Finite Group Databasebeta

← #33968861

Subgroups — #33968861

Order 18688.

1890 conjugacy classes of subgroups.

The subgroup lattice has 1758 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623930C211yesmaximal, characteristic, complemented
2#22623879C211yesmaximal, characteristic, complemented
3#22622968C211yesmaximal, characteristic, complemented
4#22622847C211yesmaximal, characteristic, complemented
5#22622624C211yesmaximal, characteristic, complemented
6#22622564C211yesmaximal, characteristic, complemented
7#22622508C211yesmaximal, characteristic, complemented
8#22622429C211yesmaximal, characteristic, complemented
9#22622425C211yesmaximal, characteristic, complemented
10#22621882C211yesmaximal, characteristic, complemented
11#22621876C211yesmaximal, characteristic, complemented
12#22621865C211yesmaximal, characteristic, complemented
13#22621782C211yesmaximal, characteristic, complemented
14#22621740C211yesmaximal, characteristic, complemented
15#22621549C211yesmaximal, characteristic, complemented
16#22621475C211yesmaximal, characteristic, complemented
17#22621467C211yesmaximal, characteristic, complemented
18#22620613C211yesmaximal, characteristic, complemented
19#22620609C211yesmaximal, characteristic, complemented
20#22620505C211yesmaximal, characteristic, complemented
21#22620196C211yesmaximal, characteristic, complemented
22#22620190C211yesmaximal, characteristic, complemented
23#22620176C211yesmaximal, characteristic, complemented
24#22620168C211yesmaximal, characteristic, complemented
25#22620077C211yesmaximal, characteristic, complemented
26#22620075C211yesmaximal, characteristic, complemented
27#22618899C211yesmaximal, characteristic, complemented
28#22618757C211yesmaximal, characteristic, complemented
29#22618756C211yesmaximal, characteristic, complemented
30#22618699C211yesmaximal, characteristic, complemented
31C73×#3297C211yesmaximal, characteristic, complemented
32C2×#14556617C2211yescharacteristic
33C2×#14556615C2211yescharacteristic
34C2×#14556611C2211yescharacteristic
35#17989319C2211yescharacteristic
36#17989314C2211yescharacteristic, complemented
37#17989308C2211yescharacteristic
38#17989302C2211yescharacteristic
39#17989301C2211yescharacteristic
40#17989288—21no—
41#17989286—21no—
42#17989281C2211yescharacteristic, complemented
43#17989263—21no—
44#17989260—21no—
45#17989258C2211yescharacteristic, complemented
46#17989258C2211yescharacteristic, complemented
47#17989255—21no—
48#17989255C2211yescharacteristic
49#17989255C2211yescharacteristic, complemented
50D4×Dic146C2211yescharacteristic
51#17989243—21no—
52#17989238C2211yescharacteristic
53#17989235—21no—
54#17989225C2211yescharacteristic
55#17989224—21no—
56D4×C22⋊D73C2211yescharacteristic
57#17989210C2211yescharacteristic
58#17989206C2211yescharacteristic
59#17989193C2211yescharacteristic, complemented
60#17989190C2211yescharacteristic, complemented
61#17989189—21no—
62#17989187—21no—
63#17989174—21no—
64#17989172—21no—
65#17989134—21no—
66#17989132C2211yescharacteristic
67#17989132C2211yescharacteristic, complemented
68#17989120—21no—
69#17989117C2211yescharacteristic
70#17989114—21no—
71C2×#14556577—21no—
72#17989068C2211yescharacteristic, complemented
73#17989066C2211yescharacteristic, complemented
74#17989062C2211yescharacteristic
75#17989059C2211yescharacteristic
76#41×Dic73C2211yescharacteristic
77#17989055C2211yescharacteristic, complemented
78#17988997C2211yescharacteristic, complemented
79#17988994C2211yescharacteristic, complemented
80#17988991C2211yescharacteristic, complemented
81#17988977C2211yescharacteristic, complemented
82#17988973C2211yescharacteristic, complemented
83#17988962C2211yescharacteristic
84#17988943C2211yescharacteristic, complemented
85#17988934C2211yescharacteristic, complemented
86#17988932C2211yescharacteristic
87#17988932C2211yescharacteristic, complemented
88#17988932C2211yescharacteristic, complemented
89#17988921C2211yescharacteristic, complemented
90#17988914C2211yescharacteristic, complemented
91#17988913C2211yescharacteristic, complemented
92#17988912C2211yescharacteristic, complemented
93#17988912C2211yescharacteristic, complemented
94#17988911C2211yescharacteristic, complemented
95#17988908C2211yescharacteristic, complemented
96#17988908C2211yescharacteristic, complemented
97#17988900C2211yescharacteristic
98#17988899C2211yescharacteristic
99#17988889C2211yescharacteristic, complemented
100#17988885C2211yescharacteristic
101#17988884C2211yescharacteristic, complemented
102#17988883C2211yescharacteristic, complemented
103#17988881C2211yescharacteristic, complemented
104#17988871C2211yescharacteristic, complemented
105#17988870C2211yescharacteristic, complemented
106#17988867C2211yescharacteristic, complemented
107#17988866C2211yescharacteristic, complemented
108#17988866C2211yescharacteristic, complemented
109#17988865C2211yescharacteristic
110#17988839C2211yescharacteristic
111#17988838C2211yescharacteristic
112#17988836C2211yescharacteristic, complemented
113#17988835C2211yescharacteristic, complemented
114#17988823C2211yescharacteristic
115#17988823C2211yescharacteristic, complemented
116#17988822C2211yescharacteristic
117#17988821C2211yescharacteristic, complemented
118#17988821C2211yescharacteristic, complemented
119#17988819C2211yescharacteristic, complemented
120#17988812C2211yescharacteristic, complemented
121#17988806C2211yescharacteristic, complemented
122#17988805C2211yescharacteristic, complemented
123#17988786C2211yescharacteristic
124#17988785C2211yescharacteristic, complemented
125#17988783C2211yescharacteristic, complemented
