Finite Group Databasebeta

← D61×#2837 #29886237

Subgroups — D61×#2837 #29886237

Order 15616.

2110 conjugacy classes of subgroups.

The subgroup lattice has 1580 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21454040C211yesmaximal, characteristic, complemented
2#21454039C211yesmaximal, characteristic, complemented
3#21454038C211yesmaximal, characteristic, complemented
4#21454037C211yesmaximal, characteristic, complemented
5#21454036C211yesmaximal, characteristic, complemented
6#21454035C211yesmaximal, characteristic, complemented
7#21454034C211yesmaximal, characteristic, complemented
8#21454033C211yesmaximal, characteristic, complemented
9#21454032C211yesmaximal, characteristic, complemented
10#21454031C211yesmaximal, characteristic, complemented
11#21454030C211yesmaximal, characteristic, complemented
12#21454029C211yesmaximal, characteristic, complemented
13#21454028C211yesmaximal, characteristic, complemented
14#21454027C211yesmaximal, characteristic, complemented
15#21454026C211yesmaximal, characteristic, complemented
16#400×D61C211yesmaximal, characteristic, complemented
17#399×D61C211yesmaximal, characteristic, complemented
18#399×D61C211yesmaximal, characteristic, complemented
19#398×D61C211yesmaximal, characteristic, complemented
20#398×D61C211yesmaximal, characteristic, complemented
21#397×D61C211yesmaximal, characteristic, complemented
22#397×D61C211yesmaximal, characteristic, complemented
23#396×D61C211yesmaximal, characteristic, complemented
24#396×D61C211yesmaximal, characteristic, complemented
25#394×D61C211yesmaximal, characteristic
26#394×D61C211yesmaximal, characteristic
27#394×D61C211yesmaximal, characteristic
28#389×D61C211yesmaximal, characteristic, complemented
29#388×D61C211yesmaximal, characteristic, complemented
30#388×D61C211yesmaximal, characteristic, complemented
31C61×#2837C211yesmaximal, characteristic, complemented
32C22×D4×D61C2211yescharacteristic
33C2×C4⋊C4×D61C2211yescharacteristic
34C2×C4⋊C4×D61C2211yescharacteristic
35C2×C4⋊C4×D61C2211yescharacteristic
36C2×C4⋊C4×D61C2211yescharacteristic
37C2×C4⋊C4×D61C2211yescharacteristic
38C2×C4⋊C4×D61C2211yescharacteristic
39C2×C4⋊C4×D61C2211yescharacteristic
40C2×C4⋊C4×D61C2211yescharacteristic
41C2×C4⋊C4×D61C2211yescharacteristic
42C2×C4⋊C4×D61C2211yescharacteristic
43C2×C4⋊C4×D61C2211yescharacteristic
44C2×C22⋊C4×D61C2211yescharacteristic
45C2×C22⋊C4×D61C2211yescharacteristic
46C2×C22⋊C4×D61C2211yescharacteristic
47C2×C22⋊C4×D61C2211yescharacteristic
48C2×C22⋊C4×D61C2211yescharacteristic
49C2×C22⋊C4×D61C2211yescharacteristic
50C2×C22⋊C4×D61C2211yescharacteristic
51C2×C22⋊C4×D61C2211yescharacteristic
52C2×C22⋊C4×D61C2211yescharacteristic
53C2×C22⋊C4×D61C2211yescharacteristic
54C2×C22⋊C4×D61C2211yescharacteristic
55C2×C22⋊C4×D61C2211yescharacteristic
56C2×C42×D61C2211yescharacteristic
57#16839704C2211yescharacteristic, complemented
58#16839704C2211yescharacteristic, complemented
59#16839703C2211yescharacteristic, complemented
60#16839703C2211yescharacteristic, complemented
61#16839702C2211yescharacteristic, complemented
62#16839701C2211yescharacteristic, complemented
63#16839700C2211yescharacteristic, complemented
64#16839699C2211yescharacteristic, complemented
65#16839699C2211yescharacteristic, complemented
66#16839698C2211yescharacteristic, complemented
67#16839698C2211yescharacteristic, complemented
68#16839698C2211yescharacteristic, complemented
69#16839698C2211yescharacteristic, complemented
70#16839698C2211yescharacteristic, complemented
71#16839698C2211yescharacteristic, complemented
72#16839697C2211yescharacteristic, complemented
73#16839697C2211yescharacteristic, complemented
74#16839697C2211yescharacteristic, complemented
75#16839697C2211yescharacteristic, complemented
76#16839697C2211yescharacteristic, complemented
77#16839697C2211yescharacteristic, complemented
78#16839696C2211yescharacteristic, complemented
79#16839696C2211yescharacteristic, complemented
80#16839696C2211yescharacteristic, complemented
81#16839696C2211yescharacteristic, complemented
82#16839695C2211yescharacteristic, complemented
83#16839695C2211yescharacteristic, complemented
84#16839695C2211yescharacteristic, complemented
85#16839695C2211yescharacteristic, complemented
86#16839694C2211yescharacteristic, complemented
87#16839694C2211yescharacteristic, complemented
88#16839693C2211yescharacteristic, complemented
89#16839693C2211yescharacteristic, complemented
90#16839692C2211yescharacteristic, complemented
91#16839692C2211yescharacteristic, complemented
92#16839691C2211yescharacteristic, complemented
93#16839691C2211yescharacteristic, complemented
94#16839691C2211yescharacteristic, complemented
95#16839691C2211yescharacteristic, complemented
96#16839690C2211yescharacteristic, complemented
97#16839690C2211yescharacteristic, complemented
98#16839690C2211yescharacteristic, complemented
99#16839690C2211yescharacteristic, complemented
100#16839689C2211yescharacteristic, complemented
101#16839689C2211yescharacteristic, complemented
102#16839688C2211yescharacteristic, complemented
103#16839688C2211yescharacteristic, complemented
