Finite Group Databasebeta

← #30546253

Subgroups — #30546253

Order 15616.

1664 conjugacy classes of subgroups.

The subgroup lattice has 1630 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459250C211yesmaximal, characteristic
2#21454991C211yesmaximal, characteristic, complemented
3#21454988C211yesmaximal, characteristic, complemented
4#21454988C211yesmaximal, characteristic, complemented
5#21454984C211yesmaximal, characteristic, complemented
6#21454973C211yesmaximal, characteristic, complemented
7#21454967C211yesmaximal, characteristic, complemented
8#21454962C211yesmaximal, characteristic, complemented
9#21454962C211yesmaximal, characteristic, complemented
10#21454948C211yesmaximal, characteristic, complemented
11#21454935C211yesmaximal, characteristic, complemented
12#21454919C211yesmaximal, characteristic, complemented
13#21454912C211yesmaximal, characteristic, complemented
14#21454912C211yesmaximal, characteristic, complemented
15#21454905C211yesmaximal, characteristic, complemented
16#21454828C211yesmaximal, characteristic, complemented
17#21454822C211yesmaximal, characteristic, complemented
18#21454821C211yesmaximal, characteristic, complemented
19#21454821C211yesmaximal, characteristic, complemented
20#21454812C211yesmaximal, characteristic, complemented
21#21454808C211yesmaximal, characteristic, complemented
22#21454803C211yesmaximal, characteristic, complemented
23#21454802C211yesmaximal, characteristic, complemented
24#21454792C211yesmaximal, characteristic, complemented
25#21454784C211yesmaximal, characteristic, complemented
26#21454771C211yesmaximal, characteristic, complemented
27#21454764C211yesmaximal, characteristic, complemented
28#21454760C211yesmaximal, characteristic, complemented
29#21454755C211yesmaximal, characteristic, complemented
30#21454748C211yesmaximal, characteristic, complemented
31C61×#2985C211yesmaximal, characteristic, complemented
32#16840389C411yescharacteristic
33#16840386C411yescharacteristic
34#16840385C411yescharacteristic
35#16840382C411yescharacteristic
36#16840382C411yescharacteristic
37#16840373C411yescharacteristic
38#16840372C411yescharacteristic
39#16840371C411yescharacteristic
40#16840371C411yescharacteristic
41#16840360C411yescharacteristic
42#16840360C411yescharacteristic
43#16840358C411yescharacteristic
44#16840358C411yescharacteristic
45#16840342C411yescharacteristic
46#16840337C411yescharacteristic
47#16840335C411yescharacteristic
48#16840316C2211yescharacteristic
49#16840316C2211yescharacteristic
50#16840316C2211yescharacteristic
51#16840299C2211yescharacteristic
52#16840299C2211yescharacteristic
53#16840299C2211yescharacteristic
54#16840296C2211yescharacteristic
55#16840290C2211yescharacteristic
56#16840290C2211yescharacteristic
57#16840290C2211yescharacteristic
58#16840290C2211yescharacteristic
59C4×#11758226C2211yescharacteristic
60C4×#11758222C2211yescharacteristic
61C4×Q8×D61C2211yescharacteristic
62#16839893C2211yescharacteristic
63#16839893C2211yescharacteristic
64#16839893C2211yescharacteristic
65#16839893C2211yescharacteristic
66#16839893C2211yescharacteristic
67#16839893C2211yescharacteristic
68#16839893C2211yescharacteristic
69#16839893C2211yescharacteristic
70#16839892C2211yescharacteristic
71#16839891C2211yescharacteristic
72#16839891C2211yescharacteristic
73#16839891C2211yescharacteristic
74#16839891C2211yescharacteristic
75#16839891C2211yescharacteristic
76#16839891C2211yescharacteristic
77#16839891C2211yescharacteristic
78#16839891C2211yescharacteristic
79#16839890C2211yescharacteristic
80#16839890C2211yescharacteristic
81#16839890C2211yescharacteristic
82#16839890C2211yescharacteristic
83#16839890C2211yescharacteristic
84#16839890C2211yescharacteristic
85#16839889C2211yescharacteristic
86C8×Dic122C2211yescharacteristic
87C8×Dic122C2211yescharacteristic
88C8×Dic122C2211yescharacteristic
89C8×Dic122C2211yescharacteristic
90C8×Dic122C2211yescharacteristic
91#16839886C2211yescharacteristic
92#16839886C2211yescharacteristic
93#16839886C2211yescharacteristic
94#16839841C2211yescharacteristic
95#16839841C2211yescharacteristic
96#16839841C2211yescharacteristic
97#16839841C2211yescharacteristic
98#16839841C2211yescharacteristic
99#16839839C2211yescharacteristic
100#16839839C2211yescharacteristic
101#16839839C2211yescharacteristic
102#16839837C2211yescharacteristic
103#16839837C2211yescharacteristic
104#16839837C2211yescharacteristic
105#16839837C2211yescharacteristic
106#16839837C2211yescharacteristic
107#16839837C2211yescharacteristic
108#16839836C2211yescharacteristic
109#16839836C2211yescharacteristic
110#16839835C2211yescharacteristic
111#16839835C2211yescharacteristic
112#16839835C2211yescharacteristic
113#16839835C2211yescharacteristic
114#16839835C2211yescharacteristic
115#16839835C2211yescharacteristic
116#16839832C2211yescharacteristic
117#16839832C2211yescharacteristic
118#16839832C2211yescharacteristic
119#16839832C2211yescharacteristic
120#16839832C2211yescharacteristic
121#16839832C2211yescharacteristic
122#16839832C2211yescharacteristic
123#16839832C2211yescharacteristic
124#16839830C2211yescharacteristic
125#16839830C2211yescharacteristic
126#16839830C2211yescharacteristic
127#16839830C2211yescharacteristic
128C8×D244C2211yescharacteristic
129#16839827C2211yescharacteristic
130#16839825C2211yescharacteristic
131#16839825C2211yescharacteristic
132#16839825C2211yescharacteristic
133#16839825C2211yescharacteristic
134#16839824C2211yescharacteristic
135#16839824C2211yescharacteristic
136#16839822C2211yescharacteristic
137#16839822C2211yescharacteristic
138#16839822C2211yescharacteristic
139#16839822C2211yescharacteristic
