Finite Group Databasebeta

← #33972544

Subgroups — #33972544

Order 18688.

2100 conjugacy classes of subgroups.

The subgroup lattice has 1902 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624224C211yesmaximal, characteristic, complemented
2#22622269C211yesmaximal, characteristic, complemented
3#22622199C211yesmaximal, characteristic, complemented
4#22622162C211yesmaximal, characteristic, complemented
5#22622132C211yesmaximal, characteristic, complemented
6#22622012C211yesmaximal, characteristic, complemented
7#22621997C211yesmaximal, characteristic, complemented
8#22621952C211yesmaximal, characteristic, complemented
9#22621937C211yesmaximal, characteristic, complemented
10#22621597C211yesmaximal, characteristic, complemented
11#22621584C211yesmaximal, characteristic, complemented
12#22621558C211yesmaximal, characteristic, complemented
13#22621527C211yesmaximal, characteristic, complemented
14#22621512C211yesmaximal, characteristic, complemented
15#22621487C211yesmaximal, characteristic, complemented
16#22621437C211yesmaximal, characteristic, complemented
17#22621422C211yesmaximal, characteristic, complemented
18#22621025C211yesmaximal, characteristic, complemented
19#22621003C211yesmaximal, characteristic, complemented
20#22620828C211yesmaximal, characteristic, complemented
21#22620807C211yesmaximal, characteristic, complemented
22#22620745C211yesmaximal, characteristic, complemented
23#22620737C211yesmaximal, characteristic, complemented
24#22620193C211yesmaximal, characteristic, complemented
25#22620145C211yesmaximal, characteristic, complemented
26#22619235C211yesmaximal, characteristic, complemented
27#22619208C211yesmaximal, characteristic, complemented
28#22619191C211yesmaximal, characteristic, complemented
29#22619173C211yesmaximal, characteristic, complemented
30#22618993C211yesmaximal, characteristic, complemented
31C73×#3488C211yesmaximal, characteristic, complemented
32C2×#14556622C2211yescharacteristic, complemented
33C2×#14556621C2211yescharacteristic, complemented
34C2×#14556621C2211yescharacteristic, complemented
35C2×#14556621C2211yescharacteristic, complemented
36C2×#14556617C2211yescharacteristic, complemented
37C2×#14556617C2211yescharacteristic, complemented
38C2×#14556611C2211yescharacteristic, complemented
39C22×#11924016C2211yescharacteristic, complemented
40#17989338—21no—
41#17989332—21no—
42#17989307C2211yescharacteristic, complemented
43#17989294C2211yescharacteristic, complemented
44#17989291—21no—
45#17989283C2211yescharacteristic, complemented
46#17989280—21no—
47#17989277C2211yescharacteristic, complemented
48D4×Dic146C2211yescharacteristic, complemented
49#17989246C2211yescharacteristic, complemented
50#17989246C2211yescharacteristic, complemented
51#17989242C2211yescharacteristic, complemented
52#17989208C2211yescharacteristic, complemented
53#17989205—21no—
54#17989199C2211yescharacteristic, complemented
55#17989180—21no—
56#17989172—21no—
57#17989172—21no—
58#17989165C2211yescharacteristic, complemented
59#17989158C2211yescharacteristic, complemented
60#17989098C2211yescharacteristic, complemented
61C2×#14556570C2211yescharacteristic, complemented
62#17988982C2211yescharacteristic, complemented
63#17988974C2211yescharacteristic, complemented
64#17988969C2211yescharacteristic, complemented
65#17988959C2211yescharacteristic, complemented
66#17988951C2211yescharacteristic, complemented
67#17988946C2211yescharacteristic, complemented
68#17988941C2211yescharacteristic, complemented
69#17988933C2211yescharacteristic, complemented
70#17988925C2211yescharacteristic, complemented
71#17988922C2211yescharacteristic, complemented
72#17988922C2211yescharacteristic, complemented
73#17988920C2211yescharacteristic, complemented
74#17988917C2211yescharacteristic, complemented
75#17988908C2211yescharacteristic, complemented
76#17988908C2211yescharacteristic, complemented
77#17988908C2211yescharacteristic, complemented
78#17988900C2211yescharacteristic, complemented
79#17988898C2211yescharacteristic, complemented
80#17988898C2211yescharacteristic, complemented
81#17988898C2211yescharacteristic, complemented
82#17988894C2211yescharacteristic, complemented
83#17988887C2211yescharacteristic, complemented
84#17988882C2211yescharacteristic, complemented
85#17988867C2211yescharacteristic, complemented
86#17988843C2211yescharacteristic, complemented
87#17988838C2211yescharacteristic, complemented
88#17988838C2211yescharacteristic, complemented
89#17988835C2211yescharacteristic, complemented
90#17988831C2211yescharacteristic, complemented
91#17988831C2211yescharacteristic, complemented
92#17988831C2211yescharacteristic, complemented
93#17988831C2211yescharacteristic, complemented
94#17988831C2211yescharacteristic, complemented
95#17988831C2211yescharacteristic, complemented
96#17988831C2211yescharacteristic, complemented
97#17988831C2211yescharacteristic, complemented
98#17988826C2211yescharacteristic, complemented
99#17988826C2211yescharacteristic, complemented
100#17988821C2211yescharacteristic, complemented
101#17988814C2211yescharacteristic, complemented
102#17988809C2211yescharacteristic, complemented
103#17988806C2211yescharacteristic, complemented
104#17988806C2211yescharacteristic, complemented
105#17988806C2211yescharacteristic, complemented
106#17988802C2211yescharacteristic, complemented
107#17988799C2211yescharacteristic, complemented
108#17988797C2211yescharacteristic, complemented
109#17988792C2211yescharacteristic, complemented
110#17988784C2211yescharacteristic, complemented
111#17988784C2211yescharacteristic, complemented
112#17988784C2211yescharacteristic, complemented
113#17988779C2211yescharacteristic, complemented
114#17988749C2211yescharacteristic
115#17988749C2211yescharacteristic
116#17988749C2211yescharacteristic
117#17988749C2211yescharacteristic, complemented
118#17988749C2211yescharacteristic, complemented
119#17988749C2211yescharacteristic, complemented
120#17988749C2211yescharacteristic, complemented
121#17988749C2211yescharacteristic, complemented
122#17988749C2211yescharacteristic, complemented
123#17988749C2211yescharacteristic, complemented
124#17988749C2211yescharacteristic, complemented
125#17988747C2211yescharacteristic, complemented
126#17988743C2211yescharacteristic, complemented
127#17988743C2211yescharacteristic, complemented
128#17988742C2211yescharacteristic, complemented
