C73—21no—
844C4×C73—21no—
845C4×C73—41no—
846C4×C73—41no—
847C4×C73—41no—
848C4×C73—41no—
849C4×C73—41no—
850C4×C73—41no—
851C4×C73C22×#4111yescharacteristic
852C4×C73C22×#4111yescharacteristic
853Dic73—21no—
854Dic73—21no—
855Dic73—21no—
856Dic73—21no—
857Dic73—21no—
858Dic73—22no—
859Dic73—41no—
860Dic73—41no—
861Dic73—41no—
862Dic73—41no—
863Dic73—41no—
864Dic73#52512yes—
865#60575—731nomaximal, Sylow
866C2×C73—42no—
867C2×C73—42no—
868C2×C73—41no—
869C2×C73C2×#52511yescharacteristic
870C2×C73#358511yescharacteristic
871C2×C73#358611yescharacteristic
872D73—22no—
873D73—41no—
874D73—42no—
875D73—81no—
876#3461—731no—
877C4×H(5,𝔽2)—731no—
878#3124—731no—
879#3124—731no—
880#3123—731no—
881#3123D7311yescharacteristic, complemented
882#3120—731no—
883#3120—731no—
884#3118—731no—
885#3118—731no—
886#3116—731no—
887#3116—731no—
888#3114—731no—
889#3114—731no—
890#3111—731no—
891#3111—731no—
892#3110—731no—
893#3110—731no—
894#3098—731no—
895#3097—731no—
896#3083—731no—
897#3081—731no—
898#3046—731no—
899#3042—731no—
900#3012—731no—
901#3009—731no—
902C4×#137—731no—
903C4×AGL(1,ℤ/8)—731no—
904#2943—731no—
905C2×#440—731no—
906#2923—731no—
907C73#6057511yescharacteristic, complemented, Sylow
908C2×H(5,𝔽2)—731no—
909C2×#137—731no—
910C2×AGL(1,ℤ/8)—731no—
911C2×#135—731no—
912C22×SD16—731no—
913#544—731no—
914#542—731no—
915#542—731no—
916#542—1461no—
917#541—731no—
918#541—1461no—
919#541C2×D7311yescharacteristic, complemented
920#539—1461no—
921#539—1461no—
922#537—731no—
923#536—731no—
924#536—731no—
925#533—731no—
926#533—731no—
927#533—1461no—
928#529—731no—
929#529—731no—
930#529—1461no—
931#529—1461no—
932#529—1461no—
933#520—731no—
934#520—731no—
935#520—731no—
936#520—731no—
937#520—1461no—
938#518—731no—
939#518—731no—
940#518—1461no—
941#518—1461no—
942#518—1461no—
943#518C2×D7311yescharacteristic
944C4×#41—731no—
945C4×#41—731no—
946C4×#41—731no—
947C4×#41—731no—
948C4×#41—731no—
949C4×#41—1461no—
950C2×C4×Q8—731no—
951C2×C4×D4—731no—
952C2×C4×D4—731no—
953C2×C4×D4—731no—
954C2×C4×D4—1461no—
955C2×C4×D4—1461no—
956C2×C4×D4—1461no—
957#485—731no—
958#485—731no—
959#485—731no—
960#485—731no—
961#485C2×D7311yescharacteristic, complemented
962#485C2×D7311yescharacteristic, complemented
963#484—731no—
964#484—731no—
965#484—731no—
966#484—731no—
967#483—731no—
968#483—731no—
969#482—731no—
970#482—731no—
971#480—731no—
972#480—731no—
973#479—731no—
974#479—731no—
975#478—731no—
976#478—731no—
977#478—731no—
978#478—731no—
979#478C2×D7311yescharacteristic, complemented
980#478C2×D7311yescharacteristic, complemented
981#477—731no—
982#477—731no—
983#476—731no—
984#476—731no—
985#474—731no—
