Finite Group Databasebeta

← #29887166

Subgroups — #29887166

Order 15616.

2214 conjugacy classes of subgroups.

The subgroup lattice has 1706 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21454102C211yesmaximal, characteristic, complemented
2#21454100C211yesmaximal, characteristic, complemented
3#21453029C211yesmaximal, characteristic, complemented
4#21453026C211yesmaximal, characteristic, complemented
5#21453026C211yesmaximal, characteristic, complemented
6#21452940C211yesmaximal, characteristic, complemented
7#21452933C211yesmaximal, characteristic, complemented
8#21452929C211yesmaximal, characteristic, complemented
9#21452928C211yesmaximal, characteristic, complemented
10#21452466C211yesmaximal, characteristic, complemented
11#21452463C211yesmaximal, characteristic, complemented
12#21452462C211yesmaximal, characteristic, complemented
13#21452459C211yesmaximal, characteristic, complemented
14#21452062C211yesmaximal, characteristic, complemented
15#21452060C211yesmaximal, characteristic, complemented
16#21452059C211yesmaximal, characteristic, complemented
17#21452058C211yesmaximal, characteristic, complemented
18#21451922C211yesmaximal, characteristic, complemented
19#21451788C211yesmaximal, characteristic, complemented
20#21449559C211yesmaximal, characteristic, complemented
21#21449557C211yesmaximal, characteristic, complemented
22#21449555C211yesmaximal, characteristic, complemented
23#21449553C211yesmaximal, characteristic, complemented
24#21449362C211yesmaximal, characteristic, complemented
25#21449354C211yesmaximal, characteristic, complemented
26#21449350C211yesmaximal, characteristic, complemented
27#21449350C211yesmaximal, characteristic, complemented
28#21448518C211yesmaximal, characteristic, complemented
29#21448516C211yesmaximal, characteristic, complemented
30#380×D61C211yesmaximal, characteristic, complemented
31C61×#2748C211yesmaximal, characteristic, complemented
32C23×C4×D61C2211yescharacteristic
33C2×#14519762C2211yescharacteristic, complemented
34C2×#14519762C2211yescharacteristic, complemented
35C2×#14519760C2211yescharacteristic, complemented
36C2×#14519759C2211yescharacteristic, complemented
37C2×#14519752C2211yescharacteristic
38C2×#14519752C2211yescharacteristic
39C2×#14519752C2211yescharacteristic
40C2×#14519752C2211yescharacteristic
41C2×#14519752C2211yescharacteristic
42C2×#14519752C2211yescharacteristic
43C2×#14519751C2211yescharacteristic
44C2×#14519751C2211yescharacteristic
45C2×#14519750C2211yescharacteristic
46C2×#14519750C2211yescharacteristic
47C2×#14519750C2211yescharacteristic
48C2×#14519750C2211yescharacteristic
49C2×#14519750C2211yescharacteristic
50C2×#14519749C2211yescharacteristic
51C2×#14519747C2211yescharacteristic
52C2×#14519747C2211yescharacteristic
53C2×#14519747C2211yescharacteristic
54C2×#14519745C2211yescharacteristic
55C2×C4×D244C2211yescharacteristic
56C2×#14519739C2211yescharacteristic
57C2×#14519739C2211yescharacteristic
58C2×C4×C22⋊D61C2211yescharacteristic
59C2×C4⋊C4×D61C2211yescharacteristic
60C2×C4⋊C4×D61C2211yescharacteristic
61C2×C22⋊C4×D61C2211yescharacteristic
62C2×C22⋊C4×D61C2211yescharacteristic
63#16839704C2211yescharacteristic, complemented
64#16839704C2211yescharacteristic, complemented
65#16839703C2211yescharacteristic, complemented
66#16839700C2211yescharacteristic, complemented
67#16839699C2211yescharacteristic, complemented
68#16839697C2211yescharacteristic, complemented
69#16839697C2211yescharacteristic, complemented
70#16839697C2211yescharacteristic, complemented
71#16839697C2211yescharacteristic, complemented
72#16839697C2211yescharacteristic, complemented
73#16839696C2211yescharacteristic, complemented
74#16839695C2211yescharacteristic, complemented
75#16839693C2211yescharacteristic, complemented
76#16839693C2211yescharacteristic, complemented
77#16839692C2211yescharacteristic, complemented
78#16839692C2211yescharacteristic, complemented
79#16839691C2211yescharacteristic, complemented
80#16839690C2211yescharacteristic, complemented
81#16839689C2211yescharacteristic, complemented
82#16839688C2211yescharacteristic, complemented
83#16839685C2211yescharacteristic
84#16839685C2211yescharacteristic
85#16839680C2211yescharacteristic
86#16839680C2211yescharacteristic
87#16839680C2211yescharacteristic
88#16839680C2211yescharacteristic, complemented
89#16839679C2211yescharacteristic
90#16839679C2211yescharacteristic
91#16839679C2211yescharacteristic
92#16839679C2211yescharacteristic, complemented
93#16839678C2211yescharacteristic
94#16839678C2211yescharacteristic, complemented
95#16839677C2211yescharacteristic
96#16839677C2211yescharacteristic, complemented
97#16839672C2211yescharacteristic, complemented
98#16839671C2211yescharacteristic
99#16839671C2211yescharacteristic
100#16839671C2211yescharacteristic, complemented
101#16839671C2211yescharacteristic, complemented
102#16839671C2211yescharacteristic, complemented
103#16839670C2211yescharacteristic
104#16839670C2211yescharacteristic
105#16839662C2211yescharacteristic
106#16839662C2211yescharacteristic
107#16839662C2211yescharacteristic
108#16839655C2211yescharacteristic, complemented
109#16839654C2211yescharacteristic, complemented
110#16839654C2211yescharacteristic, complemented
111#16839653C2211yescharacteristic
112#16839653C2211yescharacteristic, complemented
113#16839653C2211yescharacteristic, complemented
114#16839652C2211yescharacteristic