129#17988738C2211yescharacteristic, complemented
130#17988738C2211yescharacteristic, complemented
131#17988738C2211yescharacteristic, complemented
132#17988738C2211yescharacteristic, complemented
133#17988738C2211yescharacteristic, complemented
134#17988738C2211yescharacteristic, complemented
135#17988738C2211yescharacteristic, complemented
136#17988738C2211yescharacteristic, complemented
137#17988732C2211yescharacteristic
138#17988732C2211yescharacteristic, complemented
139#17988732C2211yescharacteristic, complemented
140#17988732C2211yescharacteristic, complemented
141#17988732C2211yescharacteristic, complemented
142#17988730C2211yescharacteristic, complemented
143#17988730C2211yescharacteristic, complemented
144#17988730C2211yescharacteristic, complemented
145#17988725C2211yescharacteristic, complemented
146#17988725C2211yescharacteristic, complemented
147#17988725C2211yescharacteristic, complemented
148#17988721C2211yescharacteristic, complemented
149#17988721C2211yescharacteristic, complemented
150#17988692C2211yescharacteristic, complemented
151#17988687C2211yescharacteristic, complemented
152#17988687C2211yescharacteristic, complemented
153#17988685C2211yescharacteristic, complemented
154C4×#11924018C2211yescharacteristic, complemented
155C4×#11924018C2211yescharacteristic, complemented
156C4×#11924016C2211yescharacteristic, complemented
157C4×#11924013C2211yescharacteristic, complemented
158#17988665C2211yescharacteristic, complemented
159#17988665C2211yescharacteristic, complemented
160#17988665C2211yescharacteristic, complemented
161#17988665C2211yescharacteristic, complemented
162#17988659C2211yescharacteristic, complemented
163#17988659C2211yescharacteristic, complemented
164#17988659C2211yescharacteristic, complemented
165#17988659C2211yescharacteristic, complemented
166#17988648C2211yescharacteristic, complemented
167#17988648C2211yescharacteristic, complemented
168#17988596C2211yescharacteristic, complemented
169#17988592C2211yescharacteristic, complemented
170#17988592C2211yescharacteristic, complemented
171#17988588C2211yescharacteristic, complemented
172#17988588C2211yescharacteristic, complemented
173#17988588C2211yescharacteristic, complemented
174#17988583C2211yescharacteristic, complemented
175C2×#14556512C2211yescharacteristic, complemented
176#17988554C2211yescharacteristic, complemented
177#17988554C2211yescharacteristic, complemented
178#17988551C2211yescharacteristic, complemented
179#17988551C2211yescharacteristic, complemented
180C2×H(5,𝔽2)×C73C2211yescharacteristic
181C22×#41×C73C2211yescharacteristic
182#550×C73C2211yescharacteristic
183#550×C73C2211yescharacteristic
184#548×C73C2211yescharacteristic
185#548×C73C2211yescharacteristic
186#546×C73—21no—
187#546×C73—21no—
188#546×C73C2211yescharacteristic
189#546×C73C2211yescharacteristic
190D42×C73—21no—
191D42×C73—21no—
192D42×C73C2211yescharacteristic
193D42×C73C2211yescharacteristic
194#537×C73—21no—
195#537×C73C2211yescharacteristic
196#535×C73—21no—
197#535×C73C2211yescharacteristic
198#525×C73—21no—
199#525×C73C2211yescharacteristic
200C2×#121×C73—21no—
201C2×#121×C73C2211yescharacteristic
202#520×C73C2211yescharacteristic
203C2×#11924028C2311yescharacteristic
204C2×#11924028C2311yescharacteristic
205C22×Dic146C2311yescharacteristic
206C22×Dic146C2311yescharacteristic
207#14556622—42no—
208#14556621—42no—
209#14556621—42no—
210#14556621—42no—
211#14556617—42no—
212#14556617—42no—
213#14556611—42no—
214C2×#11924018C2311yescharacteristic
215C2×#11924018C2311yescharacteristic
216C2×#11924018C2311yescharacteristic
217C2×#11924018C2311yescharacteristic
218C2×#11924018C2311yescharacteristic
219C2×#11924018C2311yescharacteristic
220C2×#11924016—42no—
221C2×#11924016C2311yescharacteristic
222C2×#11924016C2311yescharacteristic
223C2×#11924016C2311yescharacteristic
224C2×#11924016C2311yescharacteristic
225C2×#11924016C2311yescharacteristic
226C2×#11924016C2311yescharacteristic
227C2×#11924016C2311yescharacteristic
228C2×#11924016C2311yescharacteristic
229C2×#11924016C2311yescharacteristic
230C2×#11924016C2311yescharacteristic
231C2×#11924016C2311yescharacteristic
232C2×#11924016C2311yescharacteristic
233C2×#11924015C2311yescharacteristic
234C2×#11924015C2311yescharacteristic
235C2×#11924013C2311yescharacteristic
236C2×#11924013C2311yescharacteristic
237C2×#11924013C2311yescharacteristic
238C2×#11924013C2311yescharacteristic
239C2×#11924012C2311yescharacteristic
240C2×#11924012C2311yescharacteristic
241C2×#11924012C2311yescharacteristic
242C2×#11924012C2311yescharacteristic
243C2×#11924012C2311yescharacteristic
244C2×#11924012C2311yescharacteristic
245C22×#10596831C2311yescharacteristic
246C22×#10596831C2311yescharacteristic
247#14556591C2311yescharacteristic
248#14556591C2311yescharacteristic
249#14556590—21no—
250#14556589—21no—
251#14556586—21no—
252#14556586—21no—
253#14556584—21no—
254#14556584—21no—
255#14556584—21no—
256#14556584—21no—
257#14556584—21no—
258#14556583C2311yescharacteristic
259#14556582—21no—
260#14556581—21no—
261#14556581—21no—
262#14556581—21no—
263#14556579C2311yescharacteristic
264#14556578—21no—
265#14556578—21no—
266#14556577—21no—
267#14556577—21no—
268#14556577—21no—
269#14556574—21no—
270#14556573—21no—
271#14556573—21no—
272#14556573—21no—
273#14556573—21no—
274#14556572—21no—
275#14556572—21no—
276#14556572—21no—
277#14556570—21no—
278#14556570—21no—
279#14556570C2311yescharacteristic
280#14556570C2311yescharacteristic
281#14556570C2311yescharacteristic
282#14556570C2311yescharacteristic
283#14556570C2311yescharacteristic
284#14556570C2311yescharacteristic
285#14556570C2311yescharacteristic
286#14556570C2311yescharacteristic
287#14556570C2311yescharacteristic
288#14556569—21no—
289#14556569—21no—
290#14556569—21no—
291#14556568—21no—
292#14556568—21no—
293#14556568—21no—
294#14556568—21no—
295#14556567—21no—
296#14556565C2311yescharacteristic
297#14556565C2311yescharacteristic
298#14556565C2311yescharacteristic
299#14556563—21no—
300#14556563—21no—
301#14556563—21no—
302#14556563—21no—
303#14556563—21no—
304#14556562—21no—
305#14556562—21no—
306#14556560—21no—
307C4×Dic146C2311yescharacteristic
308C4×Dic146C2311yescharacteristic
309C4×Dic146C2311yescharacteristic
310#14556556—21no—
311C4×D292C2311yescharacteristic
312D4×Dic73—21no—
313D4×Dic73—21no—
314C4×C22⋊D73—21no—
315C4×C22⋊D73—21no—
316#14556551—21no—
317#14556551—21no—
318#14556551—21no—
