Finite Group Databasebeta

← #33972221

Subgroups — #33972221

Order 18688.

2174 conjugacy classes of subgroups.

The subgroup lattice has 1952 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624243C211yesmaximal, characteristic, complemented
2#22623598C211yesmaximal, characteristic, complemented
3#22622086C211yesmaximal, characteristic, complemented
4#22621959C211yesmaximal, characteristic, complemented
5#22621944C211yesmaximal, characteristic, complemented
6#22621921C211yesmaximal, characteristic, complemented
7#22621880C211yesmaximal, characteristic, complemented
8#22621825C211yesmaximal, characteristic, complemented
9#22621788C211yesmaximal, characteristic, complemented
10#22621743C211yesmaximal, characteristic, complemented
11#22621686C211yesmaximal, characteristic, complemented
12#22621637C211yesmaximal, characteristic, complemented
13#22621615C211yesmaximal, characteristic, complemented
14#22621603C211yesmaximal, characteristic, complemented
15#22621470C211yesmaximal, characteristic, complemented
16#22621466C211yesmaximal, characteristic, complemented
17#22621432C211yesmaximal, characteristic, complemented
18#22621410C211yesmaximal, characteristic, complemented
19#22620981C211yesmaximal, characteristic, complemented
20#22620832C211yesmaximal, characteristic, complemented
21#22620782C211yesmaximal, characteristic, complemented
22#22620699C211yesmaximal, characteristic, complemented
23#22620680C211yesmaximal, characteristic, complemented
24#22620187C211yesmaximal, characteristic, complemented
25#22620132C211yesmaximal, characteristic, complemented
26#22619236C211yesmaximal, characteristic, complemented
27#22619194C211yesmaximal, characteristic, complemented
28#22619152C211yesmaximal, characteristic, complemented
29#449×D73C211yesmaximal, characteristic, complemented
30#22618986C211yesmaximal, characteristic, complemented
31C73×#3224C211yesmaximal, characteristic, complemented
32C2×#14556636C2211yescharacteristic, complemented
33C2×#41×D73C2211yescharacteristic, complemented
34C2×#14556618C2211yescharacteristic, complemented
35C2×#14556615C2211yescharacteristic, complemented
36C2×#14556614C2211yescharacteristic, complemented
37C2×#14556612C2211yescharacteristic, complemented
38C2×#14556612C2211yescharacteristic, complemented
39C2×SD16×D73C2211yescharacteristic, complemented
40C2×D8×D73C2211yescharacteristic, complemented
41C2×D8×D73C2211yescharacteristic, complemented
42#17989333—21no—
43#17989328—21no—
44#17989303C2211yescharacteristic, complemented
45#17989287C2211yescharacteristic, complemented
46#17989278C2211yescharacteristic, complemented
47#17989262—21no—
48#17989259C2211yescharacteristic, complemented
49#17989257C2211yescharacteristic, complemented
50#17989257C2211yescharacteristic, complemented
51#17989245C2211yescharacteristic
52#17989245C2211yescharacteristic, complemented
53#17989240C2211yescharacteristic, complemented
54#17989230C2211yescharacteristic, complemented
55#17989230C2211yescharacteristic, complemented
56#17989230C2211yescharacteristic, complemented
57#17989230C2211yescharacteristic, complemented
58#17989228—21no—
59#17989224—21no—
60#17989224—21no—
61D4×D292C2211yescharacteristic, complemented
62#17989222C2211yescharacteristic
63#17989222C2211yescharacteristic, complemented
64#17989219—21no—
65#17989219—21no—
66#17989192C2211yescharacteristic, complemented
67#17989189—21no—
68#17989171—21no—
69#17989167C2211yescharacteristic, complemented
70#17989166—21no—
71#17989165C2211yescharacteristic, complemented
72#17989155—21no—
73#17989153—21no—
74#17989153C2211yescharacteristic, complemented
75#17989148—21no—
76#17989100C2211yescharacteristic, complemented
77#17989099C2211yescharacteristic
78#17989097—21no—
79C2×#14556562C2211yescharacteristic, complemented
80#121×D73—21no—
81#121×D73C2211yescharacteristic, complemented
82#17989067C2211yescharacteristic, complemented
83#17988977C2211yescharacteristic, complemented
84#17988963C2211yescharacteristic, complemented
85#17988951C2211yescharacteristic, complemented
86#17988941C2211yescharacteristic, complemented
87#17988926C2211yescharacteristic, complemented
88#17988921C2211yescharacteristic, complemented
89#17988920C2211yescharacteristic, complemented
90#17988910C2211yescharacteristic, complemented
91#17988910C2211yescharacteristic, complemented
92#17988910C2211yescharacteristic, complemented
93#17988906C2211yescharacteristic, complemented
94#17988901C2211yescharacteristic, complemented
95#17988899C2211yescharacteristic, complemented
96#17988899C2211yescharacteristic, complemented
97#17988899C2211yescharacteristic, complemented
98#17988898C2211yescharacteristic, complemented
99#17988895C2211yescharacteristic, complemented
100#17988888C2211yescharacteristic, complemented
101#17988879C2211yescharacteristic, complemented
102#17988864C2211yescharacteristic, complemented
103#17988837C2211yescharacteristic, complemented
104#17988836C2211yescharacteristic, complemented
105#17988836C2211yescharacteristic, complemented
106#17988830C2211yescharacteristic, complemented
107#17988825C2211yescharacteristic, complemented
108#17988822C2211yescharacteristic, complemented
109#17988822C2211yescharacteristic, complemented
110#17988822C2211yescharacteristic, complemented
111#17988822C2211yescharacteristic, complemented
112#17988822C2211yescharacteristic, complemented
113#17988822C2211yescharacteristic, complemented
114#17988820C2211yescharacteristic, complemented
115#17988820C2211yescharacteristic, complemented
116#17988813C2211yescharacteristic, complemented
117#17988813C2211yescharacteristic, complemented
118#17988813C2211yescharacteristic, complemented
119#17988806C2211yescharacteristic, complemented
120#17988799C2211yescharacteristic, complemented
121#17988799C2211yescharacteristic, complemented
122#17988799C2211yescharacteristic, complemented
123#17988788C2211yescharacteristic, complemented
124#17988783C2211yescharacteristic, complemented
125#17988779C2211yescharacteristic, complemented
126#17988779C2211yescharacteristic, complemented
127#17988748C2211yescharacteristic, complemented
128#17988747C2211yescharacteristic, complemented
129#17988746C2211yescharacteristic, complemented
130#17988741C2211yescharacteristic, complemented
131#17988736C2211yescharacteristic, complemented
