Finite Group Databasebeta

← #29847549

Subgroups — #29847549

Order 15616.

3910 conjugacy classes of subgroups.

The subgroup lattice has 1960 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840272C211yesmaximal, characteristic, complemented
2C2×#16840268C211yesmaximal, characteristic, complemented
3C22×D4×Dic61C211yesmaximal, characteristic, complemented
4C22×#14519737C211yesmaximal, characteristic, complemented
5#21449811C211yesmaximal, characteristic, complemented
6#21449712C211yesmaximal, characteristic, complemented
7#21449706C211yesmaximal, characteristic, complemented
8#21449697C211yesmaximal, characteristic, complemented
9#21449632C211yesmaximal, characteristic, complemented
10#21449626C211yesmaximal, characteristic, complemented
11#21449560C211yesmaximal, characteristic, complemented
12#21449550C211yesmaximal, characteristic, complemented
13#21449480C211yesmaximal, characteristic, complemented
14#21449361C211yesmaximal, characteristic, complemented
15#21449351C211yesmaximal, characteristic, complemented
16#21449285C211yesmaximal, characteristic, complemented
17#21449279C211yesmaximal, characteristic, complemented
18#21449194C211yesmaximal, characteristic, complemented
19#21449129C211yesmaximal, characteristic, complemented
20#21449097C211yesmaximal, characteristic, complemented
21#21449062C211yesmaximal, characteristic, complemented
22#21449058C211yesmaximal, characteristic, complemented
23#21449031C211yesmaximal, characteristic, complemented
24#121×Dic61C211yesmaximal, characteristic, complemented
25#21448329C211yesmaximal, characteristic, complemented
26#21448324C211yesmaximal, characteristic, complemented
27#120×Dic61C211yesmaximal, characteristic, complemented
28#21448318C211yesmaximal, characteristic, complemented
29#21448259C211yesmaximal, characteristic, complemented
30#21448255C211yesmaximal, characteristic, complemented
31C61×#2410C211yesmaximal, characteristic, complemented
32C22×#11758224C2211yescharacteristic, complemented
33C23×C22⋊D61C2211yescharacteristic
34C24×Dic61C2211yescharacteristic
35C24×Dic61C2211yescharacteristic, complemented
36C23×C4×D61C2211yescharacteristic, complemented
37#16840272—28no—
38#16840268—28no—
39C2×#14519761C2211yescharacteristic, complemented
40C2×#14519759C2211yescharacteristic, complemented
41C2×#14519759C2211yescharacteristic, complemented
42C2×#14519758C2211yescharacteristic, complemented
43C2×#14519757C2211yescharacteristic, complemented
44C2×#14519756C2211yescharacteristic, complemented
45C2×#14519754C2211yescharacteristic, complemented
46C2×#14519754C2211yescharacteristic, complemented
47C2×#14519749C2211yescharacteristic
48C2×#14519749C2211yescharacteristic
49C2×#14519749C2211yescharacteristic, complemented
50C2×#14519748C2211yescharacteristic, complemented
51C2×#14519746C2211yescharacteristic
52C2×#14519746C2211yescharacteristic
53C2×#14519745C2211yescharacteristic
54C2×#14519745C2211yescharacteristic
55C2×#14519745C2211yescharacteristic, complemented
56C2×D4×Dic61—28no—
57C2×D4×Dic61C2211yescharacteristic
58C2×D4×Dic61C2211yescharacteristic
59C2×D4×Dic61C2211yescharacteristic
60C2×D4×Dic61C2211yescharacteristic
61C2×D4×Dic61C2211yescharacteristic, complemented
62C2×D4×Dic61C2211yescharacteristic, complemented
63C2×D4×Dic61C2211yescharacteristic, complemented
64C2×D4×Dic61C2211yescharacteristic, complemented
65C2×D4×Dic61C2211yescharacteristic, complemented
66C2×D4×Dic61C2211yescharacteristic, complemented
67C2×D4×Dic61C2211yescharacteristic, complemented
68C2×D4×Dic61C2211yescharacteristic, complemented
69C2×#14519737—28no—
70C2×#14519737C2211yescharacteristic
71C2×#14519737C2211yescharacteristic
72C2×#14519737C2211yescharacteristic
73C2×#14519737C2211yescharacteristic
74C2×#14519737C2211yescharacteristic, complemented
75C2×#14519737C2211yescharacteristic, complemented
76C2×#14519737C2211yescharacteristic, complemented
77C2×#14519737C2211yescharacteristic, complemented
78C2×#14519737C2211yescharacteristic, complemented
79C2×#14519737C2211yescharacteristic, complemented
80C2×#14519737C2211yescharacteristic, complemented
81C2×#14519737C2211yescharacteristic, complemented
82C2×#14519735C2211yescharacteristic, complemented
83C2×#14519733C2211yescharacteristic, complemented
84C22×C4⋊Dic61C2211yescharacteristic, complemented
85C22×#11758196C2211yescharacteristic, complemented
86C22×C22⋊Dic61C2211yescharacteristic
87C22×C22⋊Dic61C2211yescharacteristic, complemented
88C22×#11758198C2211yescharacteristic, complemented
