Finite Group Databasebeta

← #30573488

Subgroups — #30573488

Order 15616.

1846 conjugacy classes of subgroups.

The subgroup lattice has 1786 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21460410C211yesmaximal, characteristic, complemented
2#21459820C211yesmaximal, characteristic, complemented
3#21458858C211yesmaximal, characteristic, complemented
4#21458834C211yesmaximal, characteristic, complemented
5#21458666C211yesmaximal, characteristic, complemented
6#21458584C211yesmaximal, characteristic, complemented
7#21457820C211yesmaximal, characteristic, complemented
8#21457810C211yesmaximal, characteristic, complemented
9#21457788C211yesmaximal, characteristic, complemented
10#21457782C211yesmaximal, characteristic, complemented
11#21457725C211yesmaximal, characteristic, complemented
12#21457675C211yesmaximal, characteristic, complemented
13#21457572C211yesmaximal, characteristic, complemented
14#21457543C211yesmaximal, characteristic, complemented
15#21457398C211yesmaximal, characteristic, complemented
16#21457362C211yesmaximal, characteristic, complemented
17#21457360C211yesmaximal, characteristic, complemented
18#21457259C211yesmaximal, characteristic, complemented
19#21457255C211yesmaximal, characteristic, complemented
20#21457143C211yesmaximal, characteristic, complemented
21#21456876C211yesmaximal, characteristic, complemented
22#21456867C211yesmaximal, characteristic, complemented
23#21456809C211yesmaximal, characteristic, complemented
24#21456026C211yesmaximal, characteristic, complemented
25#21456019C211yesmaximal, characteristic, complemented
26#21455934C211yesmaximal, characteristic, complemented
27#21455373C211yesmaximal, characteristic, complemented
28#21455356C211yesmaximal, characteristic, complemented
29#21455273C211yesmaximal, characteristic, complemented
30#21454954C211yesmaximal, characteristic, complemented
31C61×#3271C211yesmaximal, characteristic, complemented
32C2×#14519802C2211yescharacteristic
33C2×#14519800C2211yescharacteristic
34C2×#14519798C2211yescharacteristic, complemented
35C2×#14519797C2211yescharacteristic
36#16840508—21no—
37#16840500—21no—
38#16840494C2211yescharacteristic
39#16840491C2211yescharacteristic, complemented
40#16840484C2211yescharacteristic
41#16840464—21no—
42#16840464—21no—
43#16840464C2211yescharacteristic
44#16840464C2211yescharacteristic, complemented
45#16840461—21no—
46#16840442—21no—
47#16840432—21no—
48#16840432C2211yescharacteristic, complemented
49#16840431C2211yescharacteristic
50#16840431C2211yescharacteristic, complemented
51#16840430C2211yescharacteristic
52#16840423C2211yescharacteristic
53#16840416—21no—
54#16840416C2211yescharacteristic
55#16840411C2211yescharacteristic
56#16840408C2211yescharacteristic
57#16840403C2211yescharacteristic
58#16840372C2211yescharacteristic
59#16840365—21no—
60#16840365—21no—
61#16840365C2211yescharacteristic
62#16840365C2211yescharacteristic
63#16840365C2211yescharacteristic, complemented
64#16840363—21no—
65#16840361—21no—
66#16840346—21no—
67#16840344—21no—
68#16840336C2211yescharacteristic
69#16840326C2211yescharacteristic
70#16840311C2211yescharacteristic
71#16840310—21no—
72#16840310C2211yescharacteristic, complemented
73#16840299C2211yescharacteristic
74#16840294—21no—
75#16840294C2211yescharacteristic
76#16840245C2211yescharacteristic
77#16840245C2211yescharacteristic, complemented
78C4×#11758226C2211yescharacteristic, complemented
79#16840149C2211yescharacteristic
80#16840148C2211yescharacteristic
81#16840148C2211yescharacteristic
82#16840137C2211yescharacteristic
83#16840133C2211yescharacteristic, complemented
84#16840129C2211yescharacteristic, complemented
85#16840125C2211yescharacteristic
86#16840122C2211yescharacteristic
87#16840121C2211yescharacteristic, complemented
88#16840118C2211yescharacteristic
89#16840118C2211yescharacteristic
90#16840101C2211yescharacteristic, complemented
91#16840095C2211yescharacteristic
92#16840093C2211yescharacteristic
93#16840088C2211yescharacteristic
94#16840081C2211yescharacteristic
95#16840073C2211yescharacteristic, complemented
96#16840072C2211yescharacteristic, complemented
97#16840067C2211yescharacteristic, complemented
98#16840067C2211yescharacteristic, complemented
99#16840064C2211yescharacteristic, complemented
100#16840064C2211yescharacteristic, complemented
101#16840064C2211yescharacteristic, complemented
102#16840061C2211yescharacteristic
103#16840061C2211yescharacteristic, complemented
104#16840057C2211yescharacteristic, complemented
105#16840053C2211yescharacteristic
106#16840015C2211yescharacteristic
107#16840010C2211yescharacteristic
108#16840006C2211yescharacteristic
109#16839997C2211yescharacteristic
110#16839997C2211yescharacteristic
111#16839996C2211yescharacteristic
112#16839996C2211yescharacteristic, complemented
113#16839991C2211yescharacteristic
114#16839988C2211yescharacteristic, complemented
115#16839988C2211yescharacteristic, complemented
116#16839986C2211yescharacteristic
117#16839986C2211yescharacteristic
118#16839986C2211yescharacteristic
119#16839984C2211yescharacteristic
120#16839980C2211yescharacteristic
