Finite Group Databasebeta

← #33954626

Subgroups — #33954626

Order 18688.

2144 conjugacy classes of subgroups.

The subgroup lattice has 1800 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623345C211yesmaximal, characteristic, complemented
2C4×#14556637C211yesmaximal, characteristic, complemented
3#22620215C211yesmaximal, characteristic, complemented
4#22620209C211yesmaximal, characteristic, complemented
5#22620172C211yesmaximal, characteristic, complemented
6#22620170C211yesmaximal, characteristic, complemented
7#22620129C211yesmaximal, characteristic, complemented
8#22620123C211yesmaximal, characteristic, complemented
9#22620122C211yesmaximal, characteristic, complemented
10#22620110C211yesmaximal, characteristic, complemented
11#22620080C211yesmaximal, characteristic, complemented
12#22620071C211yesmaximal, characteristic, complemented
13#22620067C211yesmaximal, characteristic, complemented
14#22620040C211yesmaximal, characteristic, complemented
15#22620038C211yesmaximal, characteristic, complemented
16#22620020C211yesmaximal, characteristic, complemented
17#22620018C211yesmaximal, characteristic, complemented
18#22619923C211yesmaximal, characteristic, complemented
19#22619886C211yesmaximal, characteristic, complemented
20#22619790C211yesmaximal, characteristic, complemented
21#22619755C211yesmaximal, characteristic, complemented
22#22619467C211yesmaximal, characteristic, complemented
23#22619429C211yesmaximal, characteristic, complemented
24#22619233C211yesmaximal, characteristic, complemented
25#22619196C211yesmaximal, characteristic, complemented
26#22618742C211yesmaximal, characteristic, complemented
27#22618736C211yesmaximal, characteristic, complemented
28#22618726C211yesmaximal, characteristic, complemented
29#442×D73C211yesmaximal, characteristic, complemented
30#22618577C211yesmaximal, characteristic, complemented
31C73×#3115C211yesmaximal, characteristic, complemented
32C2×#14556637C2211yescharacteristic
33C2×#14556618C2211yescharacteristic
34C2×#14556615C2211yescharacteristic
35C2×#14556612C2211yescharacteristic
36C2×D8×D73C2211yescharacteristic
37#17989214C2211yescharacteristic, complemented
38#17989211C2211yescharacteristic, complemented
39#17989204C2211yescharacteristic, complemented
40#17989201—21no—
41#17989191C2211yescharacteristic, complemented
42#17989190C2211yescharacteristic, complemented
43#17989187—21no—
44#17989171—21no—
45#17989169—21no—
46#17989166C2211yescharacteristic
47#17989153C2211yescharacteristic
48#17989150C2211yescharacteristic, complemented
49#17989134C2211yescharacteristic, complemented
50#17989133—21no—
51#17989121C2211yescharacteristic, complemented
52#17989119C2211yescharacteristic, complemented
53#17989117—21no—
54#17989096—21no—
55#17989094—21no—
56#17989070C2211yescharacteristic, complemented
57#17989069C2211yescharacteristic
58#17989069C2211yescharacteristic, complemented
59#17989067—21no—
60#17989067C2211yescharacteristic
61#17989061—21no—
62#17989061C2211yescharacteristic, complemented
63#17989059—21no—
64#17989059—21no—
65#17989059C2211yescharacteristic
66#17989059C2211yescharacteristic, complemented
67C4×#11924029C2211yescharacteristic
68C4×#11924029C2211yescharacteristic, complemented
69C4×#11924028—21no—
70C4×#11924028C2211yescharacteristic
71C4×#11924027C2211yescharacteristic, complemented
72C2×C4×D292—21no—
73C2×C4×D292C2211yescharacteristic, complemented
74C4×D4×D73—21no—
75C4×D4×D73—21no—
76C4×D4×D73C2211yescharacteristic
77C4×D4×D73C2211yescharacteristic, complemented
78C4×D4×D73C2211yescharacteristic, complemented
79#17988930C2211yescharacteristic, complemented
80#17988928C2211yescharacteristic, complemented
81#17988919C2211yescharacteristic, complemented
82#17988918C2211yescharacteristic, complemented
83#17988914C2211yescharacteristic, complemented
84#17988911C2211yescharacteristic, complemented
85#17988910C2211yescharacteristic, complemented
86#17988909C2211yescharacteristic, complemented
87#17988907C2211yescharacteristic, complemented
88#17988904C2211yescharacteristic, complemented
89#17988903C2211yescharacteristic, complemented
90#17988903C2211yescharacteristic, complemented
91#17988901C2211yescharacteristic, complemented
92#17988899C2211yescharacteristic, complemented
93#17988896C2211yescharacteristic, complemented
94#17988894C2211yescharacteristic, complemented
95#17988890C2211yescharacteristic, complemented
96#17988888C2211yescharacteristic, complemented
97#17988888C2211yescharacteristic, complemented
98#17988887C2211yescharacteristic, complemented
99#17988886C2211yescharacteristic, complemented
100#17988885C2211yescharacteristic, complemented
101#17988876C2211yescharacteristic, complemented
102#17988875C2211yescharacteristic, complemented
103#17988874C2211yescharacteristic, complemented
104#17988874C2211yescharacteristic, complemented
105#17988870C2211yescharacteristic, complemented
106#17988866C2211yescharacteristic, complemented
107#17988809C2211yescharacteristic, complemented
108#17988807C2211yescharacteristic, complemented
109#17988803C2211yescharacteristic, complemented
110#17988803C2211yescharacteristic, complemented
111#17988802C2211yescharacteristic, complemented
112#17988801C2211yescharacteristic, complemented
113#17988801C2211yescharacteristic, complemented
114#17988800C2211yescharacteristic, complemented
115#17988785C2211yescharacteristic, complemented
116#17988781C2211yescharacteristic, complemented
117#17988781C2211yescharacteristic, complemented
118#17988780C2211yescharacteristic, complemented
119#17988779C2211yescharacteristic, complemented
120#17988779C2211yescharacteristic, complemented
121#17988752C2211yescharacteristic, complemented
122#17988749C2211yescharacteristic, complemented
123#17988740C2211yescharacteristic, complemented
124#17988739C2211yescharacteristic, complemented
125#17988735C2211yescharacteristic
126#17988732C2211yescharacteristic
127#17988731C2211yescharacteristic
128#17988731C2211yescharacteristic, complemented
129#17988723C2211yescharacteristic
130#17988722C2211yescharacteristic