132#17988736C2211yescharacteristic, complemented
133#17988736C2211yescharacteristic, complemented
134#17988735C2211yescharacteristic, complemented
135#17988734C2211yescharacteristic, complemented
136#17988734C2211yescharacteristic, complemented
137#17988733C2211yescharacteristic, complemented
138#17988733C2211yescharacteristic, complemented
139#17988733C2211yescharacteristic, complemented
140#17988732C2211yescharacteristic, complemented
141#17988732C2211yescharacteristic, complemented
142#17988731C2211yescharacteristic, complemented
143#17988731C2211yescharacteristic, complemented
144#17988731C2211yescharacteristic, complemented
145#17988731C2211yescharacteristic, complemented
146#17988730C2211yescharacteristic
147#17988729C2211yescharacteristic, complemented
148#17988729C2211yescharacteristic, complemented
149#17988727C2211yescharacteristic, complemented
150#17988722C2211yescharacteristic, complemented
151#17988722C2211yescharacteristic, complemented
152#17988722C2211yescharacteristic, complemented
153#17988721C2211yescharacteristic, complemented
154#17988721C2211yescharacteristic, complemented
155#17988719C2211yescharacteristic, complemented
156#17988719C2211yescharacteristic, complemented
157#17988719C2211yescharacteristic, complemented
158#17988719C2211yescharacteristic, complemented
159#17988700C2211yescharacteristic, complemented
160#17988689C2211yescharacteristic, complemented
161#17988687C2211yescharacteristic, complemented
162#17988685C2211yescharacteristic, complemented
163C4×#11924018C2211yescharacteristic, complemented
164C4×#11924017C2211yescharacteristic, complemented
165C4×D584C2211yescharacteristic, complemented
166C4×#11924013C2211yescharacteristic, complemented
167#17988660C2211yescharacteristic, complemented
168#17988660C2211yescharacteristic, complemented
169#17988657C2211yescharacteristic, complemented
170#17988657C2211yescharacteristic, complemented
171C8×D292C2211yescharacteristic, complemented
172C8×D292C2211yescharacteristic, complemented
173#17988652C2211yescharacteristic, complemented
174#17988652C2211yescharacteristic, complemented
175#17988648C2211yescharacteristic, complemented
176#17988590C2211yescharacteristic, complemented
177#17988585C2211yescharacteristic, complemented
178#17988582C2211yescharacteristic, complemented
179#17988580C2211yescharacteristic, complemented
180#17988580C2211yescharacteristic, complemented
181#103×D73C2211yescharacteristic, complemented
182#102×D73C2211yescharacteristic, complemented
183#102×D73C2211yescharacteristic, complemented
184#17988552C2211yescharacteristic, complemented
185#17988552C2211yescharacteristic, complemented
186C22⋊C8×D73C2211yescharacteristic, complemented
187C22⋊C8×D73C2211yescharacteristic, complemented
188#542×C73C2211yescharacteristic, complemented
189#535×C73C2211yescharacteristic, complemented
190#496×C73C2211yescharacteristic, complemented
191#495×C73C2211yescharacteristic, complemented
192#489×C73C2211yescharacteristic, complemented
193#486×C73C2211yescharacteristic, complemented
194#464×C73C2211yescharacteristic, complemented
195#463×C73C2211yescharacteristic, complemented
196#460×C73C2211yescharacteristic, complemented
197#459×C73C2211yescharacteristic, complemented
198#452×C73C2211yescharacteristic, complemented
199#450×C73C2211yescharacteristic, complemented
200#449×C73C2211yescharacteristic, complemented
201#447×C73C2211yescharacteristic, complemented
202#433×C73C2211yescharacteristic, complemented
203#14556636—42no—
204#14556636—42no—
205C2×#11924029—21no—
206C2×#11924029C2311yescharacteristic
207C2×#11924029C2311yescharacteristic
208C2×#11924029C2311yescharacteristic
209C2×#11924028—21no—
210C2×#11924028C2311yescharacteristic
211C2×#11924028C2311yescharacteristic
212C2×#11924027—21no—
213C2×#11924027—21no—
214C2×#11924027C2311yescharacteristic
215C2×#11924027C2311yescharacteristic
216C2×#11924027C2311yescharacteristic
217#41×D73—42no—
218#41×D73—42no—
219C2×Q8×D73C2311yescharacteristic
220C22×D292—21no—
221C22×C22⋊D73—21no—
222C22×C22⋊D73—21no—
223C22×C22⋊D73—21no—
224C2×D4×D73—21no—
225C2×D4×D73—21no—
226C2×D4×D73—21no—
227C2×D4×D73—21no—
228C2×D4×D73—21no—
229C2×D4×D73C2311yescharacteristic
230C2×D4×D73C2311yescharacteristic
231C2×D4×D73C2311yescharacteristic
232C2×D4×D73C2311yescharacteristic
233C2×D4×D73C2311yescharacteristic
234C22×C4×D73—21no—
235C22×C4×D73C2311yescharacteristic
236#14556618—42no—
237#14556615—42no—
238#14556614—42no—
239#14556612—42no—
240#14556612—42no—
241C2×#11924018C2311yescharacteristic
242C2×#11924017C2311yescharacteristic
243C2×#11924017C2311yescharacteristic
244C2×#11924016C2311yescharacteristic
245C2×#11924015C2311yescharacteristic
246C2×#11924015C2311yescharacteristic
247C2×#11924015C2311yescharacteristic
248SD16×D73—42no—
249C2×D584C2311yescharacteristic
250C2×D584C2311yescharacteristic
251C2×#11924013C2311yescharacteristic
252C2×#11924013C2311yescharacteristic
253C2×#11924013C2311yescharacteristic
254C2×#11924013C2311yescharacteristic
255C2×#11924013C2311yescharacteristic
256C2×#11924013C2311yescharacteristic
257C2×#11924013C2311yescharacteristic
258D8×D73—42no—
259D8×D73—42no—
260C2×#11924011C2311yescharacteristic
261C2×#11924011C2311yescharacteristic
262C2×C8×D73C2311yescharacteristic
263C2×C8×D73C2311yescharacteristic
264C2×C8×D73C2311yescharacteristic
265C2×C8×D73C2311yescharacteristic
266C2×C8×D73C2311yescharacteristic
267C2×C8×D73C2311yescharacteristic
268#14556588—21no—
269#14556588C2311yescharacteristic
270#14556587—21no—
271#14556587—21no—
272#14556587—21no—
273#14556585—21no—
274#14556584—21no—
275#14556583C2311yescharacteristic
276#14556581—21no—
277#14556580—21no—
278#14556580—21no—
279#14556577—21no—
280#14556577—21no—
281#14556577—21no—
282#14556576—21no—
283#14556576—21no—
284#14556576—21no—
285#14556576—21no—
286#14556576—21no—
287#14556576—21no—
288#14556575D411yescharacteristic
289#14556575D411yescharacteristic
290#14556574—21no—
291#14556573—21no—
292#14556573—21no—
293#14556573—21no—
294#14556573—21no—
295#14556571D411yescharacteristic
296#14556571D411yescharacteristic
297#14556570—21no—
298#14556569—21no—
299#14556568—21no—
300#14556568—21no—
301#14556567—21no—
302#14556567C2311yescharacteristic
303#14556567C2311yescharacteristic
304#14556567C2311yescharacteristic
305#14556567C2311yescharacteristic
306#14556566—21no—
