Finite Group Databasebeta

← #30573602

Subgroups — #30573602

Order 15616.

1836 conjugacy classes of subgroups.

The subgroup lattice has 1758 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21460339C211yesmaximal, characteristic
2#21459916C211yesmaximal, characteristic, complemented
3#21458874C211yesmaximal, characteristic, complemented
4#21458872C211yesmaximal, characteristic, complemented
5#21458587C211yesmaximal, characteristic, complemented
6#21457854C211yesmaximal, characteristic, complemented
7#21457852C211yesmaximal, characteristic, complemented
8#21457839C211yesmaximal, characteristic, complemented
9#21457837C211yesmaximal, characteristic, complemented
10#21457705C211yesmaximal, characteristic, complemented
11#21457703C211yesmaximal, characteristic, complemented
12SD16×D244C211yesmaximal, characteristic, complemented
13#21457510C211yesmaximal, characteristic, complemented
14#21457391C211yesmaximal, characteristic, complemented
15#21457384C211yesmaximal, characteristic, complemented
16#21457331C211yesmaximal, characteristic, complemented
17#21457324C211yesmaximal, characteristic, complemented
18#21457251C211yesmaximal, characteristic, complemented
19#21457249C211yesmaximal, characteristic, complemented
20#21457137C211yesmaximal, characteristic, complemented
21#21456894C211yesmaximal, characteristic, complemented
22#21456892C211yesmaximal, characteristic, complemented
23#21456823C211yesmaximal, characteristic, complemented
24#21456052C211yesmaximal, characteristic, complemented
25#21456044C211yesmaximal, characteristic, complemented
26#21455939C211yesmaximal, characteristic, complemented
27#21455338C211yesmaximal, characteristic, complemented
28#21455335C211yesmaximal, characteristic, complemented
29#464×D61C211yesmaximal, characteristic, complemented
30#21454957C211yesmaximal, characteristic, complemented
31C61×#3371C211yesmaximal, characteristic, complemented
32C2×#14519809C2211yescharacteristic, complemented
33C2×#14519806C2211yescharacteristic, complemented
34C2×Q16×D61C2211yescharacteristic, complemented
35C2×SD16×D61C2211yescharacteristic
36C2×SD16×D61C2211yescharacteristic, complemented
37C2×SD16×D61C2211yescharacteristic, complemented
38#16840509—21no—
39#16840504—21no—
40#16840497C2211yescharacteristic
41#16840491—21no—
42#16840491C2211yescharacteristic, complemented
43#16840486—21no—
44#16840486C2211yescharacteristic, complemented
45#16840450—21no—
46#16840450—21no—
47#16840450C2211yescharacteristic, complemented
48#16840450C2211yescharacteristic, complemented
49Q8×D244C2211yescharacteristic, complemented
50Q8×D244C2211yescharacteristic, complemented
51Q8×D244C2211yescharacteristic, complemented
52#16840424C2211yescharacteristic
53#16840420C2211yescharacteristic
54#16840408—21no—
55#16840407C2211yescharacteristic
56#16840405C2211yescharacteristic
57#16840404—21no—
58D4×D244C2211yescharacteristic
59#16840397C2211yescharacteristic
60#16840384C2211yescharacteristic
61#16840377C2211yescharacteristic
62#16840375—21no—
63#16840375—21no—
64#16840375C2211yescharacteristic, complemented
65#16840375C2211yescharacteristic, complemented
66#16840348—21no—
67#16840346—21no—
68#16840345—21no—
69#16840330C2211yescharacteristic
70#16840325C2211yescharacteristic
71#16840323—21no—
72#16840317—21no—
73#16840317C2211yescharacteristic, complemented
74#16840309C2211yescharacteristic
75#16840299—21no—
76#16840299C2211yescharacteristic
77#124×D61C2211yescharacteristic
78#16840238C2211yescharacteristic, complemented
79#16840238C2211yescharacteristic, complemented
80C4×Q8×D61C2211yescharacteristic, complemented
81#16840157C2211yescharacteristic, complemented
82#16840157C2211yescharacteristic, complemented
83#16840156C2211yescharacteristic, complemented
84#16840156C2211yescharacteristic, complemented
85#16840135C2211yescharacteristic
86#16840134C2211yescharacteristic
87#16840128C2211yescharacteristic
88#16840124C2211yescharacteristic, complemented
89#16840119C2211yescharacteristic, complemented
90#16840106C2211yescharacteristic, complemented
91#16840102C2211yescharacteristic, complemented
92#16840088C2211yescharacteristic
93#16840084C2211yescharacteristic
94#16840077C2211yescharacteristic, complemented
95#16840074C2211yescharacteristic, complemented
96#16840066C2211yescharacteristic, complemented
97#16840059C2211yescharacteristic, complemented
98#16840056C2211yescharacteristic, complemented
99#16840055C2211yescharacteristic, complemented
100#16840049C2211yescharacteristic, complemented
101#16840046C2211yescharacteristic, complemented
102#16840046C2211yescharacteristic, complemented
103#16840021C2211yescharacteristic, complemented
104#16840019C2211yescharacteristic, complemented
105#16840009C2211yescharacteristic
106#16840007C2211yescharacteristic
107#16840004C2211yescharacteristic, complemented
108#16840002C2211yescharacteristic, complemented
109#16839992C2211yescharacteristic
110#16839992C2211yescharacteristic, complemented
111#16839992C2211yescharacteristic, complemented
112#16839990C2211yescharacteristic
113#16839990C2211yescharacteristic, complemented
114#16839990C2211yescharacteristic, complemented
115#16839987C2211yescharacteristic, complemented
116#16839987C2211yescharacteristic, complemented
117#16839987C2211yescharacteristic, complemented
118#16839986C2211yescharacteristic, complemented
119#16839985C2211yescharacteristic, complemented
120#16839985C2211yescharacteristic, complemented
121#16839984C2211yescharacteristic, complemented
122#16839984C2211yescharacteristic, complemented
123#16839983C2211yescharacteristic, complemented
124#16839983C2211yescharacteristic, complemented
125#16839983C2211yescharacteristic, complemented
126#16839982C2211yescharacteristic, complemented
127#16839981C2211yescharacteristic, complemented
128#16839981C2211yescharacteristic, complemented
129#16839973C2211yescharacteristic, complemented
130#16839972C2211yescharacteristic, complemented
