Finite Group Databasebeta

← D61×#2444 #29847743

Subgroups — D61×#2444 #29847743

Order 15616.

3546 conjugacy classes of subgroups.

The subgroup lattice has 1842 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#121×D61C211yesmaximal, characteristic
2C2×C4×D4×D61C211yesmaximal, characteristic, complemented
3#21449576C211yesmaximal, characteristic, complemented
4#21449575C211yesmaximal, characteristic, complemented
5#21449574C211yesmaximal, characteristic, complemented
6#21449573C211yesmaximal, characteristic, complemented
7#21449572C211yesmaximal, characteristic, complemented
8#21449571C211yesmaximal, characteristic, complemented
9#21449570C211yesmaximal, characteristic, complemented
10#21449569C211yesmaximal, characteristic, complemented
11#21449568C211yesmaximal, characteristic, complemented
12#21449567C211yesmaximal, characteristic, complemented
13#21449566C211yesmaximal, characteristic, complemented
14#21449565C211yesmaximal, characteristic, complemented
15#21449564C211yesmaximal, characteristic, complemented
16#21449563C211yesmaximal, characteristic, complemented
17#21449562C211yesmaximal, characteristic, complemented
18#400×D61C211yesmaximal, characteristic, complemented
19#397×D61C211yesmaximal, characteristic, complemented
20#397×D61C211yesmaximal, characteristic, complemented
21#394×D61C211yesmaximal, characteristic, complemented
22#388×D61C211yesmaximal, characteristic, complemented
23#387×D61C211yesmaximal, characteristic, complemented
24#386×D61C211yesmaximal, characteristic, complemented
25#386×D61C211yesmaximal, characteristic, complemented
26#386×D61C211yesmaximal, characteristic, complemented
27#386×D61C211yesmaximal, characteristic, complemented
28#385×D61C211yesmaximal, characteristic, complemented
29#381×D61C211yesmaximal, characteristic, complemented
30C2×#95×D61C211yesmaximal, characteristic, complemented
31C61×#2444C211yesmaximal, characteristic, complemented
32C22×D4×D61C2211yescharacteristic
33C22×D4×D61C2211yescharacteristic
34C22×D4×D61C2211yescharacteristic
35C23×C4×D61C2211yescharacteristic
36C23×C4×D61C2211yescharacteristic
37C23×C4×D61C2211yescharacteristic
38C23×C4×D61C2211yescharacteristic
39C2×#14519752C2211yescharacteristic
40C2×#14519751C2211yescharacteristic
41C2×#14519750C2211yescharacteristic
42C2×#14519750C2211yescharacteristic
43C2×#14519749C2211yescharacteristic
44C2×#14519749C2211yescharacteristic
45C2×#14519748C2211yescharacteristic
46#121×D61—28no—
47C2×C4×D244C2211yescharacteristic, complemented
48C2×D4×Dic61C2211yescharacteristic, complemented
49C2×#14519739C2211yescharacteristic, complemented
50C2×C4×C22⋊D61C2211yescharacteristic, complemented
51C2×C4×C22⋊D61C2211yescharacteristic, complemented
52C2×#14519737C2211yescharacteristic, complemented
53C2×#14519737C2211yescharacteristic, complemented
54C4×D4×D61—28no—
55C2×C4⋊C4×D61C2211yescharacteristic
56C2×C4⋊C4×D61C2211yescharacteristic
57C2×C4⋊C4×D61C2211yescharacteristic
58C2×C4⋊C4×D61C2211yescharacteristic
59C2×C22⋊C4×D61C2211yescharacteristic
60C2×C22⋊C4×D61C2211yescharacteristic
61C2×C22⋊C4×D61C2211yescharacteristic
62C2×C22⋊C4×D61C2211yescharacteristic
63C2×C22⋊C4×D61C2211yescharacteristic
64C2×C22⋊C4×D61C2211yescharacteristic
65C2×C22⋊C4×D61C2211yescharacteristic
66C2×C22⋊C4×D61C2211yescharacteristic
67C2×C22⋊C4×D61C2211yescharacteristic
68C2×C22⋊C4×D61C2211yescharacteristic
69C2×C22⋊C4×D61C2211yescharacteristic
70C2×C42×D61C2211yescharacteristic
71#16839704C2211yescharacteristic, complemented
72#16839704C2211yescharacteristic, complemented
73#16839703C2211yescharacteristic, complemented
74#16839703C2211yescharacteristic, complemented
75#16839702C2211yescharacteristic, complemented
76#16839701C2211yescharacteristic, complemented
77#16839700C2211yescharacteristic, complemented
78#16839691C2211yescharacteristic, complemented
79#16839691C2211yescharacteristic, complemented
80#16839691C2211yescharacteristic, complemented
81#16839691C2211yescharacteristic, complemented
82#16839690C2211yescharacteristic, complemented
83#16839690C2211yescharacteristic, complemented
84#16839690C2211yescharacteristic, complemented
85#16839690C2211yescharacteristic, complemented
86#16839689C2211yescharacteristic, complemented
87#16839689C2211yescharacteristic, complemented
88#16839688C2211yescharacteristic, complemented
89#16839688C2211yescharacteristic, complemented
90#16839687C2211yescharacteristic, complemented
91#16839687C2211yescharacteristic, complemented
92#16839680C2211yescharacteristic, complemented
93#16839679C2211yescharacteristic, complemented
94#16839678C2211yescharacteristic, complemented
95#16839678C2211yescharacteristic, complemented
96#16839677C2211yescharacteristic, complemented
97#16839677C2211yescharacteristic, complemented
98#16839676C2211yescharacteristic, complemented
99#16839656C2211yescharacteristic, complemented
100#16839655C2211yescharacteristic, complemented
101#16839654C2211yescharacteristic, complemented
102#16839653C2211yescharacteristic, complemented
103#16839652C2211yescharacteristic, complemented
104#16839651C2211yescharacteristic, complemented
105#16839650C2211yescharacteristic, complemented
106#16839649C2211yescharacteristic, complemented
107#16839648C2211yescharacteristic, complemented
108#16839647C2211yescharacteristic, complemented
109#16839646C2211yescharacteristic, complemented
110#16839645C2211yescharacteristic, complemented
111#16839644C2211yescharacteristic, complemented
112#16839643C2211yescharacteristic, complemented
113#16839642C2211yescharacteristic, complemented
114#16839642C2211yescharacteristic, complemented
115#16839642C2211yescharacteristic, complemented
116#16839642C2211yescharacteristic, complemented
117#16839641C2211yescharacteristic, complemented
118#16839641C2211yescharacteristic, complemented
119#16839641C2211yescharacteristic, complemented
120#16839641C2211yescharacteristic, complemented
