Finite Group Databasebeta

← #30576036

Subgroups — #30576036

Order 15616.

1708 conjugacy classes of subgroups.

The subgroup lattice has 1632 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459791C211yesmaximal, characteristic, complemented
2#21459434C211yesmaximal, characteristic, complemented
3#21458735C211yesmaximal, characteristic, complemented
4#21458721C211yesmaximal, characteristic, complemented
5#21458625C211yesmaximal, characteristic, complemented
6#21458603C211yesmaximal, characteristic, complemented
7#21458430C211yesmaximal, characteristic, complemented
8#21458399C211yesmaximal, characteristic, complemented
9#21458365C211yesmaximal, characteristic, complemented
10#21458361C211yesmaximal, characteristic, complemented
11#21458356C211yesmaximal, characteristic, complemented
12#21458350C211yesmaximal, characteristic, complemented
13#21458131C211yesmaximal, characteristic, complemented
14#21458120C211yesmaximal, characteristic, complemented
15#21457916C211yesmaximal, characteristic, complemented
16#21457912C211yesmaximal, characteristic, complemented
17#21457796C211yesmaximal, characteristic, complemented
18#21457792C211yesmaximal, characteristic, complemented
19#21457193C211yesmaximal, characteristic, complemented
20#21457191C211yesmaximal, characteristic, complemented
21#21457155C211yesmaximal, characteristic, complemented
22#21457025C211yesmaximal, characteristic, complemented
23#21457023C211yesmaximal, characteristic, complemented
24#21456977C211yesmaximal, characteristic, complemented
25#21455933C211yesmaximal, characteristic, complemented
26#21455928C211yesmaximal, characteristic, complemented
27#21455842C211yesmaximal, characteristic, complemented
28#21455636C211yesmaximal, characteristic, complemented
29#21455604C211yesmaximal, characteristic, complemented
30#21454933C211yesmaximal, characteristic, complemented
31C61×#3080C211yesmaximal, characteristic, complemented
32#16840490C2211yescharacteristic
33#16840489C2211yescharacteristic
34#16840485C2211yescharacteristic
35#16840480C2211yescharacteristic
36#16840480C2211yescharacteristic
37#16840468C2211yescharacteristic
38#16840467C2211yescharacteristic
39#16840465C2211yescharacteristic
40#16840460C2211yescharacteristic
41#16840452—21no—
42#16840450C2211yescharacteristic
43#16840447—21no—
44#16840447C2211yescharacteristic
45#16840445—21no—
46#16840445—21no—
47#16840444—21no—
48#16840444—21no—
49D4×Dic122C2211yescharacteristic
50#16840421—21no—
51#16840416C2211yescharacteristic
52#16840413—21no—
53#16840413C2211yescharacteristic
54#16840411C2211yescharacteristic
55#16840411C2211yescharacteristic
56#16840371—21no—
57#16840360—21no—
58#16840359—21no—
59#16840319C2211yescharacteristic
60#16840318C2211yescharacteristic
61#16840316C2211yescharacteristic
62#16840316C2211yescharacteristic
63#16840297C2211yescharacteristic
64#16840297C2211yescharacteristic
65#16840296—21no—
66#16840296C2211yescharacteristic
67#16840292—21no—
68#16840292—21no—
69#125×D61C2211yescharacteristic
70#16840243—21no—
71C4×#11758222C2211yescharacteristic
72C4×#11758224C2211yescharacteristic
73C4×#11758224C2211yescharacteristic
74C2×C4×Dic122—21no—
75#16840172C2211yescharacteristic
76#16840172C2211yescharacteristic
77#16840170C2211yescharacteristic
78#16840169C2211yescharacteristic
79#16840166C2211yescharacteristic
80#16840159C2211yescharacteristic
81#16840132C2211yescharacteristic
82#16840132C2211yescharacteristic
83#16840129C2211yescharacteristic
84#16840129C2211yescharacteristic
85#16840111C2211yescharacteristic
86#16840111C2211yescharacteristic
87#16840106C2211yescharacteristic
88#16840106C2211yescharacteristic
89#16840105C2211yescharacteristic
90#16840105C2211yescharacteristic
91#16840103C2211yescharacteristic
92#16840102C2211yescharacteristic
93#16840101C2211yescharacteristic
94#16840099C2211yescharacteristic
95#16840097C2211yescharacteristic
96#16840097C2211yescharacteristic
97#16840096C2211yescharacteristic
98#16840094C2211yescharacteristic
99#16840092C2211yescharacteristic
100#16840092C2211yescharacteristic
101#16840091C2211yescharacteristic
102#16840089C2211yescharacteristic
103#16840088C2211yescharacteristic
104#16840086C2211yescharacteristic
105#16840072C2211yescharacteristic
106#16840070C2211yescharacteristic
107#16840070C2211yescharacteristic
108#16840069C2211yescharacteristic
109#16840068C2211yescharacteristic
110#16840066C2211yescharacteristic
111#16840066C2211yescharacteristic
112#16840066C2211yescharacteristic
113#16840066C2211yescharacteristic
114#16840064C2211yescharacteristic
115#16840062C2211yescharacteristic
116#16840060C2211yescharacteristic
117#16840058C2211yescharacteristic
118#16840056C2211yescharacteristic
119#16840056C2211yescharacteristic
120#16840053C2211yescharacteristic
121#16840051C2211yescharacteristic
122#16840050C2211yescharacteristic
123#16840046C2211yescharacteristic
124#16840046C2211yescharacteristic