121#16839979C2211yescharacteristic
122#16839979C2211yescharacteristic
123#16839979C2211yescharacteristic
124#16839979C2211yescharacteristic
125#16839978C2211yescharacteristic
126#16839974C2211yescharacteristic, complemented
127#16839970C2211yescharacteristic, complemented
128#16839970C2211yescharacteristic, complemented
129#16839966C2211yescharacteristic, complemented
130#16839965C2211yescharacteristic, complemented
131#16839965C2211yescharacteristic, complemented
132#16839965C2211yescharacteristic, complemented
133#16839961C2211yescharacteristic, complemented
134#16839960C2211yescharacteristic
135#16839960C2211yescharacteristic
136#16839960C2211yescharacteristic, complemented
137#16839956C2211yescharacteristic
138#16839956C2211yescharacteristic
139#16839955C2211yescharacteristic
140#16839955C2211yescharacteristic
141#16839955C2211yescharacteristic
142#16839955C2211yescharacteristic, complemented
143#16839954C2211yescharacteristic
144#16839924C2211yescharacteristic
145#16839923C2211yescharacteristic, complemented
146#16839910C2211yescharacteristic
147#16839909C2211yescharacteristic
148#16839907C2211yescharacteristic
149#16839907C2211yescharacteristic
150#16839906C2211yescharacteristic
151#16839906C2211yescharacteristic
152#16839905C2211yescharacteristic
153#16839904C2211yescharacteristic, complemented
154#16839904C2211yescharacteristic, complemented
155#16839901C2211yescharacteristic, complemented
156#16839898C2211yescharacteristic
157#16839895C2211yescharacteristic
158#16839891C2211yescharacteristic, complemented
159#16839890C2211yescharacteristic, complemented
160#16839875C2211yescharacteristic
161#16839874C2211yescharacteristic, complemented
162#16839869C2211yescharacteristic, complemented
163#16839865C2211yescharacteristic
164#16839860C2211yescharacteristic
165#16839860C2211yescharacteristic, complemented
166#16839859C2211yescharacteristic, complemented
167#16839854C2211yescharacteristic, complemented
168SD16×Dic61C2211yescharacteristic, complemented
169SD16×Dic61C2211yescharacteristic, complemented
170#16839842C2211yescharacteristic
171#16839836C2211yescharacteristic
172#16839834C2211yescharacteristic
173#16839831C2211yescharacteristic, complemented
174C8×C22⋊D61C2211yescharacteristic
175#16839825C2211yescharacteristic, complemented
176#16839820C2211yescharacteristic
177#16839820C2211yescharacteristic, complemented
178#16839817C2211yescharacteristic, complemented
179#16839790C2211yescharacteristic, complemented
180#16839788C2211yescharacteristic
181C4⋊C8×D61C2211yescharacteristic, complemented
182#16839764C2211yescharacteristic
183#16839763C2211yescharacteristic
184#16839757C2211yescharacteristic
185#16839755C2211yescharacteristic, complemented
186C2×#14519701C2211yescharacteristic, complemented
187C2×#14519699C2211yescharacteristic
188C2×#137×C61C2211yescharacteristic, complemented
189C2×#135×C61C2211yescharacteristic
190C61×#550C2211yescharacteristic
191C61×#548C2211yescharacteristic
192C61×#496C2211yescharacteristic, complemented
193C61×#469C2211yescharacteristic, complemented
194C61×#465C2211yescharacteristic
195C61×#464C2211yescharacteristic, complemented
196C61×#460C2211yescharacteristic, complemented
197C61×#452C2211yescharacteristic
198C61×#449C2211yescharacteristic
199C61×#449C2211yescharacteristic, complemented
200C61×#448C2211yescharacteristic, complemented
201C61×#441C2211yescharacteristic, complemented
202C61×#435C2211yescharacteristic
203C2×#11758226C2311yescharacteristic
204C2×#11758226C2311yescharacteristic
205C2×#11758222C2311yescharacteristic
206C2×#11758224—21no—
207C2×#11758224—21no—
208C2×#11758224—21no—
209C2×#11758224C2311yescharacteristic
210C22×D244C2311yescharacteristic
211#14519802—42no—
212#14519800—42no—
213#14519798—42no—
214#14519797—42no—
215C2×#11758202C2311yescharacteristic
216C2×#11758190C2311yescharacteristic
217C2×#11758200C2311yescharacteristic
218C2×#11758200C2311yescharacteristic
219C2×#11758201C2311yescharacteristic
220C2×#11758201C2311yescharacteristic
221C2×#11758201C2311yescharacteristic
222C2×#11758201C2311yescharacteristic
223C2×D488C2311yescharacteristic
224C2×D488C2311yescharacteristic
225C2×#11758199C2311yescharacteristic
226C2×#11758199C2311yescharacteristic
227C2×#11758199C2311yescharacteristic
228C2×#11758199C2311yescharacteristic
229C2×#11758199C2311yescharacteristic
230C2×#11758194C2311yescharacteristic
231C22×#92418C2311yescharacteristic
232C2×C8×D61C2311yescharacteristic
233C2×C8×D61C2311yescharacteristic
234#14519777—21no—
235#14519777C2311yescharacteristic
236#14519775C2311yescharacteristic
237#14519775C2311yescharacteristic
238#14519773—21no—
239#14519773—21no—
240#14519773—21no—
241#14519773C2311yescharacteristic
242#14519773C2311yescharacteristic
243#14519773C2311yescharacteristic
244#14519773C2311yescharacteristic
245#14519772—21no—
246#14519772—21no—
247#14519771—21no—
248#14519770—21no—
249#14519770—21no—
250#14519770—21no—
251#14519770—21no—
252#14519770D411yescharacteristic
253#14519770D411yescharacteristic
254#14519768—21no—
255#14519768—21no—
256#14519768—21no—
257#14519768D411yescharacteristic
258#14519768C2311yescharacteristic
