Finite Group Databasebeta

← #33968080

Subgroups — #33968080

Order 18688.

1836 conjugacy classes of subgroups.

The subgroup lattice has 1692 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623524C211yesmaximal, characteristic, complemented
2#22622997C211yesmaximal, characteristic, complemented
3#22622894C211yesmaximal, characteristic, complemented
4#22622767C211yesmaximal, characteristic, complemented
5#22622699C211yesmaximal, characteristic, complemented
6#22622461C211yesmaximal, characteristic, complemented
7#22622401C211yesmaximal, characteristic, complemented
8#22622310C211yesmaximal, characteristic, complemented
9#22622102C211yesmaximal, characteristic, complemented
10#22622051C211yesmaximal, characteristic, complemented
11#22621997C211yesmaximal, characteristic, complemented
12#22621916C211yesmaximal, characteristic, complemented
13#22621833C211yesmaximal, characteristic, complemented
14#22621812C211yesmaximal, characteristic, complemented
15#22621668C211yesmaximal, characteristic, complemented
16#22621517C211yesmaximal, characteristic, complemented
17#22621502C211yesmaximal, characteristic, complemented
18#22620654C211yesmaximal, characteristic, complemented
19#22620634C211yesmaximal, characteristic, complemented
20#22620630C211yesmaximal, characteristic, complemented
21#22620102C211yesmaximal, characteristic, complemented
22#22620098C211yesmaximal, characteristic, complemented
23#22620087C211yesmaximal, characteristic, complemented
24#22620053C211yesmaximal, characteristic, complemented
25#22620040C211yesmaximal, characteristic, complemented
26#22620034C211yesmaximal, characteristic, complemented
27#22618945C211yesmaximal, characteristic, complemented
28C4×#14556622C211yesmaximal, characteristic, complemented
29#22618729C211yesmaximal, characteristic, complemented
30C2×#17988692C211yesmaximal, characteristic, complemented
31C73×#3482C211yesmaximal, characteristic, complemented
32C2×#14556622C2211yescharacteristic
33C2×#14556611C2211yescharacteristic
34C22×#11924018C2211yescharacteristic
35#17989322C2211yescharacteristic
36#17989320—21no—
37#17989315C2211yescharacteristic
38#17989309—21no—
39#17989307C2211yescharacteristic
40#17989286—21no—
41#17989286—21no—
42#17989283C2211yescharacteristic
43#17989283C2211yescharacteristic
44#17989258C2211yescharacteristic
45#17989246C2211yescharacteristic
46#17989246C2211yescharacteristic
47#17989137C2211yescharacteristic
48#17989133—21no—
49#17989121C2211yescharacteristic
50#17989121C2211yescharacteristic
51#17989115—21no—
52#17989115—21no—
53C4×#11924028C2211yescharacteristic
54C4×#11924028C2211yescharacteristic
55#17989055—21no—
56C2×C4×Dic146C2211yescharacteristic
57#17988997C2211yescharacteristic
58#17988993C2211yescharacteristic
59#17988986C2211yescharacteristic
60#17988979C2211yescharacteristic
61#17988977C2211yescharacteristic
62#17988969C2211yescharacteristic
63#17988955C2211yescharacteristic
64#17988953C2211yescharacteristic
65#17988949C2211yescharacteristic
66#17988946C2211yescharacteristic
67#17988944C2211yescharacteristic
68#17988941C2211yescharacteristic
69#17988928C2211yescharacteristic
70#17988925C2211yescharacteristic
71#17988925C2211yescharacteristic
72#17988925C2211yescharacteristic
73#17988922C2211yescharacteristic
74#17988920C2211yescharacteristic
75#17988911C2211yescharacteristic
76#17988908C2211yescharacteristic
77#17988905C2211yescharacteristic
78#17988903C2211yescharacteristic
79#17988900C2211yescharacteristic
80#17988900C2211yescharacteristic
81#17988894C2211yescharacteristic
82#17988894C2211yescharacteristic
83#17988894C2211yescharacteristic
84#17988891C2211yescharacteristic
85#17988891C2211yescharacteristic
86#17988891C2211yescharacteristic
87#17988887C2211yescharacteristic
88#17988884C2211yescharacteristic
89#17988882C2211yescharacteristic
90#17988882C2211yescharacteristic
91#17988879C2211yescharacteristic
92#17988874C2211yescharacteristic
93#17988843C2211yescharacteristic
94#17988838C2211yescharacteristic
95#17988835C2211yescharacteristic
96#17988831C2211yescharacteristic
97#17988826C2211yescharacteristic
98#17988826C2211yescharacteristic
99#17988821C2211yescharacteristic
100#17988821C2211yescharacteristic
101#17988818C2211yescharacteristic
102#17988818C2211yescharacteristic
103#17988818C2211yescharacteristic
104#17988818C2211yescharacteristic
105#17988809C2211yescharacteristic
106#17988809C2211yescharacteristic
107#17988809C2211yescharacteristic
108#17988806C2211yescharacteristic
109#17988806C2211yescharacteristic
110#17988806C2211yescharacteristic
111#17988802C2211yescharacteristic
112#17988799C2211yescharacteristic
113#17988794C2211yescharacteristic
114#17988789C2211yescharacteristic
115#17988787C2211yescharacteristic
116#17988787C2211yescharacteristic
117#17988749C2211yescharacteristic
118#17988747C2211yescharacteristic
119#17988747C2211yescharacteristic
120#17988747C2211yescharacteristic
121#17988743C2211yescharacteristic
122#17988742C2211yescharacteristic
123#17988732C2211yescharacteristic
124#17988730C2211yescharacteristic
125#17988726C2211yescharacteristic
126#17988726C2211yescharacteristic
127#17988726C2211yescharacteristic
128#17988725C2211yescharacteristic
129#17988718C2211yescharacteristic