140#16839822C2211yescharacteristic
141#16839822C2211yescharacteristic
142#16839821C2211yescharacteristic
143#16839821C2211yescharacteristic
144#16839821C2211yescharacteristic
145#16839821C2211yescharacteristic
146#16839818C2211yescharacteristic
147#16839817C2211yescharacteristic
148#16839817C2211yescharacteristic
149#16839817C2211yescharacteristic
150#16839817C2211yescharacteristic
151#16839814C2211yescharacteristic
152#16839814C2211yescharacteristic
153#16839814C2211yescharacteristic
154#16839814C2211yescharacteristic
155#16839814C2211yescharacteristic
156#16839813C2211yescharacteristic
157#16839813C2211yescharacteristic
158#16839789C2211yescharacteristic
159#16839789C2211yescharacteristic
160#16839787C2211yescharacteristic
161#16839787C2211yescharacteristic
162#16839787C2211yescharacteristic
163#16839787C2211yescharacteristic
164#16839787C2211yescharacteristic
165#16839787C2211yescharacteristic
166#16839786C2211yescharacteristic
167#16839784C2211yescharacteristic
168#16839784C2211yescharacteristic
169#16839784C2211yescharacteristic
170#16839784C2211yescharacteristic
171#16839784C2211yescharacteristic
172C4⋊C8×D61C2211yescharacteristic
173#16839719C2211yescharacteristic
174#16839719C2211yescharacteristic
175#16839718C2211yescharacteristic
176#16839718C2211yescharacteristic
177#16839716C2211yescharacteristic
178#16839716C2211yescharacteristic
179#16839716C2211yescharacteristic
180#16839716C2211yescharacteristic
181#16839714C2211yescharacteristic
182#16839714C2211yescharacteristic
183#16839714C2211yescharacteristic
184C4×#11758189C2211yescharacteristic
185C2×#14519688C2211yescharacteristic
186#97×D61C2211yescharacteristic
187C4×C8×D61C2211yescharacteristic
188C61×#533C2211yescharacteristic
189C61×#446C2211yescharacteristic
190C61×#446C2211yescharacteristic
191C61×#446C2211yescharacteristic
192C61×#446C2211yescharacteristic
193C61×#446C2211yescharacteristic
194C61×#446C2211yescharacteristic
195C8×Q8×C61C2211yescharacteristic
196C8×Q8×C61C2211yescharacteristic
197C61×#433C2211yescharacteristic
198C61×#433C2211yescharacteristic
199C61×#433C2211yescharacteristic
200C61×#433C2211yescharacteristic
201C61×#432C2211yescharacteristic
202C61×#431C2211yescharacteristic
203C2×#11758226C2×C411yescharacteristic
204C2×#11758222C2×C411yescharacteristic
205C2×Q8×D61C2×C411yescharacteristic
206C2×#11758194C2311yescharacteristic
207C2×#11758194C2311yescharacteristic
208C2×#11758189C2311yescharacteristic
209C2×#11758189C2311yescharacteristic
210C2×#11758189C2311yescharacteristic
211C2×#11758189C2311yescharacteristic
212C2×#11758189C2311yescharacteristic
213C2×#11758189C2311yescharacteristic
214C2×#11758189C2311yescharacteristic
215C2×#11758189C2311yescharacteristic
216C2×#11758189C2311yescharacteristic
217C2×#11758189C2311yescharacteristic
218C22×#92418C2311yescharacteristic
219C22×#92418C2311yescharacteristic
220C2×C8×D61C2311yescharacteristic
221C2×C8×D61C2311yescharacteristic
222C2×C8×D61C2311yescharacteristic
223C2×C8×D61C2311yescharacteristic
224C2×C8×D61C2311yescharacteristic
225C2×C8×D61C2311yescharacteristic
226#14519776C2×C411yescharacteristic
227#14519776C2×C411yescharacteristic
228#14519776C2×C411yescharacteristic
229#14519775C2×C411yescharacteristic
230#14519775C2×C411yescharacteristic
231#14519775C2×C411yescharacteristic
232#14519772C2×C411yescharacteristic
233#14519772C2×C411yescharacteristic
234#14519772C2×C411yescharacteristic
235#14519772C2×C411yescharacteristic
236#14519772C2×C411yescharacteristic
237#14519772C2×C411yescharacteristic
238#14519772C2×C411yescharacteristic
239#14519772C2×C411yescharacteristic
240#14519772C2×C411yescharacteristic
241#14519772C2×C411yescharacteristic
242#14519771C2×C411yescharacteristic
243#14519771C2×C411yescharacteristic
244#14519770C2×C411yescharacteristic
245#14519770C2×C411yescharacteristic
246#14519770C2×C411yescharacteristic
247#14519770C2×C411yescharacteristic
248#14519769C2×C411yescharacteristic
249#14519768C2×C411yescharacteristic
250#14519768C2×C411yescharacteristic
251#14519768C2×C411yescharacteristic
252#14519767C2×C411yescharacteristic
253#14519767C2×C411yescharacteristic
254#14519767C2×C411yescharacteristic
255#14519767C2×C411yescharacteristic
256#14519767C2×C411yescharacteristic
257#14519767C2×C411yescharacteristic
258#14519767C2×C411yescharacteristic
259#14519767C2×C411yescharacteristic
260#14519767C2×C411yescharacteristic
261#14519767C2×C411yescharacteristic
262#14519766C2×C411yescharacteristic
263#14519766C2×C411yescharacteristic
264#14519766C2×C411yescharacteristic
265#14519765C2×C411yescharacteristic
266#14519763C2×C411yescharacteristic
267#14519763C2×C411yescharacteristic
268#14519763C2×C411yescharacteristic
269#14519763C2×C411yescharacteristic
270#14519762C2×C411yescharacteristic
271#14519762C2×C411yescharacteristic
272#14519762C2×C411yescharacteristic
273#14519762C2×C411yescharacteristic
274#14519762C2×C411yescharacteristic
275#14519762C2×C411yescharacteristic
276#14519762C2×C411yescharacteristic
277#14519762C2×C411yescharacteristic
278#14519762C2×C411yescharacteristic
279#14519762C2×C411yescharacteristic
280#14519760C2×C411yescharacteristic
281#14519760C2×C411yescharacteristic
282#14519759C2×C411yescharacteristic
283#14519759C2×C411yescharacteristic
284#14519759C2×C411yescharacteristic
285#14519759C2×C411yescharacteristic
286#14519757C2×C411yescharacteristic
287#14519757C2×C411yescharacteristic
288#14519757C2×C411yescharacteristic
289#14519756C2×C411yescharacteristic
290#14519755C2×C411yescharacteristic
291#14519755C2×C411yescharacteristic
292#14519755C2×C411yescharacteristic
293#14519755C2×C411yescharacteristic
294#14519755C2×C411yescharacteristic
