Finite Group Databasebeta

← #33969102

Subgroups — #33969102

Order 18688.

1890 conjugacy classes of subgroups.

The subgroup lattice has 1760 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624036C211yesmaximal, characteristic, complemented
2#22622973C211yesmaximal, characteristic, complemented
3#22622876C211yesmaximal, characteristic, complemented
4#22622684C211yesmaximal, characteristic, complemented
5#22622656C211yesmaximal, characteristic, complemented
6#22622485C211yesmaximal, characteristic, complemented
7#22622431C211yesmaximal, characteristic, complemented
8#22622425C211yesmaximal, characteristic, complemented
9#22622178C211yesmaximal, characteristic, complemented
10#22622173C211yesmaximal, characteristic, complemented
11#22622111C211yesmaximal, characteristic, complemented
12#22622072C211yesmaximal, characteristic, complemented
13#22621952C211yesmaximal, characteristic, complemented
14#22621931C211yesmaximal, characteristic, complemented
15#22621547C211yesmaximal, characteristic, complemented
16#22621422C211yesmaximal, characteristic, complemented
17#22621422C211yesmaximal, characteristic, complemented
18#22620616C211yesmaximal, characteristic, complemented
19#22620575C211yesmaximal, characteristic, complemented
20#22620520C211yesmaximal, characteristic, complemented
21#22620217C211yesmaximal, characteristic, complemented
22#22620174C211yesmaximal, characteristic, complemented
23#22620124C211yesmaximal, characteristic, complemented
24#22620115C211yesmaximal, characteristic, complemented
25#22620076C211yesmaximal, characteristic, complemented
26#22620069C211yesmaximal, characteristic, complemented
27#22618918C211yesmaximal, characteristic, complemented
28#22618788C211yesmaximal, characteristic, complemented
29#22618763C211yesmaximal, characteristic, complemented
30C4×#14556617C211yesmaximal, characteristic, complemented
31C73×#3519C211yesmaximal, characteristic, complemented
32C2×#14556617C2211yescharacteristic
33C2×#14556617C2211yescharacteristic
34C22×#11924016C2211yescharacteristic
35#17989322C2211yescharacteristic, complemented
36#17989321—21no—
37#17989315C2211yescharacteristic, complemented
38#17989302C2211yescharacteristic, complemented
39#17989299—21no—
40#17989283C2211yescharacteristic, complemented
41#17989282—21no—
42#17989277C2211yescharacteristic, complemented
43#17989269—21no—
44#17989258C2211yescharacteristic, complemented
45#17989246C2211yescharacteristic, complemented
46#17989246C2211yescharacteristic, complemented
47#17989208C2211yescharacteristic, complemented
48#17989207—21no—
49#17989192C2211yescharacteristic, complemented
50#17989187—21no—
51#17989121C2211yescharacteristic, complemented
52#17989120—21no—
53#17989120—21no—
54#17989067C2211yescharacteristic, complemented
55#17989064C2211yescharacteristic, complemented
56C4×#11924028C2211yescharacteristic, complemented
57#17988997C2211yescharacteristic, complemented
58#17988993C2211yescharacteristic, complemented
59#17988986C2211yescharacteristic, complemented
60#17988974C2211yescharacteristic, complemented
61#17988974C2211yescharacteristic, complemented
62#17988963C2211yescharacteristic, complemented
63#17988953C2211yescharacteristic, complemented
64#17988951C2211yescharacteristic, complemented
65#17988951C2211yescharacteristic, complemented
66#17988949C2211yescharacteristic, complemented
67#17988944C2211yescharacteristic, complemented
68#17988933C2211yescharacteristic, complemented
69#17988928C2211yescharacteristic, complemented
70#17988917C2211yescharacteristic, complemented
71#17988911C2211yescharacteristic, complemented
72#17988911C2211yescharacteristic, complemented
73#17988911C2211yescharacteristic, complemented
74#17988908C2211yescharacteristic, complemented
75#17988908C2211yescharacteristic, complemented
76#17988908C2211yescharacteristic, complemented
77#17988908C2211yescharacteristic, complemented
78#17988903C2211yescharacteristic, complemented
79#17988900C2211yescharacteristic, complemented
80#17988898C2211yescharacteristic, complemented
81#17988891C2211yescharacteristic, complemented
82#17988891C2211yescharacteristic, complemented
83#17988891C2211yescharacteristic, complemented
84#17988887C2211yescharacteristic
85#17988887C2211yescharacteristic
86#17988887C2211yescharacteristic, complemented
87#17988887C2211yescharacteristic, complemented
88#17988884C2211yescharacteristic, complemented
89#17988877C2211yescharacteristic
90#17988869C2211yescharacteristic, complemented
91#17988867C2211yescharacteristic, complemented
92#17988864C2211yescharacteristic, complemented
93#17988838C2211yescharacteristic, complemented
94#17988838C2211yescharacteristic, complemented
95#17988838C2211yescharacteristic, complemented
96#17988838C2211yescharacteristic, complemented
97#17988838C2211yescharacteristic, complemented
98#17988831C2211yescharacteristic, complemented
99#17988831C2211yescharacteristic, complemented
100#17988831C2211yescharacteristic, complemented
101#17988821C2211yescharacteristic, complemented
102#17988821C2211yescharacteristic, complemented
103#17988821C2211yescharacteristic, complemented
104#17988814C2211yescharacteristic, complemented
105#17988802C2211yescharacteristic
106#17988802C2211yescharacteristic
107#17988802C2211yescharacteristic, complemented
108#17988802C2211yescharacteristic, complemented
109#17988784C2211yescharacteristic, complemented
110#17988784C2211yescharacteristic, complemented
111#17988784C2211yescharacteristic, complemented
112#17988784C2211yescharacteristic, complemented
113#17988782C2211yescharacteristic
114#17988782C2211yescharacteristic, complemented
115#17988779C2211yescharacteristic, complemented
116#17988779C2211yescharacteristic, complemented
117#17988738C2211yescharacteristic