104#16839687C2211yescharacteristic, complemented
105#16839687C2211yescharacteristic, complemented
106#16839686C2211yescharacteristic, complemented
107#16839686C2211yescharacteristic, complemented
108#16839685C2211yescharacteristic, complemented
109#16839685C2211yescharacteristic, complemented
110#16839685C2211yescharacteristic, complemented
111#16839685C2211yescharacteristic, complemented
112#16839685C2211yescharacteristic, complemented
113#16839685C2211yescharacteristic, complemented
114#16839684C2211yescharacteristic, complemented
115#16839684C2211yescharacteristic, complemented
116#16839684C2211yescharacteristic, complemented
117#16839684C2211yescharacteristic, complemented
118#16839684C2211yescharacteristic, complemented
119#16839684C2211yescharacteristic, complemented
120#16839680C2211yescharacteristic
121#16839680C2211yescharacteristic
122#16839680C2211yescharacteristic
123#16839679C2211yescharacteristic
124#16839679C2211yescharacteristic
125#16839679C2211yescharacteristic
126#16839678C2211yescharacteristic
127#16839678C2211yescharacteristic
128#16839678C2211yescharacteristic
129#16839678C2211yescharacteristic
130#16839678C2211yescharacteristic
131#16839678C2211yescharacteristic
132#16839677C2211yescharacteristic
133#16839677C2211yescharacteristic
134#16839677C2211yescharacteristic
135#16839677C2211yescharacteristic
136#16839677C2211yescharacteristic
137#16839677C2211yescharacteristic
138#16839676C2211yescharacteristic
139#16839676C2211yescharacteristic
140#16839676C2211yescharacteristic
141#16839661C2211yescharacteristic, complemented
142#16839660C2211yescharacteristic, complemented
143#16839659C2211yescharacteristic, complemented
144#16839659C2211yescharacteristic, complemented
145#16839658C2211yescharacteristic, complemented
146#16839657C2211yescharacteristic, complemented
147#16839657C2211yescharacteristic, complemented
148#16839656C2211yescharacteristic, complemented
149#16839656C2211yescharacteristic, complemented
150#16839655C2211yescharacteristic, complemented
151#16839655C2211yescharacteristic, complemented
152#16839654C2211yescharacteristic, complemented
153#16839654C2211yescharacteristic, complemented
154#16839653C2211yescharacteristic, complemented
155#16839653C2211yescharacteristic, complemented
156#16839652C2211yescharacteristic, complemented
157#16839652C2211yescharacteristic, complemented
158#16839651C2211yescharacteristic, complemented
159#16839651C2211yescharacteristic, complemented
160#16839650C2211yescharacteristic, complemented
161#16839650C2211yescharacteristic, complemented
162#95×D61C2211yescharacteristic
163#95×D61C2211yescharacteristic
164#95×D61C2211yescharacteristic
165#95×D61C2211yescharacteristic
166#95×D61C2211yescharacteristic
167#95×D61C2211yescharacteristic
168#95×D61C2211yescharacteristic
169#95×D61C2211yescharacteristic
170#95×D61C2211yescharacteristic
171#95×D61C2211yescharacteristic
172C61×#400C2211yescharacteristic, complemented
173C61×#399C2211yescharacteristic, complemented
174C61×#399C2211yescharacteristic, complemented
175C61×#398C2211yescharacteristic, complemented
176C61×#398C2211yescharacteristic, complemented
177C61×#397C2211yescharacteristic, complemented
178C61×#397C2211yescharacteristic, complemented
179C61×#396C2211yescharacteristic, complemented
180C61×#396C2211yescharacteristic, complemented
181C61×#394C2211yescharacteristic
182C61×#394C2211yescharacteristic
183C61×#394C2211yescharacteristic
184C61×#389C2211yescharacteristic, complemented
185C61×#388C2211yescharacteristic, complemented
186C61×#388C2211yescharacteristic, complemented
187C24×D61C2311yescharacteristic
188C24×D61C2311yescharacteristic
189C22×D244C2311yescharacteristic
190C22×C22⋊D61C2311yescharacteristic
191C22×C22⋊D61C2311yescharacteristic
192C2×D4×D61—42no—
193C2×D4×D61—42no—
194C2×D4×D61—42no—
195C22×C4×D61C2311yescharacteristic
196C22×C4×D61C2311yescharacteristic
197C22×C4×D61C2311yescharacteristic
198C22×C4×D61C2311yescharacteristic
199C22×C4×D61C2311yescharacteristic
200C22×C4×D61C2311yescharacteristic
201C22×C4×D61C2311yescharacteristic
202C22×C4×D61C2311yescharacteristic
203C22×C4×D61C2311yescharacteristic
204C22×C4×D61C2311yescharacteristic
205C22×C4×D61C2311yescharacteristic
206C22×C4×D61C2311yescharacteristic
207C22×C4×D61C2311yescharacteristic
208C2×C4⋊Dic61C2311yescharacteristic
209C2×C4⋊Dic61C2311yescharacteristic
210C2×C4⋊Dic61C2311yescharacteristic
211C2×C4⋊Dic61C2311yescharacteristic
212C2×C4⋊Dic61C2311yescharacteristic
213C2×C4⋊Dic61C2311yescharacteristic
214C2×C4⋊Dic61C2311yescharacteristic
215C2×C4⋊Dic61C2311yescharacteristic
216C2×C4⋊Dic61C2311yescharacteristic
217C2×C4⋊Dic61C2311yescharacteristic
218C2×C4⋊Dic61C2311yescharacteristic
219C2×#11758196C2311yescharacteristic
220C2×#11758196C2311yescharacteristic
221C2×#11758196C2311yescharacteristic
222C2×#11758196C2311yescharacteristic
223C2×#11758196C2311yescharacteristic
224C2×#11758196C2311yescharacteristic
225C2×#11758196C2311yescharacteristic
226C2×#11758196C2311yescharacteristic
227C2×#11758196C2311yescharacteristic
228C2×#11758196C2311yescharacteristic
229C2×#11758196C2311yescharacteristic
230C2×#11758196C2311yescharacteristic
