Finite Group Databasebeta

← #30564641

Subgroups — #30564641

Order 15616.

1810 conjugacy classes of subgroups.

The subgroup lattice has 1692 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459909C211yesmaximal, characteristic, complemented
2#21459821C211yesmaximal, characteristic
3#21458799C211yesmaximal, characteristic, complemented
4#21458705C211yesmaximal, characteristic, complemented
5#21458625C211yesmaximal, characteristic, complemented
6#21458543C211yesmaximal, characteristic, complemented
7#21458401C211yesmaximal, characteristic, complemented
8#21458376C211yesmaximal, characteristic, complemented
9#21458372C211yesmaximal, characteristic, complemented
10#21457994C211yesmaximal, characteristic, complemented
11#21457987C211yesmaximal, characteristic, complemented
12#21457952C211yesmaximal, characteristic, complemented
13#21457943C211yesmaximal, characteristic, complemented
14#21457756C211yesmaximal, characteristic, complemented
15#21457677C211yesmaximal, characteristic, complemented
16#21457488C211yesmaximal, characteristic, complemented
17#21457483C211yesmaximal, characteristic, complemented
18#21457483C211yesmaximal, characteristic, complemented
19#21456534C211yesmaximal, characteristic, complemented
20#21456443C211yesmaximal, characteristic, complemented
21#21456441C211yesmaximal, characteristic, complemented
22#21456109C211yesmaximal, characteristic, complemented
23#21456037C211yesmaximal, characteristic, complemented
24#21456035C211yesmaximal, characteristic, complemented
25#21455886C211yesmaximal, characteristic, complemented
26#21455848C211yesmaximal, characteristic, complemented
27#21454821C211yesmaximal, characteristic, complemented
28#21454662C211yesmaximal, characteristic, complemented
29#21454655C211yesmaximal, characteristic, complemented
30#21454641C211yesmaximal, characteristic, complemented
31C61×#3126C211yesmaximal, characteristic, complemented
32C2×#14519808C2211yescharacteristic
33C2×#14519806C2211yescharacteristic
34C2×#14519806C2211yescharacteristic
35#16840490—21no—
36#16840490C2211yescharacteristic
37#16840489C2211yescharacteristic
38#16840488C2211yescharacteristic
39#16840480—21no—
40#16840480C2211yescharacteristic
41#16840465C2211yescharacteristic
42#16840464C2211yescharacteristic
43#16840457—21no—
44#16840455—21no—
45#16840453—21no—
46#16840453C2211yescharacteristic
47#16840451—21no—
48#16840451C2211yescharacteristic
49#16840432C2211yescharacteristic
50#16840432C2211yescharacteristic
51#16840430—21no—
52#16840430C2211yescharacteristic
53#16840430C2211yescharacteristic
54Q8×D244C2211yescharacteristic
55Q8×C22⋊D61C2211yescharacteristic
56Q8×C22⋊D61C2211yescharacteristic
57#16840412C2211yescharacteristic
58#16840410—21no—
59#16840374—21no—
60#16840374C2211yescharacteristic
61#16840370—21no—
62#16840370C2211yescharacteristic
63#16840364—21no—
64#16840363C2211yescharacteristic
65#16840362—21no—
66#16840316—21no—
67#16840316C2211yescharacteristic
68#16840309C2211yescharacteristic
69#16840307—21no—
70#16840290—21no—
71#16840290C2211yescharacteristic
72#16840289—21no—
73#16840242C2211yescharacteristic
74#16840241C2211yescharacteristic
75#16840238C2211yescharacteristic
76C4×#11758224C2211yescharacteristic
77C4×Q8×D61C2211yescharacteristic
78#16840166C2211yescharacteristic
79#16840162C2211yescharacteristic
80#16840161C2211yescharacteristic
81#16840134C2211yescharacteristic
82#16840133C2211yescharacteristic
83#16840133C2211yescharacteristic
84#16840132C2211yescharacteristic
85#16840129C2211yescharacteristic
86#16840126C2211yescharacteristic
87#16840125C2211yescharacteristic
88#16840111C2211yescharacteristic
89#16840107C2211yescharacteristic
90#16840106C2211yescharacteristic
91#16840102C2211yescharacteristic
92#16840099C2211yescharacteristic
93#16840098C2211yescharacteristic
94#16840093C2211yescharacteristic
95#16840091C2211yescharacteristic
96#16840089C2211yescharacteristic
97#16840084C2211yescharacteristic
98#16840082C2211yescharacteristic
99#16840079C2211yescharacteristic
100#16840071C2211yescharacteristic
101#16840070C2211yescharacteristic
102#16840068C2211yescharacteristic
103#16840068C2211yescharacteristic
104#16840064C2211yescharacteristic
105#16840063C2211yescharacteristic
106#16840046C2211yescharacteristic
107#16840046C2211yescharacteristic
108#16840045C2211yescharacteristic
109#16840040C2211yescharacteristic
110#16840011C2211yescharacteristic
111#16840011C2211yescharacteristic
112#16840009C2211yescharacteristic
113#16840007C2211yescharacteristic
114#16840007C2211yescharacteristic
115#16840006C2211yescharacteristic
116#16840006C2211yescharacteristic
117#16840005C2211yescharacteristic
118#16839992C2211yescharacteristic
119#16839989C2211yescharacteristic
120#16839989C2211yescharacteristic
121#16839988C2211yescharacteristic
122#16839973C2211yescharacteristic
123#16839971C2211yescharacteristic
124#16839971C2211yescharacteristic
125#16839968C2211yescharacteristic
126#16839965C2211yescharacteristic
127#16839965C2211yescharacteristic
128#16839961C2211yescharacteristic
129#16839961C2211yescharacteristic