131#17988720C2211yescharacteristic
132#17988720C2211yescharacteristic, complemented
133#17988719C2211yescharacteristic
134#17988719C2211yescharacteristic, complemented
135#17988700C2211yescharacteristic, complemented
136#17988700C2211yescharacteristic, complemented
137#17988699C2211yescharacteristic, complemented
138#17988698C2211yescharacteristic, complemented
139#17988697C2211yescharacteristic, complemented
140#17988697C2211yescharacteristic, complemented
141#17988697C2211yescharacteristic, complemented
142#17988697C2211yescharacteristic, complemented
143#17988697C2211yescharacteristic, complemented
144#17988696C2211yescharacteristic, complemented
145#17988696C2211yescharacteristic, complemented
146#17988696C2211yescharacteristic, complemented
147#17988692C2211yescharacteristic, complemented
148#17988691C2211yescharacteristic, complemented
149#17988689C2211yescharacteristic, complemented
150#17988689C2211yescharacteristic, complemented
151#17988688C2211yescharacteristic, complemented
152#17988687C2211yescharacteristic, complemented
153#17988686C2211yescharacteristic, complemented
154#17988685C2211yescharacteristic, complemented
155#17988678C2211yescharacteristic, complemented
156SD16×Dic73C2211yescharacteristic, complemented
157#17988674C2211yescharacteristic, complemented
158#17988672C2211yescharacteristic, complemented
159D8×Dic73C2211yescharacteristic, complemented
160#17988669C2211yescharacteristic, complemented
161#17988667C2211yescharacteristic, complemented
162#17988667C2211yescharacteristic, complemented
163#17988647C2211yescharacteristic, complemented
164#17988647C2211yescharacteristic, complemented
165#17988645C2211yescharacteristic, complemented
166#17988645C2211yescharacteristic, complemented
167#17988644C2211yescharacteristic, complemented
168#17988642C2211yescharacteristic, complemented
169#17988642C2211yescharacteristic, complemented
170#17988628C2211yescharacteristic, complemented
171#17988626C2211yescharacteristic, complemented
172#17988624C2211yescharacteristic, complemented
173#106×D73C2211yescharacteristic, complemented
174#17988612C2211yescharacteristic, complemented
175#17988612C2211yescharacteristic, complemented
176#17988590C2211yescharacteristic
177#17988590C2211yescharacteristic, complemented
178#17988587C2211yescharacteristic
179#17988585C2211yescharacteristic, complemented
180#17988582C2211yescharacteristic
181#17988580C2211yescharacteristic, complemented
182#102×D73C2211yescharacteristic
183#102×D73C2211yescharacteristic, complemented
184#17988552C2211yescharacteristic
185#17988552C2211yescharacteristic
186#17988539C2211yescharacteristic, complemented
187#97×D73C2211yescharacteristic, complemented
188#532×C73C2211yescharacteristic, complemented
189C4×#41×C73C2211yescharacteristic, complemented
190#482×C73C2211yescharacteristic, complemented
191#482×C73C2211yescharacteristic, complemented
192#475×C73C2211yescharacteristic, complemented
193#474×C73C2211yescharacteristic, complemented
194#460×C73C2211yescharacteristic, complemented
195#459×C73C2211yescharacteristic, complemented
196#449×C73C2211yescharacteristic
197#449×C73C2211yescharacteristic, complemented
198#442×C73C2211yescharacteristic, complemented
199#442×C73C2211yescharacteristic, complemented
200#440×C73C2211yescharacteristic, complemented
201#440×C73C2211yescharacteristic, complemented
202#432×C73C2211yescharacteristic, complemented
203#14556637—24no—
204#14556637—24no—
205C2×#11924029C2311yescharacteristic
206C2×#11924029C2311yescharacteristic
207C2×#11924028—21no—
208C2×#11924028—21no—
209C2×#11924028C2311yescharacteristic
210C2×#11924027C2311yescharacteristic
211C22×D292—21no—
212C22×D292C2311yescharacteristic
213C2×D4×D73—21no—
214C2×D4×D73—21no—
215C2×D4×D73C2311yescharacteristic
216C2×D4×D73C2311yescharacteristic
217C2×D4×D73C2311yescharacteristic
218C22×C4×D73—21no—
219C22×C4×D73—21no—
220C22×C4×D73—21no—
221C22×C4×D73—21no—
222#14556618—24no—
223#14556615—24no—
224#14556612—24no—
225C2×#11924018C2311yescharacteristic
226C2×#11924017C2311yescharacteristic
227C2×#11924017C2311yescharacteristic
228C2×#11924016C2311yescharacteristic
229C2×#11924015C2311yescharacteristic
230C2×D584C2311yescharacteristic
231C2×D584C2311yescharacteristic
232C2×#11924013C2311yescharacteristic
233C2×#11924013C2311yescharacteristic
234C2×#11924013C2311yescharacteristic
235C2×#11924013C2311yescharacteristic
236C2×#11924013C2311yescharacteristic
237D8×D73—24no—
238C2×#11924011C2311yescharacteristic
239C2×#11924011C2311yescharacteristic
240C2×C8×D73C2311yescharacteristic
241C2×C8×D73C2311yescharacteristic
242#14556590C2311yescharacteristic
243#14556589—21no—
244#14556587—21no—
245#14556587C2311yescharacteristic
246#14556586—21no—
247#14556585—21no—
248#14556584—21no—
249#14556584—21no—
250#14556583C2311yescharacteristic
251#14556582C2311yescharacteristic
252#14556581—21no—
253#14556580—21no—
254#14556579C2311yescharacteristic
255#14556578—21no—
256#14556578C2311yescharacteristic
257#14556577—21no—
258#14556577—21no—
259#14556576—21no—
260#14556575—21no—
261#14556574—21no—
262#14556573—21no—
263#14556573—21no—
264#14556572—21no—
265#14556572—21no—
266#14556572—21no—
267#14556571C2311yescharacteristic
268#14556570C2311yescharacteristic
269#14556569—21no—
270#14556568—21no—
271#14556568—21no—
272#14556567—21no—
273#14556567—21no—
274#14556566C2311yescharacteristic
275#14556565C2311yescharacteristic
276#14556564—21no—
277#14556564—21no—
278#14556563—21no—
279#14556563—21no—
280#14556563—21no—
281#14556563—21no—
282#14556563—21no—
283#14556563—21no—
284#14556562—21no—
285#14556562—21no—
286#14556562C2311yescharacteristic
287#14556562C2311yescharacteristic
288#14556561—21no—
289#14556559—21no—
290#14556559—21no—
291#14556559—21no—
292Q8×Dic73C2311yescharacteristic
293Q8×Dic73C2311yescharacteristic
294C4×Dic146—21no—
295C4×Dic146D411yescharacteristic
296C4×Dic146D411yescharacteristic
297C4×Dic146C2311yescharacteristic
298#14556556C2311yescharacteristic
299C4×D292—21no—
300C4×D292—21no—
301C4×D292—21no—
302C4×D292—21no—
