Finite Group Databasebeta

← #33972818

Subgroups — #33972818

Order 18688.

2200 conjugacy classes of subgroups.

The subgroup lattice has 1964 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624326C211yesmaximal, characteristic, complemented
2#22623706C211yesmaximal, characteristic, complemented
3#22622267C211yesmaximal, characteristic, complemented
4#22622264C211yesmaximal, characteristic, complemented
5#22622256C211yesmaximal, characteristic, complemented
6#22622253C211yesmaximal, characteristic, complemented
7#22621753C211yesmaximal, characteristic, complemented
8#22621750C211yesmaximal, characteristic, complemented
9#22621742C211yesmaximal, characteristic, complemented
10#22621739C211yesmaximal, characteristic, complemented
11#22621688C211yesmaximal, characteristic, complemented
12#22621684C211yesmaximal, characteristic, complemented
13#22621659C211yesmaximal, characteristic, complemented
14#22621658C211yesmaximal, characteristic, complemented
15#22621548C211yesmaximal, characteristic, complemented
16#22621544C211yesmaximal, characteristic, complemented
17#22621528C211yesmaximal, characteristic, complemented
18#22621524C211yesmaximal, characteristic, complemented
19#22620870C211yesmaximal, characteristic, complemented
20#22620847C211yesmaximal, characteristic, complemented
21#22620789C211yesmaximal, characteristic, complemented
22#22620783C211yesmaximal, characteristic, complemented
23#22620781C211yesmaximal, characteristic, complemented
24#22619997C211yesmaximal, characteristic, complemented
25#22619986C211yesmaximal, characteristic, complemented
26#22619238C211yesmaximal, characteristic, complemented
27#22619236C211yesmaximal, characteristic, complemented
28#22619232C211yesmaximal, characteristic, complemented
29#22619230C211yesmaximal, characteristic, complemented
30#22618995C211yesmaximal, characteristic, complemented
31C73×#3198C211yesmaximal, characteristic, complemented
32C2×#14556637C2211yescharacteristic
33C2×#14556636C2211yescharacteristic
34C2×#14556619C2211yescharacteristic, complemented
35C2×#14556618C2211yescharacteristic, complemented
36C2×#14556616C2211yescharacteristic, complemented
37C2×#14556615C2211yescharacteristic, complemented
38C2×#14556613C2211yescharacteristic, complemented
39C2×#14556612C2211yescharacteristic, complemented
40C2×#14556611C2211yescharacteristic, complemented
41C2×#14556610C2211yescharacteristic, complemented
42#17989333—21no—
43#17989332—21no—
44#17989295C2211yescharacteristic, complemented
45#17989292C2211yescharacteristic, complemented
46#17989291—21no—
47#17989256C2211yescharacteristic, complemented
48#17989255—21no—
49#17989255C2211yescharacteristic
50#17989255C2211yescharacteristic
51#17989255C2211yescharacteristic
52#17989255C2211yescharacteristic
53#17989255C2211yescharacteristic, complemented
54#17989239C2211yescharacteristic, complemented
55#17989238C2211yescharacteristic, complemented
56#17989237C2211yescharacteristic, complemented
57#17989236C2211yescharacteristic, complemented
58#17989221C2211yescharacteristic
59#17989221C2211yescharacteristic
60#17989221C2211yescharacteristic
61#17989221C2211yescharacteristic
62#17989219—21no—
63#17989219—21no—
64#17989219—21no—
65#17989219—21no—
66#17989187—21no—
67#17989187—21no—
68#17989167C2211yescharacteristic, complemented
69#17989166—21no—
70#17989166C2211yescharacteristic, complemented
71#17989165C2211yescharacteristic, complemented
72#17989164—21no—
73#17989156C2211yescharacteristic
74#17989155—21no—
75#17989150—21no—
76#17989139C2211yescharacteristic, complemented
77#17989136—21no—
78#17989133C2211yescharacteristic
79#17989132C2211yescharacteristic, complemented
80C2×#14556587C2211yescharacteristic
81#127×D73—21no—
82#17989055C2211yescharacteristic
83#17988962C2211yescharacteristic, complemented
84#17988962C2211yescharacteristic, complemented
85#17988958C2211yescharacteristic, complemented
86#17988958C2211yescharacteristic, complemented
87#17988932C2211yescharacteristic, complemented
88#17988932C2211yescharacteristic, complemented
89#17988932C2211yescharacteristic, complemented
90#17988932C2211yescharacteristic, complemented
91#17988928C2211yescharacteristic, complemented
92#17988911C2211yescharacteristic, complemented
93#17988907C2211yescharacteristic, complemented
94#17988907C2211yescharacteristic, complemented
95#17988903C2211yescharacteristic, complemented
96#17988902C2211yescharacteristic, complemented
97#17988902C2211yescharacteristic, complemented
98#17988898C2211yescharacteristic, complemented
99#17988881C2211yescharacteristic, complemented
100#17988876C2211yescharacteristic, complemented
101#17988871C2211yescharacteristic, complemented
102#17988866C2211yescharacteristic, complemented
103#17988841C2211yescharacteristic, complemented
104#17988839C2211yescharacteristic, complemented
105#17988838C2211yescharacteristic, complemented
106#17988836C2211yescharacteristic, complemented
107#17988834C2211yescharacteristic, complemented
108#17988831C2211yescharacteristic, complemented
109#17988824C2211yescharacteristic, complemented
110#17988822C2211yescharacteristic, complemented
111#17988821C2211yescharacteristic, complemented
112#17988819C2211yescharacteristic, complemented
113#17988817C2211yescharacteristic, complemented
114#17988814C2211yescharacteristic, complemented
115#17988796C2211yescharacteristic, complemented
116#17988791C2211yescharacteristic, complemented
117#17988786C2211yescharacteristic, complemented
118#17988786C2211yescharacteristic, complemented
119#17988786C2211yescharacteristic, complemented
120#17988785C2211yescharacteristic, complemented
121#17988785C2211yescharacteristic, complemented
122#17988781C2211yescharacteristic, complemented
123#17988781C2211yescharacteristic, complemented
124#17988781C2211yescharacteristic, complemented
125#17988780C2211yescharacteristic, complemented
126#17988780C2211yescharacteristic, complemented
127#17988751C2211yescharacteristic
128#17988751C2211yescharacteristic, complemented
129#17988750C2211yescharacteristic, complemented
130#17988747C2211yescharacteristic
131#17988747C2211yescharacteristic, complemented
132#17988746C2211yescharacteristic, complemented
133#17988740C2211yescharacteristic, complemented
134#17988740C2211yescharacteristic, complemented
135#17988739C2211yescharacteristic, complemented
136#17988738C2211yescharacteristic, complemented
137#17988737C2211yescharacteristic, complemented
138#17988737C2211yescharacteristic, complemented