259#14519768C2311yescharacteristic
260#14519768C2311yescharacteristic
261#14519767—21no—
262#14519766—21no—
263#14519766C2311yescharacteristic
264#14519766C2311yescharacteristic
265#14519766C2311yescharacteristic
266#14519765C2311yescharacteristic
267#14519764—21no—
268#14519764D411yescharacteristic
269#14519763—21no—
270#14519762—21no—
271#14519762—21no—
272#14519762—21no—
273#14519761—21no—
274#14519761—21no—
275#14519761—21no—
276#14519761—21no—
277#14519761—21no—
278#14519761—21no—
279#14519761—21no—
280#14519761—21no—
281#14519760—21no—
282#14519760—21no—
283#14519760—21no—
284#14519759—21no—
285#14519759—21no—
286#14519759—21no—
287#14519759—21no—
288#14519759D411yescharacteristic
289#14519759D411yescharacteristic
290#14519758—21no—
291#14519757—21no—
292#14519757D411yescharacteristic
293#14519756C2311yescharacteristic
294#14519755—21no—
295#14519753—21no—
296#14519753—21no—
297#14519753—21no—
298#14519753C2311yescharacteristic
299#14519752—21no—
300#14519752C2311yescharacteristic
301#14519751—21no—
302#14519751—21no—
303#14519751—21no—
304#14519751—21no—
305#14519751—21no—
306#14519751C2311yescharacteristic
307#14519751C2311yescharacteristic
308#14519751C2311yescharacteristic
309#14519750—21no—
310#14519750—21no—
311#14519750—21no—
312#14519750—21no—
313#14519749—21no—
314#14519749—21no—
315#14519749—21no—
316#14519749—21no—
317#14519749—21no—
318#14519749—21no—
319#14519749—21no—
320#14519749—21no—
321#14519749—21no—
322#14519748—21no—
323#14519748—21no—
324#14519748—21no—
325#14519748—21no—
326#14519748—21no—
327#14519748—21no—
328#14519748—21no—
329#14519748D411yescharacteristic
330#14519748C2311yescharacteristic
331#14519748C2311yescharacteristic
332#14519747—21no—
333#14519745—21no—
334#14519745—21no—
335#14519745—21no—
336Q8×Dic61C2311yescharacteristic
337Q8×Dic61C2311yescharacteristic
338Q8×Dic61C2311yescharacteristic
339Q8×Dic61C2311yescharacteristic
340C4×Dic122—21no—
341C4×Dic122C2311yescharacteristic
342#14519742C2311yescharacteristic
343C4×D244—21no—
344C4×D244—21no—
345C4×D244C2311yescharacteristic
346C4×D244C2311yescharacteristic
347D4×Dic61—21no—
348D4×Dic61—21no—
349D4×Dic61—21no—
350D4×Dic61—21no—
351D4×Dic61—21no—
352D4×Dic61—21no—
353D4×Dic61—21no—
354D4×Dic61C2311yescharacteristic
355D4×Dic61C2311yescharacteristic
356D4×Dic61C2311yescharacteristic
357D4×Dic61C2311yescharacteristic
358D4×Dic61C2311yescharacteristic
359#14519739—21no—
360#14519739C2311yescharacteristic
361#14519739C2311yescharacteristic
362C4×C22⋊D61—21no—
363C4×C22⋊D61—21no—
364C4×C22⋊D61—21no—
365C4×C22⋊D61C2311yescharacteristic
366C4×C22⋊D61C2311yescharacteristic
367#14519737—21no—
368#14519737—21no—
369#14519737—21no—
370#14519737—21no—
371#14519736—21no—
372#14519736—21no—
373#14519736C2311yescharacteristic
374#14519736C2311yescharacteristic
375#14519735—21no—
376#14519735C2311yescharacteristic
377#14519734—21no—
378#14519734—21no—
379C2×C4⋊Dic61—21no—
380C2×C4⋊Dic61—21no—
381C2×C4⋊Dic61C2311yescharacteristic
382C2×C4⋊Dic61C2311yescharacteristic
383C2×#11758196—21no—
384C22⋊C4×D61—21no—
385C22⋊C4×D61—21no—
386C42×D61—21no—
387C42×D61C2311yescharacteristic
388#14519710C2311yescharacteristic
389#14519710C2311yescharacteristic
390#14519710C2311yescharacteristic
391#14519710C2311yescharacteristic
392#14519709C2311yescharacteristic
393#14519709C2311yescharacteristic
394#14519709C2311yescharacteristic
395C4⋊#92418C2311yescharacteristic
396#14519706C2311yescharacteristic
397#14519706C2311yescharacteristic
398#14519706C2311yescharacteristic
399#14519706C2311yescharacteristic
400#14519706C2311yescharacteristic
401#14519706C2311yescharacteristic
402#14519706C2311yescharacteristic
403#14519706C2311yescharacteristic
404#14519702C2311yescharacteristic
405#14519702C2311yescharacteristic
406#14519702C2311yescharacteristic
407#14519701C2311yescharacteristic
408#14519701C2311yescharacteristic
409#14519701C2311yescharacteristic
410#14519701C2311yescharacteristic
411#14519701C2311yescharacteristic
412#14519701C2311yescharacteristic
413#14519701C2311yescharacteristic
414#14519700C2311yescharacteristic
415#14519699C2311yescharacteristic
416#14519699C2311yescharacteristic
417#14519699C2311yescharacteristic
418#14519699C2311yescharacteristic
419#14519699C2311yescharacteristic
420#14519699C2311yescharacteristic
421#14519699C2311yescharacteristic
422#14519698C2311yescharacteristic
423#14519698C2311yescharacteristic
424#14519698C2311yescharacteristic
425#14519698C2311yescharacteristic
426#14519698C2311yescharacteristic
427#14519697C2311yescharacteristic
428#14519697C2311yescharacteristic
429#14519697C2311yescharacteristic
430C22⋊#92418C2311yescharacteristic
431C22⋊#92418C2311yescharacteristic
432#14519689C2311yescharacteristic
433#14519689C2311yescharacteristic
434#14519688C2311yescharacteristic
435#14519687C2311yescharacteristic
436#14519687C2311yescharacteristic
437C8×Dic61C2311yescharacteristic
438C8×Dic61C2311yescharacteristic
439C2×#41×C61C2311yescharacteristic
440C2×#41×C61C2311yescharacteristic
441C2×#41×C61C2311yescharacteristic
442C22×Q8×C61C2311yescharacteristic
443#137×C61—42no—
444#135×C61—42no—
445C2×Q16×C61C2311yescharacteristic