118#17988738C2211yescharacteristic
119#17988730C2211yescharacteristic, complemented
120#17988730C2211yescharacteristic, complemented
121#17988730C2211yescharacteristic, complemented
122#17988730C2211yescharacteristic, complemented
123#17988725C2211yescharacteristic, complemented
124#17988725C2211yescharacteristic, complemented
125#17988721C2211yescharacteristic
126#17988721C2211yescharacteristic
127#17988721C2211yescharacteristic
128#17988721C2211yescharacteristic
129#17988718C2211yescharacteristic, complemented
130#17988718C2211yescharacteristic, complemented
131#17988697C2211yescharacteristic
132#17988697C2211yescharacteristic
133#17988697C2211yescharacteristic, complemented
134#17988697C2211yescharacteristic, complemented
135#17988697C2211yescharacteristic, complemented
136#17988697C2211yescharacteristic, complemented
137#17988697C2211yescharacteristic, complemented
138#17988687C2211yescharacteristic
139#17988687C2211yescharacteristic
140#17988687C2211yescharacteristic
141#17988687C2211yescharacteristic
142#17988687C2211yescharacteristic, complemented
143#17988687C2211yescharacteristic, complemented
144#17988687C2211yescharacteristic, complemented
145#17988687C2211yescharacteristic, complemented
146#17988687C2211yescharacteristic, complemented
147C4×#11924016C2211yescharacteristic
148C4×#11924016C2211yescharacteristic
149C4×#11924016C2211yescharacteristic, complemented
150C4×#11924016C2211yescharacteristic, complemented
151C4×#11924016C2211yescharacteristic, complemented
152C4×#11924016C2211yescharacteristic, complemented
153C4×#11924016C2211yescharacteristic, complemented
154C4×#11924013C2211yescharacteristic
155C4×#11924013C2211yescharacteristic
156C4×#11924013C2211yescharacteristic, complemented
157C4×#11924013C2211yescharacteristic, complemented
158C4×#11924013C2211yescharacteristic, complemented
159#17988665C2211yescharacteristic, complemented
160#17988665C2211yescharacteristic, complemented
161#17988659C2211yescharacteristic, complemented
162#17988659C2211yescharacteristic, complemented
163#17988659C2211yescharacteristic, complemented
164#17988659C2211yescharacteristic, complemented
165#17988648C2211yescharacteristic, complemented
166#17988648C2211yescharacteristic, complemented
167#17988644C2211yescharacteristic, complemented
168#17988630C2211yescharacteristic, complemented
169#17988627C2211yescharacteristic, complemented
170#17988623C2211yescharacteristic, complemented
171#17988595C2211yescharacteristic, complemented
172#17988592C2211yescharacteristic
173#17988592C2211yescharacteristic
174#17988586C2211yescharacteristic, complemented
175#17988581C2211yescharacteristic, complemented
176C2×#14556512C2211yescharacteristic
177#17988543C2211yescharacteristic, complemented
178#17988543C2211yescharacteristic, complemented
179C4×#11924012C2211yescharacteristic, complemented
180#555×C73C2211yescharacteristic
181#554×C73C2211yescharacteristic
182#553×C73—21no—
183#553×C73C2211yescharacteristic
184#553×C73C2211yescharacteristic
185#550×C73C2211yescharacteristic
186#546×C73—21no—
187#546×C73—21no—
188#546×C73—21no—
189D42×C73C2211yescharacteristic
190D42×C73C2211yescharacteristic
191D42×C73C2211yescharacteristic
192#540×C73C2211yescharacteristic
193#540×C73C2211yescharacteristic
194#538×C73—21no—
195#538×C73—21no—
196#532×C73C2211yescharacteristic
197#529×C73C2211yescharacteristic
198#525×C73—21no—
199C2×#121×C73—21no—
200#518×C73C2211yescharacteristic
201#518×C73C2211yescharacteristic
202C2×C4×D4×C73C2211yescharacteristic
203C2×#11924028C2311yescharacteristic
204C2×#11924028C2311yescharacteristic
205C22×Dic146C2311yescharacteristic
206#14556617—24no—
207#14556617—24no—
208C2×#11924016—24no—
209C2×#11924016C2311yescharacteristic
210C2×#11924016C2311yescharacteristic
211C2×#11924016C2311yescharacteristic
212C2×#11924016C2311yescharacteristic
213C2×#11924016C2311yescharacteristic
214C2×#11924016C2311yescharacteristic
215C2×#11924016C2311yescharacteristic
216C2×#11924016C2311yescharacteristic
217C2×#11924013C2311yescharacteristic
218C2×#11924013C2311yescharacteristic
219C2×#11924013C2311yescharacteristic
220C2×#11924013C2311yescharacteristic
221C2×#11924013C2311yescharacteristic
222C2×#11924013C2311yescharacteristic
223C2×#11924013C2311yescharacteristic
224C2×#11924013C2311yescharacteristic
225C2×#11924012C2311yescharacteristic
226C2×#11924012C2311yescharacteristic
227C2×#11924012C2311yescharacteristic
228C2×#11924012C2311yescharacteristic
229C22×#10596831C2311yescharacteristic
230C22×#10596831C2311yescharacteristic
231#14556591C2311yescharacteristic
232#14556589—21no—
233#14556588C2311yescharacteristic
234#14556587—21no—
235#14556586—21no—
236#14556586—21no—
237#14556585—21no—
238#14556584—21no—
239#14556583C2311yescharacteristic
240#14556583C2311yescharacteristic
241#14556581—21no—
242#14556581—21no—
243#14556581—21no—
244#14556580—21no—
245#14556579C2311yescharacteristic
246#14556579C2311yescharacteristic
247#14556577—21no—
248#14556577—21no—
249#14556577—21no—
250#14556577—21no—
251#14556577—21no—
252#14556576—21no—
253#14556576—21no—
254#14556576—21no—
255#14556576—21no—
256#14556574—21no—
257#14556573—21no—
258#14556573—21no—
259#14556572—21no—
260#14556570C2311yescharacteristic
261#14556570C2311yescharacteristic
262#14556569—21no—
263#14556569—21no—
264#14556569—21no—
265#14556565C2311yescharacteristic
266#14556565C2311yescharacteristic
267#14556565C2311yescharacteristic
268#14556565C2311yescharacteristic
269#14556564—21no—
270#14556564—21no—
271#14556564—21no—
272#14556564—21no—
273#14556563—21no—
274#14556563—21no—
275#14556563—21no—
276#14556562—21no—
277C4×Dic146C2311yescharacteristic
278C4×Dic146C2311yescharacteristic
279C4×Dic146C2311yescharacteristic
280C4×Dic146C2311yescharacteristic