139#17988736C2211yescharacteristic, complemented
140#17988735C2211yescharacteristic, complemented
141#17988735C2211yescharacteristic, complemented
142#17988734C2211yescharacteristic
143#17988734C2211yescharacteristic, complemented
144#17988733C2211yescharacteristic, complemented
145#17988733C2211yescharacteristic, complemented
146#17988733C2211yescharacteristic, complemented
147#17988730C2211yescharacteristic
148#17988730C2211yescharacteristic, complemented
149#17988730C2211yescharacteristic, complemented
150#17988730C2211yescharacteristic, complemented
151#17988729C2211yescharacteristic, complemented
152#17988723C2211yescharacteristic, complemented
153#17988723C2211yescharacteristic, complemented
154#17988722C2211yescharacteristic, complemented
155#17988721C2211yescharacteristic, complemented
156#17988720C2211yescharacteristic, complemented
157#17988720C2211yescharacteristic, complemented
158#17988719C2211yescharacteristic, complemented
159#17988681C2211yescharacteristic, complemented
160#17988679C2211yescharacteristic, complemented
161#17988678C2211yescharacteristic, complemented
162#17988674C2211yescharacteristic, complemented
163#17988674C2211yescharacteristic, complemented
164#17988672C2211yescharacteristic, complemented
165#17988669C2211yescharacteristic, complemented
166#17988667C2211yescharacteristic, complemented
167#17988663C2211yescharacteristic, complemented
168#17988663C2211yescharacteristic, complemented
169#17988662C2211yescharacteristic, complemented
170#17988662C2211yescharacteristic, complemented
171C8×C22⋊D73C2211yescharacteristic, complemented
172C8×C22⋊D73C2211yescharacteristic, complemented
173#17988650C2211yescharacteristic, complemented
174#17988650C2211yescharacteristic, complemented
175#17988637C2211yescharacteristic, complemented
176#17988637C2211yescharacteristic, complemented
177#17988589C2211yescharacteristic, complemented
178#17988586C2211yescharacteristic, complemented
179#17988585C2211yescharacteristic, complemented
180#17988585C2211yescharacteristic, complemented
181C2×#14556513C2211yescharacteristic, complemented
182C2×#14556511C2211yescharacteristic, complemented
183#102×D73C2211yescharacteristic, complemented
184#102×D73C2211yescharacteristic, complemented
185#17988554C2211yescharacteristic, complemented
186#17988552C2211yescharacteristic, complemented
187#17988552C2211yescharacteristic, complemented
188#537×C73C2211yescharacteristic, complemented
189#535×C73C2211yescharacteristic
190#485×C73C2211yescharacteristic, complemented
191#482×C73C2211yescharacteristic, complemented
192#481×C73C2211yescharacteristic, complemented
193#480×C73C2211yescharacteristic, complemented
194#469×C73C2211yescharacteristic, complemented
195#468×C73C2211yescharacteristic, complemented
196#466×C73C2211yescharacteristic, complemented
197#465×C73C2211yescharacteristic, complemented
198#450×C73C2211yescharacteristic, complemented
199#449×C73C2211yescharacteristic, complemented
200#449×C73C2211yescharacteristic, complemented
201#447×C73C2211yescharacteristic, complemented
202#408×C73C2211yescharacteristic, complemented
203#14556637—42no—
204#14556637—42no—
205#14556636—42no—
206#14556636—42no—
207C2×#11924029—21no—
208C2×#11924029C2311yescharacteristic
209C2×#11924028—21no—
210C2×#11924028C2311yescharacteristic
211C2×#11924028C2311yescharacteristic
212C2×#11924028C2311yescharacteristic
213C2×#11924028C2311yescharacteristic
214C2×#11924028C2311yescharacteristic
215C2×#11924027—21no—
216C2×#11924027—21no—
217C2×#11924027—21no—
218C2×#11924027C2311yescharacteristic
219C2×#11924027C2311yescharacteristic
220C2×#11924027C2311yescharacteristic
221C22×D292C2311yescharacteristic
222C22×D292C2311yescharacteristic
223C22×D292C2311yescharacteristic
224C22×C22⋊D73—21no—
225C22×C22⋊D73—21no—
226C22×C22⋊D73—21no—
227C22×C22⋊D73—21no—
228C2×D4×D73—21no—
229C2×D4×D73—21no—
230C2×D4×D73—21no—
231C2×D4×D73—21no—
232C2×D4×D73—21no—
233C2×D4×D73—21no—
234C2×D4×D73—21no—
235C2×D4×D73—21no—
236C2×D4×D73C2311yescharacteristic
237C2×D4×D73C2311yescharacteristic
238#14556619—42no—
239#14556618—42no—
240#14556616—42no—
241#14556615—42no—
242#14556613—42no—
243#14556612—42no—
244#14556611—42no—
245#14556610—42no—
246C2×Dic292C2311yescharacteristic
247C2×#11924018C2311yescharacteristic
248C2×#11924017C2311yescharacteristic
249C2×#11924017C2311yescharacteristic
250C2×#11924017C2311yescharacteristic
251C2×#11924017C2311yescharacteristic
252C2×#11924016C2311yescharacteristic
253C2×#11924016C2311yescharacteristic
254C2×#11924016C2311yescharacteristic
255C2×#11924015C2311yescharacteristic
256C2×#11924015C2311yescharacteristic
257C2×#11924015C2311yescharacteristic
258C2×D584C2311yescharacteristic
259C2×D584C2311yescharacteristic
260C2×D584C2311yescharacteristic
261C2×#11924013C2311yescharacteristic
262C2×#11924013C2311yescharacteristic
263C2×#11924013C2311yescharacteristic
264C2×#11924013C2311yescharacteristic
265C2×#11924013C2311yescharacteristic
266C2×#11924012C2311yescharacteristic
267C2×#11924011C2311yescharacteristic
268C2×#11924011C2311yescharacteristic
269C22×#10596831C2311yescharacteristic
270C2×C8×D73C2311yescharacteristic
271C2×C8×D73C2311yescharacteristic
272#14556590C2311yescharacteristic
273#14556590C2311yescharacteristic
274#14556589D411yescharacteristic
275#14556589C2311yescharacteristic
276#14556588—21no—
277#14556587—21no—
278#14556587—21no—
279#14556587—21no—
280#14556587—21no—
281#14556587—21no—
282#14556587—21no—
283#14556587—21no—
284#14556587—21no—
285#14556587D411yescharacteristic
286#14556587C2311yescharacteristic
287#14556587C2311yescharacteristic
288#14556587C2311yescharacteristic
289#14556587C2311yescharacteristic
290#14556587C2311yescharacteristic
291#14556581—21no—
292#14556581—21no—
293#14556581—21no—
294#14556580D411yescharacteristic
295#14556579—21no—
296#14556578D411yescharacteristic
297#14556577—21no—
298#14556576—21no—
299#14556576—21no—
300#14556574—21no—
301#14556574—21no—
302#14556573—21no—
303#14556573—21no—
304#14556572—21no—
305#14556572—21no—
306#14556571—21no—
307#14556571C2311yescharacteristic
308#14556570—21no—
309#14556570C2311yescharacteristic
310#14556570C2311yescharacteristic
311#14556569—21no—
312#14556569—21no—
313#14556569—21no—
314#14556568—21no—
315#14556568—21no—
316#14556568—21no—
317#14556568—21no—
318#14556567—21no—
319#14556567C2311yescharacteristic
320#14556566—21no—
321#14556566C2311yescharacteristic
322#14556566C2311yescharacteristic
323#14556566C2311yescharacteristic
324#14556566C2311yescharacteristic