125#16840041C2211yescharacteristic
126#16840040C2211yescharacteristic
127#16840021C2211yescharacteristic
128#16840020C2211yescharacteristic
129#16840020C2211yescharacteristic
130#16840019C2211yescharacteristic
131#16840011C2211yescharacteristic
132#16840009C2211yescharacteristic
133#16840008C2211yescharacteristic
134#16840008C2211yescharacteristic
135#16840004C2211yescharacteristic
136#16840002C2211yescharacteristic
137#16839994C2211yescharacteristic
138#16839992C2211yescharacteristic
139#16839985C2211yescharacteristic
140#16839985C2211yescharacteristic
141#16839984C2211yescharacteristic
142#16839977C2211yescharacteristic
143#16839973C2211yescharacteristic
144#16839971C2211yescharacteristic
145#16839971C2211yescharacteristic
146#16839968C2211yescharacteristic
147#16839966C2211yescharacteristic
148#16839966C2211yescharacteristic
149#16839925C2211yescharacteristic
150#16839925C2211yescharacteristic
151#16839924C2211yescharacteristic
152#16839908C2211yescharacteristic
153#16839908C2211yescharacteristic
154#16839907C2211yescharacteristic
155#16839891C2211yescharacteristic
156#16839891C2211yescharacteristic
157#16839872C2211yescharacteristic
158#16839871C2211yescharacteristic
159#16839868C2211yescharacteristic
160#16839867C2211yescharacteristic
161#16839862C2211yescharacteristic
162#16839861C2211yescharacteristic
163#16839860C2211yescharacteristic
164#16839859C2211yescharacteristic
165#16839856C2211yescharacteristic
166#16839853C2211yescharacteristic
167#16839849C2211yescharacteristic
168#16839842C2211yescharacteristic
169#16839838C2211yescharacteristic
170#16839838C2211yescharacteristic
171#16839832C2211yescharacteristic
172#16839832C2211yescharacteristic
173#16839831C2211yescharacteristic
174#16839831C2211yescharacteristic
175#16839819C2211yescharacteristic
176#16839818C2211yescharacteristic
177#16839814C2211yescharacteristic
178#16839803C2211yescharacteristic
179#16839801C2211yescharacteristic
180#16839799C2211yescharacteristic
181#16839797C2211yescharacteristic
182#16839784C2211yescharacteristic
183C4⋊C8×D61C2211yescharacteristic
184#16839760C2211yescharacteristic
185#16839760C2211yescharacteristic
186#16839755C2211yescharacteristic
187#16839755C2211yescharacteristic
188C2×#125×C61C2211yescharacteristic
189C4×#41×C61C2211yescharacteristic
190C61×#479C2211yescharacteristic
191C61×#479C2211yescharacteristic
192C61×#479C2211yescharacteristic
193C61×#479C2211yescharacteristic
194C61×#478C2211yescharacteristic
195C61×#478C2211yescharacteristic
196C61×#478C2211yescharacteristic
197C61×#478C2211yescharacteristic
198C61×#428C2211yescharacteristic
199C61×#428C2211yescharacteristic
200C61×#423C2211yescharacteristic
201C61×#417C2211yescharacteristic
202C61×#417C2211yescharacteristic
203C2×#11758222—21no—
204C2×#11758222D411yescharacteristic
205C2×#11758224C2311yescharacteristic
206C2×#11758224C2311yescharacteristic
207C22×Dic122—21no—
208C2×Dic244C2311yescharacteristic
209C2×Dic244C2311yescharacteristic
210C2×#11758202C2311yescharacteristic
211C2×#11758190C2311yescharacteristic
212C2×#11758190C2311yescharacteristic
213C2×#11758200C2311yescharacteristic
214C2×#11758201C2311yescharacteristic
215C2×#11758199C2311yescharacteristic
216C2×#11758189C2311yescharacteristic
217C2×#11758189C2311yescharacteristic
218C2×C8×D61C2311yescharacteristic
219C2×C8×D61C2311yescharacteristic
220#14519777C2311yescharacteristic
221#14519777C2311yescharacteristic
222#14519776—21no—
223#14519776C2311yescharacteristic
224#14519776C2311yescharacteristic
225#14519776C2311yescharacteristic
226#14519776C2311yescharacteristic
227#14519775C2311yescharacteristic
228#14519775C2311yescharacteristic
229#14519772—21no—
230#14519772—21no—
231#14519772—21no—
232#14519772—21no—
233#14519772—21no—
234#14519772—21no—
235#14519772—21no—
236#14519772—21no—
237#14519771—21no—
238#14519771—21no—
239#14519771—21no—
240#14519770—21no—
241#14519770—21no—
242#14519769—21no—
243#14519769—21no—
244#14519769C2311yescharacteristic
245#14519768—21no—
246#14519768C2311yescharacteristic
247#14519768C2311yescharacteristic
248#14519767—21no—
249#14519767—21no—
250#14519767—21no—
251#14519767—21no—
252#14519767—21no—
253#14519767—21no—
254#14519767—21no—
255#14519767—21no—
256#14519767—21no—
257#14519767—21no—
258#14519765—21no—
259#14519765C2311yescharacteristic
260#14519763—21no—
261#14519763—21no—
262#14519762—21no—
263#14519762—21no—
264#14519762—21no—
265#14519762—21no—
266#14519762—21no—
267#14519762—21no—
268#14519761—21no—
269#14519761—21no—
270#14519760—21no—
271#14519760—21no—
272#14519760—21no—
273#14519760—21no—
274#14519760—21no—
275#14519758—21no—
276#14519758—21no—
277#14519757—21no—
278#14519757C2311yescharacteristic
279#14519757C2311yescharacteristic
280#14519757C2311yescharacteristic
281#14519757C2311yescharacteristic
282#14519756—21no—
283#14519756—21no—
284#14519756—21no—
285#14519756C2311yescharacteristic
286#14519756C2311yescharacteristic