446C2×Q16×C61C2311yescharacteristic
447C2×SD16×C61C2311yescharacteristic
448C2×SD16×C61C2311yescharacteristic
449C2×SD16×C61C2311yescharacteristic
450C2×SD16×C61C2311yescharacteristic
451C2×SD16×C61C2311yescharacteristic
452C2×D8×C61C2311yescharacteristic
453C2×D8×C61C2311yescharacteristic
454C2×M16×C61C2311yescharacteristic
455C22×C8×C61C2311yescharacteristic
456#127×C61—21no—
457#127×C61C2311yescharacteristic
458#124×C61—21no—
459#124×C61C2311yescharacteristic
460C22⋊Q8×C61—21no—
461C22⋊Q8×C61C2311yescharacteristic
462#121×C61—21no—
463#121×C61—21no—
464#121×C61—21no—
465#121×C61C2311yescharacteristic
466#121×C61C2311yescharacteristic
467#121×C61C2311yescharacteristic
468C4×Q8×C61C2311yescharacteristic
469C4×Q8×C61C2311yescharacteristic
470C4×D4×C61—21no—
471C4×D4×C61—21no—
472C4×D4×C61C2311yescharacteristic
473#106×C61C2311yescharacteristic
474C4⋊C8×C61C2311yescharacteristic
475#103×C61C2311yescharacteristic
476#103×C61C2311yescharacteristic
477#103×C61C2311yescharacteristic
478#102×C61C2311yescharacteristic
479#102×C61C2311yescharacteristic
480#102×C61C2311yescharacteristic
481C22⋊C8×C61C2311yescharacteristic
482C22⋊C8×C61C2311yescharacteristic
483#97×C61C2311yescharacteristic
484C23×D61—21no—
485#41×C61—22no—
486#41×C61—22no—
487#41×C61—41no—
488#41×C61—41no—
489#41×C61—41no—
490#41×C61—41no—
491C2×Q8×C61—21no—
492C2×Q8×C61—41no—
493C2×Q8×C61—41no—
494C2×Q8×C61C2411yescharacteristic
495C2×Q8×C61C2411yescharacteristic
496C2×Q8×C61C2411yescharacteristic
497C2×D4×C61—21no—
498C2×D4×C61—21no—
499C2×D4×C61—21no—
500C2×D4×C61—21no—
501C2×D4×C61—21no—
502C2×D4×C61—21no—
503C2×D4×C61—21no—
504C2×D4×C61—21no—
505C2×D4×C61C2×D411yescharacteristic
506C2×D4×C61C2411yescharacteristic
507C2×D4×C61C2411yescharacteristic
508C2×D4×C61C2411yescharacteristic
509C22×C4×C61—21no—
510C22×C4×C61—21no—
511C22×C4×C61—21no—
512C22×C4×C61—21no—
513C22×C4×C61C2411yescharacteristic
514C22×C4×C61C2411yescharacteristic
515C2×C22⋊D61—21no—
516C2×C22⋊D61—21no—
517C2×C22⋊D61—21no—
518C2×C22⋊D61—21no—
519C2×C22⋊D61—21no—
520C2×C22⋊D61—21no—
521C2×C22⋊D61—21no—
522C2×C22⋊D61—21no—
523C2×C22⋊D61—21no—
524C2×C22⋊D61—21no—
525C2×C22⋊D61—21no—
526C2×C22⋊D61—21no—
527C2×C22⋊D61—21no—
528C2×C22⋊D61—21no—
529C2×C22⋊D61—21no—
530C2×C22⋊D61C2×D411yescharacteristic
531C2×C22⋊D61C2×D411yescharacteristic
532C22×Dic61—21no—
533C22×Dic61—21no—
534C22×Dic61—21no—
535C22×Dic61—21no—
536C22×Dic61—21no—
537C22×Dic61—21no—
538C22×Dic61—21no—
539C22×Dic61—21no—
540#11758226—22no—
541#11758226—41no—
542#11758226—41no—
543#11758226—41no—
544#11758224—41no—
545#11758224—41no—
546#11758224—82no—
547#11758224—82no—
548#11758224—82no—
549#11758222—41no—
550#11758222—41no—
551C2×D244—21no—
552C2×D244—21no—
553C2×D244—21no—
554C2×D244—21no—
555C2×D244—41no—
556C2×D244—41no—
557C2×D244C2411yescharacteristic
558C2×D244C2411yescharacteristic
559C2×D244C2411yescharacteristic
560C2×C4×D61—21no—
561C2×C4×D61—21no—
562C2×C4×D61—21no—
563C2×C4×D61—21no—
564C2×C4×D61—21no—
565C2×C4×D61—21no—
566C2×C4×D61—21no—
567C2×C4×D61C2×D411yescharacteristic
568C2×C4×D61C2×D411yescharacteristic
569C2×C4×D61C2411yescharacteristic
570C2×Dic122—21no—
571C2×Dic122C2×D411yescharacteristic
572C2×Dic122C2411yescharacteristic
573Q16×C61—22no—
574Q16×C61—22no—
575SD16×C61—22no—
576SD16×C61—41no—
577SD16×C61—41no—
578SD16×C61—41no—
579SD16×C61—41no—
580D8×C61—41no—
581D8×C61—41no—
582M16×C61—41no—
583C2×C8×C61—41no—
584C2×C8×C61C2411yescharacteristic
585C2×C8×C61C2411yescharacteristic
586C2×C8×C61C2411yescharacteristic
587C2×C8×C61C2411yescharacteristic
588C4⋊C4×C61—21no—
589C4⋊C4×C61—21no—
590C4⋊C4×C61—21no—
591C4⋊C4×C61C2×D411yescharacteristic
592C4⋊C4×C61C2411yescharacteristic
593C4⋊C4×C61C2411yescharacteristic
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×C61C2×D411yescharacteristic
601C22⋊C4×C61C2×D411yescharacteristic
602C42×C61—21no—
603C42×C61—21no—
604C42×C61C2411yescharacteristic
605C22⋊Dic61—21no—
606C22⋊Dic61—21no—
607C22⋊Dic61—21no—
608C22⋊Dic61—21no—
609C22⋊Dic61—21no—
610C22⋊Dic61—21no—
611C22⋊Dic61—21no—
612C22⋊Dic61—21no—
613C22⋊Dic61C2×D411yescharacteristic
614C22⋊Dic61C2×D411yescharacteristic
615C22⋊Dic61C2×D411yescharacteristic
616C22⋊Dic61C2×D411yescharacteristic
617C22⋊Dic61C2×D411yescharacteristic
618C22⋊Dic61C2×D411yescharacteristic
619#11758202—22no—
620#11758201—22no—
621#11758201—22no—
622#11758201—41no—
623#11758201—41no—
624#11758200—41no—
625#11758200—41no—
626#11758199—41no—
627#11758199—41no—
628#11758199—41no—
629#11758199—41no—
630#11758199—41no—
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#11758198—21no—
646#11758198—21no—
647#11758198—21no—
648#11758198—21no—
649#11758198C2×D411yescharacteristic
650#11758198C2×D411yescharacteristic
651C4⋊Dic61—21no—
652C4⋊Dic61—21no—
653C4⋊Dic61—21no—
654C4⋊Dic61—21no—
655C4⋊Dic61—21no—
656C4⋊Dic61—21no—
657C4⋊Dic61—21no—
658C4⋊Dic61—21no—
659C4⋊Dic61—21no—
660C4⋊Dic61—21no—
661C4⋊Dic61C2×D411yescharacteristic
662C4⋊Dic61C2×D411yescharacteristic
663C4⋊Dic61C2×D411yescharacteristic
664C4⋊Dic61C2×D411yescharacteristic
665C4⋊Dic61C2×D411yescharacteristic
666C4⋊Dic61C2411yescharacteristic