303C4×D292—21no—
304C4×D292—21no—
305C4×D292—21no—
306C4×D292—21no—
307C4×D292—21no—
308C4×D292D411yescharacteristic
309C4×D292D411yescharacteristic
310C4×D292C2311yescharacteristic
311C4×D292C2311yescharacteristic
312C4×D292C2311yescharacteristic
313C4×D292C2311yescharacteristic
314C4×D292C2311yescharacteristic
315D4×Dic73—21no—
316D4×Dic73—21no—
317D4×Dic73C2311yescharacteristic
318D4×Dic73C2311yescharacteristic
319D4×Dic73C2311yescharacteristic
320D4×Dic73C2311yescharacteristic
321#14556553—21no—
322#14556553—21no—
323#14556553—21no—
324#14556553—21no—
325#14556553C2311yescharacteristic
326#14556553C2311yescharacteristic
327#14556553C2311yescharacteristic
328#14556553C2311yescharacteristic
329#14556553C2311yescharacteristic
330C4×C22⋊D73—21no—
331C4×C22⋊D73—21no—
332C4×C22⋊D73—21no—
333C4×C22⋊D73—21no—
334C4×C22⋊D73—21no—
335C4×C22⋊D73—21no—
336C4×C22⋊D73—21no—
337C4×C22⋊D73—21no—
338C4×C22⋊D73—21no—
339C4×C22⋊D73D411yescharacteristic
340C4×C22⋊D73D411yescharacteristic
341C4×C22⋊D73D411yescharacteristic
342C4×C22⋊D73D411yescharacteristic
343#14556551—21no—
344#14556551—21no—
345#14556551—21no—
346#14556551—21no—
347#14556551—21no—
348#14556551—21no—
349#14556551—21no—
350#14556551—21no—
351#14556550—21no—
352#14556550—21no—
353#14556550C2311yescharacteristic
354#14556549—21no—
355#14556549—21no—
356#14556549C2311yescharacteristic
357#14556549C2311yescharacteristic
358#14556549C2311yescharacteristic
359#14556548—21no—
360#14556548—21no—
361#14556548—21no—
362#14556548C2311yescharacteristic
363#14556548C2311yescharacteristic
364#14556547—21no—
365C2×C4⋊Dic73—21no—
366C2×C4⋊Dic73C2311yescharacteristic
367C4⋊C4×D73—21no—
368C4⋊C4×D73—21no—
369C4⋊C4×D73C2311yescharacteristic
370C4⋊C4×D73C2311yescharacteristic
371C4⋊C4×D73C2311yescharacteristic
372C2×#11924005—21no—
373C2×#11924005—21no—
374C2×#11924005—21no—
375C22⋊C4×D73—21no—
376C22⋊C4×D73—21no—
377C22⋊C4×D73—21no—
378C22⋊C4×D73—21no—
379C22⋊C4×D73—21no—
380C22⋊C4×D73—21no—
381C22⋊C4×D73—21no—
382C2×C4×Dic73—21no—
383C42×D73—21no—
384C42×D73—21no—
385C42×D73C2311yescharacteristic
386C42×D73C2311yescharacteristic
387#14556525C2311yescharacteristic
388#14556525C2311yescharacteristic
389#14556524C2311yescharacteristic
390#14556524C2311yescharacteristic
391#14556523C2311yescharacteristic
392#14556523C2311yescharacteristic
393#14556522C2311yescharacteristic
394#14556522C2311yescharacteristic
395#14556522C2311yescharacteristic
396#14556522C2311yescharacteristic
397#14556522C2311yescharacteristic
398#14556522C2311yescharacteristic
399C4⋊#10596831C2311yescharacteristic
400C4⋊#10596831C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556520C2311yescharacteristic
403#14556520C2311yescharacteristic
404#14556520C2311yescharacteristic
405#14556516C2311yescharacteristic
406#14556516C2311yescharacteristic
407#14556515C2311yescharacteristic
408#14556515C2311yescharacteristic
409#14556514C2311yescharacteristic
410#14556514C2311yescharacteristic
411#14556513C2311yescharacteristic
412#14556513C2311yescharacteristic
413#14556513C2311yescharacteristic
414#14556513C2311yescharacteristic
415#14556513C2311yescharacteristic
416#14556513C2311yescharacteristic
417#14556512C2311yescharacteristic
418#14556512C2311yescharacteristic
419#14556512C2311yescharacteristic
420#14556512C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556512C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425#14556511C2311yescharacteristic
426#14556511C2311yescharacteristic
427#14556511C2311yescharacteristic
428#14556511C2311yescharacteristic
429C22⋊#10596831C2311yescharacteristic
430C22⋊#10596831C2311yescharacteristic
431#14556503C2311yescharacteristic
432#14556503C2311yescharacteristic
433#14556503C2311yescharacteristic
434#14556503C2311yescharacteristic
435#14556502C2311yescharacteristic
436#14556502C2311yescharacteristic
437#14556501C2311yescharacteristic
438#14556501C2311yescharacteristic
439C8×Dic73C2311yescharacteristic
440C8×Dic73C2311yescharacteristic
441C2×#41×C73—21no—
442C2×#41×C73C2311yescharacteristic
443C2×SD16×C73C2311yescharacteristic
444C2×SD16×C73C2311yescharacteristic
445C2×D8×C73C2311yescharacteristic
446C2×D8×C73C2311yescharacteristic
447C4⋊Q8×C73C2311yescharacteristic
448#127×C73C2311yescharacteristic
449#124×C73—21no—
450#121×C73—21no—
451#121×C73C2311yescharacteristic
452#121×C73C2311yescharacteristic
453C4×Q8×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
462#117×C73—21no—
463#117×C73C2311yescharacteristic
464C2×C42×C73—21no—
465C2×C42×C73C2311yescharacteristic
466#107×C73C2311yescharacteristic
467#107×C73C2311yescharacteristic
468#106×C73C2311yescharacteristic
469#106×C73C2311yescharacteristic
470C4⋊C8×C73C2311yescharacteristic
471C4⋊C8×C73C2311yescharacteristic
472#103×C73C2311yescharacteristic
473#103×C73C2311yescharacteristic
474#102×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478#102×C73C2311yescharacteristic
479#102×C73C2311yescharacteristic
480C22⋊C8×C73C2311yescharacteristic
481C22⋊C8×C73C2311yescharacteristic
482#97×C73C2311yescharacteristic
483#97×C73C2311yescharacteristic
484C23×D73—21no—
485C23×D73—21no—
486C23×D73—21no—
487C23×D73—21no—
488#11924029—22no—
489#11924029—22no—
490#11924029—22no—
491#11924029#4114yescomplemented
492#11924028—28no—
493#11924028—22no—
494#11924028—22no—
495#11924028—82no—
496#11924027—22no—
497#11924027—22no—
498C2×Dic146—21no—
499C2×Dic146C2×D411yescharacteristic
500C2×Dic146C2411yescharacteristic
501C2×D292—28no—
502C2×D292—21no—
503C2×D292—21no—
504C2×D292—21no—
505C2×D292—22no—
506C2×D292—22no—
507C2×D292—21no—
508C2×D292C2×D411yescharacteristic
509C2×D292C2411yescharacteristic
510C2×D292C2411yescharacteristic
511C2×D292C2411yescharacteristic
512C2×C22⋊D73—21no—
513C2×C22⋊D73—21no—
514C2×C22⋊D73—21no—
515C2×C22⋊D73—21no—
516C2×C22⋊D73—21no—
517C2×C22⋊D73—21no—
518C2×C22⋊D73—21no—
519C2×C22⋊D73—21no—
520C2×C22⋊D73—21no—
521C2×C22⋊D73C2×D411yescharacteristic
522C2×C22⋊D73C2×D411yescharacteristic
523D4×D73—28no—
524D4×D73—28no—
525D4×D73—22no—
526D4×D73—22no—
527D4×D73—22no—
528D4×D73—22no—
529D4×D73—22no—