115#16839652C2211yescharacteristic
116#16839652C2211yescharacteristic, complemented
117#16839651C2211yescharacteristic
118#16839651C2211yescharacteristic, complemented
119#16839650C2211yescharacteristic, complemented
120#16839648C2211yescharacteristic, complemented
121#16839647C2211yescharacteristic, complemented
122#16839644C2211yescharacteristic, complemented
123#16839644C2211yescharacteristic, complemented
124#16839643C2211yescharacteristic, complemented
125#16839643C2211yescharacteristic, complemented
126#16839641C2211yescharacteristic
127#16839641C2211yescharacteristic, complemented
128#16839640C2211yescharacteristic
129#16839640C2211yescharacteristic
130#16839640C2211yescharacteristic
131#16839640C2211yescharacteristic
132#16839640C2211yescharacteristic
133#16839640C2211yescharacteristic
134#16839640C2211yescharacteristic
135#16839640C2211yescharacteristic
136#16839640C2211yescharacteristic
137#16839640C2211yescharacteristic, complemented
138#16839640C2211yescharacteristic, complemented
139#16839639C2211yescharacteristic
140#16839639C2211yescharacteristic
141#16839638C2211yescharacteristic
142#16839638C2211yescharacteristic
143#16839638C2211yescharacteristic
144#16839638C2211yescharacteristic
145#16839638C2211yescharacteristic
146#16839638C2211yescharacteristic
147#16839638C2211yescharacteristic, complemented
148#16839636C2211yescharacteristic
149#16839636C2211yescharacteristic, complemented
150#16839636C2211yescharacteristic, complemented
151#16839636C2211yescharacteristic, complemented
152#16839633C2211yescharacteristic
153#16839633C2211yescharacteristic
154#16839633C2211yescharacteristic
155#16839633C2211yescharacteristic, complemented
156#16839633C2211yescharacteristic, complemented
157#16839633C2211yescharacteristic, complemented
158#16839622C2211yescharacteristic
159#16839621C2211yescharacteristic
160#16839621C2211yescharacteristic
161#16839621C2211yescharacteristic
162#16839621C2211yescharacteristic
163#16839620C2211yescharacteristic
164#16839620C2211yescharacteristic
165#16839620C2211yescharacteristic
166#16839619C2211yescharacteristic
167#16839619C2211yescharacteristic
168#16839619C2211yescharacteristic
169#16839619C2211yescharacteristic
170#95×D61C2211yescharacteristic
171#95×D61C2211yescharacteristic
172C61×#399C2211yescharacteristic, complemented
173C61×#399C2211yescharacteristic, complemented
174C61×#398C2211yescharacteristic, complemented
175C61×#398C2211yescharacteristic, complemented
176C61×#396C2211yescharacteristic
177C61×#396C2211yescharacteristic
178C61×#390C2211yescharacteristic
179C61×#387C2211yescharacteristic, complemented
180C61×#387C2211yescharacteristic, complemented
181C61×#386C2211yescharacteristic
182C61×#386C2211yescharacteristic
183C61×#385C2211yescharacteristic, complemented
184C61×#385C2211yescharacteristic, complemented
185C61×#380C2211yescharacteristic
186C61×#380C2211yescharacteristic
187C24×D61C2311yescharacteristic
188C22×D244C2311yescharacteristic
189C22×D244C2311yescharacteristic
190C22×D244C2311yescharacteristic
191C22×D244C2311yescharacteristic
192C22×D244C2311yescharacteristic
193C22×D244C2311yescharacteristic
194C22×D244C2311yescharacteristic
195C22×D244C2311yescharacteristic
196C22×D244C2311yescharacteristic
197C22×C22⋊D61C2311yescharacteristic
198C22×C22⋊D61C2311yescharacteristic
199C22×C22⋊D61C2311yescharacteristic
200C22×C22⋊D61C2311yescharacteristic
201C22×C22⋊D61C2311yescharacteristic
202C22×C22⋊D61C2311yescharacteristic
203C22×C22⋊D61C2311yescharacteristic
204C22×C22⋊D61C2311yescharacteristic
205C23×Dic61C2311yescharacteristic
206C22×C4×D61—24no—
207C22×C4×D61—42no—
208C22×C4×D61—42no—
209C22×C4×D61C2311yescharacteristic
210C22×C4×D61C2311yescharacteristic
211C22×C4×D61C2311yescharacteristic
212C22×C4×D61C2311yescharacteristic
213C22×C4×D61C2311yescharacteristic
214C22×C4×D61C2311yescharacteristic
215C22×C4×D61C2311yescharacteristic
216C22×C4×D61C2311yescharacteristic
217C22×C4×D61C2311yescharacteristic
218C22×C4×D61C2311yescharacteristic
219C22×C4×D61C2311yescharacteristic
220#14519762—42no—
221#14519762—42no—
222#14519760—42no—
223#14519759—42no—
224#14519752—24no—
225#14519752—42no—
226#14519752—42no—
227#14519752—42no—
228#14519752—42no—
229#14519752—42no—
230#14519751—42no—
231#14519751—42no—
232#14519750—24no—
233#14519750—42no—
234#14519750—42no—
235#14519750—42no—
236#14519750—42no—
237#14519749—42no—
238#14519747—42no—
239#14519747—42no—
240#14519747—42no—
241#14519745—42no—
242C4×D244—42no—
243#14519739—42no—
244#14519739—42no—
245C4×C22⋊D61—42no—
246C2×C4⋊Dic61C2311yescharacteristic
247C2×C4⋊Dic61C2311yescharacteristic
248C2×C4⋊Dic61C2311yescharacteristic
249C2×C4⋊Dic61C2311yescharacteristic
250C2×C4⋊Dic61C2311yescharacteristic
251C2×#11758196C2311yescharacteristic
252C2×#11758196C2311yescharacteristic
253C2×#11758196C2311yescharacteristic
254C2×#11758196C2311yescharacteristic
255C2×#11758196C2311yescharacteristic
256C2×#11758196C2311yescharacteristic
257C2×#11758196C2311yescharacteristic
258C2×#11758196C2311yescharacteristic
259C2×#11758196C2311yescharacteristic
260C2×#11758196C2311yescharacteristic
261C2×#11758196C2311yescharacteristic
262C2×#11758196C2311yescharacteristic
263C2×#11758196C2311yescharacteristic
264C2×#11758196C2311yescharacteristic
265C4⋊C4×D61—42no—
266C4⋊C4×D61—42no—
267C2×C22⋊Dic61C2311yescharacteristic
268C2×C22⋊Dic61C2311yescharacteristic
269C2×C22⋊Dic61C2311yescharacteristic