281C4×Dic146C2311yescharacteristic
282C4×Dic146C2311yescharacteristic
283#14556556—21no—
284#14556556—21no—
285#14556556—21no—
286C4×D292C2311yescharacteristic
287C4×D292C2311yescharacteristic
288C4×D292C2311yescharacteristic
289C4×D292C2311yescharacteristic
290#14556553—21no—
291#14556553—21no—
292C4×C22⋊D73—21no—
293C4×C22⋊D73—21no—
294C4×C22⋊D73—21no—
295#14556551—21no—
296#14556551—21no—
297#14556551—21no—
298#14556551—21no—
299#14556551—21no—
300#14556550C2311yescharacteristic
301#14556550C2311yescharacteristic
302#14556549—21no—
303#14556549—21no—
304#14556548—21no—
305#14556548—21no—
306#14556547—21no—
307#14556547—21no—
308#14556547—21no—
309C2×C4⋊Dic73C2311yescharacteristic
310C4⋊C4×D73—21no—
311C42×D73—21no—
312#14556524C2311yescharacteristic
313#14556524C2311yescharacteristic
314#14556524C2311yescharacteristic
315#14556524C2311yescharacteristic
316#14556524C2311yescharacteristic
317#14556524C2311yescharacteristic
318#14556524C2311yescharacteristic
319#14556524C2311yescharacteristic
320#14556522C2311yescharacteristic
321#14556522C2311yescharacteristic
322#14556522C2311yescharacteristic
323#14556522C2311yescharacteristic
324#14556522C2311yescharacteristic
325#14556522C2311yescharacteristic
326#14556522C2311yescharacteristic
327#14556522C2311yescharacteristic
328C4⋊#10596831C2311yescharacteristic
329C4⋊#10596831C2311yescharacteristic
330C4⋊#10596831C2311yescharacteristic
331C4⋊#10596831C2311yescharacteristic
332C4⋊#10596831C2311yescharacteristic
333C4⋊#10596831C2311yescharacteristic
334#14556514C2311yescharacteristic
335#14556514C2311yescharacteristic
336#14556514C2311yescharacteristic
337#14556514C2311yescharacteristic
338#14556514C2311yescharacteristic
339#14556514C2311yescharacteristic
340#14556514C2311yescharacteristic
341#14556514C2311yescharacteristic
342#14556512C2311yescharacteristic
343#14556512C2311yescharacteristic
344#14556512C2311yescharacteristic
345#14556512C2311yescharacteristic
346#14556512C2311yescharacteristic
347#14556512C2311yescharacteristic
348#14556512C2311yescharacteristic
349#14556512C2311yescharacteristic
350#14556512C2311yescharacteristic
351#14556512C2311yescharacteristic
352#14556512C2311yescharacteristic
353#14556512C2311yescharacteristic
354#14556512C2311yescharacteristic
355#14556512C2311yescharacteristic
356#14556512C2311yescharacteristic
357#14556512C2311yescharacteristic
358#14556511C2311yescharacteristic
359#14556511C2311yescharacteristic
360#14556511C2311yescharacteristic
361#14556511C2311yescharacteristic
362#14556511C2311yescharacteristic
363#14556511C2311yescharacteristic
364#14556511C2311yescharacteristic
365#14556511C2311yescharacteristic
366C22⋊#10596831C2311yescharacteristic
367C22⋊#10596831C2311yescharacteristic
368C22⋊#10596831C2311yescharacteristic
369C22⋊#10596831C2311yescharacteristic
370C22⋊#10596831C2311yescharacteristic
371C22⋊#10596831C2311yescharacteristic
372#14556502C2311yescharacteristic
373#14556502C2311yescharacteristic
374#14556502C2311yescharacteristic
375#14556502C2311yescharacteristic
376#14556502C2311yescharacteristic
377#14556502C2311yescharacteristic
378C4×#10596831C2311yescharacteristic
379C4×#10596831C2311yescharacteristic
380C4×#10596831C2311yescharacteristic
381C4×#10596831C2311yescharacteristic
382C2×#41×C73—21no—
383C2×#41×C73—21no—
384C22×D4×C73—21no—
385C22×D4×C73—21no—
386C22×D4×C73—21no—
387C22×D4×C73C2311yescharacteristic
388C22×D4×C73C2311yescharacteristic
389C22×D4×C73C2311yescharacteristic
390C23×C4×C73—21no—
391C4⋊Q8×C73C2311yescharacteristic
392#127×C73C2311yescharacteristic
393#127×C73C2311yescharacteristic
394#127×C73C2311yescharacteristic
395#126×C73—21no—
396#126×C73—21no—
397#126×C73D411yescharacteristic
398#126×C73D411yescharacteristic
399#125×C73D411yescharacteristic
400#125×C73C2311yescharacteristic
401#125×C73C2311yescharacteristic
402#124×C73—21no—
403#124×C73—21no—
404#124×C73—21no—
405#124×C73D411yescharacteristic
406#123×C73—21no—
407#123×C73—21no—
408#123×C73—21no—
409#123×C73—21no—
410#123×C73—21no—
411#123×C73—21no—
412#123×C73D411yescharacteristic
413#123×C73D411yescharacteristic
414C22⋊Q8×C73—21no—
415C22⋊Q8×C73—21no—
416C22⋊Q8×C73—21no—
417C22⋊Q8×C73D411yescharacteristic
418#121×C73—21no—
419#121×C73—21no—
420#121×C73—21no—
421#121×C73—21no—
422#121×C73—21no—
423#121×C73—21no—
424#121×C73—21no—
425#121×C73—21no—
426#121×C73—21no—
427#121×C73—21no—
428#121×C73—21no—
429#121×C73—21no—
430#121×C73—21no—
431#121×C73—21no—
432#121×C73D411yescharacteristic
433#121×C73C2311yescharacteristic
434#121×C73C2311yescharacteristic
435#121×C73C2311yescharacteristic
436#121×C73C2311yescharacteristic
437#121×C73C2311yescharacteristic
438#121×C73C2311yescharacteristic
439#120×C73—21no—
440#120×C73—21no—
441#120×C73—21no—
442#120×C73—21no—
443#120×C73—21no—
444#120×C73—21no—
445C4×Q8×C73C2311yescharacteristic
446C4×D4×C73—21no—
447C4×D4×C73—21no—
448C4×D4×C73—21no—
449C4×D4×C73—21no—
450C4×D4×C73—21no—
451C4×D4×C73—21no—
452C4×D4×C73—21no—
453C4×D4×C73—21no—
454C4×D4×C73—21no—
455C4×D4×C73C2311yescharacteristic
456C4×D4×C73C2311yescharacteristic
457C4×D4×C73C2311yescharacteristic
458C4×D4×C73C2311yescharacteristic
459C4×D4×C73C2311yescharacteristic
460C4×D4×C73C2311yescharacteristic
461C4×D4×C73C2311yescharacteristic
462C4×D4×C73C2311yescharacteristic
463C4×D4×C73C2311yescharacteristic
464C4×D4×C73C2311yescharacteristic
465C4×D4×C73C2311yescharacteristic
466C4×D4×C73C2311yescharacteristic
467C4×D4×C73C2311yescharacteristic
468#117×C73—21no—
469#117×C73C2311yescharacteristic
470#117×C73C2311yescharacteristic
471#117×C73C2311yescharacteristic
472#117×C73C2311yescharacteristic
473C2×C4⋊C4×C73—21no—
474C2×C4⋊C4×C73C2311yescharacteristic
475C2×C22⋊C4×C73—21no—
476C2×C22⋊C4×C73—21no—
477C2×C22⋊C4×C73—21no—
478C2×C22⋊C4×C73—21no—