325#14556566C2311yescharacteristic
326#14556565—21no—
327#14556565C2311yescharacteristic
328#14556565C2311yescharacteristic
329#14556564—21no—
330#14556564—21no—
331#14556564—21no—
332#14556564—21no—
333#14556564—21no—
334#14556564—21no—
335#14556564—21no—
336#14556564—21no—
337#14556564—21no—
338#14556564—21no—
339#14556564—21no—
340#14556564—21no—
341#14556564—21no—
342#14556563—21no—
343#14556563—21no—
344#14556563—21no—
345#14556563—21no—
346#14556563—21no—
347#14556563—21no—
348#14556563—21no—
349#14556563—21no—
350#14556563—21no—
351#14556563—21no—
352#14556563D411yescharacteristic
353#14556563D411yescharacteristic
354#14556563D411yescharacteristic
355#14556563D411yescharacteristic
356#14556562—21no—
357#14556562—21no—
358#14556562—21no—
359#14556562C2311yescharacteristic
360#14556561—21no—
361#14556561—21no—
362#14556561—21no—
363#14556561—21no—
364#14556561—21no—
365#14556561—21no—
366#14556559—21no—
367#14556559—21no—
368#14556559—21no—
369#14556559—21no—
370Q8×Dic73C2311yescharacteristic
371#14556556—21no—
372#14556556C2311yescharacteristic
373#14556556C2311yescharacteristic
374#14556556C2311yescharacteristic
375D4×Dic73C2311yescharacteristic
376#14556553C2311yescharacteristic
377#14556553C2311yescharacteristic
378#14556553C2311yescharacteristic
379C4×C22⋊D73—21no—
380C4×C22⋊D73—21no—
381C4×C22⋊D73C2311yescharacteristic
382C4×C22⋊D73C2311yescharacteristic
383C4×C22⋊D73C2311yescharacteristic
384C4×C22⋊D73C2311yescharacteristic
385#14556551—21no—
386#14556551—21no—
387#14556551—21no—
388#14556551—21no—
389#14556551—21no—
390#14556551—21no—
391#14556551—21no—
392#14556551—21no—
393#14556551—21no—
394#14556548—21no—
395#14556547—21no—
396C2×C4⋊Dic73C2311yescharacteristic
397C2×#11924007—21no—
398C4⋊C4×D73—21no—
399C4⋊C4×D73C2311yescharacteristic
400C4⋊C4×D73C2311yescharacteristic
401C2×C4×Dic73C2311yescharacteristic
402C42×D73—21no—
403#14556524C2311yescharacteristic
404#14556524C2311yescharacteristic
405#14556522C2311yescharacteristic
406#14556522C2311yescharacteristic
407#14556520C2311yescharacteristic
408#14556520C2311yescharacteristic
409#14556520C2311yescharacteristic
410#14556520C2311yescharacteristic
411#14556516C2311yescharacteristic
412#14556516C2311yescharacteristic
413#14556514C2311yescharacteristic
414#14556514C2311yescharacteristic
415#14556514C2311yescharacteristic
416#14556514C2311yescharacteristic
417#14556513C2311yescharacteristic
418#14556513C2311yescharacteristic
419#14556513C2311yescharacteristic
420#14556513C2311yescharacteristic
421#14556513C2311yescharacteristic
422#14556513C2311yescharacteristic
423#14556512C2311yescharacteristic
424#14556512C2311yescharacteristic
425#14556512C2311yescharacteristic
426#14556512C2311yescharacteristic
427#14556511C2311yescharacteristic
428#14556511C2311yescharacteristic
429#14556511C2311yescharacteristic
430#14556511C2311yescharacteristic
431#14556511C2311yescharacteristic
432#14556511C2311yescharacteristic
433#14556511C2311yescharacteristic
434#14556511C2311yescharacteristic
435C22⋊#10596831C2311yescharacteristic
436C22⋊#10596831C2311yescharacteristic
437C22⋊#10596831C2311yescharacteristic
438C22⋊#10596831C2311yescharacteristic
439#14556503C2311yescharacteristic
440#14556503C2311yescharacteristic
441#14556503C2311yescharacteristic
442#14556503C2311yescharacteristic
443C8×Dic73C2311yescharacteristic
444C8×Dic73C2311yescharacteristic
445C8×Dic73C2311yescharacteristic
446C8×Dic73C2311yescharacteristic
447C2×#41×C73C2311yescharacteristic
448C2×#41×C73C2311yescharacteristic
449C22×D4×C73C2311yescharacteristic
450C2×SD16×C73C2311yescharacteristic
451C2×SD16×C73C2311yescharacteristic
452C2×D8×C73C2311yescharacteristic
453C2×D8×C73C2311yescharacteristic
454C2×M16×C73C2311yescharacteristic
455C22×C8×C73C2311yescharacteristic
456#127×C73—21no—
457#124×C73—21no—
458C22⋊Q8×C73—21no—
459C22⋊Q8×C73C2311yescharacteristic
460C22⋊Q8×C73C2311yescharacteristic
461#121×C73—21no—
462#121×C73—21no—
463#121×C73—21no—
464#121×C73C2311yescharacteristic
465#121×C73C2311yescharacteristic
466#121×C73C2311yescharacteristic
467#121×C73C2311yescharacteristic
468#121×C73C2311yescharacteristic
469#121×C73C2311yescharacteristic
470#120×C73—21no—
471#120×C73—21no—
472#117×C73C2311yescharacteristic
473C2×C4⋊C4×C73C2311yescharacteristic
474#107×C73C2311yescharacteristic
475#107×C73C2311yescharacteristic
476#106×C73C2311yescharacteristic
477#106×C73C2311yescharacteristic
478#103×C73C2311yescharacteristic
479#103×C73C2311yescharacteristic
480#102×C73C2311yescharacteristic
481#102×C73C2311yescharacteristic
482#102×C73C2311yescharacteristic
483#102×C73C2311yescharacteristic
484#102×C73C2311yescharacteristic
485#102×C73C2311yescharacteristic
486C22⋊C8×C73C2311yescharacteristic
487C22⋊C8×C73C2311yescharacteristic
488C22⋊C8×C73C2311yescharacteristic
489C22⋊C8×C73C2311yescharacteristic
490C23×D73—21no—
491C23×D73—21no—
492C23×D73—21no—
493C23×D73—21no—
494C23×D73—21no—
495#11924029—44no—
496#11924029—41no—
497#11924029—41no—
498#11924028—22no—
499#11924028—22no—
500#11924028—22no—
501#11924028—22no—
502#11924028—41no—
503#11924028—41no—
504#11924028—41no—
505#11924028—41no—
506#11924028—41no—
507#11924028—41no—
508#11924028—82no—
509#11924027—22no—
510#11924027—22no—
511#11924027—41no—
512#11924027—41no—
513#11924027—41no—
514#11924027—41no—
515#11924027—44no—
516#11924027—82no—
517#11924027—82no—
518C2×Dic146—21no—
519C2×Dic146—21no—
520C2×Dic146C2×D411yescharacteristic
521C2×Dic146C2411yescharacteristic
522C2×Dic146C2411yescharacteristic
523C2×D292—22no—
524C2×D292—22no—
525C2×D292—21no—
526C2×D292—21no—
527C2×D292—21no—
528C2×D292—21no—
529C2×D292—21no—
530C2×D292—21no—
531C2×D292—21no—
532C2×D292—21no—
533C2×D292—21no—
534C2×D292—41no—
535C2×D292—41no—
536C2×D292—41no—
537C2×D292—41no—
538C2×D292C2×D411yescharacteristic
539C2×D292C2411yescharacteristic
540C2×D292C2411yescharacteristic
541C2×D292C2411yescharacteristic
542C2×D292C2411yescharacteristic
543C2×C22⋊D73—21no—
544C2×C22⋊D73—21no—
545C2×C22⋊D73—21no—
546C2×C22⋊D73—21no—
547C2×C22⋊D73—21no—
548C2×C22⋊D73—21no—
549C2×C22⋊D73—21no—
550C2×C22⋊D73—21no—
551C2×C22⋊D73—21no—
552C2×C22⋊D73—21no—
553C2×C22⋊D73—21no—
554C2×C22⋊D73—21no—
555C2×C22⋊D73—21no—
556C2×C22⋊D73—21no—
557C2×C22⋊D73—21no—
558C2×C22⋊D73—21no—
559C2×C22⋊D73—21no—
560C2×C22⋊D73—21no—
561C2×C22⋊D73—21no—
562C2×C22⋊D73—21no—
563C2×C22⋊D73—21no—
564C2×C22⋊D73—21no—
565C2×C22⋊D73—44no—
566C2×C22⋊D73—44no—
567C2×C22⋊D73—82no—
568C2×C22⋊D73—82no—
569C2×C22⋊D73C2×D411yescharacteristic
570C2×C22⋊D73C2×D411yescharacteristic