121#16839640C2211yescharacteristic, complemented
122#16839640C2211yescharacteristic, complemented
123#16839640C2211yescharacteristic, complemented
124#16839640C2211yescharacteristic, complemented
125#16839640C2211yescharacteristic, complemented
126#16839640C2211yescharacteristic, complemented
127#16839640C2211yescharacteristic, complemented
128#16839640C2211yescharacteristic, complemented
129#16839639C2211yescharacteristic, complemented
130#16839639C2211yescharacteristic, complemented
131#16839639C2211yescharacteristic, complemented
132#16839639C2211yescharacteristic, complemented
133#16839638C2211yescharacteristic, complemented
134#16839638C2211yescharacteristic, complemented
135#16839638C2211yescharacteristic, complemented
136#16839638C2211yescharacteristic, complemented
137#16839638C2211yescharacteristic, complemented
138#16839638C2211yescharacteristic, complemented
139#16839638C2211yescharacteristic, complemented
140#16839638C2211yescharacteristic, complemented
141#16839637C2211yescharacteristic, complemented
142#16839636C2211yescharacteristic, complemented
143#16839636C2211yescharacteristic, complemented
144#16839635C2211yescharacteristic, complemented
145#16839634C2211yescharacteristic, complemented
146#16839633C2211yescharacteristic, complemented
147#16839633C2211yescharacteristic, complemented
148#16839625C2211yescharacteristic, complemented
149#16839624C2211yescharacteristic, complemented
150#16839624C2211yescharacteristic, complemented
151#16839624C2211yescharacteristic, complemented
152#16839624C2211yescharacteristic, complemented
153#16839623C2211yescharacteristic, complemented
154#16839623C2211yescharacteristic, complemented
155C2×#14519684C2211yescharacteristic, complemented
156C2×#14519684C2211yescharacteristic, complemented
157C2×#14519684C2211yescharacteristic, complemented
158#95×D61C2211yescharacteristic
159#95×D61C2211yescharacteristic
160#95×D61C2211yescharacteristic
161#95×D61C2211yescharacteristic
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, complemented
171#95×D61C2211yescharacteristic, complemented
172#95×D61C2211yescharacteristic, complemented
173#95×D61C2211yescharacteristic, complemented
174C2×#121×C61C2211yescharacteristic
175C2×C4×D4×C61C2211yescharacteristic, complemented
176C61×#400C2211yescharacteristic, complemented
177C61×#397C2211yescharacteristic, complemented
178C61×#397C2211yescharacteristic, complemented
179C61×#394C2211yescharacteristic, complemented
180C61×#388C2211yescharacteristic, complemented
181C61×#387C2211yescharacteristic, complemented
182C61×#386C2211yescharacteristic, complemented
183C61×#386C2211yescharacteristic, complemented
184C61×#386C2211yescharacteristic, complemented
185C61×#386C2211yescharacteristic, complemented
186C61×#385C2211yescharacteristic, complemented
187C61×#381C2211yescharacteristic, complemented
188C2×#95×C61C2211yescharacteristic, complemented
189C24×D61C2311yescharacteristic
190C24×D61C2311yescharacteristic
191C24×D61C2311yescharacteristic
192C22×D244C2311yescharacteristic
193C22×D244C2311yescharacteristic
194C22×D244C2311yescharacteristic
195C22×C22⋊D61C2311yescharacteristic
196C22×C22⋊D61C2311yescharacteristic
197C22×C22⋊D61C2311yescharacteristic
198C22×C22⋊D61C2311yescharacteristic
199C22×C22⋊D61C2311yescharacteristic
200C22×C22⋊D61C2311yescharacteristic
201C2×D4×D61—24no—
202C2×D4×D61—24no—
203C2×D4×D61—24no—
204C2×D4×D61—24no—
205C2×D4×D61—24no—
206C2×D4×D61—24no—
207C2×D4×D61—24no—
208C2×D4×D61—42no—
209C2×D4×D61D418yes—
210C23×Dic61C2311yescharacteristic
211C23×Dic61C2311yescharacteristic
212C23×Dic61C2311yescharacteristic
213C23×Dic61C2311yescharacteristic
214C22×C4×D61—24no—
215C22×C4×D61—24no—
216C22×C4×D61—24no—
217C22×C4×D61—24no—
218C22×C4×D61—24no—
219C22×C4×D61—24no—
220C22×C4×D61—24no—
221C22×C4×D61—42no—
222C22×C4×D61—42no—
223C22×C4×D61—42no—
224C22×C4×D61—42no—
225C22×C4×D61—42no—
226C22×C4×D61C2311yescharacteristic
227C22×C4×D61C2311yescharacteristic
228C22×C4×D61C2311yescharacteristic
229C22×C4×D61C2311yescharacteristic
230C22×C4×D61C2311yescharacteristic
231C22×C4×D61C2311yescharacteristic
232C22×C4×D61C2311yescharacteristic
233C22×C4×D61C2311yescharacteristic
234C22×C4×D61C2311yescharacteristic
235C22×C4×D61C2311yescharacteristic
236C22×C4×D61C2311yescharacteristic
237C22×C4×D61C2311yescharacteristic
238C22×C4×D61C2311yescharacteristic
239C22×C4×D61C2311yescharacteristic
240C22×C4×D61C2311yescharacteristic
241C22×C4×D61C2311yescharacteristic
242C22×C4×D61C2311yescharacteristic
243C22×C4×D61C2311yescharacteristic
244C22×C4×D61C2311yescharacteristic
245C22×C4×D61C2311yescharacteristic
246#14519752—24no—
247#14519751—24no—
248#14519750—24no—
249#14519750—24no—
250#14519749—24no—
251#14519749—24no—
252#14519748—24no—
253C4×D244—24no—
254D4×Dic61—24no—
255#14519739—24no—
256C4×C22⋊D61—24no—
257C4×C22⋊D61—24no—
258#14519737—24no—
259#14519737—24no—
260C2×C4⋊Dic61C2311yescharacteristic
261C2×C4⋊Dic61C2311yescharacteristic
262C2×C4⋊Dic61C2311yescharacteristic
263C2×C4⋊Dic61C2311yescharacteristic
264C2×#11758196C2311yescharacteristic
265C2×#11758196C2311yescharacteristic
266C2×#11758196C2311yescharacteristic
267C2×#11758196C2311yescharacteristic
268C2×#11758196C2311yescharacteristic
269C2×#11758196C2311yescharacteristic
270C2×#11758196C2311yescharacteristic
271C2×#11758196C2311yescharacteristic
272C4⋊C4×D61—24no—
273C4⋊C4×D61—24no—
274C4⋊C4×D61—24no—
275C4⋊C4×D61—42no—
276C2×C22⋊Dic61C2311yescharacteristic
277C2×C22⋊Dic61C2311yescharacteristic
278C2×C22⋊Dic61C2311yescharacteristic
279C2×C22⋊Dic61C2311yescharacteristic
280C2×C22⋊Dic61C2311yescharacteristic
281C2×C22⋊Dic61C2311yescharacteristic
282C2×C22⋊Dic61C2311yescharacteristic
283C2×C22⋊Dic61C2311yescharacteristic
284C2×C22⋊Dic61C2311yescharacteristic
285C2×C22⋊Dic61C2311yescharacteristic
286C2×C22⋊Dic61C2311yescharacteristic