131#16839968C2211yescharacteristic, complemented
132#16839968C2211yescharacteristic, complemented
133#16839967C2211yescharacteristic, complemented
134#16839967C2211yescharacteristic, complemented
135#16839963C2211yescharacteristic
136#16839962C2211yescharacteristic
137#16839961C2211yescharacteristic, complemented
138#16839961C2211yescharacteristic, complemented
139#16839961C2211yescharacteristic, complemented
140#16839960C2211yescharacteristic, complemented
141#16839959C2211yescharacteristic
142#16839927C2211yescharacteristic, complemented
143#16839927C2211yescharacteristic, complemented
144#16839925C2211yescharacteristic, complemented
145#16839925C2211yescharacteristic, complemented
146#16839919C2211yescharacteristic, complemented
147#16839919C2211yescharacteristic, complemented
148#16839919C2211yescharacteristic, complemented
149#16839916C2211yescharacteristic, complemented
150#16839914C2211yescharacteristic
151#16839914C2211yescharacteristic
152#16839914C2211yescharacteristic, complemented
153#16839914C2211yescharacteristic, complemented
154#16839914C2211yescharacteristic, complemented
155#16839914C2211yescharacteristic, complemented
156#16839902C2211yescharacteristic
157#16839902C2211yescharacteristic, complemented
158#16839899C2211yescharacteristic
159#16839899C2211yescharacteristic, complemented
160#16839893C2211yescharacteristic, complemented
161#16839867C2211yescharacteristic, complemented
162#16839864C2211yescharacteristic, complemented
163#16839864C2211yescharacteristic, complemented
164#16839862C2211yescharacteristic, complemented
165#16839862C2211yescharacteristic, complemented
166#16839860C2211yescharacteristic, complemented
167C4×Dic244C2211yescharacteristic, complemented
168C4×#11758202C2211yescharacteristic, complemented
169C4×#11758201C2211yescharacteristic, complemented
170#16839835C2211yescharacteristic, complemented
171#16839835C2211yescharacteristic, complemented
172#16839832C2211yescharacteristic, complemented
173#16839832C2211yescharacteristic, complemented
174C8×D244C2211yescharacteristic, complemented
175#16839827C2211yescharacteristic, complemented
176#16839824C2211yescharacteristic, complemented
177#16839821C2211yescharacteristic, complemented
178#16839817C2211yescharacteristic, complemented
179#16839787C2211yescharacteristic, complemented
180#16839787C2211yescharacteristic, complemented
181C4⋊C8×D61C2211yescharacteristic, complemented
182#16839765C2211yescharacteristic, complemented
183#16839765C2211yescharacteristic, complemented
184#16839757C2211yescharacteristic, complemented
185#16839755C2211yescharacteristic, complemented
186#103×D61C2211yescharacteristic, complemented
187#102×D61C2211yescharacteristic
188C61×#559C2211yescharacteristic
189C61×#557C2211yescharacteristic, complemented
190C61×#490C2211yescharacteristic
191C61×#489C2211yescharacteristic, complemented
192C61×#488C2211yescharacteristic, complemented
193C61×#479C2211yescharacteristic, complemented
194C61×#478C2211yescharacteristic, complemented
195C61×#476C2211yescharacteristic, complemented
196C61×#464C2211yescharacteristic, complemented
197C61×#464C2211yescharacteristic, complemented
198C61×#460C2211yescharacteristic
199C61×#446C2211yescharacteristic, complemented
200C61×#441C2211yescharacteristic, complemented
201C61×#440C2211yescharacteristic, complemented
202C4×SD16×C61C2211yescharacteristic, complemented
203C2×#11758226C2311yescharacteristic
204C2×#11758222—21no—
205C2×#11758224C2311yescharacteristic
206C2×Q8×D61C2311yescharacteristic
207C2×Q8×D61C2311yescharacteristic
208C2×Q8×D61C2311yescharacteristic
209C2×Q8×D61C2311yescharacteristic
210C22×D244—21no—
211C2×D4×D61—21no—
212C2×D4×D61C2311yescharacteristic
213C2×D4×D61C2311yescharacteristic
214C2×D4×D61C2311yescharacteristic
215#14519809—42no—
216#14519806—42no—
217C2×Dic244C2311yescharacteristic
218C2×Dic244C2311yescharacteristic
219C2×Dic244C2311yescharacteristic
220C2×#11758202C2311yescharacteristic
221C2×#11758202C2311yescharacteristic
222C2×#11758202C2311yescharacteristic
223C2×#11758202C2311yescharacteristic
224Q16×D61—42no—
225C2×#11758190C2311yescharacteristic
226C2×#11758190C2311yescharacteristic
227C2×#11758190C2311yescharacteristic
228C2×#11758190C2311yescharacteristic
229C2×#11758190C2311yescharacteristic
230C2×#11758190C2311yescharacteristic
231C2×#11758200C2311yescharacteristic
232C2×#11758200C2311yescharacteristic
233C2×#11758200C2311yescharacteristic
234C2×#11758200C2311yescharacteristic
235C2×#11758200C2311yescharacteristic
236C2×#11758200C2311yescharacteristic
237C2×#11758201C2311yescharacteristic
238C2×#11758201C2311yescharacteristic
239SD16×D61—42no—
240SD16×D61—42no—
241SD16×D61—42no—
242C2×#11758189C2311yescharacteristic
243C2×#11758189C2311yescharacteristic
244C2×C8×D61C2311yescharacteristic
245C2×C8×D61C2311yescharacteristic
246C2×C8×D61C2311yescharacteristic
247C2×C8×D61C2311yescharacteristic
248#14519777—21no—
249#14519777—21no—
250#14519777—21no—
251#14519777C2311yescharacteristic
252#14519777C2311yescharacteristic
253#14519777C2311yescharacteristic
254#14519776C2311yescharacteristic
255#14519774C2311yescharacteristic
256#14519773C2311yescharacteristic
257#14519772—21no—
258#14519772—21no—
259#14519772—21no—
260#14519772—21no—
261#14519772—21no—
262#14519772—21no—
263#14519772—21no—
264#14519772—21no—
265#14519772D411yescharacteristic
266#14519772D411yescharacteristic
267#14519771—21no—
268#14519770—21no—
269#14519768—21no—
270#14519768—21no—
271#14519768—21no—
272#14519768—21no—
273#14519768—21no—
274#14519768—21no—
275#14519768—21no—
276#14519768—21no—
277#14519768—21no—
278#14519768—21no—
279#14519768D411yescharacteristic
280#14519766—21no—
281#14519766—21no—
282#14519766D411yescharacteristic
283#14519766C2311yescharacteristic
284#14519765—21no—
285#14519765—21no—
286#14519765C2311yescharacteristic
287#14519765C2311yescharacteristic
288#14519764C2311yescharacteristic