479C2×C22⋊C4×C73—21no—
480C2×C42×C73C2311yescharacteristic
481#11924028—22no—
482#11924028—22no—
483#11924028—41no—
484#11924028—41no—
485C2×Dic146—22no—
486C2×Dic146—21no—
487C2×Dic146—21no—
488C2×Dic146—41no—
489C2×Dic146C2411yescharacteristic
490C2×Dic146C2411yescharacteristic
491C2×D292—21no—
492C2×D292—21no—
493C2×D292C2411yescharacteristic
494C2×D292C2411yescharacteristic
495C2×C22⋊D73—21no—
496C2×C22⋊D73—21no—
497C2×C22⋊D73—21no—
498C2×C22⋊D73—21no—
499C2×C22⋊D73—21no—
500C2×C22⋊D73—21no—
501C22×Dic73—21no—
502C22×Dic73—21no—
503C2×C4×D73—21no—
504C2×C4×D73—21no—
505C2×C4×D73—21no—
506C2×C4×D73—21no—
507C2×C4×D73—21no—
508C2×C4×D73—21no—
509#11924016—22no—
510#11924016—22no—
511#11924016—22no—
512#11924016—22no—
513#11924016—22no—
514#11924016—41no—
515#11924016—41no—
516#11924016#4114yescomplemented
517#11924013—22no—
518#11924013—22no—
519#11924013—22no—
520#11924013—22no—
521#11924013—41no—
522#11924013—41no—
523#11924013—41no—
524#11924013—41no—
525#11924012—22no—
526#11924012—22no—
527#11924012—41no—
528#11924012—41no—
529C2×#10596831—22no—
530C2×#10596831—41no—
531C2×#10596831C2411yescharacteristic
532C2×#10596831C2411yescharacteristic
533C2×#10596831C2411yescharacteristic
534C2×#10596831C2411yescharacteristic
535C2×#10596831C2411yescharacteristic
536C2×#10596831C2411yescharacteristic
537C2×#10596831C2411yescharacteristic
538C2×#10596831C2411yescharacteristic
539C4⋊Dic73—21no—
540C4⋊Dic73—21no—
541C4⋊Dic73C2411yescharacteristic
542C4⋊Dic73C2411yescharacteristic
543C4⋊Dic73C2411yescharacteristic
544C4⋊Dic73C2411yescharacteristic
545#11924007—21no—
546#11924007—21no—
547#11924007—21no—
548#11924007—21no—
549#11924007—21no—
550#11924007—21no—
551#11924007—21no—
552#11924007—21no—
553#11924007—21no—
554#11924007—21no—
555#11924007—21no—
556#11924007—21no—
557C22⋊Dic73—21no—
558C22⋊Dic73—21no—
559C22⋊Dic73—21no—
560C22⋊Dic73—21no—
561#11924005—21no—
562#11924005—21no—
563#11924005—21no—
564#11924005—21no—
565#11924005—21no—
566#11924005—21no—
567#11924005—21no—
568#11924005—21no—
569#11924005—21no—
570#11924005—21no—
571#11924005—21no—
572#11924005—21no—
573C4×Dic73—21no—
574C4×Dic73—21no—
575C4×Dic73—21no—
576C4×Dic73—21no—
577C4×Dic73—21no—
578C4×Dic73—21no—
579C4×Dic73—21no—
580C4×Dic73—21no—
581C24×C73—21no—
582C24×C73—21no—
583C24×C73—21no—
584#41×C73—82no—
585#41×C73—82no—
586C2×Q8×C73—21no—
587C2×Q8×C73C2×D411yescharacteristic
588C2×D4×C73—22no—
589C2×D4×C73—22no—
590C2×D4×C73—22no—
591C2×D4×C73—21no—
592C2×D4×C73—21no—
593C2×D4×C73—21no—
594C2×D4×C73—21no—
595C2×D4×C73—21no—
596C2×D4×C73—21no—
597C2×D4×C73—21no—
598C2×D4×C73—21no—
599C2×D4×C73—21no—
600C2×D4×C73—21no—
601C2×D4×C73—21no—
602C2×D4×C73—21no—
603C2×D4×C73—21no—
604C2×D4×C73—21no—
605C2×D4×C73—21no—
606C2×D4×C73—41no—
607C2×D4×C73—41no—
608C2×D4×C73—41no—
609C2×D4×C73—82no—
610C2×D4×C73—82no—
611C2×D4×C73—82no—
612C2×D4×C73C2×D411yescharacteristic
613C2×D4×C73C2×D411yescharacteristic
614C2×D4×C73C2×D411yescharacteristic
615C2×D4×C73C2411yescharacteristic
616C2×D4×C73C2411yescharacteristic
617C2×D4×C73C2411yescharacteristic
618C2×D4×C73C2411yescharacteristic
619C22×C4×C73—21no—
620C22×C4×C73—21no—
621C22×C4×C73—21no—
622C22×C4×C73—21no—
623C22×C4×C73—21no—
624C22×C4×C73—21no—
625C22×C4×C73—21no—
626C22×C4×C73—21no—
627C22×C4×C73—21no—
628C22×C4×C73—21no—
629C22×C4×C73—21no—
630C22×C4×C73—82no—
631C22×C4×C73C2×D411yescharacteristic
632C22×C4×C73C2×D411yescharacteristic
633C22×C4×C73C2411yescharacteristic
634C22×C4×C73C2411yescharacteristic
635C22×C4×C73C2411yescharacteristic
636C4⋊C4×C73—21no—
637C4⋊C4×C73—21no—
638C4⋊C4×C73—21no—
639C4⋊C4×C73—21no—
640C4⋊C4×C73—21no—
641C4⋊C4×C73—21no—
642C4⋊C4×C73C2×D411yescharacteristic
643C4⋊C4×C73C2×D411yescharacteristic
644C4⋊C4×C73C2×D411yescharacteristic
645C4⋊C4×C73C2×D411yescharacteristic
646C4⋊C4×C73C2×D411yescharacteristic
647C4⋊C4×C73C2×D411yescharacteristic
648C4⋊C4×C73C2×D411yescharacteristic
649C4⋊C4×C73C2×D411yescharacteristic
650C4⋊C4×C73C2×D411yescharacteristic
651C4⋊C4×C73C2×D411yescharacteristic
652C4⋊C4×C73C2411yescharacteristic
653C4⋊C4×C73C2411yescharacteristic
654C4⋊C4×C73C2411yescharacteristic
655C4⋊C4×C73C2411yescharacteristic
656C22⋊C4×C73—21no—
657C22⋊C4×C73—21no—
658C22⋊C4×C73—21no—
659C22⋊C4×C73—21no—
660C22⋊C4×C73—21no—
661C22⋊C4×C73—21no—
662C22⋊C4×C73—21no—
663C22⋊C4×C73—21no—
664C22⋊C4×C73—21no—
665C22⋊C4×C73—21no—
666C22⋊C4×C73—21no—
667C22⋊C4×C73—21no—
668C22⋊C4×C73—21no—
669C22⋊C4×C73—21no—
670C22⋊C4×C73—21no—
671C22⋊C4×C73—21no—
672C22⋊C4×C73—21no—
673C22⋊C4×C73—21no—
674C22⋊C4×C73C2×D411yescharacteristic
675C22⋊C4×C73C2×D411yescharacteristic
676C22⋊C4×C73C2×D411yescharacteristic
677C22⋊C4×C73C2×D411yescharacteristic
678C22⋊C4×C73C2×D411yescharacteristic
679C22⋊C4×C73C2×D411yescharacteristic
680C22⋊C4×C73C2×D411yescharacteristic
681C22⋊C4×C73C2×D411yescharacteristic
682C22⋊C4×C73C2×D411yescharacteristic
683C22⋊C4×C73C2×D411yescharacteristic
684C42×C73—21no—
685C42×C73—21no—
686C42×C73C2×D411yescharacteristic
687C42×C73C2×D411yescharacteristic
688C42×C73C2411yescharacteristic
689C42×C73C2411yescharacteristic
690C42×C73C2411yescharacteristic
691C42×C73C2411yescharacteristic
692C23×C73—21no—
693C23×C73—21no—
694C23×C73—21no—
695C23×C73—21no—
696C23×C73—42no—
697C23×C73—42no—
698C23×C73—42no—
699C23×C73—42no—
700C23×C73—81no—
701C23×C73—81no—
702C23×C73—81no—
703C23×C73—81no—
704C23×C73—81no—
705C23×C73C22×D411yescharacteristic
706C23×C73C22×D411yescharacteristic
707C23×C73C22×D411yescharacteristic
708C22×D73—21no—
709C22×D73—21no—
710Q8×C73—41no—
711Q8×C73—81no—
712D4×C73—21no—
713D4×C73—21no—
714D4×C73—21no—
715D4×C73—21no—
716D4×C73—21no—
717D4×C73—21no—
718D4×C73—21no—
719D4×C73—41no—
720D4×C73—41no—
721D4×C73—41no—
722D4×C73—42no—
723D4×C73—42no—
