Finite Group Databasebeta

← #33970585

Subgroups — #33970585

Order 18688.

1940 conjugacy classes of subgroups.

The subgroup lattice has 1790 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623953C211yesmaximal, characteristic, complemented
2#22623931C211yesmaximal, characteristic, complemented
3#22622905C211yesmaximal, characteristic, complemented
4#22622807C211yesmaximal, characteristic, complemented
5#22622661C211yesmaximal, characteristic, complemented
6#22622639C211yesmaximal, characteristic, complemented
7#22622538C211yesmaximal, characteristic, complemented
8#22622533C211yesmaximal, characteristic, complemented
9#22622522C211yesmaximal, characteristic, complemented
10#22622077C211yesmaximal, characteristic, complemented
11#22622068C211yesmaximal, characteristic, complemented
12#22621942C211yesmaximal, characteristic, complemented
13#22621933C211yesmaximal, characteristic, complemented
14#22621877C211yesmaximal, characteristic, complemented
15#22621740C211yesmaximal, characteristic, complemented
16#22621552C211yesmaximal, characteristic, complemented
17#22621545C211yesmaximal, characteristic, complemented
18#22621545C211yesmaximal, characteristic, complemented
19#22620666C211yesmaximal, characteristic, complemented
20#22620581C211yesmaximal, characteristic, complemented
21#22620579C211yesmaximal, characteristic, complemented
22#22620174C211yesmaximal, characteristic, complemented
23#22620171C211yesmaximal, characteristic, complemented
24#22620136C211yesmaximal, characteristic, complemented
25#22620130C211yesmaximal, characteristic, complemented
26#22619989C211yesmaximal, characteristic, complemented
27#22619929C211yesmaximal, characteristic, complemented
28#22618931C211yesmaximal, characteristic, complemented
29#22618762C211yesmaximal, characteristic, complemented
30#22618736C211yesmaximal, characteristic, complemented
31C73×#2946C211yesmaximal, characteristic, complemented
32C2×#14556618C2211yescharacteristic
33C2×#14556618C2211yescharacteristic
34#17989313C2211yescharacteristic, complemented
35#17989300C2211yescharacteristic
36#17989296C2211yescharacteristic
37#17989287—21no—
38#17989287C2211yescharacteristic
39#17989287C2211yescharacteristic, complemented
40#17989286—21no—
41#17989285—21no—
42#17989285C2211yescharacteristic, complemented
43#17989281C2211yescharacteristic
44#17989259C2211yescharacteristic, complemented
45#17989258—21no—
46#17989258C2211yescharacteristic
47#17989258C2211yescharacteristic, complemented
48#17989256C2211yescharacteristic, complemented
49#17989256C2211yescharacteristic, complemented
50#17989238—21no—
51#17989238C2211yescharacteristic, complemented
52#17989233—21no—
53#17989227—21no—
54#17989227—21no—
55D4×D292C2211yescharacteristic
56D4×C22⋊D73C2211yescharacteristic
57D4×C22⋊D73C2211yescharacteristic
58#17989192—21no—
59#17989192C2211yescharacteristic
60#17989192C2211yescharacteristic, complemented
61#17989188—21no—
62#17989188C2211yescharacteristic
63#17989188C2211yescharacteristic, complemented
64#17989175—21no—
65#17989170—21no—
66#17989134—21no—
67#17989134C2211yescharacteristic
68#17989134C2211yescharacteristic, complemented
69#17989115—21no—
70#17989115C2211yescharacteristic
71#17989096—21no—
72C2×#14556564—21no—
73#17989069C2211yescharacteristic, complemented
74#17989059C2211yescharacteristic
75C4×#11924029C2211yescharacteristic, complemented
76C4×D4×D73C2211yescharacteristic
77#17988989C2211yescharacteristic, complemented
78#17988987C2211yescharacteristic, complemented
79#17988984C2211yescharacteristic, complemented
80#17988964C2211yescharacteristic, complemented
81#17988962C2211yescharacteristic, complemented
82#17988962C2211yescharacteristic, complemented
83#17988952C2211yescharacteristic, complemented
84#17988952C2211yescharacteristic, complemented
85#17988950C2211yescharacteristic, complemented
86#17988950C2211yescharacteristic, complemented
87#17988932C2211yescharacteristic, complemented
88#17988932C2211yescharacteristic, complemented
89#17988914C2211yescharacteristic, complemented
90#17988913C2211yescharacteristic, complemented
91#17988911C2211yescharacteristic, complemented
92#17988911C2211yescharacteristic, complemented
93#17988909C2211yescharacteristic, complemented
94#17988909C2211yescharacteristic, complemented
95#17988907C2211yescharacteristic, complemented
96#17988905C2211yescharacteristic, complemented
97#17988902C2211yescharacteristic, complemented
98#17988900C2211yescharacteristic, complemented
99#17988899C2211yescharacteristic, complemented
100#17988899C2211yescharacteristic, complemented
101#17988896C2211yescharacteristic, complemented
102#17988894C2211yescharacteristic, complemented
103#17988890C2211yescharacteristic, complemented
104#17988887C2211yescharacteristic
105#17988887C2211yescharacteristic, complemented
106#17988887C2211yescharacteristic, complemented
107#17988886C2211yescharacteristic, complemented
108#17988885C2211yescharacteristic
109#17988880C2211yescharacteristic, complemented
110#17988876C2211yescharacteristic, complemented
111#17988866C2211yescharacteristic, complemented
112#17988865C2211yescharacteristic
113#17988841C2211yescharacteristic, complemented
114#17988841C2211yescharacteristic, complemented
115#17988840C2211yescharacteristic, complemented
116#17988840C2211yescharacteristic, complemented
117#17988839C2211yescharacteristic, complemented
118#17988839C2211yescharacteristic, complemented
119#17988837C2211yescharacteristic, complemented
120#17988837C2211yescharacteristic, complemented
121#17988823C2211yescharacteristic, complemented
122#17988823C2211yescharacteristic, complemented
123#17988822C2211yescharacteristic, complemented
124#17988822C2211yescharacteristic, complemented
125#17988787C2211yescharacteristic, complemented
126#17988785C2211yescharacteristic, complemented
127#17988785C2211yescharacteristic, complemented
128#17988782C2211yescharacteristic