130#16839960C2211yescharacteristic
131#16839960C2211yescharacteristic
132#16839926C2211yescharacteristic
133#16839926C2211yescharacteristic
134#16839925C2211yescharacteristic
135#16839925C2211yescharacteristic
136#16839921C2211yescharacteristic
137#16839921C2211yescharacteristic
138#16839902C2211yescharacteristic
139#16839902C2211yescharacteristic
140#16839899C2211yescharacteristic
141#16839899C2211yescharacteristic
142#16839891C2211yescharacteristic
143#16839886C2211yescharacteristic
144#16839870C2211yescharacteristic
145#16839868C2211yescharacteristic
146#16839867C2211yescharacteristic
147#16839867C2211yescharacteristic
148#16839864C2211yescharacteristic
149#16839863C2211yescharacteristic
150#16839862C2211yescharacteristic
151#16839862C2211yescharacteristic
152#16839860C2211yescharacteristic
153#16839860C2211yescharacteristic
154C4×Dic244C2211yescharacteristic
155#16839856C2211yescharacteristic
156C4×#11758202C2211yescharacteristic
157C4×#11758202C2211yescharacteristic
158#16839854C2211yescharacteristic
159#16839854C2211yescharacteristic
160#16839853C2211yescharacteristic
161#16839853C2211yescharacteristic
162C4×#11758190C2211yescharacteristic
163SD16×Dic61C2211yescharacteristic
164C4×#11758201C2211yescharacteristic
165C4×#11758201C2211yescharacteristic
166C4×#11758200C2211yescharacteristic
167C4×#11758200C2211yescharacteristic
168#16839839C2211yescharacteristic
169#16839837C2211yescharacteristic
170#16839837C2211yescharacteristic
171#16839832C2211yescharacteristic
172#16839830C2211yescharacteristic
173#16839825C2211yescharacteristic
174#16839824C2211yescharacteristic
175#16839813C2211yescharacteristic
176#16839805C2211yescharacteristic
177#16839803C2211yescharacteristic
178#16839801C2211yescharacteristic
179#16839769C2211yescharacteristic
180#16839760C2211yescharacteristic
181#16839756C2211yescharacteristic
182#16839755C2211yescharacteristic
183C2×#14519701C2211yescharacteristic
184#103×D61C2211yescharacteristic
185#16839718C2211yescharacteristic
186#16839716C2211yescharacteristic
187#16839714C2211yescharacteristic
188C61×#540C2211yescharacteristic
189C61×#519C2211yescharacteristic
190C61×#482C2211yescharacteristic
191C61×#482C2211yescharacteristic
192C61×#479C2211yescharacteristic
193C61×#479C2211yescharacteristic
194C61×#460C2211yescharacteristic
195C61×#460C2211yescharacteristic
196C61×#448C2211yescharacteristic
197C61×#448C2211yescharacteristic
198C61×#440C2211yescharacteristic
199C61×#440C2211yescharacteristic
200C4×SD16×C61C2211yescharacteristic
201C4×SD16×C61C2211yescharacteristic
202C61×#433C2211yescharacteristic
203C2×#11758222—21no—
204C2×#11758222C2311yescharacteristic
205C2×#11758224—21no—
206C2×#11758224—21no—
207C2×#11758224C2311yescharacteristic
208C2×#11758224C2311yescharacteristic
209C2×Q8×D61C2311yescharacteristic
210C2×Q8×D61C2311yescharacteristic
211#14519808—24no—
212#14519806—24no—
213#14519806—24no—
214C2×Dic244C2311yescharacteristic
215C2×Dic244C2311yescharacteristic
216C2×#11758202C2311yescharacteristic
217C2×#11758202C2311yescharacteristic
218C2×#11758190C2311yescharacteristic
219C2×#11758190C2311yescharacteristic
220C2×#11758200C2311yescharacteristic
221C2×#11758200C2311yescharacteristic
222C2×#11758200C2311yescharacteristic
223C2×#11758200C2311yescharacteristic
224C2×#11758201C2311yescharacteristic
225C2×#11758201C2311yescharacteristic
226C2×#11758194C2311yescharacteristic
227C2×#11758189C2311yescharacteristic
228C2×#11758189C2311yescharacteristic
229C2×#11758189C2311yescharacteristic
230C22×#92418C2311yescharacteristic
231C2×C8×D61C2311yescharacteristic
232#14519777—21no—
233#14519777C2311yescharacteristic
234#14519776—21no—
235#14519776—21no—
236#14519776C2311yescharacteristic
237#14519776C2311yescharacteristic
238#14519775—21no—
239#14519775—21no—
240#14519775C2311yescharacteristic
241#14519775C2311yescharacteristic
242#14519773—21no—
243#14519773—21no—
244#14519773—21no—
245#14519773C2311yescharacteristic
246#14519773C2311yescharacteristic
247#14519772—21no—
248#14519772—21no—
249#14519772D411yescharacteristic
250#14519771—21no—
251#14519771—21no—
252#14519771—21no—
253#14519770—21no—
254#14519770—21no—
255#14519770—21no—
256#14519770—21no—
257#14519770—21no—
258#14519770D411yescharacteristic
259#14519769—21no—
260#14519769—21no—
261#14519769—21no—
262#14519769—21no—
263#14519769C2311yescharacteristic
264#14519768—21no—
265#14519768C2311yescharacteristic
266#14519768C2311yescharacteristic
267#14519767—21no—
268#14519767—21no—
269#14519767—21no—
270#14519767—21no—
271#14519767—21no—
272#14519767—21no—
273#14519767—21no—
274#14519767—21no—
275#14519767—21no—
276#14519767D411yescharacteristic
277#14519763—21no—
278#14519763—21no—
279#14519763D411yescharacteristic
280#14519762—21no—
281#14519762—21no—
282#14519762D411yescharacteristic
283#14519761—21no—
284#14519760—21no—
285#14519759—21no—
286#14519759—21no—
287#14519759—21no—
288#14519759D411yescharacteristic
289#14519758—21no—
290#14519757—21no—
291#14519757—21no—
292#14519757C2311yescharacteristic
293#14519757C2311yescharacteristic
294#14519756—21no—