295#14519755C2×C411yescharacteristic
296#14519755C2×C411yescharacteristic
297#14519755C2×C411yescharacteristic
298#14519755C2×C411yescharacteristic
299#14519755C2×C411yescharacteristic
300#14519753C2×C411yescharacteristic
301#14519753C2×C411yescharacteristic
302#14519753C2×C411yescharacteristic
303#14519753C2×C411yescharacteristic
304#14519753C2×C411yescharacteristic
305#14519753C2×C411yescharacteristic
306#14519752C2×C411yescharacteristic
307#14519752C2×C411yescharacteristic
308#14519752C2×C411yescharacteristic
309#14519751C2×C411yescharacteristic
310#14519750C2×C411yescharacteristic
311#14519750C2×C411yescharacteristic
312#14519750C2×C411yescharacteristic
313#14519750C2×C411yescharacteristic
314Q8×Dic61C2×C411yescharacteristic
315Q8×Dic61C2×C411yescharacteristic
316C4×Dic122C2×C411yescharacteristic
317C4×Dic122C2311yescharacteristic
318C4×Dic122C2311yescharacteristic
319C4×Dic122C2311yescharacteristic
320C4×Dic122C2311yescharacteristic
321C4×Dic122C2311yescharacteristic
322C4×Dic122C2311yescharacteristic
323#14519742C2×C411yescharacteristic
324#14519742C2×C411yescharacteristic
325#14519742C2×C411yescharacteristic
326C4×D244C2×C411yescharacteristic
327C4×D244C2311yescharacteristic
328C4×D244C2311yescharacteristic
329C4×D244C2311yescharacteristic
330C4×D244C2311yescharacteristic
331C4×D244C2311yescharacteristic
332C4×D244C2311yescharacteristic
333#14519739C2×C411yescharacteristic
334#14519739C2×C411yescharacteristic
335#14519739C2×C411yescharacteristic
336C4×C22⋊D61C2×C411yescharacteristic
337C4×C22⋊D61C2×C411yescharacteristic
338C4×C22⋊D61C2311yescharacteristic
339C4×C22⋊D61C2311yescharacteristic
340C4×C22⋊D61C2311yescharacteristic
341C4×C22⋊D61C2311yescharacteristic
342#14519736C2×C411yescharacteristic
343#14519735C2×C411yescharacteristic
344#14519735C2×C411yescharacteristic
345#14519735C2×C411yescharacteristic
346#14519734C2×C411yescharacteristic
347#14519734C2×C411yescharacteristic
348#14519734C2311yescharacteristic
349#14519734C2311yescharacteristic
350#14519734C2311yescharacteristic
351#14519734C2311yescharacteristic
352#14519734C2311yescharacteristic
353#14519734C2311yescharacteristic
354C4⋊C4×D61C2×C411yescharacteristic
355C4⋊C4×D61C2×C411yescharacteristic
356C4⋊C4×D61C2×C411yescharacteristic
357C42×D61C2311yescharacteristic
358C42×D61C2311yescharacteristic
359C42×D61C2311yescharacteristic
360C42×D61C2311yescharacteristic
361C42×D61C2311yescharacteristic
362C42×D61C2311yescharacteristic
363C4⋊#92418C2311yescharacteristic
364C4⋊#92418C2311yescharacteristic
365C4⋊#92418C2311yescharacteristic
366C4⋊#92418C2311yescharacteristic
367C4⋊#92418C2311yescharacteristic
368C4⋊#92418C2311yescharacteristic
369C4⋊#92418C2311yescharacteristic
370C4⋊#92418C2311yescharacteristic
371C4⋊#92418C2311yescharacteristic
372C4⋊#92418C2311yescharacteristic
373C4⋊#92418C2311yescharacteristic
374C4⋊#92418C2311yescharacteristic
375#14519706C2311yescharacteristic
376#14519706C2311yescharacteristic
377#14519706C2311yescharacteristic
378#14519706C2311yescharacteristic
379#14519706C2311yescharacteristic
380#14519706C2311yescharacteristic
381#14519706C2311yescharacteristic
382#14519706C2311yescharacteristic
383#14519706C2311yescharacteristic
384#14519706C2311yescharacteristic
385#14519706C2311yescharacteristic
386#14519706C2311yescharacteristic
387#14519706C2311yescharacteristic
388#14519706C2311yescharacteristic
389#14519706C2311yescharacteristic
390#14519706C2311yescharacteristic
391#14519689C2311yescharacteristic
392#14519689C2311yescharacteristic
393#14519689C2311yescharacteristic
394#14519689C2311yescharacteristic
395#14519689C2311yescharacteristic
396#14519689C2311yescharacteristic
397#14519689C2311yescharacteristic
398#14519689C2311yescharacteristic
399#14519689C2311yescharacteristic
400#14519689C2311yescharacteristic
401#14519689C2311yescharacteristic
402#14519689C2311yescharacteristic
403#14519689C2311yescharacteristic
404#14519689C2311yescharacteristic
405#14519689C2311yescharacteristic
406#14519689C2311yescharacteristic
407#14519688C2311yescharacteristic
408#14519688C2311yescharacteristic
409#14519688C2311yescharacteristic
410#14519688C2311yescharacteristic
411#14519688C2311yescharacteristic
412#14519688C2311yescharacteristic
413#14519688C2311yescharacteristic
414#14519688C2311yescharacteristic
415#14519687C2311yescharacteristic
416#14519687C2311yescharacteristic
417#14519687C2311yescharacteristic
418#14519687C2311yescharacteristic
419#14519687C2311yescharacteristic
420#14519687C2311yescharacteristic
421C4×#92418C2311yescharacteristic
422C4×#92418C2311yescharacteristic
423C4×#92418C2311yescharacteristic
424C4×#92418C2311yescharacteristic
425C8×Dic61C2311yescharacteristic
426C8×Dic61C2311yescharacteristic
427C8×Dic61C2311yescharacteristic
428C8×Dic61C2311yescharacteristic
429C8×Dic61C2311yescharacteristic
430C8×Dic61C2311yescharacteristic
431C8×Dic61C2311yescharacteristic
432C8×Dic61C2311yescharacteristic
433C8×Dic61C2311yescharacteristic
434C8×Dic61C2311yescharacteristic
435C4⋊Q8×C61C2×C411yescharacteristic
436C4⋊Q8×C61C2×C411yescharacteristic
437#125×C61C2×C411yescharacteristic
438#125×C61C2×C411yescharacteristic
439C22⋊Q8×C61C2×C411yescharacteristic
440C22⋊Q8×C61C2×C411yescharacteristic
441C22⋊Q8×C61C2×C411yescharacteristic
442C22⋊Q8×C61C2×C411yescharacteristic
443C4×Q8×C61C2311yescharacteristic
444C4×Q8×C61C2311yescharacteristic
445C4×Q8×C61C2311yescharacteristic
446C4×Q8×C61C2311yescharacteristic
447#117×C61C2311yescharacteristic
448#117×C61C2311yescharacteristic
449C2×C42×C61C2311yescharacteristic
450C4⋊C8×C61C2311yescharacteristic
451C4⋊C8×C61C2311yescharacteristic
452C4⋊C8×C61C2311yescharacteristic