289#14519763—21no—
290#14519763—21no—
291#14519763—21no—
292#14519763—21no—
293#14519763—21no—
294#14519762—21no—
295#14519762—21no—
296#14519762—21no—
297#14519762—21no—
298#14519762—21no—
299#14519762D411yescharacteristic
300#14519762D411yescharacteristic
301#14519761—21no—
302#14519760—21no—
303#14519759—21no—
304#14519757—21no—
305#14519757—21no—
306#14519757—21no—
307#14519757—21no—
308#14519757—21no—
309#14519757—21no—
310#14519757—21no—
311#14519757C2311yescharacteristic
312#14519757C2311yescharacteristic
313#14519757C2311yescharacteristic
314#14519757C2311yescharacteristic
315#14519757C2311yescharacteristic
316#14519757C2311yescharacteristic
317#14519757C2311yescharacteristic
318#14519756—21no—
319#14519755—21no—
320#14519754—21no—
321#14519753—21no—
322#14519753D411yescharacteristic
323#14519753C2311yescharacteristic
324#14519752—21no—
325#14519752D411yescharacteristic
326#14519752C2311yescharacteristic
327#14519752C2311yescharacteristic
328#14519751—21no—
329#14519751—21no—
330#14519750—21no—
331#14519750—21no—
332#14519750—21no—
333#14519750—21no—
334#14519750—21no—
335#14519749—21no—
336#14519749—21no—
337#14519748—21no—
338#14519748C2311yescharacteristic
339#14519748C2311yescharacteristic
340#14519747—21no—
341#14519747—21no—
342#14519747—21no—
343#14519747—21no—
344#14519747—21no—
345#14519747—21no—
346#14519745—21no—
347#14519745—21no—
348#14519745—21no—
349#14519745—21no—
350Q8×Dic61—21no—
351Q8×Dic61—21no—
352Q8×Dic61—21no—
353Q8×Dic61C2311yescharacteristic
354C4×Dic122—21no—
355C4×Dic122—21no—
356C4×Dic122—21no—
357C4×Dic122C2311yescharacteristic
358C4×Dic122C2311yescharacteristic
359C4×Dic122C2311yescharacteristic
360C4×Dic122C2311yescharacteristic
361#14519742—21no—
362#14519742—21no—
363#14519742—21no—
364#14519742C2311yescharacteristic
365#14519742C2311yescharacteristic
366#14519742C2311yescharacteristic
367C4×D244—21no—
368C4×D244—21no—
369C4×D244—21no—
370C4×D244—21no—
371C4×D244C2311yescharacteristic
372C4×D244C2311yescharacteristic
373C4×D244C2311yescharacteristic
374C4×D244C2311yescharacteristic
375C4×D244C2311yescharacteristic
376#14519739—21no—
377C4×C22⋊D61—21no—
378#14519737—21no—
379#14519735—21no—
380#14519735—21no—
381#14519735—21no—
382#14519735—21no—
383#14519735—21no—
384#14519735C2311yescharacteristic
385#14519735C2311yescharacteristic
386#14519734—21no—
387#14519734—21no—
388#14519734C2311yescharacteristic
389#14519734C2311yescharacteristic
390C4⋊C4×D61—21no—
391C4⋊C4×D61C2311yescharacteristic
392C2×#11758198—21no—
393C22⋊C4×D61—21no—
394C22⋊C4×D61—21no—
395C22⋊C4×D61—21no—
396C42×D61—21no—
397C42×D61C2311yescharacteristic
398#14519711C2311yescharacteristic
399#14519710C2311yescharacteristic
400#14519710C2311yescharacteristic
401#14519708C2311yescharacteristic
402#14519708C2311yescharacteristic
403C4⋊#92418C2311yescharacteristic
404C4⋊#92418C2311yescharacteristic
405C4⋊#92418C2311yescharacteristic
406#14519706C2311yescharacteristic
407#14519706C2311yescharacteristic
408#14519706C2311yescharacteristic
409#14519706C2311yescharacteristic
410#14519702C2311yescharacteristic
411#14519702C2311yescharacteristic
412#14519702C2311yescharacteristic
413#14519702C2311yescharacteristic
414#14519701C2311yescharacteristic
415#14519701C2311yescharacteristic
416#14519700C2311yescharacteristic
417#14519700C2311yescharacteristic
418#14519700C2311yescharacteristic
419#14519700C2311yescharacteristic
420#14519700C2311yescharacteristic
421#14519700C2311yescharacteristic
422#14519699C2311yescharacteristic
423#14519699C2311yescharacteristic
424#14519698C2311yescharacteristic
425#14519698C2311yescharacteristic
426#14519697C2311yescharacteristic
427#14519697C2311yescharacteristic
428#14519697C2311yescharacteristic
429#14519697C2311yescharacteristic
430#14519697C2311yescharacteristic
431#14519697C2311yescharacteristic
432#14519689C2311yescharacteristic
433#14519689C2311yescharacteristic
434#14519689C2311yescharacteristic
435#14519689C2311yescharacteristic
436#14519689C2311yescharacteristic
437#14519689C2311yescharacteristic
438#14519688C2311yescharacteristic
439#14519688C2311yescharacteristic
440C4×#92418C2311yescharacteristic
441C2×Q16×C61C2311yescharacteristic
442C2×SD16×C61C2311yescharacteristic
443C2×SD16×C61C2311yescharacteristic
444C4⋊Q8×C61—21no—
445C4⋊Q8×C61C2311yescharacteristic
446#127×C61C2311yescharacteristic
447#125×C61—21no—
448#125×C61—21no—
449#125×C61C2311yescharacteristic
450#125×C61C2311yescharacteristic
451#124×C61—21no—
452#124×C61C2311yescharacteristic
453#124×C61C2311yescharacteristic
454#123×C61—21no—
455#123×C61—21no—
456C4×Q8×C61—21no—
457C4×Q8×C61C2311yescharacteristic
458C4×Q8×C61C2311yescharacteristic
459C4×Q8×C61C2311yescharacteristic
460C4×Q8×C61C2311yescharacteristic
461C4×Q8×C61C2311yescharacteristic
462C4×D4×C61—21no—
463C4×D4×C61C2311yescharacteristic
464C4×D4×C61C2311yescharacteristic
465#107×C61C2311yescharacteristic
466#106×C61C2311yescharacteristic
467#106×C61C2311yescharacteristic
468C4⋊C8×C61C2311yescharacteristic
469C4⋊C8×C61C2311yescharacteristic
470C4⋊C8×C61C2311yescharacteristic
471#103×C61C2311yescharacteristic
472#103×C61C2311yescharacteristic
473#103×C61C2311yescharacteristic
474#103×C61C2311yescharacteristic
475#102×C61C2311yescharacteristic
476#102×C61C2311yescharacteristic
477#102×C61C2311yescharacteristic
478#102×C61C2311yescharacteristic
479#102×C61C2311yescharacteristic
480#102×C61C2311yescharacteristic
481#97×C61C2311yescharacteristic
482#97×C61C2311yescharacteristic
483C4×C8×C61C2311yescharacteristic
484C23×D61—21no—
485C23×D61—21no—
486C23×D61—21no—
487C2×Q8×C61—21no—
488C2×Q8×C61C2×D411yescharacteristic
489C2×Q8×C61C2411yescharacteristic
490C2×Q8×C61C2411yescharacteristic
491C2×D4×C61—21no—
492C2×D4×C61—21no—
493C2×D4×C61C2411yescharacteristic
494C2×D4×C61C2411yescharacteristic
495C22×C4×C61—21no—
496C22×C4×C61—21no—
497C2×C22⋊D61—21no—
498C2×C22⋊D61—21no—
499C2×C22⋊D61—21no—
500C2×C22⋊D61—21no—