231C2×#11758196C2311yescharacteristic
232C2×#11758196C2311yescharacteristic
233C2×#11758196C2311yescharacteristic
234C2×#11758196C2311yescharacteristic
235C2×#11758196C2311yescharacteristic
236C2×#11758196C2311yescharacteristic
237C2×#11758196C2311yescharacteristic
238C2×#11758196C2311yescharacteristic
239C2×#11758196C2311yescharacteristic
240C2×#11758196C2311yescharacteristic
241C4⋊C4×D61—24no—
242C4⋊C4×D61—42no—
243C4⋊C4×D61—42no—
244C4⋊C4×D61—42no—
245C4⋊C4×D61—42no—
246C4⋊C4×D61—42no—
247C4⋊C4×D61—42no—
248C4⋊C4×D61—42no—
249C4⋊C4×D61—42no—
250C4⋊C4×D61—42no—
251C4⋊C4×D61—42no—
252C2×C22⋊Dic61C2311yescharacteristic
253C2×C22⋊Dic61C2311yescharacteristic
254C2×C22⋊Dic61C2311yescharacteristic
255C2×C22⋊Dic61C2311yescharacteristic
256C2×C22⋊Dic61C2311yescharacteristic
257C2×C22⋊Dic61C2311yescharacteristic
258C2×C22⋊Dic61C2311yescharacteristic
259C2×C22⋊Dic61C2311yescharacteristic
260C2×C22⋊Dic61C2311yescharacteristic
261C2×C22⋊Dic61C2311yescharacteristic
262C2×C22⋊Dic61C2311yescharacteristic
263C2×C22⋊Dic61C2311yescharacteristic
264C2×#11758198C2311yescharacteristic
265C2×#11758198C2311yescharacteristic
266C2×#11758198C2311yescharacteristic
267C2×#11758198C2311yescharacteristic
268C2×#11758198C2311yescharacteristic
269C2×#11758198C2311yescharacteristic
270C2×#11758198C2311yescharacteristic
271C2×#11758198C2311yescharacteristic
272C2×#11758198C2311yescharacteristic
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
288C22⋊C4×D61—24no—
289C22⋊C4×D61—24no—
290C22⋊C4×D61—42no—
291C22⋊C4×D61—42no—
292C22⋊C4×D61—42no—
293C22⋊C4×D61—42no—
294C22⋊C4×D61—42no—
295C22⋊C4×D61—42no—
296C22⋊C4×D61—42no—
297C22⋊C4×D61—42no—
298C22⋊C4×D61—42no—
299C22⋊C4×D61—42no—
300C2×C4×Dic61C2311yescharacteristic
301C2×C4×Dic61C2311yescharacteristic
302C2×C4×Dic61C2311yescharacteristic
303C42×D61—42no—
304#14519684C2311yescharacteristic
305#14519684C2311yescharacteristic
306#14519684C2311yescharacteristic
307#14519684C2311yescharacteristic
308#14519684C2311yescharacteristic
309#14519684C2311yescharacteristic
310#14519684C2311yescharacteristic
311#14519684C2311yescharacteristic
312#14519684C2311yescharacteristic
313#14519684C2311yescharacteristic
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
334C22×D4×C61C2311yescharacteristic
335C2×C4⋊C4×C61C2311yescharacteristic
336C2×C4⋊C4×C61C2311yescharacteristic
337C2×C4⋊C4×C61C2311yescharacteristic
338C2×C4⋊C4×C61C2311yescharacteristic
339C2×C4⋊C4×C61C2311yescharacteristic
340C2×C4⋊C4×C61C2311yescharacteristic
341C2×C4⋊C4×C61C2311yescharacteristic
342C2×C4⋊C4×C61C2311yescharacteristic
343C2×C4⋊C4×C61C2311yescharacteristic
344C2×C4⋊C4×C61C2311yescharacteristic
345C2×C4⋊C4×C61C2311yescharacteristic
346C2×C22⋊C4×C61C2311yescharacteristic
347C2×C22⋊C4×C61C2311yescharacteristic
348C2×C22⋊C4×C61C2311yescharacteristic
349C2×C22⋊C4×C61C2311yescharacteristic
350C2×C22⋊C4×C61C2311yescharacteristic
351C2×C22⋊C4×C61C2311yescharacteristic
352C2×C22⋊C4×C61C2311yescharacteristic
353C2×C22⋊C4×C61C2311yescharacteristic
354C2×C22⋊C4×C61C2311yescharacteristic
355C2×C22⋊C4×C61C2311yescharacteristic
356C2×C22⋊C4×C61C2311yescharacteristic
357C2×C22⋊C4×C61C2311yescharacteristic
358C2×C42×C61C2311yescharacteristic
359#95×C61C2311yescharacteristic
360#95×C61C2311yescharacteristic
361#95×C61C2311yescharacteristic
362#95×C61C2311yescharacteristic
363#95×C61C2311yescharacteristic
364#95×C61C2311yescharacteristic
365#95×C61C2311yescharacteristic
366#95×C61C2311yescharacteristic
367#95×C61C2311yescharacteristic
368#95×C61C2311yescharacteristic
369C24×C61C2411yescharacteristic
370C24×C61C2411yescharacteristic
371C23×D61—22no—
372C23×D61—22no—
373C23×D61—22no—
374C23×D61—22no—
375C23×D61—22no—
376C23×D61—22no—
377C23×D61—22no—
378C23×D61—22no—
379C23×D61—22no—
380C23×D61—22no—
381C23×D61—22no—
382C23×D61—22no—
383C23×D61—22no—
384C23×D61—22no—
385C23×D61C2411yescharacteristic
386C23×D61C2411yescharacteristic
387C23×D61C2411yescharacteristic
388C2×D4×C61—41no—
389C2×D4×C61—41no—
390C2×D4×C61—41no—
391C22×C4×C61C2411yescharacteristic
392C22×C4×C61C2411yescharacteristic
393C22×C4×C61C2411yescharacteristic
394C22×C4×C61C2411yescharacteristic
395C22×C4×C61C2411yescharacteristic
396C22×C4×C61C2411yescharacteristic
397C22×C4×C61C2411yescharacteristic
398C22×C4×C61C2411yescharacteristic
399C22×C4×C61C2411yescharacteristic
400C22×C4×C61C2411yescharacteristic
401C22×C4×C61C2411yescharacteristic
402C22×C4×C61C2411yescharacteristic
403C22×C4×C61C2411yescharacteristic
404C2×C22⋊D61—41no—
405C2×C22⋊D61—41no—
406C2×C22⋊D61—41no—
407C2×C22⋊D61—41no—
408C2×C22⋊D61—41no—
409C2×C22⋊D61—41no—
410C22×Dic61C2411yescharacteristic
411C22×Dic61C2411yescharacteristic
412C22×Dic61C2411yescharacteristic
413C22×Dic61C2411yescharacteristic
414C22×Dic61C2411yescharacteristic
415C22×Dic61C2411yescharacteristic
416C22×Dic61C2411yescharacteristic
417C22×Dic61C2411yescharacteristic
418C22×Dic61C2411yescharacteristic
419C22×Dic61C2411yescharacteristic
420C22×Dic61C2411yescharacteristic
421C22×Dic61C2411yescharacteristic
422C22×Dic61C2411yescharacteristic
423D4×D61—416no—
424C2×D244—41no—
425C2×D244—41no—
426C2×D244—41no—
427C2×C4×D61—22no—