986#474—731no—
987#474—731no—
988#474—731no—
989#464—731no—
990#464—731no—
991#463—731no—
992#463—731no—
993#463—731no—
994#463—731no—
995#463—731no—
996#463—731no—
997#462—731no—
998#462—731no—
999#461—731no—
1000#461—731no—
1001#461—731no—
1002#461—731no—
1003#461C2×D7311yescharacteristic, complemented
1004#461C2×D7311yescharacteristic, complemented
1005#452—731no—
1006#452—731no—
1007#452—731no—
1008#452—731no—
1009#452—731no—
1010#452—731no—
1011#450—731no—
1012#450—731no—
1013#450—731no—
1014#450—731no—
1015#450C2×D7311yescharacteristic
1016#450C2×D7311yescharacteristic
1017#449—731no—
1018#449—731no—
1019#447—731no—
1020#447—731no—
1021#442—731no—
1022#442—731no—
1023#442—731no—
1024#442—731no—
1025#441—731no—
1026#441—731no—
1027#441—731no—
1028#441—731no—
1029#440—731no—
1030#440—731no—
1031#440—731no—
1032#440—731no—
1033#440—731no—
1034#440—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#440C2×D7311yescharacteristic, complemented
1044#440C2×D7311yescharacteristic, complemented
1045C4×Q16—731no—
1046C4×Q16—731no—
1047C4×SD16—731no—
1048C4×SD16—731no—
1049C4×SD16C2×D7311yescharacteristic, complemented
1050C4×SD16C2×D7311yescharacteristic, complemented
1051C4×D8—731no—
1052C4×D8—731no—
1053#433—731no—
1054#433—731no—
1055#433—731no—
1056#433C2×D7311yescharacteristic, complemented
1057#432—731no—
1058#432—731no—
1059#432—731no—
1060#432—731no—
1061#428—731no—
1062#428—731no—
1063#427—731no—
1064C2×#107—731no—
1065#424—731no—
1066#424—731no—
1067#419—731no—
1068#418—731no—
1069#417—731no—
1070#417—731no—
1071#416—731no—
1072#416—731no—
1073C2×#103—731no—
1074C2×#102—731no—
1075#408—731no—
1076#408—731no—
1077C4×M16—731no—
1078C2×#97—731no—
1079H(5,𝔽2)—1464no—
1080H(5,𝔽2)—1464no—
1081C2×#41—731no—
1082C2×#41—731no—
1083C2×#41—731no—
1084C2×#41—731no—
1085C2×#41—731no—
1086C2×#41—1461no—
1087C22×Q8—731no—
1088C22×D4—731no—
1089C22×D4—731no—
1090C22×D4—1461no—
1091C22×D4—1461no—
1092C22×D4—1461no—
1093C22×D4C22×D7311yescharacteristic
1094C23×C4—1461no—
1095C23×C4—1461no—
1096C23×C4—1461no—
1097#137—1464no—
1098AGL(1,ℤ/8)—1464no—
1099#135—1464no—
1100C2×Q16—731no—
1101C2×Q16—731no—
1102C2×Q16—731no—
1103C2×SD16—731no—
1104C2×SD16—731no—
1105C2×SD16—731no—
1106C2×SD16—731no—
1107C2×SD16—731no—
1108C2×SD16—731no—
1109C2×SD16—1464no—
1110C2×SD16C22×D7311yescharacteristic
1111C2×SD16C22×D7311yescharacteristic
1112C2×SD16C22×D7311yescharacteristic
1113C2×SD16C22×D7311yescharacteristic
1114C2×D8—731no—
1115C2×D8—731no—
1116C2×D8—731no—
1117C2×M16—731no—
1118C2×M16—731no—
1119C22×C8—731no—
1120C22×C8—731no—
1121C4⋊Q8—731no—
1122C4⋊Q8—731no—
1123C4⋊Q8—731no—
1124C4⋊Q8—1461no—
1125C4⋊Q8—1461no—