126#17988782C2211yescharacteristic
127#17988781C2211yescharacteristic
128#17988780C2211yescharacteristic
129#17988780C2211yescharacteristic
130#17988780C2211yescharacteristic, complemented
131#17988747C2211yescharacteristic, complemented
132#17988746C2211yescharacteristic, complemented
133#17988734C2211yescharacteristic
134#17988734C2211yescharacteristic, complemented
135#17988732C2211yescharacteristic
136#17988730C2211yescharacteristic, complemented
137#17988729C2211yescharacteristic
138#17988722C2211yescharacteristic
139#17988722C2211yescharacteristic
140#17988721C2211yescharacteristic
141#17988716C2211yescharacteristic, complemented
142C8×Dic146C2211yescharacteristic, complemented
143#17988699C2211yescharacteristic
144#17988698C2211yescharacteristic, complemented
145#17988697C2211yescharacteristic, complemented
146#17988696C2211yescharacteristic
147#17988696C2211yescharacteristic, complemented
148#17988696C2211yescharacteristic, complemented
149#17988690C2211yescharacteristic, complemented
150#17988688C2211yescharacteristic, complemented
151#17988687C2211yescharacteristic
152#17988686C2211yescharacteristic, complemented
153#17988684C2211yescharacteristic
154#17988684C2211yescharacteristic, complemented
155#17988679C2211yescharacteristic, complemented
156#17988679C2211yescharacteristic, complemented
157#17988678C2211yescharacteristic
158#17988678C2211yescharacteristic
159#17988678C2211yescharacteristic, complemented
160C4×#11924017C2211yescharacteristic, complemented
161#17988672C2211yescharacteristic, complemented
162#17988672C2211yescharacteristic, complemented
163D8×Dic73C2211yescharacteristic, complemented
164#17988669C2211yescharacteristic, complemented
165#17988667C2211yescharacteristic
166#17988667C2211yescharacteristic
167#17988667C2211yescharacteristic
168#17988667C2211yescharacteristic, complemented
169#17988667C2211yescharacteristic, complemented
170#17988662C2211yescharacteristic
171#17988659C2211yescharacteristic, complemented
172#17988655C2211yescharacteristic, complemented
173C8×C22⋊D73C2211yescharacteristic
174C8×C22⋊D73C2211yescharacteristic, complemented
175#17988647C2211yescharacteristic, complemented
176#17988645C2211yescharacteristic, complemented
177#17988641C2211yescharacteristic, complemented
178#17988628C2211yescharacteristic, complemented
179#17988627C2211yescharacteristic, complemented
180#17988623C2211yescharacteristic, complemented
181#17988584C2211yescharacteristic, complemented
182#17988584C2211yescharacteristic, complemented
183#17988580C2211yescharacteristic, complemented
184#102×D73C2211yescharacteristic
185#17988542C2211yescharacteristic, complemented
186#17988541C2211yescharacteristic, complemented
187C2×C8×Dic73C2211yescharacteristic, complemented
188#553×C73C2211yescharacteristic, complemented
189#546×C73C2211yescharacteristic
190#488×C73C2211yescharacteristic, complemented
191#484×C73C2211yescharacteristic, complemented
192#482×C73C2211yescharacteristic, complemented
193#478×C73C2211yescharacteristic
194#466×C73C2211yescharacteristic, complemented
195#465×C73C2211yescharacteristic, complemented
196#463×C73C2211yescharacteristic, complemented
197#449×C73C2211yescharacteristic
198#447×C73C2211yescharacteristic
199C4×D8×C73C2211yescharacteristic
200C8×D4×C73C2211yescharacteristic, complemented
201#416×C73C2211yescharacteristic
202C2×#102×C73C2211yescharacteristic
203C2×#11924028—21no—
204C2×#11924028—21no—
205C2×#11924028C2311yescharacteristic
206C2×#11924028C2311yescharacteristic
207C2×#11924027—21no—
208C2×#11924027—21no—
209C2×#11924027C2311yescharacteristic
210C22×Dic146—21no—
211C22×C22⋊D73—21no—
212C2×D4×D73C2311yescharacteristic
213#14556617—24no—
214#14556615—24no—
215#14556611—24no—
216C2×#11924018C2311yescharacteristic
217C2×#11924017C2311yescharacteristic
218C2×#11924016C2311yescharacteristic
219C2×#11924016C2311yescharacteristic
220C2×#11924015C2311yescharacteristic
221C2×#11924015C2311yescharacteristic
222C2×D584C2311yescharacteristic
223C2×D584C2311yescharacteristic
224C2×#11924013C2311yescharacteristic
225C2×#11924013C2311yescharacteristic
226C2×#11924013C2311yescharacteristic
227C2×#11924013C2311yescharacteristic
228C2×#11924013C2311yescharacteristic
229C2×#11924012C2311yescharacteristic
230C2×#11924011C2311yescharacteristic
231C22×#10596831C2311yescharacteristic
232C2×C8×D73C2311yescharacteristic
233#14556591C2311yescharacteristic
234#14556590—21no—
235#14556590C2311yescharacteristic
236#14556590C2311yescharacteristic
237#14556590C2311yescharacteristic
238#14556588C2311yescharacteristic
239#14556587—21no—
240#14556587—21no—
241#14556587—21no—
242#14556587C2311yescharacteristic
243#14556587C2311yescharacteristic
244#14556587C2311yescharacteristic
245#14556586—21no—
246#14556586—21no—
247#14556586D411yescharacteristic
248#14556585—21no—
249#14556584—21no—
250#14556584—21no—
251#14556584D411yescharacteristic
252#14556582C2311yescharacteristic
253#14556581—21no—
254#14556581—21no—
255#14556581D411yescharacteristic
256#14556580C2311yescharacteristic
257#14556578—21no—
258#14556577—21no—
259#14556577—21no—
260#14556577—21no—
261#14556577—21no—
262#14556577—21no—
263#14556577—21no—
264#14556577—21no—
265#14556577—21no—
266#14556577—21no—
267#14556577D411yescharacteristic
268#14556576—21no—
269#14556576—21no—
270#14556576—21no—
271#14556575—21no—
272#14556575—21no—
273#14556575—21no—
274#14556575D411yescharacteristic
275#14556574—21no—
276#14556574—21no—
277#14556573—21no—
278#14556573—21no—
279#14556573—21no—
280#14556573—21no—
281#14556572D411yescharacteristic
282#14556571—21no—