428C2×C4×D61—22no—
429C2×C4×D61—22no—
430C2×C4×D61—22no—
431C2×C4×D61—22no—
432C2×C4×D61—22no—
433C2×C4×D61—22no—
434C2×C4×D61—22no—
435C2×C4×D61—22no—
436C2×C4×D61—22no—
437C2×C4×D61—22no—
438C2×C4×D61—22no—
439C2×C4×D61—22no—
440C2×C4×D61—22no—
441C2×C4×D61—22no—
442C2×C4×D61—22no—
443C2×C4×D61—22no—
444C2×C4×D61—22no—
445C2×C4×D61—22no—
446C2×C4×D61—22no—
447C2×C4×D61—22no—
448C2×C4×D61—22no—
449C2×C4×D61—22no—
450C2×C4×D61—22no—
451C2×C4×D61—22no—
452C2×C4×D61—22no—
453C2×C4×D61—22no—
454C2×C4×D61—22no—
455C2×C4×D61—22no—
456C2×C4×D61—22no—
457C2×C4×D61—22no—
458C2×C4×D61—22no—
459C2×C4×D61—22no—
460C2×C4×D61—22no—
461C2×C4×D61—22no—
462C2×C4×D61—22no—
463C2×C4×D61—22no—
464C2×C4×D61—22no—
465C2×C4×D61#4114yes—
466C4⋊C4×C61—22no—
467C4⋊C4×C61—41no—
468C4⋊C4×C61—41no—
469C4⋊C4×C61—41no—
470C4⋊C4×C61—41no—
471C4⋊C4×C61—41no—
472C4⋊C4×C61—41no—
473C4⋊C4×C61—41no—
474C4⋊C4×C61—41no—
475C4⋊C4×C61—41no—
476C4⋊C4×C61—41no—
477C22⋊C4×C61—22no—
478C22⋊C4×C61—22no—
479C22⋊C4×C61—41no—
480C22⋊C4×C61—41no—
481C22⋊C4×C61—41no—
482C22⋊C4×C61—41no—
483C22⋊C4×C61—41no—
484C22⋊C4×C61—41no—
485C22⋊C4×C61—41no—
486C22⋊C4×C61—41no—
487C22⋊C4×C61—41no—
488C22⋊C4×C61—41no—
489C42×C61—41no—
490C22⋊Dic61—22no—
491C22⋊Dic61—22no—
492C22⋊Dic61—41no—
493C22⋊Dic61—41no—
494C22⋊Dic61—41no—
495C22⋊Dic61—41no—
496C22⋊Dic61—41no—
497C22⋊Dic61—41no—
498C22⋊Dic61—41no—
499C22⋊Dic61—41no—
500C22⋊Dic61—41no—
501C22⋊Dic61—41no—
502#11758198—22no—
503#11758198—22no—
504#11758198—22no—
505#11758198—22no—
506#11758198—41no—
507#11758198—41no—
508#11758198—41no—
509#11758198—41no—
510#11758198—41no—
511#11758198—41no—
512#11758198—41no—
513#11758198—41no—
514#11758198—41no—
515#11758198—41no—
516#11758198—41no—
517#11758198—41no—
518#11758198—41no—
519#11758198—41no—
520#11758198—41no—
521#11758198—41no—
522#11758198—41no—
523#11758198—41no—
524#11758198—41no—
525#11758198—41no—
526C4⋊Dic61—22no—
527C4⋊Dic61—41no—
528C4⋊Dic61—41no—
529C4⋊Dic61—41no—
530C4⋊Dic61—41no—
531C4⋊Dic61—41no—
532C4⋊Dic61—41no—
533C4⋊Dic61—41no—
534C4⋊Dic61—41no—
535C4⋊Dic61—41no—
536C4⋊Dic61—41no—
537#11758196—22no—
538#11758196—22no—
539#11758196—41no—
540#11758196—41no—
541#11758196—41no—
542#11758196—41no—
543#11758196—41no—
544#11758196—41no—
545#11758196—41no—
546#11758196—41no—
547#11758196—41no—
548#11758196—41no—
549#11758196—41no—
550#11758196—41no—
551#11758196—41no—
552#11758196—41no—
553#11758196—41no—
554#11758196—41no—
555#11758196—41no—
556#11758196—41no—
557#11758196—41no—
558#11758196—41no—
559C4×Dic61—41no—
560C4×Dic61—41no—
561C4×Dic61—41no—
562C23×C61—21no—
563C23×C61—21no—
564C23×C61—21no—
565C23×C61—21no—
566C23×C61—21no—
567C23×C61—21no—
568C23×C61—21no—
569C23×C61—21no—
570C23×C61—21no—
571C23×C61—21no—
572C23×C61—21no—
573C23×C61—21no—
574C23×C61—21no—
575C23×C61—21no—
576C23×C61C2511yescharacteristic
577C22×D61—21no—
578C22×D61—21no—
579C22×D61—21no—
580C22×D61—21no—
581C22×D61—21no—
582C22×D61—21no—
583C22×D61—21no—
584C22×D61—21no—
585C22×D61—21no—
586C22×D61—21no—
587C22×D61—21no—
588C22×D61—21no—
589C22×D61—21no—
590C22×D61—21no—
591C22×D61—44no—
592C22×D61—44no—
593C22×D61—44no—
594C22×D61—44no—
595C22×D61—44no—
596C22×D61—44no—
597C22×D61—44no—
598C22×D61—44no—
599C22×D61—44no—
600C22×D61—44no—
601C22×D61—44no—
602C22×D61—44no—
603C22×D61—44no—
604C22×D61—44no—
605C22×D61C2×#4112yes—
606C22×D61H(5,𝔽2)12yes—
607C22×D61H(5,𝔽2)12yes—
608C22×D61H(5,𝔽2)12yes—
609C22×D61H(5,𝔽2)12yes—
610C22×D612−1+412yes—
611C22×D612−1+412yes—
612D4×C61—44no—
613C2×C4×C61—21no—
614C2×C4×C61—21no—
615C2×C4×C61—21no—
616C2×C4×C61—21no—
617C2×C4×C61—21no—
618C2×C4×C61—21no—
619C2×C4×C61—21no—
620C2×C4×C61—21no—
621C2×C4×C61—21no—
622C2×C4×C61—21no—
623C2×C4×C61—21no—
624C2×C4×C61—21no—
625C2×C4×C61—21no—
626C2×C4×C61—21no—
627C2×C4×C61—21no—
628C2×C4×C61—21no—
629C2×C4×C61—21no—
630C2×C4×C61—21no—
631C2×C4×C61—21no—
632C2×C4×C61—21no—
633C2×C4×C61—21no—
634C2×C4×C61—21no—
635C2×C4×C61—21no—
636C2×C4×C61—21no—
637C2×C4×C61—21no—
638C2×C4×C61—21no—
639C2×C4×C61—21no—
640C2×C4×C61—21no—
641C2×C4×C61—21no—
642C2×C4×C61—21no—
643C2×C4×C61—21no—
644C2×C4×C61—21no—
645C2×C4×C61—21no—
646C2×C4×C61—21no—
647C2×C4×C61—21no—
648C2×C4×C61—21no—
649C2×C4×C61—21no—
650C2×C4×C61—21no—
651C2×C4×C61C2×#4112yes—
652C22⋊D61—44no—
653C22⋊D61—44no—
654C2×Dic61—21no—
655C2×Dic61—21no—
656C2×Dic61—21no—
657C2×Dic61—21no—
658C2×Dic61—21no—
659C2×Dic61—21no—
660C2×Dic61—21no—
661C2×Dic61—21no—
662C2×Dic61—21no—
663C2×Dic61—21no—
664C2×Dic61—21no—
665C2×Dic61—21no—
666C2×Dic61—21no—
667C2×Dic61—21no—
668C2×Dic61—21no—
669C2×Dic61—21no—
670C2×Dic61—21no—
671C2×Dic61—21no—
672C2×Dic61—21no—
673C2×Dic61—21no—
674C2×Dic61—21no—
675C2×Dic61—21no—
676C2×Dic61—21no—
677C2×Dic61—21no—
678C2×Dic61—21no—
679C2×Dic61—21no—
680C2×Dic61—21no—
681C2×Dic61—21no—
682C2×Dic61—21no—
683C2×Dic61—21no—
684C2×Dic61—21no—
685C2×Dic61—21no—
686C2×Dic61—21no—
687C2×Dic61—21no—
688C2×Dic61—21no—
689C2×Dic61—21no—
690C2×Dic61—21no—
691C2×Dic61—21no—
692C2×Dic61C2×#4112yes—
693D244—44no—
694C4×D61—28no—
695C4×D61—44no—
696C4×D61—44no—
697C4×D61—44no—
698C4×D61—44no—
699C4×D61—44no—
700C4×D61—44no—
701C4×D61—44no—