530D4×D73#4114yescomplemented
531C22×Dic73—21no—
532C22×Dic73—21no—
533C22×Dic73—21no—
534C22×Dic73—21no—
535C22×Dic73—21no—
536C22×Dic73—21no—
537C2×C4×D73—21no—
538C2×C4×D73—21no—
539C2×C4×D73—21no—
540C2×C4×D73—21no—
541C2×C4×D73—21no—
542C2×C4×D73—21no—
543C2×C4×D73—21no—
544C2×C4×D73—21no—
545C2×C4×D73—21no—
546C2×C4×D73—21no—
547C2×C4×D73—21no—
548C2×C4×D73—21no—
549C2×C4×D73—21no—
550C2×C4×D73—21no—
551C2×C4×D73—21no—
552C2×C4×D73—82no—
553C2×C4×D73—82no—
554C2×C4×D73—82no—
555C2×C4×D73—82no—
556C2×C4×D73C2×D411yescharacteristic
557C2×C4×D73C2×D411yescharacteristic
558C2×C4×D73C2×D411yescharacteristic
559C2×C4×D73C2×D411yescharacteristic
560C2×C4×D73C2411yescharacteristic
561C2×C4×D73C2411yescharacteristic
562#11924018—22no—
563#11924017—22no—
564#11924017—22no—
565#11924016—22no—
566#11924015—22no—
567D584—22no—
568D584—22no—
569#11924013—22no—
570#11924013—22no—
571#11924013—22no—
572#11924013—22no—
573#11924013—22no—
574#11924011—22no—
575#11924011—22no—
576C2×#10596831C2411yescharacteristic
577C2×#10596831C2411yescharacteristic
578C2×#10596831C2411yescharacteristic
579C2×#10596831C2411yescharacteristic
580C8×D73—22no—
581C8×D73—22no—
582C4⋊Dic73—21no—
583C4⋊Dic73—21no—
584C4⋊Dic73—21no—
585C4⋊Dic73—21no—
586C4⋊Dic73—21no—
587C4⋊Dic73C2×D411yescharacteristic
588C4⋊Dic73C2×D411yescharacteristic
589C4⋊Dic73C2411yescharacteristic
590C4⋊Dic73C2411yescharacteristic
591C4⋊Dic73C2411yescharacteristic
592C4⋊Dic73C2411yescharacteristic
593#11924007—21no—
594#11924007—21no—
595#11924007—21no—
596#11924007—21no—
597#11924007—21no—
598#11924007—21no—
599#11924007—21no—
600#11924007—21no—
601#11924007—21no—
602#11924007—21no—
603#11924007C2×D411yescharacteristic
604#11924007C2×D411yescharacteristic
605#11924007C2×D411yescharacteristic
606#11924007C2×D411yescharacteristic
607C22⋊Dic73—21no—
608C22⋊Dic73—21no—
609C22⋊Dic73—21no—
610C22⋊Dic73—21no—
611C22⋊Dic73—21no—
612C22⋊Dic73—21no—
613C22⋊Dic73—21no—
614C22⋊Dic73—21no—
615C22⋊Dic73—21no—
616C22⋊Dic73C2×D411yescharacteristic
617C22⋊Dic73C2×D411yescharacteristic
618#11924005—21no—
619#11924005—21no—
620#11924005—21no—
621#11924005—21no—
622#11924005—21no—
623#11924005—21no—
624#11924005—21no—
625#11924005—21no—
626#11924005—21no—
627#11924005—21no—
628#11924005—21no—
629#11924005—21no—
630#11924005—21no—
631#11924005—21no—
632#11924005—21no—
633#11924005—21no—
634#11924005—21no—
635#11924005—21no—
636#11924005C2×D411yescharacteristic
637#11924005C2×D411yescharacteristic
638#11924005C2×D411yescharacteristic
639#11924005C2×D411yescharacteristic
640C4×Dic73—21no—
641C4×Dic73—21no—
642C4×Dic73—21no—
643C4×Dic73—21no—
644C4×Dic73—21no—
645C4×Dic73—21no—
646C4×Dic73—21no—
647C4×Dic73C2×D411yescharacteristic
648C4×Dic73C2×D411yescharacteristic
649C4×Dic73C2×D411yescharacteristic
650C4×Dic73C2×D411yescharacteristic
651C4×Dic73C2411yescharacteristic
652C4×Dic73C2411yescharacteristic
653#41×C73—22no—
654#41×C73—22no—
655#41×C73—82no—
656C2×Q8×C73—21no—
657C2×Q8×C73C2411yescharacteristic
658C2×D4×C73—21no—
659C2×D4×C73—21no—
660C2×D4×C73—21no—
661C2×D4×C73—21no—
662C2×D4×C73—21no—
663C2×D4×C73C2411yescharacteristic
664C2×D4×C73C2411yescharacteristic
665C2×D4×C73C2411yescharacteristic
666C22×C4×C73—21no—
667C22×C4×C73—21no—
668C22×C4×C73—21no—
669C22×C4×C73—21no—
670C22×C4×C73—21no—
671C22×C4×C73C2×D411yescharacteristic
672C22×C4×C73C2×D411yescharacteristic
673C22×C4×C73C2411yescharacteristic
674SD16×C73—22no—
675SD16×C73—22no—
676D8×C73—22no—
677D8×C73—22no—
678C2×C8×C73C2411yescharacteristic
679C2×C8×C73C2411yescharacteristic
680C2×C8×C73C2411yescharacteristic
681C2×C8×C73C2411yescharacteristic
682C4⋊C4×C73—21no—
683C4⋊C4×C73—21no—
684C4⋊C4×C73—21no—
685C4⋊C4×C73C2411yescharacteristic
686C4⋊C4×C73C2411yescharacteristic
687C4⋊C4×C73C2411yescharacteristic
688C4⋊C4×C73C2411yescharacteristic
689C22⋊C4×C73—21no—
690C22⋊C4×C73—21no—
691C22⋊C4×C73—21no—
692C22⋊C4×C73—21no—
693C22⋊C4×C73—21no—
694C22⋊C4×C73—21no—
695C22⋊C4×C73—21no—
696C42×C73—21no—
697C42×C73—21no—
698C42×C73—21no—
699C42×C73C2×D411yescharacteristic
700C42×C73C2×D411yescharacteristic
701C42×C73C2411yescharacteristic
702C42×C73C2411yescharacteristic
703C23×C73—21no—
704C23×C73—21no—
705C23×C73—21no—
706C23×C73C22×D411yescharacteristic
707C22×D73—21no—
708C22×D73—21no—
709C22×D73—24no—
710C22×D73—24no—
711C22×D73—24no—
712C22×D73—21no—
713C22×D73—42no—
714C22×D73—81no—
715C22×D73—81no—
716C22×D73—81no—
717C22×D73—81no—
718C22×D73—81no—
719C22×D73—81no—
720C22×D73—81no—
721C22×D73—81no—
722C22×D73C22×D411yescharacteristic
723C22×D73C22×D411yescharacteristic
724Q8×C73—21no—
725Q8×C73—81no—
726Q8×C73C2×#4112yes—
727D4×C73—24no—
728D4×C73—21no—
729D4×C73—21no—
730D4×C73—21no—
731D4×C73—21no—
732D4×C73—21no—
733D4×C73—81no—
734D4×C73—81no—
735D4×C73—81no—
736D4×C73—81no—
737D4×C73C2×#4112yes—
738C2×C4×C73—24no—
739C2×C4×C73—21no—
740C2×C4×C73—21no—
741C2×C4×C73—21no—
742C2×C4×C73—21no—
743C2×C4×C73—21no—
744C2×C4×C73—21no—
745C2×C4×C73—21no—
746C2×C4×C73—41no—
747C2×C4×C73—41no—
748C2×C4×C73—42no—
749C2×C4×C73—42no—
750C2×C4×C73—42no—
751C2×C4×C73—81no—
752C2×C4×C73C22×D411yescharacteristic
753C2×C4×C73C22×D411yescharacteristic
754C2×C4×C73C22×D411yescharacteristic
755C2×C4×C73C22×D411yescharacteristic
756C2×C4×C73C22×D411yescharacteristic
757C2×C4×C73C2511yescharacteristic
758C22⋊D73—24no—
759C22⋊D73—22no—
760C22⋊D73—22no—
761C22⋊D73—24no—
762C22⋊D73—42no—
763C22⋊D73—42no—
764C22⋊D73—81no—
765C22⋊D73—81no—
766C22⋊D73—81no—
767C22⋊D73—81no—
768C22⋊D73—81no—
769C2×Dic73—21no—
770C2×Dic73—21no—
771C2×Dic73—21no—
772C2×Dic73—21no—
773C2×Dic73—21no—
774C2×Dic73—42no—
775C2×Dic73—81no—
776C2×Dic73—81no—
777C2×Dic73—81no—
778C2×Dic73—81no—
779C2×Dic73—81no—
780C2×Dic73C22×D411yescharacteristic
781C2×Dic73C22×D411yescharacteristic
782C2×Dic73C22×D411yescharacteristic
783C2×Dic73C22×D411yescharacteristic
784C2×Dic73C22×D411yescharacteristic
785C2×Dic73C22×D411yescharacteristic
786D292—24no—
787D292—24no—
788D292—24no—
789D292—22no—
790D292—21no—
791D292—21no—
792D292—21no—
793D292—21no—
794D292—81no—