295#14519756—21no—
296#14519756C2311yescharacteristic
297#14519756C2311yescharacteristic
298#14519755—21no—
299#14519755D411yescharacteristic
300#14519754—21no—
301#14519753—21no—
302#14519753—21no—
303#14519753C2311yescharacteristic
304#14519753C2311yescharacteristic
305#14519752—21no—
306#14519752C2311yescharacteristic
307#14519752C2311yescharacteristic
308#14519751—21no—
309#14519750—21no—
310#14519750—21no—
311#14519750—21no—
312#14519750—21no—
313#14519750D411yescharacteristic
314#14519749—21no—
315#14519749—21no—
316#14519749—21no—
317#14519749—21no—
318#14519749—21no—
319#14519749—21no—
320#14519749—21no—
321#14519748—21no—
322#14519748C2311yescharacteristic
323#14519748C2311yescharacteristic
324Q8×Dic61C2311yescharacteristic
325Q8×Dic61C2311yescharacteristic
326C4×Dic122—21no—
327C4×Dic122—21no—
328C4×Dic122—21no—
329C4×Dic122—21no—
330C4×Dic122—21no—
331C4×Dic122—21no—
332C4×Dic122C2311yescharacteristic
333C4×Dic122C2311yescharacteristic
334C4×Dic122C2311yescharacteristic
335C4×Dic122C2311yescharacteristic
336C4×Dic122C2311yescharacteristic
337#14519742—21no—
338#14519742—21no—
339#14519742—21no—
340#14519742C2311yescharacteristic
341#14519742C2311yescharacteristic
342#14519742C2311yescharacteristic
343#14519742C2311yescharacteristic
344C4×D244—21no—
345C4×D244C2311yescharacteristic
346C4×D244C2311yescharacteristic
347C4×D244C2311yescharacteristic
348D4×Dic61—21no—
349D4×Dic61—21no—
350D4×Dic61C2311yescharacteristic
351D4×Dic61C2311yescharacteristic
352#14519739—21no—
353C4×C22⋊D61—21no—
354C4×C22⋊D61—21no—
355C4×C22⋊D61—21no—
356C4×C22⋊D61—21no—
357C4×C22⋊D61—21no—
358C4×C22⋊D61C2311yescharacteristic
359C4×C22⋊D61C2311yescharacteristic
360#14519737—21no—
361#14519737—21no—
362#14519737—21no—
363#14519737—21no—
364#14519737—21no—
365#14519737—21no—
366#14519735—21no—
367#14519735—21no—
368#14519735C2311yescharacteristic
369#14519735C2311yescharacteristic
370#14519734—21no—
371#14519734—21no—
372#14519734—21no—
373#14519734—21no—
374#14519734C2311yescharacteristic
375#14519733—21no—
376#14519733—21no—
377C2×C4⋊Dic61C2311yescharacteristic
378C2×#11758196—21no—
379C4⋊C4×D61—21no—
380C4⋊C4×D61—21no—
381C4⋊C4×D61C2311yescharacteristic
382C4⋊C4×D61C2311yescharacteristic
383C2×C4×Dic61—21no—
384C42×D61—21no—
385C42×D61C2311yescharacteristic
386#14519711C2311yescharacteristic
387#14519711C2311yescharacteristic
388#14519710C2311yescharacteristic
389#14519710C2311yescharacteristic
390#14519710C2311yescharacteristic
391#14519710C2311yescharacteristic
392#14519709C2311yescharacteristic
393#14519709C2311yescharacteristic
394#14519708C2311yescharacteristic
395#14519708C2311yescharacteristic
396#14519708C2311yescharacteristic
397#14519708C2311yescharacteristic
398#14519706C2311yescharacteristic
399#14519706C2311yescharacteristic
400#14519706C2311yescharacteristic
401#14519706C2311yescharacteristic
402#14519702C2311yescharacteristic
403#14519702C2311yescharacteristic
404#14519702C2311yescharacteristic
405#14519702C2311yescharacteristic
406#14519702C2311yescharacteristic
407#14519702C2311yescharacteristic
408#14519701C2311yescharacteristic
409#14519701C2311yescharacteristic
410#14519701C2311yescharacteristic
411#14519701C2311yescharacteristic
412#14519700C2311yescharacteristic
413#14519700C2311yescharacteristic
414#14519700C2311yescharacteristic
415#14519700C2311yescharacteristic
416#14519700C2311yescharacteristic
417#14519700C2311yescharacteristic
418#14519699C2311yescharacteristic
419#14519699C2311yescharacteristic
420#14519698C2311yescharacteristic
421#14519698C2311yescharacteristic
422#14519698C2311yescharacteristic
423#14519698C2311yescharacteristic
424#14519697C2311yescharacteristic
425#14519697C2311yescharacteristic
426#14519689C2311yescharacteristic
427#14519689C2311yescharacteristic
428#14519689C2311yescharacteristic
429#14519689C2311yescharacteristic
430#14519688C2311yescharacteristic
431#14519688C2311yescharacteristic
432#14519687C2311yescharacteristic
433C4×#92418C2311yescharacteristic
434C4×#92418C2311yescharacteristic
435C8×Dic61C2311yescharacteristic
436C8×Dic61C2311yescharacteristic
437C8×Dic61C2311yescharacteristic
438C22×Q8×C61C2311yescharacteristic
439C2×SD16×C61C2311yescharacteristic
440C2×SD16×C61C2311yescharacteristic
441C2×SD16×C61C2311yescharacteristic
442C2×SD16×C61C2311yescharacteristic
443#127×C61C2311yescharacteristic
444#125×C61C2311yescharacteristic
445#123×C61—21no—
446#123×C61—21no—
447#121×C61—21no—
448#121×C61—21no—
449#121×C61C2311yescharacteristic
450#121×C61C2311yescharacteristic
451C4×Q8×C61—21no—
452C4×Q8×C61—21no—
453C4×Q8×C61C2311yescharacteristic
454C4×Q8×C61C2311yescharacteristic
455C4×Q8×C61C2311yescharacteristic
456C4×Q8×C61C2311yescharacteristic
457C4×D4×C61C2311yescharacteristic
458C4×D4×C61C2311yescharacteristic
459#117×C61—21no—
460#117×C61—21no—
461#117×C61C2311yescharacteristic
462#117×C61C2311yescharacteristic
463#107×C61C2311yescharacteristic
464#107×C61C2311yescharacteristic
465#106×C61C2311yescharacteristic
466#106×C61C2311yescharacteristic
467C4⋊C8×C61C2311yescharacteristic