270C2×C22⋊Dic61C2311yescharacteristic
271C2×C22⋊Dic61C2311yescharacteristic
272C2×C22⋊Dic61C2311yescharacteristic
273C2×#11758198C2311yescharacteristic
274C2×#11758198C2311yescharacteristic
275C2×#11758198C2311yescharacteristic
276C2×#11758198C2311yescharacteristic
277C2×#11758198C2311yescharacteristic
278C2×#11758198C2311yescharacteristic
279C2×#11758198C2311yescharacteristic
280C2×#11758198C2311yescharacteristic
281C2×#11758198C2311yescharacteristic
282C2×#11758198C2311yescharacteristic
283C2×#11758198C2311yescharacteristic
284C2×#11758198C2311yescharacteristic
285C2×#11758198C2311yescharacteristic
286C2×#11758198C2311yescharacteristic
287C2×#11758198C2311yescharacteristic
288C2×#11758198C2311yescharacteristic
289C2×#11758198C2311yescharacteristic
290C2×#11758198C2311yescharacteristic
291C2×#11758198C2311yescharacteristic
292C2×#11758198C2311yescharacteristic
293C2×#11758198C2311yescharacteristic
294C2×#11758198C2311yescharacteristic
295C2×#11758198C2311yescharacteristic
296C2×#11758198C2311yescharacteristic
297C2×#11758198C2311yescharacteristic
298C2×#11758198C2311yescharacteristic
299C2×#11758198C2311yescharacteristic
300C2×#11758198C2311yescharacteristic
301C2×#11758198C2311yescharacteristic
302C2×#11758198C2311yescharacteristic
303C2×#11758198C2311yescharacteristic
304C2×#11758198C2311yescharacteristic
305C2×#11758198C2311yescharacteristic
306C2×#11758198C2311yescharacteristic
307C2×#11758198C2311yescharacteristic
308C2×#11758198C2311yescharacteristic
309C22⋊C4×D61—42no—
310C22⋊C4×D61—42no—
311C2×C4×Dic61C2311yescharacteristic
312C2×C4×Dic61C2311yescharacteristic
313C2×C4×Dic61C2311yescharacteristic
314#14519684C2311yescharacteristic
315#14519684C2311yescharacteristic
316#14519684C2311yescharacteristic
317#14519684C2311yescharacteristic
318#14519684C2311yescharacteristic
319#14519684C2311yescharacteristic
320#14519684C2311yescharacteristic
321#14519684C2311yescharacteristic
322#14519684C2311yescharacteristic
323#14519684C2311yescharacteristic
324#14519684C2311yescharacteristic
325#14519684C2311yescharacteristic
326#14519684C2311yescharacteristic
327#14519684C2311yescharacteristic
328#14519684C2311yescharacteristic
329#14519684C2311yescharacteristic
330#14519684C2311yescharacteristic
331#14519684C2311yescharacteristic
332#14519684C2311yescharacteristic
333#14519684C2311yescharacteristic
334#14519684C2311yescharacteristic
335#14519684C2311yescharacteristic
336#14519684C2311yescharacteristic
337#14519684C2311yescharacteristic
338#14519684C2311yescharacteristic
339#14519684C2311yescharacteristic
340C22×D4×C61C2311yescharacteristic
341C23×C4×C61C2311yescharacteristic
342C23×C4×C61C2311yescharacteristic
343C2×C4⋊C4×C61C2311yescharacteristic
344C2×C4⋊C4×C61C2311yescharacteristic
345C2×C4⋊C4×C61C2311yescharacteristic
346C2×C4⋊C4×C61C2311yescharacteristic
347C2×C4⋊C4×C61C2311yescharacteristic
348C2×C4⋊C4×C61C2311yescharacteristic
349C2×C4⋊C4×C61C2311yescharacteristic
350C2×C4⋊C4×C61C2311yescharacteristic
351C2×C4⋊C4×C61C2311yescharacteristic
352C2×C4⋊C4×C61C2311yescharacteristic
353C2×C4⋊C4×C61C2311yescharacteristic
354C2×C22⋊C4×C61C2311yescharacteristic
355C2×C22⋊C4×C61C2311yescharacteristic
356C2×C22⋊C4×C61C2311yescharacteristic
357C2×C22⋊C4×C61C2311yescharacteristic
358C2×C22⋊C4×C61C2311yescharacteristic
359C2×C22⋊C4×C61C2311yescharacteristic
360C2×C22⋊C4×C61C2311yescharacteristic
361C2×C22⋊C4×C61C2311yescharacteristic
362C2×C22⋊C4×C61C2311yescharacteristic
363C2×C22⋊C4×C61C2311yescharacteristic
364C2×C42×C61C2311yescharacteristic
365#95×C61C2311yescharacteristic
366#95×C61C2311yescharacteristic
367#95×C61C2311yescharacteristic
368#95×C61C2311yescharacteristic
369#95×C61C2311yescharacteristic
370#95×C61C2311yescharacteristic
371#95×C61C2311yescharacteristic
372#95×C61C2311yescharacteristic
373#95×C61C2311yescharacteristic
374#95×C61C2311yescharacteristic
375C24×C61C2411yescharacteristic
376C24×C61C2411yescharacteristic
377C23×D61—22no—
378C23×D61—22no—
379C23×D61—22no—
380C23×D61—22no—
381C23×D61—22no—
382C23×D61—41no—
383C23×D61—41no—
384C23×D61C2411yescharacteristic
385C23×D61C2411yescharacteristic
386C23×D61C2411yescharacteristic
387C23×D61C2411yescharacteristic
388C23×D61C2411yescharacteristic
389C2×D4×C61—22no—
390C2×D4×C61—41no—
391C2×D4×C61—41no—
392C22×C4×C61—22no—
393C22×C4×C61—22no—
394C22×C4×C61—41no—
395C22×C4×C61—41no—
396C22×C4×C61—41no—
397C22×C4×C61—41no—
398C22×C4×C61C2411yescharacteristic
399C22×C4×C61C2411yescharacteristic
400C22×C4×C61C2411yescharacteristic
401C22×C4×C61C2411yescharacteristic
402C22×C4×C61C2411yescharacteristic
403C22×C4×C61C2411yescharacteristic
404C22×C4×C61C2411yescharacteristic
405C22×C4×C61C2411yescharacteristic
406C22×C4×C61C2411yescharacteristic
407C22×C4×C61C2411yescharacteristic
408C22×C4×C61C2411yescharacteristic
409C22×C4×C61C2411yescharacteristic
410C22×C4×C61C2411yescharacteristic
411C2×C22⋊D61—22no—
412C2×C22⋊D61—22no—
413C2×C22⋊D61—22no—
414C2×C22⋊D61—22no—
415C2×C22⋊D61—22no—
416C2×C22⋊D61—22no—
417C2×C22⋊D61—22no—
418C2×C22⋊D61—22no—
419C2×C22⋊D61—41no—
420C2×C22⋊D61—41no—
421C2×C22⋊D61—41no—
422C2×C22⋊D61—41no—
423C2×C22⋊D61—41no—
424C2×C22⋊D61—41no—
425C2×C22⋊D61—41no—
426C2×C22⋊D61—41no—
427C2×C22⋊D61—41no—
428C2×C22⋊D61—41no—
429C2×C22⋊D61—41no—
430C2×C22⋊D61—41no—
431C2×C22⋊D61—41no—
432C2×C22⋊D61—41no—
433C2×C22⋊D61—41no—
434C2×C22⋊D61—41no—
435C22×Dic61—22no—
436C22×Dic61—22no—
437C22×Dic61—41no—