287#14519756C2311yescharacteristic
288#14519755—21no—
289#14519755—21no—
290#14519755—21no—
291#14519755—21no—
292#14519755—21no—
293#14519755—21no—
294#14519755—21no—
295#14519755—21no—
296#14519754—21no—
297#14519754—21no—
298#14519753C2311yescharacteristic
299#14519753C2311yescharacteristic
300#14519752—21no—
301#14519752C2311yescharacteristic
302#14519752C2311yescharacteristic
303#14519751—21no—
304#14519751—21no—
305#14519751C2311yescharacteristic
306#14519749—21no—
307#14519749—21no—
308C4×Dic122—21no—
309C4×Dic122—21no—
310C4×Dic122—21no—
311C4×Dic122—21no—
312C4×Dic122—21no—
313C4×Dic122—21no—
314C4×Dic122—21no—
315C4×Dic122D411yescharacteristic
316C4×Dic122C2311yescharacteristic
317C4×Dic122C2311yescharacteristic
318C4×Dic122C2311yescharacteristic
319C4×Dic122C2311yescharacteristic
320#14519742—21no—
321#14519742—21no—
322#14519742—21no—
323#14519742C2311yescharacteristic
324#14519742C2311yescharacteristic
325#14519742C2311yescharacteristic
326#14519742C2311yescharacteristic
327C4×D244D411yescharacteristic
328C4×D244C2311yescharacteristic
329C4×D244C2311yescharacteristic
330D4×Dic61C2311yescharacteristic
331D4×Dic61C2311yescharacteristic
332#14519739—21no—
333#14519739—21no—
334#14519739—21no—
335#14519739C2311yescharacteristic
336#14519739C2311yescharacteristic
337C4×C22⋊D61—21no—
338C4×C22⋊D61—21no—
339C4×C22⋊D61—21no—
340C4×C22⋊D61—21no—
341C4×C22⋊D61—21no—
342C4×C22⋊D61D411yescharacteristic
343C4×C22⋊D61D411yescharacteristic
344C4×C22⋊D61C2311yescharacteristic
345C4×C22⋊D61C2311yescharacteristic
346#14519737—21no—
347#14519737—21no—
348#14519736—21no—
349#14519736—21no—
350#14519736D411yescharacteristic
351#14519735—21no—
352#14519735—21no—
353#14519735—21no—
354#14519735C2311yescharacteristic
355#14519735C2311yescharacteristic
356#14519735C2311yescharacteristic
357#14519735C2311yescharacteristic
358#14519734—21no—
359#14519734—21no—
360#14519734—21no—
361#14519734D411yescharacteristic
362#14519734D411yescharacteristic
363#14519733—21no—
364#14519733—21no—
365C2×C4⋊Dic61—21no—
366C2×#11758196—21no—
367C2×#11758196—21no—
368C4⋊C4×D61—21no—
369C4⋊C4×D61—21no—
370C4⋊C4×D61—21no—
371C4⋊C4×D61C2311yescharacteristic
372C4⋊C4×D61C2311yescharacteristic
373C2×C4×Dic61—21no—
374C2×C4×Dic61—21no—
375C42×D61C2311yescharacteristic
376C42×D61C2311yescharacteristic
377#14519711C2311yescharacteristic
378#14519711C2311yescharacteristic
379#14519710C2311yescharacteristic
380#14519710C2311yescharacteristic
381#14519710C2311yescharacteristic
382#14519710C2311yescharacteristic
383#14519710C2311yescharacteristic
384#14519710C2311yescharacteristic
385#14519709C2311yescharacteristic
386#14519709C2311yescharacteristic
387#14519708C2311yescharacteristic
388#14519708C2311yescharacteristic
389#14519708C2311yescharacteristic
390#14519708C2311yescharacteristic
391#14519708C2311yescharacteristic
392#14519708C2311yescharacteristic
393C4⋊#92418C2311yescharacteristic
394C4⋊#92418C2311yescharacteristic
395#14519706C2311yescharacteristic
396#14519706C2311yescharacteristic
397#14519706C2311yescharacteristic
398#14519706C2311yescharacteristic
399#14519702C2311yescharacteristic
400#14519702C2311yescharacteristic
401#14519702C2311yescharacteristic
402#14519702C2311yescharacteristic
403#14519702C2311yescharacteristic
404#14519702C2311yescharacteristic
405#14519701C2311yescharacteristic
406#14519701C2311yescharacteristic
407#14519700C2311yescharacteristic
408#14519700C2311yescharacteristic
409#14519700C2311yescharacteristic
410#14519700C2311yescharacteristic
411#14519700C2311yescharacteristic
412#14519700C2311yescharacteristic
413#14519700C2311yescharacteristic
414#14519700C2311yescharacteristic
415#14519700C2311yescharacteristic
416#14519700C2311yescharacteristic
417#14519699C2311yescharacteristic
418#14519699C2311yescharacteristic
419#14519698C2311yescharacteristic
420#14519698C2311yescharacteristic
421#14519697C2311yescharacteristic
422#14519697C2311yescharacteristic
423C22⋊#92418C2311yescharacteristic
424C22⋊#92418C2311yescharacteristic
425#14519689C2311yescharacteristic
426#14519689C2311yescharacteristic
427#14519689C2311yescharacteristic
428#14519689C2311yescharacteristic
429#14519688C2311yescharacteristic
430#14519688C2311yescharacteristic
431#14519687C2311yescharacteristic
432#14519687C2311yescharacteristic
433C8×Dic61C2311yescharacteristic
434C8×Dic61C2311yescharacteristic
435C2×#41×C61C2311yescharacteristic
436C2×M16×C61C2311yescharacteristic
437C2×M16×C61C2311yescharacteristic
438#125×C61—21no—
439#125×C61—21no—
440#125×C61C2311yescharacteristic
441#125×C61C2311yescharacteristic
442#125×C61C2311yescharacteristic
443#125×C61C2311yescharacteristic
444C4×Q8×C61C2311yescharacteristic
445C4×Q8×C61C2311yescharacteristic
446C4×D4×C61—21no—
447C4×D4×C61—21no—
448C4×D4×C61C2311yescharacteristic
449C4×D4×C61C2311yescharacteristic
450#117×C61—21no—
451#117×C61C2311yescharacteristic
452C2×C4⋊C4×C61—21no—