702C4×D61—44no—
703C4×D61—44no—
704C4×D61—44no—
705C4×D61—44no—
706C4×D61—44no—
707C2×#2837—611nomaximal, Sylow
708C22×C61—41no—
709C22×C61—41no—
710C22×C61—41no—
711C22×C61—41no—
712C22×C61—41no—
713C22×C61—41no—
714C22×C61—41no—
715C22×C61—41no—
716C22×C61—41no—
717C22×C61—41no—
718C22×C61—41no—
719C22×C61—41no—
720C22×C61—41no—
721C22×C61—41no—
722C22×C61C22×#4111yescharacteristic
723C22×C61C2×H(5,𝔽2)11yescharacteristic
724C22×C61C2×H(5,𝔽2)11yescharacteristic
725C22×C61C2×H(5,𝔽2)11yescharacteristic
726C22×C61C2×H(5,𝔽2)11yescharacteristic
727C22×C61C2×2−1+411yescharacteristic
728C22×C61C2×2−1+411yescharacteristic
729C2×D61—41no—
730C2×D61—41no—
731C2×D61—41no—
732C2×D61—41no—
733C2×D61—41no—
734C2×D61—41no—
735C2×D61—41no—
736C2×D61—41no—
737C2×D61—41no—
738C2×D61—41no—
739C2×D61—41no—
740C2×D61—41no—
741C2×D61—41no—
742C2×D61—41no—
743C2×D61—88no—
744C2×D61—88no—
745C2×D61#53914yes—
746C2×D61#54014yes—
747C2×D61#54214yes—
748C2×D61#56014yes—
749C2×D61#56214yes—
750C2×D61#56214yes—
751C2×D61#56314yes—
752C4×C61—22no—
753C4×C61—41no—
754C4×C61—41no—
755C4×C61—41no—
756C4×C61—41no—
757C4×C61—41no—
758C4×C61—41no—
759C4×C61—41no—
760C4×C61—41no—
761C4×C61—41no—
762C4×C61—41no—
763C4×C61—41no—
764C4×C61—41no—
765Dic61—22no—
766Dic61—41no—
767Dic61—41no—
768Dic61—41no—
769Dic61—41no—
770Dic61—41no—
771Dic61—41no—
772Dic61—41no—
773Dic61—41no—
774Dic61—41no—
775Dic61—41no—
776Dic61—41no—
777Dic61—41no—
778#2837—611no—
779#2837—611no—
780#2837—611no—
781#2837—611no—
782#2837—611no—
783#2837—611no—
784#2837—611no—
785#2837—611no—
786#2837—611no—
787#2837—611no—
788#2837—611no—
789#2837—611no—
790#2837—611no—
791#2837—611no—
792#2837—611no—
793#2837D6111yescharacteristic, direct product factor
794C2×#400—611no—
795C2×#399—611no—
796C2×#399—611no—
797C2×#398—611no—
798C2×#398—611no—
799C2×#397—611no—
800C2×#397—611no—
801C2×#396—611no—
802C2×#396—611no—
803C2×#394—611no—
804C2×#394—611no—
805C2×#394—611no—
806C2×#389—611no—
807C2×#388—611no—
808C2×#388—611no—
809C2×C61—81no—
810C2×C61—81no—
811C2×C61C2×#53911yescharacteristic
812C2×C61C2×#54011yescharacteristic
813C2×C61C2×#54211yescharacteristic
814C2×C61C2×#56011yescharacteristic
815C2×C61C2×#56211yescharacteristic
816C2×C61C2×#56211yescharacteristic
817C2×C61C2×#56311yescharacteristic
818D61—81no—
819D61—81no—
820D61#283718yesdirect product factor
821C23×D4—611no—
822C22×C4⋊C4—611no—
823C22×C4⋊C4—611no—
824C22×C4⋊C4—611no—
825C22×C4⋊C4—611no—
826C22×C4⋊C4—611no—
827C22×C4⋊C4—611no—
828C22×C4⋊C4—611no—
829C22×C4⋊C4—611no—
830C22×C4⋊C4—611no—
831C22×C4⋊C4—611no—
832C22×C4⋊C4—611no—
833C22×C22⋊C4—611no—
834C22×C22⋊C4—611no—
835C22×C22⋊C4—611no—
836C22×C22⋊C4—611no—
837C22×C22⋊C4—611no—
838C22×C22⋊C4—611no—
839C22×C22⋊C4—611no—
840C22×C22⋊C4—611no—
841C22×C22⋊C4—611no—
842C22×C22⋊C4—611no—
843C22×C22⋊C4—611no—
844C22×C22⋊C4—611no—
845C22×C42—611no—
846#400—611no—
847#400—611no—
848#400—611no—
849#400—611no—
850#400—611no—
851#400—611no—
852#400—611no—
853#400C2×D6111yescharacteristic, complemented
854#399—611no—
855#399—611no—
856#399—611no—
857#399—611no—
858#399—611no—
859#399—611no—
860#399—611no—
861#399—611no—
862#399—611no—
863#399—611no—
864#399—611no—
865#399—611no—
866#399—611no—
867#399—611no—
868#399C2×D6111yescharacteristic, complemented
869#399C2×D6111yescharacteristic, complemented
870#398—611no—
871#398—611no—
872#398—611no—
873#398—611no—
874#398—611no—
875#398—611no—
876#398—611no—
877#398—611no—
878#398—611no—
879#398—611no—
880#398—611no—
881#398—611no—
882#398—611no—
883#398—611no—
884#398C2×D6111yescharacteristic, complemented
885#398C2×D6111yescharacteristic, complemented
886#397—611no—
887#397—611no—
888#397—611no—
889#397—611no—
890#397—611no—
891#397—611no—
892#397—611no—
893#397—611no—
894#397—611no—
895#397—611no—
896#397—611no—
897#397—611no—
898#397—611no—
899#397—611no—
900#397C2×D6111yescharacteristic, complemented
901#397C2×D6111yescharacteristic, complemented
902#396—611no—
903#396—611no—
904#396—611no—
905#396—611no—
906#396—611no—
907#396—611no—
908#396—611no—
909#396—611no—
910#396—611no—
911#396—611no—
912#396—611no—
913#396—611no—
914#396—611no—
915#396—611no—
916#396C2×D6111yescharacteristic, complemented
917#396C2×D6111yescharacteristic, complemented
918#394—611no—
919#394—611no—
920#394—611no—
921#394—611no—
922#394—611no—
923#394—611no—
924#394—611no—
925#394—611no—
926#394—611no—
927#394—611no—
928#394—611no—
929#394—611no—
930#394—611no—
931#394—611no—
932#394—611no—
933#394—611no—
934#394—611no—
935#394—611no—
936#394—611no—
937#394—611no—
938#394—611no—
939#394C2×D6111yescharacteristic
940#394C2×D6111yescharacteristic
941#394C2×D6111yescharacteristic
942#389—611no—
943#389—611no—
944#389—611no—
945#389—611no—
946#389—611no—
947#389—611no—
948#389—611no—
949#389C2×D6111yescharacteristic, complemented
950#388—611no—
951#388—611no—
952#388—611no—
953#388—611no—
954#388—611no—
955#388—611no—
956#388—611no—
957#388—611no—
958#388—611no—
959#388—611no—
960#388—611no—
961#388—611no—
962#388—611no—
963#388—611no—
964#388C2×D6111yescharacteristic, complemented
965#388C2×D6111yescharacteristic, complemented
966C2×#95—611no—