667C4⋊Dic61C2411yescharacteristic
668C4⋊Dic61C2411yescharacteristic
669C4⋊Dic61C2411yescharacteristic
670#11758196—21no—
671#11758196—21no—
672#11758196—21no—
673#11758196—21no—
674#11758196—21no—
675#11758196—21no—
676#11758196—21no—
677#11758196—21no—
678#11758196—21no—
679#11758196—21no—
680#11758196C2×D411yescharacteristic
681#11758196C2×D411yescharacteristic
682#11758196C2×D411yescharacteristic
683#11758196C2×D411yescharacteristic
684C4×Dic61—21no—
685C4×Dic61—21no—
686C4×Dic61—21no—
687C4×Dic61—21no—
688C4×Dic61—21no—
689C4×Dic61—21no—
690C4×Dic61C2×D411yescharacteristic
691C4×Dic61C2×D411yescharacteristic
692C4×Dic61C2411yescharacteristic
693C4×Dic61C2411yescharacteristic
694C4×Dic61C2411yescharacteristic
695#11758194—41no—
696C2×#92418—41no—
697C2×#92418C2411yescharacteristic
698C2×#92418C2411yescharacteristic
699C2×#92418C2411yescharacteristic
700C2×#92418C2411yescharacteristic
701D488—41no—
702D488—41no—
703#11758190—41no—
704C8×D61—41no—
705C8×D61—41no—
706C23×C61—21no—
707C23×C61—21no—
708C23×C61—21no—
709C23×C61C22×D411yescharacteristic
710C23×C61C22×D411yescharacteristic
711C22×D61—21no—
712C22×D61—21no—
713C22×D61—21no—
714C22×D61—81no—
715C22×D61—81no—
716C22×D61—81no—
717C22×D61C22×D411yescharacteristic
718Q8×C61—21no—
719Q8×C61—21no—
720Q8×C61—21no—
721Q8×C61—21no—
722Q8×C61—21no—
723Q8×C61—81no—
724Q8×C61H(5,𝔽2)12yes—
725D4×C61—21no—
726D4×C61—21no—
727D4×C61—21no—
728D4×C61—21no—
729D4×C61—21no—
730D4×C61—21no—
731D4×C61—41no—
732D4×C61—42no—
733D4×C61—42no—
734D4×C61—42no—
735D4×C61—81no—
736D4×C61—81no—
737D4×C61—81no—
738D4×C61—81no—
739D4×C61—81no—
740C2×C4×C61—21no—
741C2×C4×C61—21no—
742C2×C4×C61—21no—
743C2×C4×C61—21no—
744C2×C4×C61—21no—
745C2×C4×C61—21no—
746C2×C4×C61—21no—
747C2×C4×C61—21no—
748C2×C4×C61—21no—
749C2×C4×C61—42no—
750C2×C4×C61—42no—
751C2×C4×C61—81no—
752C2×C4×C61—81no—
753C2×C4×C61C22×D411yescharacteristic
754C2×C4×C61C22×D411yescharacteristic
755C2×C4×C61C22×D411yescharacteristic
756C2×C4×C61C22×D411yescharacteristic
757C2×C4×C61C2511yescharacteristic
758C22⋊D61—41no—
759C22⋊D61—41no—
760C22⋊D61—81no—
761C22⋊D61—81no—
762C22⋊D61—81no—
763C22⋊D61—81no—
764C22⋊D61—81no—
765C22⋊D61—81no—
766C22⋊D61—81no—
767C22⋊D61—81no—
768C22⋊D61—81no—
769C22⋊D61—81no—
770C22⋊D61—81no—
771C22⋊D61—81no—
772C22⋊D61—81no—
773C22⋊D61—81no—
774C22⋊D61—81no—
775C2×Dic61—21no—
776C2×Dic61—21no—
777C2×Dic61—21no—
778C2×Dic61—21no—
779C2×Dic61—21no—
780C2×Dic61—81no—
781C2×Dic61—81no—
782C2×Dic61—81no—
783C2×Dic61—81no—
784C2×Dic61—81no—
785C2×Dic61—81no—
786C2×Dic61—81no—
787C2×Dic61—81no—
788C2×Dic61C22×D411yescharacteristic
789C2×Dic61C22×D411yescharacteristic
790C2×Dic61C22×D411yescharacteristic
791C2×Dic61C22×D411yescharacteristic
792C2×Dic61C22×D411yescharacteristic
793C2×Dic61C22×D411yescharacteristic
794C2×Dic61C22×D411yescharacteristic
795D244—21no—
796D244—21no—
797D244—21no—
798D244—21no—
799D244—21no—
800D244—21no—
801D244—42no—
802D244—81no—
803D244—81no—
804D244—81no—
805C4×D61—21no—
806C4×D61—21no—
807C4×D61—41no—
808C4×D61—41no—
809C4×D61—42no—
810C4×D61—42no—
811C4×D61—81no—
812C4×D61—81no—
813C4×D61—81no—
814C4×D61—81no—
815C4×D61—81no—
816Dic122—21no—
817Dic122—21no—
818Dic122—41no—
819Dic122—42no—
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#62014—611nomaximal, Sylow
829C22×C61—21no—
830C22×C61—21no—
831C22×C61—21no—
832C22×C61—21no—
833C22×C61—21no—
834C22×C61—21no—
835C22×C61—41no—
836C22×C61—41no—
837C22×C61—41no—
838C22×C61—41no—
839C22×C61—41no—
840C22×C61—41no—
841C22×C61—41no—
842C22×C61—41no—
843C22×C61—41no—
844C22×C61C23×D411yescharacteristic
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—
858C4×C61—21no—
859C4×C61—21no—
860C4×C61—22no—
861C4×C61—21no—
862C4×C61—21no—
863C4×C61—41no—
864C4×C61—41no—
865C4×C61—41no—
866C4×C61—41no—
867C4×C61C2×H(5,𝔽2)11yescharacteristic
868C4×C61#58511yescharacteristic
869Dic61—21no—
870Dic61—21no—
871Dic61—21no—
872Dic61—21no—
873Dic61—21no—
874Dic61—21no—
875Dic61—21no—
876Dic61—41no—
877Dic61—41no—
878Dic61—41no—
879Dic61—41no—
880Dic61—41no—
881#3562—611no—
882#3517—611no—
883#3399—611no—
884#3397—611no—
885#3377—611no—
886#3371—611no—
887#3309—611no—
888#3308—611no—
889#3307—611no—
890#3306—611no—
891#3301—611no—
892#3297—611no—
893#3287—611no—
894#3284—611no—
895#3271—611no—
896#3271D6111yescharacteristic, complemented
897#3268—611no—
898#3268—611no—
899#3260—611no—
900#3259—611no—
901#3247—611no—
902#3221—611no—
903#3220—611no—
904#3214—611no—
905#3120—611no—
906#3119—611no—
907#3111—611no—
908#3046—611no—
909#3045—611no—
910#3035—611no—
911#2992—611no—
912C2×C61—41no—
913C2×C61—41no—
914C2×C61—81no—
915C2×C61—81no—
916C2×C61—81no—
917C2×C61#348811yescharacteristic
918C2×C61#358411yescharacteristic
919C2×C61#358511yescharacteristic
920D61—41no—
921D61—81no—
922D61—81no—
923D61—81no—
924C2×#137C2×D6111yescharacteristic, complemented
925C2×AGL(1,ℤ/8)—611no—
926C2×#135—611no—
927C2×#135—611no—
928C2×#135—611no—
929C2×#135C2×D6111yescharacteristic
930#562—1221no—
931#560—1221no—
932#559—611no—
933#557—611no—
934#556—611no—
935#553—611no—
936#553—611no—
937#553—1221no—
938#553—1221no—
939#553—1221no—