307#14556566—21no—
308#14556566—21no—
309#14556566—21no—
310#14556566D411yescharacteristic
311#14556566D411yescharacteristic
312#14556566C2311yescharacteristic
313#14556566C2311yescharacteristic
314#14556566C2311yescharacteristic
315#14556566C2311yescharacteristic
316#14556565—21no—
317#14556565—21no—
318#14556565C2311yescharacteristic
319#14556565C2311yescharacteristic
320#14556564—21no—
321#14556564—21no—
322#14556564—21no—
323#14556564—21no—
324#14556564—21no—
325#14556564—21no—
326#14556564—21no—
327#14556564—21no—
328#14556564—21no—
329#14556564—21no—
330#14556564—21no—
331#14556564—21no—
332#14556563—21no—
333#14556563—21no—
334#14556563—21no—
335#14556563—21no—
336#14556563—21no—
337#14556563—21no—
338#14556563—21no—
339#14556562—21no—
340#14556562—21no—
341#14556562—21no—
342#14556562—21no—
343#14556562C2311yescharacteristic
344#14556562C2311yescharacteristic
345#14556562C2311yescharacteristic
346#14556562C2311yescharacteristic
347#14556562C2311yescharacteristic
348#14556562C2311yescharacteristic
349#14556562C2311yescharacteristic
350#14556562C2311yescharacteristic
351#14556561—21no—
352#14556561—21no—
353#14556561—21no—
354#14556561—21no—
355#14556561—21no—
356#14556561—21no—
357#14556561—21no—
358#14556561—21no—
359#14556561D411yescharacteristic
360#14556561D411yescharacteristic
361#14556559—21no—
362#14556559—21no—
363#14556559—21no—
364#14556559—21no—
365#14556559—21no—
366C4×Dic146C2311yescharacteristic
367C4×Dic146C2311yescharacteristic
368C4×D292—21no—
369C4×D292C2311yescharacteristic
370C4×D292C2311yescharacteristic
371C4×D292C2311yescharacteristic
372C4×D292C2311yescharacteristic
373C4×D292C2311yescharacteristic
374C4×D292C2311yescharacteristic
375C4×D292C2311yescharacteristic
376C4×D292C2311yescharacteristic
377D4×Dic73—21no—
378D4×Dic73—21no—
379#14556553—21no—
380C4×C22⋊D73—21no—
381#14556551—21no—
382#14556551—21no—
383#14556551—21no—
384#14556551—21no—
385#14556551—21no—
386#14556549—21no—
387#14556549—21no—
388#14556549C2311yescharacteristic
389#14556549C2311yescharacteristic
390#14556548—21no—
391C2×C4⋊Dic73C2311yescharacteristic
392C4⋊C4×D73—21no—
393C4⋊C4×D73C2311yescharacteristic
394C4⋊C4×D73C2311yescharacteristic
395C2×C22⋊Dic73—21no—
396C22⋊C4×D73—21no—
397C22⋊C4×D73—21no—
398C22⋊C4×D73—21no—
399C22⋊C4×D73—21no—
400C22⋊C4×D73—21no—
401#14556525C2311yescharacteristic
402#14556525C2311yescharacteristic
403#14556524C2311yescharacteristic
404#14556524C2311yescharacteristic
405#14556524C2311yescharacteristic
406#14556524C2311yescharacteristic
407#14556523C2311yescharacteristic
408#14556523C2311yescharacteristic
409C4⋊#10596831C2311yescharacteristic
410C4⋊#10596831C2311yescharacteristic
411#14556516C2311yescharacteristic
412#14556516C2311yescharacteristic
413#14556515C2311yescharacteristic
414#14556515C2311yescharacteristic
415#14556515C2311yescharacteristic
416#14556515C2311yescharacteristic
417#14556514C2311yescharacteristic
418#14556514C2311yescharacteristic
419#14556513C2311yescharacteristic
420#14556513C2311yescharacteristic
421#14556513C2311yescharacteristic
422#14556513C2311yescharacteristic
423#14556513C2311yescharacteristic
424#14556513C2311yescharacteristic
425#14556512C2311yescharacteristic
426#14556512C2311yescharacteristic
427#14556512C2311yescharacteristic
428#14556512C2311yescharacteristic
429#14556512C2311yescharacteristic
430#14556512C2311yescharacteristic
431#14556512C2311yescharacteristic
432#14556512C2311yescharacteristic
433#14556511C2311yescharacteristic
434#14556511C2311yescharacteristic
435C22⋊#10596831C2311yescharacteristic
436C22⋊#10596831C2311yescharacteristic
437#14556503C2311yescharacteristic
438#14556503C2311yescharacteristic
439#14556503C2311yescharacteristic
440#14556503C2311yescharacteristic
441#14556503C2311yescharacteristic
442#14556503C2311yescharacteristic
443#14556503C2311yescharacteristic
444#14556503C2311yescharacteristic
445#14556502C2311yescharacteristic
446C4×#10596831C2311yescharacteristic
447C2×#41×C73C2311yescharacteristic
448C22×D4×C73C2311yescharacteristic
449C2×Q16×C73C2311yescharacteristic
450C2×SD16×C73C2311yescharacteristic
451C2×SD16×C73C2311yescharacteristic
452C2×SD16×C73C2311yescharacteristic
453C2×SD16×C73C2311yescharacteristic
454C2×D8×C73C2311yescharacteristic
455C2×D8×C73C2311yescharacteristic
456C2×D8×C73C2311yescharacteristic
457C4⋊Q8×C73C2311yescharacteristic
458#127×C73C2311yescharacteristic
459#127×C73C2311yescharacteristic
460#126×C73—21no—
461#124×C73—21no—
462#124×C73C2311yescharacteristic
463#124×C73C2311yescharacteristic
464#124×C73C2311yescharacteristic
465#123×C73—21no—
466C22⋊Q8×C73—21no—
467C22⋊Q8×C73C2311yescharacteristic
468#121×C73—21no—
469#121×C73—21no—
470#121×C73C2311yescharacteristic
471#120×C73—21no—
472#120×C73—21no—
473C4×Q8×C73C2311yescharacteristic
474C4×D4×C73C2311yescharacteristic
475#117×C73C2311yescharacteristic
476C4⋊C8×C73C2311yescharacteristic
477C4⋊C8×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
488#97×C73C2311yescharacteristic
489C4×C8×C73C2311yescharacteristic
490C23×D73—21no—
491C23×D73—21no—
492C23×D73—21no—
493C23×D73—21no—
494C23×D73—21no—
495C23×D73C2×D411yescharacteristic
496#11924029—22no—
497#11924029—41no—
498#11924029—41no—
499#11924029—41no—
500#11924029—41no—
501#11924029—41no—
502#11924029—82no—
503#11924028—22no—
504#11924028—22no—
505#11924028—41no—
506#11924028—41no—
507#11924028—44no—
508#11924027—22no—
509#11924027—22no—
510#11924027—22no—
511#11924027—41no—
512#11924027—41no—
513#11924027—41no—
514#11924027—44no—
515#11924027—44no—
516C2×Dic146—21no—
517C2×Dic146C2×D411yescharacteristic
518C2×Dic146C2411yescharacteristic
519Q8×D73—22no—
520Q8×D73—41no—
521C2×D292—21no—
522C2×D292—21no—
523C2×D292—21no—
524C2×D292—21no—
525C2×D292—21no—
526C2×D292—21no—
527C2×D292—21no—
528C2×D292—21no—
529C2×D292—21no—
530C2×D292—82no—
531C2×D292C2×D411yescharacteristic
532C2×D292C2×D411yescharacteristic
533C2×D292C2×D411yescharacteristic
534C2×D292C2×D411yescharacteristic
535C2×D292C2×D411yescharacteristic
536C2×D292C2411yescharacteristic
537C2×D292C2411yescharacteristic
538C2×D292C2411yescharacteristic
539C2×C22⋊D73—21no—
540C2×C22⋊D73—21no—
541C2×C22⋊D73—21no—
542C2×C22⋊D73—21no—
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—44no—
559C2×C22⋊D73—44no—
560C2×C22⋊D73—82no—
561C2×C22⋊D73C2×D411yescharacteristic
