Finite Group Databasebeta

← #30573767

Subgroups — #30573767

Order 15616.

1850 conjugacy classes of subgroups.

The subgroup lattice has 1788 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21460188C211yesmaximal, characteristic, complemented
2#21459922C211yesmaximal, characteristic, complemented
3#21458878C211yesmaximal, characteristic, complemented
4#21458865C211yesmaximal, characteristic, complemented
5#21458659C211yesmaximal, characteristic, complemented
6#21458551C211yesmaximal, characteristic, complemented
7#21457970C211yesmaximal, characteristic, complemented
8#21457955C211yesmaximal, characteristic, complemented
9#21457942C211yesmaximal, characteristic, complemented
10#21457801C211yesmaximal, characteristic, complemented
11#21457764C211yesmaximal, characteristic, complemented
12#21457651C211yesmaximal, characteristic, complemented
13#21457574C211yesmaximal, characteristic, complemented
14#21457523C211yesmaximal, characteristic, complemented
15#21457411C211yesmaximal, characteristic, complemented
16#21457381C211yesmaximal, characteristic, complemented
17#21457365C211yesmaximal, characteristic, complemented
18#21457311C211yesmaximal, characteristic, complemented
19#21457279C211yesmaximal, characteristic, complemented
20#21457147C211yesmaximal, characteristic, complemented
21#21456912C211yesmaximal, characteristic, complemented
22#21456863C211yesmaximal, characteristic, complemented
23#21456855C211yesmaximal, characteristic, complemented
24#21456101C211yesmaximal, characteristic, complemented
25#21456042C211yesmaximal, characteristic, complemented
26#21455972C211yesmaximal, characteristic, complemented
27#21455359C211yesmaximal, characteristic, complemented
28#21455341C211yesmaximal, characteristic, complemented
29#21455271C211yesmaximal, characteristic, complemented
30#21454956C211yesmaximal, characteristic, complemented
31C61×#3257C211yesmaximal, characteristic, complemented
32C2×#14519810C2211yescharacteristic, complemented
33C2×#14519801C2211yescharacteristic
34C2×#14519798C2211yescharacteristic, complemented
35C2×#14519798C2211yescharacteristic, complemented
36C2×#14519796C2211yescharacteristic, complemented
37C22×#11758190C2211yescharacteristic
38#16840503—21no—
39#16840502—21no—
40#16840498C2211yescharacteristic, complemented
41#16840496—21no—
42#16840489C2211yescharacteristic, complemented
43#16840484C2211yescharacteristic
44#16840476—21no—
45#16840476C2211yescharacteristic, complemented
46#16840463—21no—
47#16840459C2211yescharacteristic
48#16840455—21no—
49#16840450C2211yescharacteristic, complemented
50#16840449—21no—
51#16840434C2211yescharacteristic
52#16840433C2211yescharacteristic
53#16840432C2211yescharacteristic, complemented
54#16840430C2211yescharacteristic
55#16840418C2211yescharacteristic
56#16840418C2211yescharacteristic, complemented
57#16840414C2211yescharacteristic
58#16840407C2211yescharacteristic
59#16840404—21no—
60#16840403C2211yescharacteristic
61#16840396C2211yescharacteristic
62#16840386C2211yescharacteristic
63#16840380—21no—
64#16840377C2211yescharacteristic, complemented
65#16840362—21no—
66#16840352—21no—
67#16840346—21no—
68#16840342—21no—
69#16840331C2211yescharacteristic
70#16840330—21no—
71#16840330C2211yescharacteristic
72#16840313C2211yescharacteristic
73#16840311C2211yescharacteristic
74#16840294C2211yescharacteristic, complemented
75#16840293—21no—
76#16840290C2211yescharacteristic
77#16840289—21no—
78#16840241C2211yescharacteristic, complemented
79#16840239C2211yescharacteristic, complemented
80C4×#11758224C2211yescharacteristic, complemented
81#16840153C2211yescharacteristic, complemented
82#16840150C2211yescharacteristic
83#16840150C2211yescharacteristic, complemented
84#16840149C2211yescharacteristic
85#16840143C2211yescharacteristic
86#16840138C2211yescharacteristic, complemented
87#16840129C2211yescharacteristic, complemented
88#16840128C2211yescharacteristic, complemented
89#16840125C2211yescharacteristic
90#16840123C2211yescharacteristic
91#16840119C2211yescharacteristic
92#16840107C2211yescharacteristic, complemented
93#16840100C2211yescharacteristic, complemented
94#16840094C2211yescharacteristic, complemented
95#16840089C2211yescharacteristic
96#16840089C2211yescharacteristic, complemented
97#16840083C2211yescharacteristic
98#16840082C2211yescharacteristic
99#16840061C2211yescharacteristic
100#16840061C2211yescharacteristic, complemented
101#16840056C2211yescharacteristic, complemented
102#16840054C2211yescharacteristic, complemented
103#16840044C2211yescharacteristic, complemented
104#16840041C2211yescharacteristic, complemented
105#16840009C2211yescharacteristic
106#16840007C2211yescharacteristic, complemented
107#16840004C2211yescharacteristic, complemented
108#16839997C2211yescharacteristic
109#16839997C2211yescharacteristic
110#16839997C2211yescharacteristic, complemented
111#16839992C2211yescharacteristic
112#16839992C2211yescharacteristic, complemented
113#16839987C2211yescharacteristic
114#16839985C2211yescharacteristic
115#16839985C2211yescharacteristic
116#16839985C2211yescharacteristic, complemented
117#16839985C2211yescharacteristic, complemented
118#16839983C2211yescharacteristic, complemented
119#16839981C2211yescharacteristic, complemented
120#16839981C2211yescharacteristic, complemented
121#16839979C2211yescharacteristic
122#16839977C2211yescharacteristic, complemented
123#16839977C2211yescharacteristic, complemented
124#16839976C2211yescharacteristic
125#16839976C2211yescharacteristic, complemented
126#16839976C2211yescharacteristic, complemented
127#16839971C2211yescharacteristic, complemented
128#16839965C2211yescharacteristic, complemented
129#16839963C2211yescharacteristic
130#16839963C2211yescharacteristic
131#16839963C2211yescharacteristic, complemented