795D292C2×#4112yes—
796D292C2×#4112yes—
797C4×D73—24no—
798C4×D73—21no—
799C4×D73—21no—
800C4×D73—24no—
801C4×D73—41no—
802C4×D73—41no—
803C4×D73—41no—
804C4×D73—41no—
805C4×D73—42no—
806C4×D73—42no—
807C4×D73—42no—
808C4×D73—81no—
809C4×D73—81no—
810C4×D73—81no—
811C4×D73—81no—
812C4×D73—81no—
813C4×D73—81no—
814C4×D73—81no—
815C4×D73—81no—
816C4×D73—81no—
817C4×D73—81no—
818C4×D73C2×#4112yes—
819C4×D73C2×#4112yes—
820Dic146—22no—
821Dic146—21no—
822Dic146—21no—
823Dic146—81no—
824C8×C73—21no—
825C8×C73—21no—
826C8×C73—21no—
827C8×C73—21no—
828#10596831—21no—
829#10596831—21no—
830#10596831—21no—
831#10596831—21no—
832C22×C73—21no—
833C22×C73—21no—
834C22×C73—21no—
835C22×C73—22no—
836C22×C73—41no—
837C22×C73—41no—
838C22×C73—41no—
839C22×C73—41no—
840C22×C73—41no—
841C22×C73—41no—
842C22×C73—41no—
843C22×C73—41no—
844C22×C73C23×D411yescharacteristic
845C2×D73—21no—
846C2×D73—21no—
847C2×D73—21no—
848C2×D73—21no—
849C2×D73—21no—
850C2×D73—22no—
851C2×D73—22no—
852C2×D73—41no—
853C2×D73—41no—
854C2×D73—41no—
855C2×D73—41no—
856C2×D73—41no—
857C2×D73—41no—
858C2×D73—41no—
859C2×D73—84no—
860C2×D73—84no—
861C2×D73—84no—
862C2×D73—84no—
863C2×D73#52512yes—
864C4×C73—21no—
865C4×C73—21no—
866C4×C73—21no—
867C4×C73—21no—
868C4×C73—21no—
869C4×C73—22no—
870C4×C73—41no—
871C4×C73—41no—
872C4×C73—41no—
873C4×C73—41no—
874C4×C73C22×#4111yescharacteristic
875C4×C73C22×#4111yescharacteristic
876Dic73—21no—
877Dic73—21no—
878Dic73—21no—
879Dic73—21no—
880Dic73—21no—
881Dic73—41no—
882Dic73—41no—
883Dic73—41no—
884Dic73—41no—
885Dic73—41no—
886Dic73#52512yes—
887#60574—731nomaximal, Sylow
888C2×C73—41no—
889C2×C73—42no—
890C2×C73—81no—
891C2×C73—81no—
892C2×C73C2×#52511yescharacteristic
893C2×C73#358511yescharacteristic
894C2×C73#358511yescharacteristic
895D73—22no—
896D73—41no—
897D73—42no—
898D73—42no—
899D73—81no—
900#3460—731no—
901C4×H(5,𝔽2)—731no—
902#3125—731no—
903#3125—731no—
904#3122—731no—
905#3122—731no—
906#3119—731no—
907#3119—731no—
908#3118—731no—
909#3118—731no—
910#3115—731no—
911#3115D7311yescharacteristic, complemented
912#3114—731no—
913#3114—731no—
914#3111—731no—
915#3111—731no—
916#3109—731no—
917#3109—731no—
918#3099—731no—
919#3096—731no—
920#3084—731no—
921#3081—731no—
922#3045—731no—
923#3041—731no—
924#3012—731no—
925#3008—731no—
926C4×AGL(1,ℤ/8)—731no—
927C4×AGL(1,ℤ/8)—731no—
928#2943—731no—
929C2×#442—731no—
930#2923—731no—
931C73#6057411yescharacteristic, complemented, Sylow
932C2×H(5,𝔽2)—731no—
933C2×AGL(1,ℤ/8)—731no—
934C2×AGL(1,ℤ/8)—731no—
935C2×#135—731no—
936C22×D8—731no—
937#544—731no—
938#542—731no—
939#542—731no—
940#542—1461no—
941#540—731no—
942#540—731no—
943#540—1461no—
944#538—1461no—
945#538—1461no—
946#537—731no—
947#535—731no—
948#535—731no—
949#532—731no—
950#532—1461no—
951#532C2×D7311yescharacteristic, complemented
952#529—731no—
953#529—731no—
954#529—1461no—
955#525—1461no—
956#525—1461no—
957#520—731no—
958#520—731no—
959#520—731no—
960#520—731no—
961#520—1461no—
962#518—731no—
963#518—731no—
964#518—731no—
965#518—1461no—
966#518—1461no—
967#518—1461no—
968C4×#41—731no—
969C4×#41—731no—
970C4×#41—731no—
971C4×#41—731no—
972C4×#41—1461no—
973C4×#41C2×D7311yescharacteristic, complemented
974C2×C4×D4—731no—
975C2×C4×D4—731no—
976C2×C4×D4—731no—
977C2×C4×D4—731no—
978C2×C4×D4—1461no—
979C2×C4×D4—1461no—
980C2×C4×D4—1461no—
981#485—731no—
982#485—731no—
983#483—731no—
984#483—731no—
985#482—731no—
986#482—731no—
987#482—731no—
988#482—731no—
989#482C2×D7311yescharacteristic, complemented
990#482C2×D7311yescharacteristic, complemented
991#481—731no—
992#481—731no—
993#481—731no—
994#481—731no—
995#480—731no—
996#480—731no—
997#479—731no—
998#479—731no—
999#478—731no—
1000#478—731no—
1001#478—731no—
1002#478—731no—
1003#478—731no—
1004#478—731no—
1005#476—731no—
1006#476—731no—
1007#476—731no—
1008#476—731no—
1009#475—731no—
1010#475C2×D7311yescharacteristic, complemented
1011#474—731no—
1012#474C2×D7311yescharacteristic, complemented
1013#464—731no—
1014#464—731no—
1015#463—731no—
1016#463—731no—
1017#463—731no—
1018#463—731no—
1019#463—731no—
1020#463—731no—
1021#460—731no—
1022#460C2×D7311yescharacteristic, complemented
1023#459—731no—
1024#459—731no—
1025#459—731no—
1026#459—731no—
1027#459—731no—
1028#459C2×D7311yescharacteristic, complemented
1029#452—731no—
1030#452—731no—
1031#450—731no—
1032#450—731no—
1033#449—731no—
1034#449—731no—
1035#449—731no—
1036#449—731no—
1037#449C2×D7311yescharacteristic
1038#449C2×D7311yescharacteristic, complemented
1039#447—731no—
1040#447—731no—
1041#447—731no—
1042#447—731no—
1043#447—731no—
1044#447—731no—
1045#442—731no—
1046#442—731no—
1047#442—731no—
1048#442—731no—
1049#442—731no—
1050#442—731no—
1051#442—731no—
1052#442—731no—
1053#442—731no—
1054#442—731no—
1055#442—731no—
1056#442—731no—
1057#442C2×D7311yescharacteristic, complemented
1058#442C2×D7311yescharacteristic, complemented
1059#441—731no—
1060#441—731no—
1061#440—731no—
1062#440—731no—
1063#440—731no—
1064#440—731no—
1065#440—731no—
1066#440—731no—
1067#440C2×D7311yescharacteristic, complemented
1068#440C2×D7311yescharacteristic, complemented
1069C4×SD16—731no—
1070C4×SD16—731no—
1071C4×SD16—731no—
1072C4×SD16—731no—
1073C4×D8—731no—
1074C4×D8—731no—
1075C4×D8—731no—
1076C4×D8—731no—
1077#433—731no—
1078#433—731no—
1079#433—731no—
1080#433—731no—
1081#432—731no—
1082#432—731no—
1083#432—731no—
1084#432C2×D7311yescharacteristic, complemented
1085#428—731no—
1086#428—731no—
1087#427—731no—
1088C2×#106—731no—
1089#424—731no—
1090#424—731no—
1091#418—731no—
1092#418—731no—
1093#417—731no—
1094#417—731no—
1095#416—731no—
1096#416—731no—
1097C2×#102—731no—
1098C2×#102—731no—
1099#408—731no—
1100#408—731no—
1101C4×M16—731no—
1102C2×#97—731no—
1103H(5,𝔽2)—1464no—
1104H(5,𝔽2)—1464no—
1105C2×#41—21no—
1106C2×#41—731no—
1107C2×#41—731no—
1108C2×#41—731no—
1109C2×#41—731no—
1110C2×#41—1461no—
1111C2×#41—1461no—
1112C2×#41C22×D7311yescharacteristic
1113C22×D4—731no—
1114C22×D4—731no—
1115C22×D4—731no—
1116C22×D4—731no—
1117C22×D4—1461no—
1118C22×D4—1461no—