130#17988718C2211yescharacteristic
131#17988697C2211yescharacteristic
132#17988697C2211yescharacteristic
133#17988697C2211yescharacteristic
134#17988692C2211yescharacteristic
135#17988692C2211yescharacteristic
136#17988692C2211yescharacteristic
137#17988692C2211yescharacteristic
138#17988692C2211yescharacteristic
139#17988692C2211yescharacteristic
140#17988692C2211yescharacteristic
141#17988692C2211yescharacteristic
142#17988692C2211yescharacteristic
143#17988692C2211yescharacteristic
144#17988692C2211yescharacteristic
145#17988687C2211yescharacteristic
146#17988687C2211yescharacteristic
147#17988687C2211yescharacteristic
148#17988685C2211yescharacteristic
149#17988685C2211yescharacteristic
150#17988685C2211yescharacteristic
151#17988685C2211yescharacteristic
152#17988685C2211yescharacteristic
153#17988685C2211yescharacteristic
154#17988685C2211yescharacteristic
155C4×#11924018C2211yescharacteristic
156C4×#11924018C2211yescharacteristic
157C4×#11924015C2211yescharacteristic
158C4×#11924015C2211yescharacteristic
159#17988659C2211yescharacteristic
160#17988659C2211yescharacteristic
161#17988659C2211yescharacteristic
162#17988659C2211yescharacteristic
163D4×#10596831C2211yescharacteristic
164D4×#10596831C2211yescharacteristic
165#17988644C2211yescharacteristic
166#17988644C2211yescharacteristic
167#17988644C2211yescharacteristic
168#17988627C2211yescharacteristic
169#17988623C2211yescharacteristic
170C2×#14556522C2211yescharacteristic
171#17988596C2211yescharacteristic
172#17988586C2211yescharacteristic
173#17988583C2211yescharacteristic
174#17988581C2211yescharacteristic
175C2×#14556515C2211yescharacteristic
176C2×#14556514C2211yescharacteristic
177C4×#11924012C2211yescharacteristic
178C2×#14556502C2211yescharacteristic
179C2×#14556502C2211yescharacteristic
180#557×C73C2211yescharacteristic
181#556×C73—21no—
182#556×C73C2211yescharacteristic
183#552×C73—21no—
184#552×C73—21no—
185#552×C73C2211yescharacteristic
186#552×C73C2211yescharacteristic
187D4×Q8×C73C2211yescharacteristic
188#548×C73C2211yescharacteristic
189#548×C73C2211yescharacteristic
190#547×C73—21no—
191#547×C73C2211yescharacteristic
192#533×C73—21no—
193#533×C73C2211yescharacteristic
194#529×C73—21no—
195#529×C73—21no—
196#529×C73C2211yescharacteristic
197#529×C73C2211yescharacteristic
198C4×#41×C73—21no—
199C4×#41×C73C2211yescharacteristic
200C4×#41×C73C2211yescharacteristic
201C2×C4×Q8×C73C2211yescharacteristic
202C2×C4×Q8×C73C2211yescharacteristic
203C2×#11924028—21no—
204C2×#11924028C2311yescharacteristic
205C2×#11924028C2311yescharacteristic
206C22×Dic146C2311yescharacteristic
207#14556622—24no—
208#14556611—24no—
209C2×#11924018—24no—
210C2×#11924018C2311yescharacteristic
211C2×#11924018C2311yescharacteristic
212C2×#11924018C2311yescharacteristic
213C2×#11924018C2311yescharacteristic
214C2×#11924018C2311yescharacteristic
215C2×#11924018C2311yescharacteristic
216C2×#11924016C2311yescharacteristic
217C2×#11924016C2311yescharacteristic
218C2×#11924015C2311yescharacteristic
219C2×#11924015C2311yescharacteristic
220C2×#11924015C2311yescharacteristic
221C2×#11924015C2311yescharacteristic
222C2×#11924015C2311yescharacteristic
223C2×#11924015C2311yescharacteristic
224C2×#11924013C2311yescharacteristic
225C2×#11924013C2311yescharacteristic
226C2×#11924012C2311yescharacteristic
227C2×#11924012C2311yescharacteristic
228C22×#10596831C2311yescharacteristic
229C22×#10596831C2311yescharacteristic
230C22×#10596831C2311yescharacteristic
231C22×#10596831C2311yescharacteristic
232#14556591C2311yescharacteristic
233#14556589—21no—
234#14556588C2311yescharacteristic
235#14556587—21no—
236#14556586—21no—
237#14556586—21no—
238#14556585—21no—
239#14556585—21no—
240#14556584—21no—
241#14556584—21no—
242#14556583C2311yescharacteristic
243#14556583C2311yescharacteristic
244#14556581—21no—
245#14556581—21no—
246#14556580—21no—
247#14556579—21no—
248#14556579C2311yescharacteristic
249#14556579C2311yescharacteristic
250#14556578—21no—
251#14556577—21no—
252#14556577—21no—
253#14556576—21no—
254#14556576—21no—
255#14556574—21no—
256#14556574—21no—
257#14556573—21no—
258#14556573—21no—
259#14556570C2311yescharacteristic
260#14556570C2311yescharacteristic
261#14556569—21no—
262#14556569—21no—
263#14556565—21no—
264#14556565C2311yescharacteristic
265#14556565C2311yescharacteristic
266#14556565C2311yescharacteristic
267#14556565C2311yescharacteristic
268#14556564—21no—
269#14556564—21no—
270#14556563—21no—
271#14556563—21no—
272#14556563—21no—
273#14556563—21no—
274C4×Dic146—21no—
275C4×Dic146—21no—
276C4×Dic146C2311yescharacteristic
277C4×Dic146C2311yescharacteristic
278C4×Dic146C2311yescharacteristic
279C4×Dic146C2311yescharacteristic
280C4×Dic146C2311yescharacteristic
281C4×Dic146C2311yescharacteristic
282#14556556—21no—
283#14556556—21no—
284C4×D292—21no—
285C4×D292C2311yescharacteristic
286C4×D292C2311yescharacteristic
287C4×D292C2311yescharacteristic
288C4×D292C2311yescharacteristic
289#14556553—21no—
290#14556553—21no—
291C4×C22⋊D73—21no—
292C4×C22⋊D73—21no—
293C4×C22⋊D73—21no—
294C4×C22⋊D73—21no—
295C4×C22⋊D73—21no—
296C4×C22⋊D73—21no—
297#14556551—21no—
298#14556551—21no—
299#14556551—21no—
300#14556551—21no—