562C2×C22⋊D73C2×D411yescharacteristic
563D4×D73—22no—
564D4×D73—22no—
565D4×D73—22no—
566D4×D73—41no—
567D4×D73—41no—
568D4×D73—41no—
569D4×D73—41no—
570D4×D73—41no—
571D4×D73—41no—
572D4×D73—41no—
573D4×D73—44no—
574D4×D73—44no—
575D4×D73—82no—
576D4×D73—82no—
577D4×D73—82no—
578C22×Dic73—21no—
579C22×Dic73—21no—
580C22×Dic73—21no—
581C22×Dic73—21no—
582C22×Dic73C2×D411yescharacteristic
583C2×C4×D73—21no—
584C2×C4×D73—21no—
585C2×C4×D73—21no—
586C2×C4×D73—21no—
587C2×C4×D73—21no—
588C2×C4×D73—21no—
589C2×C4×D73—21no—
590C2×C4×D73—21no—
591C2×C4×D73—21no—
592C2×C4×D73—21no—
593C2×C4×D73—21no—
594C2×C4×D73—41no—
595C2×C4×D73—41no—
596C2×C4×D73—44no—
597C2×C4×D73C2×D411yescharacteristic
598C2×C4×D73C2×D411yescharacteristic
599C2×C4×D73C2411yescharacteristic
600C2×C4×D73C2411yescharacteristic
601C2×C4×D73C2411yescharacteristic
602C2×C4×D73C2411yescharacteristic
603#11924018—22no—
604#11924017—22no—
605#11924017—22no—
606#11924016—22no—
607#11924015—22no—
608#11924015—41no—
609#11924015—41no—
610D584—22no—
611D584—22no—
612#11924013—22no—
613#11924013—41no—
614#11924013—41no—
615#11924013—41no—
616#11924013—41no—
617#11924013—41no—
618#11924013—41no—
619#11924011—41no—
620#11924011—41no—
621C2×#10596831C2411yescharacteristic
622C2×#10596831C2411yescharacteristic
623C2×#10596831C2411yescharacteristic
624C2×#10596831C2411yescharacteristic
625C8×D73—41no—
626C8×D73—41no—
627C8×D73—41no—
628C8×D73—41no—
629C8×D73—41no—
630C8×D73—41no—
631C4⋊Dic73—21no—
632C4⋊Dic73C2×D411yescharacteristic
633C4⋊Dic73C2×D411yescharacteristic
634C4⋊Dic73C2×D411yescharacteristic
635C4⋊Dic73C2×D411yescharacteristic
636C4⋊Dic73C2411yescharacteristic
637C4⋊Dic73C2411yescharacteristic
638C4⋊Dic73C2411yescharacteristic
639C4⋊Dic73C2411yescharacteristic
640#11924007—21no—
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—
650C22⋊Dic73—21no—
651C22⋊Dic73—21no—
652C22⋊Dic73—21no—
653C22⋊Dic73—21no—
654C22⋊Dic73—21no—
655C22⋊Dic73—21no—
656C22⋊Dic73—21no—
657C22⋊Dic73—21no—
658#11924005—21no—
659#11924005—21no—
660#11924005—21no—
661#11924005—21no—
662#11924005—21no—
663#11924005—21no—
664#11924005—21no—
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#11924005C2×D411yescharacteristic
675#11924005C2×D411yescharacteristic
676#11924005C2×D411yescharacteristic
677#11924005C2×D411yescharacteristic
678#11924005C2×D411yescharacteristic
679#11924005C2×D411yescharacteristic
680#11924005C2×D411yescharacteristic
681#11924005C2×D411yescharacteristic
682C4×Dic73—21no—
683C4×Dic73—21no—
684C4×Dic73—21no—
685C4×Dic73—21no—
686C24×C73—21no—
687#41×C73—41no—
688#41×C73—41no—
689C2×Q8×C73—21no—
690C2×Q8×C73C2411yescharacteristic
691C2×Q8×C73C2411yescharacteristic
692C2×D4×C73—21no—
693C2×D4×C73—21no—
694C2×D4×C73—21no—
695C2×D4×C73—21no—
696C2×D4×C73—21no—
697C2×D4×C73—21no—
698C2×D4×C73—21no—
699C2×D4×C73—41no—
700C2×D4×C73—41no—
701C2×D4×C73C2411yescharacteristic
702C2×D4×C73C2411yescharacteristic
703C2×D4×C73C2411yescharacteristic
704C2×D4×C73C2411yescharacteristic
705C22×C4×C73—21no—
706C22×C4×C73—21no—
707C22×C4×C73C2411yescharacteristic
708Q16×C73—41no—
709SD16×C73—41no—
710SD16×C73—41no—
711SD16×C73—41no—
712SD16×C73—41no—
713D8×C73—41no—
714D8×C73—41no—
715D8×C73—41no—
716C2×C8×C73C2411yescharacteristic
717C2×C8×C73C2411yescharacteristic
718C2×C8×C73C2411yescharacteristic
719C2×C8×C73C2411yescharacteristic
720C4⋊C4×C73—21no—
721C4⋊C4×C73—21no—
722C4⋊C4×C73—21no—
723C4⋊C4×C73C2×D411yescharacteristic
724C4⋊C4×C73C2×D411yescharacteristic
725C4⋊C4×C73C2411yescharacteristic
726C4⋊C4×C73C2411yescharacteristic
727C22⋊C4×C73—21no—
728C22⋊C4×C73—21no—
729C22⋊C4×C73—21no—
730C22⋊C4×C73—21no—
731C22⋊C4×C73—21no—
732C22⋊C4×C73—21no—
733C22⋊C4×C73—21no—
734C22⋊C4×C73—21no—
735C22⋊C4×C73—21no—
736C22⋊C4×C73C2×D411yescharacteristic
737C22⋊C4×C73C2×D411yescharacteristic
738C42×C73—21no—
739C42×C73C2411yescharacteristic
740C42×C73C2411yescharacteristic
741C23×C73—21no—
742C23×C73—21no—
743C23×C73—21no—
744C23×C73—21no—
745C23×C73—42no—
746C23×C73—81no—
747C23×C73—81no—
748C23×C73C22×D411yescharacteristic
749C22×D73—21no—
750C22×D73—22no—
751C22×D73—21no—
752C22×D73—21no—
753C22×D73—41no—
754C22×D73—41no—
755C22×D73—42no—
756C22×D73—42no—
757C22×D73—42no—
758C22×D73—42no—
759C22×D73—42no—
760C22×D73—81no—
761C22×D73—81no—
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×D73C22×D411yescharacteristic
771C22×D73C22×D411yescharacteristic
772C22×D73C22×D411yescharacteristic
773C22×D73C22×D411yescharacteristic
774Q8×C73—21no—
775Q8×C73—21no—
776Q8×C73—21no—
777Q8×C73—21no—
778Q8×C73—81no—
779D4×C73—21no—
780D4×C73—21no—
781D4×C73—21no—
782D4×C73—21no—
783D4×C73—21no—
784D4×C73—21no—
785D4×C73—21no—
786D4×C73—21no—
787D4×C73—42no—
788D4×C73—42no—
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—42no—
801C2×C4×C73—81no—
802C2×C4×C73C22×D411yescharacteristic
803C2×C4×C73C22×D411yescharacteristic
804C2×C4×C73C22×D411yescharacteristic
805C2×C4×C73C22×D411yescharacteristic
806C2×C4×C73C22×D411yescharacteristic
807C2×C4×C73C2511yescharacteristic
808C22⋊D73—24no—
809C22⋊D73—41no—
810C22⋊D73—41no—
811C22⋊D73—42no—
812C22⋊D73—42no—
813C22⋊D73—42no—
814C22⋊D73—42no—
815C22⋊D73—42no—
816C22⋊D73—42no—
817C22⋊D73—42no—
818C22⋊D73—42no—
819C22⋊D73—81no—
820C22⋊D73—81no—
821C22⋊D73—81no—
822C22⋊D73—81no—
823C22⋊D73—81no—
824C22⋊D73—81no—
825C22⋊D73—81no—
826C22⋊D73—81no—
827C22⋊D73—81no—
828C22⋊D73—81no—
829C2×Dic73—21no—
830C2×Dic73—21no—
831C2×Dic73—21no—
832C2×Dic73—21no—
833C2×Dic73—21no—
834C2×Dic73—41no—
835C2×Dic73—42no—
836C2×Dic73—42no—
837C2×Dic73—42no—
838C2×Dic73—81no—
839C2×Dic73C22×D411yescharacteristic
840C2×Dic73C22×D411yescharacteristic
841C2×Dic73C22×D411yescharacteristic
842C2×Dic73C22×D411yescharacteristic
843D292—22no—
844D292—22no—
845D292—21no—
846D292—21no—
847D292—21no—
848D292—21no—
849D292—21no—
850D292—41no—
851D292—41no—
852D292—41no—
853D292—42no—
854D292—42no—
855D292—81no—
856D292—81no—
857D292—81no—
858D292—81no—
859D292—81no—
860D292—81no—
861D292—81no—
862D292H(5,𝔽2)12yes—
863C4×D73—24no—
864C4×D73—21no—
865C4×D73—21no—
866C4×D73—21no—
867C4×D73—21no—
868C4×D73—21no—
869C4×D73—21no—
870C4×D73—21no—
871C4×D73—21no—
872C4×D73—41no—
873C4×D73—41no—
874C4×D73—42no—
875C4×D73—42no—
876C4×D73—42no—
877C4×D73—81no—
878C4×D73—81no—
879C4×D73—81no—
880C4×D73—81no—
881C4×D73—81no—
882C4×D73—81no—
883C4×D73—81no—