89C22×C4×Dic61C2211yescharacteristic, complemented
90C22×C4×Dic61C2211yescharacteristic, complemented
91#16839699C2211yescharacteristic, complemented
92#16839698C2211yescharacteristic, complemented
93#16839698C2211yescharacteristic, complemented
94#16839698C2211yescharacteristic, complemented
95#16839696C2211yescharacteristic, complemented
96#16839692C2211yescharacteristic, complemented
97#16839690C2211yescharacteristic, complemented
98#16839689C2211yescharacteristic, complemented
99#16839685C2211yescharacteristic, complemented
100#16839685C2211yescharacteristic, complemented
101#16839685C2211yescharacteristic, complemented
102#16839684C2211yescharacteristic, complemented
103#16839683C2211yescharacteristic, complemented
104#16839678C2211yescharacteristic, complemented
105#16839678C2211yescharacteristic, complemented
106#16839678C2211yescharacteristic, complemented
107#16839677C2211yescharacteristic, complemented
108#16839677C2211yescharacteristic, complemented
109#16839677C2211yescharacteristic, complemented
110#16839676C2211yescharacteristic, complemented
111#16839674C2211yescharacteristic, complemented
112#16839670C2211yescharacteristic
113#16839670C2211yescharacteristic
114#16839670C2211yescharacteristic
115#16839670C2211yescharacteristic
116#16839670C2211yescharacteristic, complemented
117#16839670C2211yescharacteristic, complemented
118#16839670C2211yescharacteristic, complemented
119#16839665C2211yescharacteristic, complemented
120#16839662C2211yescharacteristic, complemented
121#16839661C2211yescharacteristic, complemented
122#16839659C2211yescharacteristic, complemented
123#16839656C2211yescharacteristic, complemented
124#16839655C2211yescharacteristic, complemented
125#16839655C2211yescharacteristic, complemented
126#16839654C2211yescharacteristic, complemented
127#16839654C2211yescharacteristic, complemented
128#16839652C2211yescharacteristic, complemented
129#16839650C2211yescharacteristic, complemented
130#16839650C2211yescharacteristic, complemented
131#16839649C2211yescharacteristic, complemented
132#16839647C2211yescharacteristic, complemented
133#16839645C2211yescharacteristic, complemented
134#16839643C2211yescharacteristic, complemented
135#16839642C2211yescharacteristic
136#16839642C2211yescharacteristic
137#16839642C2211yescharacteristic, complemented
138#16839642C2211yescharacteristic, complemented
139#16839642C2211yescharacteristic, complemented
140#16839642C2211yescharacteristic, complemented
141#16839641C2211yescharacteristic
142#16839641C2211yescharacteristic
143#16839639C2211yescharacteristic
144#16839639C2211yescharacteristic
145#16839639C2211yescharacteristic, complemented
146#16839639C2211yescharacteristic, complemented
147#16839638C2211yescharacteristic, complemented
148#16839638C2211yescharacteristic, complemented
149#16839637C2211yescharacteristic, complemented
150#16839637C2211yescharacteristic, complemented
151#16839637C2211yescharacteristic, complemented
152#16839637C2211yescharacteristic, complemented
153#16839636C2211yescharacteristic, complemented
154#16839636C2211yescharacteristic, complemented
155#16839635C2211yescharacteristic, complemented
156#16839635C2211yescharacteristic, complemented
157#16839634C2211yescharacteristic, complemented
158#16839634C2211yescharacteristic, complemented
159#16839634C2211yescharacteristic, complemented
160#16839634C2211yescharacteristic, complemented
161#16839622C2211yescharacteristic, complemented
162#16839620C2211yescharacteristic, complemented
163#16839618C2211yescharacteristic
164#16839617C2211yescharacteristic, complemented
165C4⋊C4×Dic61C2211yescharacteristic, complemented
166#16839613C2211yescharacteristic, complemented
167C22⋊C4×Dic61C2211yescharacteristic, complemented
168C22⋊C4×Dic61C2211yescharacteristic, complemented
169C22⋊C4×Dic61C2211yescharacteristic, complemented
170C22⋊C4×Dic61C2211yescharacteristic, complemented
171C22⋊C4×Dic61C2211yescharacteristic, complemented
172C22⋊C4×Dic61C2211yescharacteristic, complemented
173#16839609C2211yescharacteristic, complemented
174#16839609C2211yescharacteristic, complemented
175#16839607C2211yescharacteristic, complemented
176C23×D4×C61C2211yescharacteristic
177C2×#121×C61C2211yescharacteristic
178C2×#121×C61C2211yescharacteristic
179C2×#120×C61C2211yescharacteristic
180C2×#120×C61C2211yescharacteristic, complemented
181C22×C22⋊C4×C61C2211yescharacteristic
182C61×#394C2211yescharacteristic, complemented
183C61×#394C2211yescharacteristic, complemented
