Finite Group Databasebeta

← #30566573

Subgroups — #30566573

Order 15616.

2100 conjugacy classes of subgroups.

The subgroup lattice has 1902 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21460112C211yesmaximal, characteristic, complemented
2#21458157C211yesmaximal, characteristic, complemented
3#21458087C211yesmaximal, characteristic, complemented
4#21458050C211yesmaximal, characteristic, complemented
5#21458020C211yesmaximal, characteristic, complemented
6#21457900C211yesmaximal, characteristic, complemented
7#21457885C211yesmaximal, characteristic, complemented
8#21457840C211yesmaximal, characteristic, complemented
9#21457825C211yesmaximal, characteristic, complemented
10#21457485C211yesmaximal, characteristic, complemented
11#21457472C211yesmaximal, characteristic, complemented
12#21457446C211yesmaximal, characteristic, complemented
13#21457415C211yesmaximal, characteristic, complemented
14#21457400C211yesmaximal, characteristic, complemented
15#21457375C211yesmaximal, characteristic, complemented
16#21457325C211yesmaximal, characteristic, complemented
17#21457310C211yesmaximal, characteristic, complemented
18#21456913C211yesmaximal, characteristic, complemented
19#21456891C211yesmaximal, characteristic, complemented
20#21456716C211yesmaximal, characteristic, complemented
21#21456695C211yesmaximal, characteristic, complemented
22#21456633C211yesmaximal, characteristic, complemented
23#21456625C211yesmaximal, characteristic, complemented
24#21456081C211yesmaximal, characteristic, complemented
25#21456033C211yesmaximal, characteristic, complemented
26#21455123C211yesmaximal, characteristic, complemented
27#21455096C211yesmaximal, characteristic, complemented
28#21455079C211yesmaximal, characteristic, complemented
29#21455061C211yesmaximal, characteristic, complemented
30#21454881C211yesmaximal, characteristic, complemented
31C61×#3488C211yesmaximal, characteristic, complemented
32C2×#14519808C2211yescharacteristic, complemented
33C2×#14519807C2211yescharacteristic, complemented
34C2×#14519807C2211yescharacteristic, complemented
35C2×#14519807C2211yescharacteristic, complemented
36C2×#14519803C2211yescharacteristic, complemented
37C2×#14519803C2211yescharacteristic, complemented
38C2×#14519797C2211yescharacteristic, complemented
39C22×#11758200C2211yescharacteristic, complemented
40#16840513—21no—
41#16840507—21no—
42#16840482C2211yescharacteristic, complemented
43#16840469C2211yescharacteristic, complemented
44#16840466—21no—
45#16840458C2211yescharacteristic, complemented
46#16840455—21no—
47#16840452C2211yescharacteristic, complemented
48D4×Dic122C2211yescharacteristic, complemented
49#16840421C2211yescharacteristic, complemented
50#16840421C2211yescharacteristic, complemented
51#16840417C2211yescharacteristic, complemented
52#16840383C2211yescharacteristic, complemented
53#16840380—21no—
54#16840374C2211yescharacteristic, complemented
55#16840355—21no—
56#16840347—21no—
57#16840347—21no—
58#16840340C2211yescharacteristic, complemented
59#16840333C2211yescharacteristic, complemented
60#16840273C2211yescharacteristic, complemented
61C2×#14519756C2211yescharacteristic, complemented
62#16840157C2211yescharacteristic, complemented
63#16840149C2211yescharacteristic, complemented
64#16840144C2211yescharacteristic, complemented
65#16840134C2211yescharacteristic, complemented
66#16840126C2211yescharacteristic, complemented
67#16840121C2211yescharacteristic, complemented
68#16840116C2211yescharacteristic, complemented
69#16840108C2211yescharacteristic, complemented
70#16840100C2211yescharacteristic, complemented
71#16840097C2211yescharacteristic, complemented
72#16840097C2211yescharacteristic, complemented
73#16840095C2211yescharacteristic, complemented
74#16840092C2211yescharacteristic, complemented
75#16840083C2211yescharacteristic, complemented
76#16840083C2211yescharacteristic, complemented
77#16840083C2211yescharacteristic, complemented
78#16840075C2211yescharacteristic, complemented
79#16840073C2211yescharacteristic, complemented
80#16840073C2211yescharacteristic, complemented
81#16840073C2211yescharacteristic, complemented
82#16840069C2211yescharacteristic, complemented
83#16840062C2211yescharacteristic, complemented
84#16840057C2211yescharacteristic, complemented
85#16840042C2211yescharacteristic, complemented
86#16840018C2211yescharacteristic, complemented
87#16840013C2211yescharacteristic, complemented
88#16840013C2211yescharacteristic, complemented
89#16840010C2211yescharacteristic, complemented
90#16840006C2211yescharacteristic, complemented
91#16840006C2211yescharacteristic, complemented
92#16840006C2211yescharacteristic, complemented
93#16840006C2211yescharacteristic, complemented
94#16840006C2211yescharacteristic, complemented
95#16840006C2211yescharacteristic, complemented
96#16840006C2211yescharacteristic, complemented
97#16840006C2211yescharacteristic, complemented
98#16840001C2211yescharacteristic, complemented
99#16840001C2211yescharacteristic, complemented
100#16839996C2211yescharacteristic, complemented
101#16839989C2211yescharacteristic, complemented
102#16839984C2211yescharacteristic, complemented
103#16839981C2211yescharacteristic, complemented
104#16839981C2211yescharacteristic, complemented
105#16839981C2211yescharacteristic, complemented
106#16839977C2211yescharacteristic, complemented
107#16839974C2211yescharacteristic, complemented
108#16839972C2211yescharacteristic, complemented
109#16839967C2211yescharacteristic, complemented
110#16839959C2211yescharacteristic, complemented
111#16839959C2211yescharacteristic, complemented
112#16839959C2211yescharacteristic, complemented
113#16839954C2211yescharacteristic, complemented
114#16839924C2211yescharacteristic
115#16839924C2211yescharacteristic
116#16839924C2211yescharacteristic
117#16839924C2211yescharacteristic, complemented
118#16839924C2211yescharacteristic, complemented
119#16839924C2211yescharacteristic, complemented
120#16839924C2211yescharacteristic, complemented
121#16839924C2211yescharacteristic, complemented
122#16839924C2211yescharacteristic, complemented
123#16839924C2211yescharacteristic, complemented
124#16839924C2211yescharacteristic, complemented
125#16839922C2211yescharacteristic, complemented
126#16839918C2211yescharacteristic, complemented
127#16839918C2211yescharacteristic, complemented
128#16839917C2211yescharacteristic, complemented