884Dic146—21no—
885Dic146—41no—
886Dic146—42no—
887Dic146H(5,𝔽2)12yes—
888C8×C73—21no—
889C8×C73—21no—
890C8×C73—21no—
891C8×C73—21no—
892#10596831—21no—
893#10596831—21no—
894#10596831—21no—
895#10596831—21no—
896C22×C73—21no—
897C22×C73—21no—
898C22×C73—21no—
899C22×C73—41no—
900C22×C73—41no—
901C22×C73—41no—
902C22×C73—41no—
903C22×C73—41no—
904C22×C73—41no—
905C22×C73—41no—
906C22×C73—41no—
907C22×C73—41no—
908C22×C73—41no—
909C22×C73—41no—
910C22×C73—41no—
911C22×C73—162no—
912C22×C73C23×D411yescharacteristic
913C2×D73—21no—
914C2×D73—21no—
915C2×D73—21no—
916C2×D73—21no—
917C2×D73—21no—
918C2×D73—22no—
919C2×D73—21no—
920C2×D73—21no—
921C2×D73—21no—
922C2×D73—21no—
923C2×D73—21no—
924C2×D73—21no—
925C2×D73—41no—
926C2×D73—41no—
927C2×D73—41no—
928C2×D73—41no—
929C2×D73—41no—
930C2×D73—41no—
931C2×D73—41no—
932C2×D73—41no—
933C2×D73—82no—
934C2×D73—84no—
935C2×D73—162no—
936C2×D73—162no—
937C2×D73—162no—
938C2×D73—162no—
939C2×D73#57612yes—
940C4×C73—21no—
941C4×C73—21no—
942C4×C73—21no—
943C4×C73—21no—
944C4×C73—21no—
945C4×C73—41no—
946C4×C73—41no—
947C4×C73—41no—
948C4×C73—41no—
949C4×C73C2×H(5,𝔽2)11yescharacteristic
950C4×C73C2×H(5,𝔽2)11yescharacteristic
951Dic73—22no—
952Dic73—21no—
953Dic73—21no—
954Dic73—21no—
955Dic73—21no—
956Dic73—41no—
957Dic73—41no—
958Dic73—41no—
959Dic73—41no—
960#61639—731nomaximal, Sylow
961C2×C73—41no—
962C2×C73—81no—
963C2×C73—81no—
964C2×C73—81no—
965C2×C73—81no—
966C2×C73#348411yescharacteristic
967C2×C73C2×#57611yescharacteristic
968C2×C73#358411yescharacteristic
969D73—22no—
970D73—41no—
971D73—41no—
972D73—41no—
973D73—42no—
974D73—81no—
975D73—81no—
976#3542—731no—
977#3488—731no—
978#3319—731no—
979#3310—731no—
980#3309—731no—
981#3308—731no—
982#3305—731no—
983#3300—731no—
984#3297—731no—
985#3294—731no—
986#3287—731no—
987#3282—731no—
988#3280—731no—
989D4×D8—731no—
990#3268—731no—
991#3268—731no—
992#3265—731no—
993#3264—731no—
994#3224D7311yescharacteristic, complemented
995#3220—731no—
996#3203—731no—
997#3198—731no—
998#3188—731no—
999#3186—731no—
1000#3124—731no—
1001#3119—731no—
1002#3012—731no—
1003#3008—731no—
1004#3002—731no—
1005C2×#449—731no—
1006#2977—731no—
1007C73#6163911yescharacteristic, complemented, Sylow
1008C2×H(5,𝔽2)—731no—
1009C22×#41—731no—
1010C2×AGL(1,ℤ/8)—731no—
1011C2×AGL(1,ℤ/8)—731no—
1012C2×#135—731no—
1013C2×#135—731no—
1014C2×#135—731no—
1015C22×SD16—731no—
1016C22×D8—731no—
1017C22×D8—731no—
1018#562—1461no—
1019#560—1461no—
1020#555—731no—
1021#553—731no—
1022#552—731no—
1023#551—1461no—
1024#550—731no—
1025#550—731no—
1026#550—731no—
1027#548—731no—
1028#548—731no—
1029#547—731no—
1030#546—731no—
1031#546—731no—
1032#546—731no—
1033#546—731no—
1034#546—1461no—
1035#546—1461no—
1036#546—1461no—
1037D42—731no—
1038D42—731no—
1039D42—731no—
1040D42—1461no—
1041D42—1461no—
1042#542C2×D7311yescharacteristic, complemented
1043#540—731no—
1044#540—1461no—
1045#538—1461no—
1046#537—731no—
1047#537—731no—
1048#537—1461no—
1049#535—731no—
1050#535—1461no—
1051#535—1461no—
1052#535C2×D7311yescharacteristic, complemented
1053#534—1461no—
1054#525—731no—
1055#525—731no—
1056#525—1461no—
1057C2×#121—731no—
1058C2×#121—731no—
1059C2×#121—1461no—
1060#520—731no—
1061#496—731no—
1062#496C2×D7311yescharacteristic, complemented
1063#495C2×D7311yescharacteristic, complemented
1064#493—731no—
1065#490—731no—
1066#489C2×D7311yescharacteristic, complemented
1067#488—731no—
1068#486C2×D7311yescharacteristic, complemented
1069#485—731no—
1070#484—731no—
1071#484—731no—
1072#482—731no—
1073#482—731no—
1074#482—731no—
1075#481—731no—
1076#480—731no—
1077#480—731no—
1078#480—731no—
1079#480—731no—
1080#480—731no—
1081#479—731no—
1082#478—731no—
1083#477—731no—
1084#474—731no—
1085#469—731no—
1086#468—731no—
1087#468—731no—
1088#468—731no—
1089#467—731no—
1090#466—731no—
1091#466—731no—
1092#466—731no—
1093#466—731no—
1094#466—731no—
1095#466—731no—
1096#466—731no—
1097#466—731no—
1098#465—731no—
1099#465—731no—
1100#465—731no—
1101#464—731no—
1102#464C2×D7311yescharacteristic, complemented
1103#463—731no—
1104#463—731no—
1105#463—731no—
1106#463C2×D7311yescharacteristic, complemented
1107#460—731no—
1108#460C2×D7311yescharacteristic, complemented
1109#459—731no—
1110#459—731no—
1111#459—731no—
1112#459C2×D7311yescharacteristic, complemented
1113#452—731no—
1114#452—731no—
1115#452—731no—
1116#452C2×D7311yescharacteristic, complemented
1117#451—731no—
1118#450—731no—
1119#450—731no—
1120#450—731no—
1121#450C2×D7311yescharacteristic, complemented
1122#449—731no—
1123#449—731no—
1124#449—731no—
1125#449—731no—
1126#449—731no—
1127#449—731no—
1128#449—731no—
1129#449—731no—
1130#449—731no—
1131#449—731no—
1132#449—731no—
1133#449—731no—
1134#449—731no—
1135#449—731no—
1136#449—731no—
1137#449C2×D7311yescharacteristic, complemented
1138#448—731no—
1139#447—731no—
1140#447—731no—
1141#447—731no—
1142#447—731no—
1143#447—731no—
1144#447—731no—
1145#447—731no—
1146#447—731no—
1147#447—731no—
1148#447C2×D7311yescharacteristic, complemented
1149#442—731no—
1150#440—731no—
1151#440—731no—
1152#440—731no—
1153C4×Q16—731no—
1154C4×SD16—731no—
1155C4×D8—731no—
1156C4×D8—731no—
1157#435—731no—
1158#435—731no—
1159#435—731no—
1160#435—731no—
1161C8×D4—731no—
1162C8×D4—731no—
1163C8×D4—731no—
1164C8×D4—731no—
1165#433—731no—
1166#433C2×D7311yescharacteristic, complemented
1167#418—731no—
1168#417—731no—
1169#416—731no—
1170#416—731no—
1171#416—731no—
1172C2×#103—731no—
1173C2×#102—731no—
1174C2×#102—731no—
1175#408—731no—
1176#408—731no—
1177C2×C22⋊C8—731no—
1178C2×C22⋊C8—731no—
1179H(5,𝔽2)—2922no—
1180H(5,𝔽2)—2922no—
1181C2×#41—2922no—
1182C2×#41—2922no—
1183C2×#41—731no—
1184C2×#41—731no—
1185C2×#41—731no—
1186C2×#41—731no—
1187C2×#41—731no—
1188C2×#41—731no—
1189C2×#41—731no—
1190C2×#41—731no—
1191C2×#41—1461no—
1192C2×#41—1461no—
1193C2×#41—1461no—
1194C2×#41—1461no—
1195C2×#41C22×D7311yescharacteristic
1196C22×Q8—731no—
1197C22×D4—731no—
1198C22×D4—731no—
1199C22×D4—731no—
1200C22×D4—731no—
1201C22×D4—731no—
1202C22×D4—1461no—
1203C22×D4—1461no—
1204C22×D4—1461no—
1205C22×D4—1461no—
1206C22×D4—1461no—
1207C22×D4—1461no—
1208C22×D4—1461no—
1209C22×D4—1461no—
1210C22×D4—1461no—
1211C22×D4C22×D7311yescharacteristic
1212C23×C4—731no—
1213C23×C4—1461no—
1214AGL(1,ℤ/8)—2922no—
1215AGL(1,ℤ/8)—2922no—
1216#135—2922no—