1126C4⋊Q8C22×D7311yescharacteristic
1127#126—21no—
1128#126—21no—
1129#126—1461no—
1130#126—1461no—
1131#126—1461no—
1132#126—1461no—
1133#126—1461no—
1134#126—1461no—
1135#125—21no—
1136#125—21no—
1137#125—731no—
1138#125—1461no—
1139#125—1461no—
1140#125—1461no—
1141#125—1461no—
1142#125—1461no—
1143#125C22×D7311yescharacteristic
1144#124—731no—
1145#124—731no—
1146#124—1461no—
1147#124—1461no—
1148#124—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—
1157C22⋊Q8—731no—
1158C22⋊Q8—731no—
1159C22⋊Q8—731no—
1160C22⋊Q8—731no—
1161C22⋊Q8—1461no—
1162C22⋊Q8—1461no—
1163C22⋊Q8—1461no—
1164C22⋊Q8—1461no—
1165C22⋊Q8—1461no—
1166C22⋊Q8—1461no—
1167C22⋊Q8—1461no—
1168C22⋊Q8—1461no—
1169C22⋊Q8—1461no—
1170C22⋊Q8C22×D7311yescharacteristic
1171C22⋊Q8C22×D7311yescharacteristic
1172#121—731no—
1173#121—731no—
1174#121—1461no—
1175#121—1461no—
1176#121—1461no—
1177C4×Q8—731no—
1178C4×Q8—731no—
1179C4×Q8—731no—
1180C4×Q8—731no—
1181C4×Q8—731no—
1182C4×Q8—731no—
1183C4×Q8—731no—
1184C4×Q8—731no—
1185C4×Q8—731no—
1186C4×Q8—731no—
1187C4×Q8—1461no—
1188C4×Q8—1461no—
1189C4×Q8—1461no—
1190C4×Q8—1461no—
1191C4×Q8—1461no—
1192C4×Q8C22×D7311yescharacteristic
1193C4×Q8C22×D7311yescharacteristic
1194C4×D4—21no—
1195C4×D4—21no—
1196C4×D4—731no—
1197C4×D4—731no—
1198C4×D4—731no—
1199C4×D4—731no—
1200C4×D4—731no—
1201C4×D4—731no—
1202C4×D4—731no—
1203C4×D4—731no—
1204C4×D4—731no—
1205C4×D4—731no—
1206C4×D4—731no—
1207C4×D4—731no—
1208C4×D4—731no—
1209C4×D4—731no—
1210C4×D4—731no—
1211C4×D4—731no—
1212C4×D4—1461no—
1213C4×D4—1461no—
1214C4×D4—1461no—
1215C4×D4—1461no—
1216C4×D4—1461no—
1217C4×D4—1461no—
1218C4×D4—1461no—
1219C4×D4—1461no—
1220C4×D4—1461no—
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×D4C22×D7311yescharacteristic
1242C4×D4C22×D7311yescharacteristic
1243C4×D4C22×D7311yescharacteristic
1244C4×D4C22×D7311yescharacteristic
1245#117—731no—
1246#117—731no—
1247#117—731no—
1248#117—731no—
1249#117—731no—
1250#117—1461no—
1251#117—1461no—
1252#117—1461no—
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#117C22×D7311yescharacteristic
1262#117C22×D7311yescharacteristic
1263C2×C4⋊C4—731no—
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×C4⋊C4—1461no—
1271C2×C22⋊C4—21no—
1272C2×C22⋊C4—21no—
1273C2×C22⋊C4—1461no—
1274C2×C22⋊C4—1461no—
1275C2×C22⋊C4—1461no—
1276C2×C22⋊C4—1461no—
1277C2×C22⋊C4—1461no—
1278C2×C22⋊C4—1461no—
1279C2×C22⋊C4—1461no—
1280C2×C42—731no—
1281C2×C42—731no—
1282C2×C42—731no—
1283C2×C42—1461no—
1284C2×C42—1461no—
1285C2×C42—1461no—
1286C2×C42—1461no—
1287C2×C42—1461no—
1288#107—731no—
1289#107—731no—
1290#107—731no—
1291#107—731no—
1292#107—731no—
1293#107—731no—
1294#107—731no—