468C4⋊C8×C61C2311yescharacteristic
469#103×C61C2311yescharacteristic
470#103×C61C2311yescharacteristic
471#103×C61C2311yescharacteristic
472#103×C61C2311yescharacteristic
473#102×C61C2311yescharacteristic
474#102×C61C2311yescharacteristic
475#102×C61C2311yescharacteristic
476#102×C61C2311yescharacteristic
477C22⋊C8×C61C2311yescharacteristic
478C22⋊C8×C61C2311yescharacteristic
479#97×C61C2311yescharacteristic
480C4×C8×C61C2311yescharacteristic
481C2×Q8×C61—21no—
482C2×Q8×C61—22no—
483C2×Q8×C61—41no—
484C2×Q8×C61C2411yescharacteristic
485C2×Q8×C61C2411yescharacteristic
486C2×D4×C61—21no—
487C2×D4×C61—21no—
488C2×D4×C61—21no—
489C2×D4×C61—21no—
490C2×D4×C61C2411yescharacteristic
491C2×D4×C61C2411yescharacteristic
492C22×C4×C61—21no—
493C22×C4×C61—21no—
494C22×C4×C61—21no—
495C22×C4×C61C2411yescharacteristic
496C2×C22⋊D61—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—
505C2×C22⋊D61C2×D411yescharacteristic
506C2×C22⋊D61C2×D411yescharacteristic
507C22×Dic61—21no—
508C22×Dic61—21no—
509C22×Dic61—21no—
510C22×Dic61—21no—
511C22×Dic61—21no—
512Q8×D61—22no—
513Q8×D61—22no—
514Q8×D61—41no—
515Q8×D61—41no—
516#11758224—22no—
517#11758224—22no—
518#11758224—41no—
519#11758224—41no—
520#11758224—82no—
521#11758224—82no—
522#11758222—22no—
523#11758222—41no—
524#11758222—82no—
525C2×D244—21no—
526C2×D244—21no—
527C2×D244C2×D411yescharacteristic
528C2×D244C2411yescharacteristic
529C2×C4×D61—21no—
530C2×C4×D61—21no—
531C2×C4×D61—21no—
532C2×C4×D61—21no—
533C2×C4×D61—21no—
534C2×C4×D61—21no—
535C2×C4×D61—21no—
536C2×C4×D61C2×D411yescharacteristic
537C2×C4×D61C2×D411yescharacteristic
538C2×C4×D61C2411yescharacteristic
539C2×C4×D61C2411yescharacteristic
540C2×Dic122—21no—
541C2×Dic122—21no—
542C2×Dic122—21no—
543C2×Dic122—21no—
544C2×Dic122C2×D411yescharacteristic
545C2×Dic122C2411yescharacteristic
546C2×Dic122C2411yescharacteristic
547C2×Dic122C2411yescharacteristic
548SD16×C61—22no—
549SD16×C61—22no—
550SD16×C61—41no—
551SD16×C61—41no—
552C2×C8×C61C2411yescharacteristic
553C2×C8×C61C2411yescharacteristic
554C2×C8×C61C2411yescharacteristic
555C2×C8×C61C2411yescharacteristic
556C4⋊C4×C61—21no—
557C4⋊C4×C61—21no—
558C4⋊C4×C61—21no—
559C4⋊C4×C61—21no—
560C4⋊C4×C61—21no—
561C4⋊C4×C61—21no—
562C4⋊C4×C61C2×D411yescharacteristic
563C4⋊C4×C61C2×D411yescharacteristic
564C4⋊C4×C61C2411yescharacteristic
565C4⋊C4×C61C2411yescharacteristic
566C4⋊C4×C61C2411yescharacteristic
567C4⋊C4×C61C2411yescharacteristic
568C22⋊C4×C61—21no—
569C22⋊C4×C61—21no—
570C22⋊C4×C61—21no—
571C22⋊C4×C61—21no—
572C22⋊C4×C61—21no—
573C22⋊C4×C61C2×D411yescharacteristic
574C22⋊C4×C61C2×D411yescharacteristic
575C42×C61—21no—
576C42×C61—21no—
577C42×C61—21no—
578C42×C61—21no—
579C42×C61—21no—
580C42×C61C2411yescharacteristic
581C42×C61C2411yescharacteristic
582C22⋊Dic61—21no—
583C22⋊Dic61—21no—
584C22⋊Dic61—21no—
585C22⋊Dic61—21no—
586C22⋊Dic61—21no—
587C22⋊Dic61—21no—
588C22⋊Dic61C2×D411yescharacteristic
589C22⋊Dic61C2×D411yescharacteristic
590#11758202—22no—
591#11758202#4114yescomplemented
592#11758201—22no—
593#11758201—22no—
594#11758200—22no—
595#11758200—22no—
596#11758200—41no—
597#11758200—41no—
598#11758198—21no—
599#11758198—21no—
600#11758198—21no—
601#11758198—21no—
602#11758198—21no—
603#11758198—21no—
604#11758198—21no—
605#11758198—21no—
606#11758198—21no—
607#11758198—21no—
608#11758198C2×D411yescharacteristic
609#11758198C2×D411yescharacteristic
610#11758198C2×D411yescharacteristic
611#11758198C2×D411yescharacteristic
612#11758198C2×D411yescharacteristic
613#11758198C2×D411yescharacteristic
614C4⋊Dic61—21no—
615C4⋊Dic61—21no—
616C4⋊Dic61—21no—
617C4⋊Dic61—21no—
618C4⋊Dic61—21no—
619C4⋊Dic61—21no—
620C4⋊Dic61—21no—
621C4⋊Dic61—21no—
622C4⋊Dic61—21no—
623C4⋊Dic61C2×D411yescharacteristic
624C4⋊Dic61C2×D411yescharacteristic
625C4⋊Dic61C2411yescharacteristic
626C4⋊Dic61C2411yescharacteristic
627C4⋊Dic61C2411yescharacteristic
628C4⋊Dic61C2411yescharacteristic
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#11758196—21no—
640#11758196—21no—
641#11758196—21no—
642#11758196—21no—
643#11758196—21no—
644#11758196—21no—
645#11758196—21no—
646#11758196—21no—
647#11758196—21no—
648#11758196—21no—
649#11758196—21no—
650#11758196—21no—
651#11758196—21no—
652#11758196—21no—
653#11758196C2×D411yescharacteristic
654#11758196C2×D411yescharacteristic
655#11758196C2×D411yescharacteristic
656#11758196C2×D411yescharacteristic
657#11758196C2×D411yescharacteristic
658#11758196C2×D411yescharacteristic
659C4×Dic61—21no—
660C4×Dic61—21no—
661C4×Dic61—21no—
662C4×Dic61—21no—
663C4×Dic61—21no—
664C4×Dic61—21no—
665C4×Dic61—21no—
666C4×Dic61—21no—
667C4×Dic61—21no—
668C4×Dic61—21no—
669C4×Dic61—21no—
670C4×Dic61—21no—
671C4×Dic61C2×D411yescharacteristic
672C4×Dic61C2×D411yescharacteristic
673C4×Dic61C2411yescharacteristic
674C4×Dic61C2411yescharacteristic
675#11758194—22no—
676C2×#92418—41no—
677C2×#92418C2411yescharacteristic
678C2×#92418C2411yescharacteristic
679C2×#92418C2411yescharacteristic
680C2×#92418C2411yescharacteristic
681Dic244—22no—
682Dic244—22no—
683#11758190—41no—
684#11758190—41no—