319#14556550C2311yescharacteristic
320#14556550C2311yescharacteristic
321#14556547—21no—
322C2×C4⋊Dic73C2311yescharacteristic
323C2×C4⋊Dic73C2311yescharacteristic
324C2×#11924007—21no—
325C4⋊C4×D73—21no—
326C2×C22⋊Dic73—21no—
327#14556524C2311yescharacteristic
328#14556524C2311yescharacteristic
329#14556524C2311yescharacteristic
330#14556524C2311yescharacteristic
331#14556524C2311yescharacteristic
332#14556524C2311yescharacteristic
333#14556522C2311yescharacteristic
334#14556522C2311yescharacteristic
335C4⋊#10596831C2311yescharacteristic
336C4⋊#10596831C2311yescharacteristic
337C4⋊#10596831C2311yescharacteristic
338C4⋊#10596831C2311yescharacteristic
339#14556515C2311yescharacteristic
340#14556515C2311yescharacteristic
341#14556515C2311yescharacteristic
342#14556515C2311yescharacteristic
343#14556515C2311yescharacteristic
344#14556515C2311yescharacteristic
345#14556515C2311yescharacteristic
346#14556515C2311yescharacteristic
347#14556514C2311yescharacteristic
348#14556514C2311yescharacteristic
349#14556514C2311yescharacteristic
350#14556514C2311yescharacteristic
351#14556514C2311yescharacteristic
352#14556514C2311yescharacteristic
353#14556512C2311yescharacteristic
354#14556512C2311yescharacteristic
355#14556512C2311yescharacteristic
356#14556512C2311yescharacteristic
357#14556512C2311yescharacteristic
358#14556512C2311yescharacteristic
359#14556512C2311yescharacteristic
360#14556512C2311yescharacteristic
361#14556512C2311yescharacteristic
362#14556512C2311yescharacteristic
363#14556512C2311yescharacteristic
364#14556512C2311yescharacteristic
365#14556512C2311yescharacteristic
366#14556512C2311yescharacteristic
367#14556512C2311yescharacteristic
368#14556512C2311yescharacteristic
369#14556511C2311yescharacteristic
370#14556511C2311yescharacteristic
371C22⋊#10596831C2311yescharacteristic
372C22⋊#10596831C2311yescharacteristic
373C22⋊#10596831C2311yescharacteristic
374C22⋊#10596831C2311yescharacteristic
375C22⋊#10596831C2311yescharacteristic
376C22⋊#10596831C2311yescharacteristic
377C22⋊#10596831C2311yescharacteristic
378C22⋊#10596831C2311yescharacteristic
379C22⋊#10596831C2311yescharacteristic
380C22⋊#10596831C2311yescharacteristic
381C22⋊#10596831C2311yescharacteristic
382C22⋊#10596831C2311yescharacteristic
383#14556502C2311yescharacteristic
384#14556502C2311yescharacteristic
385C4×#10596831C2311yescharacteristic
386C4×#10596831C2311yescharacteristic
387H(5,𝔽2)×C73—42no—
388H(5,𝔽2)×C73—42no—
389C2×#41×C73—21no—
390C2×#41×C73—21no—
391C2×#41×C73—21no—
392C2×#41×C73—42no—
393C2×#41×C73—42no—
394C2×#41×C73C2311yescharacteristic
395C2×#41×C73C2311yescharacteristic
396C2×#41×C73C2311yescharacteristic
397C2×#41×C73C2311yescharacteristic
398C2×#41×C73C2311yescharacteristic
399C2×#41×C73C2311yescharacteristic
400C2×#41×C73C2311yescharacteristic
401C22×Q8×C73C2311yescharacteristic
402C22×D4×C73—21no—
403C22×D4×C73—21no—
404C22×D4×C73—21no—
405C22×D4×C73—21no—
406C22×D4×C73—21no—
407C22×D4×C73—21no—
408C22×D4×C73—21no—
409C22×D4×C73C2311yescharacteristic
410C22×D4×C73C2311yescharacteristic
411C22×D4×C73C2311yescharacteristic
412C22×D4×C73C2311yescharacteristic
413C23×C4×C73—21no—
414C23×C4×C73C2311yescharacteristic
415#127×C73—21no—
416#127×C73—21no—
417#127×C73C2311yescharacteristic
418#127×C73C2311yescharacteristic
419#124×C73—21no—
420#124×C73—21no—
421#124×C73C2311yescharacteristic
422#124×C73C2311yescharacteristic
423#123×C73—21no—
424#123×C73—21no—
425#123×C73D411yescharacteristic
426#123×C73D411yescharacteristic
427C22⋊Q8×C73—21no—
428C22⋊Q8×C73—21no—
429C22⋊Q8×C73—21no—
430C22⋊Q8×C73D411yescharacteristic
431C22⋊Q8×C73D411yescharacteristic
432C22⋊Q8×C73C2311yescharacteristic
433C22⋊Q8×C73C2311yescharacteristic
434#121×C73—21no—
435#121×C73—21no—
436#121×C73—21no—
437#121×C73—21no—
438#121×C73—21no—
439#121×C73—21no—
440#121×C73—21no—
441#121×C73—21no—
442#121×C73—21no—
443#121×C73—21no—
444#121×C73—21no—
445#121×C73—21no—
446#121×C73—21no—
447#121×C73—21no—
448#121×C73—21no—
449#121×C73—21no—
450#121×C73—21no—
451#121×C73D411yescharacteristic
452#121×C73D411yescharacteristic
453#121×C73C2311yescharacteristic
454#121×C73C2311yescharacteristic
455#121×C73C2311yescharacteristic
456#121×C73C2311yescharacteristic
457#121×C73C2311yescharacteristic
458#121×C73C2311yescharacteristic
459#120×C73—21no—
460#120×C73—21no—
461#120×C73—21no—
462#120×C73—21no—
463#120×C73—21no—
464#120×C73—21no—
465#120×C73—21no—
466#120×C73—21no—
467#120×C73D411yescharacteristic
468#120×C73D411yescharacteristic
469C4×Q8×C73C2311yescharacteristic
470C4×Q8×C73C2311yescharacteristic
471C4×D4×C73—21no—
472C4×D4×C73—21no—
473C4×D4×C73—21no—
474C4×D4×C73—21no—
475C4×D4×C73—21no—
476C4×D4×C73—21no—
477C4×D4×C73C2311yescharacteristic
478C4×D4×C73C2311yescharacteristic
479C4×D4×C73C2311yescharacteristic
480C4×D4×C73C2311yescharacteristic
481C4×D4×C73C2311yescharacteristic
482C4×D4×C73C2311yescharacteristic
483#117×C73—21no—
484#117×C73C2311yescharacteristic
485C2×C4⋊C4×C73—21no—
486C2×C4⋊C4×C73C2311yescharacteristic
487C2×C22⋊C4×C73—21no—
488C2×C22⋊C4×C73—21no—
489C2×C22⋊C4×C73—21no—
490#11924028—41no—
491#11924028—41no—
492#11924028—41no—
493#11924028—41no—
494C2×Dic146—21no—
495C2×Dic146—21no—
496C2×Dic146—21no—
497C2×Dic146—41no—
498C2×Dic146—41no—
499C2×Dic146—41no—
500C2×Dic146—41no—
501C2×Dic146C2411yescharacteristic
502C2×Dic146C2411yescharacteristic
503C2×Dic146C2411yescharacteristic
504C2×D292C2411yescharacteristic
505C2×C22⋊D73—21no—
506C2×C22⋊D73—21no—
507C2×C22⋊D73—21no—
508C2×C22⋊D73—21no—
509C2×C22⋊D73—21no—
510C22×Dic73—21no—
511C22×Dic73—21no—
512C22×Dic73—21no—
513C22×Dic73—21no—
514C2×C4×D73—21no—
515C2×C4×D73—21no—
516C2×C4×D73—21no—
517#11924018—22no—
518#11924018—22no—
519#11924018—22no—
520#11924018—41no—
521#11924018—41no—
522#11924018—41no—
523#11924016—22no—
524#11924016—22no—
525#11924016—22no—
526#11924016—41no—
527#11924016—41no—
528#11924016—41no—
529#11924016—41no—
530#11924016—41no—
531#11924016—41no—
532#11924016—41no—
533#11924016—41no—
534#11924016—41no—
535#11924015—22no—
536#11924015—41no—
537#11924013—22no—
538#11924013—41no—
539#11924013—41no—
540#11924013—41no—
541#11924012—41no—
542#11924012—41no—
543#11924012—41no—
544#11924012—41no—
545#11924012—41no—
546#11924012—41no—
547C2×#10596831—41no—
548C2×#10596831—41no—
549C2×#10596831C2411yescharacteristic
550C2×#10596831C2411yescharacteristic
551C2×#10596831C2411yescharacteristic
