Finite Group Databasebeta

← #33978915

Subgroups — #33978915

Order 18688.

2138 conjugacy classes of subgroups.

The subgroup lattice has 1862 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623880C211yesmaximal, characteristic, complemented
2D4×#11924028C211yesmaximal, characteristic, complemented
3#22622974C211yesmaximal, characteristic, complemented
4#22622952C211yesmaximal, characteristic, complemented
5#22622724C211yesmaximal, characteristic, complemented
6#22622650C211yesmaximal, characteristic, complemented
7#22621927C211yesmaximal, characteristic, complemented
8#22621920C211yesmaximal, characteristic, complemented
9#22621897C211yesmaximal, characteristic, complemented
10#22621890C211yesmaximal, characteristic, complemented
11#22621794C211yesmaximal, characteristic, complemented
12#22621742C211yesmaximal, characteristic, complemented
13#22621625C211yesmaximal, characteristic, complemented
14#22621601C211yesmaximal, characteristic, complemented
15#22621430C211yesmaximal, characteristic, complemented
16#22621428C211yesmaximal, characteristic, complemented
17#22621415C211yesmaximal, characteristic, complemented
18#22621413C211yesmaximal, characteristic, complemented
19#22621292C211yesmaximal, characteristic, complemented
20#22621257C211yesmaximal, characteristic, complemented
21#22621256C211yesmaximal, characteristic, complemented
22#22620920C211yesmaximal, characteristic, complemented
23#22620916C211yesmaximal, characteristic, complemented
24#22620863C211yesmaximal, characteristic, complemented
25#22620074C211yesmaximal, characteristic, complemented
26#22619983C211yesmaximal, characteristic, complemented
27#22619393C211yesmaximal, characteristic, complemented
28C2×#17988802C211yesmaximal, characteristic, complemented
29#463×D73C211yesmaximal, characteristic, complemented
30#22619058C211yesmaximal, characteristic, complemented
31C73×#3114C211yesmaximal, characteristic, complemented
32C22×#11924028—21no—
33C2×#14556618C2211yescharacteristic, complemented
34C2×#14556615C2211yescharacteristic, complemented
35C22×#11924016C2211yescharacteristic, complemented
36C2×SD16×D73C2211yescharacteristic, complemented
37C22×#11924013C2211yescharacteristic
38C2×D8×D73C2211yescharacteristic
39#17989320C2211yescharacteristic, complemented
40#17989309C2211yescharacteristic, complemented
41#17989300—21no—
42#17989261—21no—
43#17989260—21no—
44#17989258C2211yescharacteristic, complemented
45D4×Dic146C2211yescharacteristic, complemented
46#17989250C2211yescharacteristic, complemented
47#17989249C2211yescharacteristic, complemented
48#17989246—21no—
49#17989243C2211yescharacteristic, complemented
50#17989242C2211yescharacteristic, complemented
51#17989238C2211yescharacteristic
52#17989238C2211yescharacteristic, complemented
53#17989233—21no—
54#17989232C2211yescharacteristic, complemented
55#17989229—21no—
56#17989228C2211yescharacteristic, complemented
57#17989227—21no—
58#17989227—21no—
59D4×D292C2211yescharacteristic, complemented
60#17989221C2211yescharacteristic, complemented
61D4×C22⋊D73C2211yescharacteristic
62D4×C22⋊D73C2211yescharacteristic, complemented
63#17989203—21no—
64#17989176—21no—
65#17989170—21no—
66#17989137C2211yescharacteristic, complemented
67#17989136C2211yescharacteristic, complemented
68#17989134C2211yescharacteristic, complemented
69#17989134C2211yescharacteristic, complemented
70#17989122C2211yescharacteristic, complemented
71#17989122C2211yescharacteristic, complemented
72C2×#14556579C2211yescharacteristic, complemented
73#124×D73C2211yescharacteristic, complemented
74#17989098—21no—
75#17989096—21no—
76#17989096—21no—
77#17989059—21no—
78C4×#11924028C2211yescharacteristic
79C4×D4×D73C2211yescharacteristic, complemented
80C4×D4×D73C2211yescharacteristic, complemented
81#17988976C2211yescharacteristic, complemented
82#17988976C2211yescharacteristic, complemented
83#17988975C2211yescharacteristic, complemented
84#17988973C2211yescharacteristic, complemented
85#17988962C2211yescharacteristic, complemented
86#17988958C2211yescharacteristic, complemented
87#17988948C2211yescharacteristic, complemented
88#17988947C2211yescharacteristic, complemented
89#17988947C2211yescharacteristic, complemented
90#17988945C2211yescharacteristic, complemented
91#17988936C2211yescharacteristic, complemented
92#17988932C2211yescharacteristic, complemented
93#17988924C2211yescharacteristic, complemented
94#17988919C2211yescharacteristic, complemented
95#17988907C2211yescharacteristic, complemented
96#17988902C2211yescharacteristic, complemented
97#17988884C2211yescharacteristic, complemented
98#17988884C2211yescharacteristic, complemented
99#17988882C2211yescharacteristic, complemented
100#17988881C2211yescharacteristic, complemented
101#17988877C2211yescharacteristic, complemented
102#17988876C2211yescharacteristic, complemented
103#17988871C2211yescharacteristic, complemented
104#17988866C2211yescharacteristic, complemented
105#17988841C2211yescharacteristic, complemented
106#17988839C2211yescharacteristic, complemented
107#17988834C2211yescharacteristic, complemented
108#17988832C2211yescharacteristic, complemented
109#17988824C2211yescharacteristic, complemented
110#17988822C2211yescharacteristic, complemented
111#17988821C2211yescharacteristic, complemented
112#17988821C2211yescharacteristic, complemented
113#17988818C2211yescharacteristic, complemented
114#17988818C2211yescharacteristic, complemented
115#17988817C2211yescharacteristic, complemented
116#17988815C2211yescharacteristic, complemented
117#17988805C2211yescharacteristic, complemented
118#17988804C2211yescharacteristic
119#17988803C2211yescharacteristic, complemented
120#17988803C2211yescharacteristic, complemented
121#17988803C2211yescharacteristic, complemented
122#17988803C2211yescharacteristic, complemented
123#17988802C2211yescharacteristic
124#17988802C2211yescharacteristic
125#17988802C2211yescharacteristic, complemented
126#17988802C2211yescharacteristic, complemented
127#17988802C2211yescharacteristic, complemented
128#17988802C2211yescharacteristic, complemented
129#17988802C2211yescharacteristic, complemented
130#17988802C2211yescharacteristic, complemented
131#17988801C2211yescharacteristic, complemented
132#17988800C2211yescharacteristic, complemented