685#11758189—22no—
686#11758189—22no—
687#11758189—41no—
688C8×D61—41no—
689C23×C61—21no—
690C23×C61—21no—
691C23×C61C22×D411yescharacteristic
692C22×D61—21no—
693C22×D61C22×D411yescharacteristic
694C22×D61C22×D411yescharacteristic
695Q8×C61—21no—
696Q8×C61—21no—
697Q8×C61—21no—
698Q8×C61—42no—
699Q8×C61C2×#4112yes—
700D4×C61—21no—
701D4×C61—21no—
702D4×C61—21no—
703D4×C61—21no—
704D4×C61—81no—
705D4×C61—81no—
706D4×C61—81no—
707D4×C61—81no—
708C2×C4×C61—21no—
709C2×C4×C61—21no—
710C2×C4×C61—21no—
711C2×C4×C61—21no—
712C2×C4×C61—21no—
713C2×C4×C61—21no—
714C2×C4×C61—21no—
715C2×C4×C61—21no—
716C2×C4×C61—42no—
717C2×C4×C61—81no—
718C2×C4×C61—81no—
719C2×C4×C61C22×D411yescharacteristic
720C2×C4×C61C22×D411yescharacteristic
721C2×C4×C61C22×D411yescharacteristic
722C2×C4×C61C22×D411yescharacteristic
723C2×C4×C61C22×D411yescharacteristic
724C2×C4×C61C2511yescharacteristic
725C22⋊D61—22no—
726C22⋊D61—41no—
727C22⋊D61—42no—
728C22⋊D61—42no—
729C22⋊D61—42no—
730C22⋊D61—42no—
731C22⋊D61—81no—
732C22⋊D61—81no—
733C22⋊D61—81no—
734C22⋊D61—81no—
735C22⋊D61—81no—
736C2×Dic61—21no—
737C2×Dic61—21no—
738C2×Dic61—21no—
739C2×Dic61—21no—
740C2×Dic61—21no—
741C2×Dic61—21no—
742C2×Dic61—21no—
743C2×Dic61—42no—
744C2×Dic61—42no—
745C2×Dic61—42no—
746C2×Dic61—81no—
747C2×Dic61—81no—
748C2×Dic61C22×D411yescharacteristic
749C2×Dic61C22×D411yescharacteristic
750C2×Dic61C22×D411yescharacteristic
751C2×Dic61C22×D411yescharacteristic
752C2×Dic61C22×D411yescharacteristic
753C2×Dic61C22×D411yescharacteristic
754D244—21no—
755D244—21no—
756D244—41no—
757D244—81no—
758D244—81no—
759C4×D61—21no—
760C4×D61—21no—
761C4×D61—21no—
762C4×D61—21no—
763C4×D61—22no—
764C4×D61—41no—
765C4×D61—42no—
766C4×D61—42no—
767C4×D61—42no—
768C4×D61—42no—
769C4×D61—81no—
770C4×D61—81no—
771C4×D61—81no—
772Dic122—21no—
773Dic122—22no—
774Dic122—21no—
775Dic122—21no—
776Dic122—21no—
777Dic122—21no—
778Dic122—42no—
779Dic122—42no—
780Dic122—42no—
781Dic122—42no—
782Dic122C2×#4112yes—
783C8×C61—21no—
784C8×C61—21no—
785C8×C61—21no—
786C8×C61—21no—
787#92418—21no—
788#92418—21no—
789#92418—21no—
790#92418C2×#4112yes—
791#61556—611nomaximal, Sylow
792C22×C61—21no—
793C22×C61—21no—
794C22×C61—21no—
795C22×C61—41no—
796C22×C61—41no—
797C22×C61—41no—
798C22×C61—41no—
799C22×C61—41no—
800C22×C61—41no—
801C22×C61C23×D411yescharacteristic
802C2×D61—21no—
803C2×D61—21no—
804C2×D61—21no—
805C2×D61—21no—
806C2×D61—21no—
807C2×D61—21no—
808C2×D61—41no—
809C2×D61—41no—
810C2×D61—41no—
811C4×C61—21no—
812C4×C61—21no—
813C4×C61—22no—
814C4×C61—21no—
815C4×C61—21no—
816C4×C61—21no—
817C4×C61—41no—
818C4×C61—41no—
819C4×C61—41no—
820C4×C61—41no—
821C4×C61—41no—
822C4×C61C22×#4111yescharacteristic
823C4×C61#58511yescharacteristic
824Dic61—21no—
825Dic61—21no—
826Dic61—22no—
827Dic61—21no—
828Dic61—21no—
829Dic61—21no—
830Dic61—41no—
831Dic61—41no—
832Dic61—41no—
833Dic61—41no—
834Dic61—41no—
835Dic61—41no—
836Dic61#57712yes—
837#3523—611no—
838#3517—611no—
839#3392—611no—
840#3383—611no—
841#3374—611no—
842#3368—611no—
843#3353—611no—
844#3351—611no—
845#3351—611no—
846#3320—611no—
847#3320—611no—
848#3317—611no—
849#3317—611no—
850#3304—611no—
851#3298—611no—
852#3278—611no—
853#3278—611no—
854#3278—611no—
855#3182—611no—
856#3174—611no—
857#3174—611no—
858#3126—611no—
859#3126D6111yescharacteristic, complemented
860#3120—611no—
861#3120—611no—
862#3107—611no—
863#3103—611no—
864#2969—611no—
865#2947—611no—
866#2947—611no—
867C4×#137—611no—
868C2×C61—41no—
869C2×C61—81no—
870C2×C61—81no—
871C2×C61D4×#4111yescharacteristic
872C2×C61C2×#57711yescharacteristic
873C2×C61#358611yescharacteristic
874D61—41no—
875D61—41no—
876D61—81no—
877C2×#137—611no—
878C2×#137—611no—
879C2×#137—611no—
880#557—611no—
881#557—611no—
882#557—611no—
883#557—1221no—
884#556—611no—
885#556—1221no—
886#553—611no—
887#553—611no—
888#553—1221no—
889#553—1221no—
890#552—611no—
891#552—611no—
892#552—1221no—
893#552—1221no—
894#550—611no—
895#550—611no—
896#550—611no—
897#550—611no—
898#550—1221no—
899D4×Q8—611no—
900D4×Q8—611no—
901D4×Q8—611no—
902#547—611no—
903#547—1221no—
904#541—611no—
905#541—611no—
906#541—1221no—
907#541—1221no—
908#540—611no—
909#540—1221no—
910#540—1221no—
911#540C2×D6111yescharacteristic
912#533—611no—
913#533—1221no—
914#532—611no—
915#532—1221no—
916#529—611no—
917#529—1221no—
918#529—1221no—
919#520—611no—
920#520—611no—
921#519—611no—
922#519C2×D6111yescharacteristic
923C4×#41—611no—
924C2×C4×Q8—611no—
925#500—611no—
926#499—611no—
927#499—611no—
928#492—611no—
929#492—611no—
930#492—611no—
931#491—611no—
932#491—611no—
933#490—611no—
934#490—611no—
935#487—611no—
936#486—611no—
937#485—611no—
938#485—611no—
939#484—611no—
940#484—611no—
941#483—611no—
942#483—611no—
943#482—611no—
944#482—611no—
945#482C2×D6111yescharacteristic
946#482C2×D6111yescharacteristic
947#481—611no—
948#481—611no—
949#479—611no—
950#479—611no—
951#479—611no—
952#479—611no—
953#479C2×D6111yescharacteristic
954#479C2×D6111yescharacteristic
955#478—611no—
956#478—611no—
957#475—611no—
958#475—611no—
959#475—611no—
960#474—611no—