129#16839913C2211yescharacteristic, complemented
130#16839913C2211yescharacteristic, complemented
131#16839913C2211yescharacteristic, complemented
132#16839913C2211yescharacteristic, complemented
133#16839913C2211yescharacteristic, complemented
134#16839913C2211yescharacteristic, complemented
135#16839913C2211yescharacteristic, complemented
136#16839913C2211yescharacteristic, complemented
137#16839907C2211yescharacteristic
138#16839907C2211yescharacteristic, complemented
139#16839907C2211yescharacteristic, complemented
140#16839907C2211yescharacteristic, complemented
141#16839907C2211yescharacteristic, complemented
142#16839905C2211yescharacteristic, complemented
143#16839905C2211yescharacteristic, complemented
144#16839905C2211yescharacteristic, complemented
145#16839900C2211yescharacteristic, complemented
146#16839900C2211yescharacteristic, complemented
147#16839900C2211yescharacteristic, complemented
148#16839896C2211yescharacteristic, complemented
149#16839896C2211yescharacteristic, complemented
150#16839867C2211yescharacteristic, complemented
151#16839862C2211yescharacteristic, complemented
152#16839862C2211yescharacteristic, complemented
153#16839860C2211yescharacteristic, complemented
154C4×#11758202C2211yescharacteristic, complemented
155C4×#11758202C2211yescharacteristic, complemented
156C4×#11758200C2211yescharacteristic, complemented
157C4×#11758199C2211yescharacteristic, complemented
158#16839840C2211yescharacteristic, complemented
159#16839840C2211yescharacteristic, complemented
160#16839840C2211yescharacteristic, complemented
161#16839840C2211yescharacteristic, complemented
162#16839834C2211yescharacteristic, complemented
163#16839834C2211yescharacteristic, complemented
164#16839834C2211yescharacteristic, complemented
165#16839834C2211yescharacteristic, complemented
166#16839823C2211yescharacteristic, complemented
167#16839823C2211yescharacteristic, complemented
168#16839771C2211yescharacteristic, complemented
169#16839767C2211yescharacteristic, complemented
170#16839767C2211yescharacteristic, complemented
171#16839763C2211yescharacteristic, complemented
172#16839763C2211yescharacteristic, complemented
173#16839763C2211yescharacteristic, complemented
174#16839758C2211yescharacteristic, complemented
175C2×#14519698C2211yescharacteristic, complemented
176#16839729C2211yescharacteristic, complemented
177#16839729C2211yescharacteristic, complemented
178#16839726C2211yescharacteristic, complemented
179#16839726C2211yescharacteristic, complemented
180C2×H(5,𝔽2)×C61C2211yescharacteristic
181C22×#41×C61C2211yescharacteristic
182C61×#550C2211yescharacteristic
183C61×#550C2211yescharacteristic
184C61×#548C2211yescharacteristic
185C61×#548C2211yescharacteristic
186C61×#546—21no—
187C61×#546—21no—
188C61×#546C2211yescharacteristic
189C61×#546C2211yescharacteristic
190D42×C61—21no—
191D42×C61—21no—
192D42×C61C2211yescharacteristic
193D42×C61C2211yescharacteristic
194C61×#537—21no—
195C61×#537C2211yescharacteristic
196C61×#535—21no—
197C61×#535C2211yescharacteristic
198C61×#525—21no—
199C61×#525C2211yescharacteristic
200C2×#121×C61—21no—
201C2×#121×C61C2211yescharacteristic
202C61×#520C2211yescharacteristic
203C2×#11758222C2311yescharacteristic
204C2×#11758222C2311yescharacteristic
205C22×Dic122C2311yescharacteristic
206C22×Dic122C2311yescharacteristic
207#14519808—42no—
208#14519807—42no—
209#14519807—42no—
210#14519807—42no—
211#14519803—42no—
212#14519803—42no—
213#14519797—42no—
214C2×#11758202C2311yescharacteristic
215C2×#11758202C2311yescharacteristic
216C2×#11758202C2311yescharacteristic
217C2×#11758202C2311yescharacteristic
218C2×#11758202C2311yescharacteristic
219C2×#11758202C2311yescharacteristic
220C2×#11758200—42no—
221C2×#11758200C2311yescharacteristic
222C2×#11758200C2311yescharacteristic
223C2×#11758200C2311yescharacteristic
224C2×#11758200C2311yescharacteristic
225C2×#11758200C2311yescharacteristic
226C2×#11758200C2311yescharacteristic
227C2×#11758200C2311yescharacteristic
228C2×#11758200C2311yescharacteristic
229C2×#11758200C2311yescharacteristic
230C2×#11758200C2311yescharacteristic
231C2×#11758200C2311yescharacteristic
232C2×#11758200C2311yescharacteristic
233C2×#11758201C2311yescharacteristic
234C2×#11758201C2311yescharacteristic
235C2×#11758199C2311yescharacteristic
236C2×#11758199C2311yescharacteristic
237C2×#11758199C2311yescharacteristic
238C2×#11758199C2311yescharacteristic
239C2×#11758194C2311yescharacteristic
240C2×#11758194C2311yescharacteristic
241C2×#11758194C2311yescharacteristic
242C2×#11758194C2311yescharacteristic
243C2×#11758194C2311yescharacteristic
244C2×#11758194C2311yescharacteristic
245C22×#92418C2311yescharacteristic
246C22×#92418C2311yescharacteristic
247#14519777C2311yescharacteristic
248#14519777C2311yescharacteristic
249#14519776—21no—
250#14519775—21no—
251#14519772—21no—
252#14519772—21no—
253#14519770—21no—
254#14519770—21no—
255#14519770—21no—
256#14519770—21no—
257#14519770—21no—
258#14519769C2311yescharacteristic
259#14519768—21no—
260#14519767—21no—
261#14519767—21no—
262#14519767—21no—
263#14519765C2311yescharacteristic
264#14519764—21no—
265#14519764—21no—
266#14519763—21no—
267#14519763—21no—
268#14519763—21no—
269#14519760—21no—
270#14519759—21no—
271#14519759—21no—
272#14519759—21no—
273#14519759—21no—
274#14519758—21no—
275#14519758—21no—
276#14519758—21no—
277#14519756—21no—
278#14519756—21no—
279#14519756C2311yescharacteristic
280#14519756C2311yescharacteristic
281#14519756C2311yescharacteristic
282#14519756C2311yescharacteristic
283#14519756C2311yescharacteristic
284#14519756C2311yescharacteristic
285#14519756C2311yescharacteristic
286#14519756C2311yescharacteristic
287#14519756C2311yescharacteristic
288#14519755—21no—
289#14519755—21no—
290#14519755—21no—
291#14519754—21no—
292#14519754—21no—
293#14519754—21no—
294#14519754—21no—
295#14519753—21no—
296#14519751C2311yescharacteristic
297#14519751C2311yescharacteristic
298#14519751C2311yescharacteristic
299#14519749—21no—
300#14519749—21no—
301#14519749—21no—
302#14519749—21no—
303#14519749—21no—
304#14519748—21no—
305#14519748—21no—
306#14519746—21no—
307C4×Dic122C2311yescharacteristic
308C4×Dic122C2311yescharacteristic
309C4×Dic122C2311yescharacteristic
310#14519742—21no—
311C4×D244C2311yescharacteristic
312D4×Dic61—21no—
313D4×Dic61—21no—
314C4×C22⋊D61—21no—
315C4×C22⋊D61—21no—
316#14519737—21no—
317#14519737—21no—