129#17988782C2211yescharacteristic, complemented
130#17988782C2211yescharacteristic, complemented
131#17988781C2211yescharacteristic, complemented
132#17988781C2211yescharacteristic, complemented
133#17988781C2211yescharacteristic, complemented
134#17988781C2211yescharacteristic, complemented
135#17988780C2211yescharacteristic
136#17988780C2211yescharacteristic
137#17988735C2211yescharacteristic, complemented
138#17988735C2211yescharacteristic, complemented
139#17988732C2211yescharacteristic, complemented
140#17988732C2211yescharacteristic, complemented
141#17988731C2211yescharacteristic, complemented
142#17988731C2211yescharacteristic, complemented
143#17988722C2211yescharacteristic
144#17988722C2211yescharacteristic
145#17988721C2211yescharacteristic
146#17988721C2211yescharacteristic
147#17988719C2211yescharacteristic
148#17988719C2211yescharacteristic
149#17988715C2211yescharacteristic, complemented
150C8×Dic146C2211yescharacteristic, complemented
151#17988700C2211yescharacteristic, complemented
152#17988700C2211yescharacteristic, complemented
153#17988697C2211yescharacteristic
154#17988697C2211yescharacteristic, complemented
155#17988697C2211yescharacteristic, complemented
156#17988696C2211yescharacteristic
157#17988690C2211yescharacteristic, complemented
158#17988685C2211yescharacteristic, complemented
159SD16×Dic73C2211yescharacteristic
160SD16×Dic73C2211yescharacteristic
161C4×#11924015C2211yescharacteristic, complemented
162#17988672C2211yescharacteristic, complemented
163C4×D584C2211yescharacteristic, complemented
164C4×D584C2211yescharacteristic, complemented
165#17988669C2211yescharacteristic, complemented
166#17988669C2211yescharacteristic, complemented
167C4×#11924013C2211yescharacteristic
168C4×#11924013C2211yescharacteristic, complemented
169C4×#11924013C2211yescharacteristic, complemented
170#17988667C2211yescharacteristic
171#17988666C2211yescharacteristic, complemented
172#17988663C2211yescharacteristic, complemented
173#17988663C2211yescharacteristic, complemented
174#17988660C2211yescharacteristic, complemented
175#17988658C2211yescharacteristic, complemented
176C8×C22⋊D73C2211yescharacteristic, complemented
177#17988648C2211yescharacteristic, complemented
178#17988646C2211yescharacteristic, complemented
179#17988638C2211yescharacteristic, complemented
180#17988628C2211yescharacteristic, complemented
181#17988628C2211yescharacteristic, complemented
182#17988590C2211yescharacteristic
183#17988587C2211yescharacteristic, complemented
184#17988582C2211yescharacteristic, complemented
185#102×D73C2211yescharacteristic
186#17988544C2211yescharacteristic, complemented
187#17988539C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C73C2211yescharacteristic
189#520×C73C2211yescharacteristic, complemented
190#518×C73C2211yescharacteristic
191#442×C73C2211yescharacteristic
192#442×C73C2211yescharacteristic, complemented
193#440×C73C2211yescharacteristic
194#440×C73C2211yescharacteristic, complemented
195C4×SD16×C73C2211yescharacteristic
196C4×SD16×C73C2211yescharacteristic, complemented
197C4×D8×C73C2211yescharacteristic
198C4×D8×C73C2211yescharacteristic, complemented
199#428×C73C2211yescharacteristic, complemented
200#416×C73C2211yescharacteristic, complemented
201C2×#102×C73C2211yescharacteristic
202#405×C73C2211yescharacteristic, complemented
203C2×#11924029C2311yescharacteristic
204C2×#11924029C2311yescharacteristic
205C2×#11924028—21no—
206C2×#11924028—21no—
207C2×#11924028—21no—
208C2×#11924028—21no—
209C2×#11924028—21no—
210C22×D292—21no—
211C22×C22⋊D73—21no—
212C22×C22⋊D73—21no—
213C2×D4×D73C2311yescharacteristic
214C2×D4×D73C2311yescharacteristic
215C22×C4×D73—21no—
216#14556618—24no—
217#14556618—24no—
218C2×#11924015C2311yescharacteristic
219C2×#11924015C2311yescharacteristic
220C2×D584C2311yescharacteristic
221C2×D584C2311yescharacteristic
222C2×D584C2311yescharacteristic
223C2×D584C2311yescharacteristic
224C2×#11924013C2311yescharacteristic
225C2×#11924013C2311yescharacteristic
226C2×#11924013C2311yescharacteristic
227C2×#11924013C2311yescharacteristic
228C2×#11924013C2311yescharacteristic
229C2×#11924013C2311yescharacteristic
230C2×#11924011C2311yescharacteristic
231C2×#11924011C2311yescharacteristic
232C2×#11924011C2311yescharacteristic
233C2×C8×D73C2311yescharacteristic
234#14556590—21no—
235#14556590C2311yescharacteristic
236#14556590C2311yescharacteristic
237#14556588—21no—
238#14556588C2311yescharacteristic
239#14556588C2311yescharacteristic
240#14556587—21no—
241#14556587—21no—
242#14556587C2311yescharacteristic
243#14556587C2311yescharacteristic
244#14556587C2311yescharacteristic
245#14556587C2311yescharacteristic
246#14556586—21no—
247#14556586D411yescharacteristic
248#14556585—21no—
249#14556584—21no—
250#14556584—21no—
251#14556584D411yescharacteristic
252#14556583—21no—
253#14556583C2311yescharacteristic
254#14556583C2311yescharacteristic
255#14556582—21no—
256#14556582C2311yescharacteristic
257#14556582C2311yescharacteristic
258#14556581D411yescharacteristic
259#14556579—21no—
260#14556577—21no—
261#14556577—21no—
262#14556577—21no—
263#14556577D411yescharacteristic
264#14556576—21no—
265#14556576—21no—
266#14556576—21no—
267#14556576—21no—
268#14556576—21no—
269#14556576—21no—
270#14556576D411yescharacteristic
271#14556574—21no—
272#14556574—21no—
273#14556574—21no—
274#14556574—21no—
275#14556574—21no—
276#14556573—21no—
277#14556573—21no—
278#14556573—21no—
279#14556573D411yescharacteristic
280#14556570—21no—
281#14556569—21no—
282#14556569D411yescharacteristic
283#14556568—21no—
284#14556568—21no—
285#14556566—21no—
286#14556566—21no—
287#14556566C2311yescharacteristic
288#14556566C2311yescharacteristic
289#14556566C2311yescharacteristic
290#14556566C2311yescharacteristic
291#14556565—21no—
292#14556565—21no—
293#14556565—21no—
294#14556565—21no—
295#14556565—21no—
296#14556565—21no—
297#14556565—21no—
298#14556565—21no—