724D4×C73—42no—
725D4×C73—42no—
726D4×C73—42no—
727D4×C73—42no—
728D4×C73—81no—
729D4×C73—81no—
730D4×C73—81no—
731D4×C73—81no—
732D4×C73—81no—
733D4×C73—81no—
734D4×C73—81no—
735D4×C73—81no—
736D4×C73—81no—
737D4×C73C2×#4112yes—
738C2×C4×C73—21no—
739C2×C4×C73—21no—
740C2×C4×C73—21no—
741C2×C4×C73—21no—
742C2×C4×C73—21no—
743C2×C4×C73—21no—
744C2×C4×C73—21no—
745C2×C4×C73—21no—
746C2×C4×C73—21no—
747C2×C4×C73—21no—
748C2×C4×C73—41no—
749C2×C4×C73—41no—
750C2×C4×C73—42no—
751C2×C4×C73—42no—
752C2×C4×C73—81no—
753C2×C4×C73—81no—
754C2×C4×C73—81no—
755C2×C4×C73—81no—
756C2×C4×C73—81no—
757C2×C4×C73—81no—
758C2×C4×C73—81no—
759C2×C4×C73—81no—
760C2×C4×C73—81no—
761C2×C4×C73C22×D411yescharacteristic
762C2×C4×C73C22×D411yescharacteristic
763C2×C4×C73C22×D411yescharacteristic
764C2×C4×C73C22×D411yescharacteristic
765C2×C4×C73C22×D411yescharacteristic
766C2×C4×C73C22×D411yescharacteristic
767C2×C4×C73C22×D411yescharacteristic
768C2×C4×C73C22×D411yescharacteristic
769C2×C4×C73C22×D411yescharacteristic
770C2×C4×C73C22×D411yescharacteristic
771C2×C4×C73C22×D411yescharacteristic
772C2×C4×C73C2511yescharacteristic
773C22⋊D73—42no—
774C22⋊D73—42no—
775C22⋊D73—81no—
776C22⋊D73—81no—
777C22⋊D73—81no—
778C22⋊D73—81no—
779C2×Dic73—21no—
780C2×Dic73—21no—
781C2×Dic73—21no—
782C2×Dic73—21no—
783C2×Dic73—21no—
784C2×Dic73—21no—
785C2×Dic73—42no—
786C2×Dic73—81no—
787D292—21no—
788D292—21no—
789D292—21no—
790D292—21no—
791D292—81no—
792D292—81no—
793C4×D73—42no—
794C4×D73—42no—
795C4×D73—81no—
796C4×D73—81no—
797C4×D73—81no—
798C4×D73—81no—
799Dic146—21no—
800Dic146—21no—
801Dic146—21no—
802Dic146—42no—
803Dic146—81no—
804Dic146C2×#4112yes—
805#10596831—21no—
806#10596831—21no—
807#10596831—21no—
808#10596831—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—21no—
818C22×C73—21no—
819C22×C73—21no—
820C22×C73—21no—
821C22×C73—21no—
822C22×C73—22no—
823C22×C73—41no—
824C22×C73—41no—
825C22×C73—41no—
826C22×C73—41no—
827C22×C73—41no—
828C22×C73—41no—
829C22×C73—41no—
830C22×C73—41no—
831C22×C73—41no—
832C22×C73—41no—
833C22×C73—41no—
834C22×C73—84no—
835C22×C73—162no—
836C22×C73—162no—
837C22×C73C23×D411yescharacteristic
838C2×D73—41no—
839C2×D73—41no—
840C2×D73—41no—
841C2×D73—41no—
842C2×D73—41no—
843C2×D73—41no—
844C4×C73—21no—
845C4×C73—21no—
846C4×C73—21no—
847C4×C73—21no—
848C4×C73—21no—
849C4×C73—21no—
850C4×C73—21no—
851C4×C73—21no—
852C4×C73—21no—
853C4×C73—21no—
854C4×C73—21no—
855C4×C73—41no—
856C4×C73—41no—
857C4×C73—41no—
858C4×C73—41no—
859C4×C73C22×#4111yescharacteristic
860C4×C73#58511yescharacteristic
861Dic73—22no—
862Dic73—41no—
863Dic73—41no—
864Dic73—41no—
865Dic73—41no—
866Dic73—41no—
867#61504—731nomaximal, Sylow
868C2×C73—41no—
869C2×C73—41no—
870C2×C73—41no—
871C2×C73—42no—
872C2×C73—81no—
873C2×C73—81no—
874C2×C73—81no—
875C2×C73D4×#4111yescharacteristic
876C2×C73#358511yescharacteristic
877C2×C73#358511yescharacteristic
878D73—81no—
879D73—81no—
880#3524—731no—
881#3519D7311yescharacteristic, complemented
882#3399—731no—
883#3388—731no—
884#3370—731no—
885#3368—731no—
886#3351—731no—
887#3347—731no—
888#3347—731no—
889#3326—731no—
890#3325—731no—
891#3321—731no—
892#3318—731no—
893#3310—731no—
894#3309—731no—
895#3274—731no—
896#3265—731no—
897#3265—731no—
898#3179—731no—
899#3176—731no—
900#3171—731no—
901#3126—731no—
902#3122—731no—
903#3119—731no—
904#3118—731no—
905#3115—731no—
906#3114—731no—
907#2967—731no—
908#2949—731no—
909#2946—731no—
910C4×AGL(1,ℤ/8)—731no—
911C73#6150411yescharacteristic, complemented, Sylow
912C2×AGL(1,ℤ/8)—731no—
913C2×AGL(1,ℤ/8)—731no—
914C22×SD16—731no—
915#559—731no—
916#559—1461no—
917#557—731no—
918#555—731no—
919#555—1461no—
920#555C2×D7311yescharacteristic
921#554C2×D7311yescharacteristic
922#553—21no—
923#553—731no—
924#553—1461no—
925#553C2×D7311yescharacteristic
926#553C2×D7311yescharacteristic
927#552—731no—
928#552—1461no—
929#550—731no—
930#550C2×D7311yescharacteristic
931#548—731no—
932#548—731no—
933#546—21no—
934#546—21no—
935#546—21no—
936D42C2×D7311yescharacteristic
937D42C2×D7311yescharacteristic
938D42C2×D7311yescharacteristic
939#542—731no—
940#542—1461no—
941#540—731no—
942#540—1461no—
943#540C2×D7311yescharacteristic
944#540C2×D7311yescharacteristic
945#538—21no—
946#538—21no—
947#532C2×D7311yescharacteristic
948#529—731no—
949#529—1461no—
950#529—1461no—
951#529C2×D7311yescharacteristic
952#525—21no—
953C2×#121—21no—
954#520—731no—
955#519—731no—
956#518C2×D7311yescharacteristic
957#518C2×D7311yescharacteristic
958C4×#41—731no—
959C2×C4×D4C2×D7311yescharacteristic
960#501—731no—
961#501—731no—
962#499—731no—
963#496—731no—
964#496—731no—
965#493—731no—
966#490—731no—
967#490—731no—
968#490—731no—
969#489—731no—
970#488—731no—
971#486—731no—
972#485—731no—
973#483—731no—
974#482—731no—
975#482—731no—
976#482—731no—
977#482—731no—
978#482—731no—
979#482—731no—
980#482—731no—
981#481—731no—
982#480—731no—
983#480—731no—
984#479—731no—
985#479—731no—
986#479—731no—
987#478—731no—
988#478—731no—
989#478—731no—
990#478—731no—
991#478—731no—
992#476—731no—
993#475—731no—
994#474—731no—
995#474—731no—
996#469—731no—
997#469—731no—
998#469—731no—
999#469—731no—
1000#469—731no—
1001#468—731no—
1002#468—731no—
1003#468—731no—
1004#466—731no—
1005#466—731no—
1006#466—731no—
1007#465—731no—
1008#463—731no—
1009#463—731no—
1010#463—731no—
1011#463—731no—
1012#460—731no—
1013#460—731no—
1014#460—731no—
1015#460—731no—
1016#459—731no—
1017#459—731no—
1018#459—731no—
1019#459—731no—
1020#450—731no—
1021#450—731no—
1022#449—731no—
1023#449—731no—
1024#449—731no—
1025#449—731no—
1026#448—731no—
1027#448—731no—
1028#447—731no—
1029#447—731no—
1030#447—731no—
1031#447—731no—
1032#446—731no—
1033#446—731no—
1034#442—731no—
1035#442—731no—
1036#442—731no—