132#16839963C2211yescharacteristic, complemented
133#16839961C2211yescharacteristic
134#16839961C2211yescharacteristic, complemented
135#16839957C2211yescharacteristic
136#16839957C2211yescharacteristic
137#16839955C2211yescharacteristic
138#16839955C2211yescharacteristic, complemented
139#16839927C2211yescharacteristic, complemented
140#16839927C2211yescharacteristic, complemented
141#16839925C2211yescharacteristic, complemented
142#16839925C2211yescharacteristic, complemented
143#16839917C2211yescharacteristic, complemented
144#16839914C2211yescharacteristic
145#16839908C2211yescharacteristic
146#16839908C2211yescharacteristic
147#16839908C2211yescharacteristic, complemented
148#16839906C2211yescharacteristic, complemented
149#16839906C2211yescharacteristic, complemented
150#16839905C2211yescharacteristic, complemented
151#16839905C2211yescharacteristic, complemented
152#16839904C2211yescharacteristic, complemented
153#16839900C2211yescharacteristic
154#16839895C2211yescharacteristic
155#16839895C2211yescharacteristic
156#16839894C2211yescharacteristic
157#16839891C2211yescharacteristic, complemented
158#16839889C2211yescharacteristic, complemented
159#16839871C2211yescharacteristic
160#16839871C2211yescharacteristic, complemented
161#16839871C2211yescharacteristic, complemented
162#16839868C2211yescharacteristic, complemented
163#16839867C2211yescharacteristic, complemented
164#16839862C2211yescharacteristic, complemented
165#16839861C2211yescharacteristic
166#16839861C2211yescharacteristic, complemented
167C4×#11758202C2211yescharacteristic, complemented
168#16839853C2211yescharacteristic, complemented
169#16839849C2211yescharacteristic, complemented
170C4×#11758200C2211yescharacteristic, complemented
171#16839833C2211yescharacteristic
172#16839832C2211yescharacteristic, complemented
173#16839831C2211yescharacteristic
174#16839831C2211yescharacteristic, complemented
175#16839827C2211yescharacteristic, complemented
176C8×C22⋊D61C2211yescharacteristic, complemented
177#16839823C2211yescharacteristic, complemented
178#16839822C2211yescharacteristic, complemented
179#16839818C2211yescharacteristic, complemented
180#16839787C2211yescharacteristic, complemented
181C4⋊C8×D61C2211yescharacteristic, complemented
182#16839768C2211yescharacteristic
183#16839762C2211yescharacteristic, complemented
184#16839759C2211yescharacteristic, complemented
185#16839757C2211yescharacteristic, complemented
186#16839755C2211yescharacteristic, complemented
187#102×D61C2211yescharacteristic
188C61×#542C2211yescharacteristic
189C61×#540C2211yescharacteristic, complemented
190C61×#479C2211yescharacteristic, complemented
191C61×#478C2211yescharacteristic, complemented
192C61×#476C2211yescharacteristic, complemented
193C61×#474C2211yescharacteristic, complemented
194C61×#469C2211yescharacteristic
195C61×#468C2211yescharacteristic, complemented
196C61×#466C2211yescharacteristic
197C61×#465C2211yescharacteristic, complemented
198C61×#463C2211yescharacteristic, complemented
199C61×#463C2211yescharacteristic, complemented
200C61×#460C2211yescharacteristic, complemented
201C61×#459C2211yescharacteristic, complemented
202C61×#424C2211yescharacteristic, complemented
203C2×#11758226—21no—
204C2×#11758226C2311yescharacteristic
205C2×#11758226C2311yescharacteristic
206C2×#11758222—21no—
207C2×#11758222C2311yescharacteristic
208C2×#11758224C2311yescharacteristic
209C2×#11758224C2311yescharacteristic
210C2×#11758224C2311yescharacteristic
211C22×Dic122C2311yescharacteristic
212C22×D244C2311yescharacteristic
213C2×D4×D61—21no—
214C2×D4×D61C2311yescharacteristic
215#14519810—42no—
216#14519801—42no—
217#14519798—42no—
218#14519798—42no—
219#14519796—42no—
220C2×Dic244C2311yescharacteristic
221C2×Dic244C2311yescharacteristic
222C2×#11758202C2311yescharacteristic
223C2×#11758202C2311yescharacteristic
224C2×#11758190—42no—
225C2×#11758190C2311yescharacteristic
226C2×#11758190C2311yescharacteristic
227C2×#11758190C2311yescharacteristic
228C2×#11758190C2311yescharacteristic
229C2×#11758190C2311yescharacteristic
230C2×#11758190C2311yescharacteristic
231C2×#11758200C2311yescharacteristic
232C2×#11758200C2311yescharacteristic
233C2×#11758200C2311yescharacteristic
234C2×#11758200C2311yescharacteristic
235C2×#11758199C2311yescharacteristic
236C2×#11758199C2311yescharacteristic
237C2×#11758199C2311yescharacteristic
238C2×#11758199C2311yescharacteristic
239C2×#11758199C2311yescharacteristic
240C2×#11758199C2311yescharacteristic
241C2×#11758189C2311yescharacteristic
242C2×C8×D61C2311yescharacteristic
243C2×C8×D61C2311yescharacteristic
244C2×C8×D61C2311yescharacteristic
245#14519776—21no—
246#14519776C2311yescharacteristic
247#14519775C2311yescharacteristic
248#14519774—21no—
249#14519774C2311yescharacteristic
250#14519774C2311yescharacteristic
251#14519773—21no—
252#14519773—21no—
253#14519773C2311yescharacteristic
254#14519773C2311yescharacteristic
255#14519772—21no—
256#14519772—21no—
257#14519772—21no—
258#14519772D411yescharacteristic
259#14519771—21no—
260#14519770—21no—
261#14519770—21no—
262#14519770—21no—
263#14519770D411yescharacteristic
264#14519768—21no—
265#14519768C2311yescharacteristic
266#14519767—21no—
267#14519767—21no—
268#14519767D411yescharacteristic
269#14519766—21no—
270#14519766—21no—
271#14519766C2311yescharacteristic
272#14519765C2311yescharacteristic
273#14519765C2311yescharacteristic
274#14519764—21no—
275#14519764—21no—
276#14519764C2311yescharacteristic
277#14519764C2311yescharacteristic
278#14519763—21no—
279#14519763—21no—
280#14519763—21no—
281#14519763—21no—
282#14519763D411yescharacteristic
283#14519762—21no—
284#14519762—21no—
285#14519762—21no—
286#14519762—21no—
287#14519762D411yescharacteristic
288#14519761—21no—
289#14519760—21no—
290#14519759—21no—
291#14519759—21no—
292#14519759D411yescharacteristic