1217#135—2922no—
1218#135—2922no—
1219C2×Q16—731no—
1220C2×Q16C22×D7311yescharacteristic
1221C2×SD16—2922no—
1222C2×SD16—731no—
1223C2×SD16—731no—
1224C2×SD16—731no—
1225C2×SD16—731no—
1226C2×SD16—731no—
1227C2×SD16—731no—
1228C2×SD16C22×D7311yescharacteristic
1229C2×SD16C22×D7311yescharacteristic
1230C2×SD16C22×D7311yescharacteristic
1231C2×SD16C22×D7311yescharacteristic
1232C2×D8—2922no—
1233C2×D8—2922no—
1234C2×D8—731no—
1235C2×D8—731no—
1236C2×D8—731no—
1237C2×D8—731no—
1238C2×D8—731no—
1239C2×D8—731no—
1240C2×D8—731no—
1241C2×D8—731no—
1242C2×D8—731no—
1243C2×D8C22×D7311yescharacteristic
1244C2×D8C22×D7311yescharacteristic
1245C2×D8C22×D7311yescharacteristic
1246C2×M16—731no—
1247C2×M16—731no—
1248C22×C8—731no—
1249C22×C8—731no—
1250C22×C8—731no—
1251C22×C8—731no—
1252C22×C8—731no—
1253C22×C8—731no—
1254C4⋊Q8C22×D7311yescharacteristic
1255#127—731no—
1256#127—1461no—
1257#127—1461no—
1258#127—1461no—
1259#127—1461no—
1260#127C22×D7311yescharacteristic
1261#127C22×D7311yescharacteristic
1262#126—21no—
1263#126—1461no—
1264#126—1461no—
1265#125—731no—
1266#125—1461no—
1267#124—21no—
1268#124—1461no—
1269#124—1461no—
1270#124—1461no—
1271#124—1461no—
1272#124—1461no—
1273#124C22×D7311yescharacteristic
1274#124C22×D7311yescharacteristic
1275#124C22×D7311yescharacteristic
1276#123—21no—
1277#123—731no—
1278#123—731no—
1279#123—1461no—
1280#123—1461no—
1281#123—1461no—
1282#123—1461no—
1283#123—1461no—
1284#123—1461no—
1285#123—1461no—
1286#123—1461no—
1287#123—1461no—
1288#123—1461no—
1289#123—1461no—
1290C22⋊Q8—21no—
1291C22⋊Q8—731no—
1292C22⋊Q8—731no—
1293C22⋊Q8—731no—
1294C22⋊Q8—731no—
1295C22⋊Q8—731no—
1296C22⋊Q8—731no—
1297C22⋊Q8—1461no—
1298C22⋊Q8—1461no—
1299C22⋊Q8—1461no—
1300C22⋊Q8—1461no—
1301C22⋊Q8—1461no—
1302C22⋊Q8C22×D7311yescharacteristic
1303#121—21no—
1304#121—21no—
1305#121—731no—
1306#121—731no—
1307#121—731no—
1308#121—731no—
1309#121—731no—
1310#121—731no—
1311#121—731no—
1312#121—731no—
1313#121—731no—
1314#121—731no—
1315#121—731no—
1316#121—731no—
1317#121—731no—
1318#121—731no—
1319#121—731no—
1320#121—731no—
1321#121—1461no—
1322#121—1461no—
1323#121—1461no—
1324#121—1461no—
1325#121—1461no—
1326#121—1461no—
1327#121—1461no—
1328#121—1461no—
1329#121—1461no—
1330#121—1461no—
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#121C22×D7311yescharacteristic
1351#120—21no—
1352#120—21no—
1353#120—731no—
1354#120—731no—
1355#120—1461no—
1356#120—1461no—
1357#120—1461no—
1358#120—1461no—
1359#120—1461no—
1360#120—1461no—
1361#120—1461no—
1362#120—1461no—
1363#120—1461no—
1364#120—1461no—
1365#120—1461no—
1366#120—1461no—
1367#120—1461no—
1368C4×Q8—731no—
1369C4×Q8—731no—
1370C4×Q8C22×D7311yescharacteristic
1371C4×D4—731no—
1372C4×D4—731no—
1373C4×D4—731no—
1374C4×D4—731no—
1375C4×D4—731no—
1376C4×D4—731no—
1377C4×D4—731no—
1378C4×D4—731no—
1379C4×D4—1461no—
1380C4×D4—1461no—
1381C4×D4—1461no—
1382C4×D4—1461no—
1383C4×D4—1461no—
1384C4×D4—1461no—
1385C4×D4—1461no—
1386C4×D4—1461no—
1387C4×D4—1461no—
1388C4×D4—1461no—
1389C4×D4C22×D7311yescharacteristic
1390#117—731no—
1391#117—731no—
1392#117—1461no—
1393#117—1461no—
1394#117—1461no—
1395#117C22×D7311yescharacteristic
1396C2×C4⋊C4—731no—
1397C2×C4⋊C4—731no—
1398C2×C4⋊C4—731no—
1399C2×C4⋊C4—1461no—
1400C2×C22⋊C4—1461no—
1401C2×C22⋊C4—1461no—
1402C2×C22⋊C4—1461no—
1403C2×C22⋊C4—1461no—
1404C2×C22⋊C4—1461no—
1405C2×C22⋊C4—1461no—
1406#107—731no—
1407#107—731no—
1408#107—731no—
1409#107—731no—
1410#107—731no—
1411#107—731no—
1412#106—731no—
1413#106—731no—
1414C4⋊C8—731no—
1415C4⋊C8—731no—
1416C4⋊C8C22×D7311yescharacteristic
1417C4⋊C8C22×D7311yescharacteristic
1418#103—731no—
1419#103—731no—
1420#103—731no—
1421#103—731no—
1422#103—731no—
1423#103—731no—
1424#103—731no—
1425#103—731no—
1426#103C22×D7311yescharacteristic
1427#103C22×D7311yescharacteristic
1428#102—731no—
1429#102—731no—
1430#102—731no—
1431#102—731no—
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#102C22×D7311yescharacteristic
1445#102C22×D7311yescharacteristic
1446#102C22×D7311yescharacteristic
1447#102C22×D7311yescharacteristic
1448#102C22×D7311yescharacteristic
1449#102C22×D7311yescharacteristic
1450C22⋊C8—731no—
1451C22⋊C8—731no—
1452C22⋊C8—731no—
1453C22⋊C8—731no—
1454C22⋊C8—731no—
1455C22⋊C8—731no—
1456C22⋊C8—731no—
1457C22⋊C8—731no—
1458C22⋊C8—731no—
1459C22⋊C8—731no—
1460C22⋊C8C22×D7311yescharacteristic
1461C22⋊C8C22×D7311yescharacteristic
1462#97—731no—
1463#97C22×D7311yescharacteristic
1464C4×C8—731no—
1465C4×C8C22×D7311yescharacteristic
1466C24—21no—
1467C24—731no—
1468C24—1461no—
1469C24—1461no—
1470C24—1461no—
1471C24—1461no—
1472C24—1461no—
1473#41—41no—
1474#41—41no—
1475#41—2921no—
1476#41—2921no—
1477#41—2924no—
1478#41—2924no—
1479#41—2921no—
1480#41—2921no—
1481#41—2921no—
1482#41—2924no—
1483#41—2921no—
1484#41—2921no—
1485#41—2921no—
1486#41—2921no—
1487#41—2921no—
1488#41—5842no—
1489#41—1462no—
1490#41—1462no—
1491#41—1462no—
1492#41—1462no—
1493#41—1462no—
1494#41—1462no—
1495C2×Q8—21no—
1496C2×Q8—2921no—
1497C2×Q8—731no—
1498C2×Q8—731no—
1499C2×Q8—1461no—
1500C2×Q8—1462no—
1501C2×Q8C23×D7311yescharacteristic
1502C2×Q8C23×D7311yescharacteristic
1503C2×D4—21no—
1504C2×D4—21no—
1505C2×D4—21no—
1506C2×D4—21no—
1507C2×D4—21no—
1508C2×D4—21no—
1509C2×D4—21no—
1510C2×D4—41no—
1511C2×D4—41no—
1512C2×D4—2924no—
1513C2×D4—2924no—
1514C2×D4—2924no—
1515C2×D4—2921no—
1516C2×D4—2921no—
1517C2×D4—2921no—
1518C2×D4—2921no—
1519C2×D4—2921no—
1520C2×D4—2921no—
1521C2×D4—2921no—
1522C2×D4—2924no—
1523C2×D4—5842no—
1524C2×D4—5842no—
1525C2×D4—5842no—
1526C2×D4—5842no—
1527C2×D4—5842no—
1528C2×D4—731no—
1529C2×D4—731no—
1530C2×D4—731no—
1531C2×D4—731no—
1532C2×D4—731no—
1533C2×D4—731no—
1534C2×D4—731no—
1535C2×D4—731no—
1536C2×D4—731no—
1537C2×D4—731no—
1538C2×D4—1461no—
1539C2×D4—1461no—
1540C2×D4—1461no—
1541C2×D4—1461no—
1542C2×D4—1461no—
1543C2×D4—1461no—
1544C2×D4—1461no—
1545C2×D4—1461no—
1546C2×D4—1461no—
1547C2×D4—1461no—
1548C2×D4—1461no—
1549C2×D4—1461no—
1550C2×D4—1462no—
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×D4C23×D7311yescharacteristic
1570C2×D4C23×D7311yescharacteristic
1571C2×D4C23×D7311yescharacteristic
1572C2×D4C23×D7311yescharacteristic
1573C22×C4—21no—
1574C22×C4—21no—
1575C22×C4—2921no—
1576C22×C4—2921no—
1577C22×C4—2924no—
1578C22×C4—731no—
1579C22×C4—731no—