453C4⋊C8×C61C2311yescharacteristic
454C4⋊C8×C61C2311yescharacteristic
455C4⋊C8×C61C2311yescharacteristic
456C4⋊C8×C61C2311yescharacteristic
457C4⋊C8×C61C2311yescharacteristic
458C4⋊C8×C61C2311yescharacteristic
459C4⋊C8×C61C2311yescharacteristic
460C4⋊C8×C61C2311yescharacteristic
461C4⋊C8×C61C2311yescharacteristic
462C22⋊C8×C61C2311yescharacteristic
463C22⋊C8×C61C2311yescharacteristic
464C22⋊C8×C61C2311yescharacteristic
465C22⋊C8×C61C2311yescharacteristic
466#97×C61C2311yescharacteristic
467#97×C61C2311yescharacteristic
468#97×C61C2311yescharacteristic
469#97×C61C2311yescharacteristic
470#97×C61C2311yescharacteristic
471#97×C61C2311yescharacteristic
472C4×C8×C61C2311yescharacteristic
473C4×C8×C61C2311yescharacteristic
474C4×C8×C61C2311yescharacteristic
475C4×C8×C61C2311yescharacteristic
476C4×C8×C61C2311yescharacteristic
477C4×C8×C61C2311yescharacteristic
478C2×Q8×C61C22×C411yescharacteristic
479C2×Q8×C61C22×C411yescharacteristic
480C2×Q8×C61C22×C411yescharacteristic
481C2×Q8×C61C22×C411yescharacteristic
482C22×C4×C61C22×C411yescharacteristic
483C22×C4×C61C22×C411yescharacteristic
484C22×C4×C61C2411yescharacteristic
485C2×C22⋊D61C22×C411yescharacteristic
486C2×C22⋊D61C22×C411yescharacteristic
487C2×C22⋊D61C22×C411yescharacteristic
488C2×C22⋊D61C22×C411yescharacteristic
489#11758226—42no—
490Q8×D61—42no—
491#11758222—42no—
492C2×D244C22×C411yescharacteristic
493C2×D244C22×C411yescharacteristic
494C2×D244C22×C411yescharacteristic
495C2×D244C22×C411yescharacteristic
496C2×D244C22×C411yescharacteristic
497C2×D244C22×C411yescharacteristic
498C2×C4×D61C22×C411yescharacteristic
499C2×C4×D61C22×C411yescharacteristic
500C2×C4×D61C22×C411yescharacteristic
501C2×C4×D61C22×C411yescharacteristic
502C2×C4×D61C22×C411yescharacteristic
503C2×C4×D61C22×C411yescharacteristic
504C2×C4×D61C22×C411yescharacteristic
505C2×C4×D61C22×C411yescharacteristic
506C2×C4×D61C22×C411yescharacteristic
507C2×C4×D61C22×C411yescharacteristic
508C2×C4×D61C22×C411yescharacteristic
509C2×C4×D61C22×C411yescharacteristic
510C2×C4×D61C2411yescharacteristic
511C2×C4×D61C2411yescharacteristic
512C2×C4×D61C2411yescharacteristic
513C2×C4×D61C2411yescharacteristic
514C2×Dic122C22×C411yescharacteristic
515C2×Dic122C22×C411yescharacteristic
516C2×Dic122C22×C411yescharacteristic
517C2×Dic122C22×C411yescharacteristic
518C2×Dic122C22×C411yescharacteristic
519C2×Dic122C22×C411yescharacteristic
520C2×C8×C61C2411yescharacteristic
521C2×C8×C61C2411yescharacteristic
522C2×C8×C61C2411yescharacteristic
523C2×C8×C61C2411yescharacteristic
524C2×C8×C61C2411yescharacteristic
525C2×C8×C61C2411yescharacteristic
526C2×C8×C61C2411yescharacteristic
527C2×C8×C61C2411yescharacteristic
528C4⋊C4×C61C22×C411yescharacteristic
529C4⋊C4×C61C22×C411yescharacteristic
530C4⋊C4×C61C22×C411yescharacteristic
531C4⋊C4×C61C22×C411yescharacteristic
532C4⋊C4×C61C22×C411yescharacteristic
533C4⋊C4×C61C22×C411yescharacteristic
534C4⋊C4×C61C22×C411yescharacteristic
535C4⋊C4×C61C22×C411yescharacteristic
536C4⋊C4×C61C22×C411yescharacteristic
537C4⋊C4×C61C22×C411yescharacteristic
538C4⋊C4×C61C22×C411yescharacteristic
539C4⋊C4×C61C22×C411yescharacteristic
540C4⋊C4×C61C22×C411yescharacteristic
541C4⋊C4×C61C22×C411yescharacteristic
542C4⋊C4×C61C22×C411yescharacteristic
543C4⋊C4×C61C22×C411yescharacteristic
544C22⋊C4×C61C22×C411yescharacteristic
545C22⋊C4×C61C22×C411yescharacteristic
546C22⋊C4×C61C22×C411yescharacteristic
547C22⋊C4×C61C22×C411yescharacteristic
548C42×C61C22×C411yescharacteristic
549C42×C61C22×C411yescharacteristic
550C42×C61C2411yescharacteristic
551C42×C61C2411yescharacteristic
552C42×C61C2411yescharacteristic
553C42×C61C2411yescharacteristic
554C42×C61C2411yescharacteristic
555C42×C61C2411yescharacteristic
556C22⋊Dic61C22×C411yescharacteristic
557C22⋊Dic61C22×C411yescharacteristic
558C22⋊Dic61C22×C411yescharacteristic
559C22⋊Dic61C22×C411yescharacteristic
560#11758198C22×C411yescharacteristic
561#11758198C22×C411yescharacteristic
562#11758198C22×C411yescharacteristic
563#11758198C22×C411yescharacteristic
564#11758198C22×C411yescharacteristic
565#11758198C22×C411yescharacteristic
566#11758198C22×C411yescharacteristic
567#11758198C22×C411yescharacteristic
568#11758198C22×C411yescharacteristic
569#11758198C22×C411yescharacteristic
570#11758198C22×C411yescharacteristic
571#11758198C22×C411yescharacteristic
572#11758198C22×C411yescharacteristic
573#11758198C22×C411yescharacteristic
574#11758198C22×C411yescharacteristic
575#11758198C22×C411yescharacteristic
576#11758198C22×C411yescharacteristic
577#11758198C22×C411yescharacteristic
578#11758198C22×C411yescharacteristic
579#11758198C22×C411yescharacteristic
580#11758198C22×C411yescharacteristic
581#11758198C22×C411yescharacteristic
582#11758198C22×C411yescharacteristic
583#11758198C22×C411yescharacteristic
584#11758198C22×C411yescharacteristic
585#11758198C22×C411yescharacteristic
586#11758198C22×C411yescharacteristic
587#11758198C22×C411yescharacteristic
588C4⋊Dic61C22×C411yescharacteristic
589C4⋊Dic61C22×C411yescharacteristic
590C4⋊Dic61C22×C411yescharacteristic
591C4⋊Dic61C22×C411yescharacteristic
592C4⋊Dic61C22×C411yescharacteristic
593C4⋊Dic61C22×C411yescharacteristic
594C4⋊Dic61C22×C411yescharacteristic
595C4⋊Dic61C22×C411yescharacteristic
596C4⋊Dic61C22×C411yescharacteristic
597C4⋊Dic61C22×C411yescharacteristic
598C4⋊Dic61C22×C411yescharacteristic
599C4⋊Dic61C22×C411yescharacteristic
600#11758196C22×C411yescharacteristic
601#11758196C22×C411yescharacteristic
602#11758196C22×C411yescharacteristic
603#11758196C22×C411yescharacteristic
604#11758196C22×C411yescharacteristic
605#11758196C22×C411yescharacteristic