133#17988799C2211yescharacteristic, complemented
134#17988799C2211yescharacteristic, complemented
135#17988791C2211yescharacteristic, complemented
136#17988790C2211yescharacteristic, complemented
137#17988787C2211yescharacteristic, complemented
138#17988786C2211yescharacteristic, complemented
139#17988786C2211yescharacteristic, complemented
140#17988782C2211yescharacteristic, complemented
141#17988781C2211yescharacteristic, complemented
142#17988781C2211yescharacteristic, complemented
143#17988781C2211yescharacteristic, complemented
144#17988780C2211yescharacteristic
145#17988739C2211yescharacteristic, complemented
146#17988739C2211yescharacteristic, complemented
147#17988735C2211yescharacteristic, complemented
148#17988733C2211yescharacteristic, complemented
149#17988731C2211yescharacteristic, complemented
150#17988729C2211yescharacteristic, complemented
151#17988728C2211yescharacteristic, complemented
152#17988728C2211yescharacteristic, complemented
153#17988727C2211yescharacteristic, complemented
154#17988724C2211yescharacteristic, complemented
155#17988723C2211yescharacteristic, complemented
156#17988723C2211yescharacteristic, complemented
157#17988722C2211yescharacteristic
158#17988722C2211yescharacteristic
159#17988722C2211yescharacteristic, complemented
160#17988719C2211yescharacteristic, complemented
161#17988715C2211yescharacteristic, complemented
162#17988715C2211yescharacteristic, complemented
163#17988698C2211yescharacteristic, complemented
164#17988696C2211yescharacteristic, complemented
165#17988686C2211yescharacteristic, complemented
166#17988684C2211yescharacteristic, complemented
167#17988678C2211yescharacteristic, complemented
168#17988674C2211yescharacteristic, complemented
169#17988669C2211yescharacteristic, complemented
170#17988667C2211yescharacteristic
171#17988660C2211yescharacteristic, complemented
172#17988660C2211yescharacteristic, complemented
173#17988655C2211yescharacteristic, complemented
174#17988655C2211yescharacteristic, complemented
175#17988650C2211yescharacteristic, complemented
176#17988650C2211yescharacteristic, complemented
177#17988643C2211yescharacteristic, complemented
178#17988639C2211yescharacteristic, complemented
179#17988609C2211yescharacteristic, complemented
180C2×C4⋊#10596831C2211yescharacteristic, complemented
181C4⋊C8×D73C2211yescharacteristic, complemented
182#17988587C2211yescharacteristic, complemented
183#17988585C2211yescharacteristic, complemented
184C2×#14556514C2211yescharacteristic, complemented
185#103×D73C2211yescharacteristic, complemented
186C2×#14556511C2211yescharacteristic, complemented
187#102×D73C2211yescharacteristic, complemented
188#529×C73C2211yescharacteristic, complemented
189C2×C4×D4×C73C2211yescharacteristic, complemented
190#483×C73C2211yescharacteristic, complemented
191#480×C73C2211yescharacteristic, complemented
192#478×C73C2211yescharacteristic, complemented
193#478×C73C2211yescharacteristic, complemented
194#463×C73C2211yescharacteristic, complemented
195#463×C73C2211yescharacteristic, complemented
196#450×C73C2211yescharacteristic, complemented
197#447×C73C2211yescharacteristic
198#442×C73C2211yescharacteristic, complemented
199#442×C73C2211yescharacteristic, complemented
200#440×C73C2211yescharacteristic, complemented
201#440×C73C2211yescharacteristic, complemented
202#432×C73C2211yescharacteristic, complemented
203C2×#11924029C2311yescharacteristic
204C2×#11924028—21no—
205C2×#11924028—21no—
206C2×#11924028—21no—
207C2×#11924028—21no—
208C2×#11924028—21no—
209C2×#11924028—21no—
210C2×#11924028—21no—
211C2×#11924028—48no—
212C2×#11924028D411yescharacteristic
213C2×#11924027C2311yescharacteristic
214C22×Dic146—21no—
215C22×Dic146C2311yescharacteristic
216C2×Q8×D73C2311yescharacteristic
217C22×D292—21no—
218C22×D292C2311yescharacteristic
219C22×C22⋊D73—21no—
220C22×C22⋊D73—21no—
221C2×D4×D73—21no—
222C2×D4×D73C2311yescharacteristic
223C2×D4×D73C2311yescharacteristic
224C2×D4×D73C2311yescharacteristic
225C22×C4×D73—21no—
226C22×C4×D73—21no—
227#14556618—42no—
228#14556615—42no—
229C2×#11924017C2311yescharacteristic
230C2×#11924017C2311yescharacteristic
231C2×#11924017C2311yescharacteristic
232C2×#11924017C2311yescharacteristic
233C2×#11924016—42no—
234C2×#11924016C2311yescharacteristic
235C2×#11924016C2311yescharacteristic
236C2×#11924016C2311yescharacteristic
237C2×#11924016C2311yescharacteristic
238C2×#11924015C2311yescharacteristic
239C2×#11924015C2311yescharacteristic
240SD16×D73—42no—
241C2×D584C2311yescharacteristic
242C2×D584C2311yescharacteristic
243C2×D584C2311yescharacteristic
244C2×D584C2311yescharacteristic
245C2×#11924013—42no—
246C2×#11924013C2311yescharacteristic
247C2×#11924013C2311yescharacteristic
248C2×#11924013C2311yescharacteristic
249C2×#11924013C2311yescharacteristic
250C2×#11924013C2311yescharacteristic
251C2×#11924013C2311yescharacteristic
252D8×D73—42no—
253C2×#11924011C2311yescharacteristic
254C2×#11924011C2311yescharacteristic
255C22×#10596831C2311yescharacteristic
256C22×#10596831C2311yescharacteristic
257C2×C8×D73C2311yescharacteristic
258C2×C8×D73C2311yescharacteristic
259#14556591C2311yescharacteristic
260#14556590—21no—
261#14556590C2311yescharacteristic
262#14556590C2311yescharacteristic
263#14556589C2311yescharacteristic
264#14556588C2311yescharacteristic
265#14556587C2311yescharacteristic
266#14556587C2311yescharacteristic
267#14556587C2311yescharacteristic
268#14556586—21no—
269#14556586—21no—
270#14556586—21no—
271#14556585—21no—
272#14556580C2311yescharacteristic
273#14556579—21no—
274#14556579—21no—
275#14556579—21no—
276#14556579—21no—
277#14556579C2311yescharacteristic
278#14556579C2311yescharacteristic
279#14556579C2311yescharacteristic
280#14556579C2311yescharacteristic
281#14556578C2311yescharacteristic
282#14556577—21no—
283#14556577—21no—
284#14556577—21no—
285#14556577—21no—
286#14556577—21no—
287#14556577—21no—
288#14556576—21no—
289#14556576—21no—
290#14556576—21no—
291#14556576—21no—
292#14556576—21no—
293#14556575—21no—
294#14556574—21no—
295#14556574—21no—
296#14556574—21no—
297#14556573—21no—
298#14556573—21no—
299#14556573—21no—
300#14556571—21no—
301#14556571C2311yescharacteristic
302#14556571C2311yescharacteristic
303#14556570—21no—
304#14556570—21no—
305#14556569—21no—
306#14556569—21no—