552C2×#10596831C2411yescharacteristic
553C2×#10596831C2411yescharacteristic
554C2×#10596831C2411yescharacteristic
555C2×#10596831C2411yescharacteristic
556C2×#10596831C2411yescharacteristic
557C4⋊Dic73—21no—
558C4⋊Dic73—21no—
559C4⋊Dic73—21no—
560C4⋊Dic73—21no—
561C4⋊Dic73—21no—
562C4⋊Dic73C2411yescharacteristic
563C4⋊Dic73C2411yescharacteristic
564C4⋊Dic73C2411yescharacteristic
565C4⋊Dic73C2411yescharacteristic
566#11924007—21no—
567#11924007—21no—
568#11924007—21no—
569#11924007—21no—
570#11924007—21no—
571#11924007—21no—
572#11924007—21no—
573#11924007—21no—
574#11924007—21no—
575#11924007—21no—
576#11924007—21no—
577#11924007—21no—
578#11924007—21no—
579#11924007—21no—
580C22⋊Dic73—21no—
581C22⋊Dic73—21no—
582C22⋊Dic73—21no—
583C22⋊Dic73—21no—
584C22⋊Dic73—21no—
585C22⋊Dic73—21no—
586C22⋊Dic73—21no—
587C22⋊Dic73—21no—
588C22⋊Dic73—21no—
589C22⋊Dic73—21no—
590C22⋊Dic73—21no—
591#11924005—21no—
592#11924005—21no—
593#11924005—21no—
594#11924005—21no—
595#11924005—21no—
596#11924005—21no—
597C4×Dic73—21no—
598C4×Dic73—21no—
599C4×Dic73—21no—
600C4×Dic73—21no—
601C4×Dic73—21no—
602C24×C73—21no—
603C24×C73—21no—
604C24×C73—21no—
605C24×C73—21no—
606C24×C73C2×D411yescharacteristic
607#41×C73—22no—
608#41×C73—22no—
609#41×C73—22no—
610#41×C73—22no—
611#41×C73—22no—
612#41×C73—22no—
613#41×C73—41no—
614#41×C73—41no—
615#41×C73—41no—
616#41×C73—41no—
617#41×C73—41no—
618#41×C73—41no—
619#41×C73—41no—
620#41×C73—41no—
621#41×C73—44no—
622#41×C73—44no—
623#41×C73—44no—
624C2×Q8×C73—21no—
625C2×Q8×C73—22no—
626C2×Q8×C73—41no—
627C2×Q8×C73C2×D411yescharacteristic
628C2×Q8×C73C2411yescharacteristic
629C2×Q8×C73C2411yescharacteristic
630C2×D4×C73—21no—
631C2×D4×C73—22no—
632C2×D4×C73—22no—
633C2×D4×C73—22no—
634C2×D4×C73—21no—
635C2×D4×C73—21no—
636C2×D4×C73—21no—
637C2×D4×C73—21no—
638C2×D4×C73—21no—
639C2×D4×C73—21no—
640C2×D4×C73—21no—
641C2×D4×C73—21no—
642C2×D4×C73—21no—
643C2×D4×C73—21no—
644C2×D4×C73—21no—
645C2×D4×C73—21no—
646C2×D4×C73—21no—
647C2×D4×C73—21no—
648C2×D4×C73—21no—
649C2×D4×C73—21no—
650C2×D4×C73—21no—
651C2×D4×C73—21no—
652C2×D4×C73—21no—
653C2×D4×C73—41no—
654C2×D4×C73—41no—
655C2×D4×C73—41no—
656C2×D4×C73—41no—
657C2×D4×C73—41no—
658C2×D4×C73—44no—
659C2×D4×C73—44no—
660C2×D4×C73—44no—
661C2×D4×C73—44no—
662C2×D4×C73—82no—
663C2×D4×C73—82no—
664C2×D4×C73—82no—
665C2×D4×C73C2×D411yescharacteristic
666C2×D4×C73C2×D411yescharacteristic
667C2×D4×C73C2×D411yescharacteristic
668C2×D4×C73C2×D411yescharacteristic
669C2×D4×C73C2×D411yescharacteristic
670C2×D4×C73C2×D411yescharacteristic
671C2×D4×C73C2×D411yescharacteristic
672C2×D4×C73C2411yescharacteristic
673C2×D4×C73C2411yescharacteristic
674C2×D4×C73C2411yescharacteristic
675C2×D4×C73C2411yescharacteristic
676C22×C4×C73—21no—
677C22×C4×C73—21no—
678C22×C4×C73—21no—
679C22×C4×C73—21no—
680C22×C4×C73—21no—
681C22×C4×C73—21no—
682C22×C4×C73—21no—
683C22×C4×C73—21no—
684C22×C4×C73—21no—
685C22×C4×C73—21no—
686C22×C4×C73—41no—
687C22×C4×C73—41no—
688C22×C4×C73—44no—
689C22×C4×C73C2×D411yescharacteristic
690C22×C4×C73C2×D411yescharacteristic
691C22×C4×C73C2×D411yescharacteristic
692C22×C4×C73C2411yescharacteristic
693C22×C4×C73C2411yescharacteristic
694C22×C4×C73C2411yescharacteristic
695C22×C4×C73C2411yescharacteristic
696C22×C4×C73C2411yescharacteristic
697C4⋊C4×C73—21no—
698C4⋊C4×C73—21no—
699C4⋊C4×C73—21no—
700C4⋊C4×C73—21no—
701C4⋊C4×C73—21no—
702C4⋊C4×C73C2×D411yescharacteristic
703C4⋊C4×C73C2×D411yescharacteristic
704C4⋊C4×C73C2×D411yescharacteristic
705C4⋊C4×C73C2×D411yescharacteristic
706C4⋊C4×C73C2×D411yescharacteristic
707C4⋊C4×C73C2×D411yescharacteristic
708C4⋊C4×C73C2411yescharacteristic
709C4⋊C4×C73C2411yescharacteristic
710C22⋊C4×C73—21no—
711C22⋊C4×C73—21no—
712C22⋊C4×C73—21no—
713C22⋊C4×C73—21no—
714C22⋊C4×C73—21no—
715C22⋊C4×C73—21no—
716C22⋊C4×C73—21no—
717C22⋊C4×C73—21no—
718C22⋊C4×C73—21no—
719C22⋊C4×C73—21no—
720C22⋊C4×C73—21no—
721C22⋊C4×C73—21no—
722C22⋊C4×C73—21no—
723C22⋊C4×C73—21no—
724C22⋊C4×C73C2×D411yescharacteristic
725C22⋊C4×C73C2×D411yescharacteristic
726C22⋊C4×C73C2×D411yescharacteristic
727C22⋊C4×C73C2×D411yescharacteristic
728C22⋊C4×C73C2×D411yescharacteristic
729C22⋊C4×C73C2×D411yescharacteristic
730C22⋊C4×C73C2×D411yescharacteristic
731C22⋊C4×C73C2×D411yescharacteristic
732C22⋊C4×C73C2×D411yescharacteristic
733C22⋊C4×C73C2×D411yescharacteristic
734C42×C73—21no—
735C42×C73—21no—
736C42×C73C2411yescharacteristic
737C42×C73C2411yescharacteristic
738C23×C73—21no—
739C23×C73—21no—
740C23×C73—21no—
741C23×C73—21no—
742C23×C73—41no—
743C23×C73—41no—
744C23×C73—41no—
745C23×C73—42no—
746C23×C73—42no—
747C23×C73—42no—
748C23×C73—42no—
749C23×C73—42no—
750C23×C73—81no—
751C23×C73—81no—
752C23×C73—81no—
753C23×C73—81no—
754C23×C73—81no—
755C23×C73—81no—
756C23×C73—81no—
757C23×C73C22×D411yescharacteristic
758C23×C73C22×D411yescharacteristic
759C23×C73C22×D411yescharacteristic
760C23×C73C22×D411yescharacteristic
761C23×C73C22×D411yescharacteristic
762C22×D73—21no—
763Q8×C73—21no—
764Q8×C73—21no—
765Q8×C73—21no—
766Q8×C73—41no—
767Q8×C73—42no—
768Q8×C73H(5,𝔽2)12yes—
769D4×C73—24no—
770D4×C73—21no—
771D4×C73—21no—
772D4×C73—21no—
773D4×C73—21no—
774D4×C73—21no—
775D4×C73—21no—
776D4×C73—21no—
777D4×C73—41no—
778D4×C73—41no—
779D4×C73—41no—
780D4×C73—41no—
781D4×C73—41no—
782D4×C73—41no—
783D4×C73—41no—
784D4×C73—42no—
785D4×C73—42no—
786D4×C73—42no—
787D4×C73—42no—
788D4×C73—42no—
789D4×C73—42no—
790D4×C73—42no—
791D4×C73—42no—
792D4×C73—42no—
793D4×C73—42no—
794D4×C73—42no—
795D4×C73—81no—
796D4×C73—81no—
797D4×C73—81no—
798D4×C73—81no—
799D4×C73—81no—
800D4×C73—81no—
801D4×C73—81no—
802D4×C73—81no—
803D4×C73H(5,𝔽2)12yes—
804C2×C4×C73—24no—
805C2×C4×C73—21no—
806C2×C4×C73—21no—
807C2×C4×C73—21no—
808C2×C4×C73—21no—
809C2×C4×C73—21no—
810C2×C4×C73—21no—
811C2×C4×C73—21no—
812C2×C4×C73—21no—
813C2×C4×C73—21no—
814C2×C4×C73—21no—
815C2×C4×C73—21no—
816C2×C4×C73—21no—
817C2×C4×C73—21no—
818C2×C4×C73—21no—
819C2×C4×C73—41no—
820C2×C4×C73—41no—
821C2×C4×C73—41no—
822C2×C4×C73—42no—
823C2×C4×C73—42no—
824C2×C4×C73—42no—
825C2×C4×C73—42no—
826C2×C4×C73—42no—
827C2×C4×C73—42no—
828C2×C4×C73—81no—
829C2×C4×C73—81no—
830C2×C4×C73—81no—
831C2×C4×C73C22×D411yescharacteristic
832C2×C4×C73C22×D411yescharacteristic
833C2×C4×C73C22×D411yescharacteristic
834C2×C4×C73C22×D411yescharacteristic
835C2×C4×C73C22×D411yescharacteristic
836C2×C4×C73C22×D411yescharacteristic
837C2×C4×C73C22×D411yescharacteristic