318#14519737—21no—
319#14519736C2311yescharacteristic
320#14519736C2311yescharacteristic
321#14519733—21no—
322C2×C4⋊Dic61C2311yescharacteristic
323C2×C4⋊Dic61C2311yescharacteristic
324C2×#11758196—21no—
325C4⋊C4×D61—21no—
326C2×C22⋊Dic61—21no—
327#14519710C2311yescharacteristic
328#14519710C2311yescharacteristic
329#14519710C2311yescharacteristic
330#14519710C2311yescharacteristic
331#14519710C2311yescharacteristic
332#14519710C2311yescharacteristic
333#14519708C2311yescharacteristic
334#14519708C2311yescharacteristic
335C4⋊#92418C2311yescharacteristic
336C4⋊#92418C2311yescharacteristic
337C4⋊#92418C2311yescharacteristic
338C4⋊#92418C2311yescharacteristic
339#14519701C2311yescharacteristic
340#14519701C2311yescharacteristic
341#14519701C2311yescharacteristic
342#14519701C2311yescharacteristic
343#14519701C2311yescharacteristic
344#14519701C2311yescharacteristic
345#14519701C2311yescharacteristic
346#14519701C2311yescharacteristic
347#14519700C2311yescharacteristic
348#14519700C2311yescharacteristic
349#14519700C2311yescharacteristic
350#14519700C2311yescharacteristic
351#14519700C2311yescharacteristic
352#14519700C2311yescharacteristic
353#14519698C2311yescharacteristic
354#14519698C2311yescharacteristic
355#14519698C2311yescharacteristic
356#14519698C2311yescharacteristic
357#14519698C2311yescharacteristic
358#14519698C2311yescharacteristic
359#14519698C2311yescharacteristic
360#14519698C2311yescharacteristic
361#14519698C2311yescharacteristic
362#14519698C2311yescharacteristic
363#14519698C2311yescharacteristic
364#14519698C2311yescharacteristic
365#14519698C2311yescharacteristic
366#14519698C2311yescharacteristic
367#14519698C2311yescharacteristic
368#14519698C2311yescharacteristic
369#14519697C2311yescharacteristic
370#14519697C2311yescharacteristic
371C22⋊#92418C2311yescharacteristic
372C22⋊#92418C2311yescharacteristic
373C22⋊#92418C2311yescharacteristic
374C22⋊#92418C2311yescharacteristic
375C22⋊#92418C2311yescharacteristic
376C22⋊#92418C2311yescharacteristic
377C22⋊#92418C2311yescharacteristic
378C22⋊#92418C2311yescharacteristic
379C22⋊#92418C2311yescharacteristic
380C22⋊#92418C2311yescharacteristic
381C22⋊#92418C2311yescharacteristic
382C22⋊#92418C2311yescharacteristic
383#14519688C2311yescharacteristic
384#14519688C2311yescharacteristic
385C4×#92418C2311yescharacteristic
386C4×#92418C2311yescharacteristic
387H(5,𝔽2)×C61—42no—
388H(5,𝔽2)×C61—42no—
389C2×#41×C61—21no—
390C2×#41×C61—21no—
391C2×#41×C61—21no—
392C2×#41×C61—42no—
393C2×#41×C61—42no—
394C2×#41×C61C2311yescharacteristic
395C2×#41×C61C2311yescharacteristic
396C2×#41×C61C2311yescharacteristic
397C2×#41×C61C2311yescharacteristic
398C2×#41×C61C2311yescharacteristic
399C2×#41×C61C2311yescharacteristic
400C2×#41×C61C2311yescharacteristic
401C22×Q8×C61C2311yescharacteristic
402C22×D4×C61—21no—
403C22×D4×C61—21no—
404C22×D4×C61—21no—
405C22×D4×C61—21no—
406C22×D4×C61—21no—
407C22×D4×C61—21no—
408C22×D4×C61—21no—
409C22×D4×C61C2311yescharacteristic
410C22×D4×C61C2311yescharacteristic
411C22×D4×C61C2311yescharacteristic
412C22×D4×C61C2311yescharacteristic
413C23×C4×C61—21no—
414C23×C4×C61C2311yescharacteristic
415#127×C61—21no—
416#127×C61—21no—
417#127×C61C2311yescharacteristic
418#127×C61C2311yescharacteristic
419#124×C61—21no—
420#124×C61—21no—
421#124×C61C2311yescharacteristic
422#124×C61C2311yescharacteristic
423#123×C61—21no—
424#123×C61—21no—
425#123×C61D411yescharacteristic
426#123×C61D411yescharacteristic
427C22⋊Q8×C61—21no—
428C22⋊Q8×C61—21no—
429C22⋊Q8×C61—21no—
430C22⋊Q8×C61D411yescharacteristic
431C22⋊Q8×C61D411yescharacteristic
432C22⋊Q8×C61C2311yescharacteristic
433C22⋊Q8×C61C2311yescharacteristic
434#121×C61—21no—
435#121×C61—21no—
436#121×C61—21no—
437#121×C61—21no—
438#121×C61—21no—
439#121×C61—21no—
440#121×C61—21no—
441#121×C61—21no—
442#121×C61—21no—
443#121×C61—21no—
444#121×C61—21no—
445#121×C61—21no—
446#121×C61—21no—
447#121×C61—21no—
448#121×C61—21no—
449#121×C61—21no—
450#121×C61—21no—
451#121×C61D411yescharacteristic
452#121×C61D411yescharacteristic
453#121×C61C2311yescharacteristic
454#121×C61C2311yescharacteristic
455#121×C61C2311yescharacteristic
456#121×C61C2311yescharacteristic
457#121×C61C2311yescharacteristic
458#121×C61C2311yescharacteristic
459#120×C61—21no—
460#120×C61—21no—
461#120×C61—21no—
462#120×C61—21no—
463#120×C61—21no—
464#120×C61—21no—
465#120×C61—21no—
466#120×C61—21no—
467#120×C61D411yescharacteristic
468#120×C61D411yescharacteristic
469C4×Q8×C61C2311yescharacteristic
470C4×Q8×C61C2311yescharacteristic
471C4×D4×C61—21no—
472C4×D4×C61—21no—
473C4×D4×C61—21no—
474C4×D4×C61—21no—
475C4×D4×C61—21no—
476C4×D4×C61—21no—
477C4×D4×C61C2311yescharacteristic
478C4×D4×C61C2311yescharacteristic
479C4×D4×C61C2311yescharacteristic
480C4×D4×C61C2311yescharacteristic
481C4×D4×C61C2311yescharacteristic
482C4×D4×C61C2311yescharacteristic
483#117×C61—21no—
484#117×C61C2311yescharacteristic
485C2×C4⋊C4×C61—21no—
486C2×C4⋊C4×C61C2311yescharacteristic
487C2×C22⋊C4×C61—21no—
488C2×C22⋊C4×C61—21no—
489C2×C22⋊C4×C61—21no—
490C24×C61—21no—
491C24×C61—21no—
492C24×C61—21no—
493C24×C61—21no—
494C24×C61C2×D411yescharacteristic
495#41×C61—22no—
496#41×C61—22no—
497#41×C61—22no—
498#41×C61—22no—
499#41×C61—22no—
500#41×C61—22no—
501#41×C61—41no—
502#41×C61—41no—
503#41×C61—41no—
504#41×C61—41no—
505#41×C61—41no—
506#41×C61—41no—
507#41×C61—41no—
508#41×C61—41no—
509#41×C61—44no—
510#41×C61—44no—
511#41×C61—44no—
512C2×Q8×C61—21no—
513C2×Q8×C61—22no—
514C2×Q8×C61—41no—
515C2×Q8×C61C2×D411yescharacteristic
516C2×Q8×C61C2411yescharacteristic
517C2×Q8×C61C2411yescharacteristic
518C2×D4×C61—21no—
519C2×D4×C61—22no—
520C2×D4×C61—22no—
521C2×D4×C61—22no—
522C2×D4×C61—21no—
523C2×D4×C61—21no—
524C2×D4×C61—21no—
525C2×D4×C61—21no—
526C2×D4×C61—21no—
527C2×D4×C61—21no—
528C2×D4×C61—21no—
529C2×D4×C61—21no—
530C2×D4×C61—21no—
531C2×D4×C61—21no—
532C2×D4×C61—21no—
533C2×D4×C61—21no—
534C2×D4×C61—21no—
535C2×D4×C61—21no—
536C2×D4×C61—21no—
537C2×D4×C61—21no—
538C2×D4×C61—21no—
539C2×D4×C61—21no—
540C2×D4×C61—21no—
541C2×D4×C61—41no—
542C2×D4×C61—41no—
543C2×D4×C61—41no—
544C2×D4×C61—41no—
545C2×D4×C61—41no—
546C2×D4×C61—44no—
547C2×D4×C61—44no—
548C2×D4×C61—44no—
549C2×D4×C61—44no—
550C2×D4×C61—82no—
551C2×D4×C61—82no—
552C2×D4×C61—82no—
553C2×D4×C61C2×D411yescharacteristic
554C2×D4×C61C2×D411yescharacteristic
555C2×D4×C61C2×D411yescharacteristic