571C2×C22⋊D73C2×D411yescharacteristic
572C2×C22⋊D73C2×D411yescharacteristic
573C2×C22⋊D73C2×D411yescharacteristic
574C2×C22⋊D73C2×D411yescharacteristic
575D4×D73—22no—
576D4×D73—22no—
577D4×D73—41no—
578D4×D73—41no—
579D4×D73—44no—
580D4×D73—44no—
581D4×D73—44no—
582D4×D73—44no—
583D4×D73—82no—
584D4×D73—82no—
585D4×D73—82no—
586D4×D73—82no—
587C22×Dic73—21no—
588C22×Dic73—21no—
589C22×Dic73—21no—
590C22×Dic73—21no—
591C22×Dic73—21no—
592C22×Dic73C2×D411yescharacteristic
593C22×Dic73C2×D411yescharacteristic
594C2×C4×D73—21no—
595C2×C4×D73—21no—
596C2×C4×D73—21no—
597C2×C4×D73—21no—
598C2×C4×D73—21no—
599C2×C4×D73—21no—
600C2×C4×D73—21no—
601C2×C4×D73—21no—
602C2×C4×D73—21no—
603C2×C4×D73—21no—
604C2×C4×D73C2411yescharacteristic
605C2×C4×D73C2411yescharacteristic
606Dic292—22no—
607#11924018—22no—
608#11924017—22no—
609#11924017—22no—
610#11924017—41no—
611#11924017—41no—
612#11924016—22no—
613#11924016—41no—
614#11924016—41no—
615#11924015—22no—
616#11924015—41no—
617#11924015—41no—
618D584—22no—
619D584—41no—
620D584—41no—
621#11924013—22no—
622#11924013—41no—
623#11924013—41no—
624#11924013—41no—
625#11924013—41no—
626#11924012—41no—
627#11924011—41no—
628#11924011—41no—
629C2×#10596831—41no—
630C2×#10596831C2411yescharacteristic
631C2×#10596831C2411yescharacteristic
632C2×#10596831C2411yescharacteristic
633C2×#10596831C2411yescharacteristic
634C8×D73—41no—
635C8×D73—41no—
636C4⋊Dic73—21no—
637C4⋊Dic73—21no—
638C4⋊Dic73—21no—
639C4⋊Dic73C2411yescharacteristic
640C4⋊Dic73C2411yescharacteristic
641#11924007—21no—
642#11924007—21no—
643#11924007—21no—
644#11924007—21no—
645#11924007—21no—
646#11924007—21no—
647#11924007—21no—
648#11924007—21no—
649#11924007—21no—
650#11924007—21no—
651#11924007—21no—
652#11924007—21no—
653#11924007C2×D411yescharacteristic
654#11924007C2×D411yescharacteristic
655#11924007C2×D411yescharacteristic
656#11924007C2×D411yescharacteristic
657C22⋊Dic73—21no—
658C22⋊Dic73—21no—
659C22⋊Dic73—21no—
660C22⋊Dic73—21no—
661C22⋊Dic73C2×D411yescharacteristic
662C22⋊Dic73C2×D411yescharacteristic
663C22⋊Dic73C2×D411yescharacteristic
664C22⋊Dic73C2×D411yescharacteristic
665#11924005—21no—
666#11924005—21no—
667#11924005—21no—
668#11924005—21no—
669#11924005—21no—
670#11924005—21no—
671#11924005—21no—
672#11924005—21no—
673#11924005—21no—
674#11924005—21no—
675#11924005—21no—
676#11924005—21no—
677#11924005C2×D411yescharacteristic
678#11924005C2×D411yescharacteristic
679#11924005C2×D411yescharacteristic
680#11924005C2×D411yescharacteristic
681C4×Dic73—21no—
682C4×Dic73—21no—
683C4×Dic73—21no—
684C4×Dic73—21no—
685C4×Dic73C2×D411yescharacteristic
686C4×Dic73C2×D411yescharacteristic
687C4×Dic73C2411yescharacteristic
688C4×Dic73C2411yescharacteristic
689C24×C73—21no—
690#41×C73—41no—
691#41×C73—41no—
692#41×C73—41no—
693#41×C73—41no—
694C2×Q8×C73C2×D411yescharacteristic
695C2×Q8×C73C2411yescharacteristic
696C2×D4×C73—21no—
697C2×D4×C73—21no—
698C2×D4×C73—21no—
699C2×D4×C73—21no—
700C2×D4×C73—21no—
701C2×D4×C73—21no—
702C2×D4×C73—21no—
703C2×D4×C73—21no—
704C2×D4×C73—41no—
705C2×D4×C73—41no—
706C2×D4×C73C2×D411yescharacteristic
707C2×D4×C73C2×D411yescharacteristic
708C2×D4×C73C2×D411yescharacteristic
709C2×D4×C73C2411yescharacteristic
710C2×D4×C73C2411yescharacteristic
711C2×D4×C73C2411yescharacteristic
712C22×C4×C73—21no—
713C22×C4×C73—21no—
714C22×C4×C73C2411yescharacteristic
715C22×C4×C73C2411yescharacteristic
716C22×C4×C73C2411yescharacteristic
717SD16×C73—41no—
718SD16×C73—41no—
719D8×C73—41no—
720D8×C73—41no—
721M16×C73—41no—
722C2×C8×C73—41no—
723C2×C8×C73C2411yescharacteristic
724C2×C8×C73C2411yescharacteristic
725C2×C8×C73C2411yescharacteristic
726C2×C8×C73C2411yescharacteristic
727C4⋊C4×C73—21no—
728C4⋊C4×C73—21no—
729C4⋊C4×C73—21no—
730C4⋊C4×C73C2411yescharacteristic
731C4⋊C4×C73C2411yescharacteristic
732C4⋊C4×C73C2411yescharacteristic
733C4⋊C4×C73C2411yescharacteristic
734C22⋊C4×C73—21no—
735C22⋊C4×C73—21no—
736C22⋊C4×C73—21no—
737C22⋊C4×C73—21no—
738C22⋊C4×C73—21no—
739C22⋊C4×C73—21no—
740C22⋊C4×C73—21no—
741C22⋊C4×C73—21no—
742C22⋊C4×C73—21no—
743C42×C73—21no—
744C23×C73—21no—
745C23×C73—21no—
746C23×C73—21no—
747C23×C73—42no—
748C23×C73—81no—
749C23×C73—81no—
750C23×C73C22×D411yescharacteristic
751C23×C73C22×D411yescharacteristic
752C23×C73C22×D411yescharacteristic
753C22×D73—21no—
754C22×D73—21no—
755C22×D73—21no—
756C22×D73—21no—
757C22×D73—42no—
758C22×D73—42no—
759C22×D73—42no—
760C22×D73—42no—
761C22×D73—42no—
762C22×D73—81no—
763C22×D73—81no—
764C22×D73—81no—
765C22×D73—81no—
766C22×D73—81no—
767C22×D73—81no—
768C22×D73—81no—
769C22×D73—81no—
770C22×D73—81no—
771C22×D73—81no—
772C22×D73C22×D411yescharacteristic
773C22×D73C22×D411yescharacteristic
774Q8×C73—21no—
775Q8×C73—21no—
776Q8×C73—41no—
777D4×C73—21no—
778D4×C73—21no—
779D4×C73—21no—
780D4×C73—21no—
781D4×C73—21no—
782D4×C73—21no—
783D4×C73—41no—
784D4×C73—41no—
785D4×C73—41no—
786D4×C73—42no—
787D4×C73—81no—
788D4×C73—81no—
789D4×C73—81no—
790D4×C73—81no—
791D4×C73—81no—
792D4×C73—81no—
793D4×C73—81no—
794C2×C4×C73—21no—
795C2×C4×C73—21no—
796C2×C4×C73—21no—
797C2×C4×C73—21no—
798C2×C4×C73—21no—
799C2×C4×C73—21no—
800C2×C4×C73—21no—
801C2×C4×C73—21no—
802C2×C4×C73—21no—
803C2×C4×C73—21no—
804C2×C4×C73—21no—
805C2×C4×C73—81no—
806C2×C4×C73—81no—
807C2×C4×C73C22×D411yescharacteristic
808C2×C4×C73C22×D411yescharacteristic
809C2×C4×C73C22×D411yescharacteristic
810C2×C4×C73C2511yescharacteristic
811C22⋊D73—24no—
812C22⋊D73—22no—
813C22⋊D73—22no—
814C22⋊D73—22no—
815C22⋊D73—22no—
816C22⋊D73—41no—
817C22⋊D73—41no—
818C22⋊D73—42no—
819C22⋊D73—42no—
820C22⋊D73—42no—
821C22⋊D73—42no—
822C22⋊D73—42no—
823C22⋊D73—42no—
824C22⋊D73—42no—
825C22⋊D73—42no—
826C22⋊D73—42no—
827C22⋊D73—42no—
828C22⋊D73—42no—
829C22⋊D73—81no—
830C22⋊D73—81no—
831C22⋊D73—81no—
832C22⋊D73—81no—
833C22⋊D73—81no—
834C22⋊D73—81no—
835C22⋊D73—81no—
836C22⋊D73—81no—
837C22⋊D73—81no—
838C22⋊D73—81no—
839C2×Dic73—21no—
840C2×Dic73—22no—
841C2×Dic73—22no—
842C2×Dic73—21no—
843C2×Dic73—21no—
844C2×Dic73—21no—
845C2×Dic73—42no—
846C2×Dic73—42no—
847C2×Dic73—42no—
848C2×Dic73—81no—
849C2×Dic73—81no—
850C2×Dic73C22×D411yescharacteristic
851C2×Dic73C22×D411yescharacteristic
852C2×Dic73C22×D411yescharacteristic
853C2×Dic73C22×D411yescharacteristic
854C2×Dic73C22×D411yescharacteristic
855C2×Dic73C22×D411yescharacteristic
856D292—21no—
857D292—21no—
858D292—21no—
859D292—21no—
860D292—21no—
861D292—21no—
862D292—21no—
863D292—41no—
864D292—42no—
865D292—42no—
866D292—42no—