838C2×C4×C73C22×D411yescharacteristic
839C2×C4×C73C22×D411yescharacteristic
840C2×C4×C73C2511yescharacteristic
841C22⋊D73—42no—
842C22⋊D73—81no—
843C22⋊D73—81no—
844C22⋊D73—81no—
845C22⋊D73—81no—
846C2×Dic73—21no—
847C2×Dic73—21no—
848C2×Dic73—21no—
849C2×Dic73—21no—
850C2×Dic73—21no—
851C2×Dic73—21no—
852C2×Dic73—21no—
853C2×Dic73—81no—
854C2×Dic73—81no—
855C2×Dic73—81no—
856C2×Dic73—81no—
857D292—21no—
858D292—21no—
859C4×D73—81no—
860C4×D73—81no—
861C4×D73—81no—
862Dic146—21no—
863Dic146—21no—
864Dic146—21no—
865Dic146—21no—
866Dic146—21no—
867Dic146—21no—
868Dic146—81no—
869Dic146—81no—
870Dic146—81no—
871#10596831—21no—
872#10596831—21no—
873#10596831—21no—
874#10596831—21no—
875#10596831—21no—
876#10596831—21no—
877#10596831—21no—
878#10596831—21no—
879C22×C73—21no—
880C22×C73—21no—
881C22×C73—21no—
882C22×C73—21no—
883C22×C73—21no—
884C22×C73—21no—
885C22×C73—21no—
886C22×C73—21no—
887C22×C73—21no—
888C22×C73—21no—
889C22×C73—21no—
890C22×C73—21no—
891C22×C73—21no—
892C22×C73—21no—
893C22×C73—21no—
894C22×C73—22no—
895C22×C73—41no—
896C22×C73—41no—
897C22×C73—41no—
898C22×C73—41no—
899C22×C73—41no—
900C22×C73—41no—
901C22×C73—41no—
902C22×C73—41no—
903C22×C73—41no—
904C22×C73—41no—
905C22×C73—41no—
906C22×C73—82no—
907C22×C73—84no—
908C22×C73—162no—
909C22×C73—162no—
910C22×C73—162no—
911C22×C73C23×D411yescharacteristic
912C2×D73—41no—
913C2×D73—41no—
914C2×D73—41no—
915C4×C73—21no—
916C4×C73—21no—
917C4×C73—21no—
918C4×C73—21no—
919C4×C73—21no—
920C4×C73—21no—
921C4×C73—21no—
922C4×C73—21no—
923C4×C73—21no—
924C4×C73—22no—
925C4×C73—41no—
926C4×C73—41no—
927C4×C73—41no—
928C4×C73C2×H(5,𝔽2)11yescharacteristic
929C4×C73C2×H(5,𝔽2)11yescharacteristic
930Dic73—41no—
931Dic73—41no—
932Dic73—41no—
933Dic73—41no—
934Dic73—41no—
935Dic73—41no—
936Dic73—41no—
937#61654—731nomaximal, Sylow
938C2×C73—41no—
939C2×C73—41no—
940C2×C73—41no—
941C2×C73—41no—
942C2×C73—41no—
943C2×C73—42no—
944C2×C73—81no—
945C2×C73—81no—
946C2×C73—81no—
947C2×C73#348411yescharacteristic
948C2×C73#358511yescharacteristic
949C2×C73#358611yescharacteristic
950D73—81no—
951#3541—731no—
952#3488D7311yescharacteristic, complemented
953#3333—731no—
954#3327—731no—
955#3324—731no—
956#3322—731no—
957#3314—731no—
958#3313—731no—
959#3310—731no—
960#3309—731no—
961#3278—731no—
962#3277—731no—
963#3275—731no—
964#3272—731no—
965#3271—731no—
966#3269—731no—
967#3266—731no—
968#3265—731no—
969#3224—731no—
970#3222—731no—
971#3203—731no—
972#3201—731no—
973#3194—731no—
974#3193—731no—
975#3124—731no—
976#3120—731no—
977#3012—731no—
978#3009—731no—
979#3007—731no—
980#3005—731no—
981#2978—731no—
982C73#6165411yescharacteristic, complemented, Sylow
983C2×H(5,𝔽2)C2×D7311yescharacteristic
984C22×#41C2×D7311yescharacteristic
985C2×#137—731no—
986C2×#137—731no—
987C2×#137—731no—
988C2×#137—731no—
989C2×AGL(1,ℤ/8)—731no—
990C2×AGL(1,ℤ/8)—731no—
991C2×#135—731no—
992C22×SD16—731no—
993#563—1461no—
994#562—1461no—
995#556—731no—
996#554—731no—
997#554—1461no—
998#553—731no—
999#553—1461no—
1000#552—731no—
1001#550C2×D7311yescharacteristic
1002#550C2×D7311yescharacteristic
1003D4×Q8—731no—
1004#548—731no—
1005#548—731no—
1006#548C2×D7311yescharacteristic
1007#548C2×D7311yescharacteristic
1008#547—731no—
1009#546—21no—
1010#546—21no—
1011#546C2×D7311yescharacteristic
1012#546C2×D7311yescharacteristic
1013D42—21no—
1014D42—21no—
1015D42C2×D7311yescharacteristic
1016D42C2×D7311yescharacteristic
1017#542—731no—
1018#542—1461no—
1019#541—731no—
1020#539—1461no—
1021#538—1461no—
1022#538—1461no—
1023#537—21no—
1024#537—731no—
1025#537C2×D7311yescharacteristic
1026#536—731no—
1027#535—21no—
1028#535C2×D7311yescharacteristic
1029#525—21no—
1030#525—731no—
1031#525C2×D7311yescharacteristic
1032C2×C22⋊Q8—731no—
1033C2×#121—21no—
1034C2×#121C2×D7311yescharacteristic
1035#520C2×D7311yescharacteristic
1036#497—731no—
1037#496—731no—
1038#495—731no—
1039#492—731no—
1040#490—731no—
1041#489—731no—
1042#488—731no—
1043#486—731no—
1044#485—731no—
1045#484—731no—
1046#484—731no—
1047#484—731no—
1048#483—731no—
1049#482—731no—
1050#482—731no—
1051#482—731no—
1052#480—731no—
1053#480—731no—
1054#480—731no—
1055#480—731no—
1056#479—731no—
1057#478—731no—
1058#477—731no—
1059#474—731no—
1060#470—731no—
1061#469—731no—
1062#469—731no—
1063#468—731no—
1064#468—731no—
1065#468—731no—
1066#468—731no—
1067#468—731no—
1068#468—731no—
1069#468—731no—
1070#468—731no—
1071#468—731no—
1072#467—731no—
1073#467—731no—
1074#466—731no—
1075#465—731no—
1076#464—731no—
1077#464—731no—
1078#464—731no—
1079#464—731no—
1080#463—731no—
1081#463—731no—
1082#462—731no—
1083#461—731no—
1084#460—731no—
1085#460—731no—
1086#460—731no—
1087#459—731no—
1088#452—731no—
1089#452—731no—
1090#452—731no—
1091#452—731no—
1092#452—731no—
1093#452—731no—
1094#452—731no—
1095#452—731no—
1096#452—731no—
1097#452—731no—
1098#452—731no—
1099#452—731no—
1100#451—731no—
1101#451—731no—
1102#451—731no—
1103#450—731no—
1104#450—731no—
1105#450—731no—
1106#450—731no—
1107#450—731no—
1108#450—731no—
1109#450—731no—
1110#450—731no—
1111#449—731no—
1112#449—731no—
1113#449—731no—
1114#449—731no—
1115#449—731no—
1116#449—731no—
1117#449—731no—
1118#449—731no—
1119#448—731no—
1120#448—731no—
1121#448—731no—
1122#447—731no—
1123#447—731no—
1124#441—731no—
1125#440—731no—
1126#440—731no—
1127#440—731no—
1128C4×Q16—731no—
1129C4×Q16—731no—
1130C4×SD16—731no—
1131C4×D8—731no—
1132#436—731no—
1133#436—731no—
1134#436—731no—
1135#436—731no—
1136#435—731no—
1137#435—731no—
1138#435—731no—
1139#435—731no—
1140#433—731no—
1141#433—731no—
1142#419—731no—
1143#418—731no—
1144#418—731no—
1145#417—731no—
1146#417—731no—
1147#417—731no—
1148#416—731no—
1149C2×#102—731no—
1150#408—731no—
1151#408—731no—
1152#407—731no—
1153#407—731no—
1154H(5,𝔽2)—42no—
1155H(5,𝔽2)—42no—
1156C2×#41—21no—
1157C2×#41—21no—
1158C2×#41—21no—
1159C2×#41—42no—
1160C2×#41—42no—
1161C2×#41—731no—
1162C2×#41—731no—
1163C2×#41C22×D7311yescharacteristic
1164C2×#41C22×D7311yescharacteristic
1165C2×#41C22×D7311yescharacteristic
1166C2×#41C22×D7311yescharacteristic
1167C2×#41C22×D7311yescharacteristic
1168C2×#41C22×D7311yescharacteristic
1169C2×#41C22×D7311yescharacteristic
1170C22×Q8—731no—
1171C22×Q8—731no—
1172C22×Q8C22×D7311yescharacteristic
1173C22×D4—21no—
1174C22×D4—21no—
1175C22×D4—21no—
1176C22×D4—21no—
1177C22×D4—21no—
1178C22×D4—21no—
1179C22×D4—21no—
1180C22×D4C22×D7311yescharacteristic