940#551—1221no—
941#550—611no—
942#550—611no—
943#550—611no—
944#550—611no—
945#550—1221no—
946#550C2×D6111yescharacteristic
947#548—611no—
948#548C2×D6111yescharacteristic
949#547—611no—
950#547—611no—
951#547—1221no—
952#546—611no—
953#546—611no—
954#541—611no—
955#540—611no—
956#540—611no—
957#540—611no—
958#540—1221no—
959#540—1221no—
960#540—1221no—
961#539—1221no—
962#538—1221no—
963#538—1221no—
964#536—611no—
965#535—611no—
966#532—611no—
967#532—611no—
968#532—1221no—
969#529—611no—
970#529—611no—
971#529—1221no—
972#520—611no—
973#520—611no—
974C4×#41—611no—
975#496—611no—
976#496—611no—
977#496—611no—
978#496C2×D6111yescharacteristic, complemented
979#493—611no—
980#492—611no—
981#491—611no—
982#490—611no—
983#489—611no—
984#489—611no—
985#488—611no—
986#488—611no—
987#485—611no—
988#484—611no—
989#483—611no—
990#482—611no—
991#481—611no—
992#480—611no—
993#479—611no—
994#479—611no—
995#479—611no—
996#478—611no—
997#478—611no—
998#478—611no—
999#478—611no—
1000#478—611no—
1001#477—611no—
1002#476—611no—
1003#469—611no—
1004#469C2×D6111yescharacteristic, complemented
1005#468—611no—
1006#468—611no—
1007#466—611no—
1008#466—611no—
1009#466—611no—
1010#466—611no—
1011#465—611no—
1012#465—611no—
1013#465—611no—
1014#465C2×D6111yescharacteristic
1015#464—611no—
1016#464—611no—
1017#464—611no—
1018#464—611no—
1019#464C2×D6111yescharacteristic, complemented
1020#463—611no—
1021#463—611no—
1022#463—611no—
1023#463—611no—
1024#463—611no—
1025#463—611no—
1026#463—611no—
1027#462—611no—
1028#462—611no—
1029#461—611no—
1030#461—611no—
1031#461—611no—
1032#461—611no—
1033#460—611no—
1034#460—611no—
1035#460—611no—
1036#460—611no—
1037#460C2×D6111yescharacteristic, complemented
1038#459—611no—
1039#459—611no—
1040#459—611no—
1041#459—611no—
1042#459—611no—
1043#459—611no—
1044#459—611no—
1045#452—611no—
1046#452—611no—
1047#452C2×D6111yescharacteristic
1048#449—611no—
1049#449—611no—
1050#449—611no—
1051#449—611no—
1052#449—611no—
1053#449—611no—
1054#449—611no—
1055#449—611no—
1056#449—611no—
1057#449C2×D6111yescharacteristic
1058#449C2×D6111yescharacteristic, complemented
1059#448—611no—
1060#448C2×D6111yescharacteristic, complemented
1061#447—611no—
1062#447—611no—
1063#446—611no—
1064#446—611no—
1065#442—611no—
1066#442—611no—
1067#441—611no—
1068#441C2×D6111yescharacteristic, complemented
1069#440—611no—
1070#440—611no—
1071#440—611no—
1072#440—611no—
1073C4×Q16—611no—
1074C4×SD16—611no—
1075C4×SD16—611no—
1076C4×D8—611no—
1077#435—611no—
1078#435—611no—
1079#435—611no—
1080#435C2×D6111yescharacteristic
1081C8×D4—611no—
1082C8×D4—611no—
1083#433—611no—
1084#433—611no—
1085#432—611no—
1086#424—611no—
1087#424—611no—
1088C2×C4⋊C8—611no—
1089#417—611no—
1090#417—611no—
1091#416—611no—
1092#416—611no—
1093C2×#103—611no—
1094C2×#102—611no—
1095C61#6201411yescharacteristic, complemented, Sylow
1096C2×#41—611no—
1097C2×#41—611no—
1098C2×#41—611no—
1099C2×#41—611no—
1100C2×#41—1221no—
1101C2×#41—1221no—
1102C2×#41—1221no—
1103C2×#41C22×D6111yescharacteristic
1104C2×#41C22×D6111yescharacteristic
1105C2×#41C22×D6111yescharacteristic
1106C22×Q8C22×D6111yescharacteristic
1107C22×D4—611no—
1108#137—42no—
1109AGL(1,ℤ/8)—2442no—
1110#135—42no—
1111#135—2442no—
1112#135—2442no—
1113#135—2442no—
1114C2×Q16—611no—
1115C2×Q16C22×D6111yescharacteristic
1116C2×Q16C22×D6111yescharacteristic
1117C2×SD16—611no—
1118C2×SD16—611no—
1119C2×SD16—611no—
1120C2×SD16—611no—
1121C2×SD16—611no—
1122C2×SD16—611no—
1123C2×SD16—611no—
1124C2×SD16C22×D6111yescharacteristic
1125C2×SD16C22×D6111yescharacteristic
1126C2×SD16C22×D6111yescharacteristic
1127C2×SD16C22×D6111yescharacteristic
1128C2×SD16C22×D6111yescharacteristic
1129C2×D8—611no—
1130C2×D8—611no—
1131C2×D8—611no—
1132C2×D8—611no—
1133C2×D8—611no—
1134C2×D8—611no—
1135C2×D8—611no—
1136C2×D8C22×D6111yescharacteristic
1137C2×D8C22×D6111yescharacteristic
1138C2×M16—611no—
1139C2×M16C22×D6111yescharacteristic
1140C22×C8—611no—
1141C22×C8—611no—
1142C22×C8—611no—
1143C22×C8C22×D6111yescharacteristic
1144C4⋊Q8—611no—
1145C4⋊Q8—611no—
1146C4⋊Q8—611no—
1147C4⋊Q8—1221no—
1148#127—21no—
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—611no—
1158#126—611no—
1159#126—1221no—
1160#126—1221no—
1161#126—1221no—
1162#126—1221no—
1163#126—1221no—
1164#126—1221no—
1165#126—1221no—
1166#125—611no—
1167#125—611no—
1168#125—611no—
1169#125—611no—
1170#125—1221no—
1171#125—1221no—
1172#125—1221no—
1173#125—1221no—
1174#124—21no—
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#124C22×D6111yescharacteristic
1184#123—611no—
1185#123—611no—
1186#123—1221no—
1187#123—1221no—
1188#123—1221no—
1189#123—1221no—
1190#123—1221no—
1191#123—1221no—
1192#123—1221no—
1193#123—1221no—
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—1221no—
1210C22⋊Q8—1221no—
1211C22⋊Q8—1221no—
1212C22⋊Q8—1221no—
1213C22⋊Q8—1221no—
1214C22⋊Q8C22×D6111yescharacteristic
1215#121—21no—
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—611no—
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#121—1221no—
1249#121—1221no—
1250#121—1221no—
1251#121C22×D6111yescharacteristic
1252#121C22×D6111yescharacteristic