867D292—81no—
868D292—81no—
869D292—81no—
870D292—81no—
871D292—81no—
872D292—81no—
873D292H(5,𝔽2)12yes—
874C4×D73—24no—
875C4×D73—21no—
876C4×D73—21no—
877C4×D73—21no—
878C4×D73—21no—
879C4×D73—42no—
880C4×D73—42no—
881C4×D73—42no—
882C4×D73—42no—
883C4×D73—42no—
884C4×D73—81no—
885C4×D73—81no—
886C4×D73—81no—
887C4×D73—81no—
888Dic146—21no—
889Dic146—21no—
890Dic146—21no—
891Dic146—41no—
892Dic146—42no—
893Dic146—81no—
894Dic146H(5,𝔽2)12yes—
895C8×C73—21no—
896C8×C73—21no—
897C8×C73—21no—
898C8×C73—21no—
899#10596831—21no—
900#10596831—21no—
901#10596831—21no—
902#10596831—21no—
903C22×C73—21no—
904C22×C73—21no—
905C22×C73—21no—
906C22×C73—21no—
907C22×C73—21no—
908C22×C73—21no—
909C22×C73—21no—
910C22×C73—21no—
911C22×C73—21no—
912C22×C73—41no—
913C22×C73—41no—
914C22×C73—41no—
915C22×C73—41no—
916C22×C73—41no—
917C22×C73—41no—
918C22×C73—41no—
919C22×C73—41no—
920C22×C73—41no—
921C22×C73—162no—
922C22×C73C23×D411yescharacteristic
923C2×D73—22no—
924C2×D73—21no—
925C2×D73—21no—
926C2×D73—21no—
927C2×D73—21no—
928C2×D73—21no—
929C2×D73—21no—
930C2×D73—41no—
931C2×D73—41no—
932C2×D73—41no—
933C2×D73—41no—
934C2×D73—41no—
935C2×D73—41no—
936C2×D73—41no—
937C2×D73—41no—
938C2×D73—41no—
939C2×D73—41no—
940C2×D73—41no—
941C2×D73—162no—
942C2×D73—162no—
943C2×D73—162no—
944C2×D73—162no—
945C2×D73—162no—
946C4×C73—21no—
947C4×C73—21no—
948C4×C73—21no—
949C4×C73—41no—
950C4×C73—41no—
951C4×C73—41no—
952C4×C73—41no—
953C4×C73—41no—
954C4×C73C2×H(5,𝔽2)11yescharacteristic
955C4×C73C2×H(5,𝔽2)11yescharacteristic
956Dic73—22no—
957Dic73—21no—
958Dic73—21no—
959Dic73—21no—
960Dic73—21no—
961Dic73—41no—
962Dic73—41no—
963Dic73—41no—
964Dic73#57612yes—
965Dic73#57712yes—
966#61668—731nomaximal, Sylow
967C2×C73—41no—
968C2×C73—41no—
969C2×C73—41no—
970C2×C73—81no—
971C2×C73—81no—
972C2×C73—81no—
973C2×C73#348411yescharacteristic
974C2×C73C2×#57611yescharacteristic
975C2×C73C2×#57711yescharacteristic
976D73—41no—
977D73—41no—
978D73—42no—
979D73—81no—
980D73—81no—
981D73—81no—
982#3548—731no—
983#3498—731no—
984#3333—731no—
985#3333—731no—
986#3332—731no—
987#3332—731no—
988#3295—731no—
989#3295—731no—
990#3294—731no—
991#3294—731no—
992#3287—731no—
993#3287—731no—
994#3284—731no—
995#3284—731no—
996#3274—731no—
997#3274—731no—
998#3272—731no—
999#3272—731no—
1000#3208—731no—
1001#3205—731no—
1002#3198—731no—
1003#3198—731no—
1004#3198—731no—
1005#3198D7311yescharacteristic, complemented
1006#3107—731no—
1007#3106—731no—
1008#3012—731no—
1009#3012—731no—
1010#3012—731no—
1011#3012—731no—
1012#2979—731no—
1013C73#6166811yescharacteristic, complemented, Sylow
1014C2×H(5,𝔽2)—731no—
1015C2×H(5,𝔽2)—731no—
1016C2×AGL(1,ℤ/8)—731no—
1017C2×AGL(1,ℤ/8)—731no—
1018C2×AGL(1,ℤ/8)—731no—
1019C2×AGL(1,ℤ/8)—731no—
1020C2×#135—731no—
1021C2×#135—731no—
1022C2×#135—731no—
1023C2×#135—731no—
1024#562—1461no—
1025#562—1461no—
1026#554—731no—
1027#554—731no—
1028#554—1461no—
1029#550—731no—
1030#550—731no—
1031#550—731no—
1032#550—731no—
1033#550—731no—
1034#550—731no—
1035#550—1461no—
1036#547—731no—
1037#547—731no—
1038#547—731no—
1039#547—731no—
1040D42—731no—
1041D42—731no—
1042D42—731no—
1043D42—731no—
1044D42—1461no—
1045D42—1461no—
1046D42—1461no—
1047D42—1461no—
1048#540—1461no—
1049#540—1461no—
1050#537—731no—
1051#537—731no—
1052#537—731no—
1053#537—1461no—
1054#537—1461no—
1055#537C2×D7311yescharacteristic, complemented
1056#535—731no—
1057#535—1461no—
1058#535—1461no—
1059#535C2×D7311yescharacteristic
1060#533—731no—
1061#532—731no—
1062#532—731no—
1063#532—1461no—
1064C2×#127—731no—
1065C2×#127—1461no—
1066C4×#41—731no—
1067#493—731no—
1068#493—731no—
1069#492—731no—
1070#492—731no—
1071#486—731no—
1072#486—731no—
1073#486—731no—
1074#486—731no—
1075#485—731no—
1076#485C2×D7311yescharacteristic, complemented
1077#482—731no—
1078#482C2×D7311yescharacteristic, complemented
1079#481—731no—
1080#481—731no—
1081#481—731no—
1082#481C2×D7311yescharacteristic, complemented
1083#480—731no—
1084#480—731no—
1085#480—731no—
1086#480C2×D7311yescharacteristic, complemented
1087#477—731no—
1088#476—731no—
1089#475—731no—
1090#474—731no—
1091#469—731no—
1092#469—731no—
1093#469—731no—
1094#469C2×D7311yescharacteristic, complemented
1095#468—731no—
1096#468—731no—
1097#468—731no—
1098#468C2×D7311yescharacteristic, complemented
1099#466—731no—
1100#466—731no—
1101#466—731no—
1102#466C2×D7311yescharacteristic, complemented
1103#465—731no—
1104#465—731no—
1105#465—731no—
1106#465C2×D7311yescharacteristic, complemented
1107#462—731no—
1108#461—731no—
1109#460—731no—
1110#460—731no—
1111#460—731no—
1112#460—731no—
1113#460—731no—
1114#459—731no—
1115#459—731no—
1116#459—731no—
1117#459—731no—
1118#459—731no—
1119#452—731no—
1120#452—731no—
1121#452—731no—
1122#452—731no—
1123#452—731no—
1124#452—731no—
1125#450—731no—
1126#450—731no—
1127#450—731no—
1128#450—731no—
1129#450—731no—
1130#450—731no—
1131#450—731no—
1132#450C2×D7311yescharacteristic, complemented
1133#449—731no—
1134#449—731no—
1135#449—731no—
1136#449—731no—
1137#449—731no—
1138#449—731no—
1139#449—731no—
1140#449—731no—
1141#449—731no—
1142#449—731no—
1143#449—731no—
1144#449—731no—
1145#449C2×D7311yescharacteristic, complemented
1146#449C2×D7311yescharacteristic, complemented
1147#447—731no—
1148#447—731no—
1149#447—731no—
1150#447—731no—
1151#447—731no—
1152#447—731no—
1153#447—731no—
1154#447C2×D7311yescharacteristic, complemented
1155C4×Q16—731no—
1156C4×Q16—731no—
1157C4×SD16—731no—
1158C4×SD16—731no—
1159C4×SD16—731no—
1160C4×SD16—731no—
1161C4×D8—731no—
1162C4×D8—731no—
1163#436—731no—
1164#436—731no—
1165#436—731no—
1166#436—731no—
1167C8×D4—731no—
1168C8×D4—731no—
1169C8×D4—731no—
1170C8×D4—731no—
1171#431—731no—
1172#431—731no—
1173#417—731no—
1174#417—731no—
1175#417—731no—
1176#417—731no—
1177C2×#102—731no—
1178C2×#102—731no—
1179C2×#102—731no—
1180C2×#102—731no—
1181#408—731no—
1182#408—731no—
1183#408—731no—
1184#408C2×D7311yescharacteristic, complemented
1185H(5,𝔽2)—2922no—
1186H(5,𝔽2)—2922no—
1187H(5,𝔽2)—2922no—
1188H(5,𝔽2)—2922no—
1189C2×#41—731no—
1190C2×#41—731no—
1191C2×#41—731no—
1192C2×#41—731no—
1193C2×#41—731no—
1194C2×#41—731no—
1195C2×#41—731no—
1196C2×#41—731no—
1197C2×#41—731no—
1198C2×#41—1461no—
1199C2×#41—1461no—
1200C2×#41—1461no—
1201C2×#41—1461no—
1202C2×#41—1461no—
1203C2×#41C22×D7311yescharacteristic
1204C2×#41C22×D7311yescharacteristic
1205C22×D4—731no—
1206C22×D4—731no—
1207C22×D4—731no—
1208C22×D4—731no—
1209C22×D4—731no—
1210C22×D4—1461no—
1211C22×D4—1461no—
1212C22×D4—1461no—