606#11758196C22×C411yescharacteristic
607#11758196C22×C411yescharacteristic
608#11758196C22×C411yescharacteristic
609#11758196C22×C411yescharacteristic
610#11758196C22×C411yescharacteristic
611#11758196C22×C411yescharacteristic
612#11758196C22×C411yescharacteristic
613#11758196C22×C411yescharacteristic
614#11758196C22×C411yescharacteristic
615#11758196C22×C411yescharacteristic
616#11758196C22×C411yescharacteristic
617#11758196C22×C411yescharacteristic
618#11758196C22×C411yescharacteristic
619#11758196C22×C411yescharacteristic
620#11758196C22×C411yescharacteristic
621#11758196C22×C411yescharacteristic
622#11758196C22×C411yescharacteristic
623#11758196C22×C411yescharacteristic
624#11758196C22×C411yescharacteristic
625#11758196C22×C411yescharacteristic
626#11758196C22×C411yescharacteristic
627#11758196C22×C411yescharacteristic
628C4×Dic61C22×C411yescharacteristic
629C4×Dic61C22×C411yescharacteristic
630C4×Dic61C22×C411yescharacteristic
631C4×Dic61C22×C411yescharacteristic
632C4×Dic61C22×C411yescharacteristic
633C4×Dic61C22×C411yescharacteristic
634C4×Dic61C22×C411yescharacteristic
635C4×Dic61C22×C411yescharacteristic
636C4×Dic61C22×C411yescharacteristic
637C4×Dic61C22×C411yescharacteristic
638C4×Dic61C22×C411yescharacteristic
639C4×Dic61C22×C411yescharacteristic
640C4×Dic61C2411yescharacteristic
641C4×Dic61C2411yescharacteristic
642C4×Dic61C2411yescharacteristic
643C4×Dic61C2411yescharacteristic
644#11758194—41no—
645#11758194—41no—
646C2×#92418—22no—
647C2×#92418—41no—
648C2×#92418C2411yescharacteristic
649C2×#92418C2411yescharacteristic
650C2×#92418C2411yescharacteristic
651C2×#92418C2411yescharacteristic
652C2×#92418C2411yescharacteristic
653C2×#92418C2411yescharacteristic
654C2×#92418C2411yescharacteristic
655C2×#92418C2411yescharacteristic
656#11758189—22no—
657#11758189—22no—
658#11758189—41no—
659#11758189—41no—
660#11758189—41no—
661#11758189—41no—
662#11758189—41no—
663#11758189—41no—
664#11758189—41no—
665#11758189—41no—
666C8×D61—22no—
667C8×D61—22no—
668C8×D61—41no—
669C8×D61—41no—
670C8×D61—41no—
671C8×D61—41no—
672C23×C61C23×C411yescharacteristic
673C22×D61C23×C411yescharacteristic
674C22×D61C23×C411yescharacteristic
675C22×D61C23×C411yescharacteristic
676C22×D61C23×C411yescharacteristic
677Q8×C61—41no—
678Q8×C61—41no—
679Q8×C61—41no—
680Q8×C61—41no—
681C2×C4×C61—21no—
682C2×C4×C61—21no—
683C2×C4×C61—41no—
684C2×C4×C61—41no—
685C2×C4×C61C23×C411yescharacteristic
686C2×C4×C61C23×C411yescharacteristic
687C2×C4×C61C23×C411yescharacteristic
688C2×C4×C61C23×C411yescharacteristic
689C2×C4×C61C23×C411yescharacteristic
690C2×C4×C61C23×C411yescharacteristic
691C2×C4×C61C23×C411yescharacteristic
692C2×C4×C61C23×C411yescharacteristic
693C2×C4×C61C23×C411yescharacteristic
694C2×C4×C61C23×C411yescharacteristic
695C2×C4×C61C23×C411yescharacteristic
696C2×C4×C61C23×C411yescharacteristic
697C2×C4×C61C23×C411yescharacteristic
698C2×C4×C61C2511yescharacteristic
699C22⋊D61—22no—
700C22⋊D61—41no—
701C22⋊D61—41no—
702C22⋊D61—41no—
703C2×Dic61C23×C411yescharacteristic
704C2×Dic61C23×C411yescharacteristic
705C2×Dic61C23×C411yescharacteristic
706C2×Dic61C23×C411yescharacteristic
707C2×Dic61C23×C411yescharacteristic
708C2×Dic61C23×C411yescharacteristic
709C2×Dic61C23×C411yescharacteristic
710C2×Dic61C23×C411yescharacteristic
711C2×Dic61C23×C411yescharacteristic
712C2×Dic61C23×C411yescharacteristic
713C2×Dic61C23×C411yescharacteristic
714C2×Dic61C23×C411yescharacteristic
715D244—41no—
716D244—41no—
717D244—41no—
718D244—41no—
719D244—41no—
720D244—41no—
721C4×D61—21no—
722C4×D61—21no—
723C4×D61—21no—
724C4×D61—21no—
725C4×D61—21no—
726C4×D61—21no—
727C4×D61—21no—
728C4×D61—21no—
729C4×D61—22no—
730C4×D61—22no—
731C4×D61—22no—
732C4×D61—41no—
733C4×D61—41no—
734C4×D61—41no—
735C4×D61—41no—
736C4×D61—41no—
737C4×D61—41no—
738C4×D61—41no—
739C4×D61—41no—
740C4×D61—41no—
741Dic122—22no—
742Dic122—22no—
743Dic122—22no—
744Dic122—41no—
745Dic122—41no—
746Dic122—41no—
747C8×C61—21no—
748C8×C61—21no—
749C8×C61—21no—
750C8×C61—21no—
751C8×C61—21no—
752C8×C61—21no—
753C8×C61—21no—
754C8×C61—21no—
755#92418—21no—
756#92418—21no—
757#92418—21no—
758#92418—21no—
759#92418—21no—
760#92418—21no—
761#92418—21no—
762#924182−1+412yes—
763#60344—611nomaximal, Sylow
764C22×C61—21no—
765C22×C61—21no—
766C22×C61—21no—
767C22×C61C24×C411yescharacteristic
768C2×D61—21no—
769C2×D61—21no—
770C2×D61—21no—
771C2×D61—21no—
772C2×D61—21no—
773C2×D61—21no—
774C2×D61—21no—
775C2×D61—21no—
776C2×D61—21no—
777C2×D61—21no—
778C2×D61—21no—
779C2×D61—21no—
780C4×C61—21no—
781C4×C61—21no—
782C4×C61—21no—
783C4×C61—21no—
784C4×C61—21no—
785C4×C61—21no—
786C4×C61—21no—
787C4×C61—21no—
788C4×C61—21no—
789C4×C61—21no—
790C4×C61—21no—
791C4×C61—21no—
792C4×C61—21no—
793C4×C61C2×2−1+411yescharacteristic
794C4×C61#58511yescharacteristic
795Dic61—21no—
796Dic61—21no—
797Dic61—21no—
798Dic61—21no—
799Dic61—21no—
800Dic61—21no—
801Dic61—21no—
802Dic61—21no—
803Dic61—21no—
804Dic61—21no—
805Dic61—21no—
806Dic61#56812yes—
807#3461—611no—
808#2995—611no—
809#2995—611no—
810#2995—611no—
811#2995—611no—
812#2994—611no—
813#2993—611no—
814#2993—611no—
815#2993—611no—
816#2991—611no—
817#2989—611no—
818#2986—611no—
819#2985—611no—
820#2985—611no—
821#2985D6111yescharacteristic, complemented
822#2984—611no—
823#2970—611no—
824#2969—611no—
825#2969—611no—
826#2969—611no—
827#2968—611no—
828#2968—611no—
829#2967—611no—
830#2967—611no—
831#2966—611no—
832#2965—611no—
833Q8×M16—611no—
834#2962—611no—
835#2961—611no—
836#2961—611no—
837#2960—611no—
838C2×C61—41no—
839C2×C61C4×2−1+411yescharacteristic
840C2×C61C2×#56811yescharacteristic
841C2×C61#357311yescharacteristic