283#14556570—21no—
284#14556569—21no—
285#14556568—21no—
286#14556568—21no—
287#14556568—21no—
288#14556568D411yescharacteristic
289#14556567C2311yescharacteristic
290#14556566—21no—
291#14556566—21no—
292#14556566C2311yescharacteristic
293#14556566C2311yescharacteristic
294#14556565—21no—
295#14556565C2311yescharacteristic
296#14556565C2311yescharacteristic
297#14556565C2311yescharacteristic
298#14556565C2311yescharacteristic
299#14556564—21no—
300#14556564—21no—
301#14556564—21no—
302#14556564—21no—
303#14556564—21no—
304#14556564—21no—
305#14556564—21no—
306#14556563—21no—
307#14556563—21no—
308#14556563—21no—
309#14556563—21no—
310#14556563—21no—
311#14556563—21no—
312#14556563—21no—
313#14556563—21no—
314#14556563D411yescharacteristic
315#14556562—21no—
316#14556562—21no—
317#14556562C2311yescharacteristic
318#14556560—21no—
319#14556559—21no—
320#14556559—21no—
321Q8×Dic73C2311yescharacteristic
322Q8×Dic73C2311yescharacteristic
323C4×Dic146C2311yescharacteristic
324C4×Dic146C2311yescharacteristic
325#14556556—21no—
326#14556556—21no—
327#14556556C2311yescharacteristic
328#14556556C2311yescharacteristic
329#14556556C2311yescharacteristic
330C4×D292—21no—
331C4×D292C2311yescharacteristic
332D4×Dic73—21no—
333D4×Dic73—21no—
334D4×Dic73—21no—
335D4×Dic73—21no—
336D4×Dic73C2311yescharacteristic
337D4×Dic73C2311yescharacteristic
338D4×Dic73C2311yescharacteristic
339D4×Dic73C2311yescharacteristic
340D4×Dic73C2311yescharacteristic
341D4×Dic73C2311yescharacteristic
342#14556553—21no—
343#14556553C2311yescharacteristic
344#14556553C2311yescharacteristic
345#14556553C2311yescharacteristic
346#14556553C2311yescharacteristic
347#14556553C2311yescharacteristic
348C4×C22⋊D73—21no—
349C4×C22⋊D73—21no—
350C4×C22⋊D73—21no—
351C4×C22⋊D73—21no—
352C4×C22⋊D73C2311yescharacteristic
353C4×C22⋊D73C2311yescharacteristic
354#14556551—21no—
355#14556551—21no—
356#14556551—21no—
357#14556551—21no—
358#14556551—21no—
359#14556551—21no—
360#14556551—21no—
361#14556551—21no—
362#14556551—21no—
363#14556550—21no—
364#14556550C2311yescharacteristic
365#14556550C2311yescharacteristic
366#14556550C2311yescharacteristic
367#14556549—21no—
368#14556549—21no—
369#14556549C2311yescharacteristic
370#14556548—21no—
371#14556548C2311yescharacteristic
372#14556547—21no—
373#14556547—21no—
374C2×#11924007—21no—
375C4⋊C4×D73—21no—
376C4⋊C4×D73C2311yescharacteristic
377C2×C22⋊Dic73—21no—
378C2×C22⋊Dic73—21no—
379C2×#11924005—21no—
380C2×#11924005—21no—
381C22⋊C4×D73—21no—
382C2×C4×Dic73—21no—
383C2×C4×Dic73C2311yescharacteristic
384C42×D73—21no—
385#14556525C2311yescharacteristic
386#14556525C2311yescharacteristic
387#14556524C2311yescharacteristic
388#14556524C2311yescharacteristic
389#14556524C2311yescharacteristic
390#14556524C2311yescharacteristic
391#14556524C2311yescharacteristic
392#14556524C2311yescharacteristic
393#14556523C2311yescharacteristic
394#14556522C2311yescharacteristic
395#14556522C2311yescharacteristic
396#14556522C2311yescharacteristic
397#14556522C2311yescharacteristic
398C4⋊#10596831C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556520C2311yescharacteristic
403#14556516C2311yescharacteristic
404#14556516C2311yescharacteristic
405#14556516C2311yescharacteristic
406#14556515C2311yescharacteristic
407#14556514C2311yescharacteristic
408#14556513C2311yescharacteristic
409#14556513C2311yescharacteristic
410#14556513C2311yescharacteristic
411#14556513C2311yescharacteristic
412#14556513C2311yescharacteristic
413#14556513C2311yescharacteristic
414#14556513C2311yescharacteristic
415#14556512C2311yescharacteristic
416#14556512C2311yescharacteristic
417#14556512C2311yescharacteristic
418#14556512C2311yescharacteristic
419#14556512C2311yescharacteristic
420#14556511C2311yescharacteristic
421#14556511C2311yescharacteristic
422#14556511C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425C22⋊#10596831C2311yescharacteristic
426C22⋊#10596831C2311yescharacteristic
427#14556503C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556502C2311yescharacteristic
430#14556501C2311yescharacteristic
431#14556501C2311yescharacteristic
432#14556501C2311yescharacteristic
433C8×Dic73C2311yescharacteristic
434C8×Dic73C2311yescharacteristic
435C8×Dic73C2311yescharacteristic
436C8×Dic73C2311yescharacteristic
437C8×Dic73C2311yescharacteristic
438C2×#41×C73C2311yescharacteristic
439C22×D4×C73C2311yescharacteristic
440C2×SD16×C73C2311yescharacteristic
441C2×D8×C73C2311yescharacteristic
442C2×D8×C73C2311yescharacteristic
443C22×C8×C73C2311yescharacteristic
444C22×C8×C73C2311yescharacteristic
445#126×C73—21no—
446#125×C73C2311yescharacteristic
447#124×C73C2311yescharacteristic
448#123×C73—21no—
449#123×C73—21no—
450C22⋊Q8×C73C2311yescharacteristic
451#121×C73—21no—
452#121×C73—21no—
453#121×C73C2311yescharacteristic
454#121×C73C2311yescharacteristic
455#121×C73C2311yescharacteristic
456#120×C73—21no—
457C4×D4×C73—21no—
458C4×D4×C73C2311yescharacteristic
459C4×D4×C73C2311yescharacteristic
460C4×D4×C73C2311yescharacteristic
461#117×C73C2311yescharacteristic
462C2×C4⋊C4×C73C2311yescharacteristic
463C2×C22⋊C4×C73—21no—
464#107×C73C2311yescharacteristic
465#107×C73C2311yescharacteristic
466#106×C73C2311yescharacteristic
467C4⋊C8×C73C2311yescharacteristic
468#103×C73C2311yescharacteristic
469#103×C73C2311yescharacteristic
470#103×C73C2311yescharacteristic
471#102×C73C2311yescharacteristic
472#102×C73C2311yescharacteristic
473#102×C73C2311yescharacteristic
474#102×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478C22⋊C8×C73C2311yescharacteristic
479C22⋊C8×C73C2311yescharacteristic