1295#107—731no—
1296#107C22×D7311yescharacteristic
1297#107C22×D7311yescharacteristic
1298#106—731no—
1299#106—731no—
1300#106—731no—
1301#106—731no—
1302#106C22×D7311yescharacteristic
1303#106C22×D7311yescharacteristic
1304C4⋊C8—731no—
1305C4⋊C8—731no—
1306C4⋊C8—731no—
1307C4⋊C8—731no—
1308C4⋊C8—731no—
1309C4⋊C8—731no—
1310C4⋊C8C22×D7311yescharacteristic
1311C4⋊C8C22×D7311yescharacteristic
1312#103—731no—
1313#103—731no—
1314#103—731no—
1315#103—731no—
1316#103—731no—
1317#103—731no—
1318#103—731no—
1319#103—731no—
1320#103—731no—
1321#103—731no—
1322#103—731no—
1323#103—731no—
1324#103C22×D7311yescharacteristic
1325#103C22×D7311yescharacteristic
1326#103C22×D7311yescharacteristic
1327#103C22×D7311yescharacteristic
1328#102—731no—
1329#102—731no—
1330#102—731no—
1331#102—731no—
1332#102—731no—
1333#102—731no—
1334#102—731no—
1335#102—731no—
1336#102—731no—
1337#102—731no—
1338#102—731no—
1339#102—731no—
1340#102C22×D7311yescharacteristic
1341#102C22×D7311yescharacteristic
1342#102C22×D7311yescharacteristic
1343#102C22×D7311yescharacteristic
1344C22⋊C8—731no—
1345C22⋊C8—731no—
1346C22⋊C8—731no—
1347C22⋊C8—731no—
1348C22⋊C8—731no—
1349C22⋊C8—731no—
1350C22⋊C8C22×D7311yescharacteristic
1351C22⋊C8C22×D7311yescharacteristic
1352#97—731no—
1353#97—731no—
1354#97—731no—
1355#97—731no—
1356#97—731no—
1357#97C22×D7311yescharacteristic
1358C4×C8—731no—
1359C4×C8C22×D7311yescharacteristic
1360C24—21no—
1361C24—1461no—
1362C24—1461no—
1363#41—734no—
1364#41—1462no—
1365#41—1462no—
1366#41—1462no—
1367#41—1462no—
1368#41—1462no—
1369#41—1462no—
1370#41—1462no—
1371#41—1462no—
1372#41—1468no—
1373#41—1462no—
1374C2×Q8—731no—
1375C2×Q8—731no—
1376C2×Q8—731no—
1377C2×Q8—1461no—
1378C2×Q8—1461no—
1379C2×Q8—1462no—
1380C2×Q8—1462no—
1381C2×Q8—1461no—
1382C2×Q8C23×D7311yescharacteristic
1383C2×Q8C23×D7311yescharacteristic
1384C2×D4—22no—
1385C2×D4—22no—
1386C2×D4—21no—
1387C2×D4—734no—
1388C2×D4—731no—
1389C2×D4—731no—
1390C2×D4—731no—
1391C2×D4—731no—
1392C2×D4—731no—
1393C2×D4—1461no—
1394C2×D4—1461no—
1395C2×D4—1462no—
1396C2×D4—1461no—
1397C2×D4—1461no—
1398C2×D4—1462no—
1399C2×D4—1468no—
1400C2×D4—1461no—
1401C2×D4—1461no—
1402C2×D4—1461no—
1403C2×D4—1468no—
1404C2×D4—1468no—
1405C2×D4—1461no—
1406C2×D4—1462no—
1407C2×D4C23×D7311yescharacteristic
1408C2×D4C23×D7311yescharacteristic
1409C22×C4—21no—
1410C22×C4—21no—
1411C22×C4—21no—
1412C22×C4—21no—
1413C22×C4—5842no—
1414C22×C4—5842no—
1415C22×C4—5842no—
1416C22×C4—731no—
1417C22×C4—731no—
1418C22×C4—731no—
1419C22×C4—731no—
1420C22×C4—731no—
1421C22×C4—731no—
1422C22×C4—731no—
1423C22×C4—731no—
1424C22×C4—1461no—
1425C22×C4—1461no—
1426C22×C4—1461no—