556C2×D4×C61C2×D411yescharacteristic
557C2×D4×C61C2×D411yescharacteristic
558C2×D4×C61C2×D411yescharacteristic
559C2×D4×C61C2×D411yescharacteristic
560C2×D4×C61C2411yescharacteristic
561C2×D4×C61C2411yescharacteristic
562C2×D4×C61C2411yescharacteristic
563C2×D4×C61C2411yescharacteristic
564C22×C4×C61—21no—
565C22×C4×C61—21no—
566C22×C4×C61—21no—
567C22×C4×C61—21no—
568C22×C4×C61—21no—
569C22×C4×C61—21no—
570C22×C4×C61—21no—
571C22×C4×C61—21no—
572C22×C4×C61—21no—
573C22×C4×C61—21no—
574C22×C4×C61—41no—
575C22×C4×C61—41no—
576C22×C4×C61—44no—
577C22×C4×C61C2×D411yescharacteristic
578C22×C4×C61C2×D411yescharacteristic
579C22×C4×C61C2×D411yescharacteristic
580C22×C4×C61C2411yescharacteristic
581C22×C4×C61C2411yescharacteristic
582C22×C4×C61C2411yescharacteristic
583C22×C4×C61C2411yescharacteristic
584C22×C4×C61C2411yescharacteristic
585C2×C22⋊D61—21no—
586C2×C22⋊D61—21no—
587C2×C22⋊D61—21no—
588C2×C22⋊D61—21no—
589C2×C22⋊D61—21no—
590C22×Dic61—21no—
591C22×Dic61—21no—
592C22×Dic61—21no—
593C22×Dic61—21no—
594#11758222—41no—
595#11758222—41no—
596#11758222—41no—
597#11758222—41no—
598C2×D244C2411yescharacteristic
599C2×C4×D61—21no—
600C2×C4×D61—21no—
601C2×C4×D61—21no—
602C2×Dic122—21no—
603C2×Dic122—21no—
604C2×Dic122—21no—
605C2×Dic122—41no—
606C2×Dic122—41no—
607C2×Dic122—41no—
608C2×Dic122—41no—
609C2×Dic122C2411yescharacteristic
610C2×Dic122C2411yescharacteristic
611C2×Dic122C2411yescharacteristic
612C4⋊C4×C61—21no—
613C4⋊C4×C61—21no—
614C4⋊C4×C61—21no—
615C4⋊C4×C61—21no—
616C4⋊C4×C61—21no—
617C4⋊C4×C61C2×D411yescharacteristic
618C4⋊C4×C61C2×D411yescharacteristic
619C4⋊C4×C61C2×D411yescharacteristic
620C4⋊C4×C61C2×D411yescharacteristic
621C4⋊C4×C61C2×D411yescharacteristic
622C4⋊C4×C61C2×D411yescharacteristic
623C4⋊C4×C61C2411yescharacteristic
624C4⋊C4×C61C2411yescharacteristic
625C22⋊C4×C61—21no—
626C22⋊C4×C61—21no—
627C22⋊C4×C61—21no—
628C22⋊C4×C61—21no—
629C22⋊C4×C61—21no—
630C22⋊C4×C61—21no—
631C22⋊C4×C61—21no—
632C22⋊C4×C61—21no—
633C22⋊C4×C61—21no—
634C22⋊C4×C61—21no—
635C22⋊C4×C61—21no—
636C22⋊C4×C61—21no—
637C22⋊C4×C61—21no—
638C22⋊C4×C61—21no—
639C22⋊C4×C61C2×D411yescharacteristic
640C22⋊C4×C61C2×D411yescharacteristic
641C22⋊C4×C61C2×D411yescharacteristic
642C22⋊C4×C61C2×D411yescharacteristic
643C22⋊C4×C61C2×D411yescharacteristic
644C22⋊C4×C61C2×D411yescharacteristic
645C22⋊C4×C61C2×D411yescharacteristic
646C22⋊C4×C61C2×D411yescharacteristic
647C22⋊C4×C61C2×D411yescharacteristic
648C22⋊C4×C61C2×D411yescharacteristic
649C42×C61—21no—
650C42×C61—21no—
651C42×C61C2411yescharacteristic
652C42×C61C2411yescharacteristic
653C22⋊Dic61—21no—
654C22⋊Dic61—21no—
655C22⋊Dic61—21no—
656C22⋊Dic61—21no—
657C22⋊Dic61—21no—
658C22⋊Dic61—21no—
659C22⋊Dic61—21no—
660C22⋊Dic61—21no—
661C22⋊Dic61—21no—
662C22⋊Dic61—21no—
663C22⋊Dic61—21no—
664#11758202—22no—
665#11758202—22no—
666#11758202—22no—
667#11758202—41no—
668#11758202—41no—
669#11758202—41no—
670#11758201—22no—
671#11758201—41no—
672#11758200—22no—
673#11758200—22no—
674#11758200—22no—
675#11758200—41no—
676#11758200—41no—
677#11758200—41no—
678#11758200—41no—
679#11758200—41no—
680#11758200—41no—
681#11758200—41no—
682#11758200—41no—
683#11758200—41no—
684#11758199—22no—
685#11758199—41no—
686#11758199—41no—
687#11758199—41no—
688#11758198—21no—
689#11758198—21no—
690#11758198—21no—
691#11758198—21no—
692#11758198—21no—
693#11758198—21no—
694C4⋊Dic61—21no—
695C4⋊Dic61—21no—
696C4⋊Dic61—21no—
697C4⋊Dic61—21no—
698C4⋊Dic61—21no—
699C4⋊Dic61C2411yescharacteristic
700C4⋊Dic61C2411yescharacteristic
701C4⋊Dic61C2411yescharacteristic
702C4⋊Dic61C2411yescharacteristic
703#11758196—21no—
704#11758196—21no—
705#11758196—21no—
706#11758196—21no—
707#11758196—21no—
708#11758196—21no—
709#11758196—21no—
710#11758196—21no—
711#11758196—21no—
712#11758196—21no—
713#11758196—21no—
714#11758196—21no—
715#11758196—21no—
716#11758196—21no—
717C4×Dic61—21no—
718C4×Dic61—21no—
719C4×Dic61—21no—
720C4×Dic61—21no—
721C4×Dic61—21no—
722#11758194—41no—
723#11758194—41no—
724#11758194—41no—
725#11758194—41no—
726#11758194—41no—
727#11758194—41no—
728C2×#92418—41no—
729C2×#92418—41no—
730C2×#92418C2411yescharacteristic
731C2×#92418C2411yescharacteristic
732C2×#92418C2411yescharacteristic
733C2×#92418C2411yescharacteristic
734C2×#92418C2411yescharacteristic
735C2×#92418C2411yescharacteristic
736C2×#92418C2411yescharacteristic
737C2×#92418C2411yescharacteristic
738C23×C61—21no—
739C23×C61—21no—
740C23×C61—21no—
741C23×C61—21no—
742C23×C61—41no—
743C23×C61—41no—
744C23×C61—41no—
745C23×C61—42no—
746C23×C61—42no—
747C23×C61—42no—
748C23×C61—42no—
749C23×C61—42no—
750C23×C61—81no—
751C23×C61—81no—
752C23×C61—81no—
753C23×C61—81no—
754C23×C61—81no—
755C23×C61—81no—
756C23×C61—81no—
757C23×C61C22×D411yescharacteristic
758C23×C61C22×D411yescharacteristic
759C23×C61C22×D411yescharacteristic
760C23×C61C22×D411yescharacteristic
761C23×C61C22×D411yescharacteristic
762C22×D61—21no—
763Q8×C61—21no—
764Q8×C61—21no—
765Q8×C61—21no—
766Q8×C61—41no—
767Q8×C61—42no—
768Q8×C61H(5,𝔽2)12yes—
769D4×C61—24no—
770D4×C61—21no—
771D4×C61—21no—
772D4×C61—21no—
773D4×C61—21no—
774D4×C61—21no—
775D4×C61—21no—
776D4×C61—21no—
777D4×C61—41no—
778D4×C61—41no—
779D4×C61—41no—
780D4×C61—41no—
781D4×C61—41no—
782D4×C61—41no—
783D4×C61—41no—
784D4×C61—42no—
785D4×C61—42no—
786D4×C61—42no—
787D4×C61—42no—
788D4×C61—42no—
789D4×C61—42no—
790D4×C61—42no—
791D4×C61—42no—
792D4×C61—42no—
793D4×C61—42no—
794D4×C61—42no—
795D4×C61—81no—
796D4×C61—81no—
797D4×C61—81no—
798D4×C61—81no—
799D4×C61—81no—
800D4×C61—81no—
801D4×C61—81no—
802D4×C61—81no—
803D4×C61H(5,𝔽2)12yes—
804C2×C4×C61—24no—
805C2×C4×C61—21no—
806C2×C4×C61—21no—
807C2×C4×C61—21no—
808C2×C4×C61—21no—
809C2×C4×C61—21no—
810C2×C4×C61—21no—
811C2×C4×C61—21no—
812C2×C4×C61—21no—
813C2×C4×C61—21no—
814C2×C4×C61—21no—
815C2×C4×C61—21no—
816C2×C4×C61—21no—
817C2×C4×C61—21no—
818C2×C4×C61—21no—
819C2×C4×C61—41no—
820C2×C4×C61—41no—
821C2×C4×C61—41no—
822C2×C4×C61—42no—
823C2×C4×C61—42no—
824C2×C4×C61—42no—
825C2×C4×C61—42no—
826C2×C4×C61—42no—
827C2×C4×C61—42no—
828C2×C4×C61—81no—
829C2×C4×C61—81no—
830C2×C4×C61—81no—
831C2×C4×C61C22×D411yescharacteristic
832C2×C4×C61C22×D411yescharacteristic
833C2×C4×C61C22×D411yescharacteristic
834C2×C4×C61C22×D411yescharacteristic
835C2×C4×C61C22×D411yescharacteristic
836C2×C4×C61C22×D411yescharacteristic
837C2×C4×C61C22×D411yescharacteristic
838C2×C4×C61C22×D411yescharacteristic