1181C22×D4C22×D7311yescharacteristic
1182C22×D4C22×D7311yescharacteristic
1183C22×D4C22×D7311yescharacteristic
1184C23×C4—21no—
1185C23×C4C22×D7311yescharacteristic
1186#137—2922no—
1187#137—2922no—
1188#137—2922no—
1189#137—2922no—
1190AGL(1,ℤ/8)—2922no—
1191AGL(1,ℤ/8)—2922no—
1192#135—2922no—
1193C2×Q16—731no—
1194C2×Q16—731no—
1195C2×Q16—731no—
1196C2×Q16—731no—
1197C2×Q16—731no—
1198C2×Q16—731no—
1199C2×SD16—2922no—
1200C2×SD16—731no—
1201C2×SD16—731no—
1202C2×SD16—731no—
1203C2×SD16—731no—
1204C2×SD16—731no—
1205C2×SD16—731no—
1206C2×SD16—731no—
1207C2×SD16—731no—
1208C2×SD16—731no—
1209C2×SD16—731no—
1210C2×SD16—731no—
1211C2×SD16—731no—
1212C2×SD16—731no—
1213C2×SD16—731no—
1214C2×D8—731no—
1215C2×D8—731no—
1216C2×D8—731no—
1217C2×D8—731no—
1218C2×M16—731no—
1219C2×M16—731no—
1220C2×M16—731no—
1221C2×M16—731no—
1222C2×M16—731no—
1223C2×M16—731no—
1224C22×C8—731no—
1225C22×C8—731no—
1226C4⋊Q8—731no—
1227C4⋊Q8—731no—
1228C4⋊Q8—1461no—
1229C4⋊Q8—1461no—
1230#127—21no—
1231#127—21no—
1232#127C22×D7311yescharacteristic
1233#127C22×D7311yescharacteristic
1234#126—1461no—
1235#126—1461no—
1236#126—1461no—
1237#126—1461no—
1238#126—1461no—
1239#126—1461no—
1240#126—1461no—
1241#125—731no—
1242#125—1461no—
1243#125—1461no—
1244#125—1461no—
1245#125—1461no—
1246#124—21no—
1247#124—21no—
1248#124—731no—
1249#124—1461no—
1250#124—1461no—
1251#124—1461no—
1252#124—1461no—
1253#124—1461no—
1254#124C22×D7311yescharacteristic
1255#124C22×D7311yescharacteristic
1256#123—21no—
1257#123—21no—
1258#123—1461no—
1259#123—1461no—
1260#123—1461no—
1261#123—1461no—
1262#123—1461no—
1263#123—1461no—
1264#123—1461no—
1265#123—1461no—
1266#123C22⋊D7311yescharacteristic
1267#123C22⋊D7311yescharacteristic
1268C22⋊Q8—21no—
1269C22⋊Q8—21no—
1270C22⋊Q8—21no—
1271C22⋊Q8—731no—
1272C22⋊Q8—731no—
1273C22⋊Q8—731no—
1274C22⋊Q8—731no—
1275C22⋊Q8—731no—
1276C22⋊Q8—731no—
1277C22⋊Q8—731no—
1278C22⋊Q8—731no—
1279C22⋊Q8—731no—
1280C22⋊Q8—1461no—
1281C22⋊Q8—1461no—
1282C22⋊Q8—1461no—
1283C22⋊Q8—1461no—
1284C22⋊Q8—1461no—
1285C22⋊Q8—1461no—
1286C22⋊Q8—1461no—
1287C22⋊Q8—1461no—
1288C22⋊Q8—1461no—
1289C22⋊Q8—1461no—
1290C22⋊Q8C22⋊D7311yescharacteristic
1291C22⋊Q8C22⋊D7311yescharacteristic
1292C22⋊Q8C22×D7311yescharacteristic
1293C22⋊Q8C22×D7311yescharacteristic
1294#121—21no—
1295#121—21no—
1296#121—21no—
1297#121—21no—
1298#121—21no—
1299#121—21no—
1300#121—21no—
1301#121—21no—
1302#121—21no—
1303#121—21no—
1304#121—21no—
1305#121—21no—
1306#121—21no—
1307#121—21no—
1308#121—21no—
1309#121—21no—
1310#121—21no—
1311#121—731no—
1312#121—731no—
1313#121—731no—
1314#121—1461no—
1315#121—1461no—
1316#121—1461no—
1317#121—1461no—
1318#121—1461no—
1319#121—1461no—
1320#121—1461no—
1321#121C22⋊D7311yescharacteristic
1322#121C22⋊D7311yescharacteristic
1323#121C22×D7311yescharacteristic
1324#121C22×D7311yescharacteristic
1325#121C22×D7311yescharacteristic
1326#121C22×D7311yescharacteristic
1327#121C22×D7311yescharacteristic
1328#121C22×D7311yescharacteristic
1329#120—21no—
1330#120—21no—
1331#120—21no—
1332#120—21no—
1333#120—21no—
1334#120—21no—
1335#120—21no—
1336#120—21no—
1337#120—1461no—
1338#120C22⋊D7311yescharacteristic
1339#120C22⋊D7311yescharacteristic
1340C4×Q8—731no—
1341C4×Q8—731no—
1342C4×Q8—731no—
1343C4×Q8—1461no—
1344C4×Q8C22×D7311yescharacteristic
1345C4×Q8C22×D7311yescharacteristic
1346C4×D4—21no—
1347C4×D4—21no—
1348C4×D4—21no—
1349C4×D4—21no—
1350C4×D4—21no—
1351C4×D4—21no—
1352C4×D4—731no—
1353C4×D4—1461no—
1354C4×D4—1461no—
1355C4×D4—1461no—
1356C4×D4—1461no—
1357C4×D4—1461no—
1358C4×D4—1461no—
1359C4×D4—1461no—
1360C4×D4C22×D7311yescharacteristic
1361C4×D4C22×D7311yescharacteristic
1362C4×D4C22×D7311yescharacteristic
1363C4×D4C22×D7311yescharacteristic
1364C4×D4C22×D7311yescharacteristic
1365C4×D4C22×D7311yescharacteristic
1366#117—21no—
1367#117—731no—
1368#117—731no—
1369#117—1461no—
1370#117C22×D7311yescharacteristic
1371C2×C4⋊C4—21no—
1372C2×C4⋊C4—731no—
1373C2×C4⋊C4—731no—
1374C2×C4⋊C4—1461no—
1375C2×C4⋊C4—1461no—
1376C2×C4⋊C4C22×D7311yescharacteristic
1377C2×C22⋊C4—21no—
1378C2×C22⋊C4—21no—
1379C2×C22⋊C4—21no—
1380C2×C22⋊C4—1461no—
1381#107—731no—
1382#107—731no—
1383#107—731no—
1384#107—731no—
1385#107—731no—
1386#107—731no—
1387#106—731no—
1388#106—731no—
1389C4⋊C8—731no—
1390C4⋊C8—731no—
1391C4⋊C8—731no—
1392C4⋊C8—731no—
1393#103—731no—
1394#103—731no—
1395#103—731no—
1396#103—731no—
1397#103—731no—
1398#103—731no—
1399#103—731no—
1400#103—731no—
1401#103—731no—
1402#103—731no—
1403#103—731no—
1404#103—731no—
1405#103—731no—
1406#103—731no—
1407#102—731no—
1408#102—731no—
1409#102—731no—
1410#102—731no—
1411#102—731no—
1412#102—731no—
1413#102—731no—
1414#102—731no—
1415#102—731no—
1416#102—731no—
1417#102—731no—
1418#102—731no—
1419#102—731no—
1420#102—731no—
1421#102—731no—
1422#102—731no—
1423#102—731no—
1424#102—731no—
1425C22⋊C8—731no—
1426C22⋊C8—731no—
1427C22⋊C8—731no—
1428C22⋊C8—731no—
1429C22⋊C8—731no—
1430C22⋊C8—731no—
1431C22⋊C8—731no—
1432C22⋊C8—731no—
1433C22⋊C8—731no—
1434C22⋊C8—731no—
1435C22⋊C8—731no—
1436C22⋊C8—731no—
1437#97—731no—
1438#97—731no—
1439C4×C8—731no—
1440C4×C8—731no—
1441C24—21no—
1442C24—21no—
1443C24—21no—
1444C24—21no—
1445C24C2×C22⋊D7311yescharacteristic
1446#41—22no—
1447#41—22no—
1448#41—22no—
1449#41—22no—
1450#41—22no—
1451#41—22no—
1452#41—41no—
1453#41—41no—
1454#41—41no—
1455#41—41no—
1456#41—41no—
1457#41—41no—
1458#41—41no—
1459#41—41no—
1460#41—44no—
1461#41—44no—
1462#41—44no—
1463#41—2921no—
1464#41—2921no—
1465#41—2921no—
1466#41—2921no—
1467C2×Q8—21no—
1468C2×Q8—22no—
1469C2×Q8—41no—
1470C2×Q8—2921no—
1471C2×Q8—2921no—
1472C2×Q8—2921no—
1473C2×Q8—2921no—
1474C2×Q8—731no—
1475C2×Q8—731no—
1476C2×Q8—731no—
1477C2×Q8—1461no—
1478C2×Q8—1461no—
1479C2×Q8—1461no—
1480C2×Q8C2×C22⋊D7311yescharacteristic
1481C2×Q8C23×D7311yescharacteristic
1482C2×Q8C23×D7311yescharacteristic
1483C2×D4—21no—
1484C2×D4—22no—
1485C2×D4—22no—
1486C2×D4—22no—
1487C2×D4—21no—
1488C2×D4—21no—
1489C2×D4—21no—
1490C2×D4—21no—
1491C2×D4—21no—
1492C2×D4—21no—
1493C2×D4—21no—
1494C2×D4—21no—
1495C2×D4—21no—
1496C2×D4—21no—
1497C2×D4—21no—
1498C2×D4—21no—
1499C2×D4—21no—
1500C2×D4—21no—
1501C2×D4—21no—
1502C2×D4—21no—
1503C2×D4—21no—
1504C2×D4—21no—
1505C2×D4—21no—
1506C2×D4—41no—
1507C2×D4—41no—
1508C2×D4—41no—
1509C2×D4—41no—
1510C2×D4—41no—
1511C2×D4—44no—
1512C2×D4—44no—
1513C2×D4—44no—
1514C2×D4—44no—
1515C2×D4—82no—
1516C2×D4—82no—
1517C2×D4—82no—