307#14556569—21no—
308#14556569—21no—
309#14556568—21no—
310#14556568—21no—
311#14556568—21no—
312#14556568—21no—
313#14556566—21no—
314#14556566—21no—
315#14556566C2311yescharacteristic
316#14556566C2311yescharacteristic
317#14556566C2311yescharacteristic
318#14556566C2311yescharacteristic
319#14556565—21no—
320#14556565—21no—
321#14556565—21no—
322#14556565—21no—
323#14556565C2311yescharacteristic
324#14556565C2311yescharacteristic
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#14556562C2311yescharacteristic
336#14556562C2311yescharacteristic
337#14556561—21no—
338#14556561—21no—
339#14556561—21no—
340#14556561—21no—
341#14556561—21no—
342#14556560—21no—
343#14556560—21no—
344#14556559—21no—
345#14556559—21no—
346#14556559—21no—
347C4×Dic146D411yescharacteristic
348C4×Dic146C2311yescharacteristic
349#14556556C2311yescharacteristic
350#14556556C2311yescharacteristic
351C4×D292—21no—
352C4×D292—21no—
353C4×D292D411yescharacteristic
354C4×D292C2311yescharacteristic
355C4×D292C2311yescharacteristic
356C4×D292C2311yescharacteristic
357D4×Dic73—21no—
358D4×Dic73C2311yescharacteristic
359D4×Dic73C2311yescharacteristic
360#14556553—21no—
361#14556553—21no—
362#14556553C2311yescharacteristic
363#14556553C2311yescharacteristic
364#14556553C2311yescharacteristic
365#14556553C2311yescharacteristic
366C4×C22⋊D73—21no—
367C4×C22⋊D73—21no—
368C4×C22⋊D73—21no—
369C4×C22⋊D73—21no—
370C4×C22⋊D73—21no—
371C4×C22⋊D73D411yescharacteristic
372C4×C22⋊D73D411yescharacteristic
373C4×C22⋊D73C2311yescharacteristic
374C4×C22⋊D73C2311yescharacteristic
375#14556551—21no—
376#14556551—21no—
377#14556551—21no—
378#14556551—21no—
379#14556551—21no—
380#14556550D411yescharacteristic
381#14556549—21no—
382#14556549—21no—
383#14556548—21no—
384#14556548D411yescharacteristic
385#14556548D411yescharacteristic
386C4⋊C4×D73C2311yescharacteristic
387C4⋊C4×D73C2311yescharacteristic
388C2×#11924005—21no—
389C2×#11924005—21no—
390C2×#11924005—21no—
391C22⋊C4×D73—21no—
392C22⋊C4×D73—21no—
393C22⋊C4×D73—21no—
394C22⋊C4×D73—21no—
395C22⋊C4×D73—21no—
396C42×D73C2311yescharacteristic
397C42×D73C2311yescharacteristic
398#14556524C2311yescharacteristic
399#14556524C2311yescharacteristic
400#14556522C2311yescharacteristic
401#14556522C2311yescharacteristic
402C4⋊#10596831C2311yescharacteristic
403C4⋊#10596831C2311yescharacteristic
404C4⋊#10596831C2311yescharacteristic
405C4⋊#10596831C2311yescharacteristic
406#14556520C2311yescharacteristic
407#14556520C2311yescharacteristic
408#14556520C2311yescharacteristic
409#14556520C2311yescharacteristic
410#14556516C2311yescharacteristic
411#14556516C2311yescharacteristic
412#14556516C2311yescharacteristic
413#14556516C2311yescharacteristic
414#14556515C2311yescharacteristic
415#14556515C2311yescharacteristic
416#14556514C2311yescharacteristic
417#14556514C2311yescharacteristic
418#14556514C2311yescharacteristic
419#14556514C2311yescharacteristic
420#14556513C2311yescharacteristic
421#14556513C2311yescharacteristic
422#14556513C2311yescharacteristic
423#14556513C2311yescharacteristic
424#14556512C2311yescharacteristic
425#14556512C2311yescharacteristic
426#14556511C2311yescharacteristic
427#14556511C2311yescharacteristic
428#14556511C2311yescharacteristic
429#14556511C2311yescharacteristic
430#14556511C2311yescharacteristic
431#14556511C2311yescharacteristic
432#14556511C2311yescharacteristic
433#14556511C2311yescharacteristic
434#14556503C2311yescharacteristic
435#14556503C2311yescharacteristic
436#14556503C2311yescharacteristic
437#14556503C2311yescharacteristic
438#14556501C2311yescharacteristic
439#14556501C2311yescharacteristic
440C8×Dic73C2311yescharacteristic
441C8×Dic73C2311yescharacteristic
442C22×D4×C73C2311yescharacteristic
443C23×C4×C73—21no—
444C2×SD16×C73C2311yescharacteristic
445C2×SD16×C73C2311yescharacteristic
446C2×D8×C73C2311yescharacteristic
447C2×D8×C73C2311yescharacteristic
448#126×C73—21no—
449#125×C73C2311yescharacteristic
450#124×C73C2311yescharacteristic
451#123×C73—21no—
452C22⋊Q8×C73C2311yescharacteristic
453#121×C73C2311yescharacteristic
454C4×Q8×C73C2311yescharacteristic
455C4×D4×C73—21no—
456C4×D4×C73—21no—
457C4×D4×C73—21no—
458C4×D4×C73C2311yescharacteristic
459C4×D4×C73C2311yescharacteristic
460C4×D4×C73C2311yescharacteristic
461C4×D4×C73C2311yescharacteristic
462C4×D4×C73C2311yescharacteristic
463#117×C73—21no—
464C2×C4⋊C4×C73C2311yescharacteristic
465C2×C22⋊C4×C73—21no—
466C2×C42×C73C2311yescharacteristic
467#107×C73C2311yescharacteristic
468#107×C73C2311yescharacteristic
469#106×C73C2311yescharacteristic
470#106×C73C2311yescharacteristic
471C4⋊C8×C73C2311yescharacteristic
472C4⋊C8×C73C2311yescharacteristic
473#103×C73C2311yescharacteristic
474#103×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478#102×C73C2311yescharacteristic
479#102×C73C2311yescharacteristic
480#102×C73C2311yescharacteristic
481C22⋊C8×C73C2311yescharacteristic
482C22⋊C8×C73C2311yescharacteristic
483#97×C73C2311yescharacteristic
484#97×C73C2311yescharacteristic
485C23×D73—21no—
486C23×D73—21no—
487C23×D73—21no—
488C23×D73—21no—
489#11924029—41no—
490#11924029—41no—
491#11924028—24no—
492#11924028—44no—
493#11924028—44no—
494#11924028—44no—
495#11924028—44no—
496#11924028—44no—
497#11924028—44no—
498#11924028—44no—
499#11924027—41no—
500#11924027—41no—
501C2×Dic146—21no—
502C2×Dic146—21no—
503C2×Dic146—21no—
504C2×Dic146—21no—
505C2×Dic146—21no—
506C2×Dic146—41no—
507C2×Dic146—41no—
508C2×Dic146—44no—
509C2×Dic146C2×D411yescharacteristic
510C2×Dic146C2411yescharacteristic
511C2×Dic146C2411yescharacteristic
512Q8×D73—41no—
513Q8×D73—41no—
514C2×D292—21no—
515C2×D292—21no—
516C2×D292—21no—
517C2×D292—21no—
518C2×D292—21no—
519C2×D292—21no—
520C2×D292—21no—
521C2×D292—21no—
522C2×D292—41no—
523C2×D292—41no—
524C2×D292—44no—
525C2×D292C2×D411yescharacteristic
526C2×D292C2411yescharacteristic
527C2×D292C2411yescharacteristic
528C2×D292C2411yescharacteristic
529C2×D292C2411yescharacteristic
530C2×C22⋊D73—21no—
531C2×C22⋊D73—21no—
532C2×C22⋊D73—21no—
533C2×C22⋊D73—21no—
534C2×C22⋊D73—21no—
535C2×C22⋊D73—21no—
536C2×C22⋊D73—21no—
537C2×C22⋊D73—21no—
538C2×C22⋊D73—21no—
539C2×C22⋊D73—21no—
540C2×C22⋊D73—21no—
541C2×C22⋊D73—21no—
542C2×C22⋊D73—21no—
543C2×C22⋊D73—21no—
544C2×C22⋊D73—44no—
545C2×C22⋊D73—44no—
546C2×C22⋊D73C2×D411yescharacteristic