1213C22×D4—1461no—
1214C22×D4—1461no—
1215C22×D4—1461no—
1216C22×D4—1461no—
1217C22×D4—1461no—
1218C22×D4—1461no—
1219C22×D4—1461no—
1220C22×D4—1461no—
1221C22×D4—1461no—
1222C22×D4C22×D7311yescharacteristic
1223AGL(1,ℤ/8)—2922no—
1224AGL(1,ℤ/8)—2922no—
1225AGL(1,ℤ/8)—2922no—
1226AGL(1,ℤ/8)—2922no—
1227#135—2922no—
1228#135—2922no—
1229#135—2922no—
1230#135—2922no—
1231C2×Q16—731no—
1232C2×Q16—731no—
1233C2×SD16—731no—
1234C2×SD16—731no—
1235C2×SD16—731no—
1236C2×SD16—731no—
1237C2×SD16—731no—
1238C2×SD16—731no—
1239C2×SD16—731no—
1240C2×SD16—731no—
1241C2×SD16—731no—
1242C2×SD16—731no—
1243C2×SD16C22×D7311yescharacteristic
1244C2×SD16C22×D7311yescharacteristic
1245C2×D8—731no—
1246C2×D8—731no—
1247C2×D8—731no—
1248C2×D8—731no—
1249C2×D8—731no—
1250C2×D8—731no—
1251C2×D8—731no—
1252C2×D8—731no—
1253C2×D8C22×D7311yescharacteristic
1254C2×D8C22×D7311yescharacteristic
1255C2×M16—731no—
1256C2×M16—731no—
1257C2×M16—731no—
1258C2×M16C22×D7311yescharacteristic
1259C22×C8—731no—
1260C22×C8—731no—
1261C22×C8—731no—
1262C22×C8C22×D7311yescharacteristic
1263C4⋊Q8—731no—
1264C4⋊Q8—731no—
1265C4⋊Q8—731no—
1266C4⋊Q8—731no—
1267#127—21no—
1268#127—731no—
1269#127—731no—
1270#127—731no—
1271#127—731no—
1272#127—731no—
1273#127—731no—
1274#127—1461no—
1275#127—1461no—
1276#127—1461no—
1277#127—1461no—
1278#127—1461no—
1279#127—1461no—
1280#127—1461no—
1281#127—1461no—
1282#127—1461no—
1283#125—1461no—
1284#125—1461no—
1285#125—1461no—
1286#124—21no—
1287#124—731no—
1288#124—731no—
1289#124—1461no—
1290#124—1461no—
1291#123—1461no—
1292#123—1461no—
1293#123—1461no—
1294#123—1461no—
1295#123—1461no—
1296#123—1461no—
1297#123—1461no—
1298#123—1461no—
1299C22⋊Q8—21no—
1300C22⋊Q8—731no—
1301C22⋊Q8—731no—
1302C22⋊Q8—731no—
1303C22⋊Q8—731no—
1304C22⋊Q8—1461no—
1305C22⋊Q8—1461no—
1306C22⋊Q8—1461no—
1307C22⋊Q8—1461no—
1308C22⋊Q8—1461no—
1309C22⋊Q8—1461no—
1310C22⋊Q8—1461no—
1311C22⋊Q8—1461no—
1312C22⋊Q8—1461no—
1313C22⋊Q8—1461no—
1314C22⋊Q8C22×D7311yescharacteristic
1315C22⋊Q8C22×D7311yescharacteristic
1316#121—21no—
1317#121—21no—
1318#121—21no—
1319#121—731no—
1320#121—731no—
1321#121—731no—
1322#121—731no—
1323#121—731no—
1324#121—731no—
1325#121—731no—
1326#121—731no—
1327#121—731no—
1328#121—731no—
1329#121—731no—
1330#121—731no—
1331#121—1461no—
1332#121—1461no—
1333#121—1461no—
1334#121—1461no—
1335#121—1461no—
1336#121—1461no—
1337#121—1461no—
1338#121—1461no—
1339#121—1461no—
1340#121—1461no—
1341#121—1461no—
1342#121—1461no—
1343#121—1461no—
1344#121—1461no—
1345#121—1461no—
1346#121—1461no—
1347#121—1461no—
1348#121—1461no—
1349#121—1461no—
1350#121—1461no—
1351#121—1461no—
1352#121—1461no—
1353#121—1461no—
1354#121—1461no—
1355#121—1461no—
1356#121—1461no—
1357#121—1461no—
1358#121—1461no—
1359#121C22×D7311yescharacteristic
1360#121C22×D7311yescharacteristic
1361#121C22×D7311yescharacteristic
1362#121C22×D7311yescharacteristic
1363#121C22×D7311yescharacteristic
1364#121C22×D7311yescharacteristic
1365#120—21no—
1366#120—21no—
1367#120—1461no—
1368#120—1461no—
1369#120—1461no—
1370#120—1461no—
1371#120—1461no—
1372#120—1461no—
1373#120—1461no—
1374#120—1461no—
1375#120—1461no—
1376#120—1461no—
1377C4×Q8—731no—
1378C4×Q8—731no—
1379C4×Q8—731no—
1380C4×Q8—731no—
1381C4×Q8—1461no—
1382C4×D4—731no—
1383C4×D4—731no—
1384C4×D4—731no—
1385C4×D4—731no—
1386C4×D4—731no—
1387C4×D4—731no—
1388C4×D4—731no—
1389C4×D4—731no—
1390C4×D4—1461no—
1391C4×D4—1461no—
1392C4×D4—1461no—
1393C4×D4—1461no—
1394C4×D4—1461no—
1395C4×D4—1461no—
1396C4×D4—1461no—
1397C4×D4—1461no—
1398C4×D4—1461no—
1399C4×D4—1461no—
1400C4×D4—1461no—
1401#117—1461no—
1402#117—1461no—
1403#117C22×D7311yescharacteristic
1404C2×C4⋊C4—731no—
1405C2×C4⋊C4—731no—
1406C2×C4⋊C4—731no—
1407C2×C4⋊C4—1461no—
1408C2×C4⋊C4—1461no—
1409C2×C4⋊C4C22×D7311yescharacteristic
1410C2×C42—731no—
1411C2×C42—1461no—
1412#107—731no—
1413#107—731no—
1414#107C22×D7311yescharacteristic
1415#107C22×D7311yescharacteristic
1416#106—731no—
1417#106—731no—
1418#106C22×D7311yescharacteristic
1419#106C22×D7311yescharacteristic
1420C4⋊C8—731no—
1421C4⋊C8—731no—
1422C4⋊C8—731no—
1423C4⋊C8—731no—
1424#103—731no—
1425#103—731no—
1426#103—731no—
1427#103—731no—
1428#103—731no—
1429#103—731no—
1430#103C22×D7311yescharacteristic
1431#103C22×D7311yescharacteristic
1432#102—731no—
1433#102—731no—
1434#102—731no—
1435#102—731no—
1436#102—731no—
1437#102—731no—
1438#102—731no—
1439#102—731no—
1440#102—731no—
1441#102—731no—
1442#102—731no—
1443#102—731no—
1444#102—731no—
1445#102—731no—
1446#102—731no—
1447#102—731no—
1448#102—731no—
1449#102—731no—
1450#102C22×D7311yescharacteristic
1451#102C22×D7311yescharacteristic
1452#102C22×D7311yescharacteristic
1453#102C22×D7311yescharacteristic
1454#102C22×D7311yescharacteristic
1455#102C22×D7311yescharacteristic
1456C22⋊C8—731no—
1457C22⋊C8—731no—
1458C22⋊C8—731no—
1459C22⋊C8—731no—
1460C22⋊C8—731no—
1461C22⋊C8—731no—
1462C22⋊C8—731no—
1463C22⋊C8—731no—
1464C22⋊C8C22×D7311yescharacteristic
1465C22⋊C8C22×D7311yescharacteristic
1466C22⋊C8C22×D7311yescharacteristic
1467C22⋊C8C22×D7311yescharacteristic
1468C4×C8—731no—
1469C4×C8—731no—
1470C4×C8—731no—
1471C4×C8—731no—
1472C24—21no—
1473C24—1461no—
1474C24—1461no—
1475C24—1461no—
1476C24—1461no—
1477C24—1461no—
1478#41—41no—
1479#41—41no—
1480#41—41no—
1481#41—41no—
1482#41—2921no—
1483#41—2921no—
1484#41—2921no—
1485#41—2921no—
1486#41—2921no—
1487#41—2921no—
1488#41—2921no—
1489#41—2921no—
1490#41—2924no—
1491#41—2924no—
1492#41—2921no—
1493#41—2921no—
1494#41—2921no—
1495#41—2921no—
1496#41—5842no—
1497#41—5842no—
1498#41—5842no—
1499#41—1462no—
1500#41—1462no—
1501#41—1462no—
1502#41—1462no—
1503#41—1462no—
1504#41—1462no—
1505C2×Q8—731no—
1506C2×Q8—731no—
1507C2×Q8—731no—
1508C2×Q8—1461no—
1509C2×Q8—1461no—
1510C2×Q8D4×D7311yescharacteristic
1511C2×Q8C23×D7311yescharacteristic
1512C2×D4—21no—
1513C2×D4—21no—
1514C2×D4—21no—
1515C2×D4—21no—
1516C2×D4—21no—
1517C2×D4—21no—
1518C2×D4—21no—
1519C2×D4—21no—
1520C2×D4—41no—
1521C2×D4—41no—
1522C2×D4—2921no—
1523C2×D4—2921no—
1524C2×D4—2921no—
1525C2×D4—2921no—
1526C2×D4—2924no—
1527C2×D4—2924no—
1528C2×D4—2924no—
1529C2×D4—2924no—
1530C2×D4—2921no—
1531C2×D4—2921no—
1532C2×D4—2924no—
1533C2×D4—2924no—
1534C2×D4—5842no—
1535C2×D4—5842no—
1536C2×D4—5842no—
1537C2×D4—5842no—
1538C2×D4—5842no—
1539C2×D4—5842no—
1540C2×D4—731no—
1541C2×D4—731no—
1542C2×D4—731no—
1543C2×D4—731no—
1544C2×D4—731no—
1545C2×D4—731no—
1546C2×D4—731no—
1547C2×D4—731no—
1548C2×D4—731no—
1549C2×D4—731no—
1550C2×D4—731no—