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—24no—
310C22⋊C4×D61—24no—
311C22⋊C4×D61—24no—
312C22⋊C4×D61—24no—
313C22⋊C4×D61—24no—
314C22⋊C4×D61—24no—
315C22⋊C4×D61—42no—
316C22⋊C4×D61—42no—
317C22⋊C4×D61—42no—
318C22⋊C4×D61—42no—
319C22⋊C4×D61—42no—
320C2×C4×Dic61C2311yescharacteristic
321C2×C4×Dic61C2311yescharacteristic
322C2×C4×Dic61C2311yescharacteristic
323C42×D61—24no—
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
340#14519684C2311yescharacteristic
341#14519684C2311yescharacteristic
342#14519684C2311yescharacteristic
343#14519684C2311yescharacteristic
344#14519684C2311yescharacteristic
345#14519684C2311yescharacteristic
346#14519684C2311yescharacteristic
347#14519684C2311yescharacteristic
348#14519684C2311yescharacteristic
349#14519684C2311yescharacteristic
350#14519684C2311yescharacteristic
351#14519684C2311yescharacteristic
352#14519684C2311yescharacteristic
353#14519684C2311yescharacteristic
354#14519684C2311yescharacteristic
355#14519684C2311yescharacteristic
356#14519684C2311yescharacteristic
357#14519684C2311yescharacteristic
358#14519684C2311yescharacteristic
359#14519684C2311yescharacteristic
360C22×D4×C61C2311yescharacteristic
361C22×D4×C61C2311yescharacteristic
362C22×D4×C61C2311yescharacteristic
363C23×C4×C61C2311yescharacteristic
364C23×C4×C61C2311yescharacteristic
365C23×C4×C61C2311yescharacteristic
366C23×C4×C61C2311yescharacteristic
367#121×C61—24no—
368C4×D4×C61—24no—
369C2×C4⋊C4×C61C2311yescharacteristic
370C2×C4⋊C4×C61C2311yescharacteristic
371C2×C4⋊C4×C61C2311yescharacteristic
372C2×C4⋊C4×C61C2311yescharacteristic
373C2×C22⋊C4×C61C2311yescharacteristic
374C2×C22⋊C4×C61C2311yescharacteristic
375C2×C22⋊C4×C61C2311yescharacteristic
376C2×C22⋊C4×C61C2311yescharacteristic
377C2×C22⋊C4×C61C2311yescharacteristic
378C2×C22⋊C4×C61C2311yescharacteristic
379C2×C22⋊C4×C61C2311yescharacteristic
380C2×C22⋊C4×C61C2311yescharacteristic
381C2×C22⋊C4×C61C2311yescharacteristic
382C2×C22⋊C4×C61C2311yescharacteristic
383C2×C22⋊C4×C61C2311yescharacteristic
384C2×C42×C61C2311yescharacteristic
385#95×C61C2311yescharacteristic
386#95×C61C2311yescharacteristic
387#95×C61C2311yescharacteristic
388#95×C61C2311yescharacteristic
389#95×C61C2311yescharacteristic
390#95×C61C2311yescharacteristic
391#95×C61C2311yescharacteristic
392#95×C61C2311yescharacteristic
393#95×C61C2311yescharacteristic
394#95×C61C2311yescharacteristic
395#95×C61C2311yescharacteristic
396#95×C61C2311yescharacteristic
397C24×C61C2411yescharacteristic
398C24×C61C2411yescharacteristic
399C24×C61C2411yescharacteristic
400C23×D61—22no—
401C23×D61—22no—
402C23×D61—22no—
403C23×D61—22no—
404C23×D61—22no—
405C23×D61—22no—
406C23×D61—22no—
407C23×D61—22no—
408C23×D61—22no—
409C23×D61—22no—
410C23×D61—22no—
411C23×D61—22no—
412C23×D61—22no—
413C23×D61—22no—
414C23×D61—22no—
415C23×D61—22no—
416C23×D61—22no—
417C23×D61C2×D414yes—
418C23×D61C2×D414yes—
419C23×D61#4114yes—
420C23×D61#4114yes—
421C23×D61C2411yescharacteristic
422C23×D61C2411yescharacteristic
423C23×D61C2411yescharacteristic
424C23×D61C2411yescharacteristic
425C2×D4×C61—22no—
426C2×D4×C61—22no—
427C2×D4×C61—22no—
428C2×D4×C61—22no—
429C2×D4×C61—22no—
430C2×D4×C61—22no—
431C2×D4×C61—22no—
432C2×D4×C61—41no—
433C2×D4×C61C2×D414yes—
434C22×C4×C61—22no—
435C22×C4×C61—22no—
436C22×C4×C61—22no—
437C22×C4×C61—22no—
438C22×C4×C61—22no—
439C22×C4×C61—22no—
440C22×C4×C61—22no—
441C22×C4×C61—41no—
442C22×C4×C61—41no—
443C22×C4×C61—41no—
444C22×C4×C61—41no—
445C22×C4×C61—41no—
446C22×C4×C61C2411yescharacteristic
447C22×C4×C61C2411yescharacteristic
448C22×C4×C61C2411yescharacteristic
449C22×C4×C61C2411yescharacteristic
450C22×C4×C61C2411yescharacteristic
451C22×C4×C61C2411yescharacteristic
452C22×C4×C61C2411yescharacteristic
453C22×C4×C61C2411yescharacteristic
454C22×C4×C61C2411yescharacteristic
455C22×C4×C61C2411yescharacteristic
456C22×C4×C61C2411yescharacteristic
457C22×C4×C61C2411yescharacteristic
458C2×C22⋊D61—22no—
459C2×C22⋊D61—22no—
460C2×C22⋊D61—22no—
461C2×C22⋊D61—22no—
462C2×C22⋊D61—22no—
463C2×C22⋊D61—22no—
464C2×C22⋊D61—22no—
465C2×C22⋊D61—22no—
466C2×C22⋊D61—22no—
467C2×C22⋊D61—22no—
468C2×C22⋊D61—22no—
469C2×C22⋊D61—22no—
470C2×C22⋊D61—22no—
471C2×C22⋊D61—22no—
472C2×C22⋊D61—41no—
473C2×C22⋊D61—41no—
474C2×C22⋊D61C2×D414yes—
475C2×C22⋊D61C2×D414yes—
476C22×Dic61—22no—
477C22×Dic61—22no—
478C22×Dic61—22no—
479C22×Dic61—22no—
480C22×Dic61—22no—
481C22×Dic61—22no—
482C22×Dic61—22no—
483C22×Dic61—41no—
484C22×Dic61—41no—
485C22×Dic61—41no—
486C22×Dic61—41no—
487C22×Dic61—41no—
488C22×Dic61C2411yescharacteristic
489C22×Dic61C2411yescharacteristic
490C22×Dic61C2411yescharacteristic
491C22×Dic61C2411yescharacteristic
492C22×Dic61C2411yescharacteristic
493C22×Dic61C2411yescharacteristic
494C22×Dic61C2411yescharacteristic
495C22×Dic61C2411yescharacteristic
496C22×Dic61C2411yescharacteristic
497C22×Dic61C2411yescharacteristic
498C22×Dic61C2411yescharacteristic
499C22×Dic61C2411yescharacteristic
500D4×D61—232no—
501D4×D61—416no—
502D4×D61—416no—
503C2×D244—22no—
504C2×D244—22no—
505C2×D244—22no—
506C2×D244—22no—
507C2×D244—22no—
508C2×D244—22no—
509C2×D244—22no—
510C2×D244—41no—
511C2×D244C2×D414yes—
512C2×C4×D61—22no—
513C2×C4×D61—22no—
514C2×C4×D61—22no—
515C2×C4×D61—22no—
516C2×C4×D61—22no—
517C2×C4×D61—22no—
518C2×C4×D61—22no—
519C2×C4×D61—22no—
520C2×C4×D61—22no—
521C2×C4×D61—22no—
522C2×C4×D61—22no—
523C2×C4×D61—22no—
524C2×C4×D61—22no—
525C2×C4×D61—22no—
526C2×C4×D61—22no—
527C2×C4×D61—22no—
528C2×C4×D61—22no—
529C2×C4×D61—22no—
530C2×C4×D61—22no—
531C2×C4×D61—22no—
532C2×C4×D61—22no—
533C2×C4×D61—22no—
534C2×C4×D61—22no—
535C2×C4×D61—22no—
536C2×C4×D61—22no—
537C2×C4×D61—22no—
538C2×C4×D61—22no—
539C2×C4×D61—22no—
540C2×C4×D61—22no—
541C2×C4×D61—22no—
542C2×C4×D61—22no—
543C2×C4×D61—22no—
544C2×C4×D61—22no—
545C2×C4×D61—22no—
546C2×C4×D61—22no—
547C2×C4×D61—22no—
548C2×C4×D61—22no—
549C2×C4×D61—22no—