453C2×C4⋊C4×C61—21no—
454C2×C4⋊C4×C61C2311yescharacteristic
455C2×C4⋊C4×C61C2311yescharacteristic
456C2×C42×C61—21no—
457C2×C42×C61C2311yescharacteristic
458#107×C61C2311yescharacteristic
459#107×C61C2311yescharacteristic
460#107×C61C2311yescharacteristic
461#107×C61C2311yescharacteristic
462#106×C61C2311yescharacteristic
463#106×C61C2311yescharacteristic
464#106×C61C2311yescharacteristic
465#106×C61C2311yescharacteristic
466C4⋊C8×C61C2311yescharacteristic
467C4⋊C8×C61C2311yescharacteristic
468C4⋊C8×C61C2311yescharacteristic
469C4⋊C8×C61C2311yescharacteristic
470#103×C61C2311yescharacteristic
471#103×C61C2311yescharacteristic
472#103×C61C2311yescharacteristic
473#103×C61C2311yescharacteristic
474#102×C61C2311yescharacteristic
475#102×C61C2311yescharacteristic
476#102×C61C2311yescharacteristic
477#102×C61C2311yescharacteristic
478#41×C61—22no—
479#41×C61—41no—
480C2×Q8×C61C2411yescharacteristic
481C2×D4×C61—21no—
482C2×D4×C61C2411yescharacteristic
483C22×C4×C61—21no—
484C22×C4×C61—21no—
485C22×C4×C61—21no—
486C22×C4×C61—21no—
487C22×C4×C61—21no—
488C22×C4×C61C2×D411yescharacteristic
489C22×C4×C61C2×D411yescharacteristic
490C22×C4×C61C2411yescharacteristic
491C2×C22⋊D61—21no—
492C2×C22⋊D61—21no—
493C2×C22⋊D61—21no—
494C2×C22⋊D61C2×D411yescharacteristic
495C2×C22⋊D61C2×D411yescharacteristic
496C22×Dic61—21no—
497C22×Dic61—21no—
498C22×Dic61—21no—
499C22×Dic61—21no—
500#11758224—22no—
501#11758224—22no—
502#11758224—41no—
503#11758224—41no—
504#11758222—42no—
505#11758222—44no—
506C2×D244—21no—
507C2×D244—21no—
508C2×D244C2×D411yescharacteristic
509C2×D244C2411yescharacteristic
510C2×C4×D61—21no—
511C2×C4×D61—21no—
512C2×C4×D61—21no—
513C2×C4×D61—21no—
514C2×C4×D61—21no—
515C2×C4×D61C2×D411yescharacteristic
516C2×C4×D61C2×D411yescharacteristic
517C2×C4×D61C2×D411yescharacteristic
518C2×C4×D61C2×D411yescharacteristic
519C2×C4×D61C2411yescharacteristic
520C2×C4×D61C2411yescharacteristic
521C2×Dic122—21no—
522C2×Dic122—21no—
523C2×Dic122—21no—
524C2×Dic122—21no—
525C2×Dic122—21no—
526C2×Dic122—44no—
527C2×Dic122C2×D411yescharacteristic
528C2×Dic122C2411yescharacteristic
529C2×Dic122C2411yescharacteristic
530C2×Dic122C2411yescharacteristic
531M16×C61—41no—
532M16×C61—41no—
533C2×C8×C61C2411yescharacteristic
534C2×C8×C61C2411yescharacteristic
535C2×C8×C61C2411yescharacteristic
536C2×C8×C61C2411yescharacteristic
537C4⋊C4×C61—21no—
538C4⋊C4×C61—21no—
539C4⋊C4×C61—21no—
540C4⋊C4×C61—21no—
541C4⋊C4×C61—21no—
542C4⋊C4×C61—21no—
543C4⋊C4×C61—21no—
544C4⋊C4×C61—21no—
545C4⋊C4×C61—21no—
546C4⋊C4×C61—21no—
547C4⋊C4×C61—21no—
548C4⋊C4×C61—21no—
549C4⋊C4×C61C2411yescharacteristic
550C4⋊C4×C61C2411yescharacteristic
551C4⋊C4×C61C2411yescharacteristic
552C4⋊C4×C61C2411yescharacteristic
553C4⋊C4×C61C2411yescharacteristic
554C4⋊C4×C61C2411yescharacteristic
555C22⋊C4×C61—21no—
556C22⋊C4×C61—21no—
557C22⋊C4×C61—21no—
558C42×C61—21no—
559C42×C61—21no—
560C42×C61—21no—
561C42×C61C2×D411yescharacteristic
562C42×C61C2×D411yescharacteristic
563C42×C61C2411yescharacteristic
564C42×C61C2411yescharacteristic
565C22⋊Dic61—21no—
566C22⋊Dic61—21no—
567C22⋊Dic61—21no—
568C22⋊Dic61—21no—
569C22⋊Dic61—21no—
570C22⋊Dic61C2×D411yescharacteristic
571C22⋊Dic61C2×D411yescharacteristic
572#11758202—41no—
573#11758201—41no—
574#11758200—22no—
575#11758199—22no—
576#11758198—21no—
577#11758198—21no—
578#11758198—21no—
579#11758198—21no—
580#11758198—21no—
581#11758198—21no—
582#11758198—21no—
583#11758198—21no—
584#11758198—21no—
585#11758198—21no—
586#11758198—21no—
587#11758198—21no—
588#11758198—21no—
589#11758198—21no—
590#11758198—21no—
591#11758198—21no—
592#11758198—21no—
593#11758198—21no—
594#11758198C2×D411yescharacteristic
595#11758198C2×D411yescharacteristic
596#11758198C2×D411yescharacteristic
597#11758198C2×D411yescharacteristic
598C4⋊Dic61—21no—
599C4⋊Dic61—21no—
600C4⋊Dic61—21no—
601C4⋊Dic61—21no—
602C4⋊Dic61—21no—
603C4⋊Dic61—21no—
604C4⋊Dic61—21no—
605C4⋊Dic61—21no—
606C4⋊Dic61—21no—
607C4⋊Dic61C2×D411yescharacteristic
608C4⋊Dic61C2×D411yescharacteristic
609C4⋊Dic61C2411yescharacteristic
610C4⋊Dic61C2411yescharacteristic
611C4⋊Dic61C2411yescharacteristic
612C4⋊Dic61C2411yescharacteristic
613#11758196—21no—
614#11758196—21no—
615#11758196—21no—
616#11758196—21no—
617#11758196—21no—
618#11758196—21no—
619#11758196—21no—
620#11758196—21no—
621#11758196—21no—
622#11758196—21no—
623#11758196—21no—
624#11758196—21no—
625#11758196—21no—
626#11758196—21no—
627#11758196—21no—
628#11758196—21no—
629#11758196—21no—
630#11758196—21no—
631#11758196—21no—
632#11758196—21no—
633#11758196—21no—
634#11758196—21no—
635#11758196—21no—
636#11758196—21no—
637#11758196—21no—
638#11758196—21no—
639#11758196C2×D411yescharacteristic
640#11758196C2×D411yescharacteristic
641#11758196C2×D411yescharacteristic
642#11758196C2×D411yescharacteristic
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×Dic61C2×D411yescharacteristic
655C4×Dic61C2×D411yescharacteristic