1551C2×D4—1462no—
1552C2×D4—1462no—
1553C2×D4—1461no—
1554C2×D4—1461no—
1555C2×D4—1461no—
1556C2×D4—1461no—
1557C2×D4—1461no—
1558C2×D4—1461no—
1559C2×D4—1461no—
1560C2×D4—1461no—
1561C2×D4—1461no—
1562C2×D4—1461no—
1563C2×D4—1461no—
1564C2×D4—1461no—
1565C2×D4—1461no—
1566C2×D4—1461no—
1567C2×D4—1461no—
1568C2×D4—1461no—
1569C2×D4—1461no—
1570C2×D4—1461no—
1571C2×D4—1462no—
1572C2×D4—1462no—
1573C2×D4—1461no—
1574C2×D4—1461no—
1575C2×D4—1461no—
1576C2×D4—1461no—
1577C2×D4—1461no—
1578C2×D4—1461no—
1579C2×D4—1461no—
1580C2×D4—1461no—
1581C2×D4—1461no—
1582C2×D4—1461no—
1583C2×D4—1461no—
1584C2×D4—1461no—
1585C2×D4—1461no—
1586C2×D4D4×D7311yescharacteristic
1587C2×D4D4×D7311yescharacteristic
1588C2×D4D4×D7311yescharacteristic
1589C2×D4C23×D7311yescharacteristic
1590C2×D4C23×D7311yescharacteristic
1591C2×D4C23×D7311yescharacteristic
1592C22×C4—21no—
1593C22×C4—21no—
1594C22×C4—731no—
1595C22×C4—731no—
1596C22×C4—731no—
1597C22×C4—731no—
1598C22×C4—1461no—
1599C22×C4—1461no—
1600C22×C4—1461no—
1601C22×C4—1461no—
1602C22×C4—1461no—
1603C22×C4—1461no—
1604C22×C4—1461no—
1605C22×C4—1461no—
1606C22×C4—1461no—
1607C22×C4—1461no—
1608C22×C4—1461no—
1609C22×C4—1461no—
1610C22×C4—1461no—
1611C22×C4—1461no—
1612C22×C4—1461no—
1613C22×C4C23×D7311yescharacteristic
1614C22×C4C23×D7311yescharacteristic
1615C22×C4C23×D7311yescharacteristic
1616Q16—1462no—
1617Q16—1462no—
1618SD16—41no—
1619SD16—41no—
1620SD16—2921no—
1621SD16—2921no—
1622SD16—2921no—
1623SD16—2921no—
1624SD16—2921no—
1625SD16—2921no—
1626SD16—1462no—
1627SD16—1462no—
1628SD16—1462no—
1629SD16—1462no—
1630D8—41no—
1631D8—41no—
1632D8—2921no—
1633D8—2921no—
1634D8—2921no—
1635D8—2921no—
1636D8—2921no—
1637D8—2921no—
1638D8—1462no—
1639D8—1462no—
1640M16—41no—
1641M16—2921no—
1642M16—2921no—
1643M16—2921no—
1644C2×C8—41no—
1645C2×C8—2921no—
1646C2×C8—2921no—
1647C2×C8—2921no—
1648C2×C8—731no—
1649C2×C8—731no—
1650C2×C8—731no—
1651C2×C8—731no—
1652C2×C8C23×D7311yescharacteristic
1653C2×C8C23×D7311yescharacteristic
1654C2×C8C23×D7311yescharacteristic
1655C2×C8C23×D7311yescharacteristic
1656C4⋊C4—21no—
1657C4⋊C4—21no—
1658C4⋊C4—21no—
1659C4⋊C4—731no—
1660C4⋊C4—731no—
1661C4⋊C4—731no—
1662C4⋊C4—731no—
1663C4⋊C4—731no—
1664C4⋊C4—731no—
1665C4⋊C4—1461no—
1666C4⋊C4—1461no—
1667C4⋊C4—1461no—
1668C4⋊C4—1461no—
1669C4⋊C4—1461no—
1670C4⋊C4—1461no—
1671C4⋊C4—1461no—
1672C4⋊C4—1461no—
1673C4⋊C4—1461no—
1674C4⋊C4—1461no—
1675C4⋊C4—1461no—
1676C4⋊C4—1461no—
1677C4⋊C4—1461no—
1678C4⋊C4—1461no—
1679C4⋊C4—1461no—
1680C4⋊C4C23×D7311yescharacteristic
1681C4⋊C4C23×D7311yescharacteristic
1682C4⋊C4C23×D7311yescharacteristic
1683C4⋊C4C23×D7311yescharacteristic
1684C22⋊C4—21no—
1685C22⋊C4—21no—
1686C22⋊C4—21no—
1687C22⋊C4—21no—
1688C22⋊C4—21no—
1689C22⋊C4—21no—
1690C22⋊C4—21no—
1691C22⋊C4—21no—
1692C22⋊C4—21no—
1693C22⋊C4—731no—
1694C22⋊C4—731no—
1695C22⋊C4—731no—
1696C22⋊C4—731no—
1697C22⋊C4—731no—
1698C22⋊C4—731no—
1699C22⋊C4—731no—
1700C22⋊C4—731no—
1701C22⋊C4—1461no—
1702C22⋊C4—1461no—
1703C22⋊C4—1461no—
1704C22⋊C4—1461no—
1705C22⋊C4—1461no—
1706C22⋊C4—1461no—
1707C22⋊C4—1461no—
1708C22⋊C4—1461no—
1709C22⋊C4—1461no—
1710C22⋊C4—1461no—
1711C22⋊C4—1461no—
1712C22⋊C4—1461no—
1713C22⋊C4—1461no—
1714C22⋊C4—1461no—
1715C22⋊C4—1461no—
1716C22⋊C4—1461no—
1717C42—21no—
1718C42—731no—
1719C42—731no—
1720C42—731no—
1721C42—731no—
1722C42—1461no—
1723C42—1461no—
1724C42—1461no—
1725C42—1461no—
1726C23—21no—
1727C23—21no—
1728C23—21no—
1729C23—42no—
1730C23—81no—
1731C23—81no—
1732C23—2922no—
1733C23—2922no—
1734C23—2922no—
1735C23—2922no—
1736C23—2922no—
1737C23—5841no—
1738C23—5841no—
1739C23—5841no—
1740C23—5841no—
1741C23—5841no—
1742C23—5841no—
1743C23—5841no—
1744C23—5841no—
1745C23—5841no—
1746C23—5841no—
1747C23—731no—
1748C23—731no—
1749C23—1461no—
1750C23—1461no—
1751C23—1461no—
1752C23—1461no—
1753C23C2×D4×D7311yescharacteristic
1754C23C2×D4×D7311yescharacteristic
1755C23C2×D4×D7311yescharacteristic
1756Q8—21no—
1757Q8—21no—
1758Q8—41no—
1759Q8—2921no—
1760Q8—2922no—
1761Q8—5841no—
1762Q8—732no—
1763Q8—1461no—
1764Q8—1461no—
1765Q8—1461no—
1766D4—21no—
1767D4—21no—
1768D4—21no—
1769D4—21no—
1770D4—21no—
1771D4—21no—
1772D4—41no—
1773D4—41no—
1774D4—41no—
1775D4—42no—
1776D4—81no—
1777D4—81no—
1778D4—81no—
1779D4—81no—
1780D4—81no—
1781D4—81no—
1782D4—81no—
1783D4—2922no—
1784D4—2922no—
1785D4—2922no—
1786D4—2921no—
1787D4—2922no—
1788D4—2922no—
1789D4—2922no—
1790D4—2922no—
1791D4—2922no—
1792D4—2922no—
1793D4—2922no—
1794D4—2921no—
1795D4—2921no—
1796D4—2922no—
1797D4—2922no—
1798D4—2922no—
1799D4—2922no—
1800D4—5841no—
1801D4—5841no—
1802D4—5841no—
1803D4—5841no—
1804D4—5841no—
1805D4—5841no—
1806D4—5841no—
1807D4—5841no—
1808D4—5841no—
1809D4—5841no—
1810D4—5841no—
1811D4—5841no—
1812D4—5841no—
1813D4—5841no—
1814D4—5841no—
1815D4—5841no—
1816D4—732no—
1817D4—1462no—
1818D4—1462no—
1819D4—1462no—
1820D4—1462no—
1821D4—1464no—
1822D4—1461no—
1823D4—1461no—
1824D4—1461no—
1825D4—1461no—
1826D4—1461no—
1827D4—1461no—
1828D4—1461no—
1829C2×C4—21no—
1830C2×C4—21no—
1831C2×C4—21no—
1832C2×C4—21no—
1833C2×C4—21no—
1834C2×C4—21no—
1835C2×C4—21no—
1836C2×C4—21no—
1837C2×C4—21no—
1838C2×C4—21no—
1839C2×C4—21no—
1840C2×C4—81no—
1841C2×C4—81no—
1842C2×C4—2922no—
1843C2×C4—2922no—
1844C2×C4—2922no—
1845C2×C4—2922no—
1846C2×C4—2922no—
1847C2×C4—2922no—
1848C2×C4—2922no—
1849C2×C4—2922no—
1850C2×C4—5841no—
1851C2×C4—5841no—
1852C2×C4—5841no—
1853C2×C4—5841no—
1854C2×C4—5841no—
1855C2×C4—5841no—
1856C2×C4—731no—
1857C2×C4—731no—
1858C2×C4—731no—
1859C2×C4—731no—
1860C2×C4—731no—
1861C2×C4—731no—
1862C2×C4—1464no—
1863C2×C4—1461no—
1864C2×C4—1461no—
1865C2×C4—1461no—
1866C2×C4—1462no—
1867C2×C4—1462no—
1868C2×C4—1461no—
1869C2×C4—1461no—
1870C2×C4—1461no—
1871C2×C4—1461no—
1872C2×C4—1461no—
1873C2×C4C2×D4×D7311yescharacteristic
1874C2×C4C2×D4×D7311yescharacteristic
1875C2×C4C2×D4×D7311yescharacteristic
1876C2×C4C24×D7311yescharacteristic
1877C8—21no—
1878C8—21no—
1879C8—21no—
1880C8—21no—
1881C8—1461no—
1882C8—1461no—
1883C8—1461no—
1884C8—1461no—
1885C22—21no—
1886C22—21no—
1887C22—21no—
1888C22—21no—
1889C22—21no—
1890C22—21no—
1891C22—21no—
1892C22—21no—
1893C22—21no—
1894C22—41no—
1895C22—41no—
1896C22—41no—
1897C22—41no—
1898C22—41no—
1899C22—41no—
1900C22—41no—
1901C22—41no—
1902C22—41no—
1903C22—162no—
1904C22—2921no—
1905C22—2921no—
1906C22—2921no—
1907C22—2921no—
1908C22—2921no—
1909C22—2921no—
1910C22—2921no—
1911C22—2921no—
1912C22—2921no—
1913C22—2921no—
1914C22—2921no—
1915C22—11682no—
1916C22—11682no—