839C2×C4×C61C22×D411yescharacteristic
840C2×C4×C61C2511yescharacteristic
841C22⋊D61—42no—
842C22⋊D61—81no—
843C22⋊D61—81no—
844C22⋊D61—81no—
845C22⋊D61—81no—
846C2×Dic61—21no—
847C2×Dic61—21no—
848C2×Dic61—21no—
849C2×Dic61—21no—
850C2×Dic61—21no—
851C2×Dic61—21no—
852C2×Dic61—21no—
853C2×Dic61—81no—
854C2×Dic61—81no—
855C2×Dic61—81no—
856C2×Dic61—81no—
857D244—21no—
858D244—21no—
859C4×D61—81no—
860C4×D61—81no—
861C4×D61—81no—
862Dic122—21no—
863Dic122—21no—
864Dic122—21no—
865Dic122—21no—
866Dic122—21no—
867Dic122—21no—
868Dic122—81no—
869Dic122—81no—
870Dic122—81no—
871#92418—21no—
872#92418—21no—
873#92418—21no—
874#92418—21no—
875#92418—21no—
876#92418—21no—
877#92418—21no—
878#92418—21no—
879#61654—611nomaximal, Sylow
880C22×C61—21no—
881C22×C61—21no—
882C22×C61—21no—
883C22×C61—21no—
884C22×C61—21no—
885C22×C61—21no—
886C22×C61—21no—
887C22×C61—21no—
888C22×C61—21no—
889C22×C61—21no—
890C22×C61—21no—
891C22×C61—21no—
892C22×C61—21no—
893C22×C61—21no—
894C22×C61—21no—
895C22×C61—22no—
896C22×C61—41no—
897C22×C61—41no—
898C22×C61—41no—
899C22×C61—41no—
900C22×C61—41no—
901C22×C61—41no—
902C22×C61—41no—
903C22×C61—41no—
904C22×C61—41no—
905C22×C61—41no—
906C22×C61—41no—
907C22×C61—82no—
908C22×C61—84no—
909C22×C61—162no—
910C22×C61—162no—
911C22×C61—162no—
912C22×C61C23×D411yescharacteristic
913C2×D61—41no—
914C2×D61—41no—
915C2×D61—41no—
916C4×C61—21no—
917C4×C61—21no—
918C4×C61—21no—
919C4×C61—21no—
920C4×C61—21no—
921C4×C61—21no—
922C4×C61—21no—
923C4×C61—21no—
924C4×C61—21no—
925C4×C61—22no—
926C4×C61—41no—
927C4×C61—41no—
928C4×C61—41no—
929C4×C61C2×H(5,𝔽2)11yescharacteristic
930C4×C61C2×H(5,𝔽2)11yescharacteristic
931Dic61—41no—
932Dic61—41no—
933Dic61—41no—
934Dic61—41no—
935Dic61—41no—
936Dic61—41no—
937Dic61—41no—
938#3541—611no—
939#3488D6111yescharacteristic, complemented
940#3333—611no—
941#3327—611no—
942#3324—611no—
943#3322—611no—
944#3314—611no—
945#3313—611no—
946#3310—611no—
947#3309—611no—
948#3278—611no—
949#3277—611no—
950#3275—611no—
951#3272—611no—
952#3271—611no—
953#3269—611no—
954#3266—611no—
955#3265—611no—
956#3224—611no—
957#3222—611no—
958#3203—611no—
959#3201—611no—
960#3194—611no—
961#3193—611no—
962#3124—611no—
963#3120—611no—
964#3012—611no—
965#3009—611no—
966#3007—611no—
967#3005—611no—
968#2978—611no—
969C2×C61—41no—
970C2×C61—41no—
971C2×C61—41no—
972C2×C61—41no—
973C2×C61—41no—
974C2×C61—42no—
975C2×C61—81no—
976C2×C61—81no—
977C2×C61—81no—
978C2×C61#348411yescharacteristic
979C2×C61#358511yescharacteristic
980C2×C61#358611yescharacteristic
981D61—81no—
982C2×H(5,𝔽2)C2×D6111yescharacteristic
983C22×#41C2×D6111yescharacteristic
984C2×#137—611no—
985C2×#137—611no—
986C2×#137—611no—
987C2×#137—611no—
988C2×AGL(1,ℤ/8)—611no—
989C2×AGL(1,ℤ/8)—611no—
990C2×#135—611no—
991C22×SD16—611no—
992#563—1221no—
993#562—1221no—
994#556—611no—
995#554—611no—
996#554—1221no—
997#553—611no—
998#553—1221no—
999#552—611no—
1000#550C2×D6111yescharacteristic
1001#550C2×D6111yescharacteristic
1002D4×Q8—611no—
1003#548—611no—
1004#548—611no—
1005#548C2×D6111yescharacteristic
1006#548C2×D6111yescharacteristic
1007#547—611no—
1008#546—21no—
1009#546—21no—
1010#546C2×D6111yescharacteristic
1011#546C2×D6111yescharacteristic
1012D42—21no—
1013D42—21no—
1014D42C2×D6111yescharacteristic
1015D42C2×D6111yescharacteristic
1016#542—611no—
1017#542—1221no—
1018#541—611no—
1019#539—1221no—
1020#538—1221no—
1021#538—1221no—
1022#537—21no—
1023#537—611no—
1024#537C2×D6111yescharacteristic
1025#536—611no—
1026#535—21no—
1027#535C2×D6111yescharacteristic
1028#525—21no—
1029#525—611no—
1030#525C2×D6111yescharacteristic
1031C2×C22⋊Q8—611no—
1032C2×#121—21no—
1033C2×#121C2×D6111yescharacteristic
1034#520C2×D6111yescharacteristic
1035#497—611no—
1036#496—611no—
1037#495—611no—
1038#492—611no—
1039#490—611no—
1040#489—611no—
1041#488—611no—
1042#486—611no—
1043#485—611no—
1044#484—611no—
1045#484—611no—
1046#484—611no—
1047#483—611no—
1048#482—611no—
1049#482—611no—
1050#482—611no—
1051#480—611no—
1052#480—611no—
1053#480—611no—
1054#480—611no—
1055#479—611no—
1056#478—611no—
1057#477—611no—
1058#474—611no—
1059#470—611no—
1060#469—611no—
1061#469—611no—
1062#468—611no—
1063#468—611no—
1064#468—611no—
1065#468—611no—
1066#468—611no—
1067#468—611no—
1068#468—611no—
1069#468—611no—
1070#468—611no—
1071#467—611no—
1072#467—611no—
1073#466—611no—
1074#465—611no—
1075#464—611no—
1076#464—611no—
1077#464—611no—
1078#464—611no—
1079#463—611no—
1080#463—611no—
1081#462—611no—
1082#461—611no—
1083#460—611no—
1084#460—611no—
1085#460—611no—
1086#459—611no—
1087#452—611no—
1088#452—611no—
1089#452—611no—
1090#452—611no—
1091#452—611no—
1092#452—611no—
1093#452—611no—
1094#452—611no—
1095#452—611no—
1096#452—611no—
1097#452—611no—
1098#452—611no—
1099#451—611no—
1100#451—611no—
1101#451—611no—
1102#450—611no—
1103#450—611no—
1104#450—611no—
1105#450—611no—
1106#450—611no—
1107#450—611no—
1108#450—611no—
1109#450—611no—
1110#449—611no—
1111#449—611no—
1112#449—611no—
1113#449—611no—
1114#449—611no—
1115#449—611no—
1116#449—611no—
1117#449—611no—
1118#448—611no—
1119#448—611no—
1120#448—611no—
1121#447—611no—
1122#447—611no—
1123#441—611no—
1124#440—611no—
1125#440—611no—
1126#440—611no—
1127C4×Q16—611no—
1128C4×Q16—611no—
1129C4×SD16—611no—
1130C4×D8—611no—
1131#436—611no—
1132#436—611no—
1133#436—611no—
1134#436—611no—
1135#435—611no—
1136#435—611no—
1137#435—611no—
1138#435—611no—
1139#433—611no—
1140#433—611no—
1141#419—611no—
1142#418—611no—
1143#418—611no—
1144#417—611no—
1145#417—611no—
1146#417—611no—
1147#416—611no—
1148C2×#102—611no—
1149#408—611no—
1150#408—611no—
1151#407—611no—
1152#407—611no—
1153C61#6165411yescharacteristic, complemented, Sylow
1154H(5,𝔽2)—42no—
1155H(5,𝔽2)—42no—
1156C2×#41—21no—
1157C2×#41—21no—
1158C2×#41—21no—
1159C2×#41—42no—
1160C2×#41—42no—
1161C2×#41—611no—
1162C2×#41—611no—
1163C2×#41C22×D6111yescharacteristic
1164C2×#41C22×D6111yescharacteristic
1165C2×#41C22×D6111yescharacteristic
1166C2×#41C22×D6111yescharacteristic
1167C2×#41C22×D6111yescharacteristic
1168C2×#41C22×D6111yescharacteristic
1169C2×#41C22×D6111yescharacteristic
1170C22×Q8—611no—
1171C22×Q8—611no—
1172C22×Q8C22×D6111yescharacteristic
1173C22×D4—21no—
1174C22×D4—21no—
1175C22×D4—21no—
1176C22×D4—21no—
1177C22×D4—21no—
1178C22×D4—21no—
1179C22×D4—21no—
1180C22×D4C22×D6111yescharacteristic
1181C22×D4C22×D6111yescharacteristic