299#14556565C2311yescharacteristic
300#14556565C2311yescharacteristic
301#14556565C2311yescharacteristic
302#14556565C2311yescharacteristic
303#14556564—21no—
304#14556564—21no—
305#14556564—21no—
306#14556564—21no—
307#14556564—21no—
308#14556564—21no—
309#14556564—21no—
310#14556564—21no—
311#14556564—21no—
312#14556564—21no—
313#14556564—21no—
314#14556564—21no—
315#14556564—21no—
316#14556564—21no—
317#14556564—21no—
318#14556564—21no—
319#14556564D411yescharacteristic
320#14556563—21no—
321#14556563—21no—
322#14556562—21no—
323#14556562—21no—
324#14556562C2311yescharacteristic
325#14556562C2311yescharacteristic
326#14556562C2311yescharacteristic
327#14556562C2311yescharacteristic
328#14556561—21no—
329#14556561—21no—
330#14556560—21no—
331#14556560—21no—
332#14556559—21no—
333#14556559—21no—
334Q8×Dic73C2311yescharacteristic
335Q8×Dic73C2311yescharacteristic
336C4×Dic146—21no—
337C4×Dic146C2311yescharacteristic
338C4×D292—21no—
339C4×D292—21no—
340C4×D292—21no—
341C4×D292—21no—
342C4×D292C2311yescharacteristic
343C4×D292C2311yescharacteristic
344C4×D292C2311yescharacteristic
345C4×D292C2311yescharacteristic
346C4×D292C2311yescharacteristic
347D4×Dic73C2311yescharacteristic
348D4×Dic73C2311yescharacteristic
349#14556553—21no—
350#14556553—21no—
351#14556553C2311yescharacteristic
352#14556553C2311yescharacteristic
353#14556553C2311yescharacteristic
354#14556553C2311yescharacteristic
355C4×C22⋊D73—21no—
356C4×C22⋊D73—21no—
357C4×C22⋊D73—21no—
358C4×C22⋊D73—21no—
359C4×C22⋊D73—21no—
360C4×C22⋊D73—21no—
361C4×C22⋊D73—21no—
362C4×C22⋊D73—21no—
363C4×C22⋊D73—21no—
364C4×C22⋊D73C2311yescharacteristic
365C4×C22⋊D73C2311yescharacteristic
366#14556551—21no—
367#14556551—21no—
368#14556549—21no—
369#14556549C2311yescharacteristic
370#14556549C2311yescharacteristic
371#14556548—21no—
372#14556548—21no—
373#14556548C2311yescharacteristic
374C2×#11924007—21no—
375C4⋊C4×D73—21no—
376C4⋊C4×D73C2311yescharacteristic
377C4⋊C4×D73C2311yescharacteristic
378C2×#11924005—21no—
379C22⋊C4×D73—21no—
380C22⋊C4×D73—21no—
381C42×D73—21no—
382C42×D73C2311yescharacteristic
383#14556525C2311yescharacteristic
384#14556525C2311yescharacteristic
385#14556524C2311yescharacteristic
386#14556524C2311yescharacteristic
387#14556524C2311yescharacteristic
388#14556524C2311yescharacteristic
389#14556523C2311yescharacteristic
390#14556523C2311yescharacteristic
391#14556522C2311yescharacteristic
392#14556522C2311yescharacteristic
393#14556522C2311yescharacteristic
394#14556522C2311yescharacteristic
395C4⋊#10596831C2311yescharacteristic
396C4⋊#10596831C2311yescharacteristic
397#14556520C2311yescharacteristic
398#14556520C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556515C2311yescharacteristic
402#14556515C2311yescharacteristic
403#14556513C2311yescharacteristic
404#14556513C2311yescharacteristic
405#14556513C2311yescharacteristic
406#14556513C2311yescharacteristic
407#14556513C2311yescharacteristic
408#14556513C2311yescharacteristic
409#14556513C2311yescharacteristic
410#14556513C2311yescharacteristic
411#14556512C2311yescharacteristic
412#14556512C2311yescharacteristic
413#14556512C2311yescharacteristic
414#14556512C2311yescharacteristic
415#14556512C2311yescharacteristic
416#14556512C2311yescharacteristic
417#14556511C2311yescharacteristic
418#14556511C2311yescharacteristic
419#14556511C2311yescharacteristic
420#14556511C2311yescharacteristic
421#14556511C2311yescharacteristic
422#14556511C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425C22⋊#10596831C2311yescharacteristic
426C22⋊#10596831C2311yescharacteristic
427#14556503C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556503C2311yescharacteristic
430#14556503C2311yescharacteristic
431#14556502C2311yescharacteristic
432#14556501C2311yescharacteristic
433C4×#10596831C2311yescharacteristic
434C8×Dic73C2311yescharacteristic
435C8×Dic73C2311yescharacteristic
436C8×Dic73C2311yescharacteristic
437C2×#41×C73C2311yescharacteristic
438C22×D4×C73C2311yescharacteristic
439AGL(1,ℤ/8)×C73—24no—
440C2×SD16×C73C2311yescharacteristic
441C2×SD16×C73C2311yescharacteristic
442C2×D8×C73C2311yescharacteristic
443C2×D8×C73C2311yescharacteristic
444C2×M16×C73C2311yescharacteristic
445C22×C8×C73C2311yescharacteristic
446C4×Q8×C73C2311yescharacteristic
447C4×Q8×C73C2311yescharacteristic
448C4×D4×C73—21no—
449C4×D4×C73—21no—
450C4×D4×C73—21no—
451C4×D4×C73—21no—
452C4×D4×C73C2311yescharacteristic
453C4×D4×C73C2311yescharacteristic
454C4×D4×C73C2311yescharacteristic
455C4×D4×C73C2311yescharacteristic
456C4×D4×C73C2311yescharacteristic
457C4×D4×C73C2311yescharacteristic
458#117×C73—21no—
459#117×C73C2311yescharacteristic
460#117×C73C2311yescharacteristic
461C2×C4⋊C4×C73—21no—
462C2×C4⋊C4×C73C2311yescharacteristic
463C2×C22⋊C4×C73—21no—
464C2×C22⋊C4×C73—21no—
465#107×C73C2311yescharacteristic
466#107×C73C2311yescharacteristic
467#106×C73C2311yescharacteristic
468#106×C73C2311yescharacteristic
469#103×C73C2311yescharacteristic
470#103×C73C2311yescharacteristic
471#102×C73C2311yescharacteristic
472#102×C73C2311yescharacteristic
473#102×C73C2311yescharacteristic
474#102×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#97×C73C2311yescharacteristic
478#97×C73C2311yescharacteristic
479C4×C8×C73C2311yescharacteristic
480C4×C8×C73C2311yescharacteristic
481C23×D73—21no—
482C23×D73—21no—
483#11924029—22no—
484#11924029—22no—
485#11924029—41no—
486#11924029—41no—
487#11924028—82no—
488#11924028—82no—
489#11924028—82no—
490#11924028—82no—
491#11924028—82no—
492C2×Dic146—21no—
493C2×Dic146—21no—
494C2×Dic146C2×D411yescharacteristic
495C2×D292—21no—
496C2×D292—21no—
497C2×D292—21no—
498C2×D292—21no—
499C2×D292—21no—
500C2×D292—21no—
501C2×D292—21no—
502C2×D292—21no—
503C2×D292—21no—
504C2×D292—21no—
505C2×D292—82no—
506C2×D292C2×D411yescharacteristic
507C2×D292C2411yescharacteristic
508C2×D292C2411yescharacteristic
509C2×D292C2411yescharacteristic