1119C22×D4—1461no—
1120C23×C4—1461no—
1121C23×C4—1461no—
1122C23×C4—1461no—
1123C23×C4—1461no—
1124AGL(1,ℤ/8)—1464no—
1125AGL(1,ℤ/8)—1464no—
1126#135—1464no—
1127C2×Q16—731no—
1128C2×SD16—731no—
1129C2×SD16—731no—
1130C2×SD16—731no—
1131C2×SD16—731no—
1132C2×SD16C22×D7311yescharacteristic
1133C2×SD16C22×D7311yescharacteristic
1134C2×D8—731no—
1135C2×D8—731no—
1136C2×D8—731no—
1137C2×D8—731no—
1138C2×D8—731no—
1139C2×D8—731no—
1140C2×D8—731no—
1141C2×D8—1464no—
1142C2×D8C22×D7311yescharacteristic
1143C2×D8C22×D7311yescharacteristic
1144C2×M16—731no—
1145C2×M16—731no—
1146C22×C8—731no—
1147C22×C8—731no—
1148C4⋊Q8—731no—
1149C4⋊Q8—1461no—
1150C4⋊Q8C22×D7311yescharacteristic
1151#127—731no—
1152#127—1461no—
1153#127C22×D7311yescharacteristic
1154#126—1461no—
1155#126—1461no—
1156#126—1461no—
1157#126—1461no—
1158#125—731no—
1159#125—731no—
1160#125—1461no—
1161#124—21no—
1162#124—731no—
1163#124—731no—
1164#124—1461no—
1165#124—1461no—
1166#124—1461no—
1167#124—1461no—
1168#123—1461no—
1169#123—1461no—
1170#123—1461no—
1171#123—1461no—
1172#123—1461no—
1173#123—1461no—
1174#123—1461no—
1175#123—1461no—
1176C22⋊Q8—731no—
1177C22⋊Q8—731no—
1178C22⋊Q8—1461no—
1179C22⋊Q8—1461no—
1180C22⋊Q8—1461no—
1181C22⋊Q8—1461no—
1182C22⋊Q8—1461no—
1183#121—21no—
1184#121—731no—
1185#121—731no—
1186#121—731no—
1187#121—731no—
1188#121—1461no—
1189#121—1461no—
1190#121—1461no—
1191#121—1461no—
1192#121—1461no—
1193#121—1461no—
1194#121—1461no—
1195#121—1461no—
1196#121—1461no—
1197#121—1461no—
1198#121C22×D7311yescharacteristic
1199#121C22×D7311yescharacteristic
1200#120—1461no—
1201#120—1461no—
1202#120—1461no—
1203#120—1461no—
1204C4×Q8—731no—
1205C4×Q8—731no—
1206C4×Q8—731no—
1207C4×Q8—731no—
1208C4×Q8—731no—
1209C4×Q8—731no—
1210C4×Q8—1461no—
1211C4×Q8C22×D7311yescharacteristic
1212C4×Q8C22×D7311yescharacteristic
1213C4×D4—21no—
1214C4×D4—21no—
1215C4×D4—21no—
1216C4×D4—731no—
1217C4×D4—731no—
1218C4×D4—731no—
1219C4×D4—731no—
1220C4×D4—731no—
1221C4×D4—731no—
1222C4×D4—731no—
1223C4×D4—731no—
1224C4×D4—731no—
1225C4×D4—731no—
1226C4×D4—731no—
1227C4×D4—731no—
1228C4×D4—731no—
1229C4×D4—731no—
1230C4×D4—731no—
1231C4×D4—731no—
1232C4×D4—731no—
1233C4×D4—731no—
1234C4×D4—731no—
1235C4×D4—731no—
1236C4×D4—1461no—
1237C4×D4—1461no—
1238C4×D4—1461no—
1239C4×D4—1461no—
1240C4×D4—1461no—
1241C4×D4—1461no—
1242C4×D4—1461no—
1243C4×D4—1461no—
1244C4×D4—1461no—
1245C4×D4—1461no—
1246C4×D4—1461no—
1247C4×D4—1461no—
1248C4×D4—1461no—
1249C4×D4—1461no—
1250C4×D4—1461no—
1251C4×D4—1461no—
1252C4×D4—1461no—
1253C4×D4—1461no—
1254C4×D4—1461no—
1255C4×D4—1461no—
1256C4×D4—1461no—
1257C4×D4—1461no—
1258C4×D4—1461no—
1259C4×D4—1461no—
1260C4×D4—1461no—
1261C4×D4—1461no—
1262C4×D4—1461no—
1263C4×D4—1461no—
1264C4×D4—1461no—
1265C4×D4—1461no—
1266C4×D4—1461no—
1267C4×D4—1461no—
1268C4×D4C22×D7311yescharacteristic
1269C4×D4C22×D7311yescharacteristic
1270C4×D4C22×D7311yescharacteristic
1271C4×D4C22×D7311yescharacteristic
1272#117—21no—
1273#117—731no—
1274#117—731no—
1275#117—731no—
1276#117—731no—
1277#117—731no—
1278#117—731no—
1279#117—1461no—
1280#117—1461no—
1281#117—1461no—
1282#117—1461no—
1283#117—1461no—
1284#117—1461no—
1285#117—1461no—
1286#117—1461no—
1287#117C22×D7311yescharacteristic
1288C2×C4⋊C4—731no—
1289C2×C4⋊C4—731no—
1290C2×C4⋊C4—731no—
1291C2×C4⋊C4—731no—
1292C2×C4⋊C4—1461no—
1293C2×C4⋊C4—1461no—
1294C2×C4⋊C4—1461no—
1295C2×C22⋊C4—1461no—
1296C2×C22⋊C4—1461no—
1297C2×C22⋊C4—1461no—
1298C2×C22⋊C4—1461no—
1299C2×C22⋊C4—1461no—
1300C2×C22⋊C4—1461no—
1301C2×C22⋊C4—1461no—
1302C2×C22⋊C4—1461no—
1303C2×C22⋊C4—1461no—
1304C2×C22⋊C4—1461no—
1305C2×C42—21no—
1306C2×C42—731no—
1307C2×C42—731no—
1308C2×C42—1461no—
1309C2×C42—1461no—
1310C2×C42—1461no—
1311C2×C42C22×D7311yescharacteristic
1312#107—731no—
1313#107—731no—
1314#107—731no—
1315#107—731no—
1316#107C22×D7311yescharacteristic
1317#107C22×D7311yescharacteristic
1318#106—731no—
1319#106—731no—
1320#106—731no—
1321#106—731no—
1322#106—731no—
1323#106—731no—
1324#106—731no—
1325#106—731no—
1326#106C22×D7311yescharacteristic
1327#106C22×D7311yescharacteristic
1328C4⋊C8—731no—
1329C4⋊C8—731no—
1330C4⋊C8—731no—
1331C4⋊C8—731no—
1332C4⋊C8—731no—
1333C4⋊C8—731no—
1334C4⋊C8C22×D7311yescharacteristic
1335C4⋊C8C22×D7311yescharacteristic
1336#103—731no—
1337#103—731no—
1338#103—731no—
1339#103—731no—
1340#103—731no—
1341#103—731no—
1342#103C22×D7311yescharacteristic
1343#103C22×D7311yescharacteristic
1344#102—731no—
1345#102—731no—
1346#102—731no—
1347#102—731no—
1348#102—731no—
1349#102—731no—
1350#102—731no—
1351#102—731no—
1352#102—731no—
1353#102—731no—
1354#102—731no—
1355#102—731no—
1356#102—731no—
1357#102—731no—
1358#102—731no—
1359#102—731no—
1360#102—731no—
1361#102—731no—
1362#102C22×D7311yescharacteristic
1363#102C22×D7311yescharacteristic
1364#102C22×D7311yescharacteristic
1365#102C22×D7311yescharacteristic
1366#102C22×D7311yescharacteristic
1367#102C22×D7311yescharacteristic
1368C22⋊C8—731no—
1369C22⋊C8—731no—
1370C22⋊C8—731no—
1371C22⋊C8—731no—
1372C22⋊C8—731no—
1373C22⋊C8—731no—
1374C22⋊C8C22×D7311yescharacteristic
1375C22⋊C8C22×D7311yescharacteristic
1376#97—731no—
1377#97—731no—
1378#97—731no—
1379#97—731no—
1380#97C22×D7311yescharacteristic
1381#97C22×D7311yescharacteristic
1382C4×C8—731no—
1383C4×C8—731no—
1384C24—1461no—
1385C24—1461no—
1386C24—1461no—
1387C24—1461no—
1388#41—22no—
1389#41—22no—
1390#41—82no—
1391#41—5842no—
1392#41—734no—
1393#41—1462no—
1394#41—1462no—
1395#41—1468no—
1396#41—1462no—
1397#41—1462no—
1398#41—1462no—
1399#41—1462no—
1400#41—1462no—
1401C2×Q8—21no—
1402C2×Q8—731no—
1403C2×Q8—731no—
1404C2×Q8—1461no—
1405C2×Q8C23×D7311yescharacteristic
1406C2×D4—21no—
1407C2×D4—21no—
1408C2×D4—21no—
1409C2×D4—21no—
1410C2×D4—21no—
1411C2×D4—734no—
1412C2×D4—731no—
1413C2×D4—731no—
1414C2×D4—731no—
1415C2×D4—731no—
1416C2×D4—731no—
1417C2×D4—731no—
1418C2×D4—1461no—
1419C2×D4—1462no—
1420C2×D4—1462no—
1421C2×D4—1461no—
1422C2×D4—1461no—
1423C2×D4—1468no—
1424C2×D4—1462no—
1425C2×D4—1462no—
1426C2×D4—1462no—
1427C2×D4—1461no—
1428C2×D4—1461no—