1037#442—731no—
1038#442—731no—
1039#442—731no—
1040#442—731no—
1041#440—731no—
1042#440—731no—
1043#440—731no—
1044#440—731no—
1045#440—731no—
1046#440—731no—
1047#440—731no—
1048#440—731no—
1049#440—731no—
1050C4×SD16—731no—
1051C4×SD16—731no—
1052C4×SD16—731no—
1053C4×SD16—731no—
1054C4×SD16—731no—
1055C4×SD16—731no—
1056C4×SD16—731no—
1057C4×D8—731no—
1058C4×D8—731no—
1059C4×D8—731no—
1060C4×D8—731no—
1061C4×D8—731no—
1062#436—731no—
1063#436—731no—
1064#435—731no—
1065#435—731no—
1066#435—731no—
1067#435—731no—
1068#433—731no—
1069#433—731no—
1070#432—731no—
1071#428—731no—
1072#428—731no—
1073#427—731no—
1074#419—731no—
1075#418—731no—
1076#418—731no—
1077#417—731no—
1078#416—731no—
1079C2×#102—731no—
1080#405—731no—
1081#405—731no—
1082C4×M16—731no—
1083C2×#41—21no—
1084C2×#41—21no—
1085C2×#41—731no—
1086C2×#41—731no—
1087C22×Q8—731no—
1088C22×D4—21no—
1089C22×D4—21no—
1090C22×D4—21no—
1091C22×D4C22×D7311yescharacteristic
1092C22×D4C22×D7311yescharacteristic
1093C22×D4C22×D7311yescharacteristic
1094C23×C4—21no—
1095AGL(1,ℤ/8)—1464no—
1096AGL(1,ℤ/8)—1464no—
1097C2×SD16—731no—
1098C2×SD16—731no—
1099C2×SD16—731no—
1100C2×SD16—731no—
1101C2×SD16—731no—
1102C2×SD16—731no—
1103C2×SD16—731no—
1104C2×SD16—731no—
1105C2×SD16—1464no—
1106C2×D8—731no—
1107C2×D8—731no—
1108C2×D8—731no—
1109C2×D8—731no—
1110C2×D8—731no—
1111C2×D8—731no—
1112C2×D8—731no—
1113C2×D8—731no—
1114C2×M16—731no—
1115C2×M16—731no—
1116C2×M16—731no—
1117C2×M16—731no—
1118C22×C8—731no—
1119C22×C8—731no—
1120C4⋊Q8—731no—
1121C4⋊Q8—1461no—
1122C4⋊Q8C22×D7311yescharacteristic
1123#127—731no—
1124#127—1461no—
1125#127C22×D7311yescharacteristic
1126#127C22×D7311yescharacteristic
1127#127C22×D7311yescharacteristic
1128#126—21no—
1129#126—21no—
1130#126—1461no—
1131#126—1461no—
1132#126—1461no—
1133#126—1461no—
1134#126C22⋊D7311yescharacteristic
1135#126C22⋊D7311yescharacteristic
1136#125—731no—
1137#125—731no—
1138#125—1461no—
1139#125—1461no—
1140#125—1461no—
1141#125C22⋊D7311yescharacteristic
1142#125C22×D7311yescharacteristic
1143#125C22×D7311yescharacteristic
1144#124—21no—
1145#124—21no—
1146#124—21no—
1147#124—731no—
1148#124—731no—
1149#124—1461no—
1150#124—1461no—
1151#124—1461no—
1152#124—1461no—
1153#124—1461no—
1154#124—1461no—
1155#124C22⋊D7311yescharacteristic
1156#123—21no—
1157#123—21no—
1158#123—21no—
1159#123—21no—
1160#123—21no—
1161#123—21no—
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#123C22⋊D7311yescharacteristic
1171#123C22⋊D7311yescharacteristic
1172C22⋊Q8—21no—
1173C22⋊Q8—21no—
1174C22⋊Q8—21no—
1175C22⋊Q8—731no—
1176C22⋊Q8—731no—
1177C22⋊Q8—1461no—
1178C22⋊Q8—1461no—
1179C22⋊Q8—1461no—
1180C22⋊Q8C22⋊D7311yescharacteristic
1181#121—21no—
1182#121—21no—
1183#121—21no—
1184#121—21no—
1185#121—21no—
1186#121—21no—
1187#121—21no—
1188#121—21no—
1189#121—21no—
1190#121—21no—
1191#121—21no—
1192#121—21no—
1193#121—21no—
1194#121—21no—
1195#121—731no—
1196#121—731no—
1197#121—731no—
1198#121—731no—
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#121C22⋊D7311yescharacteristic
1208#121C22×D7311yescharacteristic
1209#121C22×D7311yescharacteristic
1210#121C22×D7311yescharacteristic
1211#121C22×D7311yescharacteristic
1212#121C22×D7311yescharacteristic
1213#121C22×D7311yescharacteristic
1214#120—21no—
1215#120—21no—
1216#120—21no—
1217#120—21no—
1218#120—21no—
1219#120—21no—
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×Q8—1461no—
1229C4×Q8C22×D7311yescharacteristic
1230C4×D4—21no—
1231C4×D4—21no—
1232C4×D4—21no—
1233C4×D4—21no—
1234C4×D4—21no—
1235C4×D4—21no—
1236C4×D4—21no—
1237C4×D4—21no—
1238C4×D4—21no—
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×D4C22×D7311yescharacteristic
1254C4×D4C22×D7311yescharacteristic
1255C4×D4C22×D7311yescharacteristic
1256C4×D4C22×D7311yescharacteristic
1257C4×D4C22×D7311yescharacteristic
1258C4×D4C22×D7311yescharacteristic
1259C4×D4C22×D7311yescharacteristic
1260C4×D4C22×D7311yescharacteristic
1261C4×D4C22×D7311yescharacteristic
1262C4×D4C22×D7311yescharacteristic
1263C4×D4C22×D7311yescharacteristic
1264C4×D4C22×D7311yescharacteristic
1265C4×D4C22×D7311yescharacteristic
1266#117—21no—
1267#117—731no—
1268#117—731no—
1269#117—1461no—
1270#117—1461no—
1271#117—1461no—
1272#117—1461no—
1273#117—1461no—
1274#117—1461no—
1275#117—1461no—
1276#117C22×D7311yescharacteristic
1277#117C22×D7311yescharacteristic
1278#117C22×D7311yescharacteristic
1279#117C22×D7311yescharacteristic
1280C2×C4⋊C4—21no—
1281C2×C4⋊C4—731no—
1282C2×C4⋊C4—1461no—
1283C2×C4⋊C4C22×D7311yescharacteristic
1284C2×C22⋊C4—21no—
1285C2×C22⋊C4—21no—
1286C2×C22⋊C4—21no—
1287C2×C22⋊C4—21no—
1288C2×C22⋊C4—21no—
1289C2×C42—1461no—
1290C2×C42C22×D7311yescharacteristic
1291#107—731no—
1292#107—731no—
1293#107—731no—
1294#107—731no—
1295#107—731no—
1296#107—731no—
1297#107—731no—
1298#107—731no—
1299#106—731no—
1300#106—731no—
1301#106—731no—
1302#106—731no—
1303#106—731no—
1304#106—731no—
1305#106—731no—
1306#106—731no—
1307C4⋊C8—731no—
1308C4⋊C8—731no—
1309C4⋊C8—731no—
1310C4⋊C8—731no—
1311C4⋊C8—731no—
1312C4⋊C8—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#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#102—731no—
1338#102—731no—
1339#102—731no—
1340#102—731no—
1341#102—731no—
1342#102—731no—
1343#102—731no—
1344#102—731no—
1345C22⋊C8—731no—
1346C22⋊C8—731no—
1347C22⋊C8—731no—
1348C22⋊C8—731no—
1349C22⋊C8—731no—
1350C22⋊C8—731no—
1351#97—731no—
1352#97—731no—
1353#97—731no—
1354#97—731no—
1355#97—731no—
1356#97—731no—
1357C4×C8—731no—
1358C4×C8—731no—
1359C4×C8—731no—
1360C4×C8—731no—
1361C24—21no—
1362C24—21no—
1363C24—21no—
1364#41—82no—
1365#41—82no—
1366#41—2921no—
1367#41—2921no—
1368#41—1462no—
1369#41—1462no—
1370C2×Q8—21no—
1371C2×Q8—2921no—
1372C2×Q8—731no—
1373C2×Q8—731no—
1374C2×Q8—1462no—