1182C22×D4C22×D6111yescharacteristic
1183C22×D4C22×D6111yescharacteristic
1184C23×C4—21no—
1185C23×C4C22×D6111yescharacteristic
1186#137—2442no—
1187#137—2442no—
1188#137—2442no—
1189#137—2442no—
1190AGL(1,ℤ/8)—2442no—
1191AGL(1,ℤ/8)—2442no—
1192#135—2442no—
1193C2×Q16—611no—
1194C2×Q16—611no—
1195C2×Q16—611no—
1196C2×Q16—611no—
1197C2×Q16—611no—
1198C2×Q16—611no—
1199C2×SD16—611no—
1200C2×SD16—611no—
1201C2×SD16—611no—
1202C2×SD16—611no—
1203C2×SD16—611no—
1204C2×SD16—611no—
1205C2×SD16—611no—
1206C2×SD16—611no—
1207C2×SD16—611no—
1208C2×SD16—611no—
1209C2×SD16—611no—
1210C2×SD16—611no—
1211C2×SD16—611no—
1212C2×SD16—611no—
1213C2×SD16—2442no—
1214C2×D8—611no—
1215C2×D8—611no—
1216C2×D8—611no—
1217C2×D8—611no—
1218C2×M16—611no—
1219C2×M16—611no—
1220C2×M16—611no—
1221C2×M16—611no—
1222C2×M16—611no—
1223C2×M16—611no—
1224C22×C8—611no—
1225C22×C8—611no—
1226C4⋊Q8—611no—
1227C4⋊Q8—611no—
1228C4⋊Q8—1221no—
1229C4⋊Q8—1221no—
1230#127—21no—
1231#127—21no—
1232#127C22×D6111yescharacteristic
1233#127C22×D6111yescharacteristic
1234#126—1221no—
1235#126—1221no—
1236#126—1221no—
1237#126—1221no—
1238#126—1221no—
1239#126—1221no—
1240#126—1221no—
1241#125—611no—
1242#125—1221no—
1243#125—1221no—
1244#125—1221no—
1245#125—1221no—
1246#124—21no—
1247#124—21no—
1248#124—611no—
1249#124—1221no—
1250#124—1221no—
1251#124—1221no—
1252#124—1221no—
1253#124—1221no—
1254#124C22×D6111yescharacteristic
1255#124C22×D6111yescharacteristic
1256#123—21no—
1257#123—21no—
1258#123—1221no—
1259#123—1221no—
1260#123—1221no—
1261#123—1221no—
1262#123—1221no—
1263#123—1221no—
1264#123—1221no—
1265#123—1221no—
1266#123C22⋊D6111yescharacteristic
1267#123C22⋊D6111yescharacteristic
1268C22⋊Q8—21no—
1269C22⋊Q8—21no—
1270C22⋊Q8—21no—
1271C22⋊Q8—611no—
1272C22⋊Q8—611no—
1273C22⋊Q8—611no—
1274C22⋊Q8—611no—
1275C22⋊Q8—611no—
1276C22⋊Q8—611no—
1277C22⋊Q8—611no—
1278C22⋊Q8—611no—
1279C22⋊Q8—611no—
1280C22⋊Q8—1221no—
1281C22⋊Q8—1221no—
1282C22⋊Q8—1221no—
1283C22⋊Q8—1221no—
1284C22⋊Q8—1221no—
1285C22⋊Q8—1221no—
1286C22⋊Q8—1221no—
1287C22⋊Q8—1221no—
1288C22⋊Q8—1221no—
1289C22⋊Q8—1221no—
1290C22⋊Q8C22⋊D6111yescharacteristic
1291C22⋊Q8C22⋊D6111yescharacteristic
1292C22⋊Q8C22×D6111yescharacteristic
1293C22⋊Q8C22×D6111yescharacteristic
1294#121—21no—
1295#121—21no—
1296#121—21no—
1297#121—21no—
1298#121—21no—
1299#121—21no—
1300#121—21no—
1301#121—21no—
1302#121—21no—
1303#121—21no—
1304#121—21no—
1305#121—21no—
1306#121—21no—
1307#121—21no—
1308#121—21no—
1309#121—21no—
1310#121—21no—
1311#121—611no—
1312#121—611no—
1313#121—611no—
1314#121—1221no—
1315#121—1221no—
1316#121—1221no—
1317#121—1221no—
1318#121—1221no—
1319#121—1221no—
1320#121—1221no—
1321#121C22⋊D6111yescharacteristic
1322#121C22⋊D6111yescharacteristic
1323#121C22×D6111yescharacteristic
1324#121C22×D6111yescharacteristic
1325#121C22×D6111yescharacteristic
1326#121C22×D6111yescharacteristic
1327#121C22×D6111yescharacteristic
1328#121C22×D6111yescharacteristic
1329#120—21no—
1330#120—21no—
1331#120—21no—
1332#120—21no—
1333#120—21no—
1334#120—21no—
1335#120—21no—
1336#120—21no—
1337#120—1221no—
1338#120C22⋊D6111yescharacteristic
1339#120C22⋊D6111yescharacteristic
1340C4×Q8—611no—
1341C4×Q8—611no—
1342C4×Q8—611no—
1343C4×Q8—1221no—
1344C4×Q8C22×D6111yescharacteristic
1345C4×Q8C22×D6111yescharacteristic
1346C4×D4—21no—
1347C4×D4—21no—
1348C4×D4—21no—
1349C4×D4—21no—
1350C4×D4—21no—
1351C4×D4—21no—
1352C4×D4—611no—
1353C4×D4—1221no—
1354C4×D4—1221no—
1355C4×D4—1221no—
1356C4×D4—1221no—
1357C4×D4—1221no—
1358C4×D4—1221no—
1359C4×D4—1221no—
1360C4×D4C22×D6111yescharacteristic
1361C4×D4C22×D6111yescharacteristic
1362C4×D4C22×D6111yescharacteristic
1363C4×D4C22×D6111yescharacteristic
1364C4×D4C22×D6111yescharacteristic
1365C4×D4C22×D6111yescharacteristic
1366#117—21no—
1367#117—611no—
1368#117—611no—
1369#117—1221no—
1370#117C22×D6111yescharacteristic
1371C2×C4⋊C4—21no—
1372C2×C4⋊C4—611no—
1373C2×C4⋊C4—611no—
1374C2×C4⋊C4—1221no—
1375C2×C4⋊C4—1221no—
1376C2×C4⋊C4C22×D6111yescharacteristic
1377C2×C22⋊C4—21no—
1378C2×C22⋊C4—21no—
1379C2×C22⋊C4—21no—
1380C2×C22⋊C4—1221no—
1381#107—611no—
1382#107—611no—
1383#107—611no—
1384#107—611no—
1385#107—611no—
1386#107—611no—
1387#106—611no—
1388#106—611no—
1389C4⋊C8—611no—
1390C4⋊C8—611no—
1391C4⋊C8—611no—
1392C4⋊C8—611no—
1393#103—611no—
1394#103—611no—
1395#103—611no—
1396#103—611no—
1397#103—611no—
1398#103—611no—
1399#103—611no—
1400#103—611no—
1401#103—611no—
1402#103—611no—
1403#103—611no—
1404#103—611no—
1405#103—611no—
1406#103—611no—
1407#102—611no—
1408#102—611no—
1409#102—611no—
1410#102—611no—
1411#102—611no—
1412#102—611no—
1413#102—611no—
1414#102—611no—
1415#102—611no—
1416#102—611no—
1417#102—611no—
1418#102—611no—
1419#102—611no—
1420#102—611no—
1421#102—611no—
1422#102—611no—
1423#102—611no—
1424#102—611no—
1425C22⋊C8—611no—
1426C22⋊C8—611no—
1427C22⋊C8—611no—
1428C22⋊C8—611no—
1429C22⋊C8—611no—
1430C22⋊C8—611no—
1431C22⋊C8—611no—
1432C22⋊C8—611no—
1433C22⋊C8—611no—
1434C22⋊C8—611no—
1435C22⋊C8—611no—
1436C22⋊C8—611no—
1437#97—611no—
1438#97—611no—
1439C4×C8—611no—
1440C4×C8—611no—
1441C24—21no—
1442C24—21no—
1443C24—21no—
1444C24—21no—
1445C24C2×C22⋊D6111yescharacteristic
1446#41—22no—
1447#41—22no—
1448#41—22no—
1449#41—22no—
1450#41—22no—
1451#41—22no—
1452#41—41no—
1453#41—41no—
1454#41—41no—
1455#41—41no—
1456#41—41no—
1457#41—41no—
1458#41—41no—
1459#41—41no—
1460#41—44no—
1461#41—44no—
1462#41—44no—
1463#41—2441no—
1464#41—2441no—
1465#41—2441no—
1466#41—2441no—
1467C2×Q8—21no—
1468C2×Q8—22no—
1469C2×Q8—41no—
1470C2×Q8—611no—
1471C2×Q8—611no—
1472C2×Q8—611no—
1473C2×Q8—1221no—
1474C2×Q8—1221no—
1475C2×Q8—1221no—
1476C2×Q8—2441no—
1477C2×Q8—2441no—
1478C2×Q8—2441no—
1479C2×Q8—2441no—
1480C2×Q8C2×C22⋊D6111yescharacteristic
1481C2×Q8C23×D6111yescharacteristic
1482C2×Q8C23×D6111yescharacteristic
1483C2×D4—21no—
1484C2×D4—22no—
1485C2×D4—22no—
1486C2×D4—22no—
1487C2×D4—21no—
1488C2×D4—21no—
1489C2×D4—21no—
1490C2×D4—21no—
1491C2×D4—21no—
1492C2×D4—21no—
1493C2×D4—21no—
1494C2×D4—21no—
1495C2×D4—21no—
1496C2×D4—21no—
1497C2×D4—21no—
1498C2×D4—21no—
1499C2×D4—21no—
1500C2×D4—21no—
1501C2×D4—21no—
1502C2×D4—21no—
1503C2×D4—21no—
1504C2×D4—21no—
1505C2×D4—21no—
1506C2×D4—41no—
1507C2×D4—41no—
1508C2×D4—41no—
1509C2×D4—41no—
1510C2×D4—41no—
1511C2×D4—44no—
1512C2×D4—44no—
1513C2×D4—44no—
1514C2×D4—44no—
1515C2×D4—82no—
1516C2×D4—82no—
1517C2×D4—82no—
1518C2×D4—611no—