480C4×C8×C73C2311yescharacteristic
481C23×D73—21no—
482#11924028—22no—
483#11924028—22no—
484#11924028—41no—
485#11924028—41no—
486#11924028—82no—
487#11924028—82no—
488#11924027—22no—
489#11924027—41no—
490#11924027—82no—
491#11924027—82no—
492C2×Dic146—21no—
493C2×Dic146—21no—
494C2×Dic146—21no—
495C2×Dic146—21no—
496C2×Dic146—82no—
497C2×Dic146C2×D411yescharacteristic
498C2×Dic146C2411yescharacteristic
499C2×D292—21no—
500C2×D292—21no—
501C2×D292—21no—
502C2×D292—21no—
503C2×D292C2411yescharacteristic
504C2×D292C2411yescharacteristic
505C2×D292C2411yescharacteristic
506C2×C22⋊D73—21no—
507C2×C22⋊D73—21no—
508C2×C22⋊D73—21no—
509C2×C22⋊D73—21no—
510C2×C22⋊D73—21no—
511C2×C22⋊D73—21no—
512C2×C22⋊D73—21no—
513C2×C22⋊D73—21no—
514C2×C22⋊D73—21no—
515C2×C22⋊D73—21no—
516C2×C22⋊D73—21no—
517C2×C22⋊D73—21no—
518C2×C22⋊D73—21no—
519C2×C22⋊D73—21no—
520C2×C22⋊D73—21no—
521C2×C22⋊D73—82no—
522C2×C22⋊D73C2×D411yescharacteristic
523C2×C22⋊D73C2×D411yescharacteristic
524D4×D73—22no—
525D4×D73—41no—
526C22×Dic73—21no—
527C22×Dic73—21no—
528C22×Dic73—21no—
529C22×Dic73—21no—
530C22×Dic73—21no—
531C22×Dic73—21no—
532C22×Dic73—21no—
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×D73C2411yescharacteristic
545#11924018—22no—
546#11924017—22no—
547#11924016—22no—
548#11924016#4114yescomplemented
549#11924015—22no—
550#11924015—41no—
551D584—41no—
552D584—41no—
553#11924013—22no—
554#11924013—22no—
555#11924013—22no—
556#11924013—22no—
557#11924013—41no—
558#11924012—22no—
559#11924011—22no—
560C2×#10596831—22no—
561C2×#10596831C2411yescharacteristic
562C2×#10596831C2411yescharacteristic
563C2×#10596831C2411yescharacteristic
564C2×#10596831C2411yescharacteristic
565C8×D73—41no—
566C4⋊Dic73—21no—
567C4⋊Dic73—21no—
568C4⋊Dic73—21no—
569C4⋊Dic73—21no—
570C4⋊Dic73C2×D411yescharacteristic
571C4⋊Dic73C2×D411yescharacteristic
572C4⋊Dic73C2×D411yescharacteristic
573C4⋊Dic73C2411yescharacteristic
574C4⋊Dic73C2411yescharacteristic
575C4⋊Dic73C2411yescharacteristic
576C4⋊Dic73C2411yescharacteristic
577#11924007—21no—
578#11924007—21no—
579#11924007—21no—
580#11924007—21no—
581#11924007—21no—
582#11924007—21no—
583#11924007—21no—
584#11924007—21no—
585#11924007—21no—
586#11924007—21no—
587#11924007C2×D411yescharacteristic
588#11924007C2×D411yescharacteristic
589#11924007C2×D411yescharacteristic
590#11924007C2×D411yescharacteristic
591#11924007C2×D411yescharacteristic
592#11924007C2×D411yescharacteristic
593C22⋊Dic73—21no—
594C22⋊Dic73—21no—
595C22⋊Dic73—21no—
596C22⋊Dic73—21no—
597C22⋊Dic73—21no—
598C22⋊Dic73—21no—
599C22⋊Dic73—21no—
600C22⋊Dic73—21no—
601C22⋊Dic73—21no—
602C22⋊Dic73C2×D411yescharacteristic
603C22⋊Dic73C2×D411yescharacteristic
604C22⋊Dic73C2×D411yescharacteristic
605C22⋊Dic73C2×D411yescharacteristic
606#11924005—21no—
607#11924005—21no—
608#11924005—21no—
609#11924005—21no—
610#11924005—21no—
611#11924005—21no—
612#11924005—21no—
613#11924005—21no—
614#11924005—21no—
615#11924005—21no—
616#11924005—21no—
617#11924005—21no—
618#11924005—21no—
619#11924005—21no—
620#11924005—21no—
621#11924005—21no—
622#11924005C2×D411yescharacteristic
623#11924005C2×D411yescharacteristic
624#11924005C2×D411yescharacteristic
625#11924005C2×D411yescharacteristic
626C4×Dic73—21no—
627C4×Dic73—21no—
628C4×Dic73—21no—
629C4×Dic73—21no—
630C4×Dic73—21no—
631C4×Dic73—21no—
632C4×Dic73—21no—
633C4×Dic73—21no—
634C4×Dic73—21no—
635C4×Dic73C2×D411yescharacteristic
636C4×Dic73C2×D411yescharacteristic
637C4×Dic73C2411yescharacteristic
638C4×Dic73C2411yescharacteristic
639C4×Dic73C2411yescharacteristic
640C24×C73—21no—
641#41×C73—22no—
642#41×C73—41no—
643C2×Q8×C73C2411yescharacteristic
644C2×D4×C73—22no—
645C2×D4×C73—21no—
646C2×D4×C73—21no—
647C2×D4×C73—21no—
648C2×D4×C73—21no—
649C2×D4×C73—21no—
650C2×D4×C73—41no—
651C2×D4×C73C2×D411yescharacteristic
652C2×D4×C73C2411yescharacteristic
653C2×D4×C73C2411yescharacteristic
654C2×D4×C73C2411yescharacteristic
655C22×C4×C73—21no—
656C22×C4×C73—21no—
657C22×C4×C73—21no—
658C22×C4×C73—21no—
659C22×C4×C73C2411yescharacteristic
660C22×C4×C73C2411yescharacteristic
661SD16×C73—41no—
662D8×C73—22no—
663D8×C73—41no—
664C2×C8×C73—41no—
665C2×C8×C73—41no—
666C2×C8×C73C2411yescharacteristic
667C2×C8×C73C2411yescharacteristic
668C2×C8×C73C2411yescharacteristic
669C2×C8×C73C2411yescharacteristic
670C4⋊C4×C73—21no—
671C4⋊C4×C73—21no—
672C4⋊C4×C73—21no—
673C4⋊C4×C73—21no—
674C4⋊C4×C73C2×D411yescharacteristic
675C4⋊C4×C73C2411yescharacteristic
676C4⋊C4×C73C2411yescharacteristic
677C4⋊C4×C73C2411yescharacteristic
678C4⋊C4×C73C2411yescharacteristic
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—
686C22⋊C4×C73—21no—
687C22⋊C4×C73—21no—
688C22⋊C4×C73C2×D411yescharacteristic
689C22⋊C4×C73C2×D411yescharacteristic
690C42×C73—21no—
691C42×C73C2411yescharacteristic
692C23×C73—21no—
693C23×C73—21no—
694C23×C73—21no—
695C23×C73—42no—
696C23×C73—81no—
697C23×C73—81no—
698C23×C73C22×D411yescharacteristic
699C23×C73C22×D411yescharacteristic
700C22×D73—21no—
701C22×D73—21no—
702C22×D73—21no—
703C22×D73—42no—
704C22×D73—81no—
705C22×D73—81no—
706C22×D73C22×D411yescharacteristic
707Q8×C73—21no—
708Q8×C73—21no—
709D4×C73—21no—
710D4×C73—21no—
711D4×C73—21no—
712D4×C73—21no—
713D4×C73—21no—
714D4×C73—41no—
715D4×C73—42no—
716D4×C73—42no—
717D4×C73—81no—
718D4×C73—81no—
719D4×C73—81no—
720D4×C73C2×#4112yes—
721C2×C4×C73—21no—
722C2×C4×C73—21no—
723C2×C4×C73—21no—
724C2×C4×C73—21no—
725C2×C4×C73—21no—
726C2×C4×C73—21no—
727C2×C4×C73—21no—
728C2×C4×C73—21no—
729C2×C4×C73—21no—
730C2×C4×C73—42no—
731C2×C4×C73—81no—
732C2×C4×C73—81no—
733C2×C4×C73—81no—
734C2×C4×C73C22×D411yescharacteristic