1375C2×Q8—1461no—
1376C2×Q8—1461no—
1377C2×Q8C2×C22⋊D7311yescharacteristic
1378C2×D4—22no—
1379C2×D4—22no—
1380C2×D4—22no—
1381C2×D4—21no—
1382C2×D4—21no—
1383C2×D4—21no—
1384C2×D4—21no—
1385C2×D4—21no—
1386C2×D4—21no—
1387C2×D4—21no—
1388C2×D4—21no—
1389C2×D4—21no—
1390C2×D4—21no—
1391C2×D4—21no—
1392C2×D4—21no—
1393C2×D4—21no—
1394C2×D4—21no—
1395C2×D4—21no—
1396C2×D4—41no—
1397C2×D4—41no—
1398C2×D4—41no—
1399C2×D4—82no—
1400C2×D4—82no—
1401C2×D4—82no—
1402C2×D4—731no—
1403C2×D4—731no—
1404C2×D4—1461no—
1405C2×D4—1461no—
1406C2×D4—1461no—
1407C2×D4—1461no—
1408C2×D4—1461no—
1409C2×D4—1461no—
1410C2×D4—1461no—
1411C2×D4—1461no—
1412C2×D4C2×C22⋊D7311yescharacteristic
1413C2×D4C2×C22⋊D7311yescharacteristic
1414C2×D4C2×C22⋊D7311yescharacteristic
1415C2×D4C23×D7311yescharacteristic
1416C2×D4C23×D7311yescharacteristic
1417C2×D4C23×D7311yescharacteristic
1418C2×D4C23×D7311yescharacteristic
1419C22×C4—21no—
1420C22×C4—21no—
1421C22×C4—21no—
1422C22×C4—21no—
1423C22×C4—21no—
1424C22×C4—21no—
1425C22×C4—21no—
1426C22×C4—21no—
1427C22×C4—21no—
1428C22×C4—21no—
1429C22×C4—21no—
1430C22×C4—82no—
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×C4C2×C22⋊D7311yescharacteristic
1440C22×C4C2×C22⋊D7311yescharacteristic
1441C22×C4C23×D7311yescharacteristic
1442C22×C4C23×D7311yescharacteristic
1443C22×C4C23×D7311yescharacteristic
1444SD16—2921no—
1445SD16—2921no—
1446SD16—734no—
1447SD16—1462no—
1448SD16—1462no—
1449SD16—1462no—
1450SD16—1462no—
1451SD16—1462no—
1452D8—2921no—
1453D8—2921no—
1454D8—2921no—
1455D8—2921no—
1456D8—1462no—
1457D8—1462no—
1458D8—1462no—
1459D8—1462no—
1460M16—2921no—
1461M16—2921no—
1462M16—1462no—
1463M16—1462no—
1464C2×C8—2921no—
1465C2×C8—731no—
1466C2×C8—731no—
1467C2×C8—731no—
1468C2×C8—731no—
1469C2×C8—731no—
1470C2×C8—731no—
1471C2×C8—731no—
1472C2×C8—731no—
1473C2×C8—1462no—
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—1461no—
1485C4⋊C4—1461no—
1486C4⋊C4—1461no—
1487C4⋊C4—1461no—
1488C4⋊C4—1461no—
1489C4⋊C4—1461no—
1490C4⋊C4—1461no—
1491C4⋊C4—1461no—
1492C4⋊C4—1461no—
1493C4⋊C4—1461no—
1494C4⋊C4—1461no—
1495C4⋊C4—1461no—
1496C4⋊C4—1461no—
1497C4⋊C4—1461no—
1498C4⋊C4C2×C22⋊D7311yescharacteristic
1499C4⋊C4C2×C22⋊D7311yescharacteristic
1500C4⋊C4C2×C22⋊D7311yescharacteristic
1501C4⋊C4C2×C22⋊D7311yescharacteristic
1502C4⋊C4C2×C22⋊D7311yescharacteristic
1503C4⋊C4C2×C22⋊D7311yescharacteristic
1504C4⋊C4C2×C22⋊D7311yescharacteristic
1505C4⋊C4C2×C22⋊D7311yescharacteristic
1506C4⋊C4C2×C22⋊D7311yescharacteristic
1507C4⋊C4C2×C22⋊D7311yescharacteristic
1508C4⋊C4C23×D7311yescharacteristic
1509C4⋊C4C23×D7311yescharacteristic
1510C4⋊C4C23×D7311yescharacteristic
1511C4⋊C4C23×D7311yescharacteristic
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—21no—
1521C22⋊C4—21no—
1522C22⋊C4—21no—
1523C22⋊C4—21no—
1524C22⋊C4—21no—
1525C22⋊C4—21no—
1526C22⋊C4—21no—
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
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⋊C4C2×C22⋊D7311yescharacteristic
1547C22⋊C4C2×C22⋊D7311yescharacteristic
1548C22⋊C4C2×C22⋊D7311yescharacteristic
1549C22⋊C4C2×C22⋊D7311yescharacteristic
1550C22⋊C4C2×C22⋊D7311yescharacteristic
1551C22⋊C4C2×C22⋊D7311yescharacteristic
1552C22⋊C4C2×C22⋊D7311yescharacteristic
1553C22⋊C4C2×C22⋊D7311yescharacteristic
1554C22⋊C4C2×C22⋊D7311yescharacteristic
1555C22⋊C4C2×C22⋊D7311yescharacteristic
1556C42—21no—
1557C42—21no—
1558C42—1461no—
1559C42—1461no—
1560C42—1461no—
1561C42—1461no—
1562C42—1461no—
1563C42—1461no—
1564C42—1461no—
1565C42—1461no—
1566C42C2×C22⋊D7311yescharacteristic
1567C42C2×C22⋊D7311yescharacteristic
1568C42C23×D7311yescharacteristic
1569C42C23×D7311yescharacteristic
1570C42C23×D7311yescharacteristic
1571C42C23×D7311yescharacteristic
1572C23—21no—
1573C23—21no—
1574C23—21no—
1575C23—21no—
1576C23—42no—
1577C23—42no—
1578C23—42no—
1579C23—42no—
1580C23—81no—
1581C23—81no—
1582C23—81no—
1583C23—81no—
1584C23—81no—
1585C23—1461no—
1586C23—1461no—
1587C23C22×C22⋊D7311yescharacteristic
1588C23C22×C22⋊D7311yescharacteristic
1589C23C22×C22⋊D7311yescharacteristic
1590Q8—41no—
1591Q8—81no—
1592Q8—2922no—
1593Q8—5841no—
1594Q8—732no—
1595Q8—1461no—
1596Q8—1461no—
1597Q8—1461no—
1598D4—21no—
1599D4—21no—
1600D4—21no—
1601D4—21no—
1602D4—21no—
1603D4—21no—
1604D4—21no—
1605D4—41no—
1606D4—41no—
1607D4—41no—
1608D4—42no—
1609D4—42no—
1610D4—42no—
1611D4—42no—
1612D4—42no—
1613D4—42no—
1614D4—81no—
1615D4—81no—
1616D4—81no—
1617D4—81no—
1618D4—81no—
1619D4—81no—
1620D4—81no—
1621D4—81no—
1622D4—81no—
1623D4—2922no—
1624D4—2922no—
1625D4—5841no—
1626D4—5841no—
1627D4—5841no—
1628D4—5841no—
1629D4—5841no—
1630D4—5841no—
1631D4—1461no—
1632D4—1461no—
1633D4—1461no—
1634D4—1461no—
1635D4#41×D7312yes—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—41no—
1647C2×C4—41no—
1648C2×C4—42no—
1649C2×C4—42no—
1650C2×C4—81no—
1651C2×C4—81no—
1652C2×C4—81no—
1653C2×C4—81no—
1654C2×C4—81no—
1655C2×C4—81no—
1656C2×C4—81no—
1657C2×C4—81no—
1658C2×C4—81no—
1659C2×C4—2922no—
1660C2×C4—2922no—
1661C2×C4—2922no—
1662C2×C4—5841no—
1663C2×C4—5841no—
1664C2×C4—5841no—
1665C2×C4—5841no—
1666C2×C4—5841no—
1667C2×C4—1461no—
1668C2×C4—1461no—
1669C2×C4—1461no—
1670C2×C4—1461no—
1671C2×C4—1461no—
1672C2×C4—1461no—
1673C2×C4C22×C22⋊D7311yescharacteristic
1674C2×C4C22×C22⋊D7311yescharacteristic
1675C2×C4C22×C22⋊D7311yescharacteristic
1676C2×C4C22×C22⋊D7311yescharacteristic
1677C2×C4C22×C22⋊D7311yescharacteristic
1678C2×C4C22×C22⋊D7311yescharacteristic
1679C2×C4C22×C22⋊D7311yescharacteristic
1680C2×C4C22×C22⋊D7311yescharacteristic
1681C2×C4C22×C22⋊D7311yescharacteristic
1682C2×C4C22×C22⋊D7311yescharacteristic
1683C2×C4C22×C22⋊D7311yescharacteristic
1684C2×C4C24×D7311yescharacteristic
1685C8—732no—
1686C8—1461no—
1687C8—1461no—
1688C8—1461no—
1689C8—1461no—