501C2×C22⋊D61—21no—
502C2×C22⋊D61—21no—
503C2×C22⋊D61—21no—
504C2×C22⋊D61—21no—
505C22×Dic61—21no—
506#11758226—41no—
507#11758226—41no—
508Q8×D61—22no—
509Q8×D61—22no—
510Q8×D61—22no—
511Q8×D61—41no—
512Q8×D61—41no—
513Q8×D61—41no—
514Q8×D61—41no—
515Q8×D61—41no—
516#11758224—41no—
517#11758224—41no—
518D4×D61—41no—
519D4×D61—41no—
520D4×D61—41no—
521D4×D61—41no—
522D4×D61—41no—
523D4×D61—41no—
524D4×D61—82no—
525#11758222—82no—
526C2×D244—21no—
527C2×D244—21no—
528C2×D244—21no—
529C2×D244—21no—
530C2×D244—21no—
531C2×D244—82no—
532C2×D244C2×D411yescharacteristic
533C2×D244C2×D411yescharacteristic
534C2×D244C2×D411yescharacteristic
535C2×D244C2411yescharacteristic
536C2×D244C2411yescharacteristic
537C2×C4×D61—21no—
538C2×C4×D61—21no—
539C2×C4×D61—21no—
540C2×C4×D61—21no—
541C2×C4×D61—21no—
542C2×C4×D61—21no—
543C2×C4×D61—21no—
544C2×C4×D61—21no—
545C2×C4×D61C2×D411yescharacteristic
546C2×C4×D61C2×D411yescharacteristic
547C2×C4×D61C2411yescharacteristic
548C2×C4×D61C2411yescharacteristic
549C2×C4×D61C2411yescharacteristic
550C2×Dic122—21no—
551C2×Dic122—21no—
552C2×Dic122—21no—
553C2×Dic122—21no—
554C2×Dic122—21no—
555C2×Dic122C2411yescharacteristic
556C2×Dic122C2411yescharacteristic
557C2×Dic122C2411yescharacteristic
558C2×Dic122C2411yescharacteristic
559Q16×C61—22no—
560SD16×C61—22no—
561SD16×C61—22no—
562C2×C8×C61C2411yescharacteristic
563C2×C8×C61C2411yescharacteristic
564C2×C8×C61C2411yescharacteristic
565C2×C8×C61C2411yescharacteristic
566C4⋊C4×C61—21no—
567C4⋊C4×C61—21no—
568C4⋊C4×C61—21no—
569C4⋊C4×C61—21no—
570C4⋊C4×C61—21no—
571C4⋊C4×C61—21no—
572C4⋊C4×C61—21no—
573C4⋊C4×C61—21no—
574C4⋊C4×C61—21no—
575C4⋊C4×C61C2×D411yescharacteristic
576C4⋊C4×C61C2×D411yescharacteristic
577C4⋊C4×C61C2×D411yescharacteristic
578C4⋊C4×C61C2411yescharacteristic
579C4⋊C4×C61C2411yescharacteristic
580C4⋊C4×C61C2411yescharacteristic
581C4⋊C4×C61C2411yescharacteristic
582C22⋊C4×C61—21no—
583C22⋊C4×C61—21no—
584C22⋊C4×C61—21no—
585C22⋊C4×C61—21no—
586C22⋊C4×C61—21no—
587C22⋊C4×C61—21no—
588C42×C61—21no—
589C42×C61—21no—
590C42×C61—21no—
591C42×C61—21no—
592C42×C61C2411yescharacteristic
593C42×C61C2411yescharacteristic
594C42×C61C2411yescharacteristic
595C22⋊Dic61—21no—
596C22⋊Dic61—21no—
597C22⋊Dic61—21no—
598C22⋊Dic61—21no—
599#11758202—22no—
600#11758202—41no—
601#11758202—41no—
602#11758202—41no—
603#11758201—22no—
604#11758201—22no—
605#11758200—41no—
606#11758200—41no—
607#11758200—41no—
608#11758200—41no—
609#11758200—41no—
610#11758200—41no—
611#11758198—21no—
612#11758198—21no—
613#11758198—21no—
614#11758198—21no—
615#11758198—21no—
616#11758198—21no—
617#11758198—21no—
618#11758198—21no—
619#11758198—21no—
620#11758198—21no—
621#11758198—21no—
622#11758198—21no—
623#11758198—21no—
624#11758198—21no—
625#11758198—21no—
626#11758198—21no—
627#11758198—21no—
628#11758198—21no—
629#11758198—21no—
630#11758198—21no—
631#11758198C2×D411yescharacteristic
632#11758198C2×D411yescharacteristic
633#11758198C2×D411yescharacteristic
634#11758198C2×D411yescharacteristic
635#11758198C2×D411yescharacteristic
636#11758198C2×D411yescharacteristic
637#11758198C2×D411yescharacteristic
638#11758198C2×D411yescharacteristic
639#11758198C2×D411yescharacteristic
640#11758198C2×D411yescharacteristic
641C4⋊Dic61—21no—
642C4⋊Dic61—21no—
643C4⋊Dic61—21no—
644C4⋊Dic61—21no—
645C4⋊Dic61—21no—
646C4⋊Dic61—21no—
647C4⋊Dic61—21no—
648C4⋊Dic61—21no—
649C4⋊Dic61—21no—
650C4⋊Dic61—21no—
651C4⋊Dic61—21no—
652C4⋊Dic61—21no—
653C4⋊Dic61—21no—
654C4⋊Dic61—21no—
655C4⋊Dic61C2×D411yescharacteristic
656C4⋊Dic61C2×D411yescharacteristic
657C4⋊Dic61C2×D411yescharacteristic
658C4⋊Dic61C2411yescharacteristic
659C4⋊Dic61C2411yescharacteristic
660#11758196—21no—
661#11758196—21no—
662#11758196—21no—
663#11758196—21no—
664#11758196—21no—
665#11758196—21no—
666#11758196—21no—
667#11758196—21no—
668#11758196—21no—
669#11758196—21no—
670#11758196C2×D411yescharacteristic
671#11758196C2×D411yescharacteristic
672#11758196C2×D411yescharacteristic
673#11758196C2×D411yescharacteristic
674C4×Dic61—21no—
675C4×Dic61—21no—
676C4×Dic61—21no—
677C4×Dic61—21no—
678C4×Dic61—21no—
679C4×Dic61—21no—
680C4×Dic61—21no—
681C4×Dic61—21no—
682C4×Dic61—21no—
683C4×Dic61—21no—
684C4×Dic61C2×D411yescharacteristic
685C4×Dic61C2×D411yescharacteristic
686C4×Dic61C2411yescharacteristic
687C2×#92418C2411yescharacteristic
688C2×#92418C2411yescharacteristic
689C2×#92418C2411yescharacteristic
690C2×#92418C2411yescharacteristic
691Dic244—41no—
692Dic244—41no—
693Dic244—41no—
694#11758190—41no—
695#11758190—41no—
696#11758190—41no—
697#11758190—41no—
698#11758190—41no—
699#11758190—41no—
700#11758189—41no—
701#11758189—41no—
702C8×D61—41no—
703C8×D61—41no—
704C8×D61—41no—
705C8×D61—41no—
706C23×C61—21no—
707C23×C61—21no—
708C22×D61—21no—
709C22×D61—21no—
710C22×D61—42no—
711C22×D61—81no—
712C22×D61—81no—
713C22×D61—81no—
714C22×D61—81no—
715C22×D61—81no—
716C22×D61—81no—
717C22×D61—81no—
718C22×D61—81no—
719C22×D61C22×D411yescharacteristic
720C22×D61C22×D411yescharacteristic
721C22×D61C22×D411yescharacteristic
722Q8×C61—21no—
723Q8×C61—21no—
724Q8×C61—21no—
725Q8×C61—41no—
726Q8×C61—42no—
727Q8×C61H(5,𝔽2)12yes—
728D4×C61—21no—
729D4×C61—21no—
730D4×C61—21no—
731D4×C61—21no—
732D4×C61—81no—
733D4×C61—81no—
734C2×C4×C61—21no—
735C2×C4×C61—21no—
736C2×C4×C61—21no—
737C2×C4×C61—21no—
738C2×C4×C61—21no—
739C2×C4×C61—21no—
740C2×C4×C61—81no—
741C2×C4×C61—81no—
742C2×C4×C61C22×D411yescharacteristic
743C2×C4×C61C22×D411yescharacteristic
744C2×C4×C61C22×D411yescharacteristic
745C2×C4×C61C22×D411yescharacteristic
746C2×C4×C61C22×D411yescharacteristic
747C2×C4×C61C22×D411yescharacteristic
748C2×C4×C61C2511yescharacteristic
749C22⋊D61—42no—
750C22⋊D61—81no—
751C22⋊D61—81no—
752C22⋊D61—81no—
753C22⋊D61—81no—
754C22⋊D61—81no—
755C22⋊D61—81no—
756C22⋊D61—81no—
757C2×Dic61—21no—
758C2×Dic61—21no—
759C2×Dic61—21no—
760C2×Dic61—21no—
761C2×Dic61—21no—
762C2×Dic61—21no—