1253#121C22×D6111yescharacteristic
1254#120—1221no—
1255#120—1221no—
1256#120—1221no—
1257#120—1221no—
1258C4×Q8—611no—
1259C4×Q8—611no—
1260C4×Q8—611no—
1261C4×Q8—611no—
1262C4×Q8—611no—
1263C4×Q8—611no—
1264C4×Q8—1221no—
1265C4×Q8C22×D6111yescharacteristic
1266C4×Q8C22×D6111yescharacteristic
1267C4×D4—21no—
1268C4×D4—21no—
1269C4×D4—611no—
1270C4×D4—611no—
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—611no—
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×D4—1221no—
1295C4×D4—1221no—
1296C4×D4—1221no—
1297C4×D4C22×D6111yescharacteristic
1298#117—611no—
1299#117—611no—
1300#117—611no—
1301#117—1221no—
1302#117—1221no—
1303#117—1221no—
1304#117—1221no—
1305#117—1221no—
1306C2×C4⋊C4—611no—
1307C2×C4⋊C4—611no—
1308C2×C4⋊C4—1221no—
1309C2×C4⋊C4—1221no—
1310C2×C4⋊C4—1221no—
1311C2×C22⋊C4—1221no—
1312C2×C22⋊C4—1221no—
1313C2×C42—611no—
1314C2×C42—1221no—
1315#107—611no—
1316#107—611no—
1317#107—611no—
1318#107—611no—
1319#106—611no—
1320#106—611no—
1321#106—611no—
1322#106C22×D6111yescharacteristic
1323C4⋊C8—611no—
1324C4⋊C8—611no—
1325C4⋊C8—611no—
1326C4⋊C8—611no—
1327C4⋊C8—611no—
1328C4⋊C8—611no—
1329C4⋊C8—611no—
1330C4⋊C8—611no—
1331C4⋊C8—611no—
1332C4⋊C8C22×D6111yescharacteristic
1333#103—611no—
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#103C22×D6111yescharacteristic
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#102—611no—
1361#102—611no—
1362#102C22×D6111yescharacteristic
1363#102C22×D6111yescharacteristic
1364#102C22×D6111yescharacteristic
1365C22⋊C8—611no—
1366C22⋊C8—611no—
1367C22⋊C8—611no—
1368C22⋊C8—611no—
1369C22⋊C8C22×D6111yescharacteristic
1370C22⋊C8C22×D6111yescharacteristic
1371#97—611no—
1372#97—611no—
1373#97—611no—
1374#97C22×D6111yescharacteristic
1375C4×C8—611no—
1376C4×C8—611no—
1377C24—1221no—
1378#41—22no—
1379#41—22no—
1380#41—41no—
1381#41—41no—
1382#41—41no—
1383#41—41no—
1384#41—1222no—
1385#41—4882no—
1386#41—4882no—
1387#41—4882no—
1388#41—2441no—
1389#41—2441no—
1390#41—2441no—
1391#41—2441no—
1392#41—2441no—
1393#41—2441no—
1394#41—2441no—
1395C2×Q8—21no—
1396C2×Q8—41no—
1397C2×Q8—41no—
1398C2×Q8—611no—
1399C2×Q8—611no—
1400C2×Q8—1221no—
1401C2×Q8C23×D6111yescharacteristic
1402C2×Q8C23×D6111yescharacteristic
1403C2×Q8C23×D6111yescharacteristic
1404C2×D4—21no—
1405C2×D4—21no—
1406C2×D4—21no—
1407C2×D4—21no—
1408C2×D4—21no—
1409C2×D4—21no—
1410C2×D4—21no—
1411C2×D4—21no—
1412C2×D4—611no—
1413C2×D4—611no—
1414C2×D4—611no—
1415C2×D4—611no—
1416C2×D4—611no—
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—2441no—
1437C2×D4—2441no—
1438C2×D4D4×D6111yescharacteristic
1439C2×D4C23×D6111yescharacteristic
1440C2×D4C23×D6111yescharacteristic
1441C2×D4C23×D6111yescharacteristic
1442C22×C4—21no—
1443C22×C4—21no—
1444C22×C4—21no—
1445C22×C4—21no—
1446C22×C4—611no—
1447C22×C4—611no—
1448C22×C4—611no—
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—
1464C22×C4C23×D6111yescharacteristic
1465C22×C4C23×D6111yescharacteristic
1466Q16—22no—
1467Q16—22no—
1468Q16—1222no—
1469SD16—22no—
1470SD16—41no—
1471SD16—41no—
1472SD16—41no—
1473SD16—41no—
1474SD16—1222no—
1475SD16—1222no—
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—
1489D8—2441no—
1490M16—41no—
1491M16—2441no—
1492C2×C8—41no—
1493C2×C8—611no—
1494C2×C8—611no—
1495C2×C8—611no—
1496C2×C8—611no—
1497C2×C8—2441no—
1498C2×C8—2441no—
1499C2×C8—2441no—
1500C2×C8C23×D6111yescharacteristic
1501C2×C8C23×D6111yescharacteristic
1502C2×C8C23×D6111yescharacteristic
1503C2×C8C23×D6111yescharacteristic
1504C4⋊C4—21no—
1505C4⋊C4—21no—
1506C4⋊C4—21no—
1507C4⋊C4—611no—
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—611no—
1519C4⋊C4—611no—
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⋊C4—1221no—
1535C4⋊C4—1221no—
1536C4⋊C4—1221no—
1537C4⋊C4—1221no—
1538C4⋊C4—1221no—
1539C4⋊C4—1221no—
1540C4⋊C4D4×D6111yescharacteristic
1541C4⋊C4C23×D6111yescharacteristic
1542C4⋊C4C23×D6111yescharacteristic
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⋊C4—1221no—
1583C22⋊C4D4×D6111yescharacteristic
1584C22⋊C4D4×D6111yescharacteristic
1585C42—21no—
1586C42—21no—
1587C42—611no—
1588C42—611no—
1589C42—611no—
1590C42—611no—
1591C42—611no—
1592C42—1221no—
1593C42—1221no—
1594C42—1221no—
1595C42—1221no—
1596C42—1221no—
1597C42—1221no—
1598C42C23×D6111yescharacteristic
1599C23—21no—
1600C23—21no—
1601C23—21no—
1602C23—611no—
1603C23—1221no—
1604C23—1221no—
1605C23—1221no—
1606C23—4881no—
1607C23—4881no—
1608C23—4881no—
1609C23C2×D4×D6111yescharacteristic
1610C23C2×D4×D6111yescharacteristic
1611Q8—21no—
1612Q8—21no—
1613Q8—21no—
1614Q8—21no—
1615Q8—21no—
1616Q8—81no—
1617Q8—1221no—
1618Q8—1221no—
1619Q8—2441no—
1620Q8—2442no—
1621Q8#1451982212yes—
1622D4—21no—
1623D4—21no—
1624D4—21no—
1625D4—21no—
1626D4—21no—
1627D4—21no—
1628D4—41no—
1629D4—42no—
1630D4—42no—
1631D4—42no—
1632D4—81no—
1633D4—81no—
1634D4—81no—
1635D4—81no—
1636D4—81no—
1637D4—1221no—
1638D4—1221no—
1639D4—1221no—
1640D4—1221no—
1641D4—1221no—
1642D4—1221no—
1643D4—4881no—
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—2442no—
1662D4—2441no—
1663D4—2441no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—42no—
1674C2×C4—42no—