1917C22—11682no—
1918C22—11682no—
1919C22—11682no—
1920C22—1461no—
1921C22—1461no—
1922C22—1462no—
1923C22—1461no—
1924C22—1461no—
1925C22—1461no—
1926C22—1461no—
1927C22C22×D4×D7311yescharacteristic
1928C4—21no—
1929C4—21no—
1930C4—21no—
1931C4—41no—
1932C4—41no—
1933C4—41no—
1934C4—41no—
1935C4—41no—
1936C4—2921no—
1937C4—2921no—
1938C4—2921no—
1939C4—732no—
1940C4—732no—
1941C4—1462no—
1942C4—1461no—
1943C4—1461no—
1944C4—1461no—
1945C4—1461no—
1946C4H(5,𝔽2)×D7311yescharacteristic
1947C4H(5,𝔽2)×D7311yescharacteristic
1948C2—41no—
1949C2—41no—
1950C2—41no—
1951C2—81no—
1952C2—81no—
1953C2—81no—
1954C2—2922no—
1955C2—2921no—
1956C2—2921no—
1957C2—5841no—
1958C2—5841no—
1959C2—5841no—
1960C2#2262356311yescharacteristic
1961C2#576×D7311yescharacteristic
1962C2#577×D7311yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3198C2
socleC22×C73C23×D4
hypercenter#3198D73
hypocenterC73#61668
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C2×#41 ◁ #3198

Complements

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

NH ≅ G/Ntype
1. #22624326C2semidirect
2. #22623706C2semidirect
3. #22622267C2semidirect
4. #22622264C2semidirect
5. #22622256C2semidirect
6. #22622253C2semidirect
7. #22621753C2semidirect
8. #22621750C2semidirect
9. #22621742C2semidirect
10. #22621739C2semidirect
11. #22621688C2semidirect
12. #22621684C2semidirect
13. #22621659C2semidirect
14. #22621658C2semidirect
15. #22621548C2semidirect
16. #22621544C2semidirect
17. #22621528C2semidirect
18. #22621524C2semidirect
19. #22620870C2semidirect
20. #22620847C2semidirect
21. #22620789C2semidirect
22. #22620783C2semidirect
23. #22620781C2semidirect
24. #22619997C2semidirect
25. #22619986C2semidirect
26. #22619238C2semidirect
27. #22619236C2semidirect
28. #22619232C2semidirect
29. #22619230C2semidirect
30. #22618995C2semidirect
31. C73×#3198C2semidirect
34. C2×#14556619C22semidirect
35. C2×#14556618C22semidirect
36. C2×#14556616C22semidirect
37. C2×#14556615C22semidirect
38. C2×#14556613C22semidirect
39. C2×#14556612C22semidirect
40. C2×#14556611C22semidirect
41. C2×#14556610C22semidirect
44. #17989295C22semidirect
45. #17989292C22semidirect
47. #17989256C22semidirect
53. #17989255C22semidirect
54. #17989239C22semidirect
55. #17989238C22semidirect
56. #17989237C22semidirect
57. #17989236C22semidirect
68. #17989167C22semidirect
70. #17989166C22semidirect
71. #17989165C22semidirect
76. #17989139C22semidirect
79. #17989132C22semidirect
83. #17988962C22semidirect
84. #17988962C22semidirect
85. #17988958C22semidirect
86. #17988958C22semidirect
87. #17988932C22semidirect
88. #17988932C22semidirect
89. #17988932C22semidirect
90. #17988932C22semidirect
91. #17988928C22semidirect
92. #17988911C22semidirect
93. #17988907C22semidirect
94. #17988907C22semidirect
95. #17988903C22semidirect
96. #17988902C22semidirect
97. #17988902C22semidirect
98. #17988898C22semidirect
99. #17988881C22semidirect
100. #17988876C22semidirect
101. #17988871C22semidirect
102. #17988866C22semidirect
103. #17988841C22semidirect
104. #17988839C22semidirect
105. #17988838C22semidirect
106. #17988836C22semidirect
107. #17988834C22semidirect
108. #17988831C22semidirect
109. #17988824C22semidirect
110. #17988822C22semidirect
111. #17988821C22semidirect
112. #17988819C22semidirect
113. #17988817C22semidirect
114. #17988814C22semidirect
115. #17988796C22semidirect
116. #17988791C22semidirect
117. #17988786C22semidirect
118. #17988786C22semidirect
119. #17988786C22semidirect
120. #17988785C22semidirect
121. #17988785C22semidirect
122. #17988781C22semidirect
123. #17988781C22semidirect
124. #17988781C22semidirect
125. #17988780C22semidirect
126. #17988780C22semidirect
128. #17988751C22semidirect
129. #17988750C22semidirect
131. #17988747C22semidirect
132. #17988746C22semidirect
133. #17988740C22semidirect
134. #17988740C22semidirect
135. #17988739C22semidirect
136. #17988738C22semidirect
137. #17988737C22semidirect
138. #17988737C22semidirect
139. #17988736C22semidirect
140. #17988735C22semidirect
141. #17988735C22semidirect
143. #17988734C22semidirect
144. #17988733C22semidirect
145. #17988733C22semidirect
146. #17988733C22semidirect
148. #17988730C22semidirect
149. #17988730C22semidirect
150. #17988730C22semidirect
151. #17988729C22semidirect
152. #17988723C22semidirect
153. #17988723C22semidirect
154. #17988722C22semidirect
155. #17988721C22semidirect
156. #17988720C22semidirect
157. #17988720C22semidirect
158. #17988719C22semidirect
159. #17988681C22semidirect
160. #17988679C22semidirect
161. #17988678C22semidirect
162. #17988674C22semidirect
163. #17988674C22semidirect
164. #17988672C22semidirect
165. #17988669C22semidirect
166. #17988667C22semidirect
167. #17988663C22semidirect
168. #17988663C22semidirect
169. #17988662C22semidirect
170. #17988662C22semidirect
171. C8×C22⋊D73C22semidirect
172. C8×C22⋊D73C22semidirect
173. #17988650C22semidirect
174. #17988650C22semidirect
175. #17988637C22semidirect
176. #17988637C22semidirect
177. #17988589C22semidirect
178. #17988586C22semidirect
179. #17988585C22semidirect
180. #17988585C22semidirect
181. C2×#14556513C22semidirect
182. C2×#14556511C22semidirect
183. #102×D73C22semidirect
184. #102×D73C22semidirect
185. #17988554C22semidirect
186. #17988552C22semidirect
187. #17988552C22semidirect
188. #537×C73C22semidirect
190. #485×C73C22semidirect
191. #482×C73C22semidirect
192. #481×C73C22semidirect
193. #480×C73C22semidirect
194. #469×C73C22semidirect
195. #468×C73C22semidirect
196. #466×C73C22semidirect
197. #465×C73C22semidirect
198. #450×C73C22semidirect
199. #449×C73C22semidirect
200. #449×C73C22semidirect
201. #447×C73C22semidirect
202. #408×C73C22semidirect
1005. #3198D73semidirect
1013. C73#61668semidirect
1055. #537C2×D73semidirect
1076. #485C2×D73semidirect
1078. #482C2×D73semidirect
1082. #481C2×D73semidirect
1086. #480C2×D73semidirect
1094. #469C2×D73semidirect
1098. #468C2×D73semidirect
1102. #466C2×D73semidirect
1106. #465C2×D73semidirect
1132. #450C2×D73semidirect
1145. #449C2×D73semidirect
1146. #449C2×D73semidirect
1154. #447C2×D73semidirect
1184. #408C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226243262
#226237062
#226222672
#226222642
#226222562
#226222532
#226217532
#226217502
#226217422
#226217392
#226216882
#226216842
#226216592
#226216582
#226215482
#226215442
#226215282
#226215242
#226208702
#226208472
#226207892
#226207832
#226207812
#226199972
#226199862
#226192382
#226192362
#226192322
#226192302
#226189952
C73×#31982
#6166873