763C2×Dic61—81no—
764C2×Dic61C22×D411yescharacteristic
765C2×Dic61C22×D411yescharacteristic
766C2×Dic61C22×D411yescharacteristic
767C2×Dic61C22×D411yescharacteristic
768C2×Dic61C22×D411yescharacteristic
769D244—22no—
770D244—22no—
771D244—21no—
772D244—21no—
773D244—21no—
774D244—21no—
775D244—41no—
776D244—42no—
777D244—81no—
778D244—81no—
779D244—81no—
780D244—81no—
781C4×D61—22no—
782C4×D61—21no—
783C4×D61—21no—
784C4×D61—21no—
785C4×D61—21no—
786C4×D61—21no—
787C4×D61—21no—
788C4×D61—41no—
789C4×D61—42no—
790C4×D61—42no—
791C4×D61—42no—
792C4×D61—42no—
793C4×D61—81no—
794C4×D61—81no—
795C4×D61—81no—
796C4×D61—81no—
797Dic122—21no—
798Dic122—21no—
799Dic122—21no—
800Dic122—21no—
801Dic122—21no—
802Dic122—21no—
803Dic122—21no—
804Dic122—21no—
805Dic122—42no—
806Dic122—42no—
807Dic122—42no—
808Dic122—81no—
809Dic122—81no—
810C8×C61—21no—
811C8×C61—21no—
812C8×C61—21no—
813C8×C61—21no—
814#92418—21no—
815#92418—21no—
816#92418—21no—
817#92418—21no—
818#62019—611nomaximal, Sylow
819C22×C61—41no—
820C22×C61—41no—
821C22×C61—41no—
822C22×C61—41no—
823C22×C61—41no—
824C22×C61—41no—
825C22×C61C23×D411yescharacteristic
826C2×D61—21no—
827C2×D61—21no—
828C2×D61—21no—
829C2×D61—21no—
830C2×D61—21no—
831C2×D61—21no—
832C2×D61—21no—
833C2×D61—21no—
834C2×D61—41no—
835C2×D61—41no—
836C2×D61—41no—
837C2×D61—41no—
838C2×D61—41no—
839C2×D61—41no—
840C2×D61—162no—
841C2×D61—162no—
842C2×D61—162no—
843C2×D61#57712yes—
844C4×C61—21no—
845C4×C61—21no—
846C4×C61—21no—
847C4×C61—22no—
848C4×C61—21no—
849C4×C61—21no—
850C4×C61—21no—
851C4×C61—41no—
852C4×C61—41no—
853C4×C61—41no—
854C4×C61—41no—
855C4×C61—41no—
856C4×C61C2×H(5,𝔽2)11yescharacteristic
857C4×C61#58511yescharacteristic
858Dic61—21no—
859Dic61—21no—
860Dic61—21no—
861Dic61—21no—
862Dic61—21no—
863Dic61—41no—
864Dic61—41no—
865Dic61—41no—
866Dic61—41no—
867Dic61—41no—
868Dic61—41no—
869#3558—611no—
870#3523—611no—
871#3400—611no—
872#3400—611no—
873#3371—611no—
874#3371D6111yescharacteristic, complemented
875#3311—611no—
876#3311—611no—
877#3310—611no—
878#3310—611no—
879#3300—611no—
880#3300—611no—
881D4×SD16—611no—
882D4×SD16—611no—
883#3270—611no—
884#3270—611no—
885#3266—611no—
886#3266—611no—
887#3258—611no—
888#3258—611no—
889#3246—611no—
890#3222—611no—
891#3222—611no—
892#3215—611no—
893#3121—611no—
894#3121—611no—
895#3112—611no—
896#3043—611no—
897#3043—611no—
898C2×#464—611no—
899#2992—611no—
900C2×C61—81no—
901C2×C61—81no—
902C2×C61#348811yescharacteristic
903C2×C61C2×#57711yescharacteristic
904C2×C61#358611yescharacteristic
905D61—22no—
906D61—41no—
907D61—41no—
908D61—81no—
909D61—81no—
910C2×#137—611no—
911C2×#137—611no—
912C22×Q16—611no—
913C22×SD16—611no—
914C22×SD16—611no—
915C22×SD16—611no—
916#562—1221no—
917H(3,𝔽4)—1221no—
918#559—611no—
919#559C2×D6111yescharacteristic
920#557—611no—
921#557—1221no—
922#557C2×D6111yescharacteristic, complemented
923#556—611no—
924#556—1221no—
925#552—611no—
926#552—611no—
927#552—1221no—
928#552—1221no—
929D4×Q8—611no—
930D4×Q8—611no—
931D4×Q8—611no—
932#548—611no—
933#548—611no—
934#546—611no—
935#546—611no—
936#546—1221no—
937#546—1221no—
938D42—611no—
939D42—611no—
940#542—611no—
941#542—611no—
942#541—611no—
943#541—611no—
944#541—1221no—
945#541—1221no—
946#538—1221no—
947#538—1221no—
948#538—1221no—
949#535—611no—
950#535—611no—
951#534—1221no—
952#533—611no—
953#533—1221no—
954#532—611no—
955#529—611no—
956#529—1221no—
957C2×#124—611no—
958#519—611no—
959#519—611no—
960C2×C4×Q8—611no—
961#497—611no—
962#497—611no—
963#497—611no—
964#497—611no—
965#492—611no—
966#492—611no—
967#490—611no—
968#490C2×D6111yescharacteristic
969#489—611no—
970#489C2×D6111yescharacteristic, complemented
971#488—611no—
972#488C2×D6111yescharacteristic, complemented
973#485—611no—
974#485—611no—
975#482—611no—
976#482—611no—
977#480—611no—
978#480—611no—
979#479—611no—
980#479C2×D6111yescharacteristic, complemented
981#478—611no—
982#478C2×D6111yescharacteristic, complemented
983#477—611no—
984#477—611no—
985#476—611no—
986#476C2×D6111yescharacteristic, complemented
987#475—611no—
988#475—611no—
989#470—611no—
990#470—611no—
991#468—611no—
992#468—611no—
993#467—611no—
994#467—611no—
995#465—611no—
996#465—611no—
997#465—611no—
998#465—611no—
999#465—611no—
1000#465—611no—
1001#464—611no—
1002#464—611no—
1003#464—611no—
1004#464—611no—
1005#464—611no—
1006#464—611no—
1007#464—611no—
1008#464—611no—
1009#464—611no—
1010#464—611no—
1011#464—611no—
1012#464—611no—
1013#464—611no—
1014#464—611no—
1015#464C2×D6111yescharacteristic, complemented
1016#464C2×D6111yescharacteristic, complemented
1017#462—611no—
1018#462—611no—
1019#461—611no—
1020#461—611no—
1021#461—611no—
1022#461—611no—
1023#460—611no—
1024#460—611no—
1025#460—611no—
1026#460—611no—
1027#460—611no—
1028#460—611no—
1029#460—611no—
1030#460C2×D6111yescharacteristic
1031#452—611no—
1032#452—611no—
1033#452—611no—
1034#452—611no—
1035#451—611no—
1036#451—611no—
1037#451—611no—
1038#451—611no—
1039#450—611no—
1040#450—611no—
1041#450—611no—
1042#450—611no—
1043#450—611no—
1044#450—611no—
1045#448—611no—
1046#448—611no—
1047#448—611no—
1048#448—611no—
1049#446—611no—
1050#446C2×D6111yescharacteristic, complemented
1051#441—611no—
1052#441C2×D6111yescharacteristic, complemented
1053#440—611no—
1054#440—611no—
1055#440—611no—
1056#440—611no—
1057#440—611no—
1058#440C2×D6111yescharacteristic, complemented
1059C4×Q16—611no—
1060C4×Q16—611no—
1061C4×SD16—611no—
1062C4×SD16C2×D6111yescharacteristic, complemented
1063#435—611no—
1064#435—611no—
1065#435—611no—
1066#435—611no—
1067C8×D4—611no—
1068C8×D4—611no—
1069#433—611no—
1070#433—611no—
1071#432—611no—
1072#424—611no—
1073#424—611no—
1074C2×C4⋊C8—611no—
1075#418—611no—
1076#418—611no—
1077#416—611no—
1078#416—611no—
1079C2×#103—611no—
1080C2×#102—611no—
1081C61#6201911yescharacteristic, complemented, Sylow
1082C2×#41—611no—
1083C2×#41—611no—
1084C2×#41—1221no—
1085C22×Q8—611no—