1429C2×D4—1461no—
1430C2×D4—1461no—
1431C2×D4—1461no—
1432C2×D4—1462no—
1433C2×D4—1468no—
1434C2×D4—1468no—
1435C2×D4—1461no—
1436C2×D4—1461no—
1437C2×D4—1461no—
1438C2×D4—1461no—
1439C2×D4—1462no—
1440C2×D4—1461no—
1441C2×D4C23×D7311yescharacteristic
1442C2×D4C23×D7311yescharacteristic
1443C2×D4C23×D7311yescharacteristic
1444C22×C4—21no—
1445C22×C4—21no—
1446C22×C4—21no—
1447C22×C4—21no—
1448C22×C4—21no—
1449C22×C4—5842no—
1450C22×C4—5842no—
1451C22×C4—5842no—
1452C22×C4—5842no—
1453C22×C4—731no—
1454C22×C4—731no—
1455C22×C4—731no—
1456C22×C4—731no—
1457C22×C4—731no—
1458C22×C4—731no—
1459C22×C4—1461no—
1460C22×C4—1461no—
1461C22×C4—1461no—
1462C22×C4—1461no—
1463C22×C4—1461no—
1464C22×C4—1461no—
1465C22×C4—1461no—
1466C22×C4—1461no—
1467C22×C4—1461no—
1468C22×C4—1461no—
1469C22×C4—1461no—
1470C22×C4—1461no—
1471C22×C4—1461no—
1472C22×C4—1461no—
1473C22×C4—1461no—
1474C22×C4—1461no—
1475C22×C4—1461no—
1476C22×C4—1461no—
1477C22×C4—1461no—
1478C22×C4—1461no—
1479C22×C4—1461no—
1480C22×C4D4×D7311yescharacteristic
1481C22×C4D4×D7311yescharacteristic
1482C22×C4C23×D7311yescharacteristic
1483Q16—1462no—
1484SD16—22no—
1485SD16—22no—
1486SD16—1462no—
1487SD16—1462no—
1488SD16—1462no—
1489SD16—1462no—
1490D8—22no—
1491D8—22no—
1492D8—1462no—
1493D8—1462no—
1494D8—1462no—
1495D8—1462no—
1496D8—1462no—
1497D8—1462no—
1498D8—1462no—
1499M16—1462no—
1500M16—1462no—
1501C2×C8—731no—
1502C2×C8—731no—
1503C2×C8—731no—
1504C2×C8—731no—
1505C2×C8—1462no—
1506C2×C8—1462no—
1507C2×C8C23×D7311yescharacteristic
1508C2×C8C23×D7311yescharacteristic
1509C2×C8C23×D7311yescharacteristic
1510C2×C8C23×D7311yescharacteristic
1511C4⋊C4—21no—
1512C4⋊C4—21no—
1513C4⋊C4—21no—
1514C4⋊C4—731no—
1515C4⋊C4—731no—
1516C4⋊C4—731no—
1517C4⋊C4—731no—
1518C4⋊C4—731no—
1519C4⋊C4—731no—
1520C4⋊C4—731no—
1521C4⋊C4—731no—
1522C4⋊C4—731no—
1523C4⋊C4—731no—
1524C4⋊C4—1461no—
1525C4⋊C4—1461no—
1526C4⋊C4—1461no—
1527C4⋊C4—1461no—
1528C4⋊C4—1461no—
1529C4⋊C4—1461no—
1530C4⋊C4—1461no—
1531C4⋊C4—1461no—
1532C4⋊C4—1461no—
1533C4⋊C4—1461no—
1534C4⋊C4—1461no—
1535C4⋊C4—1461no—
1536C4⋊C4—1461no—
1537C4⋊C4—1461no—
1538C4⋊C4—1461no—
1539C4⋊C4C23×D7311yescharacteristic
1540C4⋊C4C23×D7311yescharacteristic
1541C4⋊C4C23×D7311yescharacteristic
1542C4⋊C4C23×D7311yescharacteristic
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4—21no—
1548C22⋊C4—21no—
1549C22⋊C4—21no—
1550C22⋊C4—731no—
1551C22⋊C4—731no—
1552C22⋊C4—731no—
1553C22⋊C4—731no—
1554C22⋊C4—731no—
1555C22⋊C4—731no—
1556C22⋊C4—1461no—
1557C22⋊C4—1461no—
1558C22⋊C4—1461no—
1559C22⋊C4—1461no—
1560C22⋊C4—1461no—
1561C22⋊C4—1461no—
1562C22⋊C4—1461no—
1563C22⋊C4—1461no—
1564C22⋊C4—1461no—
1565C22⋊C4—1461no—
1566C22⋊C4—1461no—
1567C22⋊C4—1461no—
1568C22⋊C4—1461no—
1569C22⋊C4—1461no—
1570C22⋊C4—1461no—
1571C22⋊C4—1461no—
1572C22⋊C4—1461no—
1573C22⋊C4—1461no—
1574C22⋊C4—1461no—
1575C22⋊C4—1461no—
1576C22⋊C4—1461no—
1577C22⋊C4—1461no—
1578C22⋊C4—1461no—
1579C22⋊C4—1461no—
1580C22⋊C4—1461no—
1581C22⋊C4—1461no—
1582C22⋊C4—1461no—
1583C42—21no—
1584C42—21no—
1585C42—21no—
1586C42—731no—
1587C42—731no—
1588C42—731no—
1589C42—731no—
1590C42—731no—
1591C42—731no—
1592C42—1461no—
1593C42—1461no—
1594C42—1461no—
1595C42—1461no—
1596C42—1461no—
1597C42—1461no—
1598C42—1461no—
1599C42D4×D7311yescharacteristic
1600C42D4×D7311yescharacteristic
1601C42C23×D7311yescharacteristic
1602C42C23×D7311yescharacteristic
1603C23—21no—
1604C23—21no—
1605C23—21no—
1606C23—2922no—
1607C23—5841no—
1608C23—5841no—
1609C23—5841no—
1610C23—5841no—
1611C23—5841no—
1612C23—5841no—
1613C23—5841no—
1614C23—5841no—
1615C23—731no—
1616C23—731no—
1617C23—1464no—
1618C23—1464no—
1619C23—1464no—
1620C23—1461no—
1621C23—1461no—
1622C23—1461no—
1623C23C2×D4×D7311yescharacteristic
1624Q8—21no—
1625Q8—81no—
1626Q8—5841no—
1627Q8—1462no—
1628Q8—1461no—
1629Q8—1461no—
1630Q8#41×D7312yes—
1631D4—24no—
1632D4—21no—
1633D4—21no—
1634D4—21no—
1635D4—21no—
1636D4—21no—
1637D4—81no—
1638D4—81no—
1639D4—81no—
1640D4—81no—
1641D4—2922no—
1642D4—2922no—
1643D4—5841no—
1644D4—5841no—
1645D4—5841no—
1646D4—5841no—
1647D4—5841no—
1648D4—5841no—
1649D4—732no—
1650D4—732no—
1651D4—1462no—
1652D4—1464no—
1653D4—1464no—
1654D4—1464no—
1655D4—1462no—
1656D4—1464no—
1657D4—1462no—
1658D4—1464no—
1659D4—1461no—
1660D4—1461no—
1661D4—1461no—
1662D4—1461no—
1663D4#41×D7312yes—
1664C2×C4—24no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—41no—
1673C2×C4—41no—
1674C2×C4—42no—
1675C2×C4—42no—
1676C2×C4—42no—
1677C2×C4—81no—
1678C2×C4—2922no—
1679C2×C4—2922no—
1680C2×C4—2922no—
1681C2×C4—2921no—
1682C2×C4—2921no—
1683C2×C4—2921no—
1684C2×C4—2921no—
1685C2×C4—2922no—
1686C2×C4—5841no—
1687C2×C4—5841no—
1688C2×C4—5841no—
1689C2×C4—5841no—
1690C2×C4—5841no—
1691C2×C4—5841no—
1692C2×C4—5841no—
1693C2×C4—5841no—
1694C2×C4—5841no—
1695C2×C4—5841no—
1696C2×C4—5841no—
1697C2×C4—5841no—
1698C2×C4—5841no—
1699C2×C4—5841no—
1700C2×C4—5841no—
1701C2×C4—731no—
1702C2×C4—732no—
1703C2×C4—732no—
1704C2×C4—731no—
1705C2×C4—731no—
1706C2×C4—731no—
1707C2×C4—731no—
1708C2×C4—731no—
1709C2×C4—1464no—
1710C2×C4—1464no—
1711C2×C4—1461no—
1712C2×C4—1461no—
1713C2×C4—1461no—
1714C2×C4—1461no—
1715C2×C4—1461no—
1716C2×C4—1461no—
1717C2×C4—1461no—
1718C2×C4C2×D4×D7311yescharacteristic
1719C2×C4C2×D4×D7311yescharacteristic
1720C2×C4C2×D4×D7311yescharacteristic
1721C2×C4C2×D4×D7311yescharacteristic
1722C2×C4C2×D4×D7311yescharacteristic
1723C2×C4C24×D7311yescharacteristic
1724C8—21no—
1725C8—21no—
1726C8—21no—
1727C8—21no—
1728C8—1461no—
1729C8—1461no—
1730C8—1461no—
1731C8—1461no—
1732C22—21no—
1733C22—22no—
1734C22—21no—
1735C22—21no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—41no—
1742C22—41no—
1743C22—41no—
1744C22—2921no—
1745C22—2921no—
1746C22—2921no—
1747C22—2921no—
1748C22—2921no—
1749C22—2921no—
1750C22—2921no—
1751C22—5844no—
1752C22—5844no—
1753C22—5844no—
1754C22—5844no—
1755C22—732no—
1756C22—1462no—
1757C22—1462no—
1758C22—1461no—
1759C22—1461no—
1760C22—1461no—
1761C22—1461no—
1762C22—1461no—
1763C22C22×D4×D7311yescharacteristic
1764C4—21no—
1765C4—22no—
1766C4—21no—