735C2×C4×C73C22×D411yescharacteristic
736C2×C4×C73C22×D411yescharacteristic
737C2×C4×C73C22×D411yescharacteristic
738C2×C4×C73C2511yescharacteristic
739C22⋊D73—22no—
740C22⋊D73—41no—
741C22⋊D73—42no—
742C22⋊D73—42no—
743C22⋊D73—42no—
744C22⋊D73—42no—
745C22⋊D73—42no—
746C22⋊D73—42no—
747C22⋊D73—81no—
748C22⋊D73—81no—
749C22⋊D73—81no—
750C22⋊D73—81no—
751C22⋊D73—81no—
752C22⋊D73—81no—
753C22⋊D73—81no—
754C22⋊D73—81no—
755C22⋊D73—81no—
756C2×Dic73—21no—
757C2×Dic73—22no—
758C2×Dic73—21no—
759C2×Dic73—21no—
760C2×Dic73—21no—
761C2×Dic73—21no—
762C2×Dic73—41no—
763C2×Dic73—42no—
764C2×Dic73—42no—
765C2×Dic73—81no—
766C2×Dic73—81no—
767C2×Dic73—81no—
768C2×Dic73—81no—
769C2×Dic73—81no—
770C2×Dic73C22×D411yescharacteristic
771C2×Dic73C22×D411yescharacteristic
772C2×Dic73C22×D411yescharacteristic
773C2×Dic73C22×D411yescharacteristic
774C2×Dic73C22×D411yescharacteristic
775C2×Dic73C22×D411yescharacteristic
776C2×Dic73C22×D411yescharacteristic
777D292—21no—
778D292—21no—
779D292—21no—
780D292—21no—
781D292—21no—
782D292—21no—
783D292—81no—
784D292—81no—
785D292—81no—
786D292—81no—
787C4×D73—21no—
788C4×D73—21no—
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—21no—
799Dic146—22no—
800Dic146—42no—
801Dic146—42no—
802Dic146—81no—
803Dic146—81no—
804Dic146C2×#4112yes—
805C8×C73—21no—
806C8×C73—21no—
807C8×C73—21no—
808C8×C73—21no—
809#10596831—21no—
810#10596831—21no—
811#10596831—21no—
812#10596831C2×#4112yes—
813C22×C73—21no—
814C22×C73—21no—
815C22×C73—21no—
816C22×C73—21no—
817C22×C73—22no—
818C22×C73—21no—
819C22×C73—21no—
820C22×C73—41no—
821C22×C73—41no—
822C22×C73—41no—
823C22×C73—41no—
824C22×C73—41no—
825C22×C73—41no—
826C22×C73—41no—
827C22×C73—41no—
828C22×C73—162no—
829C22×C73C23×D411yescharacteristic
830C2×D73—21no—
831C2×D73—21no—
832C2×D73—21no—
833C2×D73—41no—
834C2×D73—41no—
835C2×D73—41no—
836C2×D73—41no—
837C2×D73—41no—
838C2×D73—41no—
839C2×D73—41no—
840C2×D73—41no—
841C2×D73—41no—
842C2×D73—162no—
843C4×C73—21no—
844C4×C73—21no—
845C4×C73—21no—
846C4×C73—21no—
847C4×C73—41no—
848C4×C73—41no—
849C4×C73—41no—
850C4×C73—41no—
851C4×C73—41no—
852C4×C73C22×#4111yescharacteristic
853C4×C73#58511yescharacteristic
854Dic73—21no—
855Dic73—21no—
856Dic73—21no—
857Dic73—22no—
858Dic73—21no—
859Dic73—21no—
860Dic73—21no—
861Dic73—41no—
862Dic73—41no—
863Dic73—41no—
864Dic73—41no—
865Dic73#57612yes—
866#61494—731nomaximal, Sylow
867C2×C73—42no—
868C2×C73—41no—
869C2×C73—41no—
870C2×C73—81no—
871C2×C73—81no—
872C2×C73D4×#4111yescharacteristic
873C2×C73C2×#57611yescharacteristic
874C2×C73#358411yescharacteristic
875D73—41no—
876D73—81no—
877D73—81no—
878D73—81no—
879#3517—731no—
880#3514—731no—
881#3399—731no—
882#3386—731no—
883#3365—731no—
884#3358—731no—
885#3353—731no—
886#3347—731no—
887#3347—731no—
888#3305—731no—
889#3305—731no—
890#3304—731no—
891#3297—731no—
892#3297D7311yescharacteristic, complemented
893#3294—731no—
894#3274—731no—
895#3268—731no—
896#3268—731no—
897#3179—731no—
898#3179—731no—
899#3169—731no—
900#3124—731no—
901#3124—731no—
902#3122—731no—
903#3122—731no—
904#3115—731no—
905#3115—731no—
906#2966—731no—
907#2946—731no—
908#2946—731no—
909C4×#135—731no—
910C73#6149411yescharacteristic, complemented, Sylow
911C2×AGL(1,ℤ/8)—731no—
912C2×AGL(1,ℤ/8)—731no—
913C2×#135—731no—
914#559—731no—
915#557—731no—
916#556—731no—
917#555—731no—
918#555—731no—
919#553—731no—
920#553—1461no—
921#553—1461no—
922#553C2×D7311yescharacteristic, complemented
923#551—1461no—
924#551—1461no—
925#550—731no—
926#550—731no—
927#550—731no—
928#550—731no—
929#550—1461no—
930D4×Q8—731no—
931#548—1461no—
932#547—731no—
933#547—1461no—
934#546—731no—
935#546—1461no—
936#546C2×D7311yescharacteristic
937D42—731no—
938#542—731no—
939#542—731no—
940#540—731no—
941#540—731no—
942#540—1461no—
943#540—1461no—
944#538—1461no—
945#538—1461no—
946#532—731no—
947#532—731no—
948#532—1461no—
949#529—731no—
950#529—1461no—
951#529—1461no—
952C2×#124—1461no—
953#520—731no—
954#520—731no—
955#518—731no—
956#518—731no—
957C4×#41—731no—
958C4×#41—731no—
959#501—731no—
960#501—731no—
961#500—731no—
962#496—731no—
963#496—731no—
964#493—731no—
965#488—731no—
966#488C2×D7311yescharacteristic, complemented
967#486—731no—
968#486—731no—
969#486—731no—
970#486—731no—
971#484—731no—
972#484C2×D7311yescharacteristic, complemented
973#482—731no—
974#482—731no—
975#482—731no—
976#482—731no—
977#482—731no—
978#482—731no—
979#482—731no—
980#482C2×D7311yescharacteristic, complemented
981#480—731no—
982#480—731no—
983#478—731no—
984#478—731no—
985#478—731no—
986#478C2×D7311yescharacteristic
987#477—731no—
988#477—731no—
989#475—731no—
990#475—731no—
991#474—731no—
992#474—731no—
993#474—731no—
994#474—731no—
995#469—731no—
996#469—731no—
997#468—731no—
998#468—731no—
999#466—731no—
1000#466—731no—
1001#466—731no—
1002#466—731no—
1003#466—731no—
1004#466C2×D7311yescharacteristic, complemented
1005#465—731no—
1006#465C2×D7311yescharacteristic, complemented
1007#464—731no—
1008#464—731no—
1009#463—731no—
1010#463C2×D7311yescharacteristic, complemented
1011#460—731no—
1012#460—731no—
1013#459—731no—
1014#459—731no—
1015#459—731no—
1016#459—731no—
1017#459—731no—
1018#459—731no—
1019#452—731no—
1020#452—731no—
1021#449—731no—
1022#449—731no—
1023#449—731no—
1024#449—731no—
1025#449—731no—
1026#449C2×D7311yescharacteristic
1027#447—731no—
1028#447—731no—
1029#447—731no—
1030#447C2×D7311yescharacteristic
1031#446—731no—
1032C8×Q8—731no—
1033#442—731no—
1034#442—731no—
1035#442—731no—
1036#442—731no—
1037#442—731no—
1038#442—731no—
1039#440—731no—
1040#440—731no—
1041#440—731no—