656C4×Dic61C2×D411yescharacteristic
657C4×Dic61C2×D411yescharacteristic
658C4×Dic61C2411yescharacteristic
659C4×Dic61C2411yescharacteristic
660C2×#92418C2411yescharacteristic
661C2×#92418C2411yescharacteristic
662C2×#92418C2411yescharacteristic
663C2×#92418C2411yescharacteristic
664Dic244—41no—
665Dic244—41no—
666#11758190—41no—
667#11758190—41no—
668#11758189—41no—
669#11758189—41no—
670C8×D61—41no—
671C8×D61—41no—
672C23×C61—21no—
673C23×C61C22×D411yescharacteristic
674C22×D61—21no—
675C22×D61C22×D411yescharacteristic
676C22×D61C22×D411yescharacteristic
677Q8×C61—21no—
678Q8×C61—21no—
679D4×C61—21no—
680D4×C61—42no—
681D4×C612−1+412yes—
682C2×C4×C61—21no—
683C2×C4×C61—21no—
684C2×C4×C61—21no—
685C2×C4×C61—21no—
686C2×C4×C61—21no—
687C2×C4×C61—21no—
688C2×C4×C61—21no—
689C2×C4×C61—21no—
690C2×C4×C61—21no—
691C2×C4×C61—41no—
692C2×C4×C61—41no—
693C2×C4×C61—42no—
694C2×C4×C61—42no—
695C2×C4×C61—42no—
696C2×C4×C61—42no—
697C2×C4×C61—81no—
698C2×C4×C61C22×D411yescharacteristic
699C2×C4×C61C22×D411yescharacteristic
700C2×C4×C61C22×D411yescharacteristic
701C2×C4×C61C22×D411yescharacteristic
702C2×C4×C61C22×D411yescharacteristic
703C2×C4×C61C2511yescharacteristic
704C22⋊D61—22no—
705C22⋊D61—41no—
706C22⋊D61—42no—
707C22⋊D61—42no—
708C22⋊D61—42no—
709C2×Dic61—21no—
710C2×Dic61—21no—
711C2×Dic61—21no—
712C2×Dic61—21no—
713C2×Dic61—21no—
714C2×Dic61—21no—
715C2×Dic61—21no—
716C2×Dic61—42no—
717C2×Dic61—42no—
718C2×Dic61—42no—
719C2×Dic61—42no—
720C2×Dic61C22×D411yescharacteristic
721C2×Dic61C22×D411yescharacteristic
722C2×Dic61C22×D411yescharacteristic
723C2×Dic61C22×D411yescharacteristic
724C2×Dic61C22×D411yescharacteristic
725C2×Dic61C22×D411yescharacteristic
726D244—21no—
727D244—21no—
728D244—41no—
729D244—42no—
730D244—81no—
731C4×D61—21no—
732C4×D61—21no—
733C4×D61—21no—
734C4×D61—21no—
735C4×D61—22no—
736C4×D61—41no—
737C4×D61—41no—
738C4×D61—41no—
739C4×D61—42no—
740C4×D61—42no—
741C4×D61—81no—
742C4×D61—81no—
743C4×D61—81no—
744Dic122—22no—
745Dic122—21no—
746Dic122—21no—
747Dic122—21no—
748Dic122—21no—
749Dic122—21no—
750Dic122—21no—
751Dic122—42no—
752Dic122—42no—
753Dic122—42no—
754Dic122—42no—
755Dic122—81no—
756C8×C61—21no—
757C8×C61—21no—
758C8×C61—21no—
759C8×C61—21no—
760#92418—21no—
761#92418—21no—
762#92418—21no—
763#92418—21no—
764#62121—611nomaximal, Sylow
765C22×C61—21no—
766C22×C61—22no—
767C22×C61—21no—
768C22×C61—21no—
769C22×C61—41no—
770C22×C61—41no—
771C22×C61C23×D411yescharacteristic
772C2×D61—21no—
773C2×D61—21no—
774C2×D61—21no—
775C2×D61—21no—
776C2×D61—21no—
777C2×D61—21no—
778C2×D61—41no—
779C2×D61—41no—
780C2×D61—41no—
781C4×C61—21no—
782C4×C61—21no—
783C4×C61—21no—
784C4×C61—21no—
785C4×C61—21no—
786C4×C61—41no—
787C4×C61—41no—
788C4×C61—41no—
789C4×C61—41no—
790C4×C61—41no—
791C4×C61—41no—
792C4×C61—41no—
793C4×C61C2×2−1+411yescharacteristic
794C4×C61#58511yescharacteristic
795Dic61—21no—
796Dic61—21no—
797Dic61—21no—
798Dic61—21no—
799Dic61—21no—
800Dic61—41no—
801Dic61—41no—
802Dic61—41no—
803Dic61—41no—
804Dic61—41no—
805Dic61—41no—
806Dic61—41no—
807Dic61#57512yes—
808#3515—611no—
809#3482—611no—
810#3386—611no—
811#3384—611no—
812#3374—611no—
813#3372—611no—
814#3356—611no—
815#3353—611no—
816#3350—611no—
817#3350—611no—
818#3349—611no—
819#3349—611no—
820#3331—611no—
821#3330—611no—
822#3315—611no—
823#3315—611no—
824#3307—611no—
825#3307—611no—
826#3252—611no—
827#3252—611no—
828#3248—611no—
829#3236—611no—
830#3236—611no—
831#3231—611no—
832#3111—611no—
833#3111—611no—
834#3102—611no—
835#3080—611no—
836#3080D6111yescharacteristic, complemented
837#3076—611no—
838#2989—611no—
839C2×C61—41no—
840C2×C61—42no—
841C2×C61#348911yescharacteristic
842C2×C61C2×#57511yescharacteristic
843C2×C61#358611yescharacteristic
844D61—41no—
845D61—41no—
846D61—81no—
847#557—611no—
848#557—611no—
849#556—611no—
850#556—611no—
851#556—611no—
852#554—611no—
853#554—611no—
854#553—611no—
855#553—611no—
856#552—611no—
857#552—611no—
858#552—1221no—
859#552—1221no—
860#552—1221no—
861#552—1221no—
862#552—1221no—
863#552—1221no—
864D4×Q8—611no—
865#548—1221no—
866#547—611no—
867#547—611no—
868#547—611no—
869#547—611no—
870#547—1221no—
871#541—1221no—
872#539—1221no—
873#539—1221no—
874#533—611no—
875#533—611no—
876#533—611no—
877#533—611no—
878#529—611no—
879#529—611no—
880#529—611no—
881#529—1221no—
882#529—1221no—
883#529—1221no—
884C2×#125—611no—
885C2×#125C2×D6111yescharacteristic
886#520—1221no—
887C4×#41—611no—
888C4×#41—611no—
889C4×#41—611no—
890C4×#41C2×D6111yescharacteristic
891C2×C4×Q8—1221no—
892#501—611no—
893#501—611no—
894#501—611no—
895#501—611no—
896#500—611no—
897#498—611no—
898#491—611no—
899#491—611no—
900#491—611no—
901#491—611no—
902#487—611no—
903#487—611no—
904#485—611no—
905#485—611no—
906#485—611no—
907#485—611no—
908#485—611no—
909#485—611no—
910#485—611no—
911#484—611no—
912#484—611no—
913#484—611no—
914#484—611no—
915#483—611no—