550C2×C4×D61—22no—
551C2×C4×D61—22no—
552C2×C4×D61—22no—
553C2×C4×D61—22no—
554C2×C4×D61—22no—
555C2×C4×D61—22no—
556C2×C4×D61—22no—
557C2×C4×D61—22no—
558C2×C4×D61—22no—
559C2×C4×D61—416no—
560C2×C4×D61—416no—
561C2×C4×D61—416no—
562C2×C4×D61—41no—
563C2×C4×D61—41no—
564C2×C4×D61—41no—
565C2×C4×D61—41no—
566C2×C4×D61—41no—
567C2×C4×D61—41no—
568C2×C4×D61—41no—
569C2×C4×D61—41no—
570C2×C4×D61—41no—
571C2×C4×D61—41no—
572C2×C4×D61—416no—
573C2×C4×D61C2×D414yes—
574C2×C4×D61#4114yes—
575C2×C4×D61#4114yes—
576C4⋊C4×C61—22no—
577C4⋊C4×C61—22no—
578C4⋊C4×C61—22no—
579C4⋊C4×C61—41no—
580C22⋊C4×C61—22no—
581C22⋊C4×C61—22no—
582C22⋊C4×C61—22no—
583C22⋊C4×C61—22no—
584C22⋊C4×C61—22no—
585C22⋊C4×C61—22no—
586C22⋊C4×C61—41no—
587C22⋊C4×C61—41no—
588C22⋊C4×C61—41no—
589C22⋊C4×C61—41no—
590C22⋊C4×C61—41no—
591C42×C61—22no—
592C22⋊Dic61—22no—
593C22⋊Dic61—22no—
594C22⋊Dic61—22no—
595C22⋊Dic61—22no—
596C22⋊Dic61—22no—
597C22⋊Dic61—22no—
598C22⋊Dic61—41no—
599C22⋊Dic61—41no—
600C22⋊Dic61—41no—
601C22⋊Dic61—41no—
602C22⋊Dic61—41no—
603#11758198—22no—
604#11758198—22no—
605#11758198—22no—
606#11758198—22no—
607#11758198—22no—
608#11758198—22no—
609#11758198—22no—
610#11758198—22no—
611#11758198—22no—
612#11758198—22no—
613#11758198—22no—
614#11758198—22no—
615#11758198—41no—
616#11758198—41no—
617#11758198—41no—
618#11758198—41no—
619#11758198—41no—
620#11758198—41no—
621#11758198—41no—
622#11758198—41no—
623#11758198—41no—
624#11758198—41no—
625C4⋊Dic61—22no—
626C4⋊Dic61—22no—
627C4⋊Dic61—22no—
628C4⋊Dic61—41no—
629#11758196—22no—
630#11758196—22no—
631#11758196—22no—
632#11758196—22no—
633#11758196—22no—
634#11758196—22no—
635#11758196—41no—
636#11758196—41no—
637C4×Dic61—22no—
638C4×Dic61—22no—
639C4×Dic61—22no—
640C23×C61—21no—
641C23×C61—21no—
642C23×C61—21no—
643C23×C61—21no—
644C23×C61—21no—
645C23×C61—21no—
646C23×C61—21no—
647C23×C61—21no—
648C23×C61—21no—
649C23×C61—21no—
650C23×C61—21no—
651C23×C61—21no—
652C23×C61—21no—
653C23×C61—21no—
654C23×C61—21no—
655C23×C61—21no—
656C23×C61—21no—
657C23×C61C22×D412yes—
658C23×C61C22×D412yes—
659C23×C61C2×#4112yes—
660C23×C61C2×#4112yes—
661C23×C61C2511yescharacteristic
662C22×D61—21no—
663C22×D61—21no—
664C22×D61—21no—
665C22×D61—21no—
666C22×D61—28no—
667C22×D61—28no—
668C22×D61—28no—
669C22×D61—28no—
670C22×D61—28no—
671C22×D61—28no—
672C22×D61—21no—
673C22×D61—21no—
674C22×D61—21no—
675C22×D61—21no—
676C22×D61—21no—
677C22×D61—21no—
678C22×D61—28no—
679C22×D61—28no—
680C22×D61—28no—
681C22×D61—21no—
682C22×D61—21no—
683C22×D61—21no—
684C22×D61—21no—
685C22×D61—21no—
686C22×D61—21no—
687C22×D61—21no—
688C22×D61—44no—
689C22×D61—44no—
690C22×D61—44no—
691C22×D61—44no—
692C22×D61—44no—
693C22×D61—44no—
694C22×D61—44no—
695C22×D61—44no—
696C22×D61—44no—
697C22×D61—44no—
698C22×D61—44no—
699C22×D61#123116yes—
700C22×D61C22×D412yes—
701C22×D61C22×D412yes—
702C22×D61C22×D412yes—
703C22×D61C2×#4112yes—
704C22×D61C2×#4112yes—
705C22×D61C2×#4112yes—
706C22×D61C2×#4112yes—
707C22×D61C2×#4112yes—
708C22×D61C2×#4112yes—
709C22×D61H(5,𝔽2)12yes—
710C22×D61H(5,𝔽2)12yes—
711D4×C61—28no—
712D4×C61—44no—
713D4×C61—44no—
714C2×C4×C61—21no—
715C2×C4×C61—21no—
716C2×C4×C61—21no—
717C2×C4×C61—21no—
718C2×C4×C61—21no—
719C2×C4×C61—21no—
720C2×C4×C61—21no—
721C2×C4×C61—21no—
722C2×C4×C61—21no—
723C2×C4×C61—21no—
724C2×C4×C61—21no—
725C2×C4×C61—21no—
726C2×C4×C61—21no—
727C2×C4×C61—21no—
728C2×C4×C61—21no—
729C2×C4×C61—21no—
730C2×C4×C61—21no—
731C2×C4×C61—21no—
732C2×C4×C61—21no—
733C2×C4×C61—21no—
734C2×C4×C61—21no—
735C2×C4×C61—21no—
736C2×C4×C61—21no—
737C2×C4×C61—21no—
738C2×C4×C61—21no—
739C2×C4×C61—21no—
740C2×C4×C61—21no—
741C2×C4×C61—21no—
742C2×C4×C61—21no—
743C2×C4×C61—21no—
744C2×C4×C61—21no—
745C2×C4×C61—21no—
746C2×C4×C61—21no—
747C2×C4×C61—44no—
748C2×C4×C61—44no—
749C2×C4×C61—44no—
750C2×C4×C61—44no—
751C2×C4×C61C22×D412yes—
752C2×C4×C61C2×#4112yes—
753C2×C4×C61C2×#4112yes—
754C22⋊D61—28no—
755C22⋊D61—28no—
756C22⋊D61—44no—
757C22⋊D61—44no—
758C22⋊D61—44no—
759C22⋊D61—44no—
760C2×Dic61—21no—
761C2×Dic61—21no—
762C2×Dic61—21no—
763C2×Dic61—21no—
764C2×Dic61—21no—
765C2×Dic61—21no—
766C2×Dic61—21no—
767C2×Dic61—21no—
768C2×Dic61—21no—
769C2×Dic61—21no—
770C2×Dic61—21no—
771C2×Dic61—21no—
772C2×Dic61—21no—
773C2×Dic61—21no—
774C2×Dic61—21no—
775C2×Dic61—21no—
776C2×Dic61—21no—
777C2×Dic61—21no—
778C2×Dic61—21no—
779C2×Dic61—21no—
780C2×Dic61—21no—
781C2×Dic61—21no—
782C2×Dic61—21no—
783C2×Dic61—21no—
784C2×Dic61—21no—
785C2×Dic61—21no—
786C2×Dic61—21no—
787C2×Dic61—21no—
788C2×Dic61—21no—
789C2×Dic61—21no—
790C2×Dic61—21no—
791C2×Dic61—21no—
792C2×Dic61—21no—
793C2×Dic61—44no—
794C2×Dic61—44no—
795C2×Dic61—44no—
796C2×Dic61—44no—
797C2×Dic61C22×D412yes—
798C2×Dic61C2×#4112yes—
799C2×Dic61C2×#4112yes—
800D244—28no—
801D244—44no—
802D244—44no—
803C4×D61—28no—
804C4×D61—28no—
805C4×D61—28no—
806C4×D61—44no—
807C4×D61—44no—
808C4×D61—44no—
809C4×D61—44no—
810C4×D61—44no—
811C4×D61—44no—
812C4×D61—44no—
813C4×D61—44no—
814C4×D61—44no—
815C4×D61—44no—
816C4×D61—44no—
817C4×D61—44no—
818C4×D61—44no—
819C4×D61—44no—
820C4×D61—44no—
821C4×D61—44no—
822C4×D61—44no—
823C2×#2444—611nomaximal, Sylow
824C22×C61—22no—
825C22×C61—22no—
826C22×C61—22no—
827C22×C61—22no—
828C22×C61—22no—
829C22×C61—22no—
830C22×C61—22no—
831C22×C61—22no—
832C22×C61—22no—
833C22×C61—41no—
834C22×C61—41no—
835C22×C61—41no—
836C22×C61—41no—
837C22×C61—41no—
838C22×C61—41no—
839C22×C61—41no—
840C22×C61—41no—
841C22×C61—41no—
842C22×C61—41no—
843C22×C61—41no—
844C22×C61C2×#12314yes—
845C22×C61C23×D411yescharacteristic
846C22×C61C22×#4111yescharacteristic
847C22×C61C22×#4111yescharacteristic
848C22×C61C22×#4111yescharacteristic
849C22×C61C22×#4111yescharacteristic
850C22×C61C2×H(5,𝔽2)11yescharacteristic
851C22×C61C2×H(5,𝔽2)11yescharacteristic
852C2×D61—22no—
853C2×D61—22no—
854C2×D61—22no—
855C2×D61—22no—
856C2×D61—22no—
857C2×D61—22no—