510C2×D292C2411yescharacteristic
511C2×C22⋊D73—21no—
512C2×C22⋊D73—21no—
513C2×C22⋊D73—21no—
514C2×C22⋊D73—21no—
515C2×C22⋊D73—21no—
516C2×C22⋊D73—21no—
517C2×C22⋊D73—21no—
518C2×C22⋊D73—21no—
519C2×C22⋊D73—21no—
520C2×C22⋊D73—21no—
521C2×C22⋊D73—21no—
522C2×C22⋊D73—21no—
523C2×C22⋊D73—21no—
524C2×C22⋊D73—21no—
525C2×C22⋊D73—21no—
526C2×C22⋊D73—21no—
527C2×C22⋊D73—21no—
528C2×C22⋊D73—21no—
529C2×C22⋊D73—82no—
530C2×C22⋊D73—82no—
531C2×C22⋊D73C2×D411yescharacteristic
532C2×C22⋊D73C2×D411yescharacteristic
533D4×D73—22no—
534D4×D73—22no—
535D4×D73—41no—
536D4×D73—41no—
537C22×Dic73—21no—
538C22×Dic73—21no—
539C2×C4×D73—21no—
540C2×C4×D73—21no—
541C2×C4×D73—21no—
542C2×C4×D73—21no—
543C2×C4×D73—21no—
544C2×C4×D73—21no—
545C2×C4×D73—21no—
546C2×C4×D73—21no—
547C2×C4×D73—21no—
548C2×C4×D73—21no—
549C2×C4×D73—21no—
550C2×C4×D73—21no—
551C2×C4×D73—82no—
552C2×C4×D73C2×D411yescharacteristic
553C2×C4×D73C2×D411yescharacteristic
554C2×C4×D73C2411yescharacteristic
555C2×C4×D73C2411yescharacteristic
556#11924015—22no—
557#11924015—22no—
558D584—22no—
559D584—22no—
560D584—41no—
561D584—41no—
562#11924013—22no—
563#11924013—22no—
564#11924013—41no—
565#11924013—41no—
566#11924013—41no—
567#11924013—41no—
568#11924011—22no—
569#11924011—22no—
570#11924011—41no—
571C2×#10596831C2411yescharacteristic
572C2×#10596831C2411yescharacteristic
573C2×#10596831C2411yescharacteristic
574C2×#10596831C2411yescharacteristic
575C8×D73—41no—
576C4⋊Dic73—21no—
577C4⋊Dic73—21no—
578C4⋊Dic73—21no—
579C4⋊Dic73—21no—
580C4⋊Dic73C2×D411yescharacteristic
581C4⋊Dic73C2×D411yescharacteristic
582C4⋊Dic73C2411yescharacteristic
583C4⋊Dic73C2411yescharacteristic
584C4⋊Dic73C2411yescharacteristic
585C4⋊Dic73C2411yescharacteristic
586#11924007—21no—
587#11924007—21no—
588#11924007—21no—
589#11924007—21no—
590#11924007—21no—
591#11924007—21no—
592#11924007—21no—
593#11924007—21no—
594#11924007—21no—
595#11924007—21no—
596#11924007C2×D411yescharacteristic
597#11924007C2×D411yescharacteristic
598#11924007C2×D411yescharacteristic
599#11924007C2×D411yescharacteristic
600#11924007C2×D411yescharacteristic
601#11924007C2×D411yescharacteristic
602C22⋊Dic73—21no—
603C22⋊Dic73—21no—
604C22⋊Dic73—21no—
605C22⋊Dic73—21no—
606C22⋊Dic73—21no—
607C22⋊Dic73—21no—
608C22⋊Dic73C2×D411yescharacteristic
609C22⋊Dic73C2×D411yescharacteristic
610#11924005—21no—
611#11924005—21no—
612#11924005—21no—
613#11924005—21no—
614#11924005—21no—
615#11924005—21no—
616#11924005—21no—
617#11924005—21no—
618#11924005—21no—
619#11924005—21no—
620#11924005—21no—
621#11924005—21no—
622#11924005—21no—
623#11924005—21no—
624#11924005—21no—
625#11924005—21no—
626#11924005—21no—
627#11924005—21no—
628#11924005C2×D411yescharacteristic
629#11924005C2×D411yescharacteristic
630#11924005C2×D411yescharacteristic
631#11924005C2×D411yescharacteristic
632#11924005C2×D411yescharacteristic
633#11924005C2×D411yescharacteristic
634C4×Dic73—21no—
635C4×Dic73—21no—
636C4×Dic73—21no—
637C4×Dic73—21no—
638C4×Dic73C2×D411yescharacteristic
639C4×Dic73C2×D411yescharacteristic
640C4×Dic73C2411yescharacteristic
641C4×Dic73C2411yescharacteristic
642C24×C73—21no—
643#41×C73—22no—
644#41×C73—41no—
645C2×Q8×C73C2411yescharacteristic
646C2×D4×C73—22no—
647C2×D4×C73—21no—
648C2×D4×C73—21no—
649C2×D4×C73—41no—
650C2×D4×C73C2411yescharacteristic
651C2×D4×C73C2411yescharacteristic
652C2×D4×C73C2411yescharacteristic
653C22×C4×C73—21no—
654C22×C4×C73—21no—
655C22×C4×C73—21no—
656C22×C4×C73—21no—
657C22×C4×C73—21no—
658C22×C4×C73—21no—
659C22×C4×C73—21no—
660C22×C4×C73—21no—
661C22×C4×C73C2411yescharacteristic
662SD16×C73—22no—
663SD16×C73#4114yescomplemented
664D8×C73—22no—
665D8×C73—22no—
666M16×C73—22no—
667C2×C8×C73—41no—
668C2×C8×C73C2411yescharacteristic
669C2×C8×C73C2411yescharacteristic
670C2×C8×C73C2411yescharacteristic
671C2×C8×C73C2411yescharacteristic
672C4⋊C4×C73—21no—
673C4⋊C4×C73—21no—
674C4⋊C4×C73—21no—
675C4⋊C4×C73C2×D411yescharacteristic
676C4⋊C4×C73C2×D411yescharacteristic
677C4⋊C4×C73C2411yescharacteristic
678C4⋊C4×C73C2411yescharacteristic
679C4⋊C4×C73C2411yescharacteristic
680C4⋊C4×C73C2411yescharacteristic
681C22⋊C4×C73—21no—
682C22⋊C4×C73—21no—
683C22⋊C4×C73—21no—
684C22⋊C4×C73—21no—
685C22⋊C4×C73—21no—
686C22⋊C4×C73—21no—
687C22⋊C4×C73—21no—
688C22⋊C4×C73C2×D411yescharacteristic
689C22⋊C4×C73C2×D411yescharacteristic
690C42×C73—21no—
691C42×C73—21no—
692C42×C73—21no—
693C42×C73C2411yescharacteristic
694C42×C73C2411yescharacteristic
695C23×C73—21no—
696C23×C73—21no—
697C23×C73—21no—
698C23×C73—42no—
699C23×C73—81no—
700C23×C73—81no—
701C23×C73C22×D411yescharacteristic
702C22×D73—21no—
703C22×D73—21no—
704C22×D73—21no—
705C22×D73—21no—
706C22×D73—42no—
707C22×D73—42no—
708C22×D73—42no—
709C22×D73—81no—
710C22×D73—81no—
711C22×D73—81no—
712C22×D73C22×D411yescharacteristic
713C22×D73C22×D411yescharacteristic
714Q8×C73—21no—
715Q8×C73C2×#4112yes—
716D4×C73—21no—
717D4×C73—21no—
718D4×C73—21no—
719D4×C73—21no—
720D4×C73—21no—
721D4×C73—42no—
722D4×C73—42no—
723D4×C73C2×#4112yes—
724C2×C4×C73—21no—
725C2×C4×C73—21no—
726C2×C4×C73—21no—
727C2×C4×C73—21no—
728C2×C4×C73—21no—
729C2×C4×C73—21no—
730C2×C4×C73—21no—
731C2×C4×C73—42no—
732C2×C4×C73—81no—
733C2×C4×C73—81no—
734C2×C4×C73—81no—
735C2×C4×C73—81no—
736C2×C4×C73—81no—
737C2×C4×C73—81no—
738C2×C4×C73—81no—
739C2×C4×C73C22×D411yescharacteristic
740C2×C4×C73C22×D411yescharacteristic
741C2×C4×C73C22×D411yescharacteristic
742C2×C4×C73C22×D411yescharacteristic
743C2×C4×C73C22×D411yescharacteristic
744C2×C4×C73C2511yescharacteristic
745C22⋊D73—22no—
746C22⋊D73—41no—
747C22⋊D73—42no—
748C22⋊D73—42no—
749C22⋊D73—42no—
750C22⋊D73—42no—
751C22⋊D73—42no—
752C22⋊D73—81no—
753C22⋊D73—81no—
754C22⋊D73—81no—
755C22⋊D73—81no—
756C22⋊D73—81no—
757C22⋊D73—81no—
758C22⋊D73—81no—
759C22⋊D73—81no—
760C22⋊D73—81no—
761C22⋊D73—81no—
762C22⋊D73—81no—
763C22⋊D73—81no—
764C22⋊D73—81no—
765C2×Dic73—21no—
766C2×Dic73—21no—
767C2×Dic73—21no—