1519C2×D4—1221no—
1520C2×D4—1221no—
1521C2×D4—1221no—
1522C2×D4—1221no—
1523C2×D4—1221no—
1524C2×D4C2×C22⋊D6111yescharacteristic
1525C2×D4C2×C22⋊D6111yescharacteristic
1526C2×D4C2×C22⋊D6111yescharacteristic
1527C2×D4C2×C22⋊D6111yescharacteristic
1528C2×D4C2×C22⋊D6111yescharacteristic
1529C2×D4C2×C22⋊D6111yescharacteristic
1530C2×D4C2×C22⋊D6111yescharacteristic
1531C2×D4C23×D6111yescharacteristic
1532C2×D4C23×D6111yescharacteristic
1533C2×D4C23×D6111yescharacteristic
1534C2×D4C23×D6111yescharacteristic
1535C22×C4—21no—
1536C22×C4—21no—
1537C22×C4—21no—
1538C22×C4—21no—
1539C22×C4—21no—
1540C22×C4—21no—
1541C22×C4—21no—
1542C22×C4—21no—
1543C22×C4—21no—
1544C22×C4—21no—
1545C22×C4—41no—
1546C22×C4—41no—
1547C22×C4—44no—
1548C22×C4—1221no—
1549C22×C4—1221no—
1550C22×C4—1221no—
1551C22×C4—1221no—
1552C22×C4—1221no—
1553C22×C4—1221no—
1554C22×C4—1221no—
1555C22×C4C2×C22⋊D6111yescharacteristic
1556C22×C4C2×C22⋊D6111yescharacteristic
1557C22×C4C2×C22⋊D6111yescharacteristic
1558C22×C4C23×D6111yescharacteristic
1559C22×C4C23×D6111yescharacteristic
1560C22×C4C23×D6111yescharacteristic
1561C22×C4C23×D6111yescharacteristic
1562C22×C4C23×D6111yescharacteristic
1563Q16—1222no—
1564Q16—1222no—
1565Q16—1222no—
1566Q16—2441no—
1567Q16—2441no—
1568Q16—2441no—
1569SD16—1222no—
1570SD16—1222no—
1571SD16—1222no—
1572SD16—1222no—
1573SD16—2441no—
1574SD16—2441no—
1575SD16—2441no—
1576SD16—2441no—
1577SD16—2441no—
1578SD16—2441no—
1579SD16—2441no—
1580SD16—2441no—
1581SD16—2441no—
1582SD16—2441no—
1583D8—1222no—
1584D8—2441no—
1585D8—2441no—
1586D8—2441no—
1587M16—2441no—
1588M16—2441no—
1589M16—2441no—
1590M16—2441no—
1591M16—2441no—
1592M16—2441no—
1593C2×C8—611no—
1594C2×C8—611no—
1595C2×C8—611no—
1596C2×C8—611no—
1597C2×C8—611no—
1598C2×C8—611no—
1599C2×C8—611no—
1600C2×C8—611no—
1601C2×C8—2441no—
1602C2×C8—2441no—
1603C4⋊C4—21no—
1604C4⋊C4—21no—
1605C4⋊C4—21no—
1606C4⋊C4—21no—
1607C4⋊C4—21no—
1608C4⋊C4—611no—
1609C4⋊C4—611no—
1610C4⋊C4—611no—
1611C4⋊C4—611no—
1612C4⋊C4—1221no—
1613C4⋊C4—1221no—
1614C4⋊C4—1221no—
1615C4⋊C4—1221no—
1616C4⋊C4—1221no—
1617C4⋊C4—1221no—
1618C4⋊C4—1221no—
1619C4⋊C4—1221no—
1620C4⋊C4—1221no—
1621C4⋊C4—1221no—
1622C4⋊C4—1221no—
1623C4⋊C4—1221no—
1624C4⋊C4—1221no—
1625C4⋊C4—1221no—
1626C4⋊C4—1221no—
1627C4⋊C4—1221no—
1628C4⋊C4—1221no—
1629C4⋊C4—1221no—
1630C4⋊C4—1221no—
1631C4⋊C4C2×C22⋊D6111yescharacteristic
1632C4⋊C4C2×C22⋊D6111yescharacteristic
1633C4⋊C4C2×C22⋊D6111yescharacteristic
1634C4⋊C4C2×C22⋊D6111yescharacteristic
1635C4⋊C4C2×C22⋊D6111yescharacteristic
1636C4⋊C4C2×C22⋊D6111yescharacteristic
1637C4⋊C4C23×D6111yescharacteristic
1638C4⋊C4C23×D6111yescharacteristic
1639C22⋊C4—21no—
1640C22⋊C4—21no—
1641C22⋊C4—21no—
1642C22⋊C4—21no—
1643C22⋊C4—21no—
1644C22⋊C4—21no—
1645C22⋊C4—21no—
1646C22⋊C4—21no—
1647C22⋊C4—21no—
1648C22⋊C4—21no—
1649C22⋊C4—21no—
1650C22⋊C4—21no—
1651C22⋊C4—21no—
1652C22⋊C4—21no—
1653C22⋊C4—1221no—
1654C22⋊C4—1221no—
1655C22⋊C4—1221no—
1656C22⋊C4—1221no—
1657C22⋊C4—1221no—
1658C22⋊C4—1221no—
1659C22⋊C4—1221no—
1660C22⋊C4—1221no—
1661C22⋊C4—1221no—
1662C22⋊C4—1221no—
1663C22⋊C4—1221no—
1664C22⋊C4—1221no—
1665C22⋊C4—1221no—
1666C22⋊C4—1221no—
1667C22⋊C4—1221no—
1668C22⋊C4—1221no—
1669C22⋊C4—1221no—
1670C22⋊C4C2×C22⋊D6111yescharacteristic
1671C22⋊C4C2×C22⋊D6111yescharacteristic
1672C22⋊C4C2×C22⋊D6111yescharacteristic
1673C22⋊C4C2×C22⋊D6111yescharacteristic
1674C22⋊C4C2×C22⋊D6111yescharacteristic
1675C22⋊C4C2×C22⋊D6111yescharacteristic
1676C22⋊C4C2×C22⋊D6111yescharacteristic
1677C22⋊C4C2×C22⋊D6111yescharacteristic
1678C22⋊C4C2×C22⋊D6111yescharacteristic
1679C22⋊C4C2×C22⋊D6111yescharacteristic
1680C42—21no—
1681C42—21no—
1682C42—1221no—
1683C42—1221no—
1684C42—1221no—
1685C42—1221no—
1686C42—1221no—
1687C42C23×D6111yescharacteristic
1688C42C23×D6111yescharacteristic
1689C23—21no—
1690C23—21no—
1691C23—21no—
1692C23—21no—
1693C23—41no—
1694C23—41no—
1695C23—41no—
1696C23—42no—
1697C23—42no—
1698C23—42no—
1699C23—42no—
1700C23—42no—
1701C23—81no—
1702C23—81no—
1703C23—81no—
1704C23—81no—
1705C23—81no—
1706C23—81no—
1707C23—81no—
1708C23—1221no—
1709C23C22×C22⋊D6111yescharacteristic
1710C23C22×C22⋊D6111yescharacteristic
1711C23C22×C22⋊D6111yescharacteristic
1712C23C22×C22⋊D6111yescharacteristic
1713C23C22×C22⋊D6111yescharacteristic
1714Q8—21no—
1715Q8—21no—
1716Q8—21no—
1717Q8—41no—
1718Q8—42no—
1719Q8—1221no—
1720Q8—1221no—
1721Q8—1221no—
1722Q8—1221no—
1723Q8—1221no—
1724Q8—1221no—
1725Q8—4881no—
1726Q8—4881no—
1727Q8—4881no—
1728Q8#1451982212yes—
1729D4—24no—
1730D4—21no—
1731D4—21no—
1732D4—21no—
1733D4—21no—
1734D4—21no—
1735D4—21no—
1736D4—21no—
1737D4—41no—
1738D4—41no—
1739D4—41no—
1740D4—41no—
1741D4—41no—
1742D4—41no—
1743D4—41no—
1744D4—42no—
1745D4—42no—
1746D4—42no—
1747D4—42no—
1748D4—42no—
1749D4—42no—
1750D4—42no—
1751D4—42no—
1752D4—42no—
1753D4—42no—
1754D4—42no—
1755D4—81no—
1756D4—81no—
1757D4—81no—
1758D4—81no—
1759D4—81no—
1760D4—81no—
1761D4—81no—
1762D4—81no—
1763D4—1221no—
1764D4—1221no—
1765D4—4881no—
1766D4—4881no—
1767D4—4881no—
1768D4—4881no—
1769D4—2442no—
1770D4#1451982212yes—
1771C2×C4—24no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—21no—
1777C2×C4—21no—
1778C2×C4—21no—
1779C2×C4—21no—
1780C2×C4—21no—
1781C2×C4—21no—
1782C2×C4—21no—
1783C2×C4—21no—
1784C2×C4—21no—
1785C2×C4—21no—
1786C2×C4—41no—
1787C2×C4—41no—
1788C2×C4—41no—
1789C2×C4—42no—
1790C2×C4—42no—
1791C2×C4—42no—
1792C2×C4—42no—
1793C2×C4—42no—
1794C2×C4—42no—
1795C2×C4—81no—
1796C2×C4—81no—
1797C2×C4—81no—
1798C2×C4—1221no—
1799C2×C4—1221no—
1800C2×C4—1221no—
1801C2×C4—1221no—
1802C2×C4—1221no—
1803C2×C4—1221no—
1804C2×C4—1221no—
1805C2×C4—4881no—
1806C2×C4—4881no—
1807C2×C4—4881no—
1808C2×C4—4881no—
1809C2×C4—4881no—
1810C2×C4—4881no—
1811C2×C4—4881no—
1812C2×C4C22×C22⋊D6111yescharacteristic
1813C2×C4C22×C22⋊D6111yescharacteristic
1814C2×C4C22×C22⋊D6111yescharacteristic
1815C2×C4C22×C22⋊D6111yescharacteristic
1816C2×C4C22×C22⋊D6111yescharacteristic
1817C2×C4C22×C22⋊D6111yescharacteristic
1818C2×C4C22×C22⋊D6111yescharacteristic
1819C2×C4C22×C22⋊D6111yescharacteristic
1820C2×C4C22×C22⋊D6111yescharacteristic
1821C2×C4C24×D6111yescharacteristic
1822C8—1221no—
1823C8—1221no—
1824C8—1221no—
1825C8—1221no—
1826C8—1221no—
1827C8—1221no—
1828C8—1221no—
1829C8—1221no—
1830C22—21no—
1831C22—21no—
1832C22—21no—
1833C22—21no—
1834C22—21no—
1835C22—21no—
1836C22—21no—
1837C22—21no—
1838C22—21no—
1839C22—21no—
1840C22—21no—