1042#440—731no—
1043#440—731no—
1044#440—731no—
1045C4×Q16—731no—
1046C4×Q16—731no—
1047C4×SD16—731no—
1048C4×SD16—731no—
1049C4×SD16—731no—
1050C4×SD16—731no—
1051C4×SD16—731no—
1052C4×SD16—731no—
1053C4×D8—731no—
1054C4×D8—731no—
1055C4×D8—731no—
1056C4×D8—731no—
1057C4×D8—731no—
1058C4×D8—731no—
1059C4×D8—731no—
1060C4×D8C2×D7311yescharacteristic
1061#436—731no—
1062#435—731no—
1063#435—731no—
1064C8×D4—731no—
1065C8×D4—731no—
1066C8×D4C2×D7311yescharacteristic, complemented
1067#433—731no—
1068#433—731no—
1069#432—731no—
1070#428—731no—
1071#428—731no—
1072#427—731no—
1073#416—731no—
1074#416—731no—
1075#416—731no—
1076#416C2×D7311yescharacteristic
1077C2×#102—731no—
1078C2×#102C2×D7311yescharacteristic
1079#405—731no—
1080#405—731no—
1081C2×C4×C8—731no—
1082C2×#41—731no—
1083C2×#41—731no—
1084C2×#41—731no—
1085C2×#41—1461no—
1086C2×#41—1461no—
1087C2×#41—1461no—
1088C2×#41—1461no—
1089C2×#41C22×D7311yescharacteristic
1090C22×Q8—1461no—
1091C22×D4—731no—
1092C22×D4—1461no—
1093C22×D4C22×D7311yescharacteristic
1094AGL(1,ℤ/8)—1464no—
1095AGL(1,ℤ/8)—1464no—
1096#135—1464no—
1097C2×Q16—731no—
1098C2×SD16—731no—
1099C2×SD16—731no—
1100C2×SD16—731no—
1101C2×SD16—731no—
1102C2×SD16—731no—
1103C2×SD16C22×D7311yescharacteristic
1104C2×D8—731no—
1105C2×D8—731no—
1106C2×D8—731no—
1107C2×D8—731no—
1108C2×D8—731no—
1109C2×D8—731no—
1110C2×D8—731no—
1111C2×D8C22×D7311yescharacteristic
1112C2×D8C22×D7311yescharacteristic
1113C2×M16—731no—
1114C2×M16—731no—
1115C22×C8—731no—
1116C22×C8—731no—
1117C22×C8C22×D7311yescharacteristic
1118C22×C8C22×D7311yescharacteristic
1119C4⋊Q8—731no—
1120C4⋊Q8—731no—
1121C4⋊Q8—731no—
1122C4⋊Q8—731no—
1123C4⋊Q8—1461no—
1124#127—731no—
1125#127—731no—
1126#127—731no—
1127#127—731no—
1128#127—1461no—
1129#127—1461no—
1130#127—1461no—
1131#126—21no—
1132#126—731no—
1133#126—731no—
1134#126—1461no—
1135#126—1461no—
1136#126—1461no—
1137#126—1461no—
1138#126—1461no—
1139#125—731no—
1140#125—731no—
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#124—1461no—
1150#124—1461no—
1151#124—1461no—
1152#124—1461no—
1153#124—1461no—
1154#124—1461no—
1155#124—1461no—
1156#124C22×D7311yescharacteristic
1157#123—21no—
1158#123—21no—
1159#123—731no—
1160#123—731no—
1161#123—1461no—
1162#123—1461no—
1163#123—1461no—
1164#123—1461no—
1165#123—1461no—
1166#123—1461no—
1167#123—1461no—
1168#123—1461no—
1169#123—1461no—
1170#123—1461no—
1171#123—1461no—
1172#123—1461no—
1173C22⋊Q8—731no—
1174C22⋊Q8—731no—
1175C22⋊Q8—1461no—
1176C22⋊Q8—1461no—
1177C22⋊Q8—1461no—
1178C22⋊Q8—1461no—
1179C22⋊Q8—1461no—
1180C22⋊Q8—1461no—
1181C22⋊Q8C22×D7311yescharacteristic
1182#121—21no—
1183#121—21no—
1184#121—731no—
1185#121—731no—
1186#121—731no—
1187#121—731no—
1188#121—731no—
1189#121—731no—
1190#121—731no—
1191#121—731no—
1192#121—1461no—
1193#121—1461no—
1194#121—1461no—
1195#121—1461no—
1196#121—1461no—
1197#121—1461no—
1198#121—1461no—
1199#121—1461no—
1200#121—1461no—
1201#121—1461no—
1202#121—1461no—
1203#121—1461no—
1204#121—1461no—
1205#121—1461no—
1206#121—1461no—
1207#121—1461no—
1208#121—1461no—
1209#121—1461no—
1210#121—1461no—
1211#121—1461no—
1212#121C22×D7311yescharacteristic
1213#121C22×D7311yescharacteristic
1214#121C22×D7311yescharacteristic
1215#120—21no—
1216#120—1461no—
1217#120—1461no—
1218#120—1461no—
1219C4×Q8—731no—
1220C4×Q8—731no—
1221C4×Q8—731no—
1222C4×Q8—731no—
1223C4×Q8—731no—
1224C4×Q8—731no—
1225C4×Q8—731no—
1226C4×Q8—1461no—
1227C4×Q8—1461no—
1228C4×D4—21no—
1229C4×D4—731no—
1230C4×D4—731no—
1231C4×D4—731no—
1232C4×D4—731no—
1233C4×D4—731no—
1234C4×D4—731no—
1235C4×D4—731no—
1236C4×D4—731no—
1237C4×D4—731no—
1238C4×D4—731no—
1239C4×D4—731no—
1240C4×D4—731no—
1241C4×D4—731no—
1242C4×D4—731no—
1243C4×D4—1461no—
1244C4×D4—1461no—
1245C4×D4—1461no—
1246C4×D4—1461no—
1247C4×D4—1461no—
1248C4×D4—1461no—
1249C4×D4—1461no—
1250C4×D4—1461no—
1251C4×D4—1461no—
1252C4×D4—1461no—
1253C4×D4—1461no—
1254C4×D4—1461no—
1255C4×D4—1461no—
1256C4×D4—1461no—
1257C4×D4—1461no—
1258C4×D4—1461no—
1259C4×D4—1461no—
1260C4×D4—1461no—
1261C4×D4—1461no—
1262C4×D4C22×D7311yescharacteristic
1263C4×D4C22×D7311yescharacteristic
1264C4×D4C22×D7311yescharacteristic
1265#117—731no—
1266#117—731no—
1267#117—731no—
1268#117—731no—
1269#117—731no—
1270#117—1461no—
1271#117—1461no—
1272#117—1461no—
1273#117—1461no—
1274#117—1461no—
1275#117—1461no—
1276#117C22×D7311yescharacteristic
1277C2×C4⋊C4—731no—
1278C2×C4⋊C4—1461no—
1279C2×C4⋊C4—1461no—
1280C2×C4⋊C4C22×D7311yescharacteristic
1281C2×C22⋊C4—21no—
1282C2×C22⋊C4—1461no—
1283C2×C22⋊C4—1461no—
1284C2×C22⋊C4—1461no—
1285C2×C22⋊C4—1461no—
1286C2×C22⋊C4—1461no—
1287C2×C42—731no—
1288C2×C42—1461no—
1289C2×C42—1461no—
1290#107—731no—
1291#107—731no—
1292#107—731no—
1293#107—731no—
1294#107—731no—
1295#107—731no—
1296#107—731no—
1297#107—731no—
1298#107C22×D7311yescharacteristic
1299#107C22×D7311yescharacteristic
1300#106—731no—
1301#106—731no—
1302#106—731no—
1303#106—731no—
1304#106—731no—
1305#106C22×D7311yescharacteristic
1306C4⋊C8—731no—
1307C4⋊C8—731no—
1308C4⋊C8—731no—
1309C4⋊C8—731no—
1310C4⋊C8—731no—
1311C4⋊C8C22×D7311yescharacteristic
1312#103—731no—
1313#103—731no—
1314#103—731no—
1315#103—731no—
1316#103—731no—
1317#103C22×D7311yescharacteristic
1318#103C22×D7311yescharacteristic
1319#103C22×D7311yescharacteristic
1320#102—731no—
1321#102—731no—
1322#102—731no—
1323#102—731no—
1324#102—731no—
1325#102—731no—
1326#102—731no—
1327#102—731no—
1328#102—731no—
1329#102—731no—
1330#102—731no—
1331#102—731no—
1332#102—731no—
1333#102—731no—
1334#102—731no—
1335#102—731no—
1336#102—731no—
1337#102C22×D7311yescharacteristic