1518C2×D4—731no—
1519C2×D4—1461no—
1520C2×D4—1461no—
1521C2×D4—1461no—
1522C2×D4—1461no—
1523C2×D4—1461no—
1524C2×D4C2×C22⋊D7311yescharacteristic
1525C2×D4C2×C22⋊D7311yescharacteristic
1526C2×D4C2×C22⋊D7311yescharacteristic
1527C2×D4C2×C22⋊D7311yescharacteristic
1528C2×D4C2×C22⋊D7311yescharacteristic
1529C2×D4C2×C22⋊D7311yescharacteristic
1530C2×D4C2×C22⋊D7311yescharacteristic
1531C2×D4C23×D7311yescharacteristic
1532C2×D4C23×D7311yescharacteristic
1533C2×D4C23×D7311yescharacteristic
1534C2×D4C23×D7311yescharacteristic
1535C22×C4—21no—
1536C22×C4—21no—
1537C22×C4—21no—
1538C22×C4—21no—
1539C22×C4—21no—
1540C22×C4—21no—
1541C22×C4—21no—
1542C22×C4—21no—
1543C22×C4—21no—
1544C22×C4—21no—
1545C22×C4—41no—
1546C22×C4—41no—
1547C22×C4—44no—
1548C22×C4—1461no—
1549C22×C4—1461no—
1550C22×C4—1461no—
1551C22×C4—1461no—
1552C22×C4—1461no—
1553C22×C4—1461no—
1554C22×C4—1461no—
1555C22×C4C2×C22⋊D7311yescharacteristic
1556C22×C4C2×C22⋊D7311yescharacteristic
1557C22×C4C2×C22⋊D7311yescharacteristic
1558C22×C4C23×D7311yescharacteristic
1559C22×C4C23×D7311yescharacteristic
1560C22×C4C23×D7311yescharacteristic
1561C22×C4C23×D7311yescharacteristic
1562C22×C4C23×D7311yescharacteristic
1563Q16—2921no—
1564Q16—2921no—
1565Q16—2921no—
1566Q16—1462no—
1567Q16—1462no—
1568Q16—1462no—
1569SD16—2921no—
1570SD16—2921no—
1571SD16—2921no—
1572SD16—2921no—
1573SD16—2921no—
1574SD16—2921no—
1575SD16—2921no—
1576SD16—2921no—
1577SD16—2921no—
1578SD16—2921no—
1579SD16—1462no—
1580SD16—1462no—
1581SD16—1462no—
1582SD16—1462no—
1583D8—2921no—
1584D8—2921no—
1585D8—2921no—
1586D8—1462no—
1587M16—2921no—
1588M16—2921no—
1589M16—2921no—
1590M16—2921no—
1591M16—2921no—
1592M16—2921no—
1593C2×C8—2921no—
1594C2×C8—2921no—
1595C2×C8—731no—
1596C2×C8—731no—
1597C2×C8—731no—
1598C2×C8—731no—
1599C2×C8—731no—
1600C2×C8—731no—
1601C2×C8—731no—
1602C2×C8—731no—
1603C4⋊C4—21no—
1604C4⋊C4—21no—
1605C4⋊C4—21no—
1606C4⋊C4—21no—
1607C4⋊C4—21no—
1608C4⋊C4—731no—
1609C4⋊C4—731no—
1610C4⋊C4—731no—
1611C4⋊C4—731no—
1612C4⋊C4—1461no—
1613C4⋊C4—1461no—
1614C4⋊C4—1461no—
1615C4⋊C4—1461no—
1616C4⋊C4—1461no—
1617C4⋊C4—1461no—
1618C4⋊C4—1461no—
1619C4⋊C4—1461no—
1620C4⋊C4—1461no—
1621C4⋊C4—1461no—
1622C4⋊C4—1461no—
1623C4⋊C4—1461no—
1624C4⋊C4—1461no—
1625C4⋊C4—1461no—
1626C4⋊C4—1461no—
1627C4⋊C4—1461no—
1628C4⋊C4—1461no—
1629C4⋊C4—1461no—
1630C4⋊C4—1461no—
1631C4⋊C4C2×C22⋊D7311yescharacteristic
1632C4⋊C4C2×C22⋊D7311yescharacteristic
1633C4⋊C4C2×C22⋊D7311yescharacteristic
1634C4⋊C4C2×C22⋊D7311yescharacteristic
1635C4⋊C4C2×C22⋊D7311yescharacteristic
1636C4⋊C4C2×C22⋊D7311yescharacteristic
1637C4⋊C4C23×D7311yescharacteristic
1638C4⋊C4C23×D7311yescharacteristic
1639C22⋊C4—21no—
1640C22⋊C4—21no—
1641C22⋊C4—21no—
1642C22⋊C4—21no—
1643C22⋊C4—21no—
1644C22⋊C4—21no—
1645C22⋊C4—21no—
1646C22⋊C4—21no—
1647C22⋊C4—21no—
1648C22⋊C4—21no—
1649C22⋊C4—21no—
1650C22⋊C4—21no—
1651C22⋊C4—21no—
1652C22⋊C4—21no—
1653C22⋊C4—1461no—
1654C22⋊C4—1461no—
1655C22⋊C4—1461no—
1656C22⋊C4—1461no—
1657C22⋊C4—1461no—
1658C22⋊C4—1461no—
1659C22⋊C4—1461no—
1660C22⋊C4—1461no—
1661C22⋊C4—1461no—
1662C22⋊C4—1461no—
1663C22⋊C4—1461no—
1664C22⋊C4—1461no—
1665C22⋊C4—1461no—
1666C22⋊C4—1461no—
1667C22⋊C4—1461no—
1668C22⋊C4—1461no—
1669C22⋊C4—1461no—
1670C22⋊C4C2×C22⋊D7311yescharacteristic
1671C22⋊C4C2×C22⋊D7311yescharacteristic
1672C22⋊C4C2×C22⋊D7311yescharacteristic
1673C22⋊C4C2×C22⋊D7311yescharacteristic
1674C22⋊C4C2×C22⋊D7311yescharacteristic
1675C22⋊C4C2×C22⋊D7311yescharacteristic
1676C22⋊C4C2×C22⋊D7311yescharacteristic
1677C22⋊C4C2×C22⋊D7311yescharacteristic
1678C22⋊C4C2×C22⋊D7311yescharacteristic
1679C22⋊C4C2×C22⋊D7311yescharacteristic
1680C42—21no—
1681C42—21no—
1682C42—1461no—
1683C42—1461no—
1684C42—1461no—
1685C42—1461no—
1686C42—1461no—
1687C42C23×D7311yescharacteristic
1688C42C23×D7311yescharacteristic
1689C23—21no—
1690C23—21no—
1691C23—21no—
1692C23—21no—
1693C23—41no—
1694C23—41no—
1695C23—41no—
1696C23—42no—
1697C23—42no—
1698C23—42no—
1699C23—42no—
1700C23—42no—
1701C23—81no—
1702C23—81no—
1703C23—81no—
1704C23—81no—
1705C23—81no—
1706C23—81no—
1707C23—81no—
1708C23—1461no—
1709C23C22×C22⋊D7311yescharacteristic
1710C23C22×C22⋊D7311yescharacteristic
1711C23C22×C22⋊D7311yescharacteristic
1712C23C22×C22⋊D7311yescharacteristic
1713C23C22×C22⋊D7311yescharacteristic
1714Q8—21no—
1715Q8—21no—
1716Q8—21no—
1717Q8—41no—
1718Q8—42no—
1719Q8—5841no—
1720Q8—5841no—
1721Q8—5841no—
1722Q8—1461no—
1723Q8—1461no—
1724Q8—1461no—
1725Q8—1461no—
1726Q8—1461no—
1727Q8—1461no—
1728Q8#1455663612yes—
1729D4—24no—
1730D4—21no—
1731D4—21no—
1732D4—21no—
1733D4—21no—
1734D4—21no—
1735D4—21no—
1736D4—21no—
1737D4—41no—
1738D4—41no—
1739D4—41no—
1740D4—41no—
1741D4—41no—
1742D4—41no—
1743D4—41no—
1744D4—42no—
1745D4—42no—
1746D4—42no—
1747D4—42no—
1748D4—42no—
1749D4—42no—
1750D4—42no—
1751D4—42no—
1752D4—42no—
1753D4—42no—
1754D4—42no—
1755D4—81no—
1756D4—81no—
1757D4—81no—
1758D4—81no—
1759D4—81no—
1760D4—81no—
1761D4—81no—
1762D4—81no—
1763D4—2922no—
1764D4—5841no—
1765D4—5841no—
1766D4—5841no—
1767D4—5841no—
1768D4—1461no—
1769D4—1461no—
1770D4#1455663612yes—
1771C2×C4—24no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—21no—
1777C2×C4—21no—
1778C2×C4—21no—
1779C2×C4—21no—
1780C2×C4—21no—
1781C2×C4—21no—
1782C2×C4—21no—
1783C2×C4—21no—
1784C2×C4—21no—
1785C2×C4—21no—
1786C2×C4—41no—
1787C2×C4—41no—
1788C2×C4—41no—
1789C2×C4—42no—
1790C2×C4—42no—
1791C2×C4—42no—
1792C2×C4—42no—
1793C2×C4—42no—
1794C2×C4—42no—
1795C2×C4—81no—
1796C2×C4—81no—
1797C2×C4—81no—
1798C2×C4—5841no—
1799C2×C4—5841no—
1800C2×C4—5841no—
1801C2×C4—5841no—
1802C2×C4—5841no—
1803C2×C4—5841no—
1804C2×C4—5841no—
1805C2×C4—1461no—
1806C2×C4—1461no—
1807C2×C4—1461no—
1808C2×C4—1461no—
1809C2×C4—1461no—
1810C2×C4—1461no—
1811C2×C4—1461no—
1812C2×C4C22×C22⋊D7311yescharacteristic
1813C2×C4C22×C22⋊D7311yescharacteristic
1814C2×C4C22×C22⋊D7311yescharacteristic
1815C2×C4C22×C22⋊D7311yescharacteristic
1816C2×C4C22×C22⋊D7311yescharacteristic
1817C2×C4C22×C22⋊D7311yescharacteristic
1818C2×C4C22×C22⋊D7311yescharacteristic
1819C2×C4C22×C22⋊D7311yescharacteristic
1820C2×C4C22×C22⋊D7311yescharacteristic
1821C2×C4C24×D7311yescharacteristic
1822C8—1461no—
1823C8—1461no—
1824C8—1461no—
1825C8—1461no—
1826C8—1461no—
1827C8—1461no—
1828C8—1461no—
1829C8—1461no—
1830C22—21no—
1831C22—21no—
1832C22—21no—
1833C22—22no—
1834C22—21no—
1835C22—21no—
1836C22—21no—
1837C22—21no—
1838C22—21no—
1839C22—21no—