1580C22×C4—731no—
1581C22×C4—731no—
1582C22×C4—731no—
1583C22×C4—731no—
1584C22×C4—731no—
1585C22×C4—1461no—
1586C22×C4—1461no—
1587C22×C4—1461no—
1588C22×C4—1461no—
1589C22×C4—1461no—
1590C22×C4—1461no—
1591C22×C4—1461no—
1592C22×C4—1461no—
1593C22×C4—1461no—
1594C22×C4—1461no—
1595C22×C4—1461no—
1596C22×C4—1461no—
1597C22×C4—1461no—
1598C22×C4—1461no—
1599C22×C4—1461no—
1600C22×C4C23×D7311yescharacteristic
1601Q16—41no—
1602Q16—1462no—
1603SD16—41no—
1604SD16—41no—
1605SD16—41no—
1606SD16—41no—
1607SD16—2921no—
1608SD16—2921no—
1609SD16—1462no—
1610SD16—1462no—
1611SD16—1462no—
1612SD16—1462no—
1613D8—41no—
1614D8—41no—
1615D8—41no—
1616D8—2921no—
1617D8—2921no—
1618D8—2921no—
1619D8—2921no—
1620D8—2921no—
1621D8—2921no—
1622D8—1462no—
1623D8—1462no—
1624D8—1462no—
1625M16—2921no—
1626M16—2921no—
1627C2×C8—2921no—
1628C2×C8—2921no—
1629C2×C8—2921no—
1630C2×C8—2921no—
1631C2×C8—2921no—
1632C2×C8—2921no—
1633C2×C8—731no—
1634C2×C8—731no—
1635C2×C8—731no—
1636C2×C8—731no—
1637C2×C8C23×D7311yescharacteristic
1638C2×C8C23×D7311yescharacteristic
1639C2×C8C23×D7311yescharacteristic
1640C2×C8C23×D7311yescharacteristic
1641C4⋊C4—21no—
1642C4⋊C4—21no—
1643C4⋊C4—21no—
1644C4⋊C4—731no—
1645C4⋊C4—731no—
1646C4⋊C4—731no—
1647C4⋊C4—731no—
1648C4⋊C4—731no—
1649C4⋊C4—731no—
1650C4⋊C4—731no—
1651C4⋊C4—731no—
1652C4⋊C4—1461no—
1653C4⋊C4—1461no—
1654C4⋊C4—1461no—
1655C4⋊C4—1461no—
1656C4⋊C4—1461no—
1657C4⋊C4—1461no—
1658C4⋊C4—1461no—
1659C4⋊C4—1461no—
1660C4⋊C4—1461no—
1661C4⋊C4—1461no—
1662C4⋊C4—1461no—
1663C4⋊C4D4×D7311yescharacteristic
1664C4⋊C4D4×D7311yescharacteristic
1665C4⋊C4C23×D7311yescharacteristic
1666C4⋊C4C23×D7311yescharacteristic
1667C22⋊C4—21no—
1668C22⋊C4—21no—
1669C22⋊C4—21no—
1670C22⋊C4—21no—
1671C22⋊C4—21no—
1672C22⋊C4—21no—
1673C22⋊C4—21no—
1674C22⋊C4—21no—
1675C22⋊C4—21no—
1676C22⋊C4—731no—
1677C22⋊C4—731no—
1678C22⋊C4—731no—
1679C22⋊C4—731no—
1680C22⋊C4—731no—
1681C22⋊C4—731no—
1682C22⋊C4—731no—
1683C22⋊C4—731no—
1684C22⋊C4—1461no—
1685C22⋊C4—1461no—
1686C22⋊C4—1461no—
1687C22⋊C4—1461no—
1688C22⋊C4—1461no—
1689C22⋊C4—1461no—
1690C22⋊C4—1461no—
1691C22⋊C4—1461no—
1692C22⋊C4—1461no—
1693C22⋊C4—1461no—
1694C22⋊C4—1461no—
1695C22⋊C4—1461no—
1696C22⋊C4—1461no—
1697C22⋊C4—1461no—
1698C22⋊C4—1461no—
1699C22⋊C4—1461no—
1700C22⋊C4—1461no—
1701C22⋊C4—1461no—
1702C22⋊C4—1461no—
1703C22⋊C4—1461no—
1704C22⋊C4—1461no—
1705C22⋊C4—1461no—
1706C22⋊C4—1461no—
1707C22⋊C4—1461no—
1708C22⋊C4D4×D7311yescharacteristic
1709C22⋊C4D4×D7311yescharacteristic
1710C42—21no—
1711C42—1461no—
1712C42—1461no—
1713C42—1461no—
1714C42—1461no—
1715C42C23×D7311yescharacteristic
1716C42C23×D7311yescharacteristic
1717C23—21no—
1718C23—21no—
1719C23—21no—
1720C23—21no—
1721C23—42no—
1722C23—81no—
1723C23—81no—
1724C23—2921no—
1725C23—2921no—
1726C23—2922no—
1727C23—2922no—
1728C23—2922no—
1729C23—2922no—
1730C23—2922no—
1731C23—5841no—
1732C23—5841no—
1733C23—5841no—
1734C23—5841no—
1735C23—5841no—
1736C23—5841no—
1737C23—5841no—
1738C23—5841no—
1739C23—5841no—
1740C23—5841no—
1741C23—731no—
1742C23—731no—
1743C23—731no—
1744C23—731no—
1745C23—1462no—
1746C23—1461no—
1747C23—1461no—
1748C23—1461no—
1749C23C2×D4×D7311yescharacteristic
1750Q8—21no—
1751Q8—21no—
1752Q8—21no—
1753Q8—21no—
1754Q8—81no—
1755Q8—2921no—
1756Q8—2922no—
1757Q8—732no—
1758Q8—1461no—
1759D4—21no—
1760D4—21no—
1761D4—21no—
1762D4—21no—
1763D4—21no—
1764D4—21no—
1765D4—21no—
1766D4—21no—
1767D4—42no—
1768D4—42no—
1769D4—81no—
1770D4—81no—
1771D4—81no—
1772D4—81no—
1773D4—81no—
1774D4—2921no—
1775D4—2921no—
1776D4—2921no—
1777D4—2922no—
1778D4—2922no—
1779D4—2922no—
1780D4—2922no—
1781D4—2921no—
1782D4—2921no—
1783D4—2922no—
1784D4—2922no—
1785D4—2922no—
1786D4—2922no—
1787D4—2922no—
1788D4—2922no—
1789D4—5841no—
1790D4—5841no—
1791D4—5841no—
1792D4—5841no—
1793D4—5841no—
1794D4—5841no—
1795D4—5841no—
1796D4—5841no—
1797D4—5841no—
1798D4—5841no—
1799D4—5841no—
1800D4—5841no—
1801D4—5841no—
1802D4—5841no—
1803D4—5841no—
1804D4—5841no—
1805D4—5841no—
1806D4—732no—
1807D4—1462no—
1808D4—1462no—
1809D4—1464no—
1810D4—1461no—
1811D4—1461no—
1812D4—1461no—
1813D4—1461no—
1814D4—1461no—
1815C2×C4—21no—
1816C2×C4—21no—
1817C2×C4—21no—
1818C2×C4—21no—
1819C2×C4—21no—
1820C2×C4—21no—
1821C2×C4—42no—
1822C2×C4—81no—
1823C2×C4—2921no—
1824C2×C4—2921no—
1825C2×C4—2922no—
1826C2×C4—2922no—
1827C2×C4—2922no—
1828C2×C4—2921no—
1829C2×C4—2922no—
1830C2×C4—2922no—
1831C2×C4—2922no—
1832C2×C4—5841no—
1833C2×C4—5841no—
1834C2×C4—5841no—
1835C2×C4—5841no—
1836C2×C4—5841no—
1837C2×C4—5841no—
1838C2×C4—5841no—
1839C2×C4—5841no—
1840C2×C4—731no—
1841C2×C4—731no—
1842C2×C4—731no—
1843C2×C4—731no—
1844C2×C4—1464no—
1845C2×C4—1461no—
1846C2×C4—1461no—
1847C2×C4—1461no—
1848C2×C4—1461no—
1849C2×C4—1461no—
1850C2×C4—1461no—
1851C2×C4—1461no—
1852C2×C4—1461no—
1853C2×C4—1461no—
1854C2×C4—1461no—
1855C2×C4—1461no—
1856C2×C4—1461no—
1857C2×C4—1461no—
1858C2×C4C2×D4×D7311yescharacteristic
1859C2×C4C2×D4×D7311yescharacteristic
1860C2×C4C2×D4×D7311yescharacteristic
1861C2×C4C2×D4×D7311yescharacteristic
1862C2×C4C2×D4×D7311yescharacteristic
1863C2×C4C24×D7311yescharacteristic
1864C8—21no—
1865C8—21no—
1866C8—21no—
1867C8—21no—
1868C8—1461no—
1869C8—1461no—
1870C8—1461no—
1871C8—1461no—
1872C22—21no—
1873C22—21no—
1874C22—21no—
1875C22—41no—
1876C22—41no—
1877C22—41no—
1878C22—41no—
1879C22—41no—
1880C22—41no—
1881C22—41no—
1882C22—41no—
1883C22—41no—
1884C22—41no—
1885C22—41no—
1886C22—41no—
1887C22—162no—
1888C22—2921no—
1889C22—2921no—
1890C22—2921no—
1891C22—2921no—
1892C22—2921no—
1893C22—2921no—
1894C22—2921no—
1895C22—2921no—
1896C22—5842no—
1897C22—5844no—
1898C22—732no—
1899C22—11682no—
1900C22—11682no—
1901C22—11682no—
1902C22—11682no—
1903C22—1461no—
1904C22—1462no—
1905C22—1461no—
1906C22—1461no—
1907C22—1461no—
1908C22—1461no—
1909C22—1461no—
1910C22—1461no—
1911C22—1461no—
1912C22—1461no—
1913C22—1461no—
1914C22—1461no—
1915C22C22×D4×D7311yescharacteristic
1916C4—21no—
1917C4—21no—
1918C4—21no—
1919C4—21no—
1920C4—21no—
1921C4—41no—
1922C4—41no—
1923C4—41no—
1924C4—41no—
1925C4—2921no—
1926C4—2921no—
1927C4—2921no—
1928C4—2921no—
1929C4—1461no—
1930C4—1462no—
1931C4—1461no—
1932C4—1461no—
1933C4—1461no—
1934C4H(5,𝔽2)×D7311yescharacteristic
1935C4H(5,𝔽2)×D7311yescharacteristic
1936C2—41no—
1937C2—81no—
1938C2—81no—
1939C2—81no—
1940C2—81no—
1941C2—2922no—