916#483—611no—
917#483—611no—
918#483—611no—
919#482—611no—
920#482—611no—
921#482—611no—
922#479—611no—
923#479—611no—
924#479—611no—
925#479—611no—
926#479—611no—
927#479—611no—
928#479—611no—
929#479—611no—
930#479—611no—
931#479C2×D6111yescharacteristic
932#479C2×D6111yescharacteristic
933#479C2×D6111yescharacteristic
934#479C2×D6111yescharacteristic
935#478—611no—
936#478—611no—
937#478—611no—
938#478C2×D6111yescharacteristic
939#478C2×D6111yescharacteristic
940#478C2×D6111yescharacteristic
941#478C2×D6111yescharacteristic
942#477—611no—
943#477—611no—
944#477—611no—
945#476—611no—
946#476—611no—
947#476—611no—
948#475—611no—
949#475—611no—
950#474—611no—
951#474—611no—
952#470—611no—
953#470—611no—
954#470—611no—
955#470—611no—
956#468—611no—
957#468—611no—
958#468—611no—
959#468—611no—
960#467—611no—
961#467—611no—
962#465—611no—
963#465—611no—
964#464—611no—
965#464—611no—
966#464—611no—
967#463—611no—
968#462—611no—
969#462—611no—
970#462—611no—
971#461—611no—
972#461—611no—
973#461—611no—
974#452—611no—
975#452—611no—
976#452—611no—
977#449—611no—
978#449—611no—
979#449—611no—
980#446—611no—
981#446—611no—
982#442—611no—
983#442—611no—
984#441—611no—
985#441—611no—
986#440—611no—
987#440—611no—
988#440—611no—
989#440—611no—
990C4×Q16—611no—
991C4×SD16—611no—
992C4×SD16—611no—
993C4×D8—611no—
994#436—611no—
995#436—611no—
996#435—611no—
997#435—611no—
998#435—611no—
999#435—611no—
1000#432—611no—
1001#432—611no—
1002#431—611no—
1003#428—611no—
1004#428—611no—
1005#428C2×D6111yescharacteristic
1006#428C2×D6111yescharacteristic
1007#427—611no—
1008#427—611no—
1009#423—611no—
1010#423C2×D6111yescharacteristic
1011C2×C4⋊C8—611no—
1012#417—611no—
1013#417—611no—
1014#417C2×D6111yescharacteristic
1015#417C2×D6111yescharacteristic
1016#416—611no—
1017#416—611no—
1018C61#6212111yescharacteristic, complemented, Sylow
1019C2×#41—611no—
1020C2×#41—611no—
1021C2×#41—611no—
1022C2×#41—1221no—
1023C2×#41C22×D6111yescharacteristic
1024C22×Q8—1221no—
1025C2×Q16—611no—
1026C2×Q16—611no—
1027C2×Q16—611no—
1028C2×SD16—611no—
1029C2×SD16—611no—
1030C2×SD16—611no—
1031C2×SD16—611no—
1032C2×D8—611no—
1033C2×M16—611no—
1034C2×M16—611no—
1035C2×M16C22×D6111yescharacteristic
1036C2×M16C22×D6111yescharacteristic
1037C22×C8—611no—
1038C22×C8—611no—
1039C4⋊Q8—611no—
1040C4⋊Q8—611no—
1041C4⋊Q8—611no—
1042C4⋊Q8—611no—
1043C4⋊Q8—611no—
1044C4⋊Q8—611no—
1045C4⋊Q8—611no—
1046C4⋊Q8—611no—
1047C4⋊Q8—1221no—
1048#126—1221no—
1049#126—1221no—
1050#126—1221no—
1051#126—1221no—
1052#126—1221no—
1053#126—1221no—
1054#126—1221no—
1055#126—1221no—
1056#126—1221no—
1057#126—1221no—
1058#126—1221no—
1059#126—1221no—
1060#126—1221no—
1061#125—21no—
1062#125—21no—
1063#125—611no—
1064#125—611no—
1065#125—611no—
1066#125—1221no—
1067#125—1221no—
1068#125—1221no—
1069#125—1221no—
1070#125—1221no—
1071#125—1221no—
1072#125—1221no—
1073#125—1221no—
1074#125—1221no—
1075#125—1221no—
1076#125—1221no—
1077#125—1221no—
1078#125—1221no—
1079#125C22×D6111yescharacteristic
1080#125C22×D6111yescharacteristic
1081#125C22×D6111yescharacteristic
1082#125C22×D6111yescharacteristic
1083#124—611no—
1084#124—1221no—
1085#124—1221no—
1086#124—1221no—
1087#123—1221no—
1088#123—1221no—
1089#123—1221no—
1090#123—1221no—
1091#123—1221no—
1092#123—1221no—
1093#123—1221no—
1094#123—1221no—
1095#123—1221no—
1096#123—1221no—
1097#123—1221no—
1098#123—1221no—
1099#123—1221no—
1100#123—1221no—
1101#123—1221no—
1102C22⋊Q8—611no—
1103C22⋊Q8—611no—
1104C22⋊Q8—611no—
1105C22⋊Q8—611no—
1106C22⋊Q8—611no—
1107C22⋊Q8—611no—
1108C22⋊Q8—611no—
1109C22⋊Q8—611no—
1110C22⋊Q8—611no—
1111C22⋊Q8—1221no—
1112C22⋊Q8—1221no—
1113C22⋊Q8—1221no—
1114C22⋊Q8—1221no—
1115C22⋊Q8—1221no—
1116C22⋊Q8—1221no—
1117C22⋊Q8—1221no—
1118C22⋊Q8—1221no—
1119C22⋊Q8—1221no—
1120C22⋊Q8—1221no—
1121C22⋊Q8—1221no—
1122C22⋊Q8—1221no—
1123C22⋊Q8—1221no—
1124C22⋊Q8—1221no—
1125#121—611no—
1126#121—611no—
1127#121—611no—
1128#121—1221no—
1129#121—1221no—
1130#121—1221no—
1131#121—1221no—
1132#121—1221no—
1133C4×Q8—611no—
1134C4×Q8—611no—
1135C4×Q8—611no—
1136C4×Q8—611no—
1137C4×Q8—611no—
1138C4×Q8—611no—
1139C4×Q8—611no—
1140C4×Q8—611no—
1141C4×Q8—611no—
1142C4×Q8—1221no—
1143C4×Q8—1221no—
1144C4×Q8—1221no—
1145C4×Q8—1221no—
1146C4×Q8—1221no—
1147C4×Q8—1221no—
1148C4×Q8—1221no—
1149C4×Q8—1221no—
1150C4×Q8—1221no—
1151C4×Q8—1221no—
1152C4×Q8C22×D6111yescharacteristic
1153C4×Q8C22×D6111yescharacteristic
1154C4×D4—21no—
1155C4×D4—21no—
1156C4×D4—611no—
1157C4×D4—611no—
1158C4×D4—611no—
1159C4×D4—611no—
1160C4×D4—611no—
1161C4×D4—611no—
1162C4×D4—611no—
1163C4×D4—611no—
1164C4×D4—611no—
1165C4×D4—611no—
1166C4×D4—611no—
1167C4×D4—1221no—
1168C4×D4—1221no—
1169C4×D4—1221no—
1170C4×D4—1221no—
1171C4×D4—1221no—
1172C4×D4—1221no—
1173C4×D4—1221no—
1174C4×D4—1221no—
1175C4×D4—1221no—
1176C4×D4—1221no—
1177C4×D4C22×D6111yescharacteristic
1178C4×D4C22×D6111yescharacteristic
1179#117—21no—
1180#117—611no—