438C22×Dic61C2411yescharacteristic
439C22×Dic61C2411yescharacteristic
440C22×Dic61C2411yescharacteristic
441C22×Dic61C2411yescharacteristic
442C22×Dic61C2411yescharacteristic
443C22×Dic61C2411yescharacteristic
444C22×Dic61C2411yescharacteristic
445C22×Dic61C2411yescharacteristic
446C22×Dic61C2411yescharacteristic
447C22×Dic61C2411yescharacteristic
448C22×Dic61C2411yescharacteristic
449C2×D244—22no—
450C2×D244—22no—
451C2×D244—22no—
452C2×D244—22no—
453C2×D244—22no—
454C2×D244—22no—
455C2×D244—22no—
456C2×D244—22no—
457C2×D244—22no—
458C2×D244—22no—
459C2×D244—22no—
460C2×D244—22no—
461C2×D244—22no—
462C2×D244—41no—
463C2×D244—41no—
464C2×D244—41no—
465C2×D244—41no—
466C2×D244—41no—
467C2×D244—41no—
468C2×D244—41no—
469C2×D244—41no—
470C2×D244—41no—
471C2×D244—41no—
472C2×D244—41no—
473C2×D244—41no—
474C2×D244—41no—
475C2×D244—41no—
476C2×C4×D61—22no—
477C2×C4×D61—22no—
478C2×C4×D61—22no—
479C2×C4×D61—22no—
480C2×C4×D61—22no—
481C2×C4×D61—22no—
482C2×C4×D61—22no—
483C2×C4×D61—22no—
484C2×C4×D61—22no—
485C2×C4×D61—22no—
486C2×C4×D61—22no—
487C2×C4×D61—416no—
488C2×C4×D61—41no—
489C2×C4×D61—41no—
490C2×C4×D61—41no—
491C2×C4×D61—41no—
492C2×C4×D61—41no—
493C2×C4×D61—41no—
494C2×C4×D61—41no—
495C2×C4×D61—41no—
496C2×C4×D61—41no—
497C2×C4×D61—41no—
498C2×C4×D61—41no—
499C2×C4×D61—41no—
500C2×C4×D61—41no—
501C2×C4×D61—41no—
502C2×C4×D61—41no—
503C2×C4×D61—41no—
504C2×C4×D61—41no—
505C2×C4×D61—41no—
506C2×C4×D61—41no—
507C2×C4×D61—41no—
508C2×C4×D61—41no—
509C2×C4×D61#4114yes—
510C4⋊C4×C61—22no—
511C4⋊C4×C61—22no—
512C4⋊C4×C61—41no—
513C4⋊C4×C61—41no—
514C4⋊C4×C61—41no—
515C4⋊C4×C61—41no—
516C4⋊C4×C61—41no—
517C4⋊C4×C61—41no—
518C4⋊C4×C61—41no—
519C4⋊C4×C61—41no—
520C4⋊C4×C61—41no—
521C22⋊C4×C61—22no—
522C22⋊C4×C61—22no—
523C22⋊C4×C61—41no—
524C22⋊C4×C61—41no—
525C22⋊C4×C61—41no—
526C22⋊C4×C61—41no—
527C22⋊C4×C61—41no—
528C22⋊C4×C61—41no—
529C22⋊C4×C61—41no—
530C22⋊C4×C61—41no—
531C42×C61—41no—
532C22⋊Dic61—22no—
533C22⋊Dic61—41no—
534C22⋊Dic61—41no—
535C22⋊Dic61—41no—
536C22⋊Dic61—41no—
537C22⋊Dic61—41no—
538#11758198—22no—
539#11758198—22no—
540#11758198—22no—
541#11758198—22no—
542#11758198—22no—
543#11758198—22no—
544#11758198—22no—
545#11758198—22no—
546#11758198—22no—
547#11758198—22no—
548#11758198—22no—
549#11758198—22no—
550#11758198—22no—
551#11758198—22no—
552#11758198—22no—
553#11758198—22no—
554#11758198—22no—
555#11758198—41no—
556#11758198—41no—
557#11758198—41no—
558#11758198—41no—
559#11758198—41no—
560#11758198—41no—
561#11758198—41no—
562#11758198—41no—
563#11758198—41no—
564#11758198—41no—
565#11758198—41no—
566#11758198—41no—
567#11758198—41no—
568#11758198—41no—
569#11758198—41no—
570#11758198—41no—
571#11758198—41no—
572#11758198—41no—
573#11758198—41no—
574C4⋊Dic61—22no—
575C4⋊Dic61—41no—
576C4⋊Dic61—41no—
577C4⋊Dic61—41no—
578C4⋊Dic61—41no—
579#11758196—22no—
580#11758196—22no—
581#11758196—22no—
582#11758196—41no—
583#11758196—41no—
584#11758196—41no—
585#11758196—41no—
586#11758196—41no—
587#11758196—41no—
588#11758196—41no—
589#11758196—41no—
590#11758196—41no—
591#11758196—41no—
592#11758196—41no—
593C4×Dic61—41no—
594C4×Dic61—41no—
595C4×Dic61—41no—
596C23×C61—21no—
597C23×C61—21no—
598C23×C61—21no—
599C23×C61—21no—
600C23×C61—21no—
601C23×C61—21no—
602C23×C61—21no—
603C23×C61—21no—
604C23×C61—21no—
605C23×C61—21no—
606C23×C61—21no—
607C23×C61—21no—
608C23×C61—21no—
609C23×C612−1+412yes—
610C23×C61C2511yescharacteristic
611C22×D61—21no—
612C22×D61—21no—
613C22×D61—21no—
614C22×D61—21no—
615C22×D61—28no—
616C22×D61—21no—
617C22×D61—21no—
618C22×D61—21no—
619C22×D61—21no—
620C22×D61—21no—
621C22×D61—21no—
622C22×D61—21no—
623C22×D61—21no—
624C22×D61—21no—
625C22×D61—21no—
626C22×D61—21no—
627C22×D61—21no—
628C22×D61—21no—
629C22×D61—21no—
630C22×D61—21no—
631C22×D61—21no—
632C22×D61—21no—
633C22×D61—21no—
634C22×D61—21no—
635C22×D61—21no—
636C22×D61—21no—
637C22×D61—21no—
638C22×D61—21no—
639C22×D61—21no—
640C22×D61—21no—
641C22×D61—21no—
642C22×D61—21no—
643C22×D61—44no—
644C22×D61—44no—
645C22×D61—44no—
646C22×D61—44no—
647C22×D61—44no—
648C22×D61—44no—
649C22×D61C2×#4112yes—
650C22×D61H(5,𝔽2)12yes—
651C22×D61H(5,𝔽2)12yes—
652C22×D61H(5,𝔽2)12yes—
653D4×C61—82no—
654C2×C4×C61—21no—
655C2×C4×C61—21no—
656C2×C4×C61—21no—
657C2×C4×C61—21no—
658C2×C4×C61—21no—
659C2×C4×C61—21no—
660C2×C4×C61—21no—
661C2×C4×C61—21no—
662C2×C4×C61—21no—
663C2×C4×C61—21no—
664C2×C4×C61—21no—
665C2×C4×C61—21no—
666C2×C4×C61—21no—
667C2×C4×C61—21no—
668C2×C4×C61—21no—
669C2×C4×C61—21no—
670C2×C4×C61—21no—
671C2×C4×C61—21no—
672C2×C4×C61—21no—
673C2×C4×C61—21no—
674C2×C4×C61—21no—
675C2×C4×C61—21no—
676C2×C4×C61—21no—
677C2×C4×C61—21no—
678C2×C4×C61—21no—
679C2×C4×C61—21no—
680C2×C4×C61—21no—
681C2×C4×C61—21no—
682C2×C4×C61—21no—
683C2×C4×C61—21no—
684C2×C4×C61—21no—
685C2×C4×C61—21no—
686C2×C4×C61—21no—
687C2×C4×C61—21no—
688C2×C4×C61—21no—
689C2×C4×C61—21no—
690C2×C4×C61—21no—
691C2×C4×C61—44no—
692C2×C4×C61—82no—
693C2×C4×C61C2×#4112yes—
694C2×C4×C61H(5,𝔽2)12yes—
695C22⋊D61—44no—
696C22⋊D61—82no—
697C22⋊D61—82no—
698C22⋊D61—82no—
699C22⋊D61—82no—
700C22⋊D61—82no—
701C22⋊D61—82no—
702C22⋊D61—82no—
703C2×Dic61—21no—
704C2×Dic61—21no—
705C2×Dic61—21no—
706C2×Dic61—21no—
707C2×Dic61—21no—
708C2×Dic61—21no—
709C2×Dic61—21no—
710C2×Dic61—21no—
711C2×Dic61—21no—
712C2×Dic61—21no—
713C2×Dic61—21no—
714C2×Dic61—21no—
715C2×Dic61—21no—
716C2×Dic61—21no—
717C2×Dic61—21no—