967C2×#95—611no—
968C2×#95—611no—
969C2×#95—611no—
970C2×#95—611no—
971C2×#95—611no—
972C2×#95—611no—
973C2×#95—611no—
974C2×#95—611no—
975C2×#95—611no—
976C61C2×#283711yescharacteristic, complemented, Sylow
977C25—611no—
978C25—611no—
979C22×D4—611no—
980C22×D4—611no—
981C22×D4—611no—
982C22×D4—2442no—
983C22×D4—2442no—
984C22×D4—2442no—
985C22×D4C22×D6111yescharacteristic
986C23×C4—611no—
987C23×C4—611no—
988C23×C4—611no—
989C23×C4—611no—
990C23×C4—611no—
991C23×C4—611no—
992C23×C4—611no—
993C23×C4—611no—
994C23×C4—611no—
995C23×C4—611no—
996C23×C4—611no—
997C23×C4—611no—
998C23×C4—611no—
999C2×C4⋊C4—611no—
1000C2×C4⋊C4—611no—
1001C2×C4⋊C4—611no—
1002C2×C4⋊C4—611no—
1003C2×C4⋊C4—611no—
1004C2×C4⋊C4—611no—
1005C2×C4⋊C4—611no—
1006C2×C4⋊C4—611no—
1007C2×C4⋊C4—611no—
1008C2×C4⋊C4—611no—
1009C2×C4⋊C4—611no—
1010C2×C4⋊C4—611no—
1011C2×C4⋊C4—611no—
1012C2×C4⋊C4—611no—
1013C2×C4⋊C4—611no—
1014C2×C4⋊C4—611no—
1015C2×C4⋊C4—611no—
1016C2×C4⋊C4—611no—
1017C2×C4⋊C4—611no—
1018C2×C4⋊C4—611no—
1019C2×C4⋊C4—611no—
1020C2×C4⋊C4—611no—
1021C2×C4⋊C4—611no—
1022C2×C4⋊C4—611no—
1023C2×C4⋊C4—611no—
1024C2×C4⋊C4—611no—
1025C2×C4⋊C4—611no—
1026C2×C4⋊C4—611no—
1027C2×C4⋊C4—611no—
1028C2×C4⋊C4—611no—
1029C2×C4⋊C4—611no—
1030C2×C4⋊C4—611no—
1031C2×C4⋊C4—611no—
1032C2×C4⋊C4—1224no—
1033C2×C4⋊C4—2442no—
1034C2×C4⋊C4—2442no—
1035C2×C4⋊C4—2442no—
1036C2×C4⋊C4—2442no—
1037C2×C4⋊C4—2442no—
1038C2×C4⋊C4—2442no—
1039C2×C4⋊C4—2442no—
1040C2×C4⋊C4—2442no—
1041C2×C4⋊C4—2442no—
1042C2×C4⋊C4—2442no—
1043C2×C4⋊C4C22×D6111yescharacteristic
1044C2×C4⋊C4C22×D6111yescharacteristic
1045C2×C4⋊C4C22×D6111yescharacteristic
1046C2×C4⋊C4C22×D6111yescharacteristic
1047C2×C4⋊C4C22×D6111yescharacteristic
1048C2×C4⋊C4C22×D6111yescharacteristic
1049C2×C4⋊C4C22×D6111yescharacteristic
1050C2×C4⋊C4C22×D6111yescharacteristic
1051C2×C4⋊C4C22×D6111yescharacteristic
1052C2×C4⋊C4C22×D6111yescharacteristic
1053C2×C4⋊C4C22×D6111yescharacteristic
1054C2×C22⋊C4—611no—
1055C2×C22⋊C4—611no—
1056C2×C22⋊C4—611no—
1057C2×C22⋊C4—611no—
1058C2×C22⋊C4—611no—
1059C2×C22⋊C4—611no—
1060C2×C22⋊C4—611no—
1061C2×C22⋊C4—611no—
1062C2×C22⋊C4—611no—
1063C2×C22⋊C4—611no—
1064C2×C22⋊C4—611no—
1065C2×C22⋊C4—611no—
1066C2×C22⋊C4—611no—
1067C2×C22⋊C4—611no—
1068C2×C22⋊C4—611no—
1069C2×C22⋊C4—611no—
1070C2×C22⋊C4—611no—
1071C2×C22⋊C4—611no—
1072C2×C22⋊C4—611no—
1073C2×C22⋊C4—611no—
1074C2×C22⋊C4—611no—
1075C2×C22⋊C4—611no—
1076C2×C22⋊C4—611no—
1077C2×C22⋊C4—611no—
1078C2×C22⋊C4—611no—
1079C2×C22⋊C4—611no—
1080C2×C22⋊C4—611no—
1081C2×C22⋊C4—611no—
1082C2×C22⋊C4—611no—
1083C2×C22⋊C4—611no—
1084C2×C22⋊C4—611no—
1085C2×C22⋊C4—611no—
1086C2×C22⋊C4—611no—
1087C2×C22⋊C4—611no—
1088C2×C22⋊C4—611no—
1089C2×C22⋊C4—611no—
1090C2×C22⋊C4—1224no—
1091C2×C22⋊C4—1224no—
1092C2×C22⋊C4—2442no—
1093C2×C22⋊C4—2442no—
1094C2×C22⋊C4—2442no—
1095C2×C22⋊C4—2442no—
1096C2×C22⋊C4—2442no—
1097C2×C22⋊C4—2442no—
1098C2×C22⋊C4—2442no—
1099C2×C22⋊C4—2442no—
1100C2×C22⋊C4—2442no—
1101C2×C22⋊C4—2442no—
1102C2×C22⋊C4C22×D6111yescharacteristic
1103C2×C22⋊C4C22×D6111yescharacteristic
1104C2×C22⋊C4C22×D6111yescharacteristic
1105C2×C22⋊C4C22×D6111yescharacteristic
1106C2×C22⋊C4C22×D6111yescharacteristic
1107C2×C22⋊C4C22×D6111yescharacteristic
1108C2×C22⋊C4C22×D6111yescharacteristic
1109C2×C22⋊C4C22×D6111yescharacteristic
1110C2×C22⋊C4C22×D6111yescharacteristic
1111C2×C22⋊C4C22×D6111yescharacteristic
1112C2×C22⋊C4C22×D6111yescharacteristic
1113C2×C22⋊C4C22×D6111yescharacteristic
1114C2×C42—611no—
1115C2×C42—611no—
1116C2×C42—611no—
1117C2×C42—2442no—
1118C2×C42C22×D6111yescharacteristic
1119#95—611no—
1120#95—611no—
1121#95—611no—
1122#95—611no—
1123#95—611no—
1124#95—611no—
1125#95—611no—
1126#95—611no—
1127#95—611no—
1128#95—611no—
1129#95—611no—
1130#95—611no—
1131#95—611no—
1132#95—611no—
1133#95—611no—
1134#95—611no—
1135#95—611no—
1136#95—611no—
1137#95—611no—
1138#95—611no—
1139#95—611no—
1140#95—611no—
1141#95—611no—
1142#95—611no—
1143#95—611no—
1144#95—611no—
1145#95—611no—
1146#95—611no—
1147#95—611no—
1148#95—611no—
1149#95C22×D6111yescharacteristic
1150#95C22×D6111yescharacteristic
1151#95C22×D6111yescharacteristic
1152#95C22×D6111yescharacteristic
1153#95C22×D6111yescharacteristic
1154#95C22×D6111yescharacteristic
1155#95C22×D6111yescharacteristic
1156#95C22×D6111yescharacteristic
1157#95C22×D6111yescharacteristic
1158#95C22×D6111yescharacteristic
1159C24—611no—
1160C24—611no—
1161C24—611no—
1162C24—1222no—
1163C24—1222no—
1164C24—1222no—
1165C24—1222no—
1166C24—1222no—
1167C24—1222no—
1168C24—1222no—
1169C24—1222no—
1170C24—1222no—
1171C24—1222no—
1172C24—1222no—
1173C24—1222no—
1174C24—1222no—
1175C24—1222no—
1176C24C23×D6111yescharacteristic
1177C24C23×D6111yescharacteristic
1178C2×D4—41no—
1179C2×D4—41no—
1180C2×D4—41no—
1181C2×D4—2441no—
1182C2×D4—2441no—
1183C2×D4—2441no—
1184C2×D4—2441no—
1185C2×D4—2441no—
1186C2×D4—2441no—
1187C2×D4—2441no—
1188C2×D4—2441no—
1189C2×D4—2441no—
1190C2×D4—24416no—
1191C22×C4—611no—
1192C22×C4—614no—
1193C22×C4—611no—
1194C22×C4—611no—
1195C22×C4—611no—
1196C22×C4—611no—
1197C22×C4—611no—
1198C22×C4—611no—
1199C22×C4—611no—
1200C22×C4—611no—
1201C22×C4—611no—