858C2×D61—232no—
859C2×D61—22no—
860C2×D61—22no—
861C2×D61—22no—
862C2×D61—41no—
863C2×D61—41no—
864C2×D61—41no—
865C2×D61—41no—
866C2×D61—416no—
867C2×D61—41no—
868C2×D61—41no—
869C2×D61—41no—
870C2×D61—41no—
871C2×D61—41no—
872C2×D61—41no—
873C2×D61—41no—
874C2×D61—88no—
875C2×D61C2×#12314yes—
876C2×D61C2×#12314yes—
877C2×D61#52914yes—
878C2×D61#53814yes—
879C2×D61#54614yes—
880C2×D61#54614yes—
881C2×D61#55314yes—
882C2×D61#55314yes—
883C4×C61—22no—
884C4×C61—22no—
885C4×C61—22no—
886C4×C61—41no—
887C4×C61—41no—
888C4×C61—41no—
889C4×C61—41no—
890C4×C61—41no—
891C4×C61—41no—
892C4×C61—41no—
893C4×C61—41no—
894C4×C61—41no—
895Dic61—22no—
896Dic61—22no—
897Dic61—22no—
898Dic61—41no—
899Dic61—41no—
900Dic61—41no—
901Dic61—41no—
902Dic61—41no—
903Dic61—41no—
904Dic61—41no—
905Dic61—41no—
906Dic61—41no—
907C22×#121—611no—
908C22×C4×D4—611no—
909#2444—611no—
910#2444—611no—
911#2444—611no—
912#2444—611no—
913#2444—611no—
914#2444—611no—
915#2444—611no—
916#2444—611no—
917#2444—611no—
918#2444—611no—
919#2444—611no—
920#2444—611no—
921#2444—611no—
922#2444—611no—
923#2444—611no—
924#2444D6111yescharacteristic, direct product factor
925C2×#400—611no—
926C2×#397—611no—
927C2×#397—611no—
928C2×#394—611no—
929C2×#388—611no—
930C2×#387—611no—
931C2×#386—611no—
932C2×#386—611no—
933C2×#386—611no—
934C2×#386—611no—
935C2×#385—611no—
936C2×#381—611no—
937C22×#95—611no—
938C2×C61—24no—
939C2×C61—42no—
940C2×C61—81no—
941C2×C61C22×#12311yescharacteristic
942C2×C61C2×#52911yescharacteristic
943C2×C61C2×#53811yescharacteristic
944C2×C61C2×#54611yescharacteristic
945C2×C61C2×#54611yescharacteristic
946C2×C61C2×#55311yescharacteristic
947C2×C61C2×#55311yescharacteristic
948D61—24no—
949D61—42no—
950D61—81no—
951D61#244418yesdirect product factor
952C23×D4—611no—
953C23×D4—611no—
954C23×D4—611no—
955C24×C4—611no—
956C24×C4—611no—
957C24×C4—611no—
958C24×C4—611no—
959C2×#121—611no—
960C2×#121—611no—
961C2×#121—611no—
962C2×#121—611no—
963C2×#121—611no—
964C2×#121—611no—
965C2×#121—611no—
966C2×#121—1228no—
967C2×#121C2×D6111yescharacteristic
968C2×C4×D4—611no—
969C2×C4×D4—611no—
970C2×C4×D4—611no—
971C2×C4×D4—611no—
972C2×C4×D4—611no—
973C2×C4×D4—611no—
974C2×C4×D4—611no—
975C2×C4×D4—1228no—
976C2×C4×D4C2×D6111yescharacteristic, complemented
977C22×C4⋊C4—611no—
978C22×C4⋊C4—611no—
979C22×C4⋊C4—611no—
980C22×C4⋊C4—611no—
981C22×C22⋊C4—611no—
982C22×C22⋊C4—611no—
983C22×C22⋊C4—611no—
984C22×C22⋊C4—611no—
985C22×C22⋊C4—611no—
986C22×C22⋊C4—611no—
987C22×C22⋊C4—611no—
988C22×C22⋊C4—611no—
989C22×C22⋊C4—611no—
990C22×C22⋊C4—611no—
991C22×C22⋊C4—611no—
992C22×C42—611no—
993#400—611no—
994#400—611no—
995#400—611no—
996#400—611no—
997#400—611no—
998#400—611no—
999#400—611no—
1000#400C2×D6111yescharacteristic, complemented
1001#397—611no—
1002#397—611no—
1003#397—611no—
1004#397—611no—
1005#397—611no—
1006#397—611no—
1007#397—611no—
1008#397—611no—
1009#397—611no—
1010#397—611no—
1011#397—611no—
1012#397—611no—
1013#397—611no—
1014#397—611no—
1015#397C2×D6111yescharacteristic, complemented
1016#397C2×D6111yescharacteristic, complemented
1017#394—611no—
1018#394—611no—
1019#394—611no—
1020#394—611no—
1021#394—611no—
1022#394—611no—
1023#394—611no—
1024#394C2×D6111yescharacteristic, complemented
1025#388—611no—
1026#388—611no—
1027#388—611no—
1028#388—611no—
1029#388—611no—
1030#388—611no—
1031#388—611no—
1032#388C2×D6111yescharacteristic, complemented
1033#387—611no—
1034#387—611no—
1035#387—611no—
1036#387—611no—
1037#387—611no—
1038#387—611no—
1039#387—611no—
1040#387C2×D6111yescharacteristic, complemented
1041#386—611no—
1042#386—611no—
1043#386—611no—
1044#386—611no—
1045#386—611no—
1046#386—611no—
1047#386—611no—
1048#386—611no—
1049#386—611no—
1050#386—611no—
1051#386—611no—
1052#386—611no—
1053#386—611no—
1054#386—611no—
1055#386—611no—
1056#386—611no—
1057#386—611no—
1058#386—611no—
1059#386—611no—
1060#386—611no—
1061#386—611no—
1062#386—611no—
1063#386—611no—
1064#386—611no—
1065#386—611no—
1066#386—611no—
1067#386—611no—
1068#386—611no—
1069#386C2×D6111yescharacteristic, complemented
1070#386C2×D6111yescharacteristic, complemented
1071#386C2×D6111yescharacteristic, complemented
1072#386C2×D6111yescharacteristic, complemented
1073#385—611no—
1074#385—611no—
1075#385—611no—
1076#385—611no—
1077#385—611no—
1078#385—611no—
1079#385—611no—
1080#385C2×D6111yescharacteristic, complemented
1081#381—611no—
1082#381—611no—
1083#381—611no—
1084#381—611no—
1085#381—611no—
1086#381—611no—
1087#381—611no—
1088#381C2×D6111yescharacteristic, complemented
1089C2×#95—611no—
1090C2×#95—611no—
1091C2×#95—611no—
1092C2×#95—611no—
1093C2×#95—611no—
1094C2×#95—611no—
1095C2×#95—611no—
1096C2×#95—611no—
1097C2×#95—611no—
1098C2×#95—611no—
1099C2×#95—611no—
1100C2×#95—611no—
1101C2×#95—611no—
1102C2×#95—611no—
1103C2×#95—611no—
1104C2×#95—611no—
1105C2×#95—611no—
1106C2×#95—611no—
1107C2×#95—611no—
1108C2×#95C2×D6111yescharacteristic, complemented
1109C61C2×#244411yescharacteristic, complemented, Sylow
1110C25—611no—
1111C25—611no—
1112C25—611no—
1113C22×D4—611no—
1114C22×D4—611no—
1115C22×D4—618no—
1116C22×D4—611no—
1117C22×D4—611no—
1118C22×D4—611no—
1119C22×D4—611no—
1120C22×D4—611no—
1121C22×D4—611no—
1122C22×D4—611no—
1123C22×D4—1224no—
1124C22×D4—1224no—
1125C22×D4—1224no—
1126C22×D4—1224no—
1127C22×D4—1224no—
1128C22×D4—1224no—
1129C22×D4—1224no—
1130C22×D4—2442no—
1131C22×D4C22×D6111yescharacteristic
1132C22×D4C22×D6111yescharacteristic
1133C22×D4C22×D6111yescharacteristic
1134C23×C4—611no—
1135C23×C4—611no—
1136C23×C4—611no—
1137C23×C4—611no—
1138C23×C4—611no—
1139C23×C4—611no—
1140C23×C4—611no—
1141C23×C4—611no—
1142C23×C4—611no—
1143C23×C4—611no—
1144C23×C4—611no—
1145C23×C4—611no—
1146C23×C4—611no—
1147C23×C4—611no—
1148C23×C4—611no—
1149C23×C4—611no—
1150C23×C4—611no—
1151C23×C4—611no—
1152C23×C4—611no—
1153C23×C4—611no—
1154C23×C4—611no—