768C2×Dic73—21no—
769C2×Dic73—42no—
770C2×Dic73—81no—
771C2×Dic73C22×D411yescharacteristic
772C2×Dic73C22×D411yescharacteristic
773C2×Dic73C22×D411yescharacteristic
774C2×Dic73C22×D411yescharacteristic
775C2×Dic73C22×D411yescharacteristic
776C2×Dic73C22×D411yescharacteristic
777D292—21no—
778D292—21no—
779D292—21no—
780D292—21no—
781D292—21no—
782D292—21no—
783D292—21no—
784D292—21no—
785D292—41no—
786D292—42no—
787D292—42no—
788D292—42no—
789D292—81no—
790D292—81no—
791D292—81no—
792D292—81no—
793D292—81no—
794D292—81no—
795D292—81no—
796C4×D73—21no—
797C4×D73—21no—
798C4×D73—21no—
799C4×D73—21no—
800C4×D73—22no—
801C4×D73—41no—
802C4×D73—42no—
803C4×D73—42no—
804C4×D73—42no—
805C4×D73—42no—
806C4×D73—81no—
807C4×D73—81no—
808C4×D73—81no—
809C4×D73—81no—
810C4×D73—81no—
811C4×D73—81no—
812C4×D73—81no—
813C4×D73—81no—
814Dic146—22no—
815Dic146—42no—
816Dic146—81no—
817C8×C73—21no—
818C8×C73—21no—
819C8×C73—21no—
820C8×C73C2×#4112yes—
821#10596831—21no—
822#10596831—21no—
823#10596831—21no—
824#10596831—21no—
825C22×C73—21no—
826C22×C73—22no—
827C22×C73—21no—
828C22×C73—21no—
829C22×C73—41no—
830C22×C73—41no—
831C22×C73—41no—
832C22×C73—41no—
833C22×C73—41no—
834C22×C73—41no—
835C22×C73—41no—
836C22×C73—41no—
837C22×C73—162no—
838C22×C73C23×D411yescharacteristic
839C2×D73—21no—
840C2×D73—21no—
841C2×D73—21no—
842C2×D73—21no—
843C2×D73—21no—
844C2×D73—21no—
845C2×D73—41no—
846C2×D73—41no—
847C2×D73—41no—
848C2×D73—41no—
849C2×D73—41no—
850C2×D73—41no—
851C2×D73—41no—
852C2×D73—41no—
853C2×D73—41no—
854C2×D73—41no—
855C2×D73—41no—
856C2×D73—41no—
857C2×D73—84no—
858C2×D73—162no—
859C4×C73—21no—
860C4×C73—21no—
861C4×C73—22no—
862C4×C73—21no—
863C4×C73—21no—
864C4×C73—21no—
865C4×C73—41no—
866C4×C73—41no—
867C4×C73—41no—
868C4×C73—41no—
869C4×C73C22×#4111yescharacteristic
870C4×C73#58511yescharacteristic
871Dic73—21no—
872Dic73—21no—
873Dic73—21no—
874Dic73—21no—
875Dic73—21no—
876Dic73—41no—
877Dic73—41no—
878Dic73—41no—
879Dic73—41no—
880Dic73#57612yes—
881#61555—731nomaximal, Sylow
882C2×C73—42no—
883C2×C73—41no—
884C2×C73—81no—
885C2×C73—81no—
886C2×C73D4×#4111yescharacteristic
887C2×C73C2×#57611yescharacteristic
888C2×C73#358511yescharacteristic
889D73—41no—
890D73—41no—
891D73—81no—
892D73—81no—
893D73—81no—
894D73—81no—
895#3519—731no—
896#3517—731no—
897#3391—731no—
898#3381—731no—
899#3368—731no—
900#3366—731no—
901#3355—731no—
902#3355—731no—
903#3354—731no—
904#3318—731no—
905#3318—731no—
906#3309—731no—
907#3309—731no—
908#3305—731no—
909#3294—731no—
910#3274—731no—
911#3274—731no—
912#3274—731no—
913#3184—731no—
914#3176—731no—
915#3176—731no—
916#3122—731no—
917#3122—731no—
918#3119—731no—
919#3119—731no—
920#3106—731no—
921#3100—731no—
922#2969—731no—
923#2946—731no—
924#2946D7311yescharacteristic, complemented
925C4×AGL(1,ℤ/8)—731no—
926C73#6155511yescharacteristic, complemented, Sylow
927C2×AGL(1,ℤ/8)—731no—
928C2×AGL(1,ℤ/8)—731no—
929C2×AGL(1,ℤ/8)C2×D7311yescharacteristic
930#557—731no—
931#555—731no—
932#554—731no—
933#553—731no—
934#553—731no—
935#553—731no—
936#553—731no—
937#553—1461no—
938#553—1461no—
939#553—1461no—
940#550—731no—
941#550—731no—
942#550—731no—
943#550—731no—
944#550—731no—
945#550—1461no—
946#547—731no—
947#547—1461no—
948#546—1461no—
949#546—1461no—
950#546—1461no—
951D42—731no—
952D42—731no—
953D42—731no—
954#540—731no—
955#540—731no—
956#540—731no—
957#540—731no—
958#540—1461no—
959#540—1461no—
960#538—1461no—
961#538—1461no—
962#532—731no—
963#532—731no—
964#532—1461no—
965#529—731no—
966#529—1461no—
967#525—1461no—
968C2×#121—1461no—
969#520—731no—
970#520C2×D7311yescharacteristic, complemented
971#518—731no—
972#518C2×D7311yescharacteristic
973C4×#41—731no—
974C2×C4×D4—731no—
975#499—731no—
976#499—731no—
977#498—731no—
978#493—731no—
979#493—731no—
980#493—731no—
981#490—731no—
982#490—731no—
983#490—731no—
984#490—731no—
985#486—731no—
986#486—731no—
987#482—731no—
988#482—731no—
989#482—731no—
990#482—731no—
991#482—731no—
992#482—731no—
993#481—731no—
994#481—731no—
995#480—731no—
996#480—731no—
997#480—731no—
998#480—731no—
999#479—731no—
1000#479—731no—
1001#478—731no—
1002#478—731no—
1003#478—731no—
1004#478—731no—
1005#478—731no—
1006#478—731no—
1007#477—731no—
1008#476—731no—
1009#474—731no—
1010#474—731no—
1011#469—731no—
1012#469—731no—
1013#469—731no—
1014#469—731no—
1015#469—731no—
1016#469—731no—
1017#469—731no—
1018#469—731no—
1019#466—731no—
1020#466—731no—
1021#466—731no—
1022#466—731no—
1023#460—731no—
1024#460—731no—
1025#460—731no—
1026#459—731no—
1027#459—731no—
1028#459—731no—
1029#459—731no—
1030#459—731no—
1031#459—731no—
1032#459—731no—
1033#459—731no—
1034#459—731no—
1035#449—731no—
1036#449—731no—
1037#449—731no—
1038#449—731no—
1039#449—731no—
1040#449—731no—
1041#447—731no—
1042#447—731no—
1043#447—731no—
1044#447—731no—
1045#447—731no—
1046#447—731no—
1047#446—731no—
1048C8×Q8—731no—
1049#442—731no—
1050#442—731no—
1051#442—731no—
1052#442—731no—
1053#442—731no—
1054#442—731no—
1055#442C2×D7311yescharacteristic
1056#442C2×D7311yescharacteristic, complemented
1057#440—731no—
1058#440—731no—
1059#440C2×D7311yescharacteristic
1060#440C2×D7311yescharacteristic, complemented
1061C4×SD16—731no—
1062C4×SD16—731no—
1063C4×SD16—731no—
1064C4×SD16—731no—
1065C4×SD16C2×D7311yescharacteristic
1066C4×SD16C2×D7311yescharacteristic, complemented
1067C4×D8—731no—
1068C4×D8—731no—
1069C4×D8—731no—
1070C4×D8—731no—
1071C4×D8—731no—
1072C4×D8—731no—
1073C4×D8—731no—
1074C4×D8—731no—
1075C4×D8C2×D7311yescharacteristic
1076C4×D8C2×D7311yescharacteristic, complemented
1077#436—731no—
1078#436—731no—
1079#436—731no—
1080#435—731no—
1081#435—731no—
1082C8×D4—731no—
1083#433—731no—
1084#433—731no—
1085#431—731no—
1086#428—731no—
1087#428—731no—
1088#428C2×D7311yescharacteristic, complemented
1089#418—731no—
1090#417—731no—
1091#416—731no—
1092#416C2×D7311yescharacteristic, complemented
1093C2×#102—731no—