547C2×C22⋊D73C2×D411yescharacteristic
548D4×D73—22no—
549D4×D73—22no—
550D4×D73—41no—
551D4×D73—41no—
552D4×D73—41no—
553D4×D73—41no—
554D4×D73—44no—
555C22×Dic73—21no—
556C22×Dic73—21no—
557C22×Dic73—21no—
558C22×Dic73—21no—
559C2×C4×D73—21no—
560C2×C4×D73—21no—
561C2×C4×D73—21no—
562C2×C4×D73—21no—
563C2×C4×D73—21no—
564C2×C4×D73—21no—
565C2×C4×D73—21no—
566C2×C4×D73—21no—
567C2×C4×D73—21no—
568C2×C4×D73—21no—
569C2×C4×D73—44no—
570C2×C4×D73—44no—
571C2×C4×D73C2×D411yescharacteristic
572C2×C4×D73C2×D411yescharacteristic
573C2×C4×D73C2×D411yescharacteristic
574C2×C4×D73C2×D411yescharacteristic
575C2×C4×D73C2411yescharacteristic
576C2×C4×D73C2411yescharacteristic
577#11924017—41no—
578#11924017—41no—
579#11924017—41no—
580#11924017—41no—
581#11924016—22no—
582#11924016—22no—
583#11924016—41no—
584#11924016—41no—
585#11924015—41no—
586#11924015—41no—
587D584—41no—
588D584—41no—
589D584—41no—
590D584—41no—
591#11924013—22no—
592#11924013—22no—
593#11924013—41no—
594#11924013—41no—
595#11924013—41no—
596#11924013—41no—
597#11924011—41no—
598#11924011—41no—
599C2×#10596831—41no—
600C2×#10596831—41no—
601C2×#10596831C2411yescharacteristic
602C2×#10596831C2411yescharacteristic
603C2×#10596831C2411yescharacteristic
604C2×#10596831C2411yescharacteristic
605C8×D73—41no—
606C8×D73—41no—
607C4⋊Dic73—21no—
608C4⋊Dic73—21no—
609C4⋊Dic73—21no—
610C4⋊Dic73C2×D411yescharacteristic
611C4⋊Dic73C2×D411yescharacteristic
612C4⋊Dic73C2411yescharacteristic
613C4⋊Dic73C2411yescharacteristic
614#11924007—21no—
615#11924007—21no—
616#11924007—21no—
617#11924007—21no—
618#11924007—21no—
619#11924007—21no—
620#11924007—21no—
621#11924007—21no—
622#11924007C2×D411yescharacteristic
623#11924007C2×D411yescharacteristic
624#11924007C2×D411yescharacteristic
625#11924007C2×D411yescharacteristic
626C22⋊Dic73—21no—
627C22⋊Dic73—21no—
628C22⋊Dic73—21no—
629C22⋊Dic73—21no—
630C22⋊Dic73—21no—
631C22⋊Dic73—21no—
632C22⋊Dic73C2×D411yescharacteristic
633C22⋊Dic73C2×D411yescharacteristic
634#11924005—21no—
635#11924005—21no—
636#11924005—21no—
637#11924005—21no—
638#11924005—21no—
639#11924005—21no—
640#11924005—21no—
641#11924005—21no—
642#11924005—21no—
643#11924005—21no—
644#11924005—21no—
645#11924005—21no—
646#11924005—21no—
647#11924005—21no—
648#11924005—21no—
649#11924005—21no—
650#11924005—21no—
651#11924005—21no—
652#11924005—21no—
653#11924005—21no—
654#11924005—21no—
655#11924005—21no—
656#11924005—21no—
657#11924005—21no—
658#11924005C2×D411yescharacteristic
659#11924005C2×D411yescharacteristic
660#11924005C2×D411yescharacteristic
661#11924005C2×D411yescharacteristic
662C4×Dic73—21no—
663C4×Dic73—21no—
664C4×Dic73C2×D411yescharacteristic
665C4×Dic73C2×D411yescharacteristic
666C4×Dic73C2×D411yescharacteristic
667C4×Dic73C2×D411yescharacteristic
668C4×Dic73C2411yescharacteristic
669C4×Dic73C2411yescharacteristic
670C24×C73—21no—
671C2×Q8×C73C2411yescharacteristic
672C2×D4×C73—22no—
673C2×D4×C73—21no—
674C2×D4×C73—21no—
675C2×D4×C73—41no—
676C2×D4×C73C2411yescharacteristic
677C2×D4×C73C2411yescharacteristic
678C2×D4×C73C2411yescharacteristic
679C22×C4×C73—21no—
680C22×C4×C73—21no—
681C22×C4×C73—21no—
682C22×C4×C73—21no—
683C22×C4×C73—21no—
684C22×C4×C73—21no—
685C22×C4×C73—44no—
686C22×C4×C73C2×D411yescharacteristic
687C22×C4×C73C2×D411yescharacteristic
688C22×C4×C73C2411yescharacteristic
689SD16×C73—22no—
690SD16×C73—41no—
691D8×C73—22no—
692D8×C73—41no—
693C2×C8×C73C2411yescharacteristic
694C2×C8×C73C2411yescharacteristic
695C2×C8×C73C2411yescharacteristic
696C2×C8×C73C2411yescharacteristic
697C4⋊C4×C73—21no—
698C4⋊C4×C73—21no—
699C4⋊C4×C73—21no—
700C4⋊C4×C73—21no—
701C4⋊C4×C73—21no—
702C4⋊C4×C73C2411yescharacteristic
703C4⋊C4×C73C2411yescharacteristic
704C4⋊C4×C73C2411yescharacteristic
705C4⋊C4×C73C2411yescharacteristic
706C22⋊C4×C73—21no—
707C22⋊C4×C73—21no—
708C22⋊C4×C73—21no—
709C22⋊C4×C73—21no—
710C22⋊C4×C73—21no—
711C22⋊C4×C73—21no—
712C22⋊C4×C73—21no—
713C22⋊C4×C73—21no—
714C22⋊C4×C73—21no—
715C42×C73—21no—
716C42×C73C2×D411yescharacteristic
717C42×C73C2×D411yescharacteristic
718C42×C73C2411yescharacteristic
719C42×C73C2411yescharacteristic
720C23×C73—21no—
721C23×C73—21no—
722C23×C73—21no—
723C23×C73—42no—
724C23×C73—42no—
725C23×C73—81no—
726C23×C73C22×D411yescharacteristic
727C22×D73—21no—
728C22×D73—21no—
729C22×D73—21no—
730C22×D73—21no—
731C22×D73—42no—
732C22×D73—42no—
733C22×D73—42no—
734C22×D73—42no—
735C22×D73—42no—
736C22×D73—42no—
737C22×D73—81no—
738C22×D73—81no—
739C22×D73—81no—
740C22×D73—81no—
741C22×D73—81no—
742C22×D73—81no—
743C22×D73C22×D411yescharacteristic
744C22×D73C22×D411yescharacteristic
745Q8×C73—21no—
746Q8×C73—21no—
747D4×C73—21no—
748D4×C73—21no—
749D4×C73—21no—
750D4×C73—21no—
751D4×C73—21no—
752D4×C73—42no—
753D4×C73—42no—
754D4×C73H(5,𝔽2)12yes—
755C2×C4×C73—22no—
756C2×C4×C73—21no—
757C2×C4×C73—21no—
758C2×C4×C73—21no—
759C2×C4×C73—21no—
760C2×C4×C73—21no—
761C2×C4×C73—21no—
762C2×C4×C73—21no—
763C2×C4×C73—41no—
764C2×C4×C73—42no—
765C2×C4×C73—42no—
766C2×C4×C73—42no—
767C2×C4×C73—42no—
768C2×C4×C73—42no—
769C2×C4×C73—81no—
770C2×C4×C73C22×D411yescharacteristic
771C2×C4×C73C22×D411yescharacteristic
772C2×C4×C73C22×D411yescharacteristic
773C2×C4×C73C22×D411yescharacteristic
774C2×C4×C73C22×D411yescharacteristic
775C2×C4×C73C2511yescharacteristic
776C22⋊D73—22no—
777C22⋊D73—42no—
778C22⋊D73—42no—
779C22⋊D73—42no—
780C22⋊D73—42no—
781C22⋊D73—42no—
782C22⋊D73—42no—
783C22⋊D73—42no—
784C22⋊D73—42no—
785C22⋊D73—42no—
786C22⋊D73—81no—
787C22⋊D73—81no—
788C22⋊D73—81no—
789C22⋊D73—81no—
790C22⋊D73—81no—
791C22⋊D73AGL(1,ℤ/8)14yescomplemented
792C2×Dic73—21no—
793C2×Dic73—21no—
794C2×Dic73—21no—
795C2×Dic73—21no—
796C2×Dic73—42no—
797C2×Dic73—42no—
798C2×Dic73—81no—
799C2×Dic73—81no—
800C2×Dic73C22×D411yescharacteristic
801C2×Dic73C22×D411yescharacteristic
802C2×Dic73C22×D411yescharacteristic
803C2×Dic73C22×D411yescharacteristic
804C2×Dic73C22×D411yescharacteristic
805C2×Dic73C22×D411yescharacteristic
806D292—22no—
807D292—21no—
808D292—21no—
809D292—21no—
810D292—21no—
811D292—21no—
812D292—21no—
813D292—21no—
814D292—21no—
815D292—42no—
816D292—42no—
817D292—42no—
818D292—42no—
819D292—81no—
820D292—81no—
821D292—81no—
822D292—81no—
823C4×D73—22no—
824C4×D73—21no—
825C4×D73—21no—
826C4×D73—21no—
827C4×D73—21no—