842D61—41no—
843D61—41no—
844D61—41no—
845D61—41no—
846#544—611no—
847#542—611no—
848#542—611no—
849#542—611no—
850#542—611no—
851#541—611no—
852#541—611no—
853#541—611no—
854#541—611no—
855#539—611no—
856#539—611no—
857#539—611no—
858#539—611no—
859#537—611no—
860#536—611no—
861#536—611no—
862#533—611no—
863#533—611no—
864#533—611no—
865#533C2×D6111yescharacteristic
866#529—611no—
867#529—611no—
868#529—611no—
869#529—611no—
870#529—611no—
871#529—611no—
872#529—611no—
873#529—611no—
874C4×#41—611no—
875C4×#41—611no—
876C2×C4×Q8—611no—
877#446—611no—
878#446—611no—
879#446—611no—
880#446—611no—
881#446—611no—
882#446—611no—
883#446—611no—
884#446—611no—
885#446—611no—
886#446—611no—
887#446—611no—
888#446—611no—
889#446—611no—
890#446—611no—
891#446—611no—
892#446—611no—
893#446—611no—
894#446—611no—
895#446—611no—
896#446—611no—
897#446—611no—
898#446—611no—
899#446—611no—
900#446—611no—
901#446C2×D6111yescharacteristic
902#446C2×D6111yescharacteristic
903#446C2×D6111yescharacteristic
904#446C2×D6111yescharacteristic
905#446C2×D6111yescharacteristic
906#446C2×D6111yescharacteristic
907C8×Q8—611no—
908C8×Q8—611no—
909C8×Q8—611no—
910C8×Q8—611no—
911C8×Q8—611no—
912C8×Q8—611no—
913C8×Q8—611no—
914C8×Q8—611no—
915C8×Q8C2×D6111yescharacteristic
916C8×Q8C2×D6111yescharacteristic
917#436—611no—
918#436—611no—
919#436—611no—
920#436—611no—
921#436—611no—
922#436—611no—
923#436—611no—
924#436—611no—
925#436—611no—
926#436—611no—
927#436—611no—
928#436—611no—
929#436—611no—
930#436—611no—
931#435—611no—
932#435—611no—
933#435—611no—
934#435—611no—
935#435—611no—
936#435—611no—
937#435—611no—
938#435—611no—
939#435—611no—
940#435—611no—
941#435—611no—
942#435—611no—
943#435—611no—
944#435—611no—
945#435—611no—
946#435—611no—
947#435—611no—
948#435—611no—
949#435—611no—
950#435—611no—
951C8×D4—611no—
952C8×D4—611no—
953C8×D4—611no—
954C8×D4—611no—
955C8×D4—611no—
956C8×D4—611no—
957#433—611no—
958#433—611no—
959#433—611no—
960#433—611no—
961#433—611no—
962#433—611no—
963#433—611no—
964#433—611no—
965#433—611no—
966#433—611no—
967#433—611no—
968#433—611no—
969#433C2×D6111yescharacteristic
970#433C2×D6111yescharacteristic
971#433C2×D6111yescharacteristic
972#433C2×D6111yescharacteristic
973#432—611no—
974#432—611no—
975#432—611no—
976#432—611no—
977#432—611no—
978#432C2×D6111yescharacteristic
979#431—611no—
980#431—611no—
981#431—611no—
982#431—611no—
983#431—611no—
984#431—611no—
985#431—611no—
986#431C2×D6111yescharacteristic
987#424—611no—
988#424—611no—
989#424—611no—
990#424—611no—
991#424—611no—
992#424—611no—
993#424—611no—
994#424—611no—
995#423—611no—
996#423—611no—
997#423—611no—
998#423—611no—
999#423—611no—
1000#423—611no—
1001C2×C4⋊C8—611no—
1002#405—611no—
1003#405—611no—
1004#405—611no—
1005#405—611no—
1006#405—611no—
1007#405—611no—
1008#405—611no—
1009#405—611no—
1010C4×M16—611no—
1011C4×M16—611no—
1012C4×M16—611no—
1013C4×M16—611no—
1014C2×#97—611no—
1015C2×#97—611no—
1016C2×C4×C8—611no—
1017C61#6034411yescharacteristic, complemented, Sylow
1018C2×#41—611no—
1019C2×#41—611no—
1020C22×Q8—611no—
1021C2×M16—611no—
1022C2×M16—611no—
1023C2×M16—611no—
1024C2×M16—611no—
1025C2×M16—611no—
1026C2×M16—611no—
1027C2×M16—611no—
1028C2×M16—611no—
1029C2×M16—611no—
1030C2×M16—611no—
1031C2×M16—611no—
1032C2×M16—611no—
1033C22×C8—611no—
1034C22×C8—611no—
1035C22×C8—611no—
1036C22×C8—611no—
1037C22×C8—611no—
1038C22×C8—611no—
1039C22×C8—611no—
1040C22×C8—611no—
1041C4⋊Q8—611no—
1042C4⋊Q8—611no—
1043C4⋊Q8—611no—
1044C4⋊Q8—611no—
1045C4⋊Q8—611no—
1046C4⋊Q8—611no—
1047C4⋊Q8C4×D6111yescharacteristic
1048C4⋊Q8C4×D6111yescharacteristic
1049#126—611no—
1050#126—611no—
1051#126—611no—
1052#126—611no—
1053#126—611no—
1054#126—611no—
1055#126—611no—
1056#126—611no—
1057#126—611no—
1058#126—611no—
1059#126—611no—
1060#126—611no—
1061#126—611no—
1062#126—611no—
1063#126—611no—
1064#126—611no—
1065#125—611no—
1066#125—611no—
1067#125—611no—
1068#125—611no—
1069#125—611no—
1070#125—611no—
1071#125—611no—
1072#125—611no—
1073#125—611no—
1074#125—611no—
1075#125—611no—
1076#125—611no—
1077#125—611no—
1078#125—611no—
1079#125C4×D6111yescharacteristic
1080#125C4×D6111yescharacteristic
1081#124—611no—
1082#124—611no—
1083#124—611no—
1084#124—611no—
1085#124—611no—
1086#124—611no—
1087#124—611no—
1088#124—611no—
1089#123—611no—
1090#123—611no—
1091#123—611no—
1092#123—611no—
1093#123—611no—
1094#123—611no—
1095#123—611no—
1096#123—611no—
1097#123—611no—
1098#123—611no—
1099#123—611no—
1100#123—611no—
1101#123—611no—
1102#123—611no—
1103#123—611no—
1104#123—611no—
1105C22⋊Q8—611no—
1106C22⋊Q8—611no—
1107C22⋊Q8—611no—
1108C22⋊Q8—611no—
1109C22⋊Q8—611no—
1110C22⋊Q8—611no—
1111C22⋊Q8—611no—
1112C22⋊Q8—611no—
1113C22⋊Q8—611no—
1114C22⋊Q8—611no—
1115C22⋊Q8—611no—
1116C22⋊Q8—611no—
1117C22⋊Q8—611no—
1118C22⋊Q8—611no—
1119C22⋊Q8—611no—
1120C22⋊Q8—611no—
1121C22⋊Q8—611no—
1122C22⋊Q8—611no—
1123C22⋊Q8—611no—
1124C22⋊Q8—611no—
1125C22⋊Q8C4×D6111yescharacteristic
1126C22⋊Q8C4×D6111yescharacteristic
1127C22⋊Q8C4×D6111yescharacteristic
1128C22⋊Q8C4×D6111yescharacteristic
1129#121—611no—
1130#121—611no—
1131#121—611no—
1132#121—611no—
1133#121—611no—
1134#121—611no—
1135#121—611no—
1136#121—611no—
1137C4×Q8—611no—
1138C4×Q8—611no—
1139C4×Q8—611no—
1140C4×Q8—611no—
1141C4×Q8—611no—
1142C4×Q8—611no—
1143C4×Q8—611no—
1144C4×Q8—611no—
1145C4×Q8—611no—
1146C4×Q8—611no—
1147C4×Q8—611no—
1148C4×Q8—611no—
1149C4×Q8C22×D6111yescharacteristic
1150C4×Q8C22×D6111yescharacteristic
1151C4×Q8C22×D6111yescharacteristic
1152C4×Q8C22×D6111yescharacteristic
1153C4×D4—611no—
1154C4×D4—611no—
1155C4×D4—611no—
1156C4×D4—611no—
1157C4×D4—611no—
1158C4×D4—611no—