184C61×#392C2211yescharacteristic, complemented
185C61×#392C2211yescharacteristic, complemented
186C61×#386C2211yescharacteristic
187C61×#386C2211yescharacteristic
188C61×#386C2211yescharacteristic, complemented
189C61×#385C2211yescharacteristic, complemented
190C61×#379C2211yescharacteristic, complemented
191C24×D61C2311yescharacteristic
192C2×#11758224—24no—
193C2×#11758224—24no—
194C2×#11758224—42no—
195C22×Dic122C2311yescharacteristic
196C22×C22⋊D61—24no—
197C22×C22⋊D61—24no—
198C22×C22⋊D61—24no—
199C22×C22⋊D61C2311yescharacteristic
200C22×C22⋊D61C2311yescharacteristic
201C22×C22⋊D61C2311yescharacteristic
202C22×C22⋊D61C2311yescharacteristic
203C22×C22⋊D61C2311yescharacteristic
204C22×C22⋊D61C2311yescharacteristic
205C22×C22⋊D61C2311yescharacteristic
206C22×C22⋊D61C2311yescharacteristic
207C22×C22⋊D61C2311yescharacteristic
208C22×C22⋊D61C2311yescharacteristic
209C23×Dic61—24no—
210C23×Dic61—24no—
211C23×Dic61—24no—
212C23×Dic61—24no—
213C23×Dic61—42no—
214C23×Dic61—42no—
215C23×Dic61C2311yescharacteristic
216C23×Dic61C2311yescharacteristic
217C23×Dic61C2311yescharacteristic
218C23×Dic61C2311yescharacteristic
219C23×Dic61C2311yescharacteristic
220C23×Dic61C2311yescharacteristic
221C23×Dic61C2311yescharacteristic
222C23×Dic61C2311yescharacteristic
223C23×Dic61C2311yescharacteristic
224C23×Dic61C2311yescharacteristic
225C23×Dic61C2311yescharacteristic
226C23×Dic61C2311yescharacteristic
227C23×Dic61C2311yescharacteristic
228C23×Dic61C2311yescharacteristic
229C22×C4×D61—24no—
230C22×C4×D61—24no—
231C22×C4×D61—42no—
232C22×C4×D61C2311yescharacteristic
233C22×C4×D61C2311yescharacteristic
234C22×C4×D61C2311yescharacteristic
235C22×C4×D61C2311yescharacteristic
236#14519761—24no—
237#14519759—24no—
238#14519759—24no—
239#14519758—24no—
240#14519757—24no—
241#14519756—24no—
242#14519754—24no—
243#14519754—24no—
244#14519749—24no—
245#14519749—24no—
246#14519749—24no—
247#14519748—24no—
248#14519746—24no—
249#14519746—24no—
250#14519745—24no—
251#14519745—24no—
252#14519745—24no—
253D4×Dic61—24no—
254D4×Dic61—24no—
255D4×Dic61—24no—
256D4×Dic61—24no—
257D4×Dic61—24no—
258D4×Dic61—24no—
259D4×Dic61—24no—
260D4×Dic61—24no—
261D4×Dic61—24no—
262D4×Dic61—24no—
263D4×Dic61—42no—
264D4×Dic61D418yescomplemented
265#14519737—24no—
266#14519737—24no—
267#14519737—24no—
268#14519737—24no—
269#14519737—24no—
270#14519737—24no—
271#14519737—24no—
272#14519737—24no—
273#14519737—24no—
274#14519737—24no—
275#14519737—42no—
276#14519737D418yescomplemented
277#14519735—24no—
278#14519733—24no—
279C2×C4⋊Dic61—24no—
280C2×C4⋊Dic61C2311yescharacteristic
281C2×C4⋊Dic61C2311yescharacteristic
282C2×C4⋊Dic61C2311yescharacteristic
283C2×C4⋊Dic61C2311yescharacteristic
284C2×C4⋊Dic61C2311yescharacteristic
285C2×C4⋊Dic61C2311yescharacteristic
286C2×C4⋊Dic61C2311yescharacteristic
287C2×C4⋊Dic61C2311yescharacteristic
288C2×C4⋊Dic61C2311yescharacteristic
289C2×C4⋊Dic61C2311yescharacteristic
290C2×#11758196—24no—
291C2×#11758196C2311yescharacteristic
292C2×#11758196C2311yescharacteristic
293C2×#11758196C2311yescharacteristic
294C2×#11758196C2311yescharacteristic
295C2×#11758196C2311yescharacteristic
296C2×#11758196C2311yescharacteristic
297C2×#11758196C2311yescharacteristic
298C2×#11758196C2311yescharacteristic
299C2×#11758196C2311yescharacteristic
300C2×#11758196C2311yescharacteristic
301C2×#11758196C2311yescharacteristic
302C2×#11758196C2311yescharacteristic
303C2×C22⋊Dic61—24no—
304C2×C22⋊Dic61—24no—
305C2×C22⋊Dic61C2311yescharacteristic
306C2×C22⋊Dic61C2311yescharacteristic
307C2×C22⋊Dic61C2311yescharacteristic
308C2×C22⋊Dic61C2311yescharacteristic
309C2×C22⋊Dic61C2311yescharacteristic
310C2×C22⋊Dic61C2311yescharacteristic
311C2×C22⋊Dic61C2311yescharacteristic
312C2×C22⋊Dic61C2311yescharacteristic
313C2×C22⋊Dic61C2311yescharacteristic
314C2×C22⋊Dic61C2311yescharacteristic
315C2×C22⋊Dic61C2311yescharacteristic
316C2×C22⋊Dic61C2311yescharacteristic
317C2×C22⋊Dic61C2311yescharacteristic
318C2×C22⋊Dic61C2311yescharacteristic
319C2×C22⋊Dic61C2311yescharacteristic
320C2×C22⋊Dic61C2311yescharacteristic
321C2×C22⋊Dic61C2311yescharacteristic
322C2×C22⋊Dic61C2311yescharacteristic
323C2×C22⋊Dic61C2311yescharacteristic
324C2×C22⋊Dic61C2311yescharacteristic
325C2×C22⋊Dic61C2311yescharacteristic
326C2×C22⋊Dic61C2311yescharacteristic
327C2×C22⋊Dic61C2311yescharacteristic
328C2×#11758198—24no—
329C2×#11758198C2311yescharacteristic
330C2×#11758198C2311yescharacteristic
331C2×#11758198C2311yescharacteristic
332C2×#11758198C2311yescharacteristic