1086C22×Q8—611no—
1087C22×Q8—611no—
1088C22×Q8—611no—
1089C22×D4—611no—
1090C22×D4—611no—
1091C22×D4—611no—
1092C22×D4—1221no—
1093C22×D4—1221no—
1094#137—2442no—
1095#137—2442no—
1096C2×Q16—611no—
1097C2×Q16—611no—
1098C2×Q16—611no—
1099C2×Q16—611no—
1100C2×Q16—611no—
1101C2×Q16—611no—
1102C2×Q16—611no—
1103C2×Q16—2442no—
1104C2×Q16C22×D6111yescharacteristic
1105C2×SD16—611no—
1106C2×SD16—611no—
1107C2×SD16—611no—
1108C2×SD16—611no—
1109C2×SD16—611no—
1110C2×SD16—611no—
1111C2×SD16—611no—
1112C2×SD16—611no—
1113C2×SD16—611no—
1114C2×SD16—611no—
1115C2×SD16—611no—
1116C2×SD16—611no—
1117C2×SD16—611no—
1118C2×SD16—611no—
1119C2×SD16—2442no—
1120C2×SD16—2442no—
1121C2×SD16—2442no—
1122C2×SD16C22×D6111yescharacteristic
1123C2×SD16C22×D6111yescharacteristic
1124C2×M16—611no—
1125C2×M16—611no—
1126C22×C8—611no—
1127C22×C8—611no—
1128C22×C8—611no—
1129C22×C8—611no—
1130C4⋊Q8—21no—
1131C4⋊Q8—611no—
1132C4⋊Q8—611no—
1133C4⋊Q8—611no—
1134C4⋊Q8—611no—
1135C4⋊Q8—1221no—
1136C4⋊Q8—1221no—
1137C4⋊Q8—1221no—
1138C4⋊Q8C22×D6111yescharacteristic
1139#127—611no—
1140#127—611no—
1141#127C22×D6111yescharacteristic
1142#126—611no—
1143#126—611no—
1144#126—1221no—
1145#126—1221no—
1146#126—1221no—
1147#126—1221no—
1148#126—1221no—
1149#126—1221no—
1150#126—1221no—
1151#126—1221no—
1152#126—1221no—
1153#126—1221no—
1154#125—21no—
1155#125—21no—
1156#125—611no—
1157#125—1221no—
1158#125—1221no—
1159#125—1221no—
1160#125—1221no—
1161#125—1221no—
1162#125—1221no—
1163#125—1221no—
1164#125—1221no—
1165#125—1221no—
1166#125—1221no—
1167#125C22×D6111yescharacteristic
1168#125C22×D6111yescharacteristic
1169#124—21no—
1170#124—611no—
1171#124—611no—
1172#124—611no—
1173#124—611no—
1174#124—611no—
1175#124—1221no—
1176#124—1221no—
1177#124—1221no—
1178#124—1221no—
1179#124—1221no—
1180#124—1221no—
1181#124—1221no—
1182#124—1221no—
1183#124—1221no—
1184#124C22×D6111yescharacteristic
1185#124C22×D6111yescharacteristic
1186#123—21no—
1187#123—21no—
1188#123—611no—
1189#123—611no—
1190#123—1221no—
1191#123—1221no—
1192#123—1221no—
1193#123—1221no—
1194#123—1221no—
1195#123—1221no—
1196#123—1221no—
1197#123—1221no—
1198C22⋊Q8—611no—
1199C22⋊Q8—611no—
1200C22⋊Q8—611no—
1201C22⋊Q8—611no—
1202C22⋊Q8—611no—
1203C22⋊Q8—611no—
1204C22⋊Q8—611no—
1205C22⋊Q8—611no—
1206C22⋊Q8—611no—
1207C22⋊Q8—1221no—
1208C22⋊Q8—1221no—
1209C22⋊Q8—1221no—
1210C22⋊Q8—1221no—
1211C22⋊Q8—1221no—
1212C22⋊Q8—1221no—
1213C22⋊Q8—1221no—
1214C22⋊Q8—1221no—
1215C22⋊Q8—1221no—
1216C22⋊Q8—1221no—
1217C22⋊Q8—1221no—
1218#121—611no—
1219#121—611no—
1220#121—611no—
1221#121—611no—
1222#121—611no—
1223#121—1221no—
1224#121—1221no—
1225#121—1221no—
1226#121—1221no—
1227#121—1221no—
1228#121—1221no—
1229#121—1221no—
1230#121—1221no—
1231#121—1221no—
1232#121—1221no—
1233#121—1221no—
1234#120—1221no—
1235#120—1221no—
1236#120—1221no—
1237#120—1221no—
1238#120—1221no—
1239#120—1221no—
1240#120—1221no—
1241#120—1221no—
1242#120—1221no—
1243#120—1221no—
1244C4×Q8—21no—
1245C4×Q8—611no—
1246C4×Q8—611no—
1247C4×Q8—611no—
1248C4×Q8—611no—
1249C4×Q8—611no—
1250C4×Q8—611no—
1251C4×Q8—611no—
1252C4×Q8—611no—
1253C4×Q8—1221no—
1254C4×Q8—1221no—
1255C4×Q8—1221no—
1256C4×Q8—1221no—
1257C4×Q8—1221no—
1258C4×Q8—1221no—
1259C4×Q8—1221no—
1260C4×Q8—1221no—
1261C4×Q8—1221no—
1262C4×Q8C22×D6111yescharacteristic
1263C4×Q8C22×D6111yescharacteristic
1264C4×Q8C22×D6111yescharacteristic
1265C4×Q8C22×D6111yescharacteristic
1266C4×Q8C22×D6111yescharacteristic
1267C4×D4—21no—
1268C4×D4—611no—
1269C4×D4—611no—
1270C4×D4—611no—
1271C4×D4—611no—
1272C4×D4—611no—
1273C4×D4—1221no—
1274C4×D4—1221no—
1275C4×D4—1221no—
1276C4×D4—1221no—
1277C4×D4—1221no—
1278C4×D4—1221no—
1279C4×D4—1221no—
1280C4×D4C22×D6111yescharacteristic
1281C4×D4C22×D6111yescharacteristic
1282#117—611no—
1283#117—611no—
1284#117—611no—
1285#117—611no—
1286#117—1221no—
1287#117—1221no—
1288#117—1221no—
1289#117—1221no—
1290#117—1221no—
1291#117—1221no—
1292#117—1221no—
1293C2×C4⋊C4—611no—
1294C2×C4⋊C4—1221no—
1295C2×C22⋊C4—1221no—
1296C2×C22⋊C4—1221no—
1297C2×C22⋊C4—1221no—
1298C2×C22⋊C4—1221no—
1299C2×C42—611no—
1300C2×C42—1221no—
1301#107—611no—
1302#107—611no—
1303#107—611no—
1304#107C22×D6111yescharacteristic
1305#106—611no—
1306#106—611no—
1307#106C22×D6111yescharacteristic
1308#106C22×D6111yescharacteristic
1309C4⋊C8—611no—
1310C4⋊C8—611no—
1311C4⋊C8—611no—
1312C4⋊C8—611no—
1313C4⋊C8—611no—
1314C4⋊C8—611no—
1315C4⋊C8—611no—
1316C4⋊C8C22×D6111yescharacteristic
1317C4⋊C8C22×D6111yescharacteristic
1318C4⋊C8C22×D6111yescharacteristic
1319#103—611no—
1320#103—611no—
1321#103—611no—
1322#103—611no—
1323#103—611no—
1324#103—611no—
1325#103—611no—
1326#103—611no—
1327#103—611no—
1328#103—611no—
1329#103—611no—
1330#103—611no—
1331#103C22×D6111yescharacteristic
1332#103C22×D6111yescharacteristic
1333#103C22×D6111yescharacteristic
1334#103C22×D6111yescharacteristic
1335#102—611no—
1336#102—611no—
1337#102—611no—
1338#102—611no—
1339#102—611no—
1340#102—611no—
1341#102—611no—
1342#102—611no—
1343#102—611no—
1344#102—611no—
1345#102C22×D6111yescharacteristic
1346#102C22×D6111yescharacteristic
1347#102C22×D6111yescharacteristic
1348#102C22×D6111yescharacteristic
1349#102C22×D6111yescharacteristic
1350#102C22×D6111yescharacteristic
1351C22⋊C8—611no—
1352C22⋊C8—611no—
1353C22⋊C8—611no—
1354C22⋊C8—611no—
1355C22⋊C8—611no—
1356C22⋊C8—611no—
1357#97—611no—
1358#97—611no—
1359#97C22×D6111yescharacteristic
1360#97C22×D6111yescharacteristic
1361C4×C8—611no—
1362C4×C8C22×D6111yescharacteristic
1363C24—1221no—
1364C24—1221no—
1365C24—1221no—
1366#41—4882no—
1367#41—2441no—
1368#41—2441no—
1369#41—2441no—
1370#41—2441no—
1371C2×Q8—21no—
1372C2×Q8—611no—
1373C2×Q8—611no—
1374C2×Q8—611no—
1375C2×Q8—611no—
1376C2×Q8—1221no—
1377C2×Q8—1221no—
1378C2×Q8—1221no—
1379C2×Q8—1221no—
1380C2×Q8—1221no—
1381C2×Q8—1222no—
1382C2×Q8—1222no—
1383C2×Q8—1222no—
1384C2×Q8—2441no—
1385C2×Q8—2441no—
1386C2×Q8—2441no—
1387C2×Q8—2441no—