718C2×Dic61—21no—
719C2×Dic61—21no—
720C2×Dic61—21no—
721C2×Dic61—21no—
722C2×Dic61—21no—
723C2×Dic61—21no—
724C2×Dic61—21no—
725C2×Dic61—21no—
726C2×Dic61—21no—
727C2×Dic61—21no—
728C2×Dic61—21no—
729C2×Dic61—21no—
730C2×Dic61—21no—
731C2×Dic61—21no—
732C2×Dic61—21no—
733C2×Dic61—21no—
734C2×Dic61—44no—
735C2×Dic61C2×#4112yes—
736C2×Dic61H(5,𝔽2)12yes—
737D244—44no—
738D244—44no—
739D244—44no—
740D244—82no—
741D244—82no—
742D244—82no—
743D244—82no—
744D244—82no—
745D244—82no—
746C4×D61—28no—
747C4×D61—44no—
748C4×D61—44no—
749C4×D61—44no—
750C4×D61—82no—
751C4×D61—82no—
752C4×D61—82no—
753C4×D61—82no—
754C4×D61—82no—
755C4×D61—82no—
756C4×D61—82no—
757#36727—611nomaximal, Sylow
758C22×C61—22no—
759C22×C61—22no—
760C22×C61—22no—
761C22×C61—41no—
762C22×C61—41no—
763C22×C61—41no—
764C22×C61—41no—
765C22×C61—41no—
766C22×C61—41no—
767C22×C61—41no—
768C22×C61—41no—
769C22×C61—41no—
770C22×C61—41no—
771C22×C61—41no—
772C22×C61C22×#4111yescharacteristic
773C22×C61C2×H(5,𝔽2)11yescharacteristic
774C22×C61C2×H(5,𝔽2)11yescharacteristic
775C22×C61C2×H(5,𝔽2)11yescharacteristic
776C22×C61C2×H(5,𝔽2)11yescharacteristic
777C22×C61C2×H(5,𝔽2)11yescharacteristic
778C22×C61C2×2−1+411yescharacteristic
779C2×D61—22no—
780C2×D61—22no—
781C2×D61—22no—
782C2×D61—22no—
783C2×D61—22no—
784C2×D61—22no—
785C2×D61—22no—
786C2×D61—22no—
787C2×D61—22no—
788C2×D61—416no—
789C2×D61—41no—
790C2×D61—41no—
791C2×D61—41no—
792C2×D61—41no—
793C2×D61—41no—
794C2×D61—41no—
795C2×D61—41no—
796C2×D61—41no—
797C2×D61—41no—
798C2×D61—41no—
799C2×D61—41no—
800C2×D61—41no—
801C2×D61—41no—
802C2×D61—41no—
803C2×D61—41no—
804C2×D61—41no—
805C2×D61—41no—
806C2×D61—41no—
807C2×D61—41no—
808C2×D61—41no—
809C2×D61—41no—
810C2×D61—41no—
811C2×D61—41no—
812C2×D61—41no—
813C2×D61—41no—
814C2×D61#54014yes—
815C4×C61—22no—
816C4×C61—22no—
817C4×C61—41no—
818C4×C61—41no—
819C4×C61—41no—
820C4×C61—41no—
821C4×C61—41no—
822C4×C61—41no—
823C4×C61—41no—
824C4×C61—41no—
825C4×C61—41no—
826C4×C61—41no—
827C4×C61—41no—
828Dic61—22no—
829Dic61—22no—
830Dic61—41no—
831Dic61—41no—
832Dic61—41no—
833Dic61—41no—
834Dic61—41no—
835Dic61—41no—
836Dic61—41no—
837Dic61—41no—
838Dic61—41no—
839#2847—611no—
840#2847—611no—
841#2748—611no—
842#2748—611no—
843#2748—611no—
844#2748D6111yescharacteristic, complemented
845#2741—611no—
846#2741—611no—
847#2741—611no—
848#2741—611no—
849#2703—611no—
850#2703—611no—
851#2703—611no—
852#2703—611no—
853#2671—611no—
854#2671—611no—
855#2671—611no—
856#2671—611no—
857#2656—611no—
858#2646—611no—
859#2443—611no—
860#2443—611no—
861#2443—611no—
862#2443—611no—
863#2424—611no—
864#2424—611no—
865#2424—611no—
866#2424—611no—
867#2325—611no—
868#2325—611no—
869C2×#380—611no—
870C2×C61—42no—
871C2×C61—81no—
872C2×C61C2×#54011yescharacteristic
873C2×C61#349011yescharacteristic
874C2×C61#349211yescharacteristic
875C2×C61#353611yescharacteristic
876C2×C61#353611yescharacteristic
877C2×C61#353711yescharacteristic
878C2×C61#353711yescharacteristic
879D61—24no—
880D61—42no—
881D61—81no—
882D61—81no—
883D61—81no—
884C24×C4—611no—
885C2×#123—611no—
886C2×#123—611no—
887C2×#123—611no—
888C2×#123—611no—
889C2×#121—611no—
890C2×#121—611no—
891C2×#121—611no—
892C2×#121—611no—
893C2×#121—611no—
894C2×#121—611no—
895C2×#121—611no—
896C2×#121—611no—
897C2×#121—611no—
898C2×#121—611no—
899C2×#121—611no—
900C2×#121—611no—
901C2×#121—611no—
902C2×#121—611no—
903C2×#120—611no—
904C2×#120—611no—
905C2×#120—611no—
906C2×#120—611no—
907C2×C4×D4—611no—
908C2×C4×D4—611no—
909C2×C4×D4—611no—
910C2×C4×D4—611no—
911C22×C4⋊C4—611no—
912C22×C4⋊C4—611no—
913C22×C22⋊C4—611no—
914C22×C22⋊C4—611no—
915#400—611no—
916#400—611no—
917#400—611no—
918#400—611no—
919#399—611no—
920#399—611no—
921#399—611no—
922#399—611no—
923#399—611no—
924#399—611no—
925#399C2×D6111yescharacteristic, complemented
926#399C2×D6111yescharacteristic, complemented
927#398—611no—
928#398—611no—
929#398—611no—
930#398—611no—
931#398—611no—
932#398—611no—
933#398C2×D6111yescharacteristic, complemented
934#398C2×D6111yescharacteristic, complemented
935#397—611no—
936#397—611no—
937#397—611no—
938#397—611no—
939#396—611no—
940#396—611no—
941#396C2×D6111yescharacteristic
942#396C2×D6111yescharacteristic
943#394—611no—
944#394—611no—
945#394—611no—
946#394—611no—
947#394—611no—
948#394—611no—
949#394—611no—
950#394—611no—
951#394—611no—
952#394—611no—
953#394—611no—
954#394—611no—
955#392—611no—
956#392—611no—
957#392—611no—
958#392—611no—
959#392—611no—
960#392—611no—
961#392—611no—
962#392—611no—
963#390—611no—
964#390—611no—
965#390—611no—
966#390C2×D6111yescharacteristic
967#388—611no—
968#388—611no—
969#388—611no—
970#388—611no—
971#388—611no—
972#388—611no—
973#388—611no—
974#388—611no—
975#388—611no—
976#388—611no—
977#388—611no—
978#388—611no—
979#387—611no—
980#387—611no—
981#387—611no—
982#387—611no—
983#387—611no—
984#387—611no—
985#387C2×D6111yescharacteristic, complemented
986#387C2×D6111yescharacteristic, complemented
987#386—611no—
988#386—611no—
989#386—611no—
990#386—611no—
991#386—611no—
992#386—611no—
993#386—611no—
994#386—611no—
995#386—611no—
996#386—611no—
997#386—611no—
998#386—611no—
999#386—611no—
1000#386—611no—
1001#386—611no—
1002#386—611no—
1003#386—611no—
1004#386—611no—
1005#386—611no—
1006#386—611no—
1007#386—611no—
1008#386—611no—
1009#386C2×D6111yescharacteristic
1010#386C2×D6111yescharacteristic
1011#385—611no—
1012#385—611no—