293#14519758—21no—
294#14519758—21no—
295#14519758—21no—
296#14519757C2311yescharacteristic
297#14519757C2311yescharacteristic
298#14519757C2311yescharacteristic
299#14519756—21no—
300#14519755—21no—
301#14519755D411yescharacteristic
302#14519754—21no—
303#14519754—21no—
304#14519753—21no—
305#14519752—21no—
306#14519752—21no—
307#14519752—21no—
308#14519752—21no—
309#14519752—21no—
310#14519752—21no—
311#14519752C2311yescharacteristic
312#14519752C2311yescharacteristic
313#14519752C2311yescharacteristic
314#14519751—21no—
315#14519751—21no—
316#14519750—21no—
317#14519750—21no—
318#14519750—21no—
319#14519750—21no—
320#14519750—21no—
321#14519750—21no—
322#14519750—21no—
323#14519750—21no—
324#14519750—21no—
325#14519750D411yescharacteristic
326#14519749—21no—
327#14519749—21no—
328#14519749—21no—
329#14519749—21no—
330#14519749—21no—
331#14519749—21no—
332#14519748—21no—
333#14519748C2311yescharacteristic
334#14519748C2311yescharacteristic
335#14519747—21no—
336#14519747—21no—
337#14519747—21no—
338#14519747—21no—
339#14519747—21no—
340#14519747—21no—
341#14519747—21no—
342#14519745—21no—
343C4×Dic122C2311yescharacteristic
344C4×Dic122C2311yescharacteristic
345C4×Dic122C2311yescharacteristic
346C4×Dic122C2311yescharacteristic
347C4×Dic122C2311yescharacteristic
348#14519742—21no—
349#14519742—21no—
350#14519742—21no—
351#14519742C2311yescharacteristic
352#14519742C2311yescharacteristic
353#14519742C2311yescharacteristic
354C4×D244—21no—
355C4×D244C2311yescharacteristic
356D4×Dic61—21no—
357D4×Dic61—21no—
358D4×Dic61—21no—
359D4×Dic61—21no—
360D4×Dic61C2311yescharacteristic
361D4×Dic61C2311yescharacteristic
362#14519739—21no—
363#14519739C2311yescharacteristic
364#14519739C2311yescharacteristic
365#14519739C2311yescharacteristic
366C4×C22⋊D61—21no—
367C4×C22⋊D61—21no—
368C4×C22⋊D61—21no—
369C4×C22⋊D61C2311yescharacteristic
370C4×C22⋊D61C2311yescharacteristic
371#14519737—21no—
372#14519737—21no—
373#14519737—21no—
374#14519737—21no—
375#14519737—21no—
376#14519737—21no—
377#14519736—21no—
378#14519736C2311yescharacteristic
379#14519735—21no—
380#14519735C2311yescharacteristic
381#14519734—21no—
382#14519734C2311yescharacteristic
383#14519733—21no—
384#14519733—21no—
385#14519733—21no—
386#14519733—21no—
387#14519733—21no—
388C2×#11758196—21no—
389C4⋊C4×D61—21no—
390C4⋊C4×D61C2311yescharacteristic
391C2×#11758198—21no—
392C22⋊C4×D61—21no—
393C2×C4×Dic61—21no—
394C42×D61C2311yescharacteristic
395#14519710C2311yescharacteristic
396#14519710C2311yescharacteristic
397#14519708C2311yescharacteristic
398#14519708C2311yescharacteristic
399C4⋊#92418C2311yescharacteristic
400C4⋊#92418C2311yescharacteristic
401#14519706C2311yescharacteristic
402#14519706C2311yescharacteristic
403#14519706C2311yescharacteristic
404#14519706C2311yescharacteristic
405#14519702C2311yescharacteristic
406#14519702C2311yescharacteristic
407#14519701C2311yescharacteristic
408#14519701C2311yescharacteristic
409#14519700C2311yescharacteristic
410#14519700C2311yescharacteristic
411#14519700C2311yescharacteristic
412#14519700C2311yescharacteristic
413#14519700C2311yescharacteristic
414#14519700C2311yescharacteristic
415#14519699C2311yescharacteristic
416#14519699C2311yescharacteristic
417#14519699C2311yescharacteristic
418#14519699C2311yescharacteristic
419#14519699C2311yescharacteristic
420#14519699C2311yescharacteristic
421#14519698C2311yescharacteristic
422#14519698C2311yescharacteristic
423#14519697C2311yescharacteristic
424#14519697C2311yescharacteristic
425#14519697C2311yescharacteristic
426#14519697C2311yescharacteristic
427#14519697C2311yescharacteristic
428#14519697C2311yescharacteristic
429C22⋊#92418C2311yescharacteristic
430C22⋊#92418C2311yescharacteristic
431#14519689C2311yescharacteristic
432#14519689C2311yescharacteristic
433#14519689C2311yescharacteristic
434#14519689C2311yescharacteristic
435#14519688C2311yescharacteristic
436#14519687C2311yescharacteristic
437#14519687C2311yescharacteristic
438#14519687C2311yescharacteristic
439C4×#92418C2311yescharacteristic
440C8×Dic61C2311yescharacteristic
441C2×SD16×C61C2311yescharacteristic
442C2×SD16×C61C2311yescharacteristic
443C2×D8×C61C2311yescharacteristic
444C2×D8×C61C2311yescharacteristic
445C2×M16×C61C2311yescharacteristic
446C22×C8×C61C2311yescharacteristic
447C4⋊Q8×C61C2311yescharacteristic
448#127×C61C2311yescharacteristic
449#126×C61—21no—
450#125×C61C2311yescharacteristic
451#124×C61—21no—
452#124×C61C2311yescharacteristic
453#123×C61—21no—
454#123×C61—21no—
455#123×C61—21no—
456C22⋊Q8×C61—21no—
457C22⋊Q8×C61C2311yescharacteristic
458#121×C61—21no—
459#121×C61—21no—
460#121×C61C2311yescharacteristic
461#121×C61C2311yescharacteristic
462#121×C61C2311yescharacteristic
463C4×Q8×C61C2311yescharacteristic
464C4×D4×C61C2311yescharacteristic
465C4×D4×C61C2311yescharacteristic
466C4×D4×C61C2311yescharacteristic
467#117×C61C2311yescharacteristic
468#107×C61C2311yescharacteristic
469#107×C61C2311yescharacteristic
470#106×C61C2311yescharacteristic
471#106×C61C2311yescharacteristic
472C4⋊C8×C61C2311yescharacteristic
473C4⋊C8×C61C2311yescharacteristic
474C4⋊C8×C61C2311yescharacteristic
475C4⋊C8×C61C2311yescharacteristic
476#103×C61C2311yescharacteristic
477#103×C61C2311yescharacteristic
478#102×C61C2311yescharacteristic
479#102×C61C2311yescharacteristic
480#102×C61C2311yescharacteristic
481#102×C61C2311yescharacteristic
482#102×C61C2311yescharacteristic
483#102×C61C2311yescharacteristic
484C23×D61—21no—
485C23×D61—21no—
486C2×Q8×C61—21no—
487C2×Q8×C61C2411yescharacteristic
488C2×D4×C61—21no—
489C2×D4×C61—21no—
490C2×D4×C61—21no—
491C2×D4×C61—21no—
492C2×D4×C61—21no—
493C2×D4×C61C2411yescharacteristic
494C2×D4×C61C2411yescharacteristic
495C2×D4×C61C2411yescharacteristic
496C22×C4×C61—21no—
497C22×C4×C61—21no—
498C22×C4×C61—21no—