1388C2×Q8—2441no—
1389C2×Q8D4×D6111yescharacteristic
1390C2×Q8C23×D6111yescharacteristic
1391C2×Q8C23×D6111yescharacteristic
1392C2×D4—21no—
1393C2×D4—21no—
1394C2×D4—611no—
1395C2×D4—611no—
1396C2×D4—611no—
1397C2×D4—611no—
1398C2×D4—611no—
1399C2×D4—1221no—
1400C2×D4—1221no—
1401C2×D4—1221no—
1402C2×D4—1221no—
1403C2×D4—1221no—
1404C2×D4—1221no—
1405C2×D4—1221no—
1406C2×D4—1221no—
1407C2×D4—1221no—
1408C2×D4—1221no—
1409C2×D4—1221no—
1410C2×D4—1221no—
1411C2×D4—1221no—
1412C2×D4—4882no—
1413C2×D4—4882no—
1414C2×D4—2441no—
1415C2×D4—2441no—
1416C2×D4—2441no—
1417C2×D4—2441no—
1418C2×D4—2441no—
1419C2×D4—2441no—
1420C2×D4C23×D6111yescharacteristic
1421C2×D4C23×D6111yescharacteristic
1422C22×C4—21no—
1423C22×C4—21no—
1424C22×C4—611no—
1425C22×C4—611no—
1426C22×C4—611no—
1427C22×C4—611no—
1428C22×C4—611no—
1429C22×C4—1221no—
1430C22×C4—1221no—
1431C22×C4—1221no—
1432C22×C4—1221no—
1433C22×C4—1221no—
1434C22×C4—1221no—
1435C22×C4—1221no—
1436C22×C4—1221no—
1437C22×C4—1221no—
1438Q16—22no—
1439Q16—1222no—
1440Q16—2441no—
1441Q16—2441no—
1442Q16—2441no—
1443Q16—2441no—
1444Q16—2441no—
1445Q16—2441no—
1446SD16—22no—
1447SD16—22no—
1448SD16—1222no—
1449SD16—1222no—
1450SD16—2441no—
1451SD16—2441no—
1452SD16—2441no—
1453SD16—2441no—
1454SD16—2441no—
1455SD16—2441no—
1456SD16—2441no—
1457SD16—2441no—
1458SD16—2441no—
1459SD16—2441no—
1460SD16—2441no—
1461SD16—2441no—
1462M16—2441no—
1463M16—2441no—
1464C2×C8—611no—
1465C2×C8—611no—
1466C2×C8—611no—
1467C2×C8—611no—
1468C2×C8—2441no—
1469C2×C8—2441no—
1470C2×C8—2441no—
1471C2×C8—2441no—
1472C2×C8C23×D6111yescharacteristic
1473C2×C8C23×D6111yescharacteristic
1474C2×C8C23×D6111yescharacteristic
1475C2×C8C23×D6111yescharacteristic
1476C4⋊C4—21no—
1477C4⋊C4—21no—
1478C4⋊C4—21no—
1479C4⋊C4—21no—
1480C4⋊C4—21no—
1481C4⋊C4—21no—
1482C4⋊C4—21no—
1483C4⋊C4—21no—
1484C4⋊C4—21no—
1485C4⋊C4—611no—
1486C4⋊C4—611no—
1487C4⋊C4—611no—
1488C4⋊C4—611no—
1489C4⋊C4—611no—
1490C4⋊C4—611no—
1491C4⋊C4—611no—
1492C4⋊C4—611no—
1493C4⋊C4—611no—
1494C4⋊C4—1221no—
1495C4⋊C4—1221no—
1496C4⋊C4—1221no—
1497C4⋊C4—1221no—
1498C4⋊C4—1221no—
1499C4⋊C4—1221no—
1500C4⋊C4—1221no—
1501C4⋊C4—1221no—
1502C4⋊C4—1221no—
1503C4⋊C4—1221no—
1504C4⋊C4—1221no—
1505C4⋊C4—1221no—
1506C4⋊C4—1221no—
1507C4⋊C4—1221no—
1508C4⋊C4—1221no—
1509C4⋊C4—1221no—
1510C4⋊C4—1221no—
1511C4⋊C4—1221no—
1512C4⋊C4—1221no—
1513C4⋊C4—1221no—
1514C4⋊C4—1221no—
1515C4⋊C4—1221no—
1516C4⋊C4—1221no—
1517C4⋊C4—1221no—
1518C4⋊C4D4×D6111yescharacteristic
1519C4⋊C4D4×D6111yescharacteristic
1520C4⋊C4D4×D6111yescharacteristic
1521C4⋊C4C23×D6111yescharacteristic
1522C4⋊C4C23×D6111yescharacteristic
1523C4⋊C4C23×D6111yescharacteristic
1524C4⋊C4C23×D6111yescharacteristic
1525C22⋊C4—21no—
1526C22⋊C4—21no—
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—611no—
1532C22⋊C4—611no—
1533C22⋊C4—611no—
1534C22⋊C4—611no—
1535C22⋊C4—611no—
1536C22⋊C4—611no—
1537C22⋊C4—611no—
1538C22⋊C4—611no—
1539C22⋊C4—611no—
1540C22⋊C4—611no—
1541C22⋊C4—1221no—
1542C22⋊C4—1221no—
1543C22⋊C4—1221no—
1544C22⋊C4—1221no—
1545C22⋊C4—1221no—
1546C22⋊C4—1221no—
1547C22⋊C4—1221no—
1548C22⋊C4—1221no—
1549C22⋊C4—1221no—
1550C22⋊C4—1221no—
1551C22⋊C4—1221no—
1552C22⋊C4—1221no—
1553C22⋊C4—1221no—
1554C22⋊C4—1221no—
1555C22⋊C4—1221no—
1556C22⋊C4—1221no—
1557C22⋊C4—1221no—
1558C22⋊C4—1221no—
1559C22⋊C4—1221no—
1560C22⋊C4—1221no—
1561C22⋊C4—1221no—
1562C22⋊C4—1221no—
1563C22⋊C4—1221no—
1564C22⋊C4—1221no—
1565C42—21no—
1566C42—21no—
1567C42—21no—
1568C42—21no—
1569C42—611no—
1570C42—611no—
1571C42—611no—
1572C42—1221no—
1573C42—1221no—
1574C42—1221no—
1575C42—1221no—
1576C42—1221no—
1577C42—1221no—
1578C42—1221no—
1579C42—1221no—
1580C42—1221no—
1581C42—1221no—
1582C42C23×D6111yescharacteristic
1583C42C23×D6111yescharacteristic
1584C42C23×D6111yescharacteristic
1585C23—21no—
1586C23—21no—
1587C23—611no—
1588C23—611no—
1589C23—611no—
1590C23—1221no—
1591C23—1221no—
1592C23—4881no—
1593C23—4881no—
1594C23—4881no—
1595C23—4881no—
1596C23—4881no—
1597C23—4881no—
1598C23—4881no—
1599C23—4881no—
1600C23—2442no—
1601Q8—21no—
1602Q8—21no—
1603Q8—21no—
1604Q8—41no—
1605Q8—42no—
1606Q8—1221no—
1607Q8—1221no—
1608Q8—1221no—
1609Q8—1221no—
1610Q8—1221no—
1611Q8—1221no—
1612Q8—1221no—
1613Q8—1221no—
1614Q8—4881no—
1615Q8—4881no—
1616Q8—2442no—
1617Q8—2442no—
1618Q8—2442no—
1619Q8#1451982312yes—
1620D4—21no—
1621D4—21no—
1622D4—21no—
1623D4—21no—
1624D4—81no—
1625D4—81no—
1626D4—1222no—
1627D4—1222no—
1628D4—1221no—
1629D4—1221no—
1630D4—1221no—
1631D4—1221no—
1632D4—4881no—
1633D4—4881no—
1634D4—4881no—
1635D4—4881no—
1636D4—4881no—
1637D4—4881no—
1638D4—4881no—
1639D4—4881no—
1640D4—4881no—
1641D4—4881no—
1642D4—4881no—
1643D4—2441no—
1644D4—2442no—
1645D4—2442no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—81no—
1653C2×C4—81no—
1654C2×C4—611no—
1655C2×C4—611no—
1656C2×C4—611no—
1657C2×C4—611no—
1658C2×C4—611no—
1659C2×C4—1222no—
1660C2×C4—1221no—
1661C2×C4—1221no—
1662C2×C4—1221no—
1663C2×C4—1221no—
1664C2×C4—1221no—
1665C2×C4—1221no—
1666C2×C4—1221no—
1667C2×C4—1221no—
1668C2×C4—1221no—
1669C2×C4—1221no—
1670C2×C4—1221no—
1671C2×C4—1221no—
1672C2×C4—4881no—
1673C2×C4—4881no—
1674C2×C4—4881no—
1675C2×C4—4881no—
1676C2×C4—4881no—
1677C2×C4—2441no—
1678C2×C4—2442no—
1679C2×C4—2442no—
1680C2×C4—2442no—
1681C2×C4—2442no—
1682C2×C4C2×D4×D6111yescharacteristic
1683C2×C4C2×D4×D6111yescharacteristic
1684C2×C4C2×D4×D6111yescharacteristic
1685C2×C4C2×D4×D6111yescharacteristic
1686C2×C4C2×D4×D6111yescharacteristic
1687C2×C4C2×D4×D6111yescharacteristic
1688C2×C4C24×D6111yescharacteristic
1689C8—21no—
1690C8—21no—
1691C8—21no—
1692C8—21no—
1693C8—1221no—
1694C8—1221no—
1695C8—1221no—
1696C8—1221no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—612no—
1704C22—1221no—
1705C22—1221no—
1706C22—1221no—
1707C22—1221no—
1708C22—1221no—
1709C22—1221no—
1710C22—1221no—
1711C22—1221no—
1712C22—9762no—
1713C22—9762no—
1714C22—9762no—
1715C22—2441no—
1716C22—2441no—