1675C2×C4—81no—
1676C2×C4—81no—
1677C2×C4—611no—
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—4881no—
1692C2×C4—4881no—
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—4881no—
1702C2×C4—4881no—
1703C2×C4—4881no—
1704C2×C4—2441no—
1705C2×C4—2441no—
1706C2×C4—2442no—
1707C2×C4—2442no—
1708C2×C4C2×D4×D6111yescharacteristic
1709C2×C4C2×D4×D6111yescharacteristic
1710C2×C4C2×D4×D6111yescharacteristic
1711C2×C4C2×D4×D6111yescharacteristic
1712C2×C4C24×D6111yescharacteristic
1713C8—21no—
1714C8—21no—
1715C8—21no—
1716C8—21no—
1717C8—1221no—
1718C8—1221no—
1719C8—1221no—
1720C8—1221no—
1721C22—21no—
1722C22—21no—
1723C22—21no—
1724C22—21no—
1725C22—21no—
1726C22—21no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—1221no—
1737C22—1221no—
1738C22—1221no—
1739C22—9762no—
1740C22—2441no—
1741C22—2441no—
1742C22—2441no—
1743C22—2441no—
1744C22—2441no—
1745C22—2441no—
1746C22—2441no—
1747C22—2441no—
1748C22—2441no—
1749C22C22×D4×D6111yescharacteristic
1750C4—21no—
1751C4—21no—
1752C4—22no—
1753C4—21no—
1754C4—21no—
1755C4—41no—
1756C4—41no—
1757C4—41no—
1758C4—41no—
1759C4—1221no—
1760C4—1221no—
1761C4—1221no—
1762C4—1221no—
1763C4—1221no—
1764C4—1221no—
1765C4—1221no—
1766C4—2441no—
1767C4—2441no—
1768C4—2441no—
1769C4—2441no—
1770C4—2441no—
1771C4C2×#1451982211yescharacteristic
1772C4#1684059711yescharacteristic
1773C2—41no—
1774C2—41no—
1775C2—81no—
1776C2—81no—
1777C2—81no—
1778C2—4881no—
1779C2—4881no—
1780C2—4881no—
1781C2—2441no—
1782C2#2145947911yescharacteristic
1783C2#2146059111yescharacteristic
1784C2#2146059611yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3271C2
socleC22×C61C23×D4
hypercenter#3271D61
hypocenterC61#62014
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3271

Complements

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

NH ≅ G/Ntype
1. #21460410C2semidirect
2. #21459820C2semidirect
3. #21458858C2semidirect
4. #21458834C2semidirect
5. #21458666C2semidirect
6. #21458584C2semidirect
7. #21457820C2semidirect
8. #21457810C2semidirect
9. #21457788C2semidirect
10. #21457782C2semidirect
11. #21457725C2semidirect
12. #21457675C2semidirect
13. #21457572C2semidirect
14. #21457543C2semidirect
15. #21457398C2semidirect
16. #21457362C2semidirect
17. #21457360C2semidirect
18. #21457259C2semidirect
19. #21457255C2semidirect
20. #21457143C2semidirect
21. #21456876C2semidirect
22. #21456867C2semidirect
23. #21456809C2semidirect
24. #21456026C2semidirect
25. #21456019C2semidirect
26. #21455934C2semidirect
27. #21455373C2semidirect
28. #21455356C2semidirect
29. #21455273C2semidirect
30. #21454954C2semidirect
31. C61×#3271C2semidirect
34. C2×#14519798C22semidirect
39. #16840491C22semidirect
44. #16840464C22semidirect
48. #16840432C22semidirect
50. #16840431C22semidirect
63. #16840365C22semidirect
72. #16840310C22semidirect
77. #16840245C22semidirect
78. C4×#11758226C22semidirect
83. #16840133C22semidirect
84. #16840129C22semidirect
87. #16840121C22semidirect
90. #16840101C22semidirect
95. #16840073C22semidirect
96. #16840072C22semidirect
97. #16840067C22semidirect
98. #16840067C22semidirect
99. #16840064C22semidirect
100. #16840064C22semidirect
101. #16840064C22semidirect
103. #16840061C22semidirect
104. #16840057C22semidirect
112. #16839996C22semidirect
114. #16839988C22semidirect
115. #16839988C22semidirect
126. #16839974C22semidirect
127. #16839970C22semidirect
128. #16839970C22semidirect
129. #16839966C22semidirect
130. #16839965C22semidirect
131. #16839965C22semidirect
132. #16839965C22semidirect
133. #16839961C22semidirect
136. #16839960C22semidirect
142. #16839955C22semidirect
145. #16839923C22semidirect
153. #16839904C22semidirect
154. #16839904C22semidirect
155. #16839901C22semidirect
158. #16839891C22semidirect
159. #16839890C22semidirect
161. #16839874C22semidirect
162. #16839869C22semidirect
165. #16839860C22semidirect
166. #16839859C22semidirect
167. #16839854C22semidirect
168. SD16×Dic61C22semidirect
169. SD16×Dic61C22semidirect
173. #16839831C22semidirect
175. #16839825C22semidirect
177. #16839820C22semidirect
178. #16839817C22semidirect
179. #16839790C22semidirect
181. C4⋊C8×D61C22semidirect
185. #16839755C22semidirect
186. C2×#14519701C22semidirect
188. C2×#137×C61C22semidirect
192. C61×#496C22semidirect
193. C61×#469C22semidirect
195. C61×#464C22semidirect
196. C61×#460C22semidirect
199. C61×#449C22semidirect
200. C61×#448C22semidirect
201. C61×#441C22semidirect
896. #3271D61semidirect
924. C2×#137C2×D61semidirect
978. #496C2×D61semidirect
1004. #469C2×D61semidirect
1019. #464C2×D61semidirect
1037. #460C2×D61semidirect
1058. #449C2×D61semidirect
1060. #448C2×D61semidirect
1068. #441C2×D61semidirect
1095. C61#62014semidirect

Maximal subgroups

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

subgroupindex
#214604102
#214598202
#214588582
#214588342
#214586662
#214585842
#214578202
#214578102
#214577882
#214577822
#214577252
#214576752
#214575722
#214575432
#214573982
#214573622
#214573602
#214572592
#214572552
#214571432
#214568762
#214568672
#214568092
#214560262
#214560192
#214559342
#214553732
#214553562
#214552732
#214549542
C61×#32712
#6201461