1427C22×C4—1461no—
1428C22×C4—1461no—
1429C22×C4—1461no—
1430C22×C4—1461no—
1431C22×C4—1461no—
1432C22×C4—1461no—
1433C22×C4—1461no—
1434C22×C4—1461no—
1435C22×C4—1461no—
1436C22×C4—1461no—
1437C22×C4—1461no—
1438C22×C4—1461no—
1439C22×C4—1461no—
1440C22×C4—1461no—
1441C22×C4—1461no—
1442C22×C4—1461no—
1443C22×C4C23×D7311yescharacteristic
1444Q16—1462no—
1445Q16—1462no—
1446Q16—1462no—
1447SD16—22no—
1448SD16—22no—
1449SD16—22no—
1450SD16—22no—
1451SD16—1462no—
1452SD16—1462no—
1453SD16—1462no—
1454SD16—1462no—
1455SD16—1462no—
1456SD16—1462no—
1457D8—1462no—
1458D8—1462no—
1459D8—1462no—
1460M16—1462no—
1461M16—1462no—
1462C2×C8—731no—
1463C2×C8—731no—
1464C2×C8—731no—
1465C2×C8—731no—
1466C2×C8—1462no—
1467C2×C8—1462no—
1468C2×C8C23×D7311yescharacteristic
1469C2×C8C23×D7311yescharacteristic
1470C2×C8C23×D7311yescharacteristic
1471C2×C8C23×D7311yescharacteristic
1472C4⋊C4—21no—
1473C4⋊C4—21no—
1474C4⋊C4—21no—
1475C4⋊C4—21no—
1476C4⋊C4—21no—
1477C4⋊C4—21no—
1478C4⋊C4—21no—
1479C4⋊C4—21no—
1480C4⋊C4—731no—
1481C4⋊C4—731no—
1482C4⋊C4—731no—
1483C4⋊C4—731no—
1484C4⋊C4—731no—
1485C4⋊C4—731no—
1486C4⋊C4—731no—
1487C4⋊C4—731no—
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⋊C4—1461no—
1498C4⋊C4—1461no—
1499C4⋊C4—1461no—
1500C4⋊C4—1461no—
1501C4⋊C4—1461no—
1502C4⋊C4—1461no—
1503C4⋊C4—1461no—
1504C4⋊C4—1461no—
1505C4⋊C4—1461no—
1506C4⋊C4—1461no—
1507C4⋊C4—1461no—
1508C4⋊C4—1461no—
1509C4⋊C4—1461no—
1510C4⋊C4D4×D7311yescharacteristic
1511C4⋊C4D4×D7311yescharacteristic
1512C4⋊C4C23×D7311yescharacteristic
1513C4⋊C4C23×D7311yescharacteristic
1514C4⋊C4C23×D7311yescharacteristic
1515C4⋊C4C23×D7311yescharacteristic
1516C22⋊C4—21no—
1517C22⋊C4—21no—
1518C22⋊C4—21no—
1519C22⋊C4—21no—
1520C22⋊C4—21no—
1521C22⋊C4—21no—
1522C22⋊C4—21no—
1523C22⋊C4—731no—
1524C22⋊C4—731no—
1525C22⋊C4—731no—
1526C22⋊C4—731no—
1527C22⋊C4—1461no—
1528C22⋊C4—1461no—
1529C22⋊C4—1461no—
1530C22⋊C4—1461no—
1531C22⋊C4—1461no—
1532C22⋊C4—1461no—
1533C22⋊C4—1461no—
1534C22⋊C4—1461no—
1535C22⋊C4—1461no—
1536C22⋊C4—1461no—
1537C22⋊C4—1461no—
1538C22⋊C4—1461no—
1539C22⋊C4—1461no—
1540C22⋊C4—1461no—
1541C22⋊C4—1461no—
1542C22⋊C4—1461no—
1543C22⋊C4—1461no—
1544C22⋊C4—1461no—
1545C22⋊C4—1461no—
1546C22⋊C4—1461no—
1547C22⋊C4—1461no—
1548C22⋊C4—1461no—
1549C22⋊C4—1461no—
1550C22⋊C4D4×D7311yescharacteristic
1551C22⋊C4D4×D7311yescharacteristic
1552C42—21no—
1553C42—21no—
1554C42—21no—
1555C42—731no—
1556C42—731no—
1557C42—731no—
1558C42—731no—
1559C42—731no—
1560C42—731no—
1561C42—731no—
1562C42—731no—
1563C42—1461no—
1564C42—1461no—
1565C42—1461no—
1566C42—1461no—
1567C42—1461no—
1568C42—1461no—
1569C42—1461no—
1570C42—1461no—
1571C42—1461no—