499C22×C4×C61C2411yescharacteristic
500C2×C22⋊D61—21no—
501C2×C22⋊D61—21no—
502C2×C22⋊D61—21no—
503C2×C22⋊D61—21no—
504C2×C22⋊D61—21no—
505C2×C22⋊D61—21no—
506C2×C22⋊D61—21no—
507C2×C22⋊D61—21no—
508C2×C22⋊D61—21no—
509C2×C22⋊D61—21no—
510C2×C22⋊D61—21no—
511C2×C22⋊D61C2×D411yescharacteristic
512C2×C22⋊D61C2×D411yescharacteristic
513C22×Dic61—21no—
514C22×Dic61—21no—
515C22×Dic61—21no—
516C22×Dic61—21no—
517C22×Dic61—21no—
518C22×Dic61—21no—
519#11758226—41no—
520#11758226—41no—
521#11758226—41no—
522#11758226—41no—
523#11758226—82no—
524#11758224—22no—
525#11758224—22no—
526#11758224—41no—
527#11758224—41no—
528#11758224—41no—
529#11758224—41no—
530D4×D61—41no—
531D4×D61—41no—
532D4×D61—82no—
533#11758222—41no—
534#11758222—41no—
535#11758222—82no—
536C2×D244—21no—
537C2×D244—21no—
538C2×D244—21no—
539C2×D244—21no—
540C2×D244—21no—
541C2×D244—21no—
542C2×D244—21no—
543C2×D244—21no—
544C2×D244—21no—
545C2×D244—21no—
546C2×D244—41no—
547C2×D244—41no—
548C2×D244C2×D411yescharacteristic
549C2×D244C2411yescharacteristic
550C2×D244C2411yescharacteristic
551C2×D244C2411yescharacteristic
552C2×C4×D61—21no—
553C2×C4×D61—21no—
554C2×C4×D61—21no—
555C2×C4×D61—21no—
556C2×C4×D61—21no—
557C2×C4×D61—21no—
558C2×C4×D61—21no—
559C2×C4×D61C2×D411yescharacteristic
560C2×C4×D61C2×D411yescharacteristic
561C2×C4×D61C2411yescharacteristic
562C2×C4×D61C2411yescharacteristic
563C2×Dic122—22no—
564C2×Dic122—21no—
565C2×Dic122—21no—
566C2×Dic122—41no—
567C2×Dic122C2×D411yescharacteristic
568C2×Dic122C2411yescharacteristic
569C2×Dic122C2411yescharacteristic
570C2×Dic122C2411yescharacteristic
571SD16×C61—41no—
572SD16×C61—41no—
573D8×C61—41no—
574D8×C61—41no—
575M16×C61—41no—
576C2×C8×C61—41no—
577C2×C8×C61C2411yescharacteristic
578C2×C8×C61C2411yescharacteristic
579C2×C8×C61C2411yescharacteristic
580C2×C8×C61C2411yescharacteristic
581C4⋊C4×C61—21no—
582C4⋊C4×C61—21no—
583C4⋊C4×C61—21no—
584C4⋊C4×C61—21no—
585C4⋊C4×C61—21no—
586C4⋊C4×C61C2×D411yescharacteristic
587C4⋊C4×C61C2×D411yescharacteristic
588C4⋊C4×C61C2411yescharacteristic
589C4⋊C4×C61C2411yescharacteristic
590C4⋊C4×C61C2411yescharacteristic
591C4⋊C4×C61C2411yescharacteristic
592C22⋊C4×C61—21no—
593C22⋊C4×C61—21no—
594C22⋊C4×C61—21no—
595C22⋊C4×C61—21no—
596C22⋊C4×C61—21no—
597C22⋊C4×C61—21no—
598C22⋊C4×C61—21no—
599C22⋊C4×C61—21no—
600C22⋊C4×C61—21no—
601C22⋊C4×C61C2×D411yescharacteristic
602C22⋊C4×C61C2×D411yescharacteristic
603C42×C61—21no—
604C42×C61C2411yescharacteristic
605C42×C61C2411yescharacteristic
606C22⋊Dic61—21no—
607C22⋊Dic61—21no—
608C22⋊Dic61—21no—
609C22⋊Dic61—21no—
610C22⋊Dic61—21no—
611C22⋊Dic61—21no—
612C22⋊Dic61—21no—
613C22⋊Dic61—21no—
614C22⋊Dic61—21no—
615C22⋊Dic61C2×D411yescharacteristic
616C22⋊Dic61C2×D411yescharacteristic
617#11758202—22no—
618#11758202—41no—
619#11758200—22no—
620#11758200—41no—
621#11758200—41no—
622#11758200—41no—
623#11758199—41no—
624#11758199—41no—
625#11758199—41no—
626#11758199—41no—
627#11758199—41no—
628#11758199—41no—
629#11758198—21no—
630#11758198—21no—
631#11758198—21no—
632#11758198—21no—
633#11758198—21no—
634#11758198—21no—
635#11758198—21no—
636#11758198—21no—
637#11758198—21no—
638#11758198—21no—
639#11758198—21no—
640#11758198—21no—
641#11758198—21no—
642#11758198—21no—
643#11758198—21no—
644#11758198—21no—
645#11758198C2×D411yescharacteristic
646#11758198C2×D411yescharacteristic
647#11758198C2×D411yescharacteristic
648#11758198C2×D411yescharacteristic
649#11758198C2×D411yescharacteristic
650#11758198C2×D411yescharacteristic
651C4⋊Dic61—21no—
652C4⋊Dic61—21no—
653C4⋊Dic61—21no—
654C4⋊Dic61—21no—
655C4⋊Dic61C2×D411yescharacteristic
656C4⋊Dic61C2×D411yescharacteristic
657C4⋊Dic61C2411yescharacteristic
658C4⋊Dic61C2411yescharacteristic
659#11758196—21no—
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#11758196—21no—
671#11758196C2×D411yescharacteristic
672#11758196C2×D411yescharacteristic
673#11758196C2×D411yescharacteristic
674#11758196C2×D411yescharacteristic
675#11758196C2×D411yescharacteristic
676#11758196C2×D411yescharacteristic
677C4×Dic61—21no—
678C4×Dic61—21no—
679C4×Dic61—21no—
680C4×Dic61—21no—
681C4×Dic61—21no—
682C4×Dic61—21no—
683C4×Dic61—21no—
684C4×Dic61—21no—
685C4×Dic61—21no—
686C4×Dic61C2×D411yescharacteristic
687C4×Dic61C2×D411yescharacteristic
688C4×Dic61C2411yescharacteristic
689C4×Dic61C2411yescharacteristic
690C2×#92418C2411yescharacteristic
691C2×#92418C2411yescharacteristic
692C2×#92418C2411yescharacteristic
693C2×#92418C2411yescharacteristic
694Dic244—22no—
695Dic244—41no—
696#11758190—22no—
697#11758190—22no—
698#11758190—22no—
699#11758190—41no—
700#11758190—41no—
701#11758190—41no—
702#11758189—41no—
703C8×D61—41no—
704C8×D61—41no—
705C8×D61—41no—
706C23×C61—21no—
707C23×C61—21no—
708C23×C61—21no—
709C23×C61C22×D411yescharacteristic
710C22×D61—21no—
711C22×D61—21no—
712C22×D61—21no—
713C22×D61—81no—
714C22×D61—81no—
715C22×D61—81no—
716C22×D61—81no—
717C22×D61—81no—
718C22×D61—81no—
719C22×D61C22×D411yescharacteristic
720C22×D61C22×D411yescharacteristic
721Q8×C61—21no—
722Q8×C61—21no—
723Q8×C61—81no—
724D4×C61—21no—
725D4×C61—21no—
726D4×C61—21no—
727D4×C61—21no—
728D4×C61—21no—
729D4×C61—21no—
730D4×C61—81no—
731D4×C61—81no—
732D4×C61—81no—
733D4×C61—81no—
734D4×C61—81no—
735C2×C4×C61—21no—
736C2×C4×C61—21no—
737C2×C4×C61—21no—
738C2×C4×C61—21no—
739C2×C4×C61—21no—
740C2×C4×C61—21no—
741C2×C4×C61—21no—
742C2×C4×C61—81no—
743C2×C4×C61—81no—
744C2×C4×C61—81no—
745C2×C4×C61C22×D411yescharacteristic
746C2×C4×C61C22×D411yescharacteristic
747C2×C4×C61C22×D411yescharacteristic
748C2×C4×C61C22×D411yescharacteristic
749C2×C4×C61C22×D411yescharacteristic
750C2×C4×C61C2511yescharacteristic
751C22⋊D61—41no—
752C22⋊D61—41no—
753C22⋊D61—42no—
754C22⋊D61—42no—
755C22⋊D61—42no—
756C22⋊D61—81no—
757C22⋊D61—81no—
758C22⋊D61—81no—
759C22⋊D61—81no—
760C22⋊D61—81no—