961#468—611no—
962#468—611no—
963#468—611no—
964#468—611no—
965#468—611no—
966#468—611no—
967#468—611no—
968#468—611no—
969#465—611no—
970#465—611no—
971#465—611no—
972#465—611no—
973#462—611no—
974#462—611no—
975#462—611no—
976#461—611no—
977#461—611no—
978#461—611no—
979#460—611no—
980#460—611no—
981#460—611no—
982#460—611no—
983#460C2×D6111yescharacteristic
984#460C2×D6111yescharacteristic
985#452—611no—
986#452—611no—
987#452—611no—
988#452—611no—
989#452—611no—
990#452—611no—
991#448—611no—
992#448—611no—
993#448—611no—
994#448—611no—
995#448C2×D6111yescharacteristic
996#448C2×D6111yescharacteristic
997#446—611no—
998C8×Q8—611no—
999#441—611no—
1000#441—611no—
1001#441—611no—
1002#441—611no—
1003#440—611no—
1004#440—611no—
1005#440—611no—
1006#440—611no—
1007#440—611no—
1008#440—611no—
1009#440C2×D6111yescharacteristic
1010#440C2×D6111yescharacteristic
1011C4×Q16—611no—
1012C4×Q16—611no—
1013C4×Q16—611no—
1014C4×Q16—611no—
1015C4×Q16—611no—
1016C4×Q16—611no—
1017C4×SD16—611no—
1018C4×SD16—611no—
1019C4×SD16—611no—
1020C4×SD16—611no—
1021C4×SD16—611no—
1022C4×SD16—611no—
1023C4×SD16—611no—
1024C4×SD16—611no—
1025C4×SD16C2×D6111yescharacteristic
1026C4×SD16C2×D6111yescharacteristic
1027#436—611no—
1028#436—611no—
1029#436—611no—
1030#435—611no—
1031#435—611no—
1032C8×D4—611no—
1033#433—611no—
1034#433C2×D6111yescharacteristic
1035#431—611no—
1036#428—611no—
1037#428—611no—
1038#428—611no—
1039#419—611no—
1040#417—611no—
1041#416—611no—
1042#416—611no—
1043C2×#103—611no—
1044C2×#103—611no—
1045#405—611no—
1046#405—611no—
1047C4×M16—611no—
1048C61#6155611yescharacteristic, complemented, Sylow
1049C2×#41—611no—
1050C2×#41—611no—
1051C2×#41—611no—
1052C2×#41—1221no—
1053C2×#41—1221no—
1054C2×#41—1221no—
1055C22×Q8—611no—
1056C22×Q8—611no—
1057C22×Q8C22×D6111yescharacteristic
1058#137—1224no—
1059#137—1224no—
1060#137—1224no—
1061C2×Q16—611no—
1062C2×Q16—611no—
1063C2×Q16—611no—
1064C2×Q16—611no—
1065C2×SD16—611no—
1066C2×SD16—611no—
1067C2×SD16—611no—
1068C2×SD16—611no—
1069C2×SD16—611no—
1070C2×SD16—611no—
1071C2×SD16—611no—
1072C2×SD16—611no—
1073C2×SD16C22×D6111yescharacteristic
1074C2×SD16C22×D6111yescharacteristic
1075C2×SD16C22×D6111yescharacteristic
1076C2×SD16C22×D6111yescharacteristic
1077C2×M16—611no—
1078C2×M16—611no—
1079C2×M16—611no—
1080C2×M16—611no—
1081C22×C8—611no—
1082C22×C8—611no—
1083C4⋊Q8—611no—
1084C4⋊Q8—611no—
1085C4⋊Q8—611no—
1086C4⋊Q8—611no—
1087C4⋊Q8—611no—
1088C4⋊Q8—1221no—
1089C4⋊Q8—1221no—
1090C4⋊Q8—1221no—
1091C4⋊Q8—1221no—
1092C4⋊Q8—1221no—
1093#127—611no—
1094#127—611no—
1095#127—1221no—
1096#127—1221no—
1097#127—1221no—
1098#127C22×D6111yescharacteristic
1099#126—611no—
1100#126—611no—
1101#126—1221no—
1102#126—1221no—
1103#126—1221no—
1104#126—1221no—
1105#126—1221no—
1106#126—1221no—
1107#126—1221no—
1108#126—1221no—
1109#126—1221no—
1110#126—1221no—
1111#125—611no—
1112#125—611no—
1113#125—611no—
1114#125—611no—
1115#125—1221no—
1116#125—1221no—
1117#125—1221no—
1118#125—1221no—
1119#125—1221no—
1120#125—1221no—
1121#125—1221no—
1122#125—1221no—
1123#125—1221no—
1124#125—1221no—
1125#125—1221no—
1126#125—1221no—
1127#125—1221no—
1128#125—1221no—
1129#125C22×D6111yescharacteristic
1130#124—611no—
1131#124—1221no—
1132#124—1221no—
1133#123—21no—
1134#123—21no—
1135#123—611no—
1136#123—611no—
1137#123—1221no—
1138#123—1221no—
1139#123—1221no—
1140#123—1221no—
1141#123—1221no—
1142#123—1221no—
1143#123—1221no—
1144#123—1221no—
1145C22⋊Q8—611no—
1146C22⋊Q8—611no—
1147C22⋊Q8—611no—
1148C22⋊Q8—611no—
1149C22⋊Q8—611no—
1150C22⋊Q8—611no—
1151C22⋊Q8—611no—
1152C22⋊Q8—1221no—
1153C22⋊Q8—1221no—
1154C22⋊Q8—1221no—
1155C22⋊Q8—1221no—
1156C22⋊Q8—1221no—
1157C22⋊Q8—1221no—
1158C22⋊Q8—1221no—
1159C22⋊Q8—1221no—
1160#121—21no—
1161#121—21no—
1162#121—611no—
1163#121—611no—
1164#121—611no—
1165#121—611no—
1166#121—611no—
1167#121—1221no—
1168#121—1221no—
1169#121—1221no—
1170#121—1221no—
1171#121—1221no—
1172#121—1221no—
1173#121—1221no—
1174#121—1221no—
1175#121—1221no—
1176#121—1221no—
1177#121—1221no—
1178#121—1221no—
1179#121—1221no—
1180#121—1221no—
1181#121C22×D6111yescharacteristic
1182#121C22×D6111yescharacteristic
1183C4×Q8—21no—
1184C4×Q8—21no—
1185C4×Q8—611no—
1186C4×Q8—611no—
1187C4×Q8—611no—
1188C4×Q8—611no—
1189C4×Q8—611no—
1190C4×Q8—611no—
1191C4×Q8—611no—
1192C4×Q8—611no—
1193C4×Q8—611no—
1194C4×Q8—611no—
1195C4×Q8—611no—
1196C4×Q8—1221no—
1197C4×Q8—1221no—
1198C4×Q8—1221no—
1199C4×Q8—1221no—
1200C4×Q8—1221no—
1201C4×Q8—1221no—
1202C4×Q8—1221no—
1203C4×Q8—1221no—
1204C4×Q8—1221no—
1205C4×Q8C22×D6111yescharacteristic
1206C4×Q8C22×D6111yescharacteristic
1207C4×Q8C22×D6111yescharacteristic
1208C4×Q8C22×D6111yescharacteristic
1209C4×D4—611no—
1210C4×D4—611no—
1211C4×D4—611no—
1212C4×D4—611no—
1213C4×D4—611no—
1214C4×D4—611no—
1215C4×D4—611no—
1216C4×D4—1221no—
1217C4×D4—1221no—
1218C4×D4—1221no—
1219C4×D4—1221no—
1220C4×D4—1221no—
1221C4×D4—1221no—
1222C4×D4—1221no—
1223C4×D4—1221no—
1224C4×D4—1221no—
1225C4×D4—1221no—
1226C4×D4—1221no—
1227C4×D4—1221no—
1228C4×D4—1221no—
1229C4×D4—1221no—
1230C4×D4—1221no—