1572C42—1461no—
1573C42—1461no—
1574C42C23×D7311yescharacteristic
1575C42C23×D7311yescharacteristic
1576C23—24no—
1577C23—21no—
1578C23—21no—
1579C23—81no—
1580C23—81no—
1581C23—5841no—
1582C23—5841no—
1583C23—5841no—
1584C23—5841no—
1585C23—731no—
1586C23—731no—
1587C23—1464no—
1588C23—1464no—
1589C23—1461no—
1590C23—1461no—
1591C23C2×D4×D7311yescharacteristic
1592Q8—21no—
1593Q8—21no—
1594Q8—21no—
1595Q8—21no—
1596Q8—2922no—
1597Q8—5841no—
1598Q8—5841no—
1599Q8—732no—
1600Q8—1462no—
1601Q8—1461no—
1602Q8—1461no—
1603Q8—1461no—
1604D4—24no—
1605D4—21no—
1606D4—21no—
1607D4—2922no—
1608D4—5841no—
1609D4—5841no—
1610D4—732no—
1611D4—1462no—
1612D4—1462no—
1613D4—1464no—
1614D4—1462no—
1615D4—1464no—
1616D4—1464no—
1617D4—1464no—
1618D4—1464no—
1619D4—1461no—
1620D4—1461no—
1621D4—1461no—
1622D4#41×D7312yes—
1623D4#41×D7312yes—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—81no—
1633C2×C4—81no—
1634C2×C4—81no—
1635C2×C4—81no—
1636C2×C4—2921no—
1637C2×C4—2921no—
1638C2×C4—2921no—
1639C2×C4—2921no—
1640C2×C4—2922no—
1641C2×C4—2922no—
1642C2×C4—2922no—
1643C2×C4—2922no—
1644C2×C4—2922no—
1645C2×C4—2922no—
1646C2×C4—2921no—
1647C2×C4—2921no—
1648C2×C4—5841no—
1649C2×C4—5841no—
1650C2×C4—5841no—
1651C2×C4—5841no—
1652C2×C4—5841no—
1653C2×C4—5841no—
1654C2×C4—5841no—
1655C2×C4—5841no—
1656C2×C4—5841no—
1657C2×C4—5841no—
1658C2×C4—731no—
1659C2×C4—732no—
1660C2×C4—732no—
1661C2×C4—731no—
1662C2×C4—731no—
1663C2×C4—731no—
1664C2×C4—731no—
1665C2×C4—731no—
1666C2×C4—1464no—
1667C2×C4—1461no—
1668C2×C4—1461no—
1669C2×C4—1461no—
1670C2×C4—1461no—
1671C2×C4—1461no—
1672C2×C4—1464no—
1673C2×C4—1464no—
1674C2×C4—1461no—
1675C2×C4—1461no—
1676C2×C4—1461no—
1677C2×C4C2×D4×D7311yescharacteristic
1678C2×C4C2×D4×D7311yescharacteristic
1679C2×C4C2×D4×D7311yescharacteristic
1680C2×C4C2×D4×D7311yescharacteristic
1681C2×C4C2×D4×D7311yescharacteristic
1682C2×C4C24×D7311yescharacteristic
1683C8—21no—
1684C8—21no—
1685C8—21no—
1686C8—21no—
1687C8—1461no—
1688C8—1461no—
1689C8—1461no—
1690C8—1461no—
1691C22—21no—
1692C22—22no—
1693C22—22no—
1694C22—21no—
1695C22—21no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—84no—
1701C22—2921no—
1702C22—2921no—
1703C22—2921no—
1704C22—2921no—
1705C22—2921no—
1706C22—5844no—
1707C22—5844no—
1708C22—732no—
1709C22—1462no—
1710C22—1461no—
1711C22—1461no—
1712C22—1461no—
1713C22—1461no—
1714C22—1461no—
1715C22C22×D4×D7311yescharacteristic
1716C4—21no—
1717C4—21no—
1718C4—21no—
1719C4—21no—
1720C4—21no—
1721C4—41no—
1722C4—41no—
1723C4—41no—
1724C4—41no—
1725C4—41no—
1726C4—41no—
1727C4—2921no—
1728C4—2921no—
1729C4—2921no—
1730C4—2921no—
1731C4—2921no—
1732C4—732no—
1733C4—1461no—