333C2×#11758198C2311yescharacteristic
334C2×#11758198C2311yescharacteristic
335C2×#11758198C2311yescharacteristic
336C2×#11758198C2311yescharacteristic
337C2×#11758198C2311yescharacteristic
338C2×#11758198C2311yescharacteristic
339C2×#11758198C2311yescharacteristic
340C2×#11758198C2311yescharacteristic
341C2×#11758198C2311yescharacteristic
342C2×#11758198C2311yescharacteristic
343C2×C4×Dic61—24no—
344C2×C4×Dic61—24no—
345C2×C4×Dic61C2311yescharacteristic
346C2×C4×Dic61C2311yescharacteristic
347C2×C4×Dic61C2311yescharacteristic
348C2×C4×Dic61C2311yescharacteristic
349C2×C4×Dic61C2311yescharacteristic
350C2×C4×Dic61C2311yescharacteristic
351C2×C4×Dic61C2311yescharacteristic
352C2×C4×Dic61C2311yescharacteristic
353C2×C4×Dic61C2311yescharacteristic
354C2×C4×Dic61C2311yescharacteristic
355C2×C4×Dic61C2311yescharacteristic
356#14519684C2311yescharacteristic
357#14519684C2311yescharacteristic
358#14519684C2311yescharacteristic
359#14519684C2311yescharacteristic
360#14519684C2311yescharacteristic
361#14519684C2311yescharacteristic
362#14519684C2311yescharacteristic
363#14519684C2311yescharacteristic
364#14519684C2311yescharacteristic
365#14519684C2311yescharacteristic
366#14519684C2311yescharacteristic
367#14519684C2311yescharacteristic
368#14519684C2311yescharacteristic
369#14519684C2311yescharacteristic
370#14519684C2311yescharacteristic
371#14519684C2311yescharacteristic
372#14519684C2311yescharacteristic
373#14519684C2311yescharacteristic
374#14519684C2311yescharacteristic
375#14519684C2311yescharacteristic
376C25×C61C2311yescharacteristic
377C25×C61C2311yescharacteristic
378C22×D4×C61—24no—
379C22×D4×C61—24no—
380C22×D4×C61—24no—
381C22×D4×C61C2311yescharacteristic
382C22×D4×C61C2311yescharacteristic
383C22×D4×C61C2311yescharacteristic
384C22×D4×C61C2311yescharacteristic
385C22×D4×C61C2311yescharacteristic
386C22×D4×C61C2311yescharacteristic
387C22×D4×C61C2311yescharacteristic
388C22×D4×C61C2311yescharacteristic
389C22×D4×C61C2311yescharacteristic
390C23×C4×C61C2311yescharacteristic
391C23×C4×C61C2311yescharacteristic
392C23×C4×C61C2311yescharacteristic
393#121×C61—24no—
394#121×C61—24no—
395#120×C61—24no—
396#120×C61—24no—
397C2×C4⋊C4×C61C2311yescharacteristic
398C2×C4⋊C4×C61C2311yescharacteristic
399C2×C22⋊C4×C61—24no—
400C2×C22⋊C4×C61C2311yescharacteristic
401C2×C22⋊C4×C61C2311yescharacteristic
402C2×C22⋊C4×C61C2311yescharacteristic
403C2×C22⋊C4×C61C2311yescharacteristic
404C2×C22⋊C4×C61C2311yescharacteristic
405C2×C22⋊C4×C61C2311yescharacteristic
406C2×C22⋊C4×C61C2311yescharacteristic
407C2×C22⋊C4×C61C2311yescharacteristic
408C2×C22⋊C4×C61C2311yescharacteristic
409C2×C22⋊C4×C61C2311yescharacteristic
410C2×C22⋊C4×C61C2311yescharacteristic
411C2×C22⋊C4×C61C2311yescharacteristic
412C2×C22⋊C4×C61C2311yescharacteristic
413C2×C22⋊C4×C61C2311yescharacteristic
414C2×C22⋊C4×C61C2311yescharacteristic
415#95×C61C2311yescharacteristic
416#95×C61C2311yescharacteristic
417#95×C61C2311yescharacteristic
418#95×C61C2311yescharacteristic
419C24×C61—22no—
420C24×C61—22no—
421C24×C61—22no—
422C24×C61—22no—
423C24×C61—22no—
424C24×C61—22no—
425C24×C61—22no—
426C24×C61—22no—
427C24×C61—22no—
428C24×C61—41no—
429C24×C61—41no—
430C24×C61—41no—
431C24×C61—41no—
432C24×C61#4114yescomplemented
433C24×C61C2411yescharacteristic
434C24×C61C2411yescharacteristic
435C24×C61C2411yescharacteristic
436C24×C61C2411yescharacteristic
437C24×C61C2411yescharacteristic
438C24×C61C2411yescharacteristic
439C23×D61—22no—
440C23×D61—22no—
441C23×D61—22no—
442C23×D61—22no—
443C23×D61—22no—
444C23×D61—41no—
445C23×D61—41no—
446C23×D61C2411yescharacteristic
447C23×D61C2411yescharacteristic
448C2×D4×C61—232no—
449C2×D4×C61—22no—
450C2×D4×C61—22no—
451C2×D4×C61—22no—
452C2×D4×C61—22no—
453C2×D4×C61—22no—
454C2×D4×C61—22no—
455C2×D4×C61—22no—
456C2×D4×C61—22no—
457C2×D4×C61—22no—
458C2×D4×C61—22no—
459C2×D4×C61—22no—
460C2×D4×C61—22no—
461C2×D4×C61—22no—
462C2×D4×C61—22no—
463C2×D4×C61—22no—
464C2×D4×C61—22no—
465C2×D4×C61—22no—
466C2×D4×C61—22no—
467C2×D4×C61—22no—
468C2×D4×C61—22no—
469C2×D4×C61—22no—
470C2×D4×C61—41no—
471C2×D4×C61—41no—
472C2×D4×C61—41no—
473C2×D4×C61—41no—
474C2×D4×C61C2×D414yes—
475C2×D4×C61#4114yescomplemented
476C22×C4×C61—22no—
477C22×C4×C61—22no—
478C22×C4×C61—22no—
479C22×C4×C61—22no—
480C22×C4×C61—22no—
481C22×C4×C61—22no—
482C22×C4×C61—22no—
483C22×C4×C61—41no—
484C22×C4×C61—41no—
485C22×C4×C61C2411yescharacteristic
486C22×C4×C61C2411yescharacteristic
487C22×C4×C61C2411yescharacteristic
488C22×C4×C61C2411yescharacteristic