301#14556550C2311yescharacteristic
302#14556550C2311yescharacteristic
303#14556548—21no—
304#14556548—21no—
305#14556548—21no—
306#14556548—21no—
307C2×C4⋊Dic73C2311yescharacteristic
308C2×#11924007—21no—
309C2×C4×Dic73—21no—
310C42×D73—21no—
311C42×D73—21no—
312#14556524C2311yescharacteristic
313#14556524C2311yescharacteristic
314#14556524C2311yescharacteristic
315#14556524C2311yescharacteristic
316#14556524C2311yescharacteristic
317#14556524C2311yescharacteristic
318#14556524C2311yescharacteristic
319#14556524C2311yescharacteristic
320#14556522C2311yescharacteristic
321#14556522C2311yescharacteristic
322#14556522C2311yescharacteristic
323#14556522C2311yescharacteristic
324#14556522C2311yescharacteristic
325#14556522C2311yescharacteristic
326#14556522C2311yescharacteristic
327#14556522C2311yescharacteristic
328C4⋊#10596831C2311yescharacteristic
329C4⋊#10596831C2311yescharacteristic
330C4⋊#10596831C2311yescharacteristic
331C4⋊#10596831C2311yescharacteristic
332C4⋊#10596831C2311yescharacteristic
333C4⋊#10596831C2311yescharacteristic
334#14556515C2311yescharacteristic
335#14556515C2311yescharacteristic
336#14556515C2311yescharacteristic
337#14556515C2311yescharacteristic
338#14556515C2311yescharacteristic
339#14556515C2311yescharacteristic
340#14556515C2311yescharacteristic
341#14556515C2311yescharacteristic
342#14556515C2311yescharacteristic
343#14556515C2311yescharacteristic
344#14556515C2311yescharacteristic
345#14556515C2311yescharacteristic
346#14556514C2311yescharacteristic
347#14556514C2311yescharacteristic
348#14556514C2311yescharacteristic
349#14556514C2311yescharacteristic
350#14556514C2311yescharacteristic
351#14556514C2311yescharacteristic
352#14556514C2311yescharacteristic
353#14556514C2311yescharacteristic
354#14556512C2311yescharacteristic
355#14556512C2311yescharacteristic
356#14556512C2311yescharacteristic
357#14556512C2311yescharacteristic
358#14556511C2311yescharacteristic
359#14556511C2311yescharacteristic
360#14556511C2311yescharacteristic
361#14556511C2311yescharacteristic
362#14556511C2311yescharacteristic
363#14556511C2311yescharacteristic
364#14556511C2311yescharacteristic
365#14556511C2311yescharacteristic
366C22⋊#10596831C2311yescharacteristic
367C22⋊#10596831C2311yescharacteristic
368C22⋊#10596831C2311yescharacteristic
369C22⋊#10596831C2311yescharacteristic
370C22⋊#10596831C2311yescharacteristic
371C22⋊#10596831C2311yescharacteristic
372#14556502C2311yescharacteristic
373#14556502C2311yescharacteristic
374#14556502C2311yescharacteristic
375#14556502C2311yescharacteristic
376#14556502C2311yescharacteristic
377#14556502C2311yescharacteristic
378#14556502C2311yescharacteristic
379#14556502C2311yescharacteristic
380C4×#10596831C2311yescharacteristic
381C4×#10596831C2311yescharacteristic
382C2×#41×C73—21no—
383C2×#41×C73D411yescharacteristic
384C2×#41×C73C2311yescharacteristic
385C22×Q8×C73C2311yescharacteristic
386C22×Q8×C73C2311yescharacteristic
387C4⋊Q8×C73—21no—
388C4⋊Q8×C73—21no—
389C4⋊Q8×C73C2311yescharacteristic
390C4⋊Q8×C73C2311yescharacteristic
391#126×C73—21no—
392#126×C73—21no—
393#126×C73—21no—
394#126×C73—21no—
395#126×C73—21no—
396#126×C73—21no—
397#125×C73—21no—
398#125×C73—21no—
399#125×C73—21no—
400#125×C73—21no—
401#125×C73—21no—
402#125×C73C2311yescharacteristic
403#125×C73C2311yescharacteristic
404#124×C73—21no—
405#124×C73—21no—
406#124×C73C2311yescharacteristic
407#124×C73C2311yescharacteristic
408#123×C73—21no—
409#123×C73—21no—
410#123×C73—21no—
411#123×C73—21no—
412#123×C73—21no—
413#123×C73—21no—
414C22⋊Q8×C73—21no—
415C22⋊Q8×C73—21no—
416C22⋊Q8×C73—21no—
417C22⋊Q8×C73—21no—
418C22⋊Q8×C73—21no—
419C22⋊Q8×C73—21no—
420C22⋊Q8×C73—21no—
421C22⋊Q8×C73C2311yescharacteristic
422C22⋊Q8×C73C2311yescharacteristic
423C22⋊Q8×C73C2311yescharacteristic
424C22⋊Q8×C73C2311yescharacteristic
425#121×C73—21no—
426#121×C73—21no—
427#121×C73C2311yescharacteristic
428#121×C73C2311yescharacteristic
429C4×Q8×C73—21no—
430C4×Q8×C73—21no—
431C4×Q8×C73—21no—
432C4×Q8×C73—21no—
433C4×Q8×C73—21no—
434C4×Q8×C73—21no—
435C4×Q8×C73D411yescharacteristic
436C4×Q8×C73C2311yescharacteristic
437C4×Q8×C73C2311yescharacteristic
438C4×Q8×C73C2311yescharacteristic
439C4×Q8×C73C2311yescharacteristic
440C4×Q8×C73C2311yescharacteristic
441C4×Q8×C73C2311yescharacteristic
442C4×Q8×C73C2311yescharacteristic
443C4×Q8×C73C2311yescharacteristic
444C4×Q8×C73C2311yescharacteristic
445C4×D4×C73—21no—
446C4×D4×C73—21no—
447C4×D4×C73—21no—
448C4×D4×C73—21no—
449C4×D4×C73—21no—
450C4×D4×C73—21no—
451C4×D4×C73—21no—
452C4×D4×C73D411yescharacteristic
453C4×D4×C73D411yescharacteristic
454C4×D4×C73D411yescharacteristic
455C4×D4×C73C2311yescharacteristic
456C4×D4×C73C2311yescharacteristic
457C4×D4×C73C2311yescharacteristic
458C4×D4×C73C2311yescharacteristic
459C4×D4×C73C2311yescharacteristic
460#117×C73—21no—
461#117×C73—21no—
462#117×C73—21no—
463#117×C73—21no—
464#117×C73—21no—
465#117×C73—21no—
466#117×C73—21no—
467#117×C73D411yescharacteristic
468#117×C73D411yescharacteristic
469#117×C73D411yescharacteristic
470#117×C73C2311yescharacteristic
471C2×C4⋊C4×C73—21no—
472C2×C4⋊C4×C73—21no—
473C2×C4⋊C4×C73C2311yescharacteristic
474C2×C4⋊C4×C73C2311yescharacteristic
475C2×C42×C73—21no—