1767C4—21no—
1768C4—21no—
1769C4—21no—
1770C4—41no—
1771C4—41no—
1772C4—41no—
1773C4—41no—
1774C4—2921no—
1775C4—2921no—
1776C4—2921no—
1777C4—2921no—
1778C4—2921no—
1779C4—732no—
1780C4—1461no—
1781C4—1461no—
1782C4—1461no—
1783C4—1461no—
1784C4—1461no—
1785C4C2×#41×D7311yescharacteristic
1786C4C2×#41×D7311yescharacteristic
1787C2—41no—
1788C2—42no—
1789C2—81no—
1790C2—81no—
1791C2—2922no—
1792C2—2922no—
1793C2—2921no—
1794C2—5841no—
1795C2—1462no—
1796C2#525×D7311yescharacteristic
1797C2#2262470711yescharacteristic
1798C2#2262470811yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3115C2
socleC22×C73C23×D4
hypercenter#3115D73
hypocenterC73#60574
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3115

Complements

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

NH ≅ G/Ntype
1. #22623345C2semidirect
2. C4×#14556637C2semidirect
3. #22620215C2semidirect
4. #22620209C2semidirect
5. #22620172C2semidirect
6. #22620170C2semidirect
7. #22620129C2semidirect
8. #22620123C2semidirect
9. #22620122C2semidirect
10. #22620110C2semidirect
11. #22620080C2semidirect
12. #22620071C2semidirect
13. #22620067C2semidirect
14. #22620040C2semidirect
15. #22620038C2semidirect
16. #22620020C2semidirect
17. #22620018C2semidirect
18. #22619923C2semidirect
19. #22619886C2semidirect
20. #22619790C2semidirect
21. #22619755C2semidirect
22. #22619467C2semidirect
23. #22619429C2semidirect
24. #22619233C2semidirect
25. #22619196C2semidirect
26. #22618742C2semidirect
27. #22618736C2semidirect
28. #22618726C2semidirect
29. #442×D73C2semidirect
30. #22618577C2semidirect
31. C73×#3115C2semidirect
37. #17989214C22semidirect
38. #17989211C22semidirect
39. #17989204C22semidirect
41. #17989191C22semidirect
42. #17989190C22semidirect
48. #17989150C22semidirect
49. #17989134C22semidirect
51. #17989121C22semidirect
52. #17989119C22semidirect
56. #17989070C22semidirect
58. #17989069C22semidirect
62. #17989061C22semidirect
66. #17989059C22semidirect
68. C4×#11924029C22semidirect
71. C4×#11924027C22semidirect
73. C2×C4×D292C22semidirect
77. C4×D4×D73C22semidirect
78. C4×D4×D73C22semidirect
79. #17988930C22semidirect
80. #17988928C22semidirect
81. #17988919C22semidirect
82. #17988918C22semidirect
83. #17988914C22semidirect
84. #17988911C22semidirect
85. #17988910C22semidirect
86. #17988909C22semidirect
87. #17988907C22semidirect
88. #17988904C22semidirect
89. #17988903C22semidirect
90. #17988903C22semidirect
91. #17988901C22semidirect
92. #17988899C22semidirect
93. #17988896C22semidirect
94. #17988894C22semidirect
95. #17988890C22semidirect
96. #17988888C22semidirect
97. #17988888C22semidirect
98. #17988887C22semidirect
99. #17988886C22semidirect
100. #17988885C22semidirect
101. #17988876C22semidirect
102. #17988875C22semidirect
103. #17988874C22semidirect
104. #17988874C22semidirect
105. #17988870C22semidirect
106. #17988866C22semidirect
107. #17988809C22semidirect
108. #17988807C22semidirect
109. #17988803C22semidirect
110. #17988803C22semidirect
111. #17988802C22semidirect
112. #17988801C22semidirect
113. #17988801C22semidirect
114. #17988800C22semidirect
115. #17988785C22semidirect
116. #17988781C22semidirect
117. #17988781C22semidirect
118. #17988780C22semidirect
119. #17988779C22semidirect
120. #17988779C22semidirect
121. #17988752C22semidirect
122. #17988749C22semidirect
123. #17988740C22semidirect
124. #17988739C22semidirect
128. #17988731C22semidirect
132. #17988720C22semidirect
134. #17988719C22semidirect
135. #17988700C22semidirect
136. #17988700C22semidirect
137. #17988699C22semidirect
138. #17988698C22semidirect
139. #17988697C22semidirect
140. #17988697C22semidirect
141. #17988697C22semidirect
142. #17988697C22semidirect
143. #17988697C22semidirect
144. #17988696C22semidirect
145. #17988696C22semidirect
146. #17988696C22semidirect
147. #17988692C22semidirect
148. #17988691C22semidirect
149. #17988689C22semidirect
150. #17988689C22semidirect
151. #17988688C22semidirect
152. #17988687C22semidirect
153. #17988686C22semidirect
154. #17988685C22semidirect
155. #17988678C22semidirect
156. SD16×Dic73C22semidirect
157. #17988674C22semidirect
158. #17988672C22semidirect
159. D8×Dic73C22semidirect
160. #17988669C22semidirect
161. #17988667C22semidirect
162. #17988667C22semidirect
163. #17988647C22semidirect
164. #17988647C22semidirect
165. #17988645C22semidirect
166. #17988645C22semidirect
167. #17988644C22semidirect
168. #17988642C22semidirect
169. #17988642C22semidirect
170. #17988628C22semidirect
171. #17988626C22semidirect
172. #17988624C22semidirect
173. #106×D73C22semidirect
174. #17988612C22semidirect
175. #17988612C22semidirect
177. #17988590C22semidirect
179. #17988585C22semidirect
181. #17988580C22semidirect
183. #102×D73C22semidirect
186. #17988539C22semidirect
187. #97×D73C22semidirect
188. #532×C73C22semidirect
189. C4×#41×C73C22semidirect
190. #482×C73C22semidirect
191. #482×C73C22semidirect
192. #475×C73C22semidirect
193. #474×C73C22semidirect
194. #460×C73C22semidirect
195. #459×C73C22semidirect
197. #449×C73C22semidirect
198. #442×C73C22semidirect
199. #442×C73C22semidirect
200. #440×C73C22semidirect
201. #440×C73C22semidirect
202. #432×C73C22semidirect
491. #11924029#41semidirect
530. D4×D73#41semidirect
911. #3115D73semidirect
931. C73#60574semidirect
951. #532C2×D73semidirect
973. C4×#41C2×D73semidirect
989. #482C2×D73semidirect
990. #482C2×D73semidirect
1010. #475C2×D73semidirect
1012. #474C2×D73semidirect
1022. #460C2×D73semidirect
1028. #459C2×D73semidirect
1038. #449C2×D73semidirect
1057. #442C2×D73semidirect
1058. #442C2×D73semidirect
1067. #440C2×D73semidirect
1068. #440C2×D73semidirect
1084. #432C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226233452
C4×#145566372
#226202152
#226202092
#226201722
#226201702
#226201292
#226201232
#226201222
#226201102
#226200802
#226200712
#226200672
#226200402
#226200382
#226200202
#226200182
#226199232
#226198862
#226197902
#226197552
#226194672
#226194292
#226192332
#226191962
#226187422
#226187362
#226187262
#442×D732
#226185772
C73×#31152
#6057473