1013#385—611no—
1014#385—611no—
1015#385—611no—
1016#385—611no—
1017#385—611no—
1018#385—611no—
1019#385—611no—
1020#385—611no—
1021#385C2×D6111yescharacteristic, complemented
1022#385C2×D6111yescharacteristic, complemented
1023#380—611no—
1024#380—611no—
1025#380—611no—
1026#380—611no—
1027#380—611no—
1028#380—611no—
1029#380—611no—
1030#380—611no—
1031#380—611no—
1032#380—611no—
1033#380—611no—
1034#380—611no—
1035#380C2×D6111yescharacteristic
1036#380C2×D6111yescharacteristic
1037C2×#95—611no—
1038C2×#95—611no—
1039C61#3672711yescharacteristic, complemented, Sylow
1040C25—611no—
1041C22×D4—611no—
1042C22×D4—611no—
1043C22×D4—611no—
1044C22×D4—611no—
1045C22×D4—611no—
1046C22×D4—611no—
1047C22×D4—611no—
1048C22×D4—611no—
1049C22×D4—611no—
1050C22×D4—611no—
1051C22×D4—611no—
1052C22×D4—611no—
1053C22×D4—611no—
1054C22×D4—611no—
1055C22×D4—611no—
1056C22×D4—611no—
1057C22×D4—611no—
1058C22×D4C22×D6111yescharacteristic
1059C23×C4—611no—
1060C23×C4—611no—
1061C23×C4—611no—
1062C23×C4—611no—
1063C23×C4—611no—
1064C23×C4—611no—
1065C23×C4—611no—
1066C23×C4—611no—
1067C23×C4—611no—
1068C23×C4—611no—
1069C23×C4—611no—
1070C23×C4—611no—
1071C23×C4—1224no—
1072C23×C4—2442no—
1073C23×C4—2442no—
1074C23×C4C22×D6111yescharacteristic
1075C23×C4C22×D6111yescharacteristic
1076#123—2442no—
1077#123—2442no—
1078#123—2442no—
1079#123—2442no—
1080#121—1224no—
1081#121—1224no—
1082#121—2442no—
1083#121—2442no—
1084#121—2442no—
1085#121—2442no—
1086#121—2442no—
1087#121—2442no—
1088#121—2442no—
1089#121—2442no—
1090#121—2442no—
1091#121—2442no—
1092#121—2442no—
1093#121—2442no—
1094#120—2442no—
1095#120—2442no—
1096#120—2442no—
1097#120—2442no—
1098C4×D4—2442no—
1099C4×D4—2442no—
1100C4×D4—2442no—
1101C4×D4—2442no—
1102C2×C4⋊C4—611no—
1103C2×C4⋊C4—611no—
1104C2×C4⋊C4—611no—
1105C2×C4⋊C4—611no—
1106C2×C4⋊C4—611no—
1107C2×C4⋊C4—611no—
1108C2×C4⋊C4—611no—
1109C2×C4⋊C4—611no—
1110C2×C4⋊C4—611no—
1111C2×C4⋊C4—611no—
1112C2×C4⋊C4—611no—
1113C2×C4⋊C4—611no—
1114C2×C4⋊C4—611no—
1115C2×C4⋊C4—611no—
1116C2×C4⋊C4—611no—
1117C2×C4⋊C4—611no—
1118C2×C4⋊C4—611no—
1119C2×C4⋊C4—611no—
1120C2×C4⋊C4—611no—
1121C2×C4⋊C4—2442no—
1122C2×C4⋊C4—2442no—
1123C2×C4⋊C4C22×D6111yescharacteristic
1124C2×C4⋊C4C22×D6111yescharacteristic
1125C2×C4⋊C4C22×D6111yescharacteristic
1126C2×C4⋊C4C22×D6111yescharacteristic
1127C2×C4⋊C4C22×D6111yescharacteristic
1128C2×C4⋊C4C22×D6111yescharacteristic
1129C2×C4⋊C4C22×D6111yescharacteristic
1130C2×C4⋊C4C22×D6111yescharacteristic
1131C2×C4⋊C4C22×D6111yescharacteristic
1132C2×C4⋊C4C22×D6111yescharacteristic
1133C2×C4⋊C4C22×D6111yescharacteristic
1134C2×C22⋊C4—611no—
1135C2×C22⋊C4—611no—
1136C2×C22⋊C4—611no—
1137C2×C22⋊C4—611no—
1138C2×C22⋊C4—611no—
1139C2×C22⋊C4—611no—
1140C2×C22⋊C4—611no—
1141C2×C22⋊C4—611no—
1142C2×C22⋊C4—611no—
1143C2×C22⋊C4—611no—
1144C2×C22⋊C4—611no—
1145C2×C22⋊C4—611no—
1146C2×C22⋊C4—611no—
1147C2×C22⋊C4—611no—
1148C2×C22⋊C4—611no—
1149C2×C22⋊C4—611no—
1150C2×C22⋊C4—611no—
1151C2×C22⋊C4—611no—
1152C2×C22⋊C4—611no—
1153C2×C22⋊C4—611no—
1154C2×C22⋊C4—611no—
1155C2×C22⋊C4—611no—
1156C2×C22⋊C4—611no—
1157C2×C22⋊C4—611no—
1158C2×C22⋊C4—611no—
1159C2×C22⋊C4—611no—
1160C2×C22⋊C4—611no—
1161C2×C22⋊C4—611no—
1162C2×C22⋊C4—611no—
1163C2×C22⋊C4—611no—
1164C2×C22⋊C4—611no—
1165C2×C22⋊C4—611no—
1166C2×C22⋊C4—611no—
1167C2×C22⋊C4—611no—
1168C2×C22⋊C4—611no—
1169C2×C22⋊C4—611no—
1170C2×C22⋊C4—611no—
1171C2×C22⋊C4—611no—
1172C2×C22⋊C4—611no—
1173C2×C22⋊C4—611no—
1174C2×C22⋊C4—611no—
1175C2×C22⋊C4—611no—
1176C2×C22⋊C4—2442no—
1177C2×C22⋊C4—2442no—
1178C2×C22⋊C4C22×D6111yescharacteristic
1179C2×C22⋊C4C22×D6111yescharacteristic
1180C2×C22⋊C4C22×D6111yescharacteristic
1181C2×C22⋊C4C22×D6111yescharacteristic
1182C2×C22⋊C4C22×D6111yescharacteristic
1183C2×C22⋊C4C22×D6111yescharacteristic
1184C2×C22⋊C4C22×D6111yescharacteristic
1185C2×C22⋊C4C22×D6111yescharacteristic
1186C2×C22⋊C4C22×D6111yescharacteristic
1187C2×C22⋊C4C22×D6111yescharacteristic
1188C2×C42—611no—
1189C2×C42—611no—
1190C2×C42—611no—
1191C2×C42C22×D6111yescharacteristic
1192#95—611no—
1193#95—611no—
1194#95—611no—
1195#95—611no—
1196#95—611no—
1197#95—611no—
1198#95—611no—
1199#95—611no—
1200#95—611no—
1201#95—611no—
1202#95—611no—
1203#95—611no—
1204#95—611no—
1205#95—611no—
1206#95—611no—
1207#95—611no—
1208#95—611no—
1209#95—611no—
1210#95—611no—
1211#95—611no—
1212#95—611no—
1213#95—611no—
1214#95—611no—
1215#95—611no—
1216#95—611no—
1217#95—611no—
1218#95C22×D6111yescharacteristic
1219#95C22×D6111yescharacteristic
1220#95C22×D6111yescharacteristic
1221#95C22×D6111yescharacteristic
1222#95C22×D6111yescharacteristic
1223#95C22×D6111yescharacteristic
1224#95C22×D6111yescharacteristic
1225#95C22×D6111yescharacteristic
1226#95C22×D6111yescharacteristic
1227#95C22×D6111yescharacteristic
1228C24—611no—
1229C24—611no—
1230C24—611no—
1231C24—611no—
1232C24—611no—
1233C24—1222no—
1234C24—1222no—
1235C24—1222no—
1236C24—1222no—
1237C24—1222no—
1238C24—2441no—
1239C24—2441no—
1240C24C23×D6111yescharacteristic
1241C24C23×D6111yescharacteristic
1242C2×D4—22no—
1243C2×D4—41no—
1244C2×D4—41no—
1245C2×D4—1222no—
1246C2×D4—1222no—
1247C2×D4—1222no—
1248C2×D4—1222no—
1249C2×D4—1222no—
1250C2×D4—1222no—
1251C2×D4—1222no—
1252C2×D4—1222no—
1253C2×D4—1222no—
1254C2×D4—1222no—
1255C2×D4—1222no—
1256C2×D4—1222no—
1257C2×D4—1222no—
1258C2×D4—1222no—
1259C2×D4—1222no—
1260C2×D4—1222no—
1261C2×D4—1222no—
1262C2×D4—1222no—
1263C2×D4—1222no—