476C2×C42×C73—21no—
477C2×C42×C73—21no—
478C2×C42×C73C2311yescharacteristic
479C2×C42×C73C2311yescharacteristic
480C2×C42×C73C2311yescharacteristic
481#11924028—22no—
482#11924028—22no—
483#11924028—41no—
484#11924028—41no—
485#11924028—44no—
486C2×Dic146—22no—
487C2×Dic146—21no—
488C2×Dic146—21no—
489C2×Dic146—41no—
490C2×Dic146C2411yescharacteristic
491C2×Dic146C2411yescharacteristic
492C2×D292—21no—
493C2×D292—21no—
494C2×D292C2411yescharacteristic
495C2×D292C2411yescharacteristic
496C2×C22⋊D73—21no—
497C2×C22⋊D73—21no—
498C2×C22⋊D73—21no—
499C2×C22⋊D73—21no—
500C2×C22⋊D73—21no—
501C2×C22⋊D73—21no—
502C22×Dic73—21no—
503C22×Dic73—21no—
504C2×C4×D73—21no—
505C2×C4×D73—21no—
506C2×C4×D73—21no—
507C2×C4×D73—21no—
508C2×C4×D73—21no—
509C2×C4×D73—21no—
510#11924018—22no—
511#11924018—22no—
512#11924018—22no—
513#11924018—22no—
514#11924018—41no—
515#11924018#4114yescomplemented
516#11924016—22no—
517#11924016—41no—
518#11924015—22no—
519#11924015—22no—
520#11924015—22no—
521#11924015—41no—
522#11924015—41no—
523#11924015—41no—
524#11924013—22no—
525#11924013—41no—
526#11924012—22no—
527#11924012—41no—
528C2×#10596831—22no—
529C2×#10596831—22no—
530C2×#10596831—41no—
531C2×#10596831—41no—
532C2×#10596831C2411yescharacteristic
533C2×#10596831C2411yescharacteristic
534C2×#10596831C2411yescharacteristic
535C2×#10596831C2411yescharacteristic
536C2×#10596831C2411yescharacteristic
537C2×#10596831C2411yescharacteristic
538C2×#10596831C2411yescharacteristic
539C2×#10596831C2411yescharacteristic
540C4⋊Dic73—21no—
541C4⋊Dic73—21no—
542C4⋊Dic73C2411yescharacteristic
543C4⋊Dic73C2411yescharacteristic
544C4⋊Dic73C2411yescharacteristic
545C4⋊Dic73C2411yescharacteristic
546#11924007—21no—
547#11924007—21no—
548#11924007—21no—
549#11924007—21no—
550#11924007—21no—
551#11924007—21no—
552#11924007—21no—
553#11924007—21no—
554#11924007—21no—
555#11924007—21no—
556#11924007—21no—
557#11924007—21no—
558C22⋊Dic73—21no—
559C22⋊Dic73—21no—
560C22⋊Dic73—21no—
561C22⋊Dic73—21no—
562#11924005—21no—
563#11924005—21no—
564#11924005—21no—
565#11924005—21no—
566#11924005—21no—
567#11924005—21no—
568#11924005—21no—
569#11924005—21no—
570#11924005—21no—
571#11924005—21no—
572#11924005—21no—
573#11924005—21no—
574C4×Dic73—21no—
575C4×Dic73—21no—
576C4×Dic73—21no—
577C4×Dic73—21no—
578C4×Dic73—21no—
579C4×Dic73—21no—
580C4×Dic73—21no—
581C4×Dic73—21no—
582#41×C73—22no—
583#41×C73—42no—
584#41×C73—41no—
585#41×C73—44no—
586C2×Q8×C73—21no—
587C2×Q8×C73—21no—
588C2×Q8×C73—21no—
589C2×Q8×C73—22no—
590C2×Q8×C73—22no—
591C2×Q8×C73—41no—
592C2×Q8×C73—41no—
593C2×Q8×C73C2×D411yescharacteristic
594C2×Q8×C73C2411yescharacteristic
595C2×Q8×C73C2411yescharacteristic
596C2×Q8×C73C2411yescharacteristic
597C2×D4×C73—21no—
598C2×D4×C73—21no—
599C2×D4×C73—21no—
600C2×D4×C73C2×D411yescharacteristic
601C2×D4×C73C2×D411yescharacteristic
602C2×D4×C73C2×D411yescharacteristic
603C2×D4×C73C2411yescharacteristic
604C22×C4×C73—21no—
605C22×C4×C73—21no—
606C22×C4×C73—21no—
607C22×C4×C73—21no—
608C22×C4×C73—21no—
609C22×C4×C73—21no—
610C22×C4×C73—21no—
611C22×C4×C73C2×D411yescharacteristic
612C22×C4×C73C2×D411yescharacteristic
613C22×C4×C73C2×D411yescharacteristic
614C22×C4×C73C2×D411yescharacteristic
615C22×C4×C73C2×D411yescharacteristic
616C22×C4×C73C2×D411yescharacteristic
617C22×C4×C73C2411yescharacteristic
618C22×C4×C73C2411yescharacteristic
619C22×C4×C73C2411yescharacteristic
620C4⋊C4×C73—21no—
621C4⋊C4×C73—21no—
622C4⋊C4×C73—21no—
623C4⋊C4×C73—21no—
624C4⋊C4×C73—21no—
625C4⋊C4×C73—21no—
626C4⋊C4×C73—21no—
627C4⋊C4×C73—21no—
628C4⋊C4×C73—21no—
629C4⋊C4×C73—21no—
630C4⋊C4×C73—21no—
631C4⋊C4×C73—21no—
632C4⋊C4×C73—21no—
633C4⋊C4×C73—21no—
634C4⋊C4×C73—21no—
635C4⋊C4×C73—21no—
636C4⋊C4×C73—21no—
637C4⋊C4×C73—21no—
638C4⋊C4×C73—21no—
639C4⋊C4×C73—21no—
640C4⋊C4×C73—21no—
641C4⋊C4×C73C2×D411yescharacteristic
642C4⋊C4×C73C2×D411yescharacteristic
643C4⋊C4×C73C2×D411yescharacteristic
644C4⋊C4×C73C2×D411yescharacteristic
645C4⋊C4×C73C2×D411yescharacteristic
646C4⋊C4×C73C2×D411yescharacteristic
647C4⋊C4×C73C2411yescharacteristic
648C4⋊C4×C73C2411yescharacteristic
649C4⋊C4×C73C2411yescharacteristic
650C4⋊C4×C73C2411yescharacteristic
651C22⋊C4×C73—21no—
652C22⋊C4×C73—21no—
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×C73—21no—
662C22⋊C4×C73—21no—
663C22⋊C4×C73—21no—
664C22⋊C4×C73C2×D411yescharacteristic
665C22⋊C4×C73C2×D411yescharacteristic
666C22⋊C4×C73C2×D411yescharacteristic
667C22⋊C4×C73C2×D411yescharacteristic
668C22⋊C4×C73C2×D411yescharacteristic
669C22⋊C4×C73C2×D411yescharacteristic
670C42×C73—21no—
671C42×C73—21no—
672C42×C73—21no—
673C42×C73—21no—
674C42×C73—21no—
675C42×C73—21no—
676C42×C73—21no—
677C42×C73—21no—
678C42×C73—21no—
679C42×C73C2×D411yescharacteristic
680C42×C73C2×D411yescharacteristic
681C42×C73C2×D411yescharacteristic
682C42×C73C2×D411yescharacteristic
683C42×C73C2×D411yescharacteristic
684C42×C73C2×D411yescharacteristic
685C42×C73C2411yescharacteristic
686C42×C73C2411yescharacteristic
687C42×C73C2411yescharacteristic
688C42×C73C2411yescharacteristic
689C23×C73—21no—
690C23×C73C22×D411yescharacteristic
691C23×C73C22×D411yescharacteristic
692C23×C73C22×D411yescharacteristic
693C22×D73—21no—
694C22×D73—21no—