1717C22—2441no—
1718C22—2441no—
1719C22—2441no—
1720C22—2441no—
1721C22C22×D4×D6111yescharacteristic
1722C4—22no—
1723C4—21no—
1724C4—21no—
1725C4—21no—
1726C4—21no—
1727C4—21no—
1728C4—21no—
1729C4—41no—
1730C4—41no—
1731C4—41no—
1732C4—41no—
1733C4—41no—
1734C4—1221no—
1735C4—1221no—
1736C4—1221no—
1737C4—1221no—
1738C4—1221no—
1739C4—2441no—
1740C4—2441no—
1741C4—2441no—
1742C4—2441no—
1743C4—2441no—
1744C4—2441no—
1745C4C2×#1451982311yescharacteristic
1746C4#1684059911yescharacteristic
1747C2—81no—
1748C2—81no—
1749C2—1222no—
1750C2—4881no—
1751C2—4881no—
1752C2—2441no—
1753C2—2441no—
1754C2#2145948511yescharacteristic
1755C2#577×D6111yescharacteristic
1756C2#2146060311yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3371C2
socleC22×C61C23×D4
prime radical#21460339C2
hypercenter#3371D61
hypocenterC61#62019
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3371

Complements

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

NH ≅ G/Ntype
2. #21459916C2semidirect
3. #21458874C2semidirect
4. #21458872C2semidirect
5. #21458587C2semidirect
6. #21457854C2semidirect
7. #21457852C2semidirect
8. #21457839C2semidirect
9. #21457837C2semidirect
10. #21457705C2semidirect
11. #21457703C2semidirect
12. SD16×D244C2semidirect
13. #21457510C2semidirect
14. #21457391C2semidirect
15. #21457384C2semidirect
16. #21457331C2semidirect
17. #21457324C2semidirect
18. #21457251C2semidirect
19. #21457249C2semidirect
20. #21457137C2semidirect
21. #21456894C2semidirect
22. #21456892C2semidirect
23. #21456823C2semidirect
24. #21456052C2semidirect
25. #21456044C2semidirect
26. #21455939C2semidirect
27. #21455338C2semidirect
28. #21455335C2semidirect
29. #464×D61C2semidirect
30. #21454957C2semidirect
31. C61×#3371C2semidirect
32. C2×#14519809C22semidirect
33. C2×#14519806C22semidirect
34. C2×Q16×D61C22semidirect
36. C2×SD16×D61C22semidirect
37. C2×SD16×D61C22semidirect
42. #16840491C22semidirect
44. #16840486C22semidirect
47. #16840450C22semidirect
48. #16840450C22semidirect
49. Q8×D244C22semidirect
50. Q8×D244C22semidirect
51. Q8×D244C22semidirect
64. #16840375C22semidirect
65. #16840375C22semidirect
73. #16840317C22semidirect
78. #16840238C22semidirect
79. #16840238C22semidirect
80. C4×Q8×D61C22semidirect
81. #16840157C22semidirect
82. #16840157C22semidirect
83. #16840156C22semidirect
84. #16840156C22semidirect
88. #16840124C22semidirect
89. #16840119C22semidirect
90. #16840106C22semidirect
91. #16840102C22semidirect
94. #16840077C22semidirect
95. #16840074C22semidirect
96. #16840066C22semidirect
97. #16840059C22semidirect
98. #16840056C22semidirect
99. #16840055C22semidirect
100. #16840049C22semidirect
101. #16840046C22semidirect
102. #16840046C22semidirect
103. #16840021C22semidirect
104. #16840019C22semidirect
107. #16840004C22semidirect
108. #16840002C22semidirect
110. #16839992C22semidirect
111. #16839992C22semidirect
113. #16839990C22semidirect
114. #16839990C22semidirect
115. #16839987C22semidirect
116. #16839987C22semidirect
117. #16839987C22semidirect
118. #16839986C22semidirect
119. #16839985C22semidirect
120. #16839985C22semidirect
121. #16839984C22semidirect
122. #16839984C22semidirect
123. #16839983C22semidirect
124. #16839983C22semidirect
125. #16839983C22semidirect
126. #16839982C22semidirect
127. #16839981C22semidirect
128. #16839981C22semidirect
129. #16839973C22semidirect
130. #16839972C22semidirect
131. #16839968C22semidirect
132. #16839968C22semidirect
133. #16839967C22semidirect
134. #16839967C22semidirect
137. #16839961C22semidirect
138. #16839961C22semidirect
139. #16839961C22semidirect
140. #16839960C22semidirect
142. #16839927C22semidirect
143. #16839927C22semidirect
144. #16839925C22semidirect
145. #16839925C22semidirect
146. #16839919C22semidirect
147. #16839919C22semidirect
148. #16839919C22semidirect
149. #16839916C22semidirect
152. #16839914C22semidirect
153. #16839914C22semidirect
154. #16839914C22semidirect
155. #16839914C22semidirect
157. #16839902C22semidirect
159. #16839899C22semidirect
160. #16839893C22semidirect
161. #16839867C22semidirect
162. #16839864C22semidirect
163. #16839864C22semidirect
164. #16839862C22semidirect
165. #16839862C22semidirect
166. #16839860C22semidirect
167. C4×Dic244C22semidirect
168. C4×#11758202C22semidirect
169. C4×#11758201C22semidirect
170. #16839835C22semidirect
171. #16839835C22semidirect
172. #16839832C22semidirect
173. #16839832C22semidirect
174. C8×D244C22semidirect
175. #16839827C22semidirect
176. #16839824C22semidirect
177. #16839821C22semidirect
178. #16839817C22semidirect
179. #16839787C22semidirect
180. #16839787C22semidirect
181. C4⋊C8×D61C22semidirect
182. #16839765C22semidirect
183. #16839765C22semidirect
184. #16839757C22semidirect
185. #16839755C22semidirect
186. #103×D61C22semidirect
189. C61×#557C22semidirect
191. C61×#489C22semidirect
192. C61×#488C22semidirect
193. C61×#479C22semidirect
194. C61×#478C22semidirect
195. C61×#476C22semidirect
196. C61×#464C22semidirect
197. C61×#464C22semidirect
199. C61×#446C22semidirect
200. C61×#441C22semidirect
201. C61×#440C22semidirect
202. C4×SD16×C61C22semidirect
874. #3371D61semidirect
922. #557C2×D61semidirect
970. #489C2×D61semidirect
972. #488C2×D61semidirect
980. #479C2×D61semidirect
982. #478C2×D61semidirect
986. #476C2×D61semidirect
1015. #464C2×D61semidirect
1016. #464C2×D61semidirect
1050. #446C2×D61semidirect
1052. #441C2×D61semidirect
1058. #440C2×D61semidirect
1062. C4×SD16C2×D61semidirect
1081. C61#62019semidirect

Maximal subgroups

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

subgroupindex
#214603392
#214599162
#214588742
#214588722
#214585872
#214578542
#214578522
#214578392
#214578372
#214577052
#214577032
SD16×D2442
#214575102
#214573912
#214573842
#214573312
#214573242
#214572512
#214572492
#214571372
#214568942
#214568922
#214568232
#214560522
#214560442
#214559392
#214553382
#214553352
#464×D612
#214549572
C61×#33712
#6201961