828C4×D73—22no—
829C4×D73—41no—
830C4×D73—41no—
831C4×D73—42no—
832C4×D73—42no—
833C4×D73—42no—
834C4×D73—42no—
835C4×D73—42no—
836C4×D73—42no—
837C4×D73—42no—
838C4×D73—81no—
839C4×D73—81no—
840C4×D73—81no—
841Dic146—22no—
842Dic146—21no—
843Dic146—21no—
844Dic146—21no—
845Dic146—21no—
846Dic146—42no—
847Dic146—42no—
848Dic146—42no—
849Dic146—81no—
850Dic146—81no—
851C8×C73—21no—
852C8×C73—21no—
853C8×C73—21no—
854C8×C73—21no—
855#10596831—21no—
856#10596831—21no—
857#10596831—21no—
858#10596831—21no—
859C22×C73—21no—
860C22×C73—21no—
861C22×C73—22no—
862C22×C73—41no—
863C22×C73—41no—
864C22×C73—41no—
865C22×C73—41no—
866C22×C73—41no—
867C22×C73—41no—
868C22×C73—41no—
869C22×C73—41no—
870C22×C73—84no—
871C22×C73C2×AGL(1,ℤ/8)12yes—
872C22×C73C23×D411yescharacteristic
873C2×D73—21no—
874C2×D73—21no—
875C2×D73—21no—
876C2×D73—21no—
877C2×D73—21no—
878C2×D73—41no—
879C2×D73—41no—
880C2×D73—41no—
881C2×D73—41no—
882C2×D73—41no—
883C2×D73—41no—
884C2×D73—41no—
885C2×D73—41no—
886C2×D73—41no—
887C2×D73—41no—
888C2×D73—41no—
889C2×D73—41no—
890C2×D73—84no—
891C2×D73—84no—
892C2×D73—162no—
893C2×D73—162no—
894C2×D73C2×AGL(1,ℤ/8)12yes—
895C4×C73—21no—
896C4×C73—21no—
897C4×C73—21no—
898C4×C73—21no—
899C4×C73—21no—
900C4×C73—41no—
901C4×C73—41no—
902C4×C73—41no—
903C4×C73—41no—
904C4×C73—41no—
905C4×C73C2×H(5,𝔽2)11yescharacteristic
906C4×C73#58511yescharacteristic
907Dic73—21no—
908Dic73—21no—
909Dic73—21no—
910Dic73—21no—
911Dic73—21no—
912Dic73—41no—
913Dic73—41no—
914Dic73—41no—
915Dic73—41no—
916Dic73C2×AGL(1,ℤ/8)12yes—
917#61989—731nomaximal, Sylow
918C2×C73—22no—
919C2×C73—42no—
920C2×C73—81no—
921C2×C73—81no—
922C2×C73#348811yescharacteristic
923C2×C73C22×AGL(1,ℤ/8)11yescharacteristic
924C2×C73#358411yescharacteristic
925D73—22no—
926D73—41no—
927D73—81no—
928D73—81no—
929D73—81no—
930D73—81no—
931#3514—731no—
932D4×#41—731no—
933#3399—731no—
934#3397—731no—
935#3373—731no—
936#3367—731no—
937#3308—731no—
938#3308—731no—
939#3306—731no—
940#3306—731no—
941#3298—731no—
942#3294—731no—
943D4×SD16—731no—
944D4×D8—731no—
945#3265—731no—
946#3265—731no—
947#3264—731no—
948#3264—731no—
949#3251—731no—
950#3247—731no—
951#3247—731no—
952#3213—731no—
953#3213—731no—
954#3207—731no—
955#3114—731no—
956#3114D7311yescharacteristic, complemented
957#3105—731no—
958#3036—731no—
959C2×#463—731no—
960C2×#463—731no—
961#2990—731no—
962C73#6198911yescharacteristic, complemented, Sylow
963C22×#41—1461no—
964C2×AGL(1,ℤ/8)—731no—
965C2×AGL(1,ℤ/8)—731no—
966C22×SD16—731no—
967C22×SD16—731no—
968C22×D8—731no—
969C22×D8—731no—
970#559—731no—
971#556—731no—
972#555—1461no—
973#551—1461no—
974#551—1461no—
975#550—731no—
976D4×Q8—731no—
977D4×Q8—731no—
978#548—731no—
979#548—731no—
980#548—1461no—
981#547—731no—
982#547—731no—
983#547—731no—
984#546—731no—
985#546—731no—
986#546—1461no—
987#546—1461no—
988#546—1461no—
989#546—1461no—
990D42—731no—
991D42—731no—
992D42—731no—
993D42—731no—
994#542—1461no—
995#538—1461no—
996#538—1461no—
997#532—731no—
998#532—731no—
999#532—731no—
1000#532—731no—
1001#529—731no—
1002#529—731no—
1003#529C2×D7311yescharacteristic, complemented
1004C2×#124—731no—
1005C2×#124—731no—
1006#525—1461no—
1007#525—1461no—
1008#525—1461no—
1009#518—1461no—
1010C4×#41—731no—
1011C2×C4×D4—731no—
1012C2×C4×D4—731no—
1013C2×C4×D4C2×D7311yescharacteristic, complemented
1014#496—731no—
1015#496—731no—
1016#496—731no—
1017#496—731no—
1018#493—731no—
1019#492—731no—
1020#489—731no—
1021#489—731no—
1022#489—731no—
1023#489—731no—
1024#487—731no—
1025#486—731no—
1026#484—731no—
1027#483—731no—
1028#483C2×D7311yescharacteristic, complemented
1029#481—731no—
1030#480—731no—
1031#480C2×D7311yescharacteristic, complemented
1032#478—731no—
1033#478—731no—
1034#478C2×D7311yescharacteristic, complemented
1035#478C2×D7311yescharacteristic, complemented
1036#477—731no—
1037#477—731no—
1038#476—731no—
1039#476—731no—
1040#475—731no—
1041#474—731no—
1042#469—731no—
1043#469—731no—
1044#468—731no—
1045#468—731no—
1046#466—731no—
1047#466—731no—
1048#466—731no—
1049#466—731no—
1050#465—731no—
1051#465—731no—
1052#465—731no—
1053#465—731no—
1054#463—731no—
1055#463—731no—
1056#463—731no—
1057#463—731no—
1058#463—731no—
1059#463—731no—
1060#463—731no—
1061#463—731no—
1062#463—731no—
1063#463—731no—
1064#463—731no—
1065#463—731no—
1066#463—731no—
1067#463—731no—
1068#463—731no—
1069#463—731no—
1070#463—731no—
1071#463—731no—
1072#463C2×D7311yescharacteristic, complemented
1073#463C2×D7311yescharacteristic, complemented
1074#461—731no—
1075#461—731no—
1076#460—731no—
1077#460—731no—
1078#460—731no—
1079#459—731no—
1080#459—731no—
1081#459—731no—
1082#459—731no—
1083#459—731no—
1084#450—731no—
1085#450—731no—
1086#450C2×D7311yescharacteristic, complemented
1087#449—731no—
1088#449—731no—
1089#449—731no—
1090#449—731no—
1091#448—731no—
1092#448—731no—
1093#448—731no—
1094#448—731no—
1095#447—731no—
1096#447—731no—
1097#447—731no—
1098#447—731no—
1099#447—731no—
1100#447—731no—
1101#447C2×D7311yescharacteristic
1102#446—731no—
1103#446—731no—
1104#442—731no—
1105#442—731no—
1106#442C2×D7311yescharacteristic, complemented
1107#442C2×D7311yescharacteristic, complemented
1108#440—731no—
1109#440—731no—
1110#440C2×D7311yescharacteristic, complemented
1111#440C2×D7311yescharacteristic, complemented
1112C4×SD16—731no—
1113C4×SD16—731no—
1114C4×D8—731no—
1115C4×D8—731no—
1116#435—731no—
1117#435—731no—
1118#435—731no—
1119#435—731no—
1120C8×D4—731no—
1121C8×D4—731no—
1122#432—731no—
1123#432C2×D7311yescharacteristic, complemented
1124#431—731no—
1125#423—731no—
1126C2×C4⋊C8—731no—
1127C2×C4⋊C8—731no—
1128#417—731no—
1129#417—731no—
1130C2×#103—731no—
1131C2×#103—731no—
1132C2×#102—731no—
1133C2×#102—731no—
1134C2×#41—2928no—
1135C2×#41—731no—
1136C2×#41—731no—
1137C2×#41—731no—
1138C2×#41—1461no—
1139C2×#41—1461no—
1140C2×#41—1461no—
1141C2×#41—1461no—
1142C2×#41—1461no—
1143C2×#41—1461no—
1144C2×#41—1461no—
1145C22×Q8—731no—
1146C22×Q8—731no—
1147C22×Q8—1461no—
1148C22×D4—731no—
1149C22×D4—731no—
1150C22×D4—731no—
1151C22×D4—731no—
1152C22×D4—1461no—
1153C22×D4—1461no—
1154C22×D4—1461no—
1155C22×D4—1461no—
1156C22×D4C22×D7311yescharacteristic
1157C23×C4—21no—
1158C23×C4—1461no—
1159C23×C4—1461no—
1160AGL(1,ℤ/8)—2922no—
1161AGL(1,ℤ/8)—2922no—
1162C2×SD16—2922no—