761C22⋊D61—81no—
762C22⋊D61—81no—
763C22⋊D61—81no—
764C2×Dic61—21no—
765C2×Dic61—21no—
766C2×Dic61—21no—
767C2×Dic61—21no—
768C2×Dic61—21no—
769C2×Dic61—42no—
770C2×Dic61—42no—
771C2×Dic61—42no—
772C2×Dic61—81no—
773C2×Dic61—81no—
774C2×Dic61—81no—
775C2×Dic61C22×D411yescharacteristic
776C2×Dic61C22×D411yescharacteristic
777C2×Dic61C22×D411yescharacteristic
778C2×Dic61C22×D411yescharacteristic
779C2×Dic61C22×D411yescharacteristic
780C2×Dic61C22×D411yescharacteristic
781D244—21no—
782D244—21no—
783D244—21no—
784D244—21no—
785D244—21no—
786D244—21no—
787D244—41no—
788D244—81no—
789D244—81no—
790D244—81no—
791D244—81no—
792D244—81no—
793D244—81no—
794D244—81no—
795D244—81no—
796D244—81no—
797D244—81no—
798C4×D61—21no—
799C4×D61—21no—
800C4×D61—21no—
801C4×D61—21no—
802C4×D61—41no—
803C4×D61—41no—
804C4×D61—42no—
805C4×D61—42no—
806C4×D61—81no—
807C4×D61—81no—
808C4×D61—81no—
809C4×D61—81no—
810C4×D61—81no—
811Dic122—21no—
812Dic122—21no—
813Dic122—21no—
814Dic122—21no—
815Dic122—21no—
816Dic122—41no—
817Dic122—42no—
818Dic122—81no—
819Dic122H(5,𝔽2)12yes—
820C8×C61—21no—
821C8×C61—21no—
822C8×C61—21no—
823C8×C61—21no—
824#92418—21no—
825#92418—21no—
826#92418—21no—
827#92418—21no—
828#62026—611nomaximal, Sylow
829C22×C61—21no—
830C22×C61—21no—
831C22×C61—21no—
832C22×C61—41no—
833C22×C61—41no—
834C22×C61—41no—
835C22×C61—41no—
836C22×C61—41no—
837C22×C61—41no—
838C22×C61—41no—
839C22×C61—41no—
840C22×C61—41no—
841C22×C61C23×D411yescharacteristic
842C2×D61—21no—
843C2×D61—21no—
844C2×D61—21no—
845C2×D61—21no—
846C2×D61—21no—
847C2×D61—21no—
848C2×D61—41no—
849C2×D61—41no—
850C2×D61—41no—
851C2×D61—41no—
852C2×D61—41no—
853C2×D61—41no—
854C2×D61—41no—
855C2×D61—41no—
856C2×D61—41no—
857C2×D61—162no—
858C2×D61—162no—
859C4×C61—21no—
860C4×C61—21no—
861C4×C61—21no—
862C4×C61—21no—
863C4×C61—21no—
864C4×C61—41no—
865C4×C61—41no—
866C4×C61—41no—
867C4×C61—41no—
868C4×C61—41no—
869C4×C61C2×H(5,𝔽2)11yescharacteristic
870C4×C61#58511yescharacteristic
871Dic61—21no—
872Dic61—21no—
873Dic61—21no—
874Dic61—21no—
875Dic61—22no—
876Dic61—21no—
877Dic61—21no—
878Dic61—41no—
879Dic61—41no—
880Dic61—41no—
881Dic61—41no—
882#3546—611no—
883#3524—611no—
884#3401—611no—
885#3399—611no—
886#3377—611no—
887#3368—611no—
888#3319—611no—
889#3318—611no—
890#3317—611no—
891#3307—611no—
892#3305—611no—
893#3296—611no—
894#3287—611no—
895#3282—611no—
896#3271—611no—
897#3269—611no—
898#3268—611no—
899#3265—611no—
900#3262—611no—
901#3257D6111yescharacteristic, complemented
902#3247—611no—
903#3224—611no—
904#3220—611no—
905#3219—611no—
906#3125—611no—
907#3121—611no—
908#3115—611no—
909#3045—611no—
910#3043—611no—
911#3035—611no—
912#2992—611no—
913C2×C61—41no—
914C2×C61—81no—
915C2×C61—81no—
916C2×C61—81no—
917C2×C61#348811yescharacteristic
918C2×C61#358411yescharacteristic
919C2×C61#358511yescharacteristic
920D61—41no—
921D61—41no—
922D61—81no—
923D61—81no—
924D61—81no—
925C2×#137—611no—
926C2×AGL(1,ℤ/8)—611no—
927C2×#135—611no—
928C2×#135—611no—
929C2×#135—611no—
930C22×SD16—611no—
931#560—1221no—
932#560—1221no—
933#559—611no—
934#559—1221no—
935#557—611no—
936#556—611no—
937#555—611no—
938#555—1221no—
939#553—611no—
940#553—1221no—
941#553—1221no—
942#552—611no—
943#552—1221no—
944#550—611no—
945#550—611no—
946#550—611no—
947#550—611no—
948#548—611no—
949#548—611no—
950#547—611no—
951#546—611no—
952#546—611no—
953#546—1221no—
954D42—611no—
955#542—611no—
956#542—611no—
957#542—1221no—
958#542C2×D6111yescharacteristic
959#540—1221no—
960#540C2×D6111yescharacteristic, complemented
961#538—1221no—
962#538—1221no—
963#537—1221no—
964#535—611no—
965#535—611no—
966#535—1221no—
967#532—611no—
968#532—611no—
969#529—611no—
970#529—611no—
971#529—1221no—
972#529—1221no—
973#520—611no—
974#519—611no—
975C4×#41—611no—
976#497—611no—
977#496—611no—
978#496—611no—
979#496—611no—
980#495—611no—
981#493—611no—
982#491—611no—
983#490—611no—
984#490—611no—
985#489—611no—
986#488—611no—
987#486—611no—
988#485—611no—
989#483—611no—
990#482—611no—
991#482—611no—
992#482—611no—
993#481—611no—
994#479C2×D6111yescharacteristic, complemented
995#478—611no—
996#478—611no—
997#478C2×D6111yescharacteristic, complemented
998#477—611no—
999#477—611no—
1000#476C2×D6111yescharacteristic, complemented
1001#475—611no—
1002#474—611no—
1003#474C2×D6111yescharacteristic, complemented
1004#469C2×D6111yescharacteristic
1005#468—611no—
1006#468—611no—
1007#468C2×D6111yescharacteristic, complemented
1008#467—611no—
1009#466—611no—
1010#466—611no—
1011#466—611no—
1012#466C2×D6111yescharacteristic
1013#465—611no—
1014#465—611no—
1015#465C2×D6111yescharacteristic, complemented
1016#464—611no—
1017#464—611no—
1018#464—611no—
1019#464—611no—
1020#464—611no—
1021#464—611no—
1022#464—611no—
1023#464—611no—
1024#463—611no—
1025#463—611no—
1026#463—611no—
1027#463—611no—
1028#463—611no—
1029#463—611no—
1030#463C2×D6111yescharacteristic, complemented
1031#463C2×D6111yescharacteristic, complemented
1032#462—611no—
1033#461—611no—
1034#460—611no—
1035#460—611no—
1036#460—611no—
1037#460—611no—
1038#460—611no—
1039#460—611no—
1040#460C2×D6111yescharacteristic, complemented
1041#459—611no—
1042#459—611no—
1043#459—611no—
1044#459—611no—
1045#459C2×D6111yescharacteristic, complemented
1046#452—611no—
1047#452—611no—
1048#452—611no—
1049#452—611no—
1050#451—611no—
1051#450—611no—
1052#449—611no—
1053#449—611no—
1054#449—611no—
1055#449—611no—
1056#449—611no—
1057#449—611no—
1058#449—611no—
1059#449—611no—
1060#448—611no—
1061#447—611no—
1062#447—611no—
1063#447—611no—
1064#446—611no—
1065#446—611no—
1066#442—611no—
1067#442—611no—
1068#442—611no—
1069#441—611no—
1070#441—611no—
1071#440—611no—
1072#440—611no—
1073#440—611no—
1074C4×Q16—611no—
1075C4×SD16—611no—
1076C4×SD16—611no—
1077C4×SD16—611no—
1078#435—611no—
1079#435—611no—
1080#435—611no—