489C22×C4×C61C2411yescharacteristic
490C22×C4×C61C2411yescharacteristic
491C22×C4×C61C2411yescharacteristic
492C22×C4×C61C2411yescharacteristic
493C22×C4×C61C2411yescharacteristic
494C2×C22⋊D61—232no—
495C2×C22⋊D61—22no—
496C2×C22⋊D61—22no—
497C2×C22⋊D61—22no—
498C2×C22⋊D61—22no—
499C2×C22⋊D61—22no—
500C2×C22⋊D61—22no—
501C2×C22⋊D61—22no—
502C2×C22⋊D61—22no—
503C2×C22⋊D61—22no—
504C2×C22⋊D61—22no—
505C2×C22⋊D61—22no—
506C2×C22⋊D61—22no—
507C2×C22⋊D61—22no—
508C2×C22⋊D61—22no—
509C2×C22⋊D61—22no—
510C2×C22⋊D61—22no—
511C2×C22⋊D61—22no—
512C2×C22⋊D61—22no—
513C2×C22⋊D61—22no—
514C2×C22⋊D61—22no—
515C2×C22⋊D61—22no—
516C2×C22⋊D61—22no—
517C2×C22⋊D61—41no—
518C2×C22⋊D61—41no—
519C2×C22⋊D61—41no—
520C2×C22⋊D61—41no—
521C2×C22⋊D61—41no—
522C2×C22⋊D61—41no—
523C2×C22⋊D61C2×D414yes—
524C2×C22⋊D61#4114yescomplemented
525C22×Dic61—22no—
526C22×Dic61—22no—
527C22×Dic61—22no—
528C22×Dic61—22no—
529C22×Dic61—22no—
530C22×Dic61—22no—
531C22×Dic61—22no—
532C22×Dic61—22no—
533C22×Dic61—22no—
534C22×Dic61—22no—
535C22×Dic61—22no—
536C22×Dic61—22no—
537C22×Dic61—22no—
538C22×Dic61—22no—
539C22×Dic61—22no—
540C22×Dic61—22no—
541C22×Dic61—22no—
542C22×Dic61—22no—
543C22×Dic61—22no—
544C22×Dic61—22no—
545C22×Dic61—22no—
546C22×Dic61—22no—
547C22×Dic61—22no—
548C22×Dic61—22no—
549C22×Dic61—22no—
550C22×Dic61—22no—
551C22×Dic61—22no—
552C22×Dic61—22no—
553C22×Dic61—22no—
554C22×Dic61—22no—
555C22×Dic61—22no—
556C22×Dic61—22no—
557C22×Dic61—41no—
558C22×Dic61—41no—
559C22×Dic61—41no—
560C22×Dic61—41no—
561C22×Dic61—41no—
562C22×Dic61—41no—
563C22×Dic61—41no—
564C22×Dic61—416no—
565C22×Dic61—416no—
566C22×Dic61C2×D414yes—
567C22×Dic61C2×D414yes—
568C22×Dic61C2×D414yescomplemented
569C22×Dic61C2411yescharacteristic
570C22×Dic61C2411yescharacteristic
571C22×Dic61C2411yescharacteristic
572C22×Dic61C2411yescharacteristic
573C22×Dic61C2411yescharacteristic
574C22×Dic61C2411yescharacteristic
575C22×Dic61C2411yescharacteristic
576C22×Dic61C2411yescharacteristic
577C22×Dic61C2411yescharacteristic
578C22×Dic61C2411yescharacteristic
579C22×Dic61C2411yescharacteristic
580C22×Dic61C2411yescharacteristic
581C22×Dic61C2411yescharacteristic
582C22×Dic61C2411yescharacteristic
583#11758224—416no—
584C2×C4×D61—22no—
585C2×C4×D61—22no—
586C2×C4×D61—22no—
587C2×C4×D61—22no—
588C2×C4×D61—22no—
589C2×C4×D61—22no—
590C2×C4×D61—22no—
591C2×C4×D61—22no—
592C2×C4×D61—22no—
593C2×C4×D61—416no—
594C2×C4×D61—41no—
595C2×C4×D61—41no—
596C2×C4×D61C2×D414yescomplemented
597C2×Dic122—22no—
598C2×Dic122—22no—
599C2×Dic122—41no—
600C4⋊C4×C61—22no—
601C4⋊C4×C61—22no—
602C22⋊C4×C61—22no—
603C22⋊C4×C61—22no—
604C22⋊C4×C61—22no—
605C22⋊C4×C61—22no—
606C22⋊C4×C61—22no—
607C22⋊C4×C61—22no—
608C22⋊C4×C61—22no—
609C22⋊C4×C61—22no—
610C22⋊C4×C61—22no—
611C22⋊C4×C61—22no—
612C22⋊C4×C61—22no—
613C22⋊C4×C61—22no—
614C22⋊C4×C61—41no—
615C22⋊C4×C61—41no—
616C22⋊C4×C61C2×D414yes—
617C22⋊Dic61—22no—
618C22⋊Dic61—22no—
619C22⋊Dic61—22no—
620C22⋊Dic61—22no—
621C22⋊Dic61—22no—
622C22⋊Dic61—22no—
623C22⋊Dic61—22no—
624C22⋊Dic61—22no—
625C22⋊Dic61—22no—
626C22⋊Dic61—22no—
627C22⋊Dic61—22no—
628C22⋊Dic61—22no—
629C22⋊Dic61—22no—
630C22⋊Dic61—22no—
631C22⋊Dic61—22no—
632C22⋊Dic61—22no—
633C22⋊Dic61—22no—
634C22⋊Dic61—22no—
635C22⋊Dic61—41no—
636C22⋊Dic61—41no—
637C22⋊Dic61—41no—
638C22⋊Dic61C2×D414yes—
639C22⋊Dic61C2×D414yescomplemented
640#11758198—22no—
641#11758198—22no—
642#11758198—22no—
643#11758198—22no—
644#11758198—22no—
645#11758198—22no—
646#11758198—22no—
647#11758198—22no—
648#11758198—22no—
649#11758198—22no—
650#11758198—22no—
651#11758198—41no—
652#11758198—41no—
653#11758198C2×D414yescomplemented
654C4⋊Dic61—22no—
655C4⋊Dic61—22no—
656C4⋊Dic61—22no—
657C4⋊Dic61—22no—
658C4⋊Dic61—22no—
659C4⋊Dic61—22no—
660C4⋊Dic61—22no—
661C4⋊Dic61—41no—
662C4⋊Dic61—41no—
663C4⋊Dic61C2×D414yescomplemented
664#11758196—22no—
665#11758196—22no—
666#11758196—22no—
667#11758196—22no—
668#11758196—22no—
669#11758196—22no—
670#11758196—22no—
671#11758196—22no—
672#11758196—22no—
673#11758196—41no—
674#11758196—41no—
675#11758196C2×D414yescomplemented
676C4×Dic61—22no—
677C4×Dic61—22no—
678C4×Dic61—22no—
679C4×Dic61—22no—
680C4×Dic61—22no—
681C4×Dic61—22no—
682C4×Dic61—22no—
683C4×Dic61—22no—
684C4×Dic61—22no—
685C4×Dic61C2×D414yescomplemented
686C4×Dic61C2×D414yescomplemented
687C23×C61—21no—
688C23×C61—21no—
689C23×C61—21no—
690C23×C61—21no—
691C23×C61—21no—
692C23×C61—21no—
693C23×C61—21no—
694C23×C61—21no—
695C23×C61—28no—
696C23×C61—28no—
697C23×C61—28no—