1264C2×D4—1222no—
1265C2×D4—1222no—
1266C2×D4—2441no—
1267C2×D4—2441no—
1268C2×D4—2441no—
1269C2×D4—2441no—
1270C2×D4—2441no—
1271C2×D4—2441no—
1272C2×D4—2441no—
1273C2×D4—2441no—
1274C2×D4—2441no—
1275C2×D4—2441no—
1276C2×D4—2441no—
1277C2×D4—2441no—
1278C2×D4—2441no—
1279C2×D4—2441no—
1280C2×D4—2441no—
1281C2×D4—2441no—
1282C2×D4—2441no—
1283C2×D4—2441no—
1284C2×D4—2441no—
1285C2×D4—2441no—
1286C2×D4—2441no—
1287C2×D4—2441no—
1288C2×D4—2441no—
1289C2×D4—2441no—
1290C2×D4—2441no—
1291C2×D4—2441no—
1292C2×D4—2441no—
1293C2×D4—2441no—
1294C2×D4—2441no—
1295C2×D4—2441no—
1296C22×C4—22no—
1297C22×C4—22no—
1298C22×C4—41no—
1299C22×C4—41no—
1300C22×C4—41no—
1301C22×C4—41no—
1302C22×C4—611no—
1303C22×C4—611no—
1304C22×C4—614no—
1305C22×C4—611no—
1306C22×C4—611no—
1307C22×C4—611no—
1308C22×C4—611no—
1309C22×C4—611no—
1310C22×C4—611no—
1311C22×C4—611no—
1312C22×C4—611no—
1313C22×C4—611no—
1314C22×C4—1222no—
1315C22×C4—1222no—
1316C22×C4—1222no—
1317C22×C4—1222no—
1318C22×C4—1222no—
1319C22×C4—1222no—
1320C22×C4—1222no—
1321C22×C4—1222no—
1322C22×C4—1222no—
1323C22×C4—1222no—
1324C22×C4—1222no—
1325C22×C4—1222no—
1326C22×C4—1222no—
1327C22×C4—2441no—
1328C22×C4—2441no—
1329C22×C4—2441no—
1330C22×C4—2441no—
1331C22×C4—2441no—
1332C22×C4—2441no—
1333C22×C4—2441no—
1334C22×C4—2441no—
1335C22×C4—2441no—
1336C22×C4—2441no—
1337C22×C4—2441no—
1338C22×C4—2441no—
1339C22×C4—2441no—
1340C22×C4—2441no—
1341C22×C4—2441no—
1342C22×C4—2441no—
1343C22×C4—2441no—
1344C22×C4—2441no—
1345C22×C4—2441no—
1346C22×C4—2441no—
1347C22×C4—2441no—
1348C22×C4—24416no—
1349C22×C4—2441no—
1350C22×C4C23×D6111yescharacteristic
1351C22×C4C23×D6111yescharacteristic
1352C22×C4C23×D6111yescharacteristic
1353C22×C4C23×D6111yescharacteristic
1354C22×C4C23×D6111yescharacteristic
1355C22×C4C23×D6111yescharacteristic
1356C22×C4C23×D6111yescharacteristic
1357C22×C4C23×D6111yescharacteristic
1358C22×C4C23×D6111yescharacteristic
1359C22×C4C23×D6111yescharacteristic
1360C22×C4C23×D6111yescharacteristic
1361C22×C4C23×D6111yescharacteristic
1362C22×C4C23×D6111yescharacteristic
1363C4⋊C4—22no—
1364C4⋊C4—22no—
1365C4⋊C4—41no—
1366C4⋊C4—41no—
1367C4⋊C4—41no—
1368C4⋊C4—41no—
1369C4⋊C4—41no—
1370C4⋊C4—41no—
1371C4⋊C4—41no—
1372C4⋊C4—41no—
1373C4⋊C4—41no—
1374C4⋊C4—1222no—
1375C4⋊C4—1222no—
1376C4⋊C4—1222no—
1377C4⋊C4—1222no—
1378C4⋊C4—2441no—
1379C4⋊C4—2441no—
1380C4⋊C4—2441no—
1381C4⋊C4—2441no—
1382C4⋊C4—2441no—
1383C4⋊C4—2441no—
1384C4⋊C4—2441no—
1385C4⋊C4—2441no—
1386C4⋊C4—2441no—
1387C4⋊C4—2441no—
1388C4⋊C4—2441no—
1389C4⋊C4—2441no—
1390C4⋊C4—2441no—
1391C4⋊C4—2441no—
1392C4⋊C4—2441no—
1393C22⋊C4—22no—
1394C22⋊C4—22no—
1395C22⋊C4—41no—
1396C22⋊C4—41no—
1397C22⋊C4—41no—
1398C22⋊C4—41no—
1399C22⋊C4—41no—
1400C22⋊C4—41no—
1401C22⋊C4—41no—
1402C22⋊C4—41no—
1403C22⋊C4—1222no—
1404C22⋊C4—1222no—
1405C22⋊C4—1222no—
1406C22⋊C4—1222no—
1407C22⋊C4—1222no—
1408C22⋊C4—1222no—
1409C22⋊C4—1222no—
1410C22⋊C4—1222no—
1411C22⋊C4—1222no—
1412C22⋊C4—1222no—
1413C22⋊C4—1222no—
1414C22⋊C4—1222no—
1415C22⋊C4—1222no—
1416C22⋊C4—1222no—
1417C22⋊C4—1222no—
1418C22⋊C4—1222no—
1419C22⋊C4—1222no—
1420C22⋊C4—1222no—
1421C22⋊C4—2441no—
1422C22⋊C4—2441no—
1423C22⋊C4—2441no—
1424C22⋊C4—2441no—
1425C22⋊C4—2441no—
1426C22⋊C4—2441no—
1427C22⋊C4—2441no—
1428C22⋊C4—2441no—
1429C22⋊C4—2441no—
1430C22⋊C4—2441no—
1431C22⋊C4—2441no—
1432C22⋊C4—2441no—
1433C22⋊C4—2441no—
1434C22⋊C4—2441no—
1435C22⋊C4—2441no—
1436C22⋊C4—2441no—
1437C22⋊C4—2441no—
1438C22⋊C4—2441no—
1439C22⋊C4—2441no—
1440C22⋊C4—2441no—
1441C22⋊C4—2441no—
1442C22⋊C4—2441no—
1443C22⋊C4—2441no—
1444C22⋊C4—2441no—
1445C42—41no—
1446C42—2441no—
1447C42—2441no—
1448C42—2441no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—612no—
1463C23—612no—
1464C23—612no—
1465C23—612no—
1466C23—1228no—
1467C23—1221no—
1468C23—1221no—
1469C23—1221no—
1470C23—1221no—
1471C23—1221no—
1472C23—1221no—
1473C23—1221no—
1474C23—1221no—
1475C23—1221no—
1476C23—1221no—
1477C23—1221no—
1478C23—1221no—
1479C23—1221no—
1480C23—1221no—
1481C23—1221no—
1482C23—1221no—
1483C23—1221no—
1484C23—1221no—
1485C23—1221no—
1486C23—1221no—
1487C23—1221no—
1488C23—1221no—
1489C23—1221no—
1490C23—1221no—
1491C23—1221no—
1492C23—1221no—
1493C23—1221no—
1494C23—1221no—
1495C23—1221no—
1496C23—1221no—
1497C23—1221no—
1498C23—2444no—
1499C23—2444no—
1500C23—2444no—
1501C23—2444no—
1502C23—2444no—
1503C23—2444no—
1504C23#1451982512yes—
1505C23C24×D6111yescharacteristic
1506D4—82no—
1507D4—4882no—
1508D4—4882no—
1509D4—4882no—
1510D4—4882no—
1511D4—4882no—
1512D4—4882no—
1513D4—4882no—
1514D4—4882no—
1515D4—4882no—
1516D4—4882no—
1517D4—4882no—
1518D4—4882no—
1519D4—4882no—
1520D4—2444no—
1521D4—2444no—
1522D4—2444no—
1523D4—2444no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—44no—
1562C2×C4—82no—
1563C2×C4—612no—
1564C2×C4—612no—
1565C2×C4—1228no—
1566C2×C4—1221no—
1567C2×C4—1221no—
1568C2×C4—1221no—
1569C2×C4—1221no—
1570C2×C4—1221no—
1571C2×C4—1221no—
1572C2×C4—1221no—
1573C2×C4—1221no—
1574C2×C4—1221no—
1575C2×C4—1221no—
1576C2×C4—1221no—
1577C2×C4—1221no—
1578C2×C4—1221no—
1579C2×C4—1221no—
1580C2×C4—1221no—
1581C2×C4—1221no—
1582C2×C4—1221no—
1583C2×C4—1221no—
1584C2×C4—1221no—
1585C2×C4—1221no—
1586C2×C4—1221no—
1587C2×C4—1221no—
1588C2×C4—1221no—
1589C2×C4—1221no—
1590C2×C4—1221no—
1591C2×C4—1221no—
1592C2×C4—1221no—
1593C2×C4—1221no—
1594C2×C4—1221no—
1595C2×C4—1221no—
1596C2×C4—1221no—
1597C2×C4—4882no—