1840C22—21no—
1841C22—21no—
1842C22—21no—
1843C22—21no—
1844C22—21no—
1845C22—21no—
1846C22—41no—
1847C22—41no—
1848C22—41no—
1849C22—41no—
1850C22—41no—
1851C22—41no—
1852C22—41no—
1853C22—41no—
1854C22—41no—
1855C22—41no—
1856C22—41no—
1857C22—82no—
1858C22—84no—
1859C22—162no—
1860C22—162no—
1861C22—162no—
1862C22—2921no—
1863C22—2921no—
1864C22—2921no—
1865C22C23×C22⋊D7311yescharacteristic
1866C4—21no—
1867C4—22no—
1868C4—21no—
1869C4—21no—
1870C4—21no—
1871C4—21no—
1872C4—21no—
1873C4—21no—
1874C4—21no—
1875C4—21no—
1876C4—41no—
1877C4—41no—
1878C4—41no—
1879C4—2921no—
1880C4—2921no—
1881C4—2921no—
1882C4—2921no—
1883C4—2921no—
1884C4—2921no—
1885C4—2921no—
1886C4C2×#1455663611yescharacteristic
1887C4C2×#1455663611yescharacteristic
1888C2—41no—
1889C2—41no—
1890C2—41no—
1891C2—41no—
1892C2—41no—
1893C2—42no—
1894C2—81no—
1895C2—81no—
1896C2—81no—
1897C2—5841no—
1898C2#2262356611yescharacteristic
1899C2#2262471111yescharacteristic
1900C2#2262471711yescharacteristic
subgroupG/H
centerC22C23×C22⋊D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3488C2
socleC22×C73C23×D4
hypercenter#3488D73
hypocenterC73#61654
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ #525 ◁ #3488

Complements

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

NH ≅ G/Ntype
1. #22624224C2semidirect
2. #22622269C2semidirect
3. #22622199C2semidirect
4. #22622162C2semidirect
5. #22622132C2semidirect
6. #22622012C2semidirect
7. #22621997C2semidirect
8. #22621952C2semidirect
9. #22621937C2semidirect
10. #22621597C2semidirect
11. #22621584C2semidirect
12. #22621558C2semidirect
13. #22621527C2semidirect
14. #22621512C2semidirect
15. #22621487C2semidirect
16. #22621437C2semidirect
17. #22621422C2semidirect
18. #22621025C2semidirect
19. #22621003C2semidirect
20. #22620828C2semidirect
21. #22620807C2semidirect
22. #22620745C2semidirect
23. #22620737C2semidirect
24. #22620193C2semidirect
25. #22620145C2semidirect
26. #22619235C2semidirect
27. #22619208C2semidirect
28. #22619191C2semidirect
29. #22619173C2semidirect
30. #22618993C2semidirect
31. C73×#3488C2semidirect
32. C2×#14556622C22semidirect
33. C2×#14556621C22semidirect
34. C2×#14556621C22semidirect
35. C2×#14556621C22semidirect
36. C2×#14556617C22semidirect
37. C2×#14556617C22semidirect
38. C2×#14556611C22semidirect
39. C22×#11924016C22semidirect
42. #17989307C22semidirect
43. #17989294C22semidirect
45. #17989283C22semidirect
47. #17989277C22semidirect
48. D4×Dic146C22semidirect
49. #17989246C22semidirect
50. #17989246C22semidirect
51. #17989242C22semidirect
52. #17989208C22semidirect
54. #17989199C22semidirect
58. #17989165C22semidirect
59. #17989158C22semidirect
60. #17989098C22semidirect
61. C2×#14556570C22semidirect
62. #17988982C22semidirect
63. #17988974C22semidirect
64. #17988969C22semidirect
65. #17988959C22semidirect
66. #17988951C22semidirect
67. #17988946C22semidirect
68. #17988941C22semidirect
69. #17988933C22semidirect
70. #17988925C22semidirect
71. #17988922C22semidirect
72. #17988922C22semidirect
73. #17988920C22semidirect
74. #17988917C22semidirect
75. #17988908C22semidirect
76. #17988908C22semidirect
77. #17988908C22semidirect
78. #17988900C22semidirect
79. #17988898C22semidirect
80. #17988898C22semidirect
81. #17988898C22semidirect
82. #17988894C22semidirect
83. #17988887C22semidirect
84. #17988882C22semidirect
85. #17988867C22semidirect
86. #17988843C22semidirect
87. #17988838C22semidirect
88. #17988838C22semidirect
89. #17988835C22semidirect
90. #17988831C22semidirect
91. #17988831C22semidirect
92. #17988831C22semidirect
93. #17988831C22semidirect
94. #17988831C22semidirect
95. #17988831C22semidirect
96. #17988831C22semidirect
97. #17988831C22semidirect
98. #17988826C22semidirect
99. #17988826C22semidirect
100. #17988821C22semidirect
101. #17988814C22semidirect
102. #17988809C22semidirect
103. #17988806C22semidirect
104. #17988806C22semidirect
105. #17988806C22semidirect
106. #17988802C22semidirect
107. #17988799C22semidirect
108. #17988797C22semidirect
109. #17988792C22semidirect
110. #17988784C22semidirect
111. #17988784C22semidirect
112. #17988784C22semidirect
113. #17988779C22semidirect
117. #17988749C22semidirect
118. #17988749C22semidirect
119. #17988749C22semidirect
120. #17988749C22semidirect
121. #17988749C22semidirect
122. #17988749C22semidirect
123. #17988749C22semidirect
124. #17988749C22semidirect
125. #17988747C22semidirect
126. #17988743C22semidirect
127. #17988743C22semidirect
128. #17988742C22semidirect
129. #17988738C22semidirect
130. #17988738C22semidirect
131. #17988738C22semidirect
132. #17988738C22semidirect
133. #17988738C22semidirect
134. #17988738C22semidirect
135. #17988738C22semidirect
136. #17988738C22semidirect
138. #17988732C22semidirect
139. #17988732C22semidirect
140. #17988732C22semidirect
141. #17988732C22semidirect
142. #17988730C22semidirect
143. #17988730C22semidirect
144. #17988730C22semidirect
145. #17988725C22semidirect
146. #17988725C22semidirect
147. #17988725C22semidirect
148. #17988721C22semidirect
149. #17988721C22semidirect
150. #17988692C22semidirect
151. #17988687C22semidirect
152. #17988687C22semidirect
153. #17988685C22semidirect
154. C4×#11924018C22semidirect
155. C4×#11924018C22semidirect
156. C4×#11924016C22semidirect
157. C4×#11924013C22semidirect
158. #17988665C22semidirect
159. #17988665C22semidirect
160. #17988665C22semidirect
161. #17988665C22semidirect
162. #17988659C22semidirect
163. #17988659C22semidirect
164. #17988659C22semidirect
165. #17988659C22semidirect
166. #17988648C22semidirect
167. #17988648C22semidirect
168. #17988596C22semidirect
169. #17988592C22semidirect
170. #17988592C22semidirect
171. #17988588C22semidirect
172. #17988588C22semidirect
173. #17988588C22semidirect
174. #17988583C22semidirect
175. C2×#14556512C22semidirect
176. #17988554C22semidirect
177. #17988554C22semidirect
178. #17988551C22semidirect
179. #17988551C22semidirect
952. #3488D73semidirect
982. C73#61654semidirect

Maximal subgroups

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

subgroupindex
#226242242
#226222692
#226221992
#226221622
#226221322
#226220122
#226219972
#226219522
#226219372
#226215972
#226215842
#226215582
#226215272
#226215122
#226214872
#226214372
#226214222
#226210252
#226210032
#226208282
#226208072
#226207452
#226207372
#226201932
#226201452
#226192352
#226192082
#226191912
#226191732
#226189932
C73×#34882
#6165473