1942C2—2921no—
1943C2—2921no—
1944C2—2921no—
1945C2—5841no—
1946C2—5841no—
1947C2—1462no—
1948C2#2262356511yescharacteristic
1949C2#576×D7311yescharacteristic
1950C2#2262470311yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3224C2
socleC22×C73C23×D4
hypercenter#3224D73
hypocenterC73#61639
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ #117 ◁ #3224

Complements

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

NH ≅ G/Ntype
1. #22624243C2semidirect
2. #22623598C2semidirect
3. #22622086C2semidirect
4. #22621959C2semidirect
5. #22621944C2semidirect
6. #22621921C2semidirect
7. #22621880C2semidirect
8. #22621825C2semidirect
9. #22621788C2semidirect
10. #22621743C2semidirect
11. #22621686C2semidirect
12. #22621637C2semidirect
13. #22621615C2semidirect
14. #22621603C2semidirect
15. #22621470C2semidirect
16. #22621466C2semidirect
17. #22621432C2semidirect
18. #22621410C2semidirect
19. #22620981C2semidirect
20. #22620832C2semidirect
21. #22620782C2semidirect
22. #22620699C2semidirect
23. #22620680C2semidirect
24. #22620187C2semidirect
25. #22620132C2semidirect
26. #22619236C2semidirect
27. #22619194C2semidirect
28. #22619152C2semidirect
29. #449×D73C2semidirect
30. #22618986C2semidirect
31. C73×#3224C2semidirect
32. C2×#14556636C22semidirect
33. C2×#41×D73C22semidirect
34. C2×#14556618C22semidirect
35. C2×#14556615C22semidirect
36. C2×#14556614C22semidirect
37. C2×#14556612C22semidirect
38. C2×#14556612C22semidirect
39. C2×SD16×D73C22semidirect
40. C2×D8×D73C22semidirect
41. C2×D8×D73C22semidirect
44. #17989303C22semidirect
45. #17989287C22semidirect
46. #17989278C22semidirect
48. #17989259C22semidirect
49. #17989257C22semidirect
50. #17989257C22semidirect
52. #17989245C22semidirect
53. #17989240C22semidirect
54. #17989230C22semidirect
55. #17989230C22semidirect
56. #17989230C22semidirect
57. #17989230C22semidirect
61. D4×D292C22semidirect
63. #17989222C22semidirect
66. #17989192C22semidirect
69. #17989167C22semidirect
71. #17989165C22semidirect
74. #17989153C22semidirect
76. #17989100C22semidirect
79. C2×#14556562C22semidirect
81. #121×D73C22semidirect
82. #17989067C22semidirect
83. #17988977C22semidirect
84. #17988963C22semidirect
85. #17988951C22semidirect
86. #17988941C22semidirect
87. #17988926C22semidirect
88. #17988921C22semidirect
89. #17988920C22semidirect
90. #17988910C22semidirect
91. #17988910C22semidirect
92. #17988910C22semidirect
93. #17988906C22semidirect
94. #17988901C22semidirect
95. #17988899C22semidirect
96. #17988899C22semidirect
97. #17988899C22semidirect
98. #17988898C22semidirect
99. #17988895C22semidirect
100. #17988888C22semidirect
101. #17988879C22semidirect
102. #17988864C22semidirect
103. #17988837C22semidirect
104. #17988836C22semidirect
105. #17988836C22semidirect
106. #17988830C22semidirect
107. #17988825C22semidirect
108. #17988822C22semidirect
109. #17988822C22semidirect
110. #17988822C22semidirect
111. #17988822C22semidirect
112. #17988822C22semidirect
113. #17988822C22semidirect
114. #17988820C22semidirect
115. #17988820C22semidirect
116. #17988813C22semidirect
117. #17988813C22semidirect
118. #17988813C22semidirect
119. #17988806C22semidirect
120. #17988799C22semidirect
121. #17988799C22semidirect
122. #17988799C22semidirect
123. #17988788C22semidirect
124. #17988783C22semidirect
125. #17988779C22semidirect
126. #17988779C22semidirect
127. #17988748C22semidirect
128. #17988747C22semidirect
129. #17988746C22semidirect
130. #17988741C22semidirect
131. #17988736C22semidirect
132. #17988736C22semidirect
133. #17988736C22semidirect
134. #17988735C22semidirect
135. #17988734C22semidirect
136. #17988734C22semidirect
137. #17988733C22semidirect
138. #17988733C22semidirect
139. #17988733C22semidirect
140. #17988732C22semidirect
141. #17988732C22semidirect
142. #17988731C22semidirect
143. #17988731C22semidirect
144. #17988731C22semidirect
145. #17988731C22semidirect
147. #17988729C22semidirect
148. #17988729C22semidirect
149. #17988727C22semidirect
150. #17988722C22semidirect
151. #17988722C22semidirect
152. #17988722C22semidirect
153. #17988721C22semidirect
154. #17988721C22semidirect
155. #17988719C22semidirect
156. #17988719C22semidirect
157. #17988719C22semidirect
158. #17988719C22semidirect
159. #17988700C22semidirect
160. #17988689C22semidirect
161. #17988687C22semidirect
162. #17988685C22semidirect
163. C4×#11924018C22semidirect
164. C4×#11924017C22semidirect
165. C4×D584C22semidirect
166. C4×#11924013C22semidirect
167. #17988660C22semidirect
168. #17988660C22semidirect
169. #17988657C22semidirect
170. #17988657C22semidirect
171. C8×D292C22semidirect
172. C8×D292C22semidirect
173. #17988652C22semidirect
174. #17988652C22semidirect
175. #17988648C22semidirect
176. #17988590C22semidirect
177. #17988585C22semidirect
178. #17988582C22semidirect
179. #17988580C22semidirect
180. #17988580C22semidirect
181. #103×D73C22semidirect
182. #102×D73C22semidirect
183. #102×D73C22semidirect
184. #17988552C22semidirect
185. #17988552C22semidirect
186. C22⋊C8×D73C22semidirect
187. C22⋊C8×D73C22semidirect
188. #542×C73C22semidirect
189. #535×C73C22semidirect
190. #496×C73C22semidirect
191. #495×C73C22semidirect
192. #489×C73C22semidirect
193. #486×C73C22semidirect
194. #464×C73C22semidirect
195. #463×C73C22semidirect
196. #460×C73C22semidirect
197. #459×C73C22semidirect
198. #452×C73C22semidirect
199. #450×C73C22semidirect
200. #449×C73C22semidirect
201. #447×C73C22semidirect
202. #433×C73C22semidirect
994. #3224D73semidirect
1007. C73#61639semidirect
1042. #542C2×D73semidirect
1052. #535C2×D73semidirect
1062. #496C2×D73semidirect
1063. #495C2×D73semidirect
1066. #489C2×D73semidirect
1068. #486C2×D73semidirect
1102. #464C2×D73semidirect
1106. #463C2×D73semidirect
1108. #460C2×D73semidirect
1112. #459C2×D73semidirect
1116. #452C2×D73semidirect
1121. #450C2×D73semidirect
1137. #449C2×D73semidirect
1148. #447C2×D73semidirect
1166. #433C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226242432
#226235982
#226220862
#226219592
#226219442
#226219212
#226218802
#226218252
#226217882
#226217432
#226216862
#226216372
#226216152
#226216032
#226214702
#226214662
#226214322
#226214102
#226209812
#226208322
#226207822
#226206992
#226206802
#226201872
#226201322
#226192362
#226191942
#226191522
#449×D732
#226189862
C73×#32242
#6163973