1338#102C22×D7311yescharacteristic
1339#102C22×D7311yescharacteristic
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⋊C8C22×D7311yescharacteristic
1349C22⋊C8C22×D7311yescharacteristic
1350#97—731no—
1351#97—731no—
1352#97—731no—
1353#97—731no—
1354C4×C8—731no—
1355C4×C8—731no—
1356C4×C8—731no—
1357C4×C8—731no—
1358C4×C8—731no—
1359C4×C8C22×D7311yescharacteristic
1360C24—21no—
1361C24—1461no—
1362#41—22no—
1363#41—41no—
1364#41—2921no—
1365#41—2921no—
1366#41—2921no—
1367#41—5842no—
1368#41—5842no—
1369#41—5842no—
1370#41—5842no—
1371#41—1462no—
1372#41—1462no—
1373#41—1462no—
1374C2×Q8—5842no—
1375C2×Q8—731no—
1376C2×Q8—731no—
1377C2×Q8—1461no—
1378C2×Q8—1461no—
1379C2×Q8—1461no—
1380C2×Q8—1461no—
1381C2×Q8C23×D7311yescharacteristic
1382C2×D4—22no—
1383C2×D4—21no—
1384C2×D4—21no—
1385C2×D4—21no—
1386C2×D4—21no—
1387C2×D4—21no—
1388C2×D4—41no—
1389C2×D4—2921no—
1390C2×D4—5842no—
1391C2×D4—731no—
1392C2×D4—731no—
1393C2×D4—731no—
1394C2×D4—731no—
1395C2×D4—731no—
1396C2×D4—1461no—
1397C2×D4—1461no—
1398C2×D4—1461no—
1399C2×D4—1461no—
1400C2×D4—1461no—
1401C2×D4—1461no—
1402C2×D4—1461no—
1403C2×D4—1461no—
1404C2×D4—1461no—
1405C2×D4—1461no—
1406C2×D4—1461no—
1407C2×D4—1461no—
1408C2×D4—1462no—
1409C2×D4—1461no—
1410C2×D4—1461no—
1411C2×D4—1461no—
1412C2×D4—1461no—
1413C2×D4—1461no—
1414C2×D4—1461no—
1415C2×D4—1461no—
1416C2×D4D4×D7311yescharacteristic
1417C2×D4C23×D7311yescharacteristic
1418C2×D4C23×D7311yescharacteristic
1419C2×D4C23×D7311yescharacteristic
1420C22×C4—21no—
1421C22×C4—21no—
1422C22×C4—21no—
1423C22×C4—21no—
1424C22×C4—731no—
1425C22×C4—731no—
1426C22×C4—731no—
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
1444C22×C4C23×D7311yescharacteristic
1445Q16—1462no—
1446SD16—41no—
1447SD16—2921no—
1448SD16—734no—
1449SD16—1462no—
1450SD16—1462no—
1451SD16—1462no—
1452D8—22no—
1453D8—41no—
1454D8—2921no—
1455D8—2921no—
1456D8—2921no—
1457D8—1462no—
1458D8—1462no—
1459D8—1462no—
1460D8—1462no—
1461M16—1462no—
1462M16—1462no—
1463C2×C8—41no—
1464C2×C8—41no—
1465C2×C8—2921no—
1466C2×C8—731no—
1467C2×C8—731no—
1468C2×C8—731no—
1469C2×C8—731no—
1470C2×C8—1462no—
1471C2×C8C23×D7311yescharacteristic
1472C2×C8C23×D7311yescharacteristic
1473C2×C8C23×D7311yescharacteristic
1474C2×C8C23×D7311yescharacteristic
1475C4⋊C4—21no—
1476C4⋊C4—21no—
1477C4⋊C4—21no—
1478C4⋊C4—21no—
1479C4⋊C4—731no—
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—731no—
1489C4⋊C4—731no—
1490C4⋊C4—731no—
1491C4⋊C4—731no—
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⋊C4D4×D7311yescharacteristic
1507C4⋊C4C23×D7311yescharacteristic
1508C4⋊C4C23×D7311yescharacteristic
1509C4⋊C4C23×D7311yescharacteristic
1510C4⋊C4C23×D7311yescharacteristic
1511C22⋊C4—21no—
1512C22⋊C4—21no—
1513C22⋊C4—21no—
1514C22⋊C4—21no—
1515C22⋊C4—21no—
1516C22⋊C4—21no—
1517C22⋊C4—21no—
1518C22⋊C4—21no—
1519C22⋊C4—21no—
1520C22⋊C4—731no—
1521C22⋊C4—731no—
1522C22⋊C4—731no—
1523C22⋊C4—731no—
1524C22⋊C4—731no—
1525C22⋊C4—731no—
1526C22⋊C4—731no—
1527C22⋊C4—731no—
1528C22⋊C4—1461no—
1529C22⋊C4—1461no—
1530C22⋊C4—1461no—
1531C22⋊C4—1461no—
1532C22⋊C4—1461no—
1533C22⋊C4—1461no—
1534C22⋊C4—1461no—
1535C22⋊C4—1461no—
1536C22⋊C4—1461no—
1537C22⋊C4—1461no—
1538C22⋊C4—1461no—
1539C22⋊C4—1461no—
1540C22⋊C4—1461no—
1541C22⋊C4—1461no—
1542C22⋊C4—1461no—
1543C22⋊C4—1461no—
1544C22⋊C4—1461no—
1545C22⋊C4—1461no—
1546C22⋊C4—1461no—
1547C22⋊C4—1461no—
1548C22⋊C4—1461no—
1549C22⋊C4—1461no—
1550C22⋊C4—1461no—
1551C22⋊C4—1461no—
1552C22⋊C4—1461no—
1553C22⋊C4D4×D7311yescharacteristic
1554C22⋊C4D4×D7311yescharacteristic
1555C42—21no—
1556C42—731no—
1557C42—731no—
1558C42—731no—
1559C42—731no—
1560C42—731no—
1561C42—1461no—
1562C42—1461no—
1563C42—1461no—
1564C42—1461no—
1565C42—1461no—
1566C42—1461no—
1567C42—1461no—
1568C42—1461no—
1569C42—1461no—
1570C42C23×D7311yescharacteristic
1571C23—21no—
1572C23—21no—
1573C23—21no—
1574C23—42no—
1575C23—81no—
1576C23—81no—
1577C23—2922no—
1578C23—5841no—
1579C23—5841no—
1580C23—731no—
1581C23—1461no—
1582C23—1461no—
1583C23—1461no—
1584C23C2×D4×D7311yescharacteristic
1585C23C2×D4×D7311yescharacteristic
1586Q8—21no—
1587Q8—21no—
1588Q8—2922no—
1589Q8—2922no—
1590Q8—5841no—
1591Q8—5841no—
1592Q8—732no—
1593Q8—1462no—
1594Q8—1461no—
1595D4—21no—
1596D4—21no—
1597D4—21no—
1598D4—21no—
1599D4—21no—
1600D4—41no—
1601D4—42no—
1602D4—42no—
1603D4—81no—
1604D4—81no—
1605D4—81no—
1606D4—2922no—
1607D4—2922no—
1608D4—2922no—
1609D4—2922no—
1610D4—2922no—
1611D4—2921no—
1612D4—2922no—
1613D4—5841no—
1614D4—5841no—
1615D4—5841no—
1616D4—5841no—
1617D4—5841no—
1618D4—5841no—
1619D4—5841no—
1620D4—5841no—
1621D4—5841no—
1622D4—5841no—
1623D4—5841no—
1624D4—5841no—
1625D4—5841no—
1626D4—1462no—
1627D4—1461no—
1628D4—1461no—
1629D4—1461no—
1630D4—1461no—
1631D4—1461no—
1632D4—1461no—
1633D4#41×D7312yes—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—42no—
1644C2×C4—81no—
1645C2×C4—81no—
1646C2×C4—81no—
1647C2×C4—2922no—
1648C2×C4—2922no—
1649C2×C4—2922no—
1650C2×C4—2922no—
1651C2×C4—2921no—
1652C2×C4—2922no—
1653C2×C4—5841no—
1654C2×C4—5841no—
1655C2×C4—5841no—
1656C2×C4—5841no—
1657C2×C4—5841no—
1658C2×C4—5841no—
1659C2×C4—5841no—
1660C2×C4—5841no—
1661C2×C4—5841no—
1662C2×C4—5841no—
1663C2×C4—5841no—
1664C2×C4—731no—
1665C2×C4—731no—
1666C2×C4—731no—
1667C2×C4—731no—
1668C2×C4—731no—
1669C2×C4—731no—
1670C2×C4—731no—
1671C2×C4—1461no—
1672C2×C4—1461no—
1673C2×C4—1461no—
1674C2×C4—1461no—
1675C2×C4—1462no—
1676C2×C4—1461no—
1677C2×C4—1461no—
1678C2×C4—1461no—
1679C2×C4C2×D4×D7311yescharacteristic
1680C2×C4C2×D4×D7311yescharacteristic
1681C2×C4C2×D4×D7311yescharacteristic