1734C4—1462no—
1735C4—1461no—
1736C4—1461no—
1737C4—1461no—
1738C4—1461no—
1739C4C2×#41×D7311yescharacteristic
1740C4C2×#41×D7311yescharacteristic
1741C2—41no—
1742C2—42no—
1743C2—42no—
1744C2—2922no—
1745C2—2921no—
1746C2—5841no—
1747C2—1462no—
1748C2#525×D7311yescharacteristic
1749C2#2262470911yescharacteristic
1750C2#2262471311yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3123C2
socleC22×C73C23×D4
prime radical#22619236C2
hypercenter#3123D73
hypocenterC73#60575
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ #117 ◁ #3123

Complements

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

NH ≅ G/Ntype
1. #22623363C2semidirect
2. #22623135C2semidirect
3. #22620197C2semidirect
4. #22620195C2semidirect
5. #22620182C2semidirect
6. #22620141C2semidirect
7. #22620139C2semidirect
8. #22620121C2semidirect
9. #22620115C2semidirect
10. #22620090C2semidirect
11. #22620088C2semidirect
12. #22620074C2semidirect
13. #22620070C2semidirect
14. #22620045C2semidirect
15. #22620043C2semidirect
16. #22620029C2semidirect
17. #22620025C2semidirect
18. #22619912C2semidirect
19. #22619895C2semidirect
20. #22619783C2semidirect
21. #22619759C2semidirect
22. #22619476C2semidirect
23. #22619438C2semidirect
25. #22619203C2semidirect
26. C4×#14556620C2semidirect
27. C4×#14556618C2semidirect
28. #22618726C2semidirect
29. #440×D73C2semidirect
30. #22618579C2semidirect
31. C73×#3123C2semidirect
37. #17989217C22semidirect
38. #17989209C22semidirect
39. #17989208C22semidirect
42. #17989195C22semidirect
46. #17989162C22semidirect
49. #17989142C22semidirect
50. #17989139C22semidirect
51. #17989123C22semidirect
53. #17989122C22semidirect
66. C4×#11924029C22semidirect
72. C4×Q8×D73C22semidirect
79. #17988930C22semidirect
80. #17988928C22semidirect
81. #17988927C22semidirect
82. #17988927C22semidirect
83. #17988923C22semidirect
84. #17988921C22semidirect
85. #17988921C22semidirect
86. #17988920C22semidirect
87. #17988919C22semidirect
88. #17988915C22semidirect
89. #17988913C22semidirect
90. #17988911C22semidirect
91. #17988902C22semidirect
92. #17988901C22semidirect
93. #17988897C22semidirect
94. #17988891C22semidirect
95. #17988890C22semidirect
96. #17988885C22semidirect
97. #17988885C22semidirect
98. #17988884C22semidirect
99. #17988883C22semidirect
100. #17988881C22semidirect
101. #17988877C22semidirect
102. #17988876C22semidirect
103. #17988868C22semidirect
104. #17988867C22semidirect
105. #17988865C22semidirect
106. #17988865C22semidirect
107. #17988812C22semidirect
108. #17988810C22semidirect
109. #17988805C22semidirect
110. #17988804C22semidirect
111. #17988804C22semidirect
112. #17988803C22semidirect