1159C4×D4—611no—
1160C4×D4—611no—
1161C4×D4—611no—
1162C4×D4—611no—
1163C4×D4—611no—
1164C4×D4—611no—
1165C4×D4—611no—
1166C4×D4—611no—
1167C4×D4—611no—
1168C4×D4—611no—
1169#117—611no—
1170#117—611no—
1171#117—611no—
1172#117—611no—
1173#117—611no—
1174#117—611no—
1175#117—611no—
1176#117—611no—
1177#117—611no—
1178#117—611no—
1179#117—611no—
1180#117—611no—
1181#117C22×D6111yescharacteristic
1182#117C22×D6111yescharacteristic
1183C2×C4⋊C4—611no—
1184C2×C4⋊C4—611no—
1185C2×C4⋊C4—611no—
1186C2×C42—611no—
1187C2×C42—611no—
1188C2×C42—611no—
1189C2×C42—611no—
1190C2×C42—611no—
1191C2×C42—611no—
1192C2×C42C22×D6111yescharacteristic
1193C4⋊C8—611no—
1194C4⋊C8—611no—
1195C4⋊C8—611no—
1196C4⋊C8—611no—
1197C4⋊C8—611no—
1198C4⋊C8—611no—
1199C4⋊C8—611no—
1200C4⋊C8—611no—
1201C4⋊C8—611no—
1202C4⋊C8—611no—
1203C4⋊C8—611no—
1204C4⋊C8—611no—
1205C4⋊C8—611no—
1206C4⋊C8—611no—
1207C4⋊C8—611no—
1208C4⋊C8—611no—
1209C4⋊C8—611no—
1210C4⋊C8—611no—
1211C4⋊C8—611no—
1212C4⋊C8—611no—
1213C4⋊C8—611no—
1214C4⋊C8—611no—
1215C4⋊C8—611no—
1216C4⋊C8—611no—
1217C4⋊C8—611no—
1218C4⋊C8—611no—
1219C4⋊C8—611no—
1220C4⋊C8—611no—
1221C4⋊C8C22×D6111yescharacteristic
1222C4⋊C8C22×D6111yescharacteristic
1223C4⋊C8C22×D6111yescharacteristic
1224C4⋊C8C22×D6111yescharacteristic
1225C4⋊C8C22×D6111yescharacteristic
1226C4⋊C8C22×D6111yescharacteristic
1227C4⋊C8C22×D6111yescharacteristic
1228C4⋊C8C22×D6111yescharacteristic
1229C4⋊C8C22×D6111yescharacteristic
1230C4⋊C8C22×D6111yescharacteristic
1231C4⋊C8C22×D6111yescharacteristic
1232C4⋊C8C22×D6111yescharacteristic
1233C22⋊C8—611no—
1234C22⋊C8—611no—
1235C22⋊C8—611no—
1236C22⋊C8—611no—
1237C22⋊C8—611no—
1238C22⋊C8—611no—
1239C22⋊C8—611no—
1240C22⋊C8—611no—
1241C22⋊C8—611no—
1242C22⋊C8—611no—
1243C22⋊C8—611no—
1244C22⋊C8—611no—
1245C22⋊C8—611no—
1246C22⋊C8—611no—
1247C22⋊C8—611no—
1248C22⋊C8—611no—
1249C22⋊C8C22×D6111yescharacteristic
1250C22⋊C8C22×D6111yescharacteristic
1251C22⋊C8C22×D6111yescharacteristic
1252C22⋊C8C22×D6111yescharacteristic
1253#97—611no—
1254#97—611no—
1255#97—611no—
1256#97—611no—
1257#97—611no—
1258#97—611no—
1259#97—611no—
1260#97—611no—
1261#97—611no—
1262#97—611no—
1263#97—611no—
1264#97—611no—
1265#97—611no—
1266#97—611no—
1267#97C22×D6111yescharacteristic
1268#97C22×D6111yescharacteristic
1269#97C22×D6111yescharacteristic
1270#97C22×D6111yescharacteristic
1271#97C22×D6111yescharacteristic
1272#97C22×D6111yescharacteristic
1273C4×C8—611no—
1274C4×C8—611no—
1275C4×C8—611no—
1276C4×C8—611no—
1277C4×C8—611no—
1278C4×C8—611no—
1279C4×C8—611no—
1280C4×C8—611no—
1281C4×C8—611no—
1282C4×C8—611no—
1283C4×C8—611no—
1284C4×C8—611no—
1285C4×C8—611no—
1286C4×C8—611no—
1287C4×C8C22×D6111yescharacteristic
1288C4×C8C22×D6111yescharacteristic
1289C4×C8C22×D6111yescharacteristic
1290C4×C8C22×D6111yescharacteristic
1291C4×C8C22×D6111yescharacteristic
1292C4×C8C22×D6111yescharacteristic
1293#41—2442no—
1294#41—2442no—
1295C2×Q8—611no—
1296C2×Q8—611no—
1297C2×Q8—611no—
1298C2×Q8—611no—
1299C2×Q8—611no—
1300C2×Q8—611no—
1301C2×Q8—2442no—
1302C2×Q8C2×C4×D6111yescharacteristic
1303C2×Q8C2×C4×D6111yescharacteristic
1304C2×Q8C2×C4×D6111yescharacteristic
1305C2×Q8C2×C4×D6111yescharacteristic
1306C2×D4—611no—
1307C2×D4—611no—
1308C2×D4—611no—
1309C2×D4—611no—
1310C2×D4—611no—
1311C2×D4—611no—
1312C2×D4—611no—
1313C2×D4—611no—
1314C2×D4—611no—
1315C2×D4—611no—
1316C22×C4—611no—
1317C22×C4—611no—
1318C22×C4—611no—
1319C22×C4—611no—
1320C22×C4—611no—
1321C22×C4—611no—
1322C22×C4—611no—
1323C22×C4—611no—
1324C22×C4—611no—
1325C22×C4—611no—
1326C22×C4—611no—
1327C22×C4—611no—
1328C22×C4—611no—
1329C22×C4—611no—
1330C22×C4—611no—
1331C22×C4—611no—
1332C22×C4C2×C4×D6111yescharacteristic
1333C22×C4C2×C4×D6111yescharacteristic
1334C22×C4C23×D6111yescharacteristic
1335M16—1222no—
1336M16—1222no—
1337M16—2441no—
1338M16—2441no—
1339M16—2441no—
1340M16—2441no—
1341M16—2441no—
1342M16—2441no—
1343M16—2441no—
1344M16—2441no—
1345M16—2441no—
1346M16—2441no—
1347C2×C8—611no—
1348C2×C8—611no—
1349C2×C8—611no—
1350C2×C8—611no—
1351C2×C8—611no—
1352C2×C8—611no—
1353C2×C8—611no—
1354C2×C8—611no—
1355C2×C8—1222no—
1356C2×C8—1222no—
1357C2×C8—1222no—
1358C2×C8—2441no—
1359C2×C8—2441no—
1360C2×C8—2441no—
1361C2×C8—2441no—
1362C2×C8—2441no—
1363C2×C8C23×D6111yescharacteristic
1364C2×C8C23×D6111yescharacteristic
1365C2×C8C23×D6111yescharacteristic
1366C2×C8C23×D6111yescharacteristic
1367C2×C8C23×D6111yescharacteristic
1368C2×C8C23×D6111yescharacteristic
1369C2×C8C23×D6111yescharacteristic
1370C2×C8C23×D6111yescharacteristic
1371C4⋊C4—611no—
1372C4⋊C4—611no—
1373C4⋊C4—611no—
1374C4⋊C4—611no—
1375C4⋊C4—611no—
1376C4⋊C4—611no—
1377C4⋊C4—611no—
1378C4⋊C4—611no—
1379C4⋊C4—611no—
1380C4⋊C4—611no—
1381C4⋊C4—611no—
1382C4⋊C4—611no—
1383C4⋊C4—611no—
1384C4⋊C4—611no—
1385C4⋊C4—611no—
1386C4⋊C4—611no—
1387C4⋊C4—611no—
1388C4⋊C4—611no—
1389C4⋊C4—611no—
1390C4⋊C4—611no—
1391C4⋊C4—611no—
1392C4⋊C4—611no—
1393C4⋊C4—611no—
1394C4⋊C4—611no—
1395C4⋊C4—611no—
1396C4⋊C4—611no—
1397C4⋊C4—611no—
1398C4⋊C4—611no—
1399C4⋊C4—611no—
1400C4⋊C4—611no—
1401C4⋊C4—611no—
1402C4⋊C4—611no—
1403C4⋊C4—611no—
1404C4⋊C4—611no—
1405C4⋊C4—611no—
1406C4⋊C4—611no—
1407C4⋊C4—611no—
1408C4⋊C4—611no—
1409C4⋊C4—611no—
1410C4⋊C4—611no—
1411C4⋊C4C2×C4×D6111yescharacteristic
1412C4⋊C4C2×C4×D6111yescharacteristic
1413C4⋊C4C2×C4×D6111yescharacteristic
1414C4⋊C4C2×C4×D6111yescharacteristic
1415C4⋊C4C2×C4×D6111yescharacteristic
1416C4⋊C4C2×C4×D6111yescharacteristic
1417C4⋊C4C2×C4×D6111yescharacteristic
1418C4⋊C4C2×C4×D6111yescharacteristic
1419C4⋊C4C2×C4×D6111yescharacteristic
1420C4⋊C4C2×C4×D6111yescharacteristic
1421C4⋊C4C2×C4×D6111yescharacteristic