695Q8×C73—21no—
696Q8×C73—21no—
697Q8×C73—21no—
698Q8×C73—21no—
699Q8×C73—21no—
700Q8×C73—41no—
701Q8×C73—42no—
702Q8×C73—42no—
703Q8×C73—42no—
704Q8×C73C2×#4112yes—
705D4×C73—22no—
706D4×C73—22no—
707D4×C73—21no—
708D4×C73—21no—
709D4×C73—41no—
710D4×C73—42no—
711D4×C73—42no—
712D4×C73—42no—
713C2×C4×C73—22no—
714C2×C4×C73—21no—
715C2×C4×C73—21no—
716C2×C4×C73—21no—
717C2×C4×C73—21no—
718C2×C4×C73—21no—
719C2×C4×C73—21no—
720C2×C4×C73—21no—
721C2×C4×C73—21no—
722C2×C4×C73—21no—
723C2×C4×C73—21no—
724C2×C4×C73—21no—
725C2×C4×C73—21no—
726C2×C4×C73—21no—
727C2×C4×C73—41no—
728C2×C4×C73—41no—
729C2×C4×C73—41no—
730C2×C4×C73—41no—
731C2×C4×C73—41no—
732C2×C4×C73—42no—
733C2×C4×C73—42no—
734C2×C4×C73—42no—
735C2×C4×C73—42no—
736C2×C4×C73—42no—
737C2×C4×C73—42no—
738C2×C4×C73—42no—
739C2×C4×C73C22×D411yescharacteristic
740C2×C4×C73C22×D411yescharacteristic
741C2×C4×C73C22×D411yescharacteristic
742C2×C4×C73C22×D411yescharacteristic
743C2×C4×C73C22×D411yescharacteristic
744C2×C4×C73C22×D411yescharacteristic
745C2×C4×C73C22×D411yescharacteristic
746C2×C4×C73C22×D411yescharacteristic
747C2×C4×C73C22×D411yescharacteristic
748C2×C4×C73C22×D411yescharacteristic
749C2×C4×C73C22×D411yescharacteristic
750C2×C4×C73C2511yescharacteristic
751C22⋊D73—42no—
752C22⋊D73—42no—
753C22⋊D73—42no—
754C22⋊D73—42no—
755C22⋊D73—81no—
756C22⋊D73—81no—
757C2×Dic73—21no—
758C2×Dic73—21no—
759C2×Dic73—21no—
760C2×Dic73—21no—
761C2×Dic73—21no—
762C2×Dic73—21no—
763C2×Dic73—42no—
764C2×Dic73—81no—
765D292—21no—
766D292—21no—
767D292—21no—
768D292—21no—
769D292—42no—
770D292—81no—
771C4×D73—42no—
772C4×D73—42no—
773C4×D73—42no—
774C4×D73—42no—
775C4×D73—81no—
776C4×D73—81no—
777Dic146—21no—
778Dic146—21no—
779Dic146—21no—
780Dic146—42no—
781Dic146—42no—
782Dic146C2×#4112yes—
783#10596831—21no—
784#10596831—21no—
785#10596831—21no—
786#10596831—21no—
787#10596831—21no—
788#10596831—21no—
789#10596831—21no—
790#10596831C2×#4112yes—
791C22×C73—21no—
792C22×C73—21no—
793C22×C73—21no—
794C22×C73—21no—
795C22×C73—21no—
796C22×C73—21no—
797C22×C73—21no—
798C22×C73—21no—
799C22×C73—41no—
800C22×C73—41no—
801C22×C73—41no—
802C22×C73#57512yes—
803C22×C73C23×D411yescharacteristic
804C2×D73—41no—
805C2×D73—41no—
806C2×D73—41no—
807C2×D73—41no—
808C2×D73—41no—
809C2×D73—41no—
810C4×C73—21no—
811C4×C73—21no—
812C4×C73—21no—
813C4×C73—21no—
814C4×C73—21no—
815C4×C73—21no—
816C4×C73—21no—
817C4×C73—22no—
818C4×C73—21no—
819C4×C73—21no—
820C4×C73—21no—
821C4×C73—21no—
822C4×C73—41no—
823C4×C73—41no—
824C4×C73—41no—
825C4×C73—41no—
826C4×C73—41no—
827C4×C73—41no—
828C4×C73C22×#4111yescharacteristic
829C4×C73#58511yescharacteristic
830Dic73—22no—
831Dic73—41no—
832Dic73—41no—
833Dic73—41no—
834Dic73—41no—
835Dic73—41no—
836#61458—731nomaximal, Sylow
837C2×C73—22no—
838C2×C73—41no—
839C2×C73—41no—
840C2×C73—81no—
841C2×C73D4×#4111yescharacteristic
842C2×C73C2×#57511yescharacteristic
843C2×C73#358611yescharacteristic
844D73—81no—
845D73—81no—
846#3482D7311yescharacteristic, complemented
847#3480—731no—
848#3401—731no—
849#3390—731no—
850#3377—731no—
851#3371—731no—
852#3349—731no—
853#3345—731no—
854#3337—731no—
855#3320—731no—
856#3317—731no—
857#3313—731no—
858#3308—731no—
859#3301—731no—
860#3300—731no—
861#3285—731no—
862#3271—731no—
863#3270—731no—
864#3183—731no—
865#3181—731no—
866#3180—731no—
867#3117—731no—
868#3117—731no—
869#3116—731no—
870#3112—731no—
871#3111—731no—
872#3111—731no—
873#2970—731no—
874C4×#137—731no—
875#2943—731no—
876C2×#441—731no—
877C73#6145811yescharacteristic, complemented, Sylow
878C2×#137—731no—
879C2×#135—731no—
880C22×Q16—731no—
881#559—731no—
882#559—1461no—
883#557—731no—
884#557C2×D7311yescharacteristic
885#556—21no—
886#556—731no—
887#556—1461no—
888#556C2×D7311yescharacteristic
889#553—731no—
890#553—731no—
891#553—1461no—
892#553—1461no—
893#552—21no—
894#552—21no—
895#552C2×D7311yescharacteristic
896#552C2×D7311yescharacteristic
897#550—731no—
898D4×Q8C2×D7311yescharacteristic
899#548—731no—
900#548—731no—
901#548C2×D7311yescharacteristic
902#548C2×D7311yescharacteristic
903#547—21no—
904#547C2×D7311yescharacteristic
905#533—21no—
906#533C2×D7311yescharacteristic
907#532—731no—
908#532—1461no—
909#529—21no—
910#529—21no—
911#529—731no—
912#529—731no—
913#529—1461no—
914#529—1461no—
915#529C2×D7311yescharacteristic
916#529C2×D7311yescharacteristic
917C4×#41—21no—
918C4×#41—731no—
919C4×#41—731no—
920C4×#41—1461no—
921C4×#41C2×D7311yescharacteristic
922C4×#41C2×D7311yescharacteristic
923C2×C4×Q8—731no—
924C2×C4×Q8C2×D7311yescharacteristic
925C2×C4×Q8C2×D7311yescharacteristic
926#501—731no—
927#501—731no—
928#499—731no—
929#497—731no—
930#496—731no—
931#495—731no—
932#491—731no—
933#490—731no—
934#489—731no—
935#489—731no—
936#488—731no—
937#488—731no—
938#485—731no—
939#485—731no—
940#485—731no—
941#485—731no—
942#484—731no—
943#484—731no—
944#482—731no—
945#482—731no—
946#481—731no—
947#481—731no—
948#480—731no—
949#480—731no—
950#479—731no—
951#479—731no—
952#479—731no—
953#479—731no—
954#479—731no—
955#479—731no—
956#478—731no—
957#478—731no—
958#477—731no—
959#477—731no—
960#477—731no—
961#476—731no—
962#470—731no—
963#469—731no—
964#468—731no—
965#468—731no—
966#467—731no—