698C23×C61—21no—
699C23×C61—21no—
700C23×C61—21no—
701C23×C61—21no—
702C23×C61—21no—
703C23×C61—21no—
704C23×C61—21no—
705C23×C61—21no—
706C23×C61—21no—
707C23×C61—21no—
708C23×C61—21no—
709C23×C61—21no—
710C23×C61—21no—
711C23×C61—21no—
712C23×C61—21no—
713C23×C61—21no—
714C23×C61—21no—
715C23×C61—21no—
716C23×C61—21no—
717C23×C61—21no—
718C23×C61—21no—
719C23×C61—21no—
720C23×C61—21no—
721C23×C61—21no—
722C23×C61—21no—
723C23×C61—44no—
724C23×C61—44no—
725C23×C61—44no—
726C23×C61—44no—
727C23×C61—44no—
728C23×C61—44no—
729C23×C61—44no—
730C23×C61—44no—
731C23×C61—44no—
732C23×C61—44no—
733C23×C61—44no—
734C23×C61C22×D412yes—
735C23×C61C22×D412yes—
736C23×C61C22×D412yes—
737C23×C61C2×#4112yes—
738C23×C61C2×#4112yes—
739C23×C61C2×#4112yes—
740C23×C61C2×#4112yes—
741C23×C61C2×#4112yes—
742C23×C61C2×#4112yes—
743C23×C61C2511yescharacteristic
744C22×D61—28no—
745C22×D61—21no—
746C22×D61—21no—
747C22×D61—21no—
748C22×D61—21no—
749C22×D61—21no—
750C22×D61—21no—
751C22×D61—21no—
752C22×D61—21no—
753C22×D61—21no—
754C22×D61—21no—
755C22×D61—21no—
756C22×D61—21no—
757C22×D61—44no—
758C22×D61—44no—
759C22×D61—44no—
760C22×D61—44no—
761C22×D61—44no—
762C22×D61—44no—
763C22×D61C22×D412yes—
764C22×D61C2×#4112yes—
765D4×C61—28no—
766D4×C61—28no—
767D4×C61—28no—
768D4×C61—28no—
769D4×C61—44no—
770D4×C61—44no—
771D4×C61—44no—
772D4×C61—44no—
773D4×C61—44no—
774C2×C4×C61—28no—
775C2×C4×C61—21no—
776C2×C4×C61—21no—
777C2×C4×C61—21no—
778C2×C4×C61—21no—
779C2×C4×C61—21no—
780C2×C4×C61—21no—
781C2×C4×C61—21no—
782C2×C4×C61—21no—
783C2×C4×C61—21no—
784C2×C4×C61—21no—
785C2×C4×C61—21no—
786C2×C4×C61—21no—
787C2×C4×C61—21no—
788C2×C4×C61—21no—
789C2×C4×C61—21no—
790C2×C4×C61—21no—
791C2×C4×C61—21no—
792C2×C4×C61—21no—
793C2×C4×C61—21no—
794C2×C4×C61—21no—
795C2×C4×C61—21no—
796C2×C4×C61—21no—
797C2×C4×C61—21no—
798C2×C4×C61—44no—
799C2×C4×C61—44no—
800C2×C4×C61C22×D412yes—
801C2×C4×C61C22×D412yes—
802C2×C4×C61C22×D412yes—
803C2×C4×C61C2×#4112yes—
804C22⋊D61—28no—
805C22⋊D61—28no—
806C22⋊D61—28no—
807C22⋊D61—28no—
808C22⋊D61—44no—
809C22⋊D61—44no—
810C22⋊D61—44no—
811C22⋊D61—44no—
812C22⋊D61—44no—
813C22⋊D61—44no—
814C2×Dic61—28no—
815C2×Dic61—21no—
816C2×Dic61—21no—
817C2×Dic61—21no—
818C2×Dic61—21no—
819C2×Dic61—21no—
820C2×Dic61—21no—
821C2×Dic61—21no—
822C2×Dic61—21no—
823C2×Dic61—21no—
824C2×Dic61—21no—
825C2×Dic61—21no—
826C2×Dic61—21no—
827C2×Dic61—28no—
828C2×Dic61—28no—
829C2×Dic61—28no—
830C2×Dic61—21no—
831C2×Dic61—21no—
832C2×Dic61—21no—
833C2×Dic61—21no—
834C2×Dic61—21no—
835C2×Dic61—21no—
836C2×Dic61—21no—
837C2×Dic61—21no—
838C2×Dic61—21no—
839C2×Dic61—21no—
840C2×Dic61—21no—
841C2×Dic61—21no—
842C2×Dic61—21no—
843C2×Dic61—21no—
844C2×Dic61—21no—
845C2×Dic61—21no—
846C2×Dic61—21no—
847C2×Dic61—21no—
848C2×Dic61—21no—
849C2×Dic61—21no—
850C2×Dic61—21no—
851C2×Dic61—44no—
852C2×Dic61—44no—
853C2×Dic61—44no—
854C2×Dic61—44no—
855C2×Dic61—44no—
856C2×Dic61—44no—
857C2×Dic61—44no—
858C2×Dic61—44no—
859C2×Dic61—44no—
860C2×Dic61—44no—
861C2×Dic61C22×D412yes—
862C2×Dic61C22×D412yes—
863C2×Dic61C22×D412yes—
864C2×Dic61C22×D412yes—
865C2×Dic61C22×D412yes—
866C2×Dic61C22×D412yes—
867C2×Dic61C22×D412yes—
868C2×Dic61C2×#4112yes—
869C2×Dic61H(5,𝔽2)12yes—
870C4×D61—28no—
871C4×D61—44no—
872C4×D61—44no—
873C4×D61—44no—
874Dic122—44no—
875#34655—611nomaximal, Sylow
876C22×C61—22no—
877C22×C61—22no—
878C22×C61—22no—
879C22×C61—22no—
880C22×C61—22no—
881C22×C61—22no—
882C22×C61—22no—
883C22×C61—22no—
884C22×C61—22no—
885C22×C61—22no—
886C22×C61—22no—
887C22×C61—22no—
888C22×C61—22no—
889C22×C61—22no—
890C22×C61—22no—
891C22×C61—22no—
892C22×C61—22no—
893C22×C61—22no—
894C22×C61—22no—
895C22×C61—22no—
896C22×C61—22no—
897C22×C61—416no—
898C22×C61—416no—
899C22×C61—41no—
900C22×C61—41no—
901C22×C61—41no—
902C22×C61—41no—
903C22×C61—41no—
904C22×C61—41no—
905C22×C61—41no—
906C22×C61—41no—
907C22×C61—41no—
908C22×C61—41no—
909C22×C61—41no—
910C22×C61—41no—
911C22×C61—41no—
912C22×C61—41no—
913C22×C61—41no—
914C22×C61—41no—
915C22×C61—41no—
916C22×C61—41no—
917C22×C61—41no—
918C22×C61#52514yescomplemented
919C22×C61#52514yescomplemented
920C22×C61C23×D411yescharacteristic
921C22×C61C23×D411yescharacteristic
922C22×C61C22×#4111yescharacteristic
923C22×C61C22×#4111yescharacteristic
924C22×C61C22×#4111yescharacteristic
925C22×C61C2×H(5,𝔽2)11yescharacteristic
926C22×C61#58511yescharacteristic
927C2×D61—22no—
928C2×D61—22no—
929C2×D61—22no—
930C2×D61—22no—
931C2×D61—22no—
932C2×D61—22no—
933C2×D61—416no—
934C2×D61—41no—