1202C22×C4—611no—
1203C22×C4—611no—
1204C22×C4—611no—
1205C22×C4—1222no—
1206C22×C4—1222no—
1207C22×C4—1222no—
1208C22×C4—1222no—
1209C22×C4—1222no—
1210C22×C4—1222no—
1211C22×C4—1222no—
1212C22×C4—1222no—
1213C22×C4—1222no—
1214C22×C4—1222no—
1215C22×C4—1222no—
1216C22×C4—1222no—
1217C22×C4—1222no—
1218C22×C4—1222no—
1219C22×C4—1222no—
1220C22×C4—1222no—
1221C22×C4—1222no—
1222C22×C4—1222no—
1223C22×C4—1222no—
1224C22×C4—1222no—
1225C22×C4—1222no—
1226C22×C4—1222no—
1227C22×C4—1222no—
1228C22×C4—1222no—
1229C22×C4—1222no—
1230C22×C4—1222no—
1231C22×C4—1222no—
1232C22×C4—1222no—
1233C22×C4—1222no—
1234C22×C4—1222no—
1235C22×C4—1222no—
1236C22×C4—1222no—
1237C22×C4—1222no—
1238C22×C4—1222no—
1239C22×C4—1222no—
1240C22×C4—1222no—
1241C22×C4—1222no—
1242C22×C4—1222no—
1243C22×C4C23×D6111yescharacteristic
1244C22×C4C23×D6111yescharacteristic
1245C22×C4C23×D6111yescharacteristic
1246C22×C4C23×D6111yescharacteristic
1247C22×C4C23×D6111yescharacteristic
1248C22×C4C23×D6111yescharacteristic
1249C22×C4C23×D6111yescharacteristic
1250C22×C4C23×D6111yescharacteristic
1251C22×C4C23×D6111yescharacteristic
1252C22×C4C23×D6111yescharacteristic
1253C22×C4C23×D6111yescharacteristic
1254C22×C4C23×D6111yescharacteristic
1255C22×C4C23×D6111yescharacteristic
1256C4⋊C4—22no—
1257C4⋊C4—41no—
1258C4⋊C4—41no—
1259C4⋊C4—41no—
1260C4⋊C4—41no—
1261C4⋊C4—41no—
1262C4⋊C4—41no—
1263C4⋊C4—41no—
1264C4⋊C4—41no—
1265C4⋊C4—41no—
1266C4⋊C4—41no—
1267C4⋊C4—1222no—
1268C4⋊C4—1222no—
1269C4⋊C4—1222no—
1270C4⋊C4—2441no—
1271C4⋊C4—2441no—
1272C4⋊C4—2441no—
1273C4⋊C4—2441no—
1274C4⋊C4—2441no—
1275C4⋊C4—2441no—
1276C4⋊C4—2441no—
1277C4⋊C4—2441no—
1278C4⋊C4—2441no—
1279C4⋊C4—2441no—
1280C4⋊C4—2441no—
1281C4⋊C4—2441no—
1282C4⋊C4—2441no—
1283C4⋊C4—2441no—
1284C4⋊C4—2441no—
1285C4⋊C4—2441no—
1286C4⋊C4—2441no—
1287C4⋊C4—2441no—
1288C4⋊C4—2441no—
1289C4⋊C4—2441no—
1290C4⋊C4—2441no—
1291C4⋊C4—2441no—
1292C4⋊C4—2441no—
1293C4⋊C4—2441no—
1294C4⋊C4—2441no—
1295C4⋊C4—2441no—
1296C4⋊C4—2441no—
1297C4⋊C4—2441no—
1298C4⋊C4—2441no—
1299C4⋊C4—2441no—
1300C22⋊C4—22no—
1301C22⋊C4—22no—
1302C22⋊C4—41no—
1303C22⋊C4—41no—
1304C22⋊C4—41no—
1305C22⋊C4—41no—
1306C22⋊C4—41no—
1307C22⋊C4—41no—
1308C22⋊C4—41no—
1309C22⋊C4—41no—
1310C22⋊C4—41no—
1311C22⋊C4—41no—
1312C22⋊C4—1222no—
1313C22⋊C4—1222no—
1314C22⋊C4—1222no—
1315C22⋊C4—1222no—
1316C22⋊C4—1222no—
1317C22⋊C4—1222no—
1318C22⋊C4—2441no—
1319C22⋊C4—2441no—
1320C22⋊C4—2441no—
1321C22⋊C4—2441no—
1322C22⋊C4—2441no—
1323C22⋊C4—2441no—
1324C22⋊C4—2441no—
1325C22⋊C4—2441no—
1326C22⋊C4—2441no—
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—
1348C42—41no—
1349C42—2441no—
1350C42—2441no—
1351C42—2441no—
1352C23—21no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—612no—
1367C23—612no—
1368C23—612no—
1369C23—612no—
1370C23—612no—
1371C23—612no—
1372C23—612no—
1373C23—1221no—
1374C23—1221no—
1375C23—1221no—
1376C23—1221no—
1377C23—1221no—
1378C23—1221no—
1379C23—1221no—
1380C23—1221no—
1381C23—1221no—
1382C23—1221no—
1383C23—1221no—
1384C23—1221no—
1385C23—1221no—
1386C23—1221no—
1387C23—2444no—
1388C23—2444no—
1389C23—2444no—
1390C23—2444no—
1391C23—2444no—
1392C23—2444no—
1393C23—2444no—
1394C23—2444no—
1395C23—2444no—
1396C23—2444no—
1397C23—2444no—
1398C23—2444no—
1399C23—2444no—
1400C23—2444no—
1401C23C24×D6111yescharacteristic
1402D4—44no—
1403D4—2444no—
1404D4—2444no—
1405D4—2444no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—612no—
1445C2×C4—1228no—
1446C2×C4—1221no—
1447C2×C4—1221no—
1448C2×C4—1221no—
1449C2×C4—1221no—
1450C2×C4—1221no—
1451C2×C4—1221no—
1452C2×C4—1221no—
1453C2×C4—1221no—
1454C2×C4—1221no—
1455C2×C4—1221no—
1456C2×C4—1221no—
1457C2×C4—1221no—
1458C2×C4—1221no—
1459C2×C4—1221no—
1460C2×C4—1221no—
1461C2×C4—1221no—
1462C2×C4—1221no—
1463C2×C4—1221no—
1464C2×C4—1221no—
1465C2×C4—1221no—
1466C2×C4—1221no—
1467C2×C4—1221no—
1468C2×C4—1221no—
1469C2×C4—1221no—
1470C2×C4—1221no—
1471C2×C4—1221no—
1472C2×C4—1221no—
1473C2×C4—1221no—
1474C2×C4—1221no—
1475C2×C4—1221no—
1476C2×C4—1221no—
1477C2×C4—1221no—
1478C2×C4—1221no—
1479C2×C4—1221no—
1480C2×C4—1221no—
1481C2×C4—1221no—
1482C2×C4—1221no—
1483C2×C4—1221no—
1484C2×C4—2444no—
1485C2×C4—2444no—
1486C2×C4—2444no—
1487C2×C4—2444no—
1488C2×C4—2444no—
1489C2×C4—2444no—
1490C2×C4—2444no—
1491C2×C4—2444no—
1492C2×C4—2444no—
1493C2×C4—2444no—
1494C2×C4—2444no—
1495C2×C4—2444no—
1496C2×C4#41×D6112yes—
1497C22—41no—
1498C22—41no—
1499C22—41no—
1500C22—41no—
1501C22—41no—
1502C22—41no—
1503C22—41no—
1504C22—41no—
1505C22—41no—
1506C22—41no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—614no—
1512C22—614no—
1513C22—614no—
1514C22—614no—
1515C22—614no—
1516C22—614no—
1517C22—614no—
1518C22—4888no—
1519C22—4888no—
1520C22—2441no—
1521C22—2441no—
1522C22—2441no—
1523C22—2441no—
1524C22—2441no—
1525C22—2441no—
1526C22—2441no—
1527C22—2441no—
1528C22—2441no—
1529C22—2441no—
1530C22—2441no—
1531C22—2441no—
1532C22—2441no—
1533C22—2441no—
1534C22C2×#41×D6111yescharacteristic
1535C22H(5,𝔽2)×D6111yescharacteristic
1536C22H(5,𝔽2)×D6111yescharacteristic
1537C22H(5,𝔽2)×D6111yescharacteristic
1538C22H(5,𝔽2)×D6111yescharacteristic
1539C222−1+4×D6111yescharacteristic