1181#117—611no—
1182#117—611no—
1183#117—611no—
1184#117—611no—
1185#117—611no—
1186#117—611no—
1187#117—1221no—
1188#117—1221no—
1189#117—1221no—
1190#117—1221no—
1191#117—1221no—
1192#117—1221no—
1193#117—1221no—
1194#117—1221no—
1195#117—1221no—
1196#117—1221no—
1197#117C22×D6111yescharacteristic
1198C2×C4⋊C4—21no—
1199C2×C4⋊C4—21no—
1200C2×C4⋊C4—611no—
1201C2×C4⋊C4—611no—
1202C2×C4⋊C4—1221no—
1203C2×C4⋊C4—1221no—
1204C2×C4⋊C4—1221no—
1205C2×C4⋊C4—1221no—
1206C2×C4⋊C4—1221no—
1207C2×C4⋊C4—1221no—
1208C2×C4⋊C4C22×D6111yescharacteristic
1209C2×C4⋊C4C22×D6111yescharacteristic
1210C2×C42—21no—
1211C2×C42—611no—
1212C2×C42—611no—
1213C2×C42—1221no—
1214C2×C42—1221no—
1215C2×C42C22×D6111yescharacteristic
1216#107—611no—
1217#107—611no—
1218#107—611no—
1219#107—611no—
1220#107—611no—
1221#107—611no—
1222#107—611no—
1223#107—611no—
1224#107C22×D6111yescharacteristic
1225#107C22×D6111yescharacteristic
1226#107C22×D6111yescharacteristic
1227#107C22×D6111yescharacteristic
1228#106—611no—
1229#106—611no—
1230#106—611no—
1231#106—611no—
1232#106—611no—
1233#106—611no—
1234#106—611no—
1235#106—611no—
1236#106C22×D6111yescharacteristic
1237#106C22×D6111yescharacteristic
1238#106C22×D6111yescharacteristic
1239#106C22×D6111yescharacteristic
1240C4⋊C8—611no—
1241C4⋊C8—611no—
1242C4⋊C8—611no—
1243C4⋊C8—611no—
1244C4⋊C8—611no—
1245C4⋊C8—611no—
1246C4⋊C8C22×D6111yescharacteristic
1247C4⋊C8C22×D6111yescharacteristic
1248C4⋊C8C22×D6111yescharacteristic
1249C4⋊C8C22×D6111yescharacteristic
1250#103—611no—
1251#103—611no—
1252#103—611no—
1253#103—611no—
1254#103—611no—
1255#103—611no—
1256#103—611no—
1257#103—611no—
1258#103—611no—
1259#103—611no—
1260#103—611no—
1261#103—611no—
1262#103—611no—
1263#103—611no—
1264#103—611no—
1265#103—611no—
1266#103—611no—
1267#103—611no—
1268#103C22×D6111yescharacteristic
1269#103C22×D6111yescharacteristic
1270#103C22×D6111yescharacteristic
1271#103C22×D6111yescharacteristic
1272#102—611no—
1273#102—611no—
1274#102—611no—
1275#102—611no—
1276#102—611no—
1277#102—611no—
1278#102C22×D6111yescharacteristic
1279#102C22×D6111yescharacteristic
1280#102C22×D6111yescharacteristic
1281#102C22×D6111yescharacteristic
1282C22⋊C8—611no—
1283C22⋊C8—611no—
1284C22⋊C8—611no—
1285C22⋊C8—611no—
1286C22⋊C8—611no—
1287C22⋊C8—611no—
1288#97—611no—
1289#97—611no—
1290#97—611no—
1291#97—611no—
1292C4×C8—611no—
1293C4×C8—611no—
1294#41—22no—
1295#41—41no—
1296#41—1222no—
1297#41—1222no—
1298#41—2442no—
1299#41—2444no—
1300#41—2441no—
1301#41—2441no—
1302C2×Q8—611no—
1303C2×Q8—611no—
1304C2×Q8—611no—
1305C2×Q8—611no—
1306C2×Q8—1221no—
1307C2×Q8—1221no—
1308C2×Q8—1221no—
1309C2×Q8—1221no—
1310C2×Q8—1221no—
1311C2×Q8—2444no—
1312C2×Q8C23×D6111yescharacteristic
1313C2×D4—21no—
1314C2×D4—611no—
1315C2×D4—611no—
1316C2×D4—611no—
1317C2×D4—611no—
1318C2×D4—1221no—
1319C2×D4—1221no—
1320C2×D4—1221no—
1321C2×D4—1221no—
1322C2×D4—1221no—
1323C2×D4C23×D6111yescharacteristic
1324C22×C4—21no—
1325C22×C4—21no—
1326C22×C4—21no—
1327C22×C4—21no—
1328C22×C4—21no—
1329C22×C4—611no—
1330C22×C4—611no—
1331C22×C4—611no—
1332C22×C4—611no—
1333C22×C4—611no—
1334C22×C4—611no—
1335C22×C4—1221no—
1336C22×C4—1221no—
1337C22×C4—1221no—
1338C22×C4—1221no—
1339C22×C4—1221no—
1340C22×C4—1221no—
1341C22×C4—1221no—
1342C22×C4—1221no—
1343C22×C4—1221no—
1344C22×C4D4×D6111yescharacteristic
1345C22×C4D4×D6111yescharacteristic
1346C22×C4C23×D6111yescharacteristic
1347Q16—2441no—
1348Q16—2441no—
1349Q16—2441no—
1350SD16—1222no—
1351SD16—2441no—
1352SD16—2441no—
1353SD16—2441no—
1354D8—1222no—
1355M16—41no—
1356M16—41no—
1357M16—2441no—
1358M16—2441no—
1359C2×C8—611no—
1360C2×C8—611no—
1361C2×C8—611no—
1362C2×C8—611no—
1363C2×C8—2441no—
1364C2×C8—2441no—
1365C2×C8C23×D6111yescharacteristic
1366C2×C8C23×D6111yescharacteristic
1367C2×C8C23×D6111yescharacteristic
1368C2×C8C23×D6111yescharacteristic
1369C4⋊C4—21no—
1370C4⋊C4—21no—
1371C4⋊C4—21no—
1372C4⋊C4—21no—
1373C4⋊C4—21no—
1374C4⋊C4—21no—
1375C4⋊C4—21no—
1376C4⋊C4—21no—
1377C4⋊C4—21no—
1378C4⋊C4—21no—
1379C4⋊C4—21no—
1380C4⋊C4—21no—
1381C4⋊C4—611no—
1382C4⋊C4—611no—
1383C4⋊C4—611no—
1384C4⋊C4—611no—
1385C4⋊C4—611no—
1386C4⋊C4—611no—
1387C4⋊C4—611no—
1388C4⋊C4—611no—
1389C4⋊C4—611no—
1390C4⋊C4—611no—
1391C4⋊C4—1221no—
1392C4⋊C4—1221no—
1393C4⋊C4—1221no—
1394C4⋊C4—1221no—
1395C4⋊C4—1221no—
1396C4⋊C4—1221no—
1397C4⋊C4—1221no—
1398C4⋊C4—1221no—
1399C4⋊C4—1221no—
1400C4⋊C4—1221no—
1401C4⋊C4—1221no—
1402C4⋊C4—1221no—
1403C4⋊C4—1221no—
1404C4⋊C4—1221no—
1405C4⋊C4—1221no—
1406C4⋊C4—1221no—
1407C4⋊C4—1221no—
1408C4⋊C4—1221no—
1409C4⋊C4—1221no—
1410C4⋊C4—1221no—
1411C4⋊C4—1221no—
1412C4⋊C4—1221no—
1413C4⋊C4—1221no—
1414C4⋊C4—1221no—
1415C4⋊C4—1221no—
1416C4⋊C4—1221no—
1417C4⋊C4—1221no—
1418C4⋊C4—1221no—
1419C4⋊C4—1221no—
1420C4⋊C4—1221no—
1421C4⋊C4—1221no—
1422C4⋊C4—1221no—
1423C4⋊C4—1221no—
1424C4⋊C4—1221no—
1425C4⋊C4—1221no—
1426C4⋊C4C23×D6111yescharacteristic
1427C4⋊C4C23×D6111yescharacteristic