1155C23×C4—611no—
1156C23×C4—611no—
1157C23×C4—611no—
1158C23×C4—1224no—
1159C23×C4—1224no—
1160C23×C4—1224no—
1161C23×C4—1224no—
1162C23×C4—1224no—
1163C23×C4—1224no—
1164C23×C4—1224no—
1165C23×C4—2442no—
1166C23×C4—2442no—
1167C23×C4—2442no—
1168C23×C4—2442no—
1169C23×C4—2442no—
1170C23×C4C22×D6111yescharacteristic
1171C23×C4C22×D6111yescharacteristic
1172C23×C4C22×D6111yescharacteristic
1173C23×C4C22×D6111yescharacteristic
1174#121—24no—
1175#121—1224no—
1176#121—1224no—
1177#121—1224no—
1178#121—1224no—
1179#121—1224no—
1180#121—1224no—
1181#121—1224no—
1182C4×D4—24no—
1183C4×D4—1224no—
1184C4×D4—1224no—
1185C4×D4—1224no—
1186C4×D4—1224no—
1187C4×D4—1224no—
1188C4×D4—1224no—
1189C4×D4—1224no—
1190C2×C4⋊C4—611no—
1191C2×C4⋊C4—611no—
1192C2×C4⋊C4—611no—
1193C2×C4⋊C4—611no—
1194C2×C4⋊C4—611no—
1195C2×C4⋊C4—611no—
1196C2×C4⋊C4—611no—
1197C2×C4⋊C4—611no—
1198C2×C4⋊C4—611no—
1199C2×C4⋊C4—611no—
1200C2×C4⋊C4—611no—
1201C2×C4⋊C4—611no—
1202C2×C4⋊C4—1224no—
1203C2×C4⋊C4—1224no—
1204C2×C4⋊C4—1224no—
1205C2×C4⋊C4—2442no—
1206C2×C4⋊C4C22×D6111yescharacteristic
1207C2×C4⋊C4C22×D6111yescharacteristic
1208C2×C4⋊C4C22×D6111yescharacteristic
1209C2×C4⋊C4C22×D6111yescharacteristic
1210C2×C22⋊C4—611no—
1211C2×C22⋊C4—611no—
1212C2×C22⋊C4—611no—
1213C2×C22⋊C4—611no—
1214C2×C22⋊C4—611no—
1215C2×C22⋊C4—611no—
1216C2×C22⋊C4—611no—
1217C2×C22⋊C4—611no—
1218C2×C22⋊C4—611no—
1219C2×C22⋊C4—611no—
1220C2×C22⋊C4—611no—
1221C2×C22⋊C4—611no—
1222C2×C22⋊C4—611no—
1223C2×C22⋊C4—611no—
1224C2×C22⋊C4—611no—
1225C2×C22⋊C4—611no—
1226C2×C22⋊C4—611no—
1227C2×C22⋊C4—611no—
1228C2×C22⋊C4—611no—
1229C2×C22⋊C4—611no—
1230C2×C22⋊C4—611no—
1231C2×C22⋊C4—611no—
1232C2×C22⋊C4—611no—
1233C2×C22⋊C4—611no—
1234C2×C22⋊C4—611no—
1235C2×C22⋊C4—611no—
1236C2×C22⋊C4—611no—
1237C2×C22⋊C4—611no—
1238C2×C22⋊C4—611no—
1239C2×C22⋊C4—611no—
1240C2×C22⋊C4—611no—
1241C2×C22⋊C4—611no—
1242C2×C22⋊C4—611no—
1243C2×C22⋊C4—1224no—
1244C2×C22⋊C4—1224no—
1245C2×C22⋊C4—1224no—
1246C2×C22⋊C4—1224no—
1247C2×C22⋊C4—1224no—
1248C2×C22⋊C4—1224no—
1249C2×C22⋊C4—2442no—
1250C2×C22⋊C4—2442no—
1251C2×C22⋊C4—2442no—
1252C2×C22⋊C4—2442no—
1253C2×C22⋊C4—2442no—
1254C2×C22⋊C4C22×D6111yescharacteristic
1255C2×C22⋊C4C22×D6111yescharacteristic
1256C2×C22⋊C4C22×D6111yescharacteristic
1257C2×C22⋊C4C22×D6111yescharacteristic
1258C2×C22⋊C4C22×D6111yescharacteristic
1259C2×C22⋊C4C22×D6111yescharacteristic
1260C2×C22⋊C4C22×D6111yescharacteristic
1261C2×C22⋊C4C22×D6111yescharacteristic
1262C2×C22⋊C4C22×D6111yescharacteristic
1263C2×C22⋊C4C22×D6111yescharacteristic
1264C2×C22⋊C4C22×D6111yescharacteristic
1265C2×C42—611no—
1266C2×C42—611no—
1267C2×C42—611no—
1268C2×C42—1224no—
1269C2×C42C22×D6111yescharacteristic
1270#95—611no—
1271#95—611no—
1272#95—611no—
1273#95—611no—
1274#95—611no—
1275#95—611no—
1276#95—611no—
1277#95—611no—
1278#95—611no—
1279#95—611no—
1280#95—611no—
1281#95—611no—
1282#95—611no—
1283#95—611no—
1284#95—611no—
1285#95—611no—
1286#95—611no—
1287#95—611no—
1288#95—611no—
1289#95—611no—
1290#95—611no—
1291#95—611no—
1292#95—611no—
1293#95—611no—
1294#95—611no—
1295#95—611no—
1296#95—611no—
1297#95—611no—
1298#95—611no—
1299#95—611no—
1300#95—611no—
1301#95—611no—
1302#95—611no—
1303#95—611no—
1304#95—611no—
1305#95—611no—
1306#95C22×D6111yescharacteristic
1307#95C22×D6111yescharacteristic
1308#95C22×D6111yescharacteristic
1309#95C22×D6111yescharacteristic
1310#95C22×D6111yescharacteristic
1311#95C22×D6111yescharacteristic
1312#95C22×D6111yescharacteristic
1313#95C22×D6111yescharacteristic
1314#95C22×D6111yescharacteristic
1315#95C22×D6111yescharacteristic
1316#95C22×D6111yescharacteristic
1317#95C22×D6111yescharacteristic
1318C24—611no—
1319C24—614no—
1320C24—614no—
1321C24—614no—
1322C24—611no—
1323C24—614no—
1324C24—611no—
1325C24—611no—
1326C24—1222no—
1327C24—1222no—
1328C24—1222no—
1329C24—1222no—
1330C24—1222no—
1331C24—1222no—
1332C24—1222no—
1333C24—1222no—
1334C24—1222no—
1335C24—1222no—
1336C24—1222no—
1337C24—1222no—
1338C24—1222no—
1339C24—1222no—
1340C24—1222no—
1341C24—1222no—
1342C24—1222no—
1343C24C23×D6111yescharacteristic
1344C24C23×D6111yescharacteristic
1345C24C23×D6111yescharacteristic
1346C2×D4—22no—
1347C2×D4—22no—
1348C2×D4—22no—
1349C2×D4—22no—
1350C2×D4—22no—
1351C2×D4—22no—
1352C2×D4—22no—
1353C2×D4—41no—
1354C2×D4—614no—
1355C2×D4—614no—
1356C2×D4—614no—
1357C2×D4—1222no—
1358C2×D4—1222no—
1359C2×D4—1222no—
1360C2×D4—1222no—
1361C2×D4—1222no—
1362C2×D4—1222no—
1363C2×D4—1222no—
1364C2×D4—1222no—
1365C2×D4—12232no—
1366C2×D4—1222no—
1367C2×D4—1222no—
1368C2×D4—1222no—
1369C2×D4—1222no—
1370C2×D4—1222no—
1371C2×D4—1222no—
1372C2×D4—1222no—
1373C2×D4—1222no—
1374C2×D4—1222no—
1375C2×D4—1222no—
1376C2×D4—1222no—
1377C2×D4—1222no—
1378C2×D4—1222no—
1379C2×D4—2441no—
1380C2×D4—24416no—
1381C2×D4—2441no—
1382C2×D4—2441no—
1383C2×D4—24416no—
1384C2×D4D4×D6114yes—
1385C22×C4—22no—
1386C22×C4—22no—
1387C22×C4—22no—
1388C22×C4—22no—
1389C22×C4—22no—
1390C22×C4—22no—
1391C22×C4—22no—
1392C22×C4—41no—
1393C22×C4—41no—
1394C22×C4—41no—
1395C22×C4—41no—
1396C22×C4—41no—
1397C22×C4—611no—
1398C22×C4—611no—
1399C22×C4—611no—
1400C22×C4—614no—
1401C22×C4—614no—
1402C22×C4—614no—
1403C22×C4—611no—
1404C22×C4—611no—
1405C22×C4—611no—
1406C22×C4—611no—
1407C22×C4—611no—
1408C22×C4—611no—
1409C22×C4—611no—
1410C22×C4—611no—
1411C22×C4—611no—
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—1222no—
1422C22×C4—1222no—
1423C22×C4—1222no—
1424C22×C4—1222no—
1425C22×C4—1222no—
1426C22×C4—1222no—
1427C22×C4—1222no—
1428C22×C4—1222no—
1429C22×C4—1222no—
1430C22×C4—1222no—
1431C22×C4—1222no—
1432C22×C4—1222no—
1433C22×C4—1222no—
1434C22×C4—1222no—
1435C22×C4—1222no—
1436C22×C4—1222no—
1437C22×C4—1222no—
1438C22×C4—1222no—
1439C22×C4—1222no—
1440C22×C4—1222no—
1441C22×C4—1222no—
1442C22×C4—1222no—
1443C22×C4—1222no—
1444C22×C4—1222no—
1445C22×C4—1222no—
1446C22×C4—1222no—