1094C2×#102C2×D7311yescharacteristic
1095#405—731no—
1096#405C2×D7311yescharacteristic, complemented
1097C4×M16—731no—
1098C2×#41—731no—
1099C2×#41—731no—
1100C2×#41—1461no—
1101C2×#41—1461no—
1102C2×#41—1461no—
1103C2×#41—1461no—
1104C2×#41—1461no—
1105C2×#41C22×D7311yescharacteristic
1106C22×D4—731no—
1107C22×D4—731no—
1108C22×D4—1461no—
1109C22×D4—1461no—
1110C22×D4—1461no—
1111C22×D4C22×D7311yescharacteristic
1112C23×C4—1461no—
1113AGL(1,ℤ/8)—24no—
1114AGL(1,ℤ/8)—1464no—
1115AGL(1,ℤ/8)—1464no—
1116C2×SD16—731no—
1117C2×SD16—731no—
1118C2×SD16C22×D7311yescharacteristic
1119C2×SD16C22×D7311yescharacteristic
1120C2×D8—731no—
1121C2×D8—731no—
1122C2×D8—731no—
1123C2×D8—731no—
1124C2×D8—731no—
1125C2×D8—731no—
1126C2×D8—731no—
1127C2×D8—731no—
1128C2×D8—731no—
1129C2×D8—731no—
1130C2×D8C22×D7311yescharacteristic
1131C2×D8C22×D7311yescharacteristic
1132C2×M16—731no—
1133C2×M16—731no—
1134C2×M16—731no—
1135C2×M16C22×D7311yescharacteristic
1136C22×C8—731no—
1137C22×C8C22×D7311yescharacteristic
1138C4⋊Q8—731no—
1139C4⋊Q8—731no—
1140C4⋊Q8—1461no—
1141#127—731no—
1142#127—731no—
1143#127—731no—
1144#127—731no—
1145#127—731no—
1146#127—731no—
1147#127—1461no—
1148#127—1461no—
1149#127—1461no—
1150#126—731no—
1151#126—731no—
1152#126—1461no—
1153#126—1461no—
1154#126—1461no—
1155#126—1461no—
1156#125—731no—
1157#125—731no—
1158#125—731no—
1159#125—731no—
1160#125—731no—
1161#125—1461no—
1162#125—1461no—
1163#124—731no—
1164#124—1461no—
1165#124—1461no—
1166#124—1461no—
1167#124—1461no—
1168#123—731no—
1169#123—731no—
1170#123—1461no—
1171#123—1461no—
1172#123—1461no—
1173#123—1461no—
1174#123—1461no—
1175#123—1461no—
1176#123—1461no—
1177#123—1461no—
1178#123—1461no—
1179#123—1461no—
1180#123—1461no—
1181#123—1461no—
1182#123—1461no—
1183#123—1461no—
1184C22⋊Q8—731no—
1185C22⋊Q8—1461no—
1186C22⋊Q8—1461no—
1187C22⋊Q8—1461no—
1188C22⋊Q8—1461no—
1189#121—731no—
1190#121—731no—
1191#121—731no—
1192#121—731no—
1193#121—731no—
1194#121—731no—
1195#121—731no—
1196#121—731no—
1197#121—731no—
1198#121—731no—
1199#121—731no—
1200#121—731no—
1201#121—731no—
1202#121—1461no—
1203#121—1461no—
1204#121—1461no—
1205#121—1461no—
1206#121—1461no—
1207#121—1461no—
1208#121—1461no—
1209#121—1461no—
1210#121—1461no—
1211#121—1461no—
1212#121—1461no—
1213#121—1461no—
1214#121—1461no—
1215#121—1461no—
1216#121—1461no—
1217#121—1461no—
1218#121—1461no—
1219#121—1461no—
1220#121—1461no—
1221#121—1461no—
1222#121—1461no—
1223#121—1461no—
1224#121—1461no—
1225#121—1461no—
1226#121—1461no—
1227#121—1461no—
1228#121—1461no—
1229#121—1461no—
1230#121—1461no—
1231#121—1461no—
1232#120—1461no—
1233#120—1461no—
1234#120—1461no—
1235#120—1461no—
1236#120—1461no—
1237#120—1461no—
1238C4×Q8—731no—
1239C4×Q8—731no—
1240C4×Q8—731no—
1241C4×Q8—1461no—
1242C4×Q8C22×D7311yescharacteristic
1243C4×Q8C22×D7311yescharacteristic
1244C4×D4—21no—
1245C4×D4—21no—
1246C4×D4—21no—
1247C4×D4—21no—
1248C4×D4—731no—
1249C4×D4—731no—
1250C4×D4—731no—
1251C4×D4—731no—
1252C4×D4—731no—
1253C4×D4—731no—
1254C4×D4—731no—
1255C4×D4—731no—
1256C4×D4—731no—
1257C4×D4—731no—
1258C4×D4—731no—
1259C4×D4—731no—
1260C4×D4—731no—
1261C4×D4—1461no—
1262C4×D4—1461no—
1263C4×D4—1461no—
1264C4×D4—1461no—
1265C4×D4—1461no—
1266C4×D4—1461no—
1267C4×D4—1461no—
1268C4×D4—1461no—
1269C4×D4—1461no—
1270C4×D4—1461no—
1271C4×D4—1461no—
1272C4×D4—1461no—
1273C4×D4—1461no—
1274C4×D4—1461no—
1275C4×D4—1461no—
1276C4×D4—1461no—
1277C4×D4—1461no—
1278C4×D4C22×D7311yescharacteristic
1279C4×D4C22×D7311yescharacteristic
1280C4×D4C22×D7311yescharacteristic
1281C4×D4C22×D7311yescharacteristic
1282C4×D4C22×D7311yescharacteristic
1283C4×D4C22×D7311yescharacteristic
1284#117—21no—
1285#117—731no—
1286#117—731no—
1287#117—731no—
1288#117—1461no—
1289#117—1461no—
1290#117—1461no—
1291#117C22×D7311yescharacteristic
1292#117C22×D7311yescharacteristic
1293C2×C4⋊C4—21no—
1294C2×C4⋊C4—731no—
1295C2×C4⋊C4—731no—
1296C2×C4⋊C4—1461no—
1297C2×C4⋊C4—1461no—
1298C2×C4⋊C4C22×D7311yescharacteristic
1299C2×C22⋊C4—21no—
1300C2×C22⋊C4—21no—
1301C2×C22⋊C4—1461no—
1302C2×C22⋊C4—1461no—
1303C2×C22⋊C4—1461no—
1304C2×C42—731no—
1305C2×C42—1461no—
1306#107—731no—
1307#107—731no—
1308#107—731no—
1309#107—731no—
1310#107—731no—
1311#107—731no—
1312#107C22×D7311yescharacteristic
1313#107C22×D7311yescharacteristic
1314#106—731no—
1315#106—731no—
1316#106—731no—
1317#106—731no—
1318#106—731no—
1319#106—731no—
1320#106C22×D7311yescharacteristic
1321#106C22×D7311yescharacteristic
1322C4⋊C8—731no—
1323C4⋊C8—731no—
1324C4⋊C8—731no—
1325C4⋊C8—731no—
1326C4⋊C8—731no—
1327C4⋊C8—731no—
1328#103—731no—
1329#103—731no—
1330#103C22×D7311yescharacteristic
1331#103C22×D7311yescharacteristic
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—
1345#102—731no—
1346#102—731no—
1347#102—731no—
1348#102—731no—
1349#102—731no—
1350#102—731no—
1351#102—731no—
1352#102—731no—
1353#102—731no—
1354#102C22×D7311yescharacteristic
1355#102C22×D7311yescharacteristic
1356#102C22×D7311yescharacteristic
1357#102C22×D7311yescharacteristic
1358#102C22×D7311yescharacteristic
1359#102C22×D7311yescharacteristic
1360C22⋊C8—731no—
1361C22⋊C8—731no—
1362C22⋊C8—731no—
1363C22⋊C8—731no—
1364C22⋊C8—731no—
1365C22⋊C8—731no—
1366#97—731no—
1367#97—731no—
1368#97C22×D7311yescharacteristic
1369#97C22×D7311yescharacteristic
1370C4×C8—731no—
1371C4×C8—731no—
1372C4×C8—731no—
1373C4×C8—731no—
1374C4×C8C22×D7311yescharacteristic
1375C4×C8C22×D7311yescharacteristic
1376C24—21no—
1377C24—1461no—
1378C24—1461no—
1379#41—22no—
1380#41—41no—
1381#41—2921no—
1382#41—2921no—
1383#41—5842no—
1384#41—5842no—
1385#41—5842no—
1386#41—5842no—
1387#41—5842no—
1388#41—1462no—
1389#41—1462no—
1390C2×Q8—731no—
1391C2×Q8—1461no—
1392C2×Q8—1461no—
1393C2×Q8C23×D7311yescharacteristic
1394C2×D4—22no—
1395C2×D4—21no—
1396C2×D4—21no—
1397C2×D4—41no—
1398C2×D4—2921no—
1399C2×D4—2921no—
1400C2×D4—5842no—
1401C2×D4—5842no—
1402C2×D4—5842no—
1403C2×D4—731no—