1598C2×C4—4882no—
1599C2×C4—4882no—
1600C2×C4—4882no—
1601C2×C4—4882no—
1602C2×C4—4882no—
1603C2×C4—4882no—
1604C2×C4—2444no—
1605C2×C4—2444no—
1606C2×C4—2444no—
1607C2×C4—2444no—
1608C2×C4#41×D6112yes—
1609C2×C4#1451982312yes—
1610C22—22no—
1611C22—22no—
1612C22—22no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—41no—
1623C22—41no—
1624C22—614no—
1625C22—1222no—
1626C22—1222no—
1627C22—1222no—
1628C22—1222no—
1629C22—1222no—
1630C22—1222no—
1631C22—1222no—
1632C22—1222no—
1633C22—1222no—
1634C22—24416no—
1635C22—2441no—
1636C22—2441no—
1637C22—2441no—
1638C22—2441no—
1639C22—2441no—
1640C22—2441no—
1641C22—2441no—
1642C22—2441no—
1643C22—2441no—
1644C22—2441no—
1645C22—2441no—
1646C22—2441no—
1647C22—2441no—
1648C22—2441no—
1649C22—2441no—
1650C22—2441no—
1651C22—2441no—
1652C22—2441no—
1653C22—2441no—
1654C22—2441no—
1655C22—2441no—
1656C22—2441no—
1657C22—2441no—
1658C22—2441no—
1659C22—2441no—
1660C22C2×#41×D6111yescharacteristic
1661C22H(5,𝔽2)×D6111yescharacteristic
1662C22H(5,𝔽2)×D6111yescharacteristic
1663C22H(5,𝔽2)×D6111yescharacteristic
1664C22H(5,𝔽2)×D6111yescharacteristic
1665C22C2×#1451982311yescharacteristic
1666C22C2×#1451982511yescharacteristic
1667C4—22no—
1668C4—22no—
1669C4—41no—
1670C4—41no—
1671C4—41no—
1672C4—41no—
1673C4—41no—
1674C4—41no—
1675C4—41no—
1676C4—41no—
1677C4—41no—
1678C4—41no—
1679C4—41no—
1680C4—1222no—
1681C4—1222no—
1682C4—2441no—
1683C4—2441no—
1684C4—2441no—
1685C4—2441no—
1686C4—2441no—
1687C4—2441no—
1688C4—2441no—
1689C4—2441no—
1690C4—2441no—
1691C2—42no—
1692C2—81no—
1693C2—1224no—
1694C2—4881no—
1695C2—4881no—
1696C2—4881no—
1697C2—2442no—
1698C2#540×D6111yescharacteristic
1699C2#2145950311yescharacteristic
1700C2#2145952711yescharacteristic
1701C2#2146004511yescharacteristic
1702C2#2146004711yescharacteristic
1703C2#2146005311yescharacteristic
1704C2#2146005711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutator, socle, cosocleC23×C61C25
FittingC61×#2748C2
hypercenter#2748D61
hypocenterC61#36727
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2748

Complements

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

NH ≅ G/Ntype
1. #21454102C2semidirect
2. #21454100C2semidirect
3. #21453029C2semidirect
4. #21453026C2semidirect
5. #21453026C2semidirect
6. #21452940C2semidirect
7. #21452933C2semidirect
8. #21452929C2semidirect
9. #21452928C2semidirect
10. #21452466C2semidirect
11. #21452463C2semidirect
12. #21452462C2semidirect
13. #21452459C2semidirect
14. #21452062C2semidirect
15. #21452060C2semidirect
16. #21452059C2semidirect
17. #21452058C2semidirect
18. #21451922C2semidirect
19. #21451788C2semidirect
20. #21449559C2semidirect
21. #21449557C2semidirect
22. #21449555C2semidirect
23. #21449553C2semidirect
24. #21449362C2semidirect
25. #21449354C2semidirect
26. #21449350C2semidirect
27. #21449350C2semidirect
28. #21448518C2semidirect
29. #21448516C2semidirect
30. #380×D61C2semidirect
31. C61×#2748C2semidirect
33. C2×#14519762C22semidirect
34. C2×#14519762C22semidirect
35. C2×#14519760C22semidirect
36. C2×#14519759C22semidirect
63. #16839704C22semidirect
64. #16839704C22semidirect
65. #16839703C22semidirect
66. #16839700C22semidirect
67. #16839699C22semidirect
68. #16839697C22semidirect
69. #16839697C22semidirect
70. #16839697C22semidirect
71. #16839697C22semidirect
72. #16839697C22semidirect
73. #16839696C22semidirect
74. #16839695C22semidirect
75. #16839693C22semidirect
76. #16839693C22semidirect
77. #16839692C22semidirect
78. #16839692C22semidirect
79. #16839691C22semidirect
80. #16839690C22semidirect
81. #16839689C22semidirect
82. #16839688C22semidirect
88. #16839680C22semidirect
92. #16839679C22semidirect
94. #16839678C22semidirect
96. #16839677C22semidirect
97. #16839672C22semidirect
100. #16839671C22semidirect
101. #16839671C22semidirect
102. #16839671C22semidirect
108. #16839655C22semidirect
109. #16839654C22semidirect
110. #16839654C22semidirect
112. #16839653C22semidirect
113. #16839653C22semidirect
116. #16839652C22semidirect
118. #16839651C22semidirect
119. #16839650C22semidirect
120. #16839648C22semidirect
121. #16839647C22semidirect
122. #16839644C22semidirect
123. #16839644C22semidirect
124. #16839643C22semidirect
125. #16839643C22semidirect
127. #16839641C22semidirect
137. #16839640C22semidirect
138. #16839640C22semidirect
147. #16839638C22semidirect
149. #16839636C22semidirect
150. #16839636C22semidirect
151. #16839636C22semidirect
155. #16839633C22semidirect
156. #16839633C22semidirect
157. #16839633C22semidirect
172. C61×#399C22semidirect
173. C61×#399C22semidirect
174. C61×#398C22semidirect
175. C61×#398C22semidirect
179. C61×#387C22semidirect
180. C61×#387C22semidirect
183. C61×#385C22semidirect
184. C61×#385C22semidirect
844. #2748D61semidirect
925. #399C2×D61semidirect
926. #399C2×D61semidirect
933. #398C2×D61semidirect
934. #398C2×D61semidirect
985. #387C2×D61semidirect
986. #387C2×D61semidirect
1021. #385C2×D61semidirect
1022. #385C2×D61semidirect
1039. C61#36727semidirect

Maximal subgroups

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

subgroupindex
#214541022
#214541002
#214530292
#214530262
#214529402
#214529332
#214529292
#214529282
#214524662
#214524632
#214524622
#214524592
#214520622
#214520602
#214520592
#214520582
#214519222
#214517882
#214495592
#214495572
#214495552
#214495532
#214493622
#214493542
#214493502
#214485182
#214485162
#380×D612
C61×#27482
#3672761