1447C22×C4—1222no—
1448C22×C4—1222no—
1449C22×C4—1222no—
1450C22×C4—1222no—
1451C22×C4—1222no—
1452C22×C4—1222no—
1453C22×C4—1222no—
1454C22×C4—1222no—
1455C22×C4—1222no—
1456C22×C4—1222no—
1457C22×C4—1222no—
1458C22×C4—1222no—
1459C22×C4—1222no—
1460C22×C4—1222no—
1461C22×C4—1222no—
1462C22×C4—1222no—
1463C22×C4—1222no—
1464C22×C4—1222no—
1465C22×C4—1222no—
1466C22×C4—2441no—
1467C22×C4—2441no—
1468C22×C4—2441no—
1469C22×C4—2441no—
1470C22×C4—2441no—
1471C22×C4—2441no—
1472C22×C4—2441no—
1473C22×C4—2441no—
1474C22×C4—2441no—
1475C22×C4—2441no—
1476C22×C4—24416no—
1477C22×C4—24416no—
1478C22×C4—24416no—
1479C22×C4—24416no—
1480C22×C4—2441no—
1481C22×C4—2441no—
1482C22×C4—2441no—
1483C22×C4—2441no—
1484C22×C4—2441no—
1485C22×C4C23×D6111yescharacteristic
1486C22×C4C23×D6111yescharacteristic
1487C22×C4C23×D6111yescharacteristic
1488C22×C4C23×D6111yescharacteristic
1489C22×C4C23×D6111yescharacteristic
1490C22×C4C23×D6111yescharacteristic
1491C22×C4C23×D6111yescharacteristic
1492C22×C4C23×D6111yescharacteristic
1493C22×C4C23×D6111yescharacteristic
1494C22×C4C23×D6111yescharacteristic
1495C22×C4C23×D6111yescharacteristic
1496C22×C4C23×D6111yescharacteristic
1497C4⋊C4—22no—
1498C4⋊C4—22no—
1499C4⋊C4—22no—
1500C4⋊C4—41no—
1501C4⋊C4—1222no—
1502C4⋊C4—1222no—
1503C4⋊C4—1222no—
1504C4⋊C4—1222no—
1505C4⋊C4—1222no—
1506C4⋊C4—1222no—
1507C4⋊C4—1222no—
1508C4⋊C4—1222no—
1509C4⋊C4—1222no—
1510C4⋊C4—2441no—
1511C4⋊C4—2441no—
1512C4⋊C4—2441no—
1513C22⋊C4—22no—
1514C22⋊C4—22no—
1515C22⋊C4—22no—
1516C22⋊C4—22no—
1517C22⋊C4—22no—
1518C22⋊C4—22no—
1519C22⋊C4—41no—
1520C22⋊C4—41no—
1521C22⋊C4—41no—
1522C22⋊C4—41no—
1523C22⋊C4—41no—
1524C22⋊C4—1222no—
1525C22⋊C4—1222no—
1526C22⋊C4—1222no—
1527C22⋊C4—1222no—
1528C22⋊C4—1222no—
1529C22⋊C4—1222no—
1530C22⋊C4—1222no—
1531C22⋊C4—1222no—
1532C22⋊C4—1222no—
1533C22⋊C4—1222no—
1534C22⋊C4—1222no—
1535C22⋊C4—1222no—
1536C22⋊C4—1222no—
1537C22⋊C4—1222no—
1538C22⋊C4—1222no—
1539C22⋊C4—1222no—
1540C22⋊C4—1222no—
1541C22⋊C4—1222no—
1542C22⋊C4—2441no—
1543C22⋊C4—2441no—
1544C22⋊C4—2441no—
1545C22⋊C4—2441no—
1546C22⋊C4—2441no—
1547C22⋊C4—2441no—
1548C22⋊C4—2441no—
1549C22⋊C4—2441no—
1550C22⋊C4—2441no—
1551C22⋊C4—2441no—
1552C22⋊C4—2441no—
1553C22⋊C4—2441no—
1554C22⋊C4—2441no—
1555C22⋊C4—2441no—
1556C22⋊C4—2441no—
1557C42—22no—
1558C42—1222no—
1559C42—1222no—
1560C42—1222no—
1561C23—21no—
1562C23—21no—
1563C23—21no—
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—21no—
1568C23—21no—
1569C23—21no—
1570C23—21no—
1571C23—21no—
1572C23—21no—
1573C23—21no—
1574C23—21no—
1575C23—21no—
1576C23—21no—
1577C23—21no—
1578C23—612no—
1579C23—612no—
1580C23—612no—
1581C23—612no—
1582C23—612no—
1583C23—612no—
1584C23—612no—
1585C23—6116no—
1586C23—612no—
1587C23—612no—
1588C23—612no—
1589C23—612no—
1590C23—1228no—
1591C23—1228no—
1592C23—1228no—
1593C23—1228no—
1594C23—1228no—
1595C23—1228no—
1596C23—1228no—
1597C23—1228no—
1598C23—1228no—
1599C23—1221no—
1600C23—1221no—
1601C23—1221no—
1602C23—1221no—
1603C23—1221no—
1604C23—1221no—
1605C23—1221no—
1606C23—1221no—
1607C23—1221no—
1608C23—1221no—
1609C23—1221no—
1610C23—1221no—
1611C23—1221no—
1612C23—1221no—
1613C23—1221no—
1614C23—1221no—
1615C23—1221no—
1616C23—2444no—
1617C23—2444no—
1618C23—2444no—
1619C23—2444no—
1620C23—2444no—
1621C23—2444no—
1622C23—2444no—
1623C23—2444no—
1624C23—2444no—
1625C23—2444no—
1626C23—2444no—
1627C23C2×D4×D6112yes—
1628C23C2×D4×D6112yes—
1629C23#41×D6112yes—
1630C23#41×D6112yes—
1631C23C24×D6111yescharacteristic
1632D4—28no—
1633D4—44no—
1634D4—44no—
1635D4—1228no—
1636D4—1228no—
1637D4—1228no—
1638D4—2444no—
1639D4—2444no—
1640D4—2444no—
1641D4—2444no—
1642D4—2444no—
1643D4—2444no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—44no—
1678C2×C4—44no—
1679C2×C4—44no—
1680C2×C4—44no—
1681C2×C4—612no—
1682C2×C4—612no—
1683C2×C4—612no—
1684C2×C4—1228no—
1685C2×C4—1228no—
1686C2×C4—1228no—
1687C2×C4—1221no—
1688C2×C4—1221no—
1689C2×C4—1221no—
1690C2×C4—1221no—
1691C2×C4—1221no—
1692C2×C4—1221no—
1693C2×C4—1221no—
1694C2×C4—1221no—
1695C2×C4—1221no—
1696C2×C4—1221no—
1697C2×C4—1221no—
1698C2×C4—1221no—
1699C2×C4—1221no—
1700C2×C4—1221no—
1701C2×C4—1221no—
1702C2×C4—1221no—
1703C2×C4—1221no—
1704C2×C4—1221no—
1705C2×C4—1221no—
1706C2×C4—1221no—
1707C2×C4—1221no—
1708C2×C4—1221no—
1709C2×C4—1221no—
1710C2×C4—1221no—
1711C2×C4—1221no—
1712C2×C4—1221no—
1713C2×C4—1221no—
1714C2×C4—1221no—
1715C2×C4—1221no—
1716C2×C4—1221no—
1717C2×C4—1221no—
1718C2×C4—1221no—
1719C2×C4—1221no—
1720C2×C4—2444no—
1721C2×C4—2444no—
1722C2×C4—2444no—
1723C2×C4—2444no—
1724C2×C4—2444no—
1725C2×C4—2444no—
1726C2×C4—2444no—
1727C2×C4—2444no—
1728C2×C4—2444no—
1729C2×C4—2444no—
1730C2×C4—2444no—
1731C2×C4—2444no—
1732C2×C4—2444no—
1733C2×C4—2444no—
1734C2×C4—2444no—
1735C2×C4—2444no—
1736C2×C4—2444no—
1737C2×C4—2444no—
1738C2×C4—2444no—
1739C2×C4—2444no—
1740C2×C4—2444no—
1741C2×C4C2×D4×D6112yes—
1742C2×C4#41×D6112yes—
1743C2×C4#41×D6112yes—
1744C22—22no—
1745C22—22no—
1746C22—22no—
1747C22—22no—
1748C22—22no—
1749C22—22no—
1750C22—22no—
1751C22—22no—
1752C22—22no—
1753C22—41no—
1754C22—41no—
1755C22—41no—
1756C22—41no—
1757C22—41no—
1758C22—41no—
1759C22—41no—
1760C22—41no—
1761C22—41no—
1762C22—41no—
1763C22—41no—
1764C22—614no—
1765C22—614no—
1766C22—614no—
1767C22—614no—
1768C22—614no—
1769C22—614no—
1770C22—614no—
1771C22—614no—
1772C22—12232no—
1773C22—1222no—
1774C22—1222no—
1775C22—1222no—
1776C22—1222no—
1777C22—1222no—
1778C22—1222no—
1779C22—1222no—
1780C22—1222no—
1781C22—1222no—
1782C22—4888no—
1783C22—24416no—
1784C22—2441no—
1785C22—2441no—
1786C22—2441no—
1787C22—2441no—
1788C22—2441no—
1789C22—2441no—
1790C22—2441no—
1791C22—2441no—
1792C22—2441no—
1793C22—2441no—
1794C22—2441no—
1795C22#123×D6114yes—
1796C22C22×D4×D6111yescharacteristic
1797C22C2×#41×D6111yescharacteristic
1798C22C2×#41×D6111yescharacteristic
1799C22C2×#41×D6111yescharacteristic