1404C2×D4—731no—
1405C2×D4—731no—
1406C2×D4—731no—
1407C2×D4—731no—
1408C2×D4—731no—
1409C2×D4—731no—
1410C2×D4—1461no—
1411C2×D4—1461no—
1412C2×D4—1461no—
1413C2×D4—1461no—
1414C2×D4—1461no—
1415C2×D4—1461no—
1416C2×D4—1461no—
1417C2×D4—1461no—
1418C2×D4—1461no—
1419C2×D4—1461no—
1420C2×D4—1461no—
1421C2×D4—1461no—
1422C2×D4—1461no—
1423C2×D4—1461no—
1424C2×D4—1461no—
1425C2×D4—1461no—
1426C2×D4—1461no—
1427C2×D4—1462no—
1428C2×D4—1462no—
1429C2×D4—1461no—
1430C2×D4—1461no—
1431C2×D4—1461no—
1432C2×D4—1461no—
1433C2×D4—1461no—
1434C2×D4—1461no—
1435C2×D4—1461no—
1436C2×D4—1461no—
1437C2×D4—1461no—
1438C2×D4—1461no—
1439C2×D4—1461no—
1440C2×D4C23×D7311yescharacteristic
1441C2×D4C23×D7311yescharacteristic
1442C2×D4C23×D7311yescharacteristic
1443C22×C4—21no—
1444C22×C4—21no—
1445C22×C4—21no—
1446C22×C4—21no—
1447C22×C4—21no—
1448C22×C4—21no—
1449C22×C4—21no—
1450C22×C4—21no—
1451C22×C4—5842no—
1452C22×C4—731no—
1453C22×C4—731no—
1454C22×C4—731no—
1455C22×C4—731no—
1456C22×C4—1461no—
1457C22×C4—1461no—
1458C22×C4—1461no—
1459C22×C4—1461no—
1460C22×C4—1461no—
1461C22×C4—1461no—
1462C22×C4—1461no—
1463C22×C4—1461no—
1464C22×C4—1461no—
1465C22×C4—1461no—
1466C22×C4—1461no—
1467C22×C4—1461no—
1468C22×C4—1461no—
1469C22×C4—1461no—
1470C22×C4C23×D7311yescharacteristic
1471SD16—22no—
1472SD16—1462no—
1473SD16—1462no—
1474SD16#1192402814yescomplemented
1475D8—22no—
1476D8—22no—
1477D8—2921no—
1478D8—2921no—
1479D8—2921no—
1480D8—2921no—
1481D8—2921no—
1482D8—2921no—
1483D8—1462no—
1484D8—1462no—
1485D8—1462no—
1486D8—1462no—
1487M16—22no—
1488M16—2921no—
1489M16—1462no—
1490M16—1462no—
1491C2×C8—41no—
1492C2×C8—2921no—
1493C2×C8—731no—
1494C2×C8—731no—
1495C2×C8—731no—
1496C2×C8—731no—
1497C2×C8C23×D7311yescharacteristic
1498C2×C8C23×D7311yescharacteristic
1499C2×C8C23×D7311yescharacteristic
1500C2×C8C23×D7311yescharacteristic
1501C4⋊C4—21no—
1502C4⋊C4—21no—
1503C4⋊C4—21no—
1504C4⋊C4—731no—
1505C4⋊C4—731no—
1506C4⋊C4—731no—
1507C4⋊C4—731no—
1508C4⋊C4—731no—
1509C4⋊C4—731no—
1510C4⋊C4—731no—
1511C4⋊C4—731no—
1512C4⋊C4—731no—
1513C4⋊C4—731no—
1514C4⋊C4—731no—
1515C4⋊C4—731no—
1516C4⋊C4—1461no—
1517C4⋊C4—1461no—
1518C4⋊C4—1461no—
1519C4⋊C4—1461no—
1520C4⋊C4—1461no—
1521C4⋊C4—1461no—
1522C4⋊C4—1461no—
1523C4⋊C4—1461no—
1524C4⋊C4—1461no—
1525C4⋊C4—1461no—
1526C4⋊C4—1461no—
1527C4⋊C4—1461no—
1528C4⋊C4—1461no—
1529C4⋊C4—1461no—
1530C4⋊C4D4×D7311yescharacteristic
1531C4⋊C4D4×D7311yescharacteristic
1532C4⋊C4C23×D7311yescharacteristic
1533C4⋊C4C23×D7311yescharacteristic
1534C4⋊C4C23×D7311yescharacteristic
1535C4⋊C4C23×D7311yescharacteristic
1536C22⋊C4—21no—
1537C22⋊C4—21no—
1538C22⋊C4—21no—
1539C22⋊C4—21no—
1540C22⋊C4—21no—
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—731no—
1544C22⋊C4—731no—
1545C22⋊C4—731no—
1546C22⋊C4—731no—
1547C22⋊C4—731no—
1548C22⋊C4—731no—
1549C22⋊C4—731no—
1550C22⋊C4—731no—
1551C22⋊C4—1461no—
1552C22⋊C4—1461no—
1553C22⋊C4—1461no—
1554C22⋊C4—1461no—
1555C22⋊C4—1461no—
1556C22⋊C4—1461no—
1557C22⋊C4—1461no—
1558C22⋊C4—1461no—
1559C22⋊C4—1461no—
1560C22⋊C4—1461no—
1561C22⋊C4—1461no—
1562C22⋊C4—1461no—
1563C22⋊C4—1461no—
1564C22⋊C4—1461no—
1565C22⋊C4—1461no—
1566C22⋊C4—1461no—
1567C22⋊C4—1461no—
1568C22⋊C4—1461no—
1569C22⋊C4—1461no—
1570C22⋊C4—1461no—
1571C22⋊C4—1461no—
1572C22⋊C4—1461no—
1573C22⋊C4—1461no—
1574C22⋊C4—1461no—
1575C22⋊C4D4×D7311yescharacteristic
1576C22⋊C4D4×D7311yescharacteristic
1577C42—21no—
1578C42—21no—
1579C42—21no—
1580C42—731no—
1581C42—731no—
1582C42—731no—
1583C42—731no—
1584C42—1461no—
1585C42—1461no—
1586C42—1461no—
1587C42—1461no—
1588C42C23×D7311yescharacteristic
1589C42C23×D7311yescharacteristic
1590C23—21no—
1591C23—21no—
1592C23—21no—
1593C23—42no—
1594C23—81no—
1595C23—81no—
1596C23—2922no—
1597C23—2922no—
1598C23—2922no—
1599C23—5841no—
1600C23—5841no—
1601C23—5841no—
1602C23—731no—
1603C23—731no—
1604C23—1461no—
1605C23—1461no—
1606C23—1461no—
1607C23—1461no—
1608C23C2×D4×D7311yescharacteristic
1609Q8—21no—
1610Q8—2922no—
1611Q8—5841no—
1612Q8—1462no—
1613Q8C2×#1192402812yes—
1614D4—21no—
1615D4—21no—
1616D4—21no—
1617D4—21no—
1618D4—21no—
1619D4—42no—
1620D4—42no—
1621D4—2922no—
1622D4—2922no—
1623D4—2921no—
1624D4—2922no—
1625D4—2922no—
1626D4—2922no—
1627D4—2922no—
1628D4—2922no—
1629D4—2922no—
1630D4—2921no—
1631D4—5841no—
1632D4—5841no—
1633D4—5841no—
1634D4—5841no—
1635D4—5841no—
1636D4—5841no—
1637D4—5841no—
1638D4—5841no—
1639D4—5841no—
1640D4—5841no—
1641D4—5841no—
1642D4—5841no—
1643D4—5841no—
1644D4—5841no—
1645D4—5841no—
1646D4—5841no—
1647D4—5841no—
1648D4—5841no—
1649D4—5841no—
1650D4—5841no—
1651D4—1462no—
1652D4—1461no—
1653D4—1461no—
1654D4—1461no—
1655D4—1461no—
1656D4—1461no—
1657D4—1461no—
1658D4—1461no—
1659D4—1461no—
1660D4C2×#1192402812yes—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—42no—
1669C2×C4—81no—
1670C2×C4—81no—
1671C2×C4—81no—
1672C2×C4—81no—
1673C2×C4—81no—
1674C2×C4—81no—
1675C2×C4—81no—
1676C2×C4—2922no—
1677C2×C4—2922no—
1678C2×C4—2921no—
1679C2×C4—2922no—
1680C2×C4—2922no—
1681C2×C4—2922no—
1682C2×C4—5841no—
1683C2×C4—5841no—
1684C2×C4—5841no—
1685C2×C4—5841no—
1686C2×C4—5841no—
1687C2×C4—5841no—
1688C2×C4—5841no—
1689C2×C4—5841no—
1690C2×C4—5841no—
1691C2×C4—731no—
1692C2×C4—731no—
1693C2×C4—731no—
1694C2×C4—731no—
1695C2×C4—731no—
1696C2×C4—731no—
1697C2×C4—1462no—
1698C2×C4—1461no—
1699C2×C4—1461no—
1700C2×C4—1461no—
1701C2×C4—1461no—
1702C2×C4—1461no—
1703C2×C4—1461no—
1704C2×C4—1461no—
1705C2×C4—1461no—
1706C2×C4C2×D4×D7311yescharacteristic
1707C2×C4C2×D4×D7311yescharacteristic
1708C2×C4C2×D4×D7311yescharacteristic
1709C2×C4C2×D4×D7311yescharacteristic
1710C2×C4C2×D4×D7311yescharacteristic
1711C2×C4C24×D7311yescharacteristic
1712C8—21no—
1713C8—21no—
1714C8—21no—
1715C8—1461no—
1716C8—1461no—
1717C8—1461no—
1718C8—1461no—
1719C8C2×#1192402812yes—
1720C22—21no—
1721C22—21no—
1722C22—22no—
1723C22—21no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—162no—