967#467—731no—
968#466—731no—
969#466—731no—
970#465—731no—
971#465—731no—
972#465—731no—
973#465—731no—
974#464—731no—
975#464—731no—
976#464—731no—
977#464—731no—
978#464—731no—
979#464—731no—
980#463—731no—
981#463—731no—
982#462—731no—
983#461—731no—
984#460—731no—
985#460—731no—
986#452—731no—
987#452—731no—
988#452—731no—
989#452—731no—
990#451—731no—
991#451—731no—
992#449—731no—
993#449—731no—
994#448—731no—
995#448—731no—
996#448—731no—
997#448—731no—
998#446—731no—
999#446—731no—
1000#442—731no—
1001#442—731no—
1002#442—731no—
1003#441—731no—
1004#441—731no—
1005#441—731no—
1006#441—731no—
1007#441—731no—
1008#441—731no—
1009#441—731no—
1010#441—731no—
1011#441—731no—
1012#441—731no—
1013#441—731no—
1014#440—731no—
1015#440—731no—
1016#440—731no—
1017#440—731no—
1018#440—731no—
1019#440—731no—
1020#440—731no—
1021#440—731no—
1022#440—731no—
1023#440—731no—
1024C4×Q16—731no—
1025C4×Q16—731no—
1026C4×SD16—731no—
1027C4×SD16—731no—
1028#435—731no—
1029#435—731no—
1030#435—731no—
1031#435—731no—
1032C8×D4—731no—
1033C8×D4—731no—
1034#432—731no—
1035#432—731no—
1036#432—731no—
1037#428—731no—
1038#427—731no—
1039C2×#106—731no—
1040#419—731no—
1041#417—731no—
1042#416—731no—
1043#416—731no—
1044C2×#103—731no—
1045C2×#103—731no—
1046C4×M16—731no—
1047C2×#97—731no—
1048C2×#97—731no—
1049C2×#41—21no—
1050C2×#41—731no—
1051C2×#41—731no—
1052C2×#41—1461no—
1053C2×#41C22⋊D7311yescharacteristic
1054C2×#41C22×D7311yescharacteristic
1055C22×Q8—731no—
1056C22×Q8C22×D7311yescharacteristic
1057C22×Q8C22×D7311yescharacteristic
1058#137—1464no—
1059#135—1464no—
1060C2×Q16—731no—
1061C2×Q16—731no—
1062C2×Q16—731no—
1063C2×Q16—731no—
1064C2×Q16—731no—
1065C2×Q16—731no—
1066C2×Q16—1464no—
1067C2×SD16—731no—
1068C2×SD16—731no—
1069C2×SD16—731no—
1070C2×SD16—731no—
1071C2×SD16—731no—
1072C2×SD16—731no—
1073C2×SD16—731no—
1074C2×SD16—731no—
1075C2×D8—731no—
1076C2×D8—731no—
1077C2×M16—731no—
1078C2×M16—731no—
1079C22×C8—731no—
1080C22×C8—731no—
1081C22×C8—731no—
1082C22×C8—731no—
1083C4⋊Q8—21no—
1084C4⋊Q8—21no—
1085C4⋊Q8—731no—
1086C4⋊Q8—1461no—
1087C4⋊Q8C22×D7311yescharacteristic
1088C4⋊Q8C22×D7311yescharacteristic
1089#127—731no—
1090#127—1461no—
1091#126—21no—
1092#126—21no—
1093#126—21no—
1094#126—21no—
1095#126—21no—
1096#126—21no—
1097#126—1461no—
1098#126—1461no—
1099#126—1461no—
1100#126—1461no—
1101#126—1461no—
1102#126—1461no—
1103#125—21no—
1104#125—21no—
1105#125—21no—
1106#125—21no—
1107#125—21no—
1108#125—731no—
1109#125—731no—
1110#125—1461no—
1111#125—1461no—
1112#125C22×D7311yescharacteristic
1113#125C22×D7311yescharacteristic
1114#124—21no—
1115#124—21no—
1116#124—731no—
1117#124—731no—
1118#124—1461no—
1119#124—1461no—
1120#124—1461no—
1121#124—1461no—
1122#124—1461no—
1123#124C22×D7311yescharacteristic
1124#124C22×D7311yescharacteristic
1125#123—21no—
1126#123—21no—
1127#123—21no—
1128#123—21no—
1129#123—21no—
1130#123—21no—
1131#123—1461no—
1132#123—1461no—
1133#123—1461no—
1134#123—1461no—
1135#123—1461no—
1136#123—1461no—
1137C22⋊Q8—21no—
1138C22⋊Q8—21no—
1139C22⋊Q8—21no—
1140C22⋊Q8—21no—
1141C22⋊Q8—21no—
1142C22⋊Q8—21no—
1143C22⋊Q8—21no—
1144C22⋊Q8—731no—
1145C22⋊Q8—731no—
1146C22⋊Q8—1461no—
1147C22⋊Q8—1461no—
1148C22⋊Q8C22×D7311yescharacteristic
1149C22⋊Q8C22×D7311yescharacteristic
1150C22⋊Q8C22×D7311yescharacteristic
1151C22⋊Q8C22×D7311yescharacteristic
1152#121—21no—
1153#121—21no—
1154#121—731no—
1155#121—731no—
1156#121—731no—
1157#121—731no—
1158#121—1461no—
1159#121—1461no—
1160#121—1461no—
1161#121—1461no—
1162#121—1461no—
1163#121—1461no—
1164#121—1461no—
1165#121C22×D7311yescharacteristic
1166#121C22×D7311yescharacteristic
1167C4×Q8—21no—
1168C4×Q8—21no—
1169C4×Q8—21no—
1170C4×Q8—21no—
1171C4×Q8—21no—
1172C4×Q8—21no—
1173C4×Q8—731no—
1174C4×Q8—731no—
1175C4×Q8—731no—
1176C4×Q8—731no—
1177C4×Q8—731no—
1178C4×Q8—731no—
1179C4×Q8—1461no—
1180C4×Q8—1461no—
1181C4×Q8—1461no—
1182C4×Q8—1461no—
1183C4×Q8C22⋊D7311yescharacteristic
1184C4×Q8C22×D7311yescharacteristic
1185C4×Q8C22×D7311yescharacteristic
1186C4×Q8C22×D7311yescharacteristic
1187C4×Q8C22×D7311yescharacteristic
1188C4×Q8C22×D7311yescharacteristic
1189C4×Q8C22×D7311yescharacteristic
1190C4×Q8C22×D7311yescharacteristic
1191C4×Q8C22×D7311yescharacteristic
1192C4×Q8C22×D7311yescharacteristic
1193C4×D4—21no—
1194C4×D4—21no—
1195C4×D4—21no—
1196C4×D4—21no—
1197C4×D4—21no—
1198C4×D4—21no—
1199C4×D4—21no—
1200C4×D4—731no—
1201C4×D4—731no—
1202C4×D4—731no—
1203C4×D4—731no—
1204C4×D4—1461no—
1205C4×D4—1461no—
1206C4×D4—1461no—
1207C4×D4—1461no—
1208C4×D4—1461no—
1209C4×D4—1461no—
1210C4×D4—1461no—
1211C4×D4—1461no—
1212C4×D4—1461no—
1213C4×D4—1461no—
1214C4×D4—1461no—
1215C4×D4—1461no—
1216C4×D4—1461no—
1217C4×D4C22⋊D7311yescharacteristic
1218C4×D4C22⋊D7311yescharacteristic
1219C4×D4C22⋊D7311yescharacteristic
1220C4×D4C22×D7311yescharacteristic
1221C4×D4C22×D7311yescharacteristic
1222C4×D4C22×D7311yescharacteristic
1223C4×D4C22×D7311yescharacteristic
1224C4×D4C22×D7311yescharacteristic
1225#117—21no—
1226#117—21no—
1227#117—21no—
1228#117—21no—
1229#117—21no—
1230#117—21no—
1231#117—21no—
1232#117—731no—
1233#117—731no—
1234#117—1461no—
1235#117—1461no—
1236#117—1461no—
1237#117—1461no—
1238#117C22⋊D7311yescharacteristic