935C2×D61—41no—
936C2×D61—41no—
937C2×D61—41no—
938C2×D61—41no—
939C2×D61—41no—
940C2×D61—41no—
941C2×D61—41no—
942C4×C61—22no—
943C4×C61—22no—
944C4×C61—22no—
945C4×C61—22no—
946C4×C61—41no—
947C4×C61—41no—
948C4×C61—41no—
949C4×C61—41no—
950C4×C61—41no—
951Dic61—22no—
952Dic61—22no—
953Dic61—22no—
954Dic61—22no—
955Dic61—22no—
956Dic61—22no—
957Dic61—41no—
958Dic61—41no—
959Dic61—41no—
960Dic61—41no—
961Dic61—41no—
962Dic61—41no—
963Dic61—41no—
964Dic61D4214yes—
965C2×#525—611no—
966C2×#525—611no—
967C22×C4×D4—611no—
968C22×C4×D4—611no—
969#2463—611no—
970#2456—611no—
971#2456—611no—
972#2455—611no—
973#2449—611no—
974#2449—611no—
975#2443—611no—
976#2443—611no—
977#2437—611no—
978#2424—611no—
979#2424—611no—
980#2418—611no—
981#2418—611no—
982#2410—611no—
983#2410D6111yescharacteristic, complemented
984#2403—611no—
985#2397—611no—
986#2392—611no—
987#2392—611no—
988#2388—611no—
989C4×#121—611no—
990C4×#121—611no—
991C4×#120—611no—
992C4×#120—611no—
993C4×#120—611no—
994#2290—611no—
995#2290—611no—
996C2×C61—24no—
997C2×C61—24no—
998C2×C61—42no—
999C2×C61—42no—
1000C2×C61—42no—
1001C2×C61—81no—
1002C2×C61C2×#52511yescharacteristic
1003C2×C61C2×#52511yescharacteristic
1004C2×C61#345911yescharacteristic
1005C2×C61C2×D4211yescharacteristic
1006C2×C61D4×#4111yescharacteristic
1007C2×C61D4×#4111yescharacteristic
1008C2×C61#348111yescharacteristic
1009D61—42no—
1010D61—42no—
1011C22×#41—611no—
1012C23×D4—611no—
1013C23×D4C2×D6111yescharacteristic
1014C24×C4—611no—
1015C24×C4—611no—
1016C24×C4—611no—
1017#525—1228no—
1018#525—1228no—
1019C2×#123—611no—
1020C2×#123—611no—
1021C2×#123—611no—
1022C2×#123—611no—
1023C2×C22⋊Q8—611no—
1024C2×C22⋊Q8—611no—
1025C2×C22⋊Q8—611no—
1026C2×C22⋊Q8—611no—
1027C2×#121—611no—
1028C2×#121—611no—
1029C2×#121—611no—
1030C2×#121—611no—
1031C2×#121C2×D6111yescharacteristic
1032C2×#121C2×D6111yescharacteristic
1033C2×#120—611no—
1034C2×#120—611no—
1035C2×#120—611no—
1036C2×#120—611no—
1037C2×#120—611no—
1038C2×#120C2×D6111yescharacteristic
1039C2×#120C2×D6111yescharacteristic, complemented
1040C2×C4×D4—611no—
1041C2×C4×D4—611no—
1042C2×C4×D4—611no—
1043C2×C4×D4—611no—
1044C2×C4×D4—611no—
1045C2×C4×D4—611no—
1046C2×C4×D4—611no—
1047C2×C4×D4—611no—
1048C2×C4×D4—611no—
1049C2×C4×D4—611no—
1050C2×C4×D4—611no—
1051C2×C4×D4—611no—
1052C2×C4×D4—611no—
1053C2×C4×D4—611no—
1054C2×C4×D4—611no—
1055C2×C4×D4—611no—
1056C2×C4×D4—611no—
1057C2×C4×D4—611no—
1058C2×C4×D4—611no—
1059C2×C4×D4—611no—
1060C2×C4×D4—611no—
1061C2×C4×D4—611no—
1062C2×C4×D4—611no—
1063C2×C4×D4—611no—
1064C2×C4×D4—1228no—
1065C2×C4×D4—1228no—
1066C2×#117—611no—
1067C2×#117—611no—
1068C22×C4⋊C4—611no—
1069C22×C4⋊C4—611no—
1070C22×C22⋊C4—611no—
1071C22×C22⋊C4—611no—
1072C22×C22⋊C4—611no—
1073C22×C22⋊C4C2×D6111yescharacteristic
1074C22×C42—611no—
1075C22×C42—611no—
1076#399—611no—
1077#399—611no—
1078#399—611no—
1079#399—611no—
1080#398—611no—
1081#398—611no—
1082#397—611no—
1083#397—611no—
1084#396—611no—
1085#396—611no—
1086#396—611no—
1087#396—611no—
1088#395—611no—
1089#394—611no—
1090#394—611no—
1091#394—611no—
1092#394—611no—
1093#394—611no—
1094#394—611no—
1095#394—611no—
1096#394C2×D6111yescharacteristic, complemented
1097#394C2×D6111yescharacteristic, complemented
1098#393—611no—
1099#392—611no—
1100#392—611no—
1101#392—611no—
1102#392—611no—
1103#392—611no—
1104#392—611no—
1105#392—611no—
1106#392C2×D6111yescharacteristic, complemented
1107#392C2×D6111yescharacteristic, complemented
1108#390—611no—
1109#390—611no—
1110#389—611no—
1111#389—611no—
1112#388—611no—
1113#388—611no—
1114#388—611no—
1115#388—611no—
1116#388—611no—
1117#388—611no—
1118#388—611no—
1119#388—611no—
1120#387—611no—
1121#387—611no—
1122#387—611no—
1123#387—611no—
1124#386—611no—
1125#386—611no—
1126#386—611no—
1127#386—611no—
1128#386—611no—
1129#386—611no—
1130#386—611no—
1131#386—611no—
1132#386—611no—
1133#386—611no—
1134#386—611no—
1135#386—611no—
1136#386—611no—
1137#386—611no—
1138#386C2×D6111yescharacteristic
1139#386C2×D6111yescharacteristic
1140#386C2×D6111yescharacteristic, complemented
1141#385—611no—
1142#385—611no—
1143#385—611no—
1144#385—611no—
1145#385—611no—
1146#385—611no—
1147#385—611no—
1148#385—611no—
1149#385—611no—
1150#385—611no—
1151#385—611no—
1152#385—611no—
1153#385C2×D6111yescharacteristic, complemented
1154#380—611no—
1155#380—611no—
1156#379—611no—
1157#379—611no—
1158#379C2×D6111yescharacteristic, complemented
1159C4×C4⋊C4—611no—
1160C4×C4⋊C4—611no—
1161C4×C22⋊C4—611no—
1162C4×C22⋊C4—611no—