1540C222−1+4×D6111yescharacteristic
1541C4—22no—
1542C4—41no—
1543C4—41no—
1544C4—41no—
1545C4—41no—
1546C4—41no—
1547C4—41no—
1548C4—41no—
1549C4—41no—
1550C4—41no—
1551C4—41no—
1552C4—41no—
1553C4—41no—
1554C4—1222no—
1555C4—2441no—
1556C4—2441no—
1557C4—2441no—
1558C4—2441no—
1559C4—2441no—
1560C4—2441no—
1561C4—2441no—
1562C4—2441no—
1563C4—2441no—
1564C4—2441no—
1565C4—2441no—
1566C4—2441no—
1567C2—81no—
1568C2—81no—
1569C2—618no—
1570C2—4881no—
1571C2—4881no—
1572C2#539×D6111yescharacteristic
1573C2#540×D6111yescharacteristic
1574C2#542×D6111yescharacteristic
1575C2#560×D6111yescharacteristic
1576C2#562×D6111yescharacteristic
1577C2#562×D6111yescharacteristic
1578C2#563×D6111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutator, socle, cosocleC23×C61C25
FittingC61×#2837C2
prime radicalC22×D4×D61C22
hypercenter#2837D61
hypocenterC61C2×#2837
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2837

Complements

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

NH ≅ G/Ntype
1. #21454040C2semidirect
2. #21454039C2semidirect
3. #21454038C2semidirect
4. #21454037C2semidirect
5. #21454036C2semidirect
6. #21454035C2semidirect
7. #21454034C2semidirect
8. #21454033C2semidirect
9. #21454032C2semidirect
10. #21454031C2semidirect
11. #21454030C2semidirect
12. #21454029C2semidirect
13. #21454028C2semidirect
14. #21454027C2semidirect
15. #21454026C2semidirect
16. #400×D61C2semidirect
17. #399×D61C2semidirect
18. #399×D61C2semidirect
19. #398×D61C2semidirect
20. #398×D61C2semidirect
21. #397×D61C2semidirect
22. #397×D61C2semidirect
23. #396×D61C2semidirect
24. #396×D61C2semidirect
28. #389×D61C2semidirect
29. #388×D61C2semidirect
30. #388×D61C2semidirect
31. C61×#2837C2semidirect
57. #16839704C22semidirect
58. #16839704C22semidirect
59. #16839703C22semidirect
60. #16839703C22semidirect
61. #16839702C22semidirect
62. #16839701C22semidirect
63. #16839700C22semidirect
64. #16839699C22semidirect
65. #16839699C22semidirect
66. #16839698C22semidirect
67. #16839698C22semidirect
68. #16839698C22semidirect
69. #16839698C22semidirect
70. #16839698C22semidirect
71. #16839698C22semidirect
72. #16839697C22semidirect
73. #16839697C22semidirect
74. #16839697C22semidirect
75. #16839697C22semidirect
76. #16839697C22semidirect
77. #16839697C22semidirect
78. #16839696C22semidirect
79. #16839696C22semidirect
80. #16839696C22semidirect
81. #16839696C22semidirect
82. #16839695C22semidirect
83. #16839695C22semidirect
84. #16839695C22semidirect
85. #16839695C22semidirect
86. #16839694C22semidirect
87. #16839694C22semidirect
88. #16839693C22semidirect
89. #16839693C22semidirect
90. #16839692C22semidirect
91. #16839692C22semidirect
92. #16839691C22semidirect
93. #16839691C22semidirect
94. #16839691C22semidirect
95. #16839691C22semidirect
96. #16839690C22semidirect
97. #16839690C22semidirect
98. #16839690C22semidirect
99. #16839690C22semidirect
100. #16839689C22semidirect
101. #16839689C22semidirect
102. #16839688C22semidirect
103. #16839688C22semidirect
104. #16839687C22semidirect
105. #16839687C22semidirect
106. #16839686C22semidirect
107. #16839686C22semidirect
108. #16839685C22semidirect
109. #16839685C22semidirect
110. #16839685C22semidirect
111. #16839685C22semidirect
112. #16839685C22semidirect
113. #16839685C22semidirect
114. #16839684C22semidirect
115. #16839684C22semidirect
116. #16839684C22semidirect
117. #16839684C22semidirect
118. #16839684C22semidirect
119. #16839684C22semidirect
141. #16839661C22semidirect
142. #16839660C22semidirect
143. #16839659C22semidirect
144. #16839659C22semidirect
145. #16839658C22semidirect
146. #16839657C22semidirect
147. #16839657C22semidirect
148. #16839656C22semidirect
149. #16839656C22semidirect
150. #16839655C22semidirect
151. #16839655C22semidirect
152. #16839654C22semidirect
153. #16839654C22semidirect
154. #16839653C22semidirect
155. #16839653C22semidirect
156. #16839652C22semidirect
157. #16839652C22semidirect
158. #16839651C22semidirect
159. #16839651C22semidirect
160. #16839650C22semidirect
161. #16839650C22semidirect
172. C61×#400C22semidirect
173. C61×#399C22semidirect
174. C61×#399C22semidirect
175. C61×#398C22semidirect
176. C61×#398C22semidirect
177. C61×#397C22semidirect
178. C61×#397C22semidirect
179. C61×#396C22semidirect
180. C61×#396C22semidirect
184. C61×#389C22semidirect
185. C61×#388C22semidirect
186. C61×#388C22semidirect
793. #2837D61direct (N × H)
820. D61#2837direct (N × H)
853. #400C2×D61semidirect
868. #399C2×D61semidirect
869. #399C2×D61semidirect
884. #398C2×D61semidirect
885. #398C2×D61semidirect
900. #397C2×D61semidirect
901. #397C2×D61semidirect
916. #396C2×D61semidirect
917. #396C2×D61semidirect
949. #389C2×D61semidirect
964. #388C2×D61semidirect
965. #388C2×D61semidirect
976. C61C2×#2837semidirect

Maximal subgroups

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

subgroupindex
#214540402
#214540392
#214540382
#214540372
#214540362
#214540352
#214540342
#214540332
#214540322
#214540312
#214540302
#214540292
#214540282
#214540272
#214540262
#400×D612
#399×D612
#398×D612
#397×D612
#396×D612
#394×D612
#389×D612
#388×D612
C61×#28372
C2×#283761