1231C4×D4C22×D6111yescharacteristic
1232C4×D4C22×D6111yescharacteristic
1233#117—21no—
1234#117—21no—
1235#117—611no—
1236#117—611no—
1237#117—611no—
1238#117—1221no—
1239#117—1221no—
1240#117—1221no—
1241#117—1221no—
1242#117—1221no—
1243#117—1221no—
1244#117—1221no—
1245#117—1221no—
1246#117C22×D6111yescharacteristic
1247#117C22×D6111yescharacteristic
1248C2×C4⋊C4—611no—
1249C2×C4⋊C4—611no—
1250C2×C4⋊C4—611no—
1251C2×C4⋊C4—1221no—
1252C2×C4⋊C4—1221no—
1253C2×C4⋊C4—1221no—
1254C2×C42—611no—
1255C2×C42—1221no—
1256C2×C42—1221no—
1257#107—611no—
1258#107—611no—
1259#107—611no—
1260#107—611no—
1261#107—611no—
1262#107—611no—
1263#107C22×D6111yescharacteristic
1264#107C22×D6111yescharacteristic
1265#106—611no—
1266#106—611no—
1267#106—611no—
1268#106—611no—
1269#106—611no—
1270#106—611no—
1271#106C22×D6111yescharacteristic
1272#106C22×D6111yescharacteristic
1273C4⋊C8—611no—
1274C4⋊C8—611no—
1275C4⋊C8—611no—
1276C4⋊C8—611no—
1277C4⋊C8C22×D6111yescharacteristic
1278C4⋊C8C22×D6111yescharacteristic
1279#103—611no—
1280#103—611no—
1281#103—611no—
1282#103—611no—
1283#103—611no—
1284#103—611no—
1285#103—611no—
1286#103—611no—
1287#103—611no—
1288#103—611no—
1289#103—611no—
1290#103—611no—
1291#103—611no—
1292#103—611no—
1293#103—611no—
1294#103—611no—
1295#103C22×D6111yescharacteristic
1296#103C22×D6111yescharacteristic
1297#103C22×D6111yescharacteristic
1298#103C22×D6111yescharacteristic
1299#102—611no—
1300#102—611no—
1301#102—611no—
1302#102—611no—
1303#102—611no—
1304#102—611no—
1305#102—611no—
1306#102—611no—
1307#102C22×D6111yescharacteristic
1308#102C22×D6111yescharacteristic
1309#102C22×D6111yescharacteristic
1310#102C22×D6111yescharacteristic
1311C22⋊C8—611no—
1312C22⋊C8—611no—
1313C22⋊C8—611no—
1314C22⋊C8—611no—
1315C22⋊C8C22×D6111yescharacteristic
1316C22⋊C8C22×D6111yescharacteristic
1317#97—611no—
1318#97—611no—
1319#97—611no—
1320#97C22×D6111yescharacteristic
1321C4×C8—611no—
1322C4×C8—611no—
1323C4×C8—611no—
1324C4×C8—611no—
1325C4×C8—611no—
1326C4×C8C22×D6111yescharacteristic
1327#41—1222no—
1328#41—1222no—
1329#41—1222no—
1330#41—4882no—
1331#41—4882no—
1332#41—4882no—
1333#41—2441no—
1334#41—2441no—
1335#41—2441no—
1336C2×Q8—21no—
1337C2×Q8—22no—
1338C2×Q8—41no—
1339C2×Q8—611no—
1340C2×Q8—611no—
1341C2×Q8—611no—
1342C2×Q8—611no—
1343C2×Q8—1221no—
1344C2×Q8—1221no—
1345C2×Q8—1221no—
1346C2×Q8—1221no—
1347C2×Q8—1222no—
1348C2×Q8—1222no—
1349C2×Q8—2441no—
1350C2×Q8—2441no—
1351C2×Q8C23×D6111yescharacteristic
1352C2×Q8C23×D6111yescharacteristic
1353C2×D4—21no—
1354C2×D4—21no—
1355C2×D4—21no—
1356C2×D4—21no—
1357C2×D4—611no—
1358C2×D4—611no—
1359C2×D4—611no—
1360C2×D4—611no—
1361C2×D4—1221no—
1362C2×D4—1221no—
1363C2×D4—1221no—
1364C2×D4—1221no—
1365C2×D4—1221no—
1366C2×D4—1221no—
1367C2×D4—1221no—
1368C2×D4—1221no—
1369C2×D4—1221no—
1370C2×D4—1221no—
1371C2×D4—1221no—
1372C2×D4C23×D6111yescharacteristic
1373C2×D4C23×D6111yescharacteristic
1374C22×C4—21no—
1375C22×C4—21no—
1376C22×C4—21no—
1377C22×C4—611no—
1378C22×C4—611no—
1379C22×C4—611no—
1380C22×C4—611no—
1381C22×C4—1221no—
1382C22×C4—1221no—
1383C22×C4—1221no—
1384C22×C4—1221no—
1385C22×C4—1221no—
1386C22×C4—1221no—
1387C22×C4—1221no—
1388C22×C4—1221no—
1389C22×C4—1221no—
1390C22×C4—1221no—
1391C22×C4—1221no—
1392C22×C4—1221no—
1393C22×C4C23×D6111yescharacteristic
1394Q16—614no—
1395Q16—1222no—
1396Q16—1222no—
1397Q16—1222no—
1398SD16—22no—
1399SD16—22no—
1400SD16—41no—
1401SD16—41no—
1402SD16—1222no—
1403SD16—1222no—
1404SD16—1222no—
1405SD16—1222no—
1406SD16—2441no—
1407SD16—2441no—
1408SD16—2441no—
1409SD16—2441no—
1410M16—1222no—
1411M16—1222no—
1412M16—1222no—
1413M16—2441no—
1414C2×C8—611no—
1415C2×C8—611no—
1416C2×C8—611no—
1417C2×C8—611no—
1418C2×C8—2441no—
1419C2×C8—2441no—
1420C2×C8C23×D6111yescharacteristic
1421C2×C8C23×D6111yescharacteristic
1422C2×C8C23×D6111yescharacteristic
1423C2×C8C23×D6111yescharacteristic
1424C4⋊C4—21no—
1425C4⋊C4—21no—
1426C4⋊C4—21no—
1427C4⋊C4—21no—
1428C4⋊C4—21no—
1429C4⋊C4—21no—
1430C4⋊C4—611no—
1431C4⋊C4—611no—
1432C4⋊C4—611no—
1433C4⋊C4—611no—
1434C4⋊C4—611no—
1435C4⋊C4—611no—
1436C4⋊C4—611no—
1437C4⋊C4—611no—
1438C4⋊C4—611no—
1439C4⋊C4—611no—
1440C4⋊C4—611no—
1441C4⋊C4—611no—
1442C4⋊C4—1221no—
1443C4⋊C4—1221no—
1444C4⋊C4—1221no—
1445C4⋊C4—1221no—
1446C4⋊C4—1221no—
1447C4⋊C4—1221no—
1448C4⋊C4—1221no—
1449C4⋊C4—1221no—
1450C4⋊C4—1221no—
1451C4⋊C4—1221no—
1452C4⋊C4—1221no—
1453C4⋊C4—1221no—
1454C4⋊C4—1221no—
1455C4⋊C4—1221no—
1456C4⋊C4—1221no—
1457C4⋊C4—1221no—
1458C4⋊C4—1221no—
1459C4⋊C4—1221no—
1460C4⋊C4—1221no—
1461C4⋊C4—1221no—
1462C4⋊C4—1221no—
1463C4⋊C4—1221no—
1464C4⋊C4—1221no—
1465C4⋊C4—1221no—
1466C4⋊C4—1221no—
1467C4⋊C4—1221no—
1468C4⋊C4—1221no—
1469C4⋊C4—1221no—
1470C4⋊C4—1221no—
1471C4⋊C4—1221no—
1472C4⋊C4—1221no—
1473C4⋊C4—1221no—
1474C4⋊C4—1221no—
1475C4⋊C4D4×D6111yescharacteristic
1476C4⋊C4D4×D6111yescharacteristic
1477C4⋊C4C23×D6111yescharacteristic
1478C4⋊C4C23×D6111yescharacteristic
1479C4⋊C4C23×D6111yescharacteristic
1480C4⋊C4C23×D6111yescharacteristic
1481C22⋊C4—21no—
1482C22⋊C4—21no—
1483C22⋊C4—21no—
1484C22⋊C4—21no—