1239#117C22⋊D7311yescharacteristic
1240#117C22⋊D7311yescharacteristic
1241#117C22×D7311yescharacteristic
1242C2×C4⋊C4—21no—
1243C2×C4⋊C4—21no—
1244C2×C4⋊C4—731no—
1245C2×C4⋊C4—1461no—
1246C2×C4⋊C4C22×D7311yescharacteristic
1247C2×C4⋊C4C22×D7311yescharacteristic
1248C2×C42—21no—
1249C2×C42—21no—
1250C2×C42—21no—
1251C2×C42—1461no—
1252C2×C42—1461no—
1253C2×C42—1461no—
1254C2×C42C22×D7311yescharacteristic
1255C2×C42C22×D7311yescharacteristic
1256C2×C42C22×D7311yescharacteristic
1257#107—731no—
1258#107—731no—
1259#107—731no—
1260#107—731no—
1261#107—731no—
1262#107—731no—
1263#107—731no—
1264#107—731no—
1265#106—731no—
1266#106—731no—
1267#106—731no—
1268#106—731no—
1269#106—731no—
1270#106—731no—
1271#106—731no—
1272#106—731no—
1273C4⋊C8—731no—
1274C4⋊C8—731no—
1275C4⋊C8—731no—
1276C4⋊C8—731no—
1277C4⋊C8—731no—
1278C4⋊C8—731no—
1279#103—731no—
1280#103—731no—
1281#103—731no—
1282#103—731no—
1283#103—731no—
1284#103—731no—
1285#103—731no—
1286#103—731no—
1287#103—731no—
1288#103—731no—
1289#103—731no—
1290#103—731no—
1291#103—731no—
1292#103—731no—
1293#103—731no—
1294#103—731no—
1295#103—731no—
1296#103—731no—
1297#103—731no—
1298#103—731no—
1299#102—731no—
1300#102—731no—
1301#102—731no—
1302#102—731no—
1303#102—731no—
1304#102—731no—
1305#102—731no—
1306#102—731no—
1307#102—731no—
1308#102—731no—
1309#102—731no—
1310#102—731no—
1311C22⋊C8—731no—
1312C22⋊C8—731no—
1313C22⋊C8—731no—
1314C22⋊C8—731no—
1315C22⋊C8—731no—
1316C22⋊C8—731no—
1317#97—731no—
1318#97—731no—
1319#97—731no—
1320#97—731no—
1321#97—731no—
1322#97—731no—
1323#97—731no—
1324#97—731no—
1325C4×C8—731no—
1326C4×C8—731no—
1327#41—22no—
1328#41—42no—
1329#41—41no—
1330#41—44no—
1331#41—2924no—
1332#41—2921no—
1333#41—2921no—
1334#41—1462no—
1335#41—1462no—
1336C2×Q8—21no—
1337C2×Q8—21no—
1338C2×Q8—21no—
1339C2×Q8—22no—
1340C2×Q8—22no—
1341C2×Q8—41no—
1342C2×Q8—41no—
1343C2×Q8—2921no—
1344C2×Q8—731no—
1345C2×Q8—731no—
1346C2×Q8—1462no—
1347C2×Q8—1461no—
1348C2×Q8—1461no—
1349C2×Q8C2×C22⋊D7311yescharacteristic
1350C2×Q8C23×D7311yescharacteristic
1351C2×Q8C23×D7311yescharacteristic
1352C2×Q8C23×D7311yescharacteristic
1353C2×D4—21no—
1354C2×D4—21no—
1355C2×D4—21no—
1356C2×D4—731no—
1357C2×D4—731no—
1358C2×D4—1461no—
1359C2×D4—1461no—
1360C2×D4—1461no—
1361C2×D4—1461no—
1362C2×D4—1461no—
1363C2×D4—1461no—
1364C2×D4—1461no—
1365C2×D4—1461no—
1366C2×D4C2×C22⋊D7311yescharacteristic
1367C2×D4C2×C22⋊D7311yescharacteristic
1368C2×D4C2×C22⋊D7311yescharacteristic
1369C2×D4C23×D7311yescharacteristic
1370C22×C4—21no—
1371C22×C4—21no—
1372C22×C4—21no—
1373C22×C4—21no—
1374C22×C4—21no—
1375C22×C4—21no—
1376C22×C4—21no—
1377C22×C4—1461no—
1378C22×C4—1461no—
1379C22×C4—1461no—
1380C22×C4—1461no—
1381C22×C4—1461no—
1382C22×C4—1461no—
1383C22×C4—1461no—
1384C22×C4—1461no—
1385C22×C4C2×C22⋊D7311yescharacteristic
1386C22×C4C2×C22⋊D7311yescharacteristic
1387C22×C4C2×C22⋊D7311yescharacteristic
1388C22×C4C2×C22⋊D7311yescharacteristic
1389C22×C4C2×C22⋊D7311yescharacteristic
1390C22×C4C2×C22⋊D7311yescharacteristic
1391C22×C4C23×D7311yescharacteristic
1392C22×C4C23×D7311yescharacteristic
1393C22×C4C23×D7311yescharacteristic
1394Q16—2921no—
1395Q16—734no—
1396Q16—1462no—
1397Q16—1462no—
1398Q16—1462no—
1399Q16—1462no—
1400SD16—2921no—
1401SD16—2921no—
1402SD16—2921no—
1403SD16—2921no—
1404SD16—1462no—
1405SD16—1462no—
1406SD16—1462no—
1407SD16—1462no—
1408D8—2921no—
1409D8—1462no—
1410M16—2921no—
1411M16—1462no—
1412C2×C8—2921no—
1413C2×C8—2921no—
1414C2×C8—731no—
1415C2×C8—731no—
1416C2×C8—731no—
1417C2×C8—731no—
1418C2×C8—731no—
1419C2×C8—731no—
1420C2×C8—731no—
1421C2×C8—731no—
1422C2×C8—1462no—
1423C2×C8—1462no—
1424C4⋊C4—21no—
1425C4⋊C4—21no—
1426C4⋊C4—21no—
1427C4⋊C4—21no—
1428C4⋊C4—21no—
1429C4⋊C4—21no—
1430C4⋊C4—21no—
1431C4⋊C4—21no—
1432C4⋊C4—21no—
1433C4⋊C4—21no—
1434C4⋊C4—21no—
1435C4⋊C4—21no—
1436C4⋊C4—21no—
1437C4⋊C4—21no—
1438C4⋊C4—21no—
1439C4⋊C4—21no—
1440C4⋊C4—21no—
1441C4⋊C4—21no—
1442C4⋊C4—21no—
1443C4⋊C4—21no—
1444C4⋊C4—21no—
1445C4⋊C4—731no—
1446C4⋊C4—731no—
1447C4⋊C4—731no—
1448C4⋊C4—731no—
1449C4⋊C4—1461no—
1450C4⋊C4—1461no—
1451C4⋊C4—1461no—
1452C4⋊C4—1461no—
1453C4⋊C4—1461no—
1454C4⋊C4—1461no—
1455C4⋊C4—1461no—
1456C4⋊C4—1461no—
1457C4⋊C4—1461no—
1458C4⋊C4—1461no—
1459C4⋊C4—1461no—
1460C4⋊C4—1461no—
1461C4⋊C4—1461no—
1462C4⋊C4—1461no—
1463C4⋊C4C2×C22⋊D7311yescharacteristic
1464C4⋊C4C2×C22⋊D7311yescharacteristic
1465C4⋊C4C2×C22⋊D7311yescharacteristic
1466C4⋊C4C2×C22⋊D7311yescharacteristic
1467C4⋊C4C2×C22⋊D7311yescharacteristic
1468C4⋊C4C2×C22⋊D7311yescharacteristic
1469C4⋊C4C23×D7311yescharacteristic
1470C4⋊C4C23×D7311yescharacteristic
1471C4⋊C4C23×D7311yescharacteristic
1472C4⋊C4C23×D7311yescharacteristic
1473C22⋊C4—21no—
1474C22⋊C4—21no—
1475C22⋊C4—21no—
1476C22⋊C4—21no—
1477C22⋊C4—21no—
1478C22⋊C4—21no—
1479C22⋊C4—21no—
1480C22⋊C4—21no—
1481C22⋊C4—21no—
1482C22⋊C4—21no—
1483C22⋊C4—21no—
1484C22⋊C4—21no—
1485C22⋊C4—21no—
1486C22⋊C4—1461no—
1487C22⋊C4—1461no—
1488C22⋊C4—1461no—
1489C22⋊C4—1461no—
1490C22⋊C4—1461no—
1491C22⋊C4—1461no—
1492C22⋊C4—1461no—
1493C22⋊C4—1461no—
1494C22⋊C4—1461no—
1495C22⋊C4—1461no—
1496C22⋊C4—1461no—
1497C22⋊C4—1461no—
1498C22⋊C4—1461no—
1499C22⋊C4—1461no—
1500C22⋊C4—1461no—