1682C2×C4C2×D4×D7311yescharacteristic
1683C2×C4C24×D7311yescharacteristic
1684C8—21no—
1685C8—21no—
1686C8—21no—
1687C8—21no—
1688C8—732no—
1689C8—1461no—
1690C8—1461no—
1691C8—1461no—
1692C22—21no—
1693C22—21no—
1694C22—21no—
1695C22—21no—
1696C22—22no—
1697C22—21no—
1698C22—21no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—162no—
1708C22—2921no—
1709C22—2921no—
1710C22—2921no—
1711C22—2921no—
1712C22—2921no—
1713C22—2921no—
1714C22—2921no—
1715C22—2921no—
1716C22—2921no—
1717C22—11682no—
1718C22—1461no—
1719C22—1461no—
1720C22—1461no—
1721C22C22×D4×D7311yescharacteristic
1722C4—21no—
1723C4—21no—
1724C4—21no—
1725C4—21no—
1726C4—41no—
1727C4—41no—
1728C4—41no—
1729C4—41no—
1730C4—41no—
1731C4—2921no—
1732C4—2921no—
1733C4—2921no—
1734C4—2921no—
1735C4—732no—
1736C4—1461no—
1737C4—1461no—
1738C4—1462no—
1739C4—1461no—
1740C4—1461no—
1741C4—1461no—
1742C4—1461no—
1743C4C2×#41×D7311yescharacteristic
1744C4#1798942211yescharacteristic
1745C2—41no—
1746C2—41no—
1747C2—42no—
1748C2—81no—
1749C2—81no—
1750C2—2921no—
1751C2—5841no—
1752C2—5841no—
1753C2—5841no—
1754C2#2262341511yescharacteristic
1755C2#576×D7311yescharacteristic
1756C2#2262470011yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3297C2
socleC22×C73C23×D4
hypercenter#3297D73
hypocenterC73#61494
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3297

Complements

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

NH ≅ G/Ntype
1. #22623930C2semidirect
2. #22623879C2semidirect
3. #22622968C2semidirect
4. #22622847C2semidirect
5. #22622624C2semidirect
6. #22622564C2semidirect
7. #22622508C2semidirect
8. #22622429C2semidirect
9. #22622425C2semidirect
10. #22621882C2semidirect
11. #22621876C2semidirect
12. #22621865C2semidirect
13. #22621782C2semidirect
14. #22621740C2semidirect
15. #22621549C2semidirect
16. #22621475C2semidirect
17. #22621467C2semidirect
18. #22620613C2semidirect
19. #22620609C2semidirect
20. #22620505C2semidirect
21. #22620196C2semidirect
22. #22620190C2semidirect
23. #22620176C2semidirect
24. #22620168C2semidirect
25. #22620077C2semidirect
26. #22620075C2semidirect
27. #22618899C2semidirect
28. #22618757C2semidirect
29. #22618756C2semidirect
30. #22618699C2semidirect
31. C73×#3297C2semidirect
36. #17989314C22semidirect
42. #17989281C22semidirect
45. #17989258C22semidirect
46. #17989258C22semidirect
49. #17989255C22semidirect
59. #17989193C22semidirect
60. #17989190C22semidirect
67. #17989132C22semidirect
72. #17989068C22semidirect
73. #17989066C22semidirect
77. #17989055C22semidirect
78. #17988997C22semidirect
79. #17988994C22semidirect
80. #17988991C22semidirect
81. #17988977C22semidirect
82. #17988973C22semidirect
84. #17988943C22semidirect
85. #17988934C22semidirect
87. #17988932C22semidirect
88. #17988932C22semidirect
89. #17988921C22semidirect
90. #17988914C22semidirect
91. #17988913C22semidirect
92. #17988912C22semidirect
93. #17988912C22semidirect
94. #17988911C22semidirect
95. #17988908C22semidirect
96. #17988908C22semidirect
99. #17988889C22semidirect
101. #17988884C22semidirect
102. #17988883C22semidirect
103. #17988881C22semidirect
104. #17988871C22semidirect
105. #17988870C22semidirect
106. #17988867C22semidirect
107. #17988866C22semidirect
108. #17988866C22semidirect
112. #17988836C22semidirect
113. #17988835C22semidirect
115. #17988823C22semidirect
117. #17988821C22semidirect
118. #17988821C22semidirect
119. #17988819C22semidirect
120. #17988812C22semidirect
121. #17988806C22semidirect
122. #17988805C22semidirect
124. #17988785C22semidirect
125. #17988783C22semidirect
130. #17988780C22semidirect
131. #17988747C22semidirect
132. #17988746C22semidirect
134. #17988734C22semidirect
136. #17988730C22semidirect
141. #17988716C22semidirect
142. C8×Dic146C22semidirect
144. #17988698C22semidirect
145. #17988697C22semidirect
147. #17988696C22semidirect
148. #17988696C22semidirect
149. #17988690C22semidirect
150. #17988688C22semidirect
152. #17988686C22semidirect
154. #17988684C22semidirect
155. #17988679C22semidirect
156. #17988679C22semidirect
159. #17988678C22semidirect
160. C4×#11924017C22semidirect
161. #17988672C22semidirect
162. #17988672C22semidirect
163. D8×Dic73C22semidirect
164. #17988669C22semidirect
168. #17988667C22semidirect
169. #17988667C22semidirect
171. #17988659C22semidirect
172. #17988655C22semidirect
174. C8×C22⋊D73C22semidirect
175. #17988647C22semidirect
176. #17988645C22semidirect
177. #17988641C22semidirect
178. #17988628C22semidirect
179. #17988627C22semidirect
180. #17988623C22semidirect
181. #17988584C22semidirect
182. #17988584C22semidirect
183. #17988580C22semidirect
185. #17988542C22semidirect
186. #17988541C22semidirect
187. C2×C8×Dic73C22semidirect
188. #553×C73C22semidirect
190. #488×C73C22semidirect
191. #484×C73C22semidirect
192. #482×C73C22semidirect
194. #466×C73C22semidirect
195. #465×C73C22semidirect
196. #463×C73C22semidirect
200. C8×D4×C73C22semidirect
548. #11924016#41semidirect
892. #3297D73semidirect
910. C73#61494semidirect
922. #553C2×D73semidirect
966. #488C2×D73semidirect
972. #484C2×D73semidirect
980. #482C2×D73semidirect
1004. #466C2×D73semidirect
1006. #465C2×D73semidirect
1010. #463C2×D73semidirect
1066. C8×D4C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226239302
#226238792
#226229682
#226228472
#226226242
#226225642
#226225082
#226224292
#226224252
#226218822
#226218762
#226218652
#226217822
#226217402
#226215492
#226214752
#226214672
#226206132
#226206092
#226205052
#226201962
#226201902
#226201762
#226201682
#226200772
#226200752
#226188992
#226187572
#226187562
#226186992
C73×#32972
#6149473