1163C2×SD16—2922no—
1164C2×SD16—731no—
1165C2×SD16—731no—
1166C2×SD16—731no—
1167C2×SD16—731no—
1168C2×SD16—731no—
1169C2×SD16—731no—
1170C2×SD16—731no—
1171C2×SD16—731no—
1172C2×SD16—731no—
1173C2×SD16—731no—
1174C2×SD16C22×D7311yescharacteristic
1175C2×SD16C22×D7311yescharacteristic
1176C2×D8—2922no—
1177C2×D8—2922no—
1178C2×D8—731no—
1179C2×D8—731no—
1180C2×D8—731no—
1181C2×D8—731no—
1182C2×D8—731no—
1183C2×D8—731no—
1184C2×D8—731no—
1185C2×D8—731no—
1186C2×D8—731no—
1187C2×D8—731no—
1188C2×D8C22×D7311yescharacteristic
1189C2×D8C22×D7311yescharacteristic
1190C2×M16—731no—
1191C2×M16—731no—
1192C22×C8—731no—
1193C22×C8—731no—
1194C22×C8—731no—
1195C22×C8—731no—
1196C4⋊Q8—731no—
1197C4⋊Q8—731no—
1198C4⋊Q8—731no—
1199C4⋊Q8—731no—
1200C4⋊Q8—1461no—
1201#127—731no—
1202#127—731no—
1203#127—731no—
1204#127—731no—
1205#126—21no—
1206#126—1461no—
1207#126—1461no—
1208#126—1461no—
1209#126—1461no—
1210#125C22×D7311yescharacteristic
1211#124—731no—
1212#124—731no—
1213#124—731no—
1214#124—731no—
1215#124—731no—
1216#124—731no—
1217#124—1461no—
1218#124—1461no—
1219#124—1461no—
1220#124—1461no—
1221#124—1461no—
1222#124—1461no—
1223#124—1461no—
1224#124—1461no—
1225#124—1461no—
1226#124—1461no—
1227#124C22×D7311yescharacteristic
1228#123—21no—
1229#123—1461no—
1230#123—1461no—
1231#123—1461no—
1232#123—1461no—
1233#123—1461no—
1234#123—1461no—
1235#123—1461no—
1236#123—1461no—
1237#123—1461no—
1238#123—1461no—
1239#123—1461no—
1240#123—1461no—
1241C22⋊Q8—731no—
1242C22⋊Q8—731no—
1243C22⋊Q8—1461no—
1244C22⋊Q8—1461no—
1245C22⋊Q8—1461no—
1246C22⋊Q8—1461no—
1247C22⋊Q8—1461no—
1248C22⋊Q8—1461no—
1249C22⋊Q8—1461no—
1250C22⋊Q8—1461no—
1251C22⋊Q8—1461no—
1252C22⋊Q8—1461no—
1253C22⋊Q8—1461no—
1254C22⋊Q8C22×D7311yescharacteristic
1255#121—731no—
1256#121—731no—
1257#121—731no—
1258#121—731no—
1259#121—731no—
1260#121—731no—
1261#121—731no—
1262#121—731no—
1263#121—1461no—
1264#121—1461no—
1265#121—1461no—
1266#121—1461no—
1267#121—1461no—
1268#121—1461no—
1269#121—1461no—
1270#121—1461no—
1271#121—1461no—
1272#121—1461no—
1273#121—1461no—
1274#121—1461no—
1275#121—1461no—
1276#121—1461no—
1277#121—1461no—
1278#121—1461no—
1279#121C22×D7311yescharacteristic
1280#120—1461no—
1281#120—1461no—
1282#120—1461no—
1283#120—1461no—
1284#120—1461no—
1285#120—1461no—
1286#120—1461no—
1287#120—1461no—
1288#120—1461no—
1289#120—1461no—
1290C4×Q8—731no—
1291C4×Q8—731no—
1292C4×Q8—731no—
1293C4×Q8—731no—
1294C4×Q8C22×D7311yescharacteristic
1295C4×D4—21no—
1296C4×D4—21no—
1297C4×D4—21no—
1298C4×D4—731no—
1299C4×D4—731no—
1300C4×D4—731no—
1301C4×D4—731no—
1302C4×D4—731no—
1303C4×D4—731no—
1304C4×D4—731no—
1305C4×D4—731no—
1306C4×D4—731no—
1307C4×D4—731no—
1308C4×D4—731no—
1309C4×D4—731no—
1310C4×D4—731no—
1311C4×D4—731no—
1312C4×D4—1461no—
1313C4×D4—1461no—
1314C4×D4—1461no—
1315C4×D4—1461no—
1316C4×D4—1461no—
1317C4×D4—1461no—
1318C4×D4—1461no—
1319C4×D4—1461no—
1320C4×D4—1461no—
1321C4×D4—1461no—
1322C4×D4—1461no—
1323C4×D4—1461no—
1324C4×D4—1461no—
1325C4×D4—1461no—
1326C4×D4—1461no—
1327C4×D4C22×D7311yescharacteristic
1328C4×D4C22×D7311yescharacteristic
1329C4×D4C22×D7311yescharacteristic
1330C4×D4C22×D7311yescharacteristic
1331C4×D4C22×D7311yescharacteristic
1332#117—21no—
1333#117—731no—
1334#117—731no—
1335#117—731no—
1336#117—1461no—
1337#117—1461no—
1338#117—1461no—
1339C2×C4⋊C4—731no—
1340C2×C4⋊C4—731no—
1341C2×C4⋊C4C22×D7311yescharacteristic
1342C2×C22⋊C4—21no—
1343C2×C22⋊C4—1461no—
1344C2×C22⋊C4—1461no—
1345C2×C22⋊C4—1461no—
1346C2×C22⋊C4—1461no—
1347C2×C22⋊C4—1461no—
1348C2×C22⋊C4—1461no—
1349C2×C22⋊C4—1461no—
1350C2×C22⋊C4—1461no—
1351C2×C42—731no—
1352C2×C42—731no—
1353C2×C42C22×D7311yescharacteristic
1354#107—731no—
1355#107—731no—
1356#107C22×D7311yescharacteristic
1357#107C22×D7311yescharacteristic
1358#106—731no—
1359#106—731no—
1360#106C22×D7311yescharacteristic
1361#106C22×D7311yescharacteristic
1362C4⋊C8—731no—
1363C4⋊C8—731no—
1364C4⋊C8—731no—
1365C4⋊C8—731no—
1366C4⋊C8—731no—
1367C4⋊C8—731no—
1368C4⋊C8—731no—
1369C4⋊C8—731no—
1370C4⋊C8C22×D7311yescharacteristic
1371C4⋊C8C22×D7311yescharacteristic
1372#103—731no—
1373#103—731no—
1374#103—731no—
1375#103—731no—
1376#103—731no—
1377#103—731no—
1378#103—731no—
1379#103—731no—
1380#103—731no—
1381#103—731no—
1382#103C22×D7311yescharacteristic
1383#103C22×D7311yescharacteristic
1384#102—731no—
1385#102—731no—
1386#102—731no—
1387#102—731no—
1388#102—731no—
1389#102—731no—
1390#102—731no—
1391#102—731no—
1392#102—731no—
1393#102—731no—
1394#102—731no—
1395#102—731no—
1396#102—731no—
1397#102—731no—
1398#102C22×D7311yescharacteristic
1399#102C22×D7311yescharacteristic
1400#102C22×D7311yescharacteristic
1401#102C22×D7311yescharacteristic
1402#102C22×D7311yescharacteristic
1403#102C22×D7311yescharacteristic
1404C22⋊C8—731no—
1405C22⋊C8—731no—
1406C22⋊C8—731no—
1407C22⋊C8—731no—
1408C22⋊C8C22×D7311yescharacteristic
1409C22⋊C8C22×D7311yescharacteristic
1410#97—731no—
1411#97—731no—
1412#97C22×D7311yescharacteristic
1413#97C22×D7311yescharacteristic
1414C4×C8—731no—
1415C4×C8—731no—
1416C24—21no—
1417C24—1461no—
1418C24—1461no—
1419C24—1461no—
1420C24—1461no—
1421#41—2924no—
1422#41—2924no—
1423#41—2924no—
1424#41—2924no—
1425#41—2924no—
1426#41—2924no—
1427#41—2924no—
1428#41—2921no—
1429#41—2921no—
1430#41—2921no—
1431#41—2921no—
1432#41—1464no—
1433C2×Q8—2921no—
1434C2×Q8—2921no—
1435C2×Q8—2924no—
1436C2×Q8—2921no—
1437C2×Q8—2921no—
1438C2×Q8—731no—
1439C2×Q8—731no—
1440C2×Q8—731no—
1441C2×Q8—1461no—
1442C2×Q8—1461no—
1443C2×Q8—1461no—
1444C2×Q8—1461no—
1445C2×Q8—1461no—
1446C2×Q8C23×D7311yescharacteristic
1447C2×D4—22no—
1448C2×D4—21no—
1449C2×D4—21no—
1450C2×D4—41no—
1451C2×D4—2921no—
1452C2×D4—2921no—
1453C2×D4—2924no—
1454C2×D4—2924no—
1455C2×D4—2924no—
1456C2×D4—2924no—
1457C2×D4—2921no—
1458C2×D4—2921no—
1459C2×D4—2921no—
1460C2×D4—2921no—
1461C2×D4—731no—
1462C2×D4—731no—
1463C2×D4—731no—
1464C2×D4—731no—
1465C2×D4—731no—
1466C2×D4—731no—
1467C2×D4—731no—
1468C2×D4—1461no—
1469C2×D4—1461no—
1470C2×D4—1461no—
1471C2×D4—1461no—
1472C2×D4—1461no—
1473C2×D4—1461no—
1474C2×D4—1461no—
1475C2×D4—1461no—
1476C2×D4—1461no—
1477C2×D4—1461no—
1478C2×D4—1461no—
1479C2×D4—1461no—
1480C2×D4—1461no—
1481C2×D4—1461no—
1482C2×D4—1461no—
1483C2×D4—1461no—
1484C2×D4—1461no—
1485C2×D4—1461no—
1486C2×D4—1462no—