113. #17988802C22semidirect
114. #17988802C22semidirect
115. #17988796C22semidirect
116. #17988794C22semidirect
117. #17988791C22semidirect
118. #17988790C22semidirect
119. #17988790C22semidirect
120. #17988789C22semidirect
135. #17988698C22semidirect
136. #17988697C22semidirect
137. #17988696C22semidirect
138. #17988696C22semidirect
139. #17988693C22semidirect
140. #17988692C22semidirect
141. #17988691C22semidirect
142. #17988691C22semidirect
143. #17988690C22semidirect
144. #17988690C22semidirect
145. #17988689C22semidirect
146. #17988689C22semidirect
147. #17988688C22semidirect
148. #17988688C22semidirect
149. #17988688C22semidirect
150. #17988688C22semidirect
151. #17988687C22semidirect
152. #17988686C22semidirect
153. #17988686C22semidirect
154. #17988685C22semidirect
155. #17988684C22semidirect
156. #17988684C22semidirect
157. C4×Dic292C22semidirect
158. C4×#11924018C22semidirect
159. C4×#11924015C22semidirect
160. C4×#11924016C22semidirect
161. C4×D584C22semidirect
162. C4×#11924013C22semidirect
163. #17988649C22semidirect
164. #17988648C22semidirect
165. #17988646C22semidirect
166. #17988643C22semidirect
167. #17988643C22semidirect
168. #17988641C22semidirect
169. #17988641C22semidirect
170. #17988626C22semidirect
171. #17988626C22semidirect
172. #17988624C22semidirect
173. #107×D73C22semidirect
174. #17988612C22semidirect
175. #17988612C22semidirect
176. #17988594C22semidirect
178. #17988587C22semidirect
180. #17988582C22semidirect
182. #103×D73C22semidirect
186. C4×#11924011C22semidirect
187. #97×D73C22semidirect
188. #541×C73C22semidirect
190. #485×C73C22semidirect
191. #485×C73C22semidirect
192. #478×C73C22semidirect
193. #478×C73C22semidirect
194. #461×C73C22semidirect
195. #461×C73C22semidirect
198. #440×C73C22semidirect
199. #440×C73C22semidirect
200. C4×SD16×C73C22semidirect
201. C4×SD16×C73C22semidirect
202. #433×C73C22semidirect
881. #3123D73semidirect
907. C73#60575semidirect
919. #541C2×D73semidirect
961. #485C2×D73semidirect
962. #485C2×D73semidirect
979. #478C2×D73semidirect
980. #478C2×D73semidirect
1003. #461C2×D73semidirect
1004. #461C2×D73semidirect
1043. #440C2×D73semidirect
1044. #440C2×D73semidirect
1049. C4×SD16C2×D73semidirect
1050. C4×SD16C2×D73semidirect
1056. #433C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226233632
#226231352
#226201972
#226201952
#226201822
#226201412
#226201392
#226201212
#226201152
#226200902
#226200882
#226200742
#226200702
#226200452
#226200432
#226200292
#226200252
#226199122
#226198952
#226197832
#226197592
#226194762
#226194382
#226192362
#226192032
C4×#145566202
C4×#145566182
#226187262
#440×D732
#226185792
C73×#31232
#6057573