1081#435—611no—
1082C8×D4—611no—
1083C8×D4—611no—
1084#433—611no—
1085#433—611no—
1086#432—611no—
1087#424—611no—
1088#424C2×D6111yescharacteristic, complemented
1089C2×C4⋊C8—611no—
1090#418—611no—
1091#417—611no—
1092#416—611no—
1093#416—611no—
1094#416—611no—
1095C2×#102—611no—
1096C61#6202611yescharacteristic, complemented, Sylow
1097C2×#41—611no—
1098C2×#41—611no—
1099C2×#41—611no—
1100C2×#41—611no—
1101C2×#41—611no—
1102C2×#41—611no—
1103C2×#41—1221no—
1104C2×#41—1221no—
1105C22×Q8—611no—
1106C22×D4—611no—
1107C22×D4—611no—
1108C22×D4—1221no—
1109#137—2442no—
1110AGL(1,ℤ/8)—2442no—
1111#135—2442no—
1112#135—2442no—
1113#135—2442no—
1114C2×Q16—611no—
1115C2×Q16—611no—
1116C2×Q16—611no—
1117C2×Q16—611no—
1118C2×SD16—611no—
1119C2×SD16—611no—
1120C2×SD16—611no—
1121C2×SD16—611no—
1122C2×SD16—611no—
1123C2×SD16—611no—
1124C2×SD16—611no—
1125C2×SD16—611no—
1126C2×SD16—611no—
1127C2×SD16—611no—
1128C2×SD16—2442no—
1129C2×SD16C22×D6111yescharacteristic
1130C2×SD16C22×D6111yescharacteristic
1131C2×D8—611no—
1132C2×D8—611no—
1133C2×D8—611no—
1134C2×D8—611no—
1135C2×D8—611no—
1136C2×D8—611no—
1137C2×D8C22×D6111yescharacteristic
1138C2×D8C22×D6111yescharacteristic
1139C2×M16—611no—
1140C2×M16C22×D6111yescharacteristic
1141C22×C8—611no—
1142C22×C8—611no—
1143C22×C8—611no—
1144C22×C8C22×D6111yescharacteristic
1145C4⋊Q8—611no—
1146C4⋊Q8—611no—
1147C4⋊Q8—1221no—
1148C4⋊Q8C22×D6111yescharacteristic
1149#127—611no—
1150#127—611no—
1151#127—611no—
1152#127—611no—
1153#127—1221no—
1154#127—1221no—
1155#127—1221no—
1156#127C22×D6111yescharacteristic
1157#126—21no—
1158#126—611no—
1159#126—611no—
1160#126—1221no—
1161#126—1221no—
1162#126—1221no—
1163#126—1221no—
1164#126—1221no—
1165#126—1221no—
1166#126—1221no—
1167#125—611no—
1168#125—611no—
1169#125—1221no—
1170#125—1221no—
1171#125—1221no—
1172#125C22×D6111yescharacteristic
1173#124—21no—
1174#124—611no—
1175#124—611no—
1176#124—611no—
1177#124—611no—
1178#124—611no—
1179#124—611no—
1180#124—1221no—
1181#124—1221no—
1182#124—1221no—
1183#124—1221no—
1184#124—1221no—
1185#124—1221no—
1186#124—1221no—
1187#124—1221no—
1188#124C22×D6111yescharacteristic
1189#123—21no—
1190#123—21no—
1191#123—21no—
1192#123—611no—
1193#123—611no—
1194#123—1221no—
1195#123—1221no—
1196#123—1221no—
1197#123—1221no—
1198#123—1221no—
1199#123—1221no—
1200#123—1221no—
1201#123—1221no—
1202#123—1221no—
1203#123—1221no—
1204#123—1221no—
1205C22⋊Q8—21no—
1206C22⋊Q8—611no—
1207C22⋊Q8—611no—
1208C22⋊Q8—611no—
1209C22⋊Q8—611no—
1210C22⋊Q8—1221no—
1211C22⋊Q8—1221no—
1212C22⋊Q8—1221no—
1213C22⋊Q8—1221no—
1214C22⋊Q8—1221no—
1215C22⋊Q8C22×D6111yescharacteristic
1216#121—21no—
1217#121—21no—
1218#121—611no—
1219#121—611no—
1220#121—611no—
1221#121—611no—
1222#121—611no—
1223#121—611no—
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#121—1221no—
1235#121—1221no—
1236#121—1221no—
1237#121—1221no—
1238#121—1221no—
1239#121—1221no—
1240#121—1221no—
1241#121—1221no—
1242#121—1221no—
1243#121—1221no—
1244#121—1221no—
1245#121—1221no—
1246#121—1221no—
1247#121—1221no—
1248#121C22×D6111yescharacteristic
1249#121C22×D6111yescharacteristic
1250#121C22×D6111yescharacteristic
1251#120—1221no—
1252#120—1221no—
1253#120—1221no—
1254#120—1221no—
1255#120—1221no—
1256#120—1221no—
1257#120—1221no—
1258#120—1221no—
1259C4×Q8—611no—
1260C4×Q8—611no—
1261C4×Q8—611no—
1262C4×Q8—611no—
1263C4×Q8—611no—
1264C4×Q8—611no—
1265C4×Q8—611no—
1266C4×Q8—611no—
1267C4×Q8—1221no—
1268C4×Q8—1221no—
1269C4×Q8—1221no—
1270C4×Q8C22×D6111yescharacteristic
1271C4×D4—611no—
1272C4×D4—611no—
1273C4×D4—611no—
1274C4×D4—611no—
1275C4×D4—611no—
1276C4×D4—611no—
1277C4×D4—611no—
1278C4×D4—611no—
1279C4×D4—1221no—
1280C4×D4—1221no—
1281C4×D4—1221no—
1282C4×D4—1221no—
1283C4×D4—1221no—
1284C4×D4—1221no—
1285C4×D4—1221no—
1286C4×D4—1221no—
1287C4×D4—1221no—
1288C4×D4—1221no—
1289C4×D4—1221no—
1290C4×D4—1221no—
1291C4×D4—1221no—
1292C4×D4—1221no—
1293C4×D4—1221no—
1294C4×D4C22×D6111yescharacteristic
1295C4×D4C22×D6111yescharacteristic
1296C4×D4C22×D6111yescharacteristic
1297#117—611no—
1298#117—611no—
1299#117—611no—
1300#117—1221no—
1301#117—1221no—
1302#117—1221no—
1303#117—1221no—
1304#117—1221no—
1305#117—1221no—
1306#117—1221no—
1307#117—1221no—
1308#117C22×D6111yescharacteristic
1309C2×C4⋊C4—611no—
1310C2×C4⋊C4—1221no—
1311C2×C4⋊C4—1221no—
1312C2×C22⋊C4—1221no—
1313C2×C22⋊C4—1221no—
1314C2×C42—611no—
1315C2×C42—1221no—
1316#107—611no—
1317#107—611no—
1318#107C22×D6111yescharacteristic
1319#107C22×D6111yescharacteristic
1320#106—611no—
1321#106—611no—
1322#106C22×D6111yescharacteristic
1323#106C22×D6111yescharacteristic
1324C4⋊C8—611no—
1325C4⋊C8—611no—
1326C4⋊C8—611no—
1327C4⋊C8—611no—
1328C4⋊C8—611no—
1329C4⋊C8—611no—
1330C4⋊C8C22×D6111yescharacteristic
1331C4⋊C8C22×D6111yescharacteristic
1332C4⋊C8C22×D6111yescharacteristic
1333C4⋊C8C22×D6111yescharacteristic
1334#103—611no—
1335#103—611no—
1336#103—611no—
1337#103—611no—
1338#103—611no—
1339#103—611no—
1340#103—611no—
1341#103—611no—
1342#103—611no—
1343#103—611no—
1344#103C22×D6111yescharacteristic
1345#103C22×D6111yescharacteristic
1346#102—611no—
1347#102—611no—
1348#102—611no—
1349#102—611no—
1350#102—611no—
1351#102—611no—
1352#102—611no—
1353#102—611no—
1354#102—611no—
1355#102—611no—
1356#102—611no—
1357#102—611no—
1358#102—611no—
1359#102—611no—
1360#102C22×D6111yescharacteristic
1361#102C22×D6111yescharacteristic
1362#102C22×D6111yescharacteristic
1363#102C22×D6111yescharacteristic
1364#102C22×D6111yescharacteristic
1365#102C22×D6111yescharacteristic
1366C22⋊C8—611no—
1367C22⋊C8—611no—
1368C22⋊C8—611no—
1369C22⋊C8—611no—
1370C22⋊C8—611no—
1371C22⋊C8—611no—
1372#97—611no—
1373#97—611no—
1374#97—611no—
1375#97—611no—
1376C4×C8—611no—
1377C4×C8—611no—
1378C24—1221no—
1379C24—1221no—
1380#41—1222no—
1381#41—1222no—
1382#41—4882no—
1383#41—4882no—