1800C22C2×#41×D6111yescharacteristic
1801C22H(5,𝔽2)×D6111yescharacteristic
1802C22H(5,𝔽2)×D6111yescharacteristic
1803C4—22no—
1804C4—22no—
1805C4—22no—
1806C4—41no—
1807C4—41no—
1808C4—41no—
1809C4—41no—
1810C4—41no—
1811C4—41no—
1812C4—41no—
1813C4—41no—
1814C4—41no—
1815C4—1222no—
1816C4—1222no—
1817C4—1222no—
1818C4—2441no—
1819C4—2441no—
1820C4—2441no—
1821C4—2441no—
1822C4—2441no—
1823C4—2441no—
1824C4—2441no—
1825C4—2441no—
1826C4—2441no—
1827C2—24no—
1828C2—42no—
1829C2—81no—
1830C2—618no—
1831C2—1224no—
1832C2—4881no—
1833C2—2442no—
1834C2C2×#123×D6111yescharacteristic
1835C2#529×D6111yescharacteristic
1836C2#538×D6111yescharacteristic
1837C2#546×D6111yescharacteristic
1838C2#546×D6111yescharacteristic
1839C2#553×D6111yescharacteristic
1840C2#553×D6111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutator, socle, cosocleC23×C61C25
FittingC61×#2444C2
prime radicalC2×#121×D61C2
hypercenter#2444D61
hypocenterC61C2×#2444
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2444

Complements

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

NH ≅ G/Ntype
2. C2×C4×D4×D61C2semidirect
3. #21449576C2semidirect
4. #21449575C2semidirect
5. #21449574C2semidirect
6. #21449573C2semidirect
7. #21449572C2semidirect
8. #21449571C2semidirect
9. #21449570C2semidirect
10. #21449569C2semidirect
11. #21449568C2semidirect
12. #21449567C2semidirect
13. #21449566C2semidirect
14. #21449565C2semidirect
15. #21449564C2semidirect
16. #21449563C2semidirect
17. #21449562C2semidirect
18. #400×D61C2semidirect
19. #397×D61C2semidirect
20. #397×D61C2semidirect
21. #394×D61C2semidirect
22. #388×D61C2semidirect
23. #387×D61C2semidirect
24. #386×D61C2semidirect
25. #386×D61C2semidirect
26. #386×D61C2semidirect
27. #386×D61C2semidirect
28. #385×D61C2semidirect
29. #381×D61C2semidirect
30. C2×#95×D61C2semidirect
31. C61×#2444C2semidirect
47. C2×C4×D244C22semidirect
48. C2×D4×Dic61C22semidirect
49. C2×#14519739C22semidirect
50. C2×C4×C22⋊D61C22semidirect
51. C2×C4×C22⋊D61C22semidirect
52. C2×#14519737C22semidirect
53. C2×#14519737C22semidirect
71. #16839704C22semidirect
72. #16839704C22semidirect
73. #16839703C22semidirect
74. #16839703C22semidirect
75. #16839702C22semidirect
76. #16839701C22semidirect
77. #16839700C22semidirect
78. #16839691C22semidirect
79. #16839691C22semidirect
80. #16839691C22semidirect
81. #16839691C22semidirect
82. #16839690C22semidirect
83. #16839690C22semidirect
84. #16839690C22semidirect
85. #16839690C22semidirect
86. #16839689C22semidirect
87. #16839689C22semidirect
88. #16839688C22semidirect
89. #16839688C22semidirect
90. #16839687C22semidirect
91. #16839687C22semidirect
92. #16839680C22semidirect
93. #16839679C22semidirect
94. #16839678C22semidirect
95. #16839678C22semidirect
96. #16839677C22semidirect
97. #16839677C22semidirect
98. #16839676C22semidirect
99. #16839656C22semidirect
100. #16839655C22semidirect
101. #16839654C22semidirect
102. #16839653C22semidirect
103. #16839652C22semidirect
104. #16839651C22semidirect
105. #16839650C22semidirect
106. #16839649C22semidirect
107. #16839648C22semidirect
108. #16839647C22semidirect
109. #16839646C22semidirect
110. #16839645C22semidirect
111. #16839644C22semidirect
112. #16839643C22semidirect
113. #16839642C22semidirect
114. #16839642C22semidirect
115. #16839642C22semidirect
116. #16839642C22semidirect
117. #16839641C22semidirect
118. #16839641C22semidirect
119. #16839641C22semidirect
120. #16839641C22semidirect
121. #16839640C22semidirect
122. #16839640C22semidirect
123. #16839640C22semidirect
124. #16839640C22semidirect
125. #16839640C22semidirect
126. #16839640C22semidirect
127. #16839640C22semidirect
128. #16839640C22semidirect
129. #16839639C22semidirect
130. #16839639C22semidirect
131. #16839639C22semidirect
132. #16839639C22semidirect
133. #16839638C22semidirect
134. #16839638C22semidirect
135. #16839638C22semidirect
136. #16839638C22semidirect
137. #16839638C22semidirect
138. #16839638C22semidirect
139. #16839638C22semidirect
140. #16839638C22semidirect
141. #16839637C22semidirect
142. #16839636C22semidirect
143. #16839636C22semidirect
144. #16839635C22semidirect
145. #16839634C22semidirect
146. #16839633C22semidirect
147. #16839633C22semidirect
148. #16839625C22semidirect
149. #16839624C22semidirect
150. #16839624C22semidirect
151. #16839624C22semidirect
152. #16839624C22semidirect
153. #16839623C22semidirect
154. #16839623C22semidirect
155. C2×#14519684C22semidirect
156. C2×#14519684C22semidirect
157. C2×#14519684C22semidirect
170. #95×D61C22semidirect
171. #95×D61C22semidirect
172. #95×D61C22semidirect
173. #95×D61C22semidirect
175. C2×C4×D4×C61C22semidirect
176. C61×#400C22semidirect
177. C61×#397C22semidirect
178. C61×#397C22semidirect
179. C61×#394C22semidirect
180. C61×#388C22semidirect
181. C61×#387C22semidirect
182. C61×#386C22semidirect
183. C61×#386C22semidirect
184. C61×#386C22semidirect
185. C61×#386C22semidirect
186. C61×#385C22semidirect
187. C61×#381C22semidirect
188. C2×#95×C61C22semidirect
924. #2444D61direct (N × H)
951. D61#2444direct (N × H)
976. C2×C4×D4C2×D61semidirect
1000. #400C2×D61semidirect
1015. #397C2×D61semidirect
1016. #397C2×D61semidirect
1024. #394C2×D61semidirect
1032. #388C2×D61semidirect
1040. #387C2×D61semidirect
1069. #386C2×D61semidirect
1070. #386C2×D61semidirect
1071. #386C2×D61semidirect
1072. #386C2×D61semidirect
1080. #385C2×D61semidirect
1088. #381C2×D61semidirect
1108. C2×#95C2×D61semidirect
1109. C61C2×#2444semidirect

Maximal subgroups

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

subgroupindex
C2×#121×D612
C2×C4×D4×D612
#214495762
#214495752
#214495742
#214495732
#214495722
#214495712
#214495702
#214495692
#214495682
#214495672
#214495662
#214495652
#214495642
#214495632
#214495622
#400×D612
#397×D612
#394×D612
#388×D612
#387×D612
#386×D612
#385×D612
#381×D612
C2×#95×D612
C61×#24442
C2×#244461