1487C2×D4—1462no—
1488C2×D4—1461no—
1489C2×D4—1461no—
1490C2×D4—1461no—
1491C2×D4—1461no—
1492C2×D4C23×D7311yescharacteristic
1493C2×D4C23×D7311yescharacteristic
1494C2×D4C23×D7311yescharacteristic
1495C22×C4—21no—
1496C22×C4—21no—
1497C22×C4—21no—
1498C22×C4—21no—
1499C22×C4—21no—
1500C22×C4—21no—
1501C22×C4—44no—
1502C22×C4—2924no—
1503C22×C4—2924no—
1504C22×C4—731no—
1505C22×C4—731no—
1506C22×C4—731no—
1507C22×C4—731no—
1508C22×C4—731no—
1509C22×C4—731no—
1510C22×C4—1461no—
1511C22×C4—1461no—
1512C22×C4—1461no—
1513C22×C4—1461no—
1514C22×C4—1461no—
1515C22×C4—1461no—
1516C22×C4—1461no—
1517C22×C4—1461no—
1518C22×C4—1461no—
1519C22×C4—1461no—
1520C22×C4—1461no—
1521C22×C4—1461no—
1522C22×C4—1461no—
1523C22×C4—1461no—
1524C22×C4D4×D7311yescharacteristic
1525C22×C4D4×D7311yescharacteristic
1526C22×C4C23×D7311yescharacteristic
1527SD16—22no—
1528SD16—41no—
1529SD16—2921no—
1530SD16—2921no—
1531SD16—2921no—
1532SD16—2921no—
1533SD16—2921no—
1534SD16—2921no—
1535SD16—2921no—
1536SD16—2921no—
1537SD16—1462no—
1538SD16—1462no—
1539D8—22no—
1540D8—41no—
1541D8—2921no—
1542D8—2921no—
1543D8—2921no—
1544D8—2921no—
1545D8—2921no—
1546D8—2921no—
1547D8—2921no—
1548D8—2921no—
1549D8—1462no—
1550D8—1462no—
1551M16—2921no—
1552M16—2921no—
1553C2×C8—2921no—
1554C2×C8—2921no—
1555C2×C8—2921no—
1556C2×C8—2921no—
1557C2×C8—731no—
1558C2×C8—731no—
1559C2×C8—731no—
1560C2×C8—731no—
1561C2×C8C23×D7311yescharacteristic
1562C2×C8C23×D7311yescharacteristic
1563C2×C8C23×D7311yescharacteristic
1564C2×C8C23×D7311yescharacteristic
1565C4⋊C4—21no—
1566C4⋊C4—21no—
1567C4⋊C4—21no—
1568C4⋊C4—21no—
1569C4⋊C4—21no—
1570C4⋊C4—731no—
1571C4⋊C4—731no—
1572C4⋊C4—731no—
1573C4⋊C4—731no—
1574C4⋊C4—731no—
1575C4⋊C4—731no—
1576C4⋊C4—731no—
1577C4⋊C4—731no—
1578C4⋊C4—1461no—
1579C4⋊C4—1461no—
1580C4⋊C4—1461no—
1581C4⋊C4—1461no—
1582C4⋊C4—1461no—
1583C4⋊C4—1461no—
1584C4⋊C4—1461no—
1585C4⋊C4—1461no—
1586C4⋊C4—1461no—
1587C4⋊C4—1461no—
1588C4⋊C4—1461no—
1589C4⋊C4C23×D7311yescharacteristic
1590C4⋊C4C23×D7311yescharacteristic
1591C4⋊C4C23×D7311yescharacteristic
1592C4⋊C4C23×D7311yescharacteristic
1593C22⋊C4—21no—
1594C22⋊C4—21no—
1595C22⋊C4—21no—
1596C22⋊C4—21no—
1597C22⋊C4—21no—
1598C22⋊C4—21no—
1599C22⋊C4—21no—
1600C22⋊C4—21no—
1601C22⋊C4—21no—
1602C22⋊C4—731no—
1603C22⋊C4—731no—
1604C22⋊C4—731no—
1605C22⋊C4—731no—
1606C22⋊C4—731no—
1607C22⋊C4—731no—
1608C22⋊C4—1461no—
1609C22⋊C4—1461no—
1610C22⋊C4—1461no—
1611C22⋊C4—1461no—
1612C22⋊C4—1461no—
1613C22⋊C4—1461no—
1614C22⋊C4—1461no—
1615C22⋊C4—1461no—
1616C22⋊C4—1461no—
1617C22⋊C4—1461no—
1618C22⋊C4—1461no—
1619C22⋊C4—1461no—
1620C22⋊C4—1461no—
1621C22⋊C4—1461no—
1622C22⋊C4—1461no—
1623C22⋊C4—1461no—
1624C22⋊C4—1461no—
1625C22⋊C4—1461no—
1626C22⋊C4—1461no—
1627C22⋊C4—1461no—
1628C22⋊C4—1461no—
1629C22⋊C4—1461no—
1630C22⋊C4—1461no—
1631C22⋊C4—1461no—
1632C22⋊C4—1461no—
1633C22⋊C4—1461no—
1634C22⋊C4—1461no—
1635C22⋊C4—1461no—
1636C22⋊C4—1461no—
1637C22⋊C4—1461no—
1638C42—21no—
1639C42—731no—
1640C42—731no—
1641C42—731no—
1642C42—731no—
1643C42—731no—
1644C42—731no—
1645C42—1461no—
1646C42—1461no—
1647C42D4×D7311yescharacteristic
1648C42D4×D7311yescharacteristic
1649C42C23×D7311yescharacteristic
1650C42C23×D7311yescharacteristic
1651C23—21no—
1652C23—21no—
1653C23—21no—
1654C23—42no—
1655C23—42no—
1656C23—81no—
1657C23—2922no—
1658C23—2922no—
1659C23—2922no—
1660C23—2922no—
1661C23—2922no—
1662C23—2922no—
1663C23—5841no—
1664C23—5841no—
1665C23—5841no—
1666C23—5841no—
1667C23—5841no—
1668C23—5841no—
1669C23—731no—
1670C23—731no—
1671C23—1461no—
1672C23—1461no—
1673C23—1461no—
1674C23—1461no—
1675C23C2×D4×D7311yescharacteristic
1676Q8—21no—
1677Q8—21no—
1678Q8—2922no—
1679Q8—2922no—
1680Q8—2922no—
1681Q8—5841no—
1682Q8—5841no—
1683Q8—1462no—
1684Q8—1461no—
1685Q8—1461no—
1686Q8—1461no—
1687Q8—1461no—
1688D4—21no—
1689D4—21no—
1690D4—21no—
1691D4—21no—
1692D4—21no—
1693D4—42no—
1694D4—42no—
1695D4—2922no—
1696D4—2922no—
1697D4—2922no—
1698D4—2922no—
1699D4—2922no—
1700D4—2922no—
1701D4—2922no—
1702D4—2922no—
1703D4—2922no—
1704D4—2922no—
1705D4—2922no—
1706D4—2922no—
1707D4—2922no—
1708D4—5841no—
1709D4—5841no—
1710D4—5841no—
1711D4—5841no—
1712D4—5841no—
1713D4—5841no—
1714D4—5841no—
1715D4—5841no—
1716D4—5841no—
1717D4—734no—
1718D4—1462no—
1719D4—1462no—
1720D4—1461no—
1721D4—1461no—
1722D4—1461no—
1723D4—1461no—
1724D4—1461no—
1725D4—1461no—
1726D4—1461no—
1727D4—1461no—
1728D4#1455663712yes—
1729C2×C4—22no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—41no—
1738C2×C4—42no—
1739C2×C4—42no—
1740C2×C4—42no—
1741C2×C4—42no—
1742C2×C4—42no—
1743C2×C4—81no—
1744C2×C4—2922no—
1745C2×C4—2922no—
1746C2×C4—2921no—
1747C2×C4—2921no—
1748C2×C4—2922no—
1749C2×C4—2922no—
1750C2×C4—2922no—
1751C2×C4—2922no—
1752C2×C4—2922no—
1753C2×C4—2922no—
1754C2×C4—2922no—
1755C2×C4—5841no—
1756C2×C4—5841no—
1757C2×C4—5841no—
1758C2×C4—5841no—
1759C2×C4—5841no—
1760C2×C4—731no—
1761C2×C4—731no—
1762C2×C4—731no—
1763C2×C4—731no—
1764C2×C4—731no—
1765C2×C4—731no—
1766C2×C4—1462no—
1767C2×C4—1462no—
1768C2×C4—1461no—
1769C2×C4—1461no—
1770C2×C4—1461no—
1771C2×C4—1461no—
1772C2×C4—1461no—
1773C2×C4—1461no—
1774C2×C4—1461no—
1775C2×C4—1461no—
1776C2×C4C2×D4×D7311yescharacteristic
1777C2×C4C2×D4×D7311yescharacteristic
1778C2×C4C2×D4×D7311yescharacteristic
1779C2×C4C2×D4×D7311yescharacteristic
1780C2×C4C2×D4×D7311yescharacteristic
1781C2×C4C24×D7311yescharacteristic
1782C8—21no—
1783C8—21no—
1784C8—21no—
1785C8—21no—
1786C8—1461no—
1787C8—1461no—
1788C8—1461no—
1789C8—1461no—
1790C22—21no—
1791C22—21no—
1792C22—22no—
1793C22—41no—
1794C22—41no—
1795C22—41no—
1796C22—41no—
1797C22—41no—
1798C22—41no—
1799C22—41no—
1800C22—41no—
1801C22—84no—
1802C22—2921no—
1803C22—2921no—
1804C22—2921no—
1805C22—2921no—
1806C22—2921no—
1807C22—2921no—
1808C22—2921no—
1809C22—2921no—
1810C22—2921no—
1811C22—2921no—
1812C22—2921no—
1813C22—2921no—
1814C22—5844no—
1815C22—5844no—
1816C22—732no—
1817C22—11682no—
1818C22—11682no—
1819C22—1461no—
1820C22—1461no—
1821C22—1461no—
1822C22—1461no—
1823C22—1461no—
1824C22AGL(1,ℤ/8)×D7312yes—
1825C22C22×D4×D7311yescharacteristic
1826C4—21no—
1827C4—21no—
1828C4—21no—
1829C4—21no—
1830C4—21no—
1831C4—41no—
1832C4—41no—
1833C4—41no—
1834C4—41no—
1835C4—41no—
1836C4—2921no—
1837C4—2921no—
1838C4—2921no—
1839C4—2921no—
1840C4—732no—