1384#41—2441no—
1385#41—2441no—
1386#41—2441no—
1387#41—2441no—
1388#41—2441no—
1389#41—2441no—
1390#41—2441no—
1391#41—2441no—
1392#41—2441no—
1393#41—2441no—
1394C2×Q8—21no—
1395C2×Q8—611no—
1396C2×Q8—611no—
1397C2×Q8—611no—
1398C2×Q8—611no—
1399C2×Q8—1221no—
1400C2×Q8—1222no—
1401C2×Q8—1221no—
1402C2×Q8—2441no—
1403C2×Q8C23×D6111yescharacteristic
1404C2×D4—21no—
1405C2×D4—21no—
1406C2×D4—21no—
1407C2×D4—21no—
1408C2×D4—21no—
1409C2×D4—611no—
1410C2×D4—611no—
1411C2×D4—611no—
1412C2×D4—611no—
1413C2×D4—611no—
1414C2×D4—611no—
1415C2×D4—1221no—
1416C2×D4—1221no—
1417C2×D4—1221no—
1418C2×D4—1221no—
1419C2×D4—1221no—
1420C2×D4—1221no—
1421C2×D4—1221no—
1422C2×D4—1221no—
1423C2×D4—1221no—
1424C2×D4—1221no—
1425C2×D4—1221no—
1426C2×D4—1221no—
1427C2×D4—1221no—
1428C2×D4—1221no—
1429C2×D4—1221no—
1430C2×D4—1221no—
1431C2×D4—1221no—
1432C2×D4—1221no—
1433C2×D4—1221no—
1434C2×D4—1221no—
1435C2×D4—1221no—
1436C2×D4—4882no—
1437C2×D4—2441no—
1438C2×D4—2441no—
1439C2×D4—2441no—
1440C2×D4—2441no—
1441C2×D4C23×D6111yescharacteristic
1442C2×D4C23×D6111yescharacteristic
1443C2×D4C23×D6111yescharacteristic
1444C22×C4—21no—
1445C22×C4—21no—
1446C22×C4—21no—
1447C22×C4—611no—
1448C22×C4—611no—
1449C22×C4—611no—
1450C22×C4—611no—
1451C22×C4—1221no—
1452C22×C4—1221no—
1453C22×C4—1221no—
1454C22×C4—1221no—
1455C22×C4—1221no—
1456C22×C4—1221no—
1457C22×C4—1221no—
1458C22×C4—1221no—
1459C22×C4—1221no—
1460C22×C4—1221no—
1461C22×C4—1221no—
1462C22×C4—1221no—
1463C22×C4—1221no—
1464C22×C4C23×D6111yescharacteristic
1465Q16—1222no—
1466Q16—1222no—
1467Q16—2441no—
1468Q16—2441no—
1469SD16—41no—
1470SD16—41no—
1471SD16—1222no—
1472SD16—1222no—
1473SD16—1222no—
1474SD16—1222no—
1475SD16—2441no—
1476SD16—2441no—
1477SD16—2441no—
1478SD16—2441no—
1479SD16—2441no—
1480SD16—2441no—
1481D8—41no—
1482D8—41no—
1483D8—2441no—
1484D8—2441no—
1485D8—2441no—
1486D8—2441no—
1487D8—2441no—
1488D8—2441no—
1489M16—41no—
1490M16—2441no—
1491C2×C8—41no—
1492C2×C8—611no—
1493C2×C8—611no—
1494C2×C8—611no—
1495C2×C8—611no—
1496C2×C8—2441no—
1497C2×C8—2441no—
1498C2×C8—2441no—
1499C2×C8C23×D6111yescharacteristic
1500C2×C8C23×D6111yescharacteristic
1501C2×C8C23×D6111yescharacteristic
1502C2×C8C23×D6111yescharacteristic
1503C4⋊C4—21no—
1504C4⋊C4—21no—
1505C4⋊C4—21no—
1506C4⋊C4—21no—
1507C4⋊C4—21no—
1508C4⋊C4—611no—
1509C4⋊C4—611no—
1510C4⋊C4—611no—
1511C4⋊C4—611no—
1512C4⋊C4—611no—
1513C4⋊C4—611no—
1514C4⋊C4—611no—
1515C4⋊C4—611no—
1516C4⋊C4—611no—
1517C4⋊C4—611no—
1518C4⋊C4—1221no—
1519C4⋊C4—1221no—
1520C4⋊C4—1221no—
1521C4⋊C4—1221no—
1522C4⋊C4—1221no—
1523C4⋊C4—1221no—
1524C4⋊C4—1221no—
1525C4⋊C4—1221no—
1526C4⋊C4—1221no—
1527C4⋊C4—1221no—
1528C4⋊C4—1221no—
1529C4⋊C4—1221no—
1530C4⋊C4—1221no—
1531C4⋊C4—1221no—
1532C4⋊C4—1221no—
1533C4⋊C4—1221no—
1534C4⋊C4D4×D6111yescharacteristic
1535C4⋊C4D4×D6111yescharacteristic
1536C4⋊C4C23×D6111yescharacteristic
1537C4⋊C4C23×D6111yescharacteristic
1538C4⋊C4C23×D6111yescharacteristic
1539C4⋊C4C23×D6111yescharacteristic
1540C22⋊C4—21no—
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4—21no—
1548C22⋊C4—21no—
1549C22⋊C4—611no—
1550C22⋊C4—611no—
1551C22⋊C4—611no—
1552C22⋊C4—611no—
1553C22⋊C4—611no—
1554C22⋊C4—611no—
1555C22⋊C4—611no—
1556C22⋊C4—611no—
1557C22⋊C4—1221no—
1558C22⋊C4—1221no—
1559C22⋊C4—1221no—
1560C22⋊C4—1221no—
1561C22⋊C4—1221no—
1562C22⋊C4—1221no—
1563C22⋊C4—1221no—
1564C22⋊C4—1221no—
1565C22⋊C4—1221no—
1566C22⋊C4—1221no—
1567C22⋊C4—1221no—
1568C22⋊C4—1221no—
1569C22⋊C4—1221no—
1570C22⋊C4—1221no—
1571C22⋊C4—1221no—
1572C22⋊C4—1221no—
1573C22⋊C4—1221no—
1574C22⋊C4—1221no—
1575C22⋊C4—1221no—
1576C22⋊C4—1221no—
1577C22⋊C4—1221no—
1578C22⋊C4—1221no—
1579C22⋊C4—1221no—
1580C22⋊C4—1221no—
1581C22⋊C4—1221no—
1582C22⋊C4D4×D6111yescharacteristic
1583C22⋊C4D4×D6111yescharacteristic
1584C42—21no—
1585C42—611no—
1586C42—611no—
1587C42—611no—
1588C42—611no—
1589C42—1221no—
1590C42—1221no—
1591C42—1221no—
1592C42—1221no—
1593C42—1221no—
1594C42—1221no—
1595C42—1221no—
1596C42—1221no—
1597C42—1221no—
1598C42C23×D6111yescharacteristic
1599C42C23×D6111yescharacteristic
1600C23—21no—
1601C23—21no—
1602C23—21no—
1603C23—611no—
1604C23—611no—
1605C23—1221no—
1606C23—1221no—
1607C23—1221no—
1608C23—4881no—
1609C23—4881no—
1610C23—4881no—
1611C23—4881no—
1612C23—4881no—
1613C23—4881no—
1614C23C2×D4×D6111yescharacteristic
1615Q8—21no—
1616Q8—21no—
1617Q8—81no—
1618Q8—612no—
1619Q8—1221no—
1620Q8—1221no—
1621Q8—1221no—
1622Q8—1221no—
1623Q8—1221no—
1624Q8—4881no—
1625Q8—2441no—
1626Q8—2442no—
1627D4—21no—
1628D4—21no—
1629D4—21no—
1630D4—21no—
1631D4—21no—
1632D4—21no—
1633D4—81no—
1634D4—81no—
1635D4—81no—
1636D4—81no—
1637D4—81no—
1638D4—1221no—
1639D4—1221no—
1640D4—1221no—
1641D4—1221no—
1642D4—1221no—
1643D4—1221no—
1644D4—4881no—
1645D4—4881no—
1646D4—4881no—
1647D4—4881no—
1648D4—4881no—
1649D4—4881no—
1650D4—4881no—
1651D4—4881no—
1652D4—4881no—
1653D4—4881no—
1654D4—4881no—
1655D4—4881no—
1656D4—4881no—
1657D4—4881no—
1658D4—4881no—
1659D4—4881no—
1660D4—4881no—
1661D4—4881no—
1662D4—2441no—
1663D4—2441no—
1664D4—2441no—
1665D4—2442no—
1666D4—2442no—
1667D4—2442no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—81no—
1676C2×C4—81no—
1677C2×C4—81no—
1678C2×C4—611no—
1679C2×C4—611no—
1680C2×C4—611no—
1681C2×C4—611no—
1682C2×C4—611no—
1683C2×C4—611no—
1684C2×C4—1221no—
1685C2×C4—1221no—
1686C2×C4—1221no—
1687C2×C4—1221no—
1688C2×C4—1221no—
1689C2×C4—1221no—
1690C2×C4—1221no—
1691C2×C4—1221no—
1692C2×C4—1221no—
1693C2×C4—4881no—
1694C2×C4—4881no—
1695C2×C4—4881no—
1696C2×C4—4881no—
1697C2×C4—4881no—
1698C2×C4—4881no—
1699C2×C4—4881no—
1700C2×C4—4881no—
1701C2×C4—2441no—
1702C2×C4—2441no—
1703C2×C4—2442no—
1704C2×C4—2442no—
1705C2×C4—2442no—
1706C2×C4—2442no—
1707C2×C4—2442no—
1708C2×C4C2×D4×D6111yescharacteristic
1709C2×C4C2×D4×D6111yescharacteristic