1841C22—21no—
1842C22—21no—
1843C22—22no—
1844C22—21no—
1845C22—21no—
1846C22—41no—
1847C22—41no—
1848C22—41no—
1849C22—41no—
1850C22—41no—
1851C22—41no—
1852C22—41no—
1853C22—41no—
1854C22—41no—
1855C22—41no—
1856C22—41no—
1857C22—82no—
1858C22—84no—
1859C22—162no—
1860C22—162no—
1861C22—162no—
1862C22—2441no—
1863C22—2441no—
1864C22—2441no—
1865C22C23×C22⋊D6111yescharacteristic
1866C4—21no—
1867C4—21no—
1868C4—21no—
1869C4—21no—
1870C4—21no—
1871C4—22no—
1872C4—21no—
1873C4—21no—
1874C4—21no—
1875C4—21no—
1876C4—41no—
1877C4—41no—
1878C4—41no—
1879C4—2441no—
1880C4—2441no—
1881C4—2441no—
1882C4—2441no—
1883C4—2441no—
1884C4—2441no—
1885C4—2441no—
1886C4C2×#1451982211yescharacteristic
1887C4C2×#1451982211yescharacteristic
1888C2—41no—
1889C2—41no—
1890C2—41no—
1891C2—41no—
1892C2—41no—
1893C2—42no—
1894C2—81no—
1895C2—81no—
1896C2—81no—
1897C2—4881no—
1898C2#2145945411yescharacteristic
1899C2#2146059911yescharacteristic
1900C2#2146060511yescharacteristic
subgroupG/H
centerC22C23×C22⋊D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3488C2
socleC22×C61C23×D4
hypercenter#3488D61
hypocenterC61#61654
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ #525 ◁ #3488

Complements

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

NH ≅ G/Ntype
1. #21460112C2semidirect
2. #21458157C2semidirect
3. #21458087C2semidirect
4. #21458050C2semidirect
5. #21458020C2semidirect
6. #21457900C2semidirect
7. #21457885C2semidirect
8. #21457840C2semidirect
9. #21457825C2semidirect
10. #21457485C2semidirect
11. #21457472C2semidirect
12. #21457446C2semidirect
13. #21457415C2semidirect
14. #21457400C2semidirect
15. #21457375C2semidirect
16. #21457325C2semidirect
17. #21457310C2semidirect
18. #21456913C2semidirect
19. #21456891C2semidirect
20. #21456716C2semidirect
21. #21456695C2semidirect
22. #21456633C2semidirect
23. #21456625C2semidirect
24. #21456081C2semidirect
25. #21456033C2semidirect
26. #21455123C2semidirect
27. #21455096C2semidirect
28. #21455079C2semidirect
29. #21455061C2semidirect
30. #21454881C2semidirect
31. C61×#3488C2semidirect
32. C2×#14519808C22semidirect
33. C2×#14519807C22semidirect
34. C2×#14519807C22semidirect
35. C2×#14519807C22semidirect
36. C2×#14519803C22semidirect
37. C2×#14519803C22semidirect
38. C2×#14519797C22semidirect
39. C22×#11758200C22semidirect
42. #16840482C22semidirect
43. #16840469C22semidirect
45. #16840458C22semidirect
47. #16840452C22semidirect
48. D4×Dic122C22semidirect
49. #16840421C22semidirect
50. #16840421C22semidirect
51. #16840417C22semidirect
52. #16840383C22semidirect
54. #16840374C22semidirect
58. #16840340C22semidirect
59. #16840333C22semidirect
60. #16840273C22semidirect
61. C2×#14519756C22semidirect
62. #16840157C22semidirect
63. #16840149C22semidirect
64. #16840144C22semidirect
65. #16840134C22semidirect
66. #16840126C22semidirect
67. #16840121C22semidirect
68. #16840116C22semidirect
69. #16840108C22semidirect
70. #16840100C22semidirect
71. #16840097C22semidirect
72. #16840097C22semidirect
73. #16840095C22semidirect
74. #16840092C22semidirect
75. #16840083C22semidirect
76. #16840083C22semidirect
77. #16840083C22semidirect
78. #16840075C22semidirect
79. #16840073C22semidirect
80. #16840073C22semidirect
81. #16840073C22semidirect
82. #16840069C22semidirect
83. #16840062C22semidirect
84. #16840057C22semidirect
85. #16840042C22semidirect
86. #16840018C22semidirect
87. #16840013C22semidirect
88. #16840013C22semidirect
89. #16840010C22semidirect
90. #16840006C22semidirect
91. #16840006C22semidirect
92. #16840006C22semidirect
93. #16840006C22semidirect
94. #16840006C22semidirect
95. #16840006C22semidirect
96. #16840006C22semidirect
97. #16840006C22semidirect
98. #16840001C22semidirect
99. #16840001C22semidirect
100. #16839996C22semidirect
101. #16839989C22semidirect
102. #16839984C22semidirect
103. #16839981C22semidirect
104. #16839981C22semidirect
105. #16839981C22semidirect
106. #16839977C22semidirect
107. #16839974C22semidirect
108. #16839972C22semidirect
109. #16839967C22semidirect
110. #16839959C22semidirect
111. #16839959C22semidirect
112. #16839959C22semidirect
113. #16839954C22semidirect
117. #16839924C22semidirect
118. #16839924C22semidirect
119. #16839924C22semidirect
120. #16839924C22semidirect
121. #16839924C22semidirect
122. #16839924C22semidirect
123. #16839924C22semidirect
124. #16839924C22semidirect
125. #16839922C22semidirect
126. #16839918C22semidirect
127. #16839918C22semidirect
128. #16839917C22semidirect
129. #16839913C22semidirect
130. #16839913C22semidirect
131. #16839913C22semidirect
132. #16839913C22semidirect
133. #16839913C22semidirect
134. #16839913C22semidirect
135. #16839913C22semidirect
136. #16839913C22semidirect
138. #16839907C22semidirect
139. #16839907C22semidirect
140. #16839907C22semidirect
141. #16839907C22semidirect
142. #16839905C22semidirect
143. #16839905C22semidirect
144. #16839905C22semidirect
145. #16839900C22semidirect
146. #16839900C22semidirect
147. #16839900C22semidirect
148. #16839896C22semidirect
149. #16839896C22semidirect
150. #16839867C22semidirect
151. #16839862C22semidirect
152. #16839862C22semidirect
153. #16839860C22semidirect
154. C4×#11758202C22semidirect
155. C4×#11758202C22semidirect
156. C4×#11758200C22semidirect
157. C4×#11758199C22semidirect
158. #16839840C22semidirect
159. #16839840C22semidirect
160. #16839840C22semidirect
161. #16839840C22semidirect
162. #16839834C22semidirect
163. #16839834C22semidirect
164. #16839834C22semidirect
165. #16839834C22semidirect
166. #16839823C22semidirect
167. #16839823C22semidirect
168. #16839771C22semidirect
169. #16839767C22semidirect
170. #16839767C22semidirect
171. #16839763C22semidirect
172. #16839763C22semidirect
173. #16839763C22semidirect
174. #16839758C22semidirect
175. C2×#14519698C22semidirect
176. #16839729C22semidirect
177. #16839729C22semidirect
178. #16839726C22semidirect
179. #16839726C22semidirect
939. #3488D61semidirect
1153. C61#61654semidirect

Maximal subgroups

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

subgroupindex
#214601122
#214581572
#214580872
#214580502
#214580202
#214579002
#214578852
#214578402
#214578252
#214574852
#214574722
#214574462
#214574152
#214574002
#214573752
#214573252
#214573102
#214569132
#214568912
#214567162
#214566952
#214566332
#214566252
#214560812
#214560332
#214551232
#214550962
#214550792
#214550612
#214548812
C61×#34882
#6165461