1841C4—1461no—
1842C4—1461no—
1843C4—1461no—
1844C4—1461no—
1845C4—1461no—
1846C4C2×#1455663711yescharacteristic
1847C4#1798942311yescharacteristic
1848C2—22no—
1849C2—42no—
1850C2—81no—
1851C2—81no—
1852C2—2921no—
1853C2—5841no—
1854C2—5841no—
1855C2—5841no—
1856C2—5841no—
1857C2—1462no—
1858C2#2262359211yescharacteristic
1859C2C2×AGL(1,ℤ/8)×D7311yescharacteristic
1860C2#2262470411yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3114C2
socleC22×C73C23×D4
hypercenter#3114D73
hypocenterC73#61989
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3114

Complements

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

NH ≅ G/Ntype
1. #22623880C2semidirect
2. D4×#11924028C2semidirect
3. #22622974C2semidirect
4. #22622952C2semidirect
5. #22622724C2semidirect
6. #22622650C2semidirect
7. #22621927C2semidirect
8. #22621920C2semidirect
9. #22621897C2semidirect
10. #22621890C2semidirect
11. #22621794C2semidirect
12. #22621742C2semidirect
13. #22621625C2semidirect
14. #22621601C2semidirect
15. #22621430C2semidirect
16. #22621428C2semidirect
17. #22621415C2semidirect
18. #22621413C2semidirect
19. #22621292C2semidirect
20. #22621257C2semidirect
21. #22621256C2semidirect
22. #22620920C2semidirect
23. #22620916C2semidirect
24. #22620863C2semidirect
25. #22620074C2semidirect
26. #22619983C2semidirect
27. #22619393C2semidirect
28. C2×#17988802C2semidirect
29. #463×D73C2semidirect
30. #22619058C2semidirect
31. C73×#3114C2semidirect
33. C2×#14556618C22semidirect
34. C2×#14556615C22semidirect
35. C22×#11924016C22semidirect
36. C2×SD16×D73C22semidirect
39. #17989320C22semidirect
40. #17989309C22semidirect
44. #17989258C22semidirect
45. D4×Dic146C22semidirect
46. #17989250C22semidirect
47. #17989249C22semidirect
49. #17989243C22semidirect
50. #17989242C22semidirect
52. #17989238C22semidirect
54. #17989232C22semidirect
56. #17989228C22semidirect
59. D4×D292C22semidirect
60. #17989221C22semidirect
62. D4×C22⋊D73C22semidirect
66. #17989137C22semidirect
67. #17989136C22semidirect
68. #17989134C22semidirect
69. #17989134C22semidirect
70. #17989122C22semidirect
71. #17989122C22semidirect
72. C2×#14556579C22semidirect
73. #124×D73C22semidirect
79. C4×D4×D73C22semidirect
80. C4×D4×D73C22semidirect
81. #17988976C22semidirect
82. #17988976C22semidirect
83. #17988975C22semidirect
84. #17988973C22semidirect
85. #17988962C22semidirect
86. #17988958C22semidirect
87. #17988948C22semidirect
88. #17988947C22semidirect
89. #17988947C22semidirect
90. #17988945C22semidirect
91. #17988936C22semidirect
92. #17988932C22semidirect
93. #17988924C22semidirect
94. #17988919C22semidirect
95. #17988907C22semidirect
96. #17988902C22semidirect
97. #17988884C22semidirect
98. #17988884C22semidirect
99. #17988882C22semidirect
100. #17988881C22semidirect
101. #17988877C22semidirect
102. #17988876C22semidirect
103. #17988871C22semidirect
104. #17988866C22semidirect
105. #17988841C22semidirect
106. #17988839C22semidirect
107. #17988834C22semidirect
108. #17988832C22semidirect
109. #17988824C22semidirect
110. #17988822C22semidirect
111. #17988821C22semidirect
112. #17988821C22semidirect
113. #17988818C22semidirect
114. #17988818C22semidirect
115. #17988817C22semidirect
116. #17988815C22semidirect
117. #17988805C22semidirect
119. #17988803C22semidirect
120. #17988803C22semidirect
121. #17988803C22semidirect
122. #17988803C22semidirect
125. #17988802C22semidirect
126. #17988802C22semidirect
127. #17988802C22semidirect
128. #17988802C22semidirect
129. #17988802C22semidirect
130. #17988802C22semidirect
131. #17988801C22semidirect
132. #17988800C22semidirect
133. #17988799C22semidirect
134. #17988799C22semidirect
135. #17988791C22semidirect
136. #17988790C22semidirect
137. #17988787C22semidirect
138. #17988786C22semidirect
139. #17988786C22semidirect
140. #17988782C22semidirect
141. #17988781C22semidirect
142. #17988781C22semidirect
143. #17988781C22semidirect
145. #17988739C22semidirect
146. #17988739C22semidirect
147. #17988735C22semidirect
148. #17988733C22semidirect
149. #17988731C22semidirect
150. #17988729C22semidirect
151. #17988728C22semidirect
152. #17988728C22semidirect
153. #17988727C22semidirect
154. #17988724C22semidirect
155. #17988723C22semidirect
156. #17988723C22semidirect
159. #17988722C22semidirect
160. #17988719C22semidirect
161. #17988715C22semidirect
162. #17988715C22semidirect
163. #17988698C22semidirect
164. #17988696C22semidirect
165. #17988686C22semidirect
166. #17988684C22semidirect
167. #17988678C22semidirect
168. #17988674C22semidirect
169. #17988669C22semidirect
171. #17988660C22semidirect
172. #17988660C22semidirect
173. #17988655C22semidirect
174. #17988655C22semidirect
175. #17988650C22semidirect
176. #17988650C22semidirect
177. #17988643C22semidirect
178. #17988639C22semidirect
179. #17988609C22semidirect
180. C2×C4⋊#10596831C22semidirect
181. C4⋊C8×D73C22semidirect
182. #17988587C22semidirect
183. #17988585C22semidirect
184. C2×#14556514C22semidirect
185. #103×D73C22semidirect
186. C2×#14556511C22semidirect
187. #102×D73C22semidirect
188. #529×C73C22semidirect
189. C2×C4×D4×C73C22semidirect
190. #483×C73C22semidirect
191. #480×C73C22semidirect
192. #478×C73C22semidirect
193. #478×C73C22semidirect
194. #463×C73C22semidirect
195. #463×C73C22semidirect
196. #450×C73C22semidirect
198. #442×C73C22semidirect
199. #442×C73C22semidirect
200. #440×C73C22semidirect
201. #440×C73C22semidirect
202. #432×C73C22semidirect
791. C22⋊D73AGL(1,ℤ/8)semidirect
956. #3114D73semidirect
962. C73#61989semidirect
1003. #529C2×D73semidirect
1013. C2×C4×D4C2×D73semidirect
1028. #483C2×D73semidirect
1031. #480C2×D73semidirect
1034. #478C2×D73semidirect
1035. #478C2×D73semidirect
1072. #463C2×D73semidirect
1073. #463C2×D73semidirect
1086. #450C2×D73semidirect
1106. #442C2×D73semidirect
1107. #442C2×D73semidirect
1110. #440C2×D73semidirect
1111. #440C2×D73semidirect
1123. #432C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226238802
D4×#119240282
#226229742
#226229522
#226227242
#226226502
#226219272
#226219202
#226218972
#226218902
#226217942
#226217422
#226216252
#226216012
#226214302
#226214282
#226214152
#226214132
#226212922
#226212572
#226212562
#226209202
#226209162
#226208632
#226200742
#226199832
#226193932
C2×#179888022
#463×D732
#226190582
C73×#31142
#6198973