1422C4⋊C4C2×C4×D6111yescharacteristic
1423C4⋊C4C2×C4×D6111yescharacteristic
1424C4⋊C4C2×C4×D6111yescharacteristic
1425C4⋊C4C2×C4×D6111yescharacteristic
1426C4⋊C4C2×C4×D6111yescharacteristic
1427C22⋊C4—611no—
1428C22⋊C4—611no—
1429C22⋊C4—611no—
1430C22⋊C4—611no—
1431C22⋊C4—611no—
1432C22⋊C4—611no—
1433C22⋊C4—611no—
1434C22⋊C4—611no—
1435C22⋊C4—611no—
1436C22⋊C4—611no—
1437C22⋊C4—611no—
1438C22⋊C4—611no—
1439C22⋊C4—611no—
1440C22⋊C4—611no—
1441C22⋊C4—611no—
1442C22⋊C4—611no—
1443C22⋊C4—611no—
1444C22⋊C4—611no—
1445C22⋊C4—611no—
1446C22⋊C4—611no—
1447C22⋊C4—611no—
1448C22⋊C4—611no—
1449C22⋊C4—611no—
1450C22⋊C4—611no—
1451C22⋊C4—611no—
1452C22⋊C4—611no—
1453C22⋊C4—611no—
1454C22⋊C4—611no—
1455C22⋊C4—611no—
1456C22⋊C4—611no—
1457C22⋊C4—611no—
1458C22⋊C4—611no—
1459C22⋊C4C2×C4×D6111yescharacteristic
1460C22⋊C4C2×C4×D6111yescharacteristic
1461C22⋊C4C2×C4×D6111yescharacteristic
1462C22⋊C4C2×C4×D6111yescharacteristic
1463C42—611no—
1464C42—611no—
1465C42—611no—
1466C42—611no—
1467C42—611no—
1468C42—611no—
1469C42—611no—
1470C42—611no—
1471C42—611no—
1472C42—611no—
1473C42—611no—
1474C42—611no—
1475C42—611no—
1476C42—611no—
1477C42—611no—
1478C42—611no—
1479C42C2×C4×D6111yescharacteristic
1480C42C2×C4×D6111yescharacteristic
1481C42C23×D6111yescharacteristic
1482C42C23×D6111yescharacteristic
1483C42C23×D6111yescharacteristic
1484C42C23×D6111yescharacteristic
1485C42C23×D6111yescharacteristic
1486C42C23×D6111yescharacteristic
1487C23—611no—
1488C23—611no—
1489C23—611no—
1490C23—611no—
1491C23C22×C4×D6111yescharacteristic
1492Q8—41no—
1493Q8—41no—
1494Q8—41no—
1495Q8—41no—
1496Q8—1222no—
1497Q8—1222no—
1498Q8—1222no—
1499Q8—2441no—
1500Q8—2441no—
1501Q8—2441no—
1502D4—1222no—
1503D4—2441no—
1504D4—2441no—
1505D4—2441no—
1506D4—2441no—
1507D4—2441no—
1508D4—2441no—
1509D4—2441no—
1510D4—2441no—
1511D4—2441no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—41no—
1515C2×C4—41no—
1516C2×C4—611no—
1517C2×C4—611no—
1518C2×C4—611no—
1519C2×C4—611no—
1520C2×C4—611no—
1521C2×C4—611no—
1522C2×C4—611no—
1523C2×C4—611no—
1524C2×C4—611no—
1525C2×C4—611no—
1526C2×C4—611no—
1527C2×C4—611no—
1528C2×C4—1222no—
1529C2×C4—1222no—
1530C2×C4—1222no—
1531C2×C4—1221no—
1532C2×C4—1221no—
1533C2×C4—1221no—
1534C2×C4—1221no—
1535C2×C4—1221no—
1536C2×C4—1221no—
1537C2×C4—1221no—
1538C2×C4—1221no—
1539C2×C4—2441no—
1540C2×C4—2441no—
1541C2×C4—2441no—
1542C2×C4—2441no—
1543C2×C4—2441no—
1544C2×C4—2441no—
1545C2×C4—2441no—
1546C2×C4—2441no—
1547C2×C4—2441no—
1548C2×C4C22×C4×D6111yescharacteristic
1549C2×C4C22×C4×D6111yescharacteristic
1550C2×C4C22×C4×D6111yescharacteristic
1551C2×C4C22×C4×D6111yescharacteristic
1552C2×C4C22×C4×D6111yescharacteristic
1553C2×C4C22×C4×D6111yescharacteristic
1554C2×C4C22×C4×D6111yescharacteristic
1555C2×C4C22×C4×D6111yescharacteristic
1556C2×C4C22×C4×D6111yescharacteristic
1557C2×C4C22×C4×D6111yescharacteristic
1558C2×C4C22×C4×D6111yescharacteristic
1559C2×C4C22×C4×D6111yescharacteristic
1560C2×C4C22×C4×D6111yescharacteristic
1561C2×C4C24×D6111yescharacteristic
1562C8—21no—
1563C8—21no—
1564C8—21no—
1565C8—21no—
1566C8—21no—
1567C8—21no—
1568C8—21no—
1569C8—21no—
1570C8—612no—
1571C8—1221no—
1572C8—1221no—
1573C8—1221no—
1574C8—1221no—
1575C8—1221no—
1576C8—1221no—
1577C8—1221no—
1578C22—21no—
1579C22—21no—
1580C22—21no—
1581C22—1221no—
1582C22—1221no—
1583C22—1221no—
1584C22—1221no—
1585C22—1221no—
1586C22—1221no—
1587C22—1221no—
1588C22—1221no—
1589C22—1221no—
1590C22—1221no—
1591C22—1221no—
1592C22—1221no—
1593C22C23×C4×D6111yescharacteristic
1594C4—21no—
1595C4—21no—
1596C4—21no—
1597C4—21no—
1598C4—21no—
1599C4—21no—
1600C4—21no—
1601C4—21no—
1602C4—21no—
1603C4—21no—
1604C4—21no—
1605C4—21no—
1606C4—21no—
1607C4—612no—
1608C4—1221no—
1609C4—1221no—
1610C4—1221no—
1611C4—1221no—
1612C4—1221no—
1613C4—1221no—
1614C4—1221no—
1615C4—1221no—
1616C4—1221no—
1617C4—1221no—
1618C4—1221no—
1619C42−1+4×D6111yescharacteristic
1620C4#1684059911yescharacteristic
1621C2—41no—
1622C2—2441no—
1623C2—2441no—
1624C2—2441no—
1625C2—2441no—
1626C2#2145902811yescharacteristic
1627C2#568×D6111yescharacteristic
1628C2#2146053011yescharacteristic
subgroupG/H
center, FrattiniC2×C4C24×D61
commutator, socleC22×C61C24×C4
FittingC61×#2985C2
prime radical#16840342C4
cosocleC2×C4×C61C25
hypercenter#2985D61
hypocenterC61#60344
LCSG ▷ C22×C61 ▷ C61
UCSC1 ◁ C2×C4 ◁ #2985

Complements

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

NH ≅ G/Ntype
2. #21454991C2semidirect
3. #21454988C2semidirect
4. #21454988C2semidirect
5. #21454984C2semidirect
6. #21454973C2semidirect
7. #21454967C2semidirect
8. #21454962C2semidirect
9. #21454962C2semidirect
10. #21454948C2semidirect
11. #21454935C2semidirect
12. #21454919C2semidirect
13. #21454912C2semidirect
14. #21454912C2semidirect
15. #21454905C2semidirect
16. #21454828C2semidirect
17. #21454822C2semidirect
18. #21454821C2semidirect
19. #21454821C2semidirect
20. #21454812C2semidirect
21. #21454808C2semidirect
22. #21454803C2semidirect
23. #21454802C2semidirect
24. #21454792C2semidirect
25. #21454784C2semidirect
26. #21454771C2semidirect
27. #21454764C2semidirect
28. #21454760C2semidirect
29. #21454755C2semidirect
30. #21454748C2semidirect
31. C61×#2985C2semidirect
821. #2985D61semidirect
1017. C61#60344semidirect

Maximal subgroups

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

subgroupindex
#214592502
#214549912
#214549882
#214549842
#214549732
#214549672
#214549622
#214549482
#214549352
#214549192
#214549122
#214549052
#214548282
#214548222
#214548212
#214548122
#214548082
#214548032
#214548022
#214547922
#214547842
#214547712
#214547642
#214547602
#214547552
#214547482
C61×#29852
#6034461