1501C22⋊C4—1461no—
1502C22⋊C4C2×C22⋊D7311yescharacteristic
1503C22⋊C4C2×C22⋊D7311yescharacteristic
1504C22⋊C4C2×C22⋊D7311yescharacteristic
1505C22⋊C4C2×C22⋊D7311yescharacteristic
1506C22⋊C4C2×C22⋊D7311yescharacteristic
1507C22⋊C4C2×C22⋊D7311yescharacteristic
1508C42—21no—
1509C42—21no—
1510C42—21no—
1511C42—21no—
1512C42—21no—
1513C42—21no—
1514C42—21no—
1515C42—21no—
1516C42—21no—
1517C42—1461no—
1518C42—1461no—
1519C42—1461no—
1520C42—1461no—
1521C42—1461no—
1522C42—1461no—
1523C42—1461no—
1524C42—1461no—
1525C42C2×C22⋊D7311yescharacteristic
1526C42C2×C22⋊D7311yescharacteristic
1527C42C2×C22⋊D7311yescharacteristic
1528C42C2×C22⋊D7311yescharacteristic
1529C42C2×C22⋊D7311yescharacteristic
1530C42C2×C22⋊D7311yescharacteristic
1531C42C23×D7311yescharacteristic
1532C42C23×D7311yescharacteristic
1533C42C23×D7311yescharacteristic
1534C42C23×D7311yescharacteristic
1535C23—21no—
1536C23—1461no—
1537C23—1461no—
1538C23C22×C22⋊D7311yescharacteristic
1539C23C22×C22⋊D7311yescharacteristic
1540C23C22×C22⋊D7311yescharacteristic
1541Q8—21no—
1542Q8—21no—
1543Q8—21no—
1544Q8—21no—
1545Q8—21no—
1546Q8—41no—
1547Q8—42no—
1548Q8—42no—
1549Q8—42no—
1550Q8—2922no—
1551Q8—2922no—
1552Q8—732no—
1553Q8—1461no—
1554Q8—1461no—
1555Q8—1461no—
1556Q8#41×D7312yes—
1557D4—22no—
1558D4—22no—
1559D4—21no—
1560D4—21no—
1561D4—41no—
1562D4—42no—
1563D4—42no—
1564D4—42no—
1565D4—2922no—
1566D4—2922no—
1567D4—2922no—
1568D4—2922no—
1569D4—2922no—
1570D4—5841no—
1571D4—5841no—
1572D4—5841no—
1573D4—1461no—
1574D4—1461no—
1575D4—1461no—
1576D4—1461no—
1577C2×C4—22no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—41no—
1592C2×C4—41no—
1593C2×C4—41no—
1594C2×C4—41no—
1595C2×C4—41no—
1596C2×C4—42no—
1597C2×C4—42no—
1598C2×C4—42no—
1599C2×C4—42no—
1600C2×C4—42no—
1601C2×C4—42no—
1602C2×C4—42no—
1603C2×C4—2922no—
1604C2×C4—2922no—
1605C2×C4—2922no—
1606C2×C4—2922no—
1607C2×C4—2922no—
1608C2×C4—5841no—
1609C2×C4—5841no—
1610C2×C4—5841no—
1611C2×C4—1461no—
1612C2×C4—1461no—
1613C2×C4—1461no—
1614C2×C4—1461no—
1615C2×C4—1461no—
1616C2×C4—1461no—
1617C2×C4C22×C22⋊D7311yescharacteristic
1618C2×C4C22×C22⋊D7311yescharacteristic
1619C2×C4C22×C22⋊D7311yescharacteristic
1620C2×C4C22×C22⋊D7311yescharacteristic
1621C2×C4C22×C22⋊D7311yescharacteristic
1622C2×C4C22×C22⋊D7311yescharacteristic
1623C2×C4C22×C22⋊D7311yescharacteristic
1624C2×C4C22×C22⋊D7311yescharacteristic
1625C2×C4C22×C22⋊D7311yescharacteristic
1626C2×C4C22×C22⋊D7311yescharacteristic
1627C2×C4C22×C22⋊D7311yescharacteristic
1628C2×C4C24×D7311yescharacteristic
1629C8—732no—
1630C8—1461no—
1631C8—1461no—
1632C8—1461no—
1633C8—1461no—
1634C8—1461no—
1635C8—1461no—
1636C8—1461no—
1637C22—21no—
1638C22—21no—
1639C22—21no—
1640C22—21no—
1641C22—21no—
1642C22—21no—
1643C22—21no—
1644C22—21no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—2921no—
1649C22—2921no—
1650C22—2921no—
1651C22—2921no—
1652C22—2921no—
1653C22—2921no—
1654C22#1798938512yes—
1655C22C23×C22⋊D7311yescharacteristic
1656C4—21no—
1657C4—21no—
1658C4—21no—
1659C4—21no—
1660C4—21no—
1661C4—21no—
1662C4—21no—
1663C4—22no—
1664C4—21no—
1665C4—21no—
1666C4—21no—
1667C4—21no—
1668C4—41no—
1669C4—41no—
1670C4—41no—
1671C4—41no—
1672C4—41no—
1673C4—41no—
1674C4—2921no—
1675C4—2921no—
1676C4—2921no—
1677C4—2921no—
1678C4—2921no—
1679C4—1462no—
1680C4C2×#41×D7311yescharacteristic
1681C4#1798942311yescharacteristic
1682C2—22no—
1683C2—41no—
1684C2—41no—
1685C2—81no—
1686C2—5841no—
1687C2—5841no—
1688C2#41×C22⋊D7311yescharacteristic
1689C2C2×#1798938511yescharacteristic
1690C2#2262471811yescharacteristic
subgroupG/H
centerC22C23×C22⋊D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3482C2
socleC22×C73C23×D4
hypercenter#3482D73
hypocenterC73#61458
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×#41 ◁ #3482

Complements

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

NH ≅ G/Ntype
1. #22623524C2semidirect
2. #22622997C2semidirect
3. #22622894C2semidirect
4. #22622767C2semidirect
5. #22622699C2semidirect
6. #22622461C2semidirect
7. #22622401C2semidirect
8. #22622310C2semidirect
9. #22622102C2semidirect
10. #22622051C2semidirect
11. #22621997C2semidirect
12. #22621916C2semidirect
13. #22621833C2semidirect
14. #22621812C2semidirect
15. #22621668C2semidirect
16. #22621517C2semidirect
17. #22621502C2semidirect
18. #22620654C2semidirect
19. #22620634C2semidirect
20. #22620630C2semidirect
21. #22620102C2semidirect
22. #22620098C2semidirect
23. #22620087C2semidirect
24. #22620053C2semidirect
25. #22620040C2semidirect
26. #22620034C2semidirect
27. #22618945C2semidirect
28. C4×#14556622C2semidirect
29. #22618729C2semidirect
30. C2×#17988692C2semidirect
31. C73×#3482C2semidirect
515. #11924018#41semidirect
846. #3482D73semidirect
877. C73#61458semidirect

Maximal subgroups

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

subgroupindex
#226235242
#226229972
#226228942
#226227672
#226226992
#226224612
#226224012
#226223102
#226221022
#226220512
#226219972
#226219162
#226218332
#226218122
#226216682
#226215172
#226215022
#226206542
#226206342
#226206302
#226201022
#226200982
#226200872
#226200532
#226200402
#226200342
#226189452
C4×#145566222
#226187292
C2×#179886922
C73×#34822
#6145873