1710C2×C4C2×D4×D6111yescharacteristic
1711C2×C4C2×D4×D6111yescharacteristic
1712C2×C4C2×D4×D6111yescharacteristic
1713C2×C4C24×D6111yescharacteristic
1714C8—21no—
1715C8—21no—
1716C8—21no—
1717C8—21no—
1718C8—1221no—
1719C8—1221no—
1720C8—1221no—
1721C8—1221no—
1722C22—21no—
1723C22—21no—
1724C22—21no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—1221no—
1735C22—1221no—
1736C22—1221no—
1737C22—1221no—
1738C22—1221no—
1739C22—1221no—
1740C22—9762no—
1741C22—9762no—
1742C22—2441no—
1743C22—2441no—
1744C22—2441no—
1745C22—2441no—
1746C22—2441no—
1747C22—2441no—
1748C22—2441no—
1749C22—2441no—
1750C22—2441no—
1751C22C22×D4×D6111yescharacteristic
1752C4—21no—
1753C4—21no—
1754C4—21no—
1755C4—21no—
1756C4—21no—
1757C4—41no—
1758C4—41no—
1759C4—41no—
1760C4—41no—
1761C4—41no—
1762C4—1221no—
1763C4—1221no—
1764C4—1222no—
1765C4—1221no—
1766C4—1221no—
1767C4—1221no—
1768C4—1221no—
1769C4—2441no—
1770C4—2441no—
1771C4—2441no—
1772C4—2441no—
1773C4H(5,𝔽2)×D6111yescharacteristic
1774C4#1684059911yescharacteristic
1775C2—41no—
1776C2—81no—
1777C2—81no—
1778C2—81no—
1779C2—4881no—
1780C2—4881no—
1781C2—4881no—
1782C2—2441no—
1783C2—2441no—
1784C2#2145948311yescharacteristic
1785C2#2146059111yescharacteristic
1786C2#2146059411yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3257C2
socleC22×C61C23×D4
hypercenter#3257D61
hypocenterC61#62026
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ #117 ◁ #3257

Complements

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

NH ≅ G/Ntype
1. #21460188C2semidirect
2. #21459922C2semidirect
3. #21458878C2semidirect
4. #21458865C2semidirect
5. #21458659C2semidirect
6. #21458551C2semidirect
7. #21457970C2semidirect
8. #21457955C2semidirect
9. #21457942C2semidirect
10. #21457801C2semidirect
11. #21457764C2semidirect
12. #21457651C2semidirect
13. #21457574C2semidirect
14. #21457523C2semidirect
15. #21457411C2semidirect
16. #21457381C2semidirect
17. #21457365C2semidirect
18. #21457311C2semidirect
19. #21457279C2semidirect
20. #21457147C2semidirect
21. #21456912C2semidirect
22. #21456863C2semidirect
23. #21456855C2semidirect
24. #21456101C2semidirect
25. #21456042C2semidirect
26. #21455972C2semidirect
27. #21455359C2semidirect
28. #21455341C2semidirect
29. #21455271C2semidirect
30. #21454956C2semidirect
31. C61×#3257C2semidirect
32. C2×#14519810C22semidirect
34. C2×#14519798C22semidirect
35. C2×#14519798C22semidirect
36. C2×#14519796C22semidirect
40. #16840498C22semidirect
42. #16840489C22semidirect
45. #16840476C22semidirect
49. #16840450C22semidirect
53. #16840432C22semidirect
56. #16840418C22semidirect
64. #16840377C22semidirect
74. #16840294C22semidirect
78. #16840241C22semidirect
79. #16840239C22semidirect
80. C4×#11758224C22semidirect
81. #16840153C22semidirect
83. #16840150C22semidirect
86. #16840138C22semidirect
87. #16840129C22semidirect
88. #16840128C22semidirect
92. #16840107C22semidirect
93. #16840100C22semidirect
94. #16840094C22semidirect
96. #16840089C22semidirect
100. #16840061C22semidirect
101. #16840056C22semidirect
102. #16840054C22semidirect
103. #16840044C22semidirect
104. #16840041C22semidirect
106. #16840007C22semidirect
107. #16840004C22semidirect
110. #16839997C22semidirect
112. #16839992C22semidirect
116. #16839985C22semidirect
117. #16839985C22semidirect
118. #16839983C22semidirect
119. #16839981C22semidirect
120. #16839981C22semidirect
122. #16839977C22semidirect
123. #16839977C22semidirect
125. #16839976C22semidirect
126. #16839976C22semidirect
127. #16839971C22semidirect
128. #16839965C22semidirect
131. #16839963C22semidirect
132. #16839963C22semidirect
134. #16839961C22semidirect
138. #16839955C22semidirect
139. #16839927C22semidirect
140. #16839927C22semidirect
141. #16839925C22semidirect
142. #16839925C22semidirect
143. #16839917C22semidirect
147. #16839908C22semidirect
148. #16839906C22semidirect
149. #16839906C22semidirect
150. #16839905C22semidirect
151. #16839905C22semidirect
152. #16839904C22semidirect
157. #16839891C22semidirect
158. #16839889C22semidirect
160. #16839871C22semidirect
161. #16839871C22semidirect
162. #16839868C22semidirect
163. #16839867C22semidirect
164. #16839862C22semidirect
166. #16839861C22semidirect
167. C4×#11758202C22semidirect
168. #16839853C22semidirect
169. #16839849C22semidirect
170. C4×#11758200C22semidirect
172. #16839832C22semidirect
174. #16839831C22semidirect
175. #16839827C22semidirect
176. C8×C22⋊D61C22semidirect
177. #16839823C22semidirect
178. #16839822C22semidirect
179. #16839818C22semidirect
180. #16839787C22semidirect
181. C4⋊C8×D61C22semidirect
183. #16839762C22semidirect
184. #16839759C22semidirect
185. #16839757C22semidirect
186. #16839755C22semidirect
189. C61×#540C22semidirect
190. C61×#479C22semidirect
191. C61×#478C22semidirect
192. C61×#476C22semidirect
193. C61×#474C22semidirect
195. C61×#468C22semidirect
197. C61×#465C22semidirect
198. C61×#463C22semidirect
199. C61×#463C22semidirect
200. C61×#460C22semidirect
201. C61×#459C22semidirect
202. C61×#424C22semidirect
901. #3257D61semidirect
960. #540C2×D61semidirect
994. #479C2×D61semidirect
997. #478C2×D61semidirect
1000. #476C2×D61semidirect
1003. #474C2×D61semidirect
1007. #468C2×D61semidirect
1015. #465C2×D61semidirect
1030. #463C2×D61semidirect
1031. #463C2×D61semidirect
1040. #460C2×D61semidirect
1045. #459C2×D61semidirect
1088. #424C2×D61semidirect
1096. C61#62026semidirect

Maximal subgroups

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

subgroupindex
#214601882
#214599222
#214588782
#214588652
#214586592
#214585512
#214579702
#214579552
#214579422
#214578012
#214577642
#214576512
#214575742
#214575232
#214574112
#214573812
#214573652
#214573112
#214572792
#214571472
#214569122
#214568632
#214568552
#214561012
#214560422
#214559722
#214553592
#214553412
#214552712
#214549562
C61×#32572
#6202661