1428C4⋊C4C23×D6111yescharacteristic
1429C4⋊C4C23×D6111yescharacteristic
1430C4⋊C4C23×D6111yescharacteristic
1431C4⋊C4C23×D6111yescharacteristic
1432C22⋊C4—21no—
1433C22⋊C4—21no—
1434C22⋊C4—21no—
1435C22⋊C4—611no—
1436C22⋊C4—611no—
1437C22⋊C4—611no—
1438C22⋊C4—611no—
1439C22⋊C4—611no—
1440C22⋊C4—611no—
1441C22⋊C4—1221no—
1442C22⋊C4—1221no—
1443C22⋊C4—1221no—
1444C22⋊C4—1221no—
1445C22⋊C4—1221no—
1446C22⋊C4—1221no—
1447C22⋊C4—1221no—
1448C22⋊C4—1221no—
1449C22⋊C4—1221no—
1450C22⋊C4—1221no—
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—
1464C42—21no—
1465C42—21no—
1466C42—21no—
1467C42—611no—
1468C42—611no—
1469C42—611no—
1470C42—611no—
1471C42—611no—
1472C42—611no—
1473C42—1221no—
1474C42—1221no—
1475C42—1221no—
1476C42—1221no—
1477C42—1221no—
1478C42—1221no—
1479C42—1221no—
1480C42—1221no—
1481C42—1221no—
1482C42—1221no—
1483C42—1221no—
1484C42D4×D6111yescharacteristic
1485C42D4×D6111yescharacteristic
1486C42C23×D6111yescharacteristic
1487C42C23×D6111yescharacteristic
1488C23—21no—
1489C23—611no—
1490C23—611no—
1491C23—1221no—
1492C23C2×D4×D6111yescharacteristic
1493Q8—21no—
1494Q8—21no—
1495Q8—1222no—
1496Q8—1221no—
1497Q8—1221no—
1498Q8—1221no—
1499Q8—1221no—
1500Q8—1221no—
1501Q8—1221no—
1502Q8—4881no—
1503Q8—2442no—
1504Q8—2442no—
1505Q8—2442no—
1506Q8—2442no—
1507D4—21no—
1508D4—42no—
1509D4—1222no—
1510D4—1221no—
1511D4—1221no—
1512D4—4881no—
1513D4—2441no—
1514D4—2442no—
1515D4—2441no—
1516D4—2442no—
1517D4—2442no—
1518D4—2442no—
1519D4#1451982512yes—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—41no—
1530C2×C4—41no—
1531C2×C4—42no—
1532C2×C4—42no—
1533C2×C4—42no—
1534C2×C4—42no—
1535C2×C4—81no—
1536C2×C4—611no—
1537C2×C4—611no—
1538C2×C4—611no—
1539C2×C4—611no—
1540C2×C4—611no—
1541C2×C4—611no—
1542C2×C4—1222no—
1543C2×C4—1221no—
1544C2×C4—1221no—
1545C2×C4—1221no—
1546C2×C4—1221no—
1547C2×C4—1221no—
1548C2×C4—1221no—
1549C2×C4—1221no—
1550C2×C4—1221no—
1551C2×C4—1221no—
1552C2×C4—1221no—
1553C2×C4—1221no—
1554C2×C4—4881no—
1555C2×C4—4881no—
1556C2×C4—4881no—
1557C2×C4—2441no—
1558C2×C4—2441no—
1559C2×C4—2441no—
1560C2×C4—2442no—
1561C2×C4—2442no—
1562C2×C4—2442no—
1563C2×C4—2442no—
1564C2×C4—2442no—
1565C2×C4—2442no—
1566C2×C4C2×D4×D6111yescharacteristic
1567C2×C4C2×D4×D6111yescharacteristic
1568C2×C4C2×D4×D6111yescharacteristic
1569C2×C4C2×D4×D6111yescharacteristic
1570C2×C4C2×D4×D6111yescharacteristic
1571C2×C4C24×D6111yescharacteristic
1572C8—21no—
1573C8—21no—
1574C8—21no—
1575C8—21no—
1576C8—1221no—
1577C8—1221no—
1578C8—1221no—
1579C8—1221no—
1580C22—21no—
1581C22—22no—
1582C22—21no—
1583C22—21no—
1584C22—41no—
1585C22—41no—
1586C22—1221no—
1587C22—1221no—
1588C22—1221no—
1589C22—1221no—
1590C22—1221no—
1591C22—1221no—
1592C22—2441no—
1593C22—2441no—
1594C22—2441no—
1595C22C22×D4×D6111yescharacteristic
1596C4—21no—
1597C4—21no—
1598C4—21no—
1599C4—21no—
1600C4—21no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—612no—
1609C4—1221no—
1610C4—1221no—
1611C4—1221no—
1612C4—1221no—
1613C4—1221no—
1614C4—2441no—
1615C4—2441no—
1616C4—2441no—
1617C4—2441no—
1618C4—2441no—
1619C4—2441no—
1620C4—2441no—
1621C4C2×#1451982511yescharacteristic
1622C4#1684059811yescharacteristic
1623C2—41no—
1624C2—42no—
1625C2—4881no—
1626C2—2441no—
1627C2—2441no—
1628C2#2145949511yescharacteristic
1629C2#575×D6111yescharacteristic
1630C2#2146060311yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3080C2
socleC22×C61C23×D4
hypercenter#3080D61
hypocenterC61#62121
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3080

Complements

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

NH ≅ G/Ntype
1. #21459791C2semidirect
2. #21459434C2semidirect
3. #21458735C2semidirect
4. #21458721C2semidirect
5. #21458625C2semidirect
6. #21458603C2semidirect
7. #21458430C2semidirect
8. #21458399C2semidirect
9. #21458365C2semidirect
10. #21458361C2semidirect
11. #21458356C2semidirect
12. #21458350C2semidirect
13. #21458131C2semidirect
14. #21458120C2semidirect
15. #21457916C2semidirect
16. #21457912C2semidirect
17. #21457796C2semidirect
18. #21457792C2semidirect
19. #21457193C2semidirect
20. #21457191C2semidirect
21. #21457155C2semidirect
22. #21457025C2semidirect
23. #21457023C2semidirect
24. #21456977C2semidirect
25. #21455933C2semidirect
26. #21455928C2semidirect
27. #21455842C2semidirect
28. #21455636C2semidirect
29. #21455604C2semidirect
30. #21454933C2semidirect
31. C61×#3080C2semidirect
836. #3080D61semidirect
1018. C61#62121semidirect

Maximal subgroups

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

subgroupindex
#214597912
#214594342
#214587352
#214587212
#214586252
#214586032
#214584302
#214583992
#214583652
#214583612
#214583562
#214583502
#214581312
#214581202
#214579162
#214579122
#214577962
#214577922
#214571932
#214571912
#214571552
#214570252
#214570232
#214569772
#214559332
#214559282
#214558422
#214556362
#214556042
#214549332
C61×#30802
#6212161