1485C22⋊C4—21no—
1486C22⋊C4—611no—
1487C22⋊C4—611no—
1488C22⋊C4—611no—
1489C22⋊C4—611no—
1490C22⋊C4—611no—
1491C22⋊C4—611no—
1492C22⋊C4—611no—
1493C22⋊C4—611no—
1494C22⋊C4—1221no—
1495C22⋊C4—1221no—
1496C22⋊C4—1221no—
1497C22⋊C4—1221no—
1498C22⋊C4—1221no—
1499C22⋊C4—1221no—
1500C22⋊C4—1221no—
1501C22⋊C4—1221no—
1502C22⋊C4—1221no—
1503C22⋊C4—1221no—
1504C22⋊C4—1221no—
1505C22⋊C4—1221no—
1506C22⋊C4—1221no—
1507C22⋊C4—1221no—
1508C22⋊C4—1221no—
1509C22⋊C4—1221no—
1510C22⋊C4D4×D6111yescharacteristic
1511C22⋊C4D4×D6111yescharacteristic
1512C42—21no—
1513C42—21no—
1514C42—21no—
1515C42—21no—
1516C42—21no—
1517C42—611no—
1518C42—611no—
1519C42—611no—
1520C42—611no—
1521C42—1221no—
1522C42—1221no—
1523C42—1221no—
1524C42—1221no—
1525C42—1221no—
1526C42—1221no—
1527C42—1221no—
1528C42—1221no—
1529C42—1221no—
1530C42—1221no—
1531C42—1221no—
1532C42—1221no—
1533C42C23×D6111yescharacteristic
1534C42C23×D6111yescharacteristic
1535C23—21no—
1536C23—21no—
1537C23—611no—
1538C23—611no—
1539C23—1221no—
1540C23C2×D4×D6111yescharacteristic
1541Q8—21no—
1542Q8—21no—
1543Q8—21no—
1544Q8—42no—
1545Q8—612no—
1546Q8—1222no—
1547Q8—1221no—
1548Q8—1221no—
1549Q8—1221no—
1550Q8—1221no—
1551Q8—1221no—
1552Q8—2442no—
1553Q8—2442no—
1554Q8—2442no—
1555Q8—2442no—
1556Q8#41×D6112yes—
1557D4—21no—
1558D4—21no—
1559D4—21no—
1560D4—21no—
1561D4—81no—
1562D4—81no—
1563D4—81no—
1564D4—81no—
1565D4—1222no—
1566D4—1221no—
1567D4—1221no—
1568D4—4881no—
1569D4—4881no—
1570D4—4881no—
1571D4—4881no—
1572D4—4881no—
1573D4—4881no—
1574D4—4881no—
1575D4—2441no—
1576D4—2442no—
1577D4—2441no—
1578D4—2442no—
1579D4—2442no—
1580D4—2442no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—42no—
1590C2×C4—81no—
1591C2×C4—81no—
1592C2×C4—611no—
1593C2×C4—611no—
1594C2×C4—611no—
1595C2×C4—611no—
1596C2×C4—611no—
1597C2×C4—611no—
1598C2×C4—1222no—
1599C2×C4—1221no—
1600C2×C4—1221no—
1601C2×C4—1221no—
1602C2×C4—1221no—
1603C2×C4—1221no—
1604C2×C4—1221no—
1605C2×C4—1221no—
1606C2×C4—1221no—
1607C2×C4—1221no—
1608C2×C4—1221no—
1609C2×C4—1221no—
1610C2×C4—4881no—
1611C2×C4—4881no—
1612C2×C4—4881no—
1613C2×C4—4881no—
1614C2×C4—4881no—
1615C2×C4—2441no—
1616C2×C4—2442no—
1617C2×C4—2442no—
1618C2×C4—2442no—
1619C2×C4—2442no—
1620C2×C4—2442no—
1621C2×C4—2442no—
1622C2×C4—2442no—
1623C2×C4C2×D4×D6111yescharacteristic
1624C2×C4C2×D4×D6111yescharacteristic
1625C2×C4C2×D4×D6111yescharacteristic
1626C2×C4C2×D4×D6111yescharacteristic
1627C2×C4C2×D4×D6111yescharacteristic
1628C2×C4C24×D6111yescharacteristic
1629C8—21no—
1630C8—21no—
1631C8—21no—
1632C8—21no—
1633C8—612no—
1634C8—1221no—
1635C8—1221no—
1636C8—1221no—
1637C22—21no—
1638C22—21no—
1639C22—21no—
1640C22—41no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—1221no—
1647C22—1221no—
1648C22—1221no—
1649C22—1221no—
1650C22—1221no—
1651C22—1221no—
1652C22—2441no—
1653C22—2441no—
1654C22—2441no—
1655C22C22×D4×D6111yescharacteristic
1656C4—21no—
1657C4—21no—
1658C4—21no—
1659C4—22no—
1660C4—21no—
1661C4—21no—
1662C4—41no—
1663C4—41no—
1664C4—41no—
1665C4—41no—
1666C4—41no—
1667C4—612no—
1668C4—1221no—
1669C4—1221no—
1670C4—1221no—
1671C4—1222no—
1672C4—1221no—
1673C4—1221no—
1674C4—2441no—
1675C4—2441no—
1676C4—2441no—
1677C4—2441no—
1678C4—2441no—
1679C4—2441no—
1680C4C2×#41×D6111yescharacteristic
1681C4#1684059811yescharacteristic
1682C2—41no—
1683C2—81no—
1684C2—81no—
1685C2—4881no—
1686C2—2441no—
1687C2—2441no—
1688C2#2145930211yescharacteristic
1689C2#577×D6111yescharacteristic
1690C2#2146060111yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3126C2
socleC22×C61C23×D4
prime radical#21459821C2
hypercenter#3126D61
hypocenterC61#61556
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ #117 ◁ #3126

Complements

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

NH ≅ G/Ntype
1. #21459909C2semidirect
3. #21458799C2semidirect
4. #21458705C2semidirect
5. #21458625C2semidirect
6. #21458543C2semidirect
7. #21458401C2semidirect
8. #21458376C2semidirect
9. #21458372C2semidirect
10. #21457994C2semidirect
11. #21457987C2semidirect
12. #21457952C2semidirect
13. #21457943C2semidirect
14. #21457756C2semidirect
15. #21457677C2semidirect
16. #21457488C2semidirect
17. #21457483C2semidirect
18. #21457483C2semidirect
19. #21456534C2semidirect
20. #21456443C2semidirect
21. #21456441C2semidirect
22. #21456109C2semidirect
23. #21456037C2semidirect
24. #21456035C2semidirect
25. #21455886C2semidirect
26. #21455848C2semidirect
27. #21454821C2semidirect
28. #21454662C2semidirect
29. #21454655C2semidirect
30. #21454641C2semidirect
31. C61×#3126C2semidirect
591. #11758202#41semidirect
859. #3126D61semidirect
1048. C61#61556semidirect

Maximal subgroups

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

subgroupindex
#214599092
#214598212
#214587992
#214587052
#214586252
#214585432
#214584012
#214583762
#214583722
#214579942
#214579872
#214579522
#214579432
#214577562
#214576772
#214574882
#214574832
#214565342
#214564432
#214564412
#214561092
#214560372
#214560352
#214558862
#214558482
#214548212
#214546622
#214546552
#214546412
C61×#31262
#6155661