1733C22—2921no—
1734C22—2921no—
1735C22—2921no—
1736C22—2921no—
1737C22—2921no—
1738C22—2921no—
1739C22—2921no—
1740C22—2921no—
1741C22—2921no—
1742C22—2921no—
1743C22—2921no—
1744C22—2921no—
1745C22—5844no—
1746C22—11682no—
1747C22—1461no—
1748C22—1461no—
1749C22—1461no—
1750C22—1461no—
1751C22—1461no—
1752C22—1461no—
1753C22C22×D4×D7311yescharacteristic
1754C4—21no—
1755C4—21no—
1756C4—21no—
1757C4—22no—
1758C4—21no—
1759C4—21no—
1760C4—41no—
1761C4—41no—
1762C4—41no—
1763C4—41no—
1764C4—2921no—
1765C4—2921no—
1766C4—2921no—
1767C4—2921no—
1768C4—732no—
1769C4—1461no—
1770C4—1461no—
1771C4—1461no—
1772C4—1461no—
1773C4—1461no—
1774C4C22×#1192402811yescharacteristic
1775C4#1798942311yescharacteristic
1776C2—41no—
1777C2—42no—
1778C2—81no—
1779C2—81no—
1780C2—2921no—
1781C2—2921no—
1782C2—5841no—
1783C2—5841no—
1784C2—5841no—
1785C2—5841no—
1786C2D4×#1192402811yescharacteristic
1787C2#576×D7311yescharacteristic
1788C2#2262470911yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#2946C2
socleC22×C73C23×D4
hypercenter#2946D73
hypocenterC73#61555
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ #117 ◁ #2946

Complements

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

NH ≅ G/Ntype
1. #22623953C2semidirect
2. #22623931C2semidirect
3. #22622905C2semidirect
4. #22622807C2semidirect
5. #22622661C2semidirect
6. #22622639C2semidirect
7. #22622538C2semidirect
8. #22622533C2semidirect
9. #22622522C2semidirect
10. #22622077C2semidirect
11. #22622068C2semidirect
12. #22621942C2semidirect
13. #22621933C2semidirect
14. #22621877C2semidirect
15. #22621740C2semidirect
16. #22621552C2semidirect
17. #22621545C2semidirect
18. #22621545C2semidirect
19. #22620666C2semidirect
20. #22620581C2semidirect
21. #22620579C2semidirect
22. #22620174C2semidirect
23. #22620171C2semidirect
24. #22620136C2semidirect
25. #22620130C2semidirect
26. #22619989C2semidirect
27. #22619929C2semidirect
28. #22618931C2semidirect
29. #22618762C2semidirect
30. #22618736C2semidirect
31. C73×#2946C2semidirect
34. #17989313C22semidirect
39. #17989287C22semidirect
42. #17989285C22semidirect
44. #17989259C22semidirect
47. #17989258C22semidirect
48. #17989256C22semidirect
49. #17989256C22semidirect
51. #17989238C22semidirect
60. #17989192C22semidirect
63. #17989188C22semidirect
68. #17989134C22semidirect
73. #17989069C22semidirect
75. C4×#11924029C22semidirect
77. #17988989C22semidirect
78. #17988987C22semidirect
79. #17988984C22semidirect
80. #17988964C22semidirect
81. #17988962C22semidirect
82. #17988962C22semidirect
83. #17988952C22semidirect
84. #17988952C22semidirect
85. #17988950C22semidirect
86. #17988950C22semidirect
87. #17988932C22semidirect
88. #17988932C22semidirect
89. #17988914C22semidirect
90. #17988913C22semidirect
91. #17988911C22semidirect
92. #17988911C22semidirect
93. #17988909C22semidirect
94. #17988909C22semidirect
95. #17988907C22semidirect
96. #17988905C22semidirect
97. #17988902C22semidirect
98. #17988900C22semidirect
99. #17988899C22semidirect
100. #17988899C22semidirect
101. #17988896C22semidirect
102. #17988894C22semidirect
103. #17988890C22semidirect
105. #17988887C22semidirect
106. #17988887C22semidirect
107. #17988886C22semidirect
109. #17988880C22semidirect
110. #17988876C22semidirect
111. #17988866C22semidirect
113. #17988841C22semidirect
114. #17988841C22semidirect
115. #17988840C22semidirect
116. #17988840C22semidirect
117. #17988839C22semidirect
118. #17988839C22semidirect
119. #17988837C22semidirect
120. #17988837C22semidirect
121. #17988823C22semidirect
122. #17988823C22semidirect
123. #17988822C22semidirect
124. #17988822C22semidirect
125. #17988787C22semidirect
126. #17988785C22semidirect
127. #17988785C22semidirect
129. #17988782C22semidirect
130. #17988782C22semidirect
131. #17988781C22semidirect
132. #17988781C22semidirect
133. #17988781C22semidirect
134. #17988781C22semidirect
137. #17988735C22semidirect
138. #17988735C22semidirect
139. #17988732C22semidirect
140. #17988732C22semidirect
141. #17988731C22semidirect
142. #17988731C22semidirect
149. #17988715C22semidirect
150. C8×Dic146C22semidirect
151. #17988700C22semidirect
152. #17988700C22semidirect
154. #17988697C22semidirect
155. #17988697C22semidirect
157. #17988690C22semidirect
158. #17988685C22semidirect
161. C4×#11924015C22semidirect
162. #17988672C22semidirect
163. C4×D584C22semidirect
164. C4×D584C22semidirect
165. #17988669C22semidirect
166. #17988669C22semidirect
168. C4×#11924013C22semidirect
169. C4×#11924013C22semidirect
171. #17988666C22semidirect
172. #17988663C22semidirect
173. #17988663C22semidirect
174. #17988660C22semidirect
175. #17988658C22semidirect
176. C8×C22⋊D73C22semidirect
177. #17988648C22semidirect
178. #17988646C22semidirect
179. #17988638C22semidirect
180. #17988628C22semidirect
181. #17988628C22semidirect
183. #17988587C22semidirect
184. #17988582C22semidirect
186. #17988544C22semidirect
187. #17988539C22semidirect
189. #520×C73C22semidirect
192. #442×C73C22semidirect
194. #440×C73C22semidirect
196. C4×SD16×C73C22semidirect
198. C4×D8×C73C22semidirect
199. #428×C73C22semidirect
200. #416×C73C22semidirect
202. #405×C73C22semidirect
663. SD16×C73#41semidirect
924. #2946D73semidirect
926. C73#61555semidirect
970. #520C2×D73semidirect
1056. #442C2×D73semidirect
1060. #440C2×D73semidirect
1066. C4×SD16C2×D73semidirect
1076. C4×D8C2×D73semidirect
1088. #428C2×D73semidirect
1092. #416C2×D73semidirect
1096. #405C2×D73semidirect
1474. SD16#11924028semidirect

Maximal subgroups

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

subgroupindex
#226239532
#226239312
#226229052
#226228072
#226226612
#226226392
#226225382
#226225332
#226225222
#226220772
#226220682
#226219422
#226219332
#226218772
#226217402
#226215522
#226215452
#226206662
#226205812
#226205792
#226201742
#226201712
#226201362
#226201302
#226199892
#226199292
#226189312
#226187622
#226187362
C73×#29462
#6155573