1690C8—1461no—
1691C8—1461no—
1692C8—1461no—
1693C22—21no—
1694C22—21no—
1695C22—21no—
1696C22—22no—
1697C22—21no—
1698C22—21no—
1699C22—21no—
1700C22—21no—
1701C22—21no—
1702C22—21no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—84no—
1715C22—162no—
1716C22—162no—
1717C22—2921no—
1718C22—2921no—
1719C22—2921no—
1720C22—2921no—
1721C22—2921no—
1722C22—2921no—
1723C22C23×C22⋊D7311yescharacteristic
1724C4—21no—
1725C4—21no—
1726C4—21no—
1727C4—21no—
1728C4—21no—
1729C4—21no—
1730C4—21no—
1731C4—21no—
1732C4—21no—
1733C4—21no—
1734C4—21no—
1735C4—41no—
1736C4—41no—
1737C4—41no—
1738C4—41no—
1739C4—2921no—
1740C4—2921no—
1741C4—2921no—
1742C4—2921no—
1743C4—2921no—
1744C4—1462no—
1745C4C2×#41×D7311yescharacteristic
1746C4#1798942311yescharacteristic
1747C2—41no—
1748C2—41no—
1749C2—41no—
1750C2—42no—
1751C2—81no—
1752C2—81no—
1753C2—81no—
1754C2—5841no—
1755C2—5841no—
1756C2#41×C22⋊D7311yescharacteristic
1757C2#2262471111yescharacteristic
1758C2#2262471111yescharacteristic
subgroupG/H
centerC22C23×C22⋊D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3519C2
socleC22×C73C23×D4
hypercenter#3519D73
hypocenterC73#61504
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ #529 ◁ #3519

Complements

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

NH ≅ G/Ntype
1. #22624036C2semidirect
2. #22622973C2semidirect
3. #22622876C2semidirect
4. #22622684C2semidirect
5. #22622656C2semidirect
6. #22622485C2semidirect
7. #22622431C2semidirect
8. #22622425C2semidirect
9. #22622178C2semidirect
10. #22622173C2semidirect
11. #22622111C2semidirect
12. #22622072C2semidirect
13. #22621952C2semidirect
14. #22621931C2semidirect
15. #22621547C2semidirect
16. #22621422C2semidirect
17. #22621422C2semidirect
18. #22620616C2semidirect
19. #22620575C2semidirect
20. #22620520C2semidirect
21. #22620217C2semidirect
22. #22620174C2semidirect
23. #22620124C2semidirect
24. #22620115C2semidirect
25. #22620076C2semidirect
26. #22620069C2semidirect
27. #22618918C2semidirect
28. #22618788C2semidirect
29. #22618763C2semidirect
30. C4×#14556617C2semidirect
31. C73×#3519C2semidirect
35. #17989322C22semidirect
37. #17989315C22semidirect
38. #17989302C22semidirect
40. #17989283C22semidirect
42. #17989277C22semidirect
44. #17989258C22semidirect
45. #17989246C22semidirect
46. #17989246C22semidirect
47. #17989208C22semidirect
49. #17989192C22semidirect
51. #17989121C22semidirect
54. #17989067C22semidirect
55. #17989064C22semidirect
56. C4×#11924028C22semidirect
57. #17988997C22semidirect
58. #17988993C22semidirect
59. #17988986C22semidirect
60. #17988974C22semidirect
61. #17988974C22semidirect
62. #17988963C22semidirect
63. #17988953C22semidirect
64. #17988951C22semidirect
65. #17988951C22semidirect
66. #17988949C22semidirect
67. #17988944C22semidirect
68. #17988933C22semidirect
69. #17988928C22semidirect
70. #17988917C22semidirect
71. #17988911C22semidirect
72. #17988911C22semidirect
73. #17988911C22semidirect
74. #17988908C22semidirect
75. #17988908C22semidirect
76. #17988908C22semidirect
77. #17988908C22semidirect
78. #17988903C22semidirect
79. #17988900C22semidirect
80. #17988898C22semidirect
81. #17988891C22semidirect
82. #17988891C22semidirect
83. #17988891C22semidirect
86. #17988887C22semidirect
87. #17988887C22semidirect
88. #17988884C22semidirect
90. #17988869C22semidirect
91. #17988867C22semidirect
92. #17988864C22semidirect
93. #17988838C22semidirect
94. #17988838C22semidirect
95. #17988838C22semidirect
96. #17988838C22semidirect
97. #17988838C22semidirect
98. #17988831C22semidirect
99. #17988831C22semidirect
100. #17988831C22semidirect
101. #17988821C22semidirect
102. #17988821C22semidirect
103. #17988821C22semidirect
104. #17988814C22semidirect
107. #17988802C22semidirect
108. #17988802C22semidirect
109. #17988784C22semidirect
110. #17988784C22semidirect
111. #17988784C22semidirect
112. #17988784C22semidirect
114. #17988782C22semidirect
115. #17988779C22semidirect
116. #17988779C22semidirect
119. #17988730C22semidirect
120. #17988730C22semidirect
121. #17988730C22semidirect
122. #17988730C22semidirect
123. #17988725C22semidirect
124. #17988725C22semidirect
129. #17988718C22semidirect
130. #17988718C22semidirect
133. #17988697C22semidirect
134. #17988697C22semidirect
135. #17988697C22semidirect
136. #17988697C22semidirect
137. #17988697C22semidirect
142. #17988687C22semidirect
143. #17988687C22semidirect
144. #17988687C22semidirect
145. #17988687C22semidirect
146. #17988687C22semidirect
149. C4×#11924016C22semidirect
150. C4×#11924016C22semidirect
151. C4×#11924016C22semidirect
152. C4×#11924016C22semidirect
153. C4×#11924016C22semidirect
156. C4×#11924013C22semidirect
157. C4×#11924013C22semidirect
158. C4×#11924013C22semidirect
159. #17988665C22semidirect
160. #17988665C22semidirect
161. #17988659C22semidirect
162. #17988659C22semidirect
163. #17988659C22semidirect
164. #17988659C22semidirect
165. #17988648C22semidirect
166. #17988648C22semidirect
167. #17988644C22semidirect
168. #17988630C22semidirect
169. #17988627C22semidirect
170. #17988623C22semidirect
171. #17988595C22semidirect
174. #17988586C22semidirect
175. #17988581C22semidirect
177. #17988543C22semidirect
178. #17988543C22semidirect
179. C4×#11924012C22semidirect
516. #11924016#41semidirect
881. #3519D73semidirect
911. C73#61504semidirect

Maximal subgroups

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

subgroupindex
#226240362
#226229732
#226228762
#226226842
#226226562
#226224852
#226224312
#226224252
#226221782
#226221732
#226221112
#226220722
#226219522
#226219312
#226215472
#226214222
#226206162
#226205752
#226205202
#226202172
#226201742
#226201242
#226201152
#226200762
#226200692
#226189182
#226187882
#226187632
C4×#145566172
C73×#35192
#6150473