1163C4×C22⋊C4—611no—
1164C4×C22⋊C4—611no—
1165C4×C22⋊C4—611no—
1166C4×C22⋊C4—611no—
1167C4×C22⋊C4—611no—
1168C4×C22⋊C4—611no—
1169#376—611no—
1170C61#3465511yescharacteristic, complemented, Sylow
1171C25—611no—
1172C25C22×D6111yescharacteristic
1173C25C22×D6111yescharacteristic
1174C2×#41—1224no—
1175C2×#41—1224no—
1176C2×#41—2442no—
1177C22×Q8—611no—
1178C22×D4—24no—
1179C22×D4—24no—
1180C22×D4—24no—
1181C22×D4—611no—
1182C22×D4—611no—
1183C22×D4—611no—
1184C22×D4—611no—
1185C22×D4—611no—
1186C22×D4—611no—
1187C22×D4—611no—
1188C22×D4—611no—
1189C22×D4—611no—
1190C22×D4—611no—
1191C22×D4—1224no—
1192C22×D4—1224no—
1193C22×D4—1224no—
1194C22×D4C22×D6111yescharacteristic
1195C22×D4C22×D6111yescharacteristic
1196C22×D4C22×D6111yescharacteristic
1197C22×D4C22×D6111yescharacteristic
1198C22×D4C22×D6111yescharacteristic
1199C22×D4C22×D6111yescharacteristic
1200C22×D4C22×D6111yescharacteristic
1201C22×D4C22×D6111yescharacteristic
1202C22×D4C22×D6111yescharacteristic
1203C23×C4—611no—
1204C23×C4—611no—
1205C23×C4—611no—
1206C23×C4—611no—
1207C23×C4—611no—
1208C23×C4—611no—
1209C23×C4—611no—
1210C23×C4—611no—
1211C23×C4—611no—
1212C23×C4—611no—
1213C23×C4—611no—
1214C23×C4—611no—
1215C23×C4—611no—
1216C23×C4—611no—
1217C23×C4—611no—
1218C23×C4—611no—
1219C23×C4—611no—
1220C23×C4—611no—
1221C23×C4—1224no—
1222C23×C4—1224no—
1223C23×C4—1224no—
1224C23×C4—1224no—
1225C23×C4—1224no—
1226C23×C4—1224no—
1227C23×C4—2442no—
1228C23×C4—2442no—
1229C23×C4—2442no—
1230C23×C4C22×D6111yescharacteristic
1231C23×C4C22×D6111yescharacteristic
1232C23×C4C22×D6111yescharacteristic
1233#123—1224no—
1234#123—1224no—
1235#123—1224no—
1236#123—1224no—
1237C22⋊Q8—1224no—
1238C22⋊Q8—1224no—
1239C22⋊Q8—1224no—
1240C22⋊Q8—1224no—
1241#121—24no—
1242#121—24no—
1243#121—1224no—
1244#121—1224no—
1245#121—1224no—
1246#121—1224no—
1247#120—24no—
1248#120—24no—
1249#120—1224no—
1250#120—1224no—
1251#120—1224no—
1252#120—1224no—
1253#120—1224no—
1254C4×D4—618no—
1255C4×D4—618no—
1256C4×D4—1224no—
1257C4×D4—1224no—
1258C4×D4—1224no—
1259C4×D4—1224no—
1260C4×D4—1224no—
1261C4×D4—1224no—
1262C4×D4—1224no—
1263C4×D4—1224no—
1264C4×D4—1224no—
1265C4×D4—1224no—
1266C4×D4—1224no—
1267C4×D4—1224no—
1268C4×D4—1224no—
1269C4×D4—1224no—
1270C4×D4—1224no—
1271C4×D4—1224no—
1272C4×D4—1224no—
1273C4×D4—1224no—
1274C4×D4—1224no—
1275C4×D4—1224no—
1276C4×D4—2442no—
1277C4×D4—2442no—
1278#117—1224no—
1279#117—1224no—
1280C2×C4⋊C4—611no—
1281C2×C4⋊C4—611no—
1282C2×C4⋊C4—611no—
1283C2×C4⋊C4—611no—
1284C2×C4⋊C4—611no—
1285C2×C4⋊C4—611no—
1286C2×C4⋊C4—611no—
1287C2×C4⋊C4—611no—
1288C2×C4⋊C4—611no—
1289C2×C4⋊C4—611no—
1290C2×C4⋊C4—611no—
1291C2×C4⋊C4—611no—
1292C2×C4⋊C4—611no—
1293C2×C4⋊C4—611no—
1294C2×C4⋊C4—611no—
1295C2×C4⋊C4—611no—
1296C2×C4⋊C4—611no—
1297C2×C4⋊C4—611no—
1298C2×C4⋊C4—611no—
1299C2×C4⋊C4—611no—
1300C2×C4⋊C4—611no—
1301C2×C4⋊C4—611no—
1302C2×C4⋊C4—1224no—
1303C2×C4⋊C4—1224no—
1304C2×C4⋊C4C22×D6111yescharacteristic
1305C2×C4⋊C4C22×D6111yescharacteristic
1306C2×C22⋊C4—24no—
1307C2×C22⋊C4—611no—
1308C2×C22⋊C4—611no—
1309C2×C22⋊C4—611no—
1310C2×C22⋊C4—611no—
1311C2×C22⋊C4—611no—
1312C2×C22⋊C4—611no—
1313C2×C22⋊C4—611no—
1314C2×C22⋊C4—611no—
1315C2×C22⋊C4—611no—
1316C2×C22⋊C4—611no—
1317C2×C22⋊C4—611no—
1318C2×C22⋊C4—611no—
1319C2×C22⋊C4—611no—
1320C2×C22⋊C4—611no—
1321C2×C22⋊C4—611no—
1322C2×C22⋊C4—611no—
1323C2×C22⋊C4—611no—
1324C2×C22⋊C4—611no—
1325C2×C22⋊C4—611no—
1326C2×C22⋊C4—611no—
1327C2×C22⋊C4—611no—
1328C2×C22⋊C4—611no—
1329C2×C22⋊C4—611no—
1330C2×C22⋊C4—611no—
1331C2×C22⋊C4—611no—
1332C2×C22⋊C4—611no—
1333C2×C22⋊C4—611no—
1334C2×C22⋊C4—611no—
1335C2×C22⋊C4—611no—
1336C2×C22⋊C4—611no—
1337C2×C22⋊C4—611no—
1338C2×C22⋊C4—611no—
1339C2×C22⋊C4—611no—
1340C2×C22⋊C4—611no—
1341C2×C22⋊C4—611no—
1342C2×C22⋊C4—611no—
1343C2×C22⋊C4—611no—
1344C2×C22⋊C4—1224no—
1345C2×C22⋊C4—1224no—
1346C2×C22⋊C4—1224no—
1347C2×C22⋊C4C22×D6111yescharacteristic
1348C2×C22⋊C4C22×D6111yescharacteristic
1349C2×C22⋊C4C22×D6111yescharacteristic
1350C2×C22⋊C4C22×D6111yescharacteristic
1351C2×C22⋊C4C22×D6111yescharacteristic
1352C2×C22⋊C4C22×D6111yescharacteristic
1353C2×C22⋊C4C22×D6111yescharacteristic
1354C2×C22⋊C4C22×D6111yescharacteristic
1355C2×C22⋊C4C22×D6111yescharacteristic
1356C2×C22⋊C4C22×D6111yescharacteristic
1357C2×C22⋊C4C22×D6111yescharacteristic
1358C2×C22⋊C4C22×D6111yescharacteristic
1359C2×C22⋊C4C22×D6111yescharacteristic
1360C2×C22⋊C4C22×D6111yescharacteristic
1361C2×C22⋊C4C22×D6111yescharacteristic
1362C2×C42—611no—
1363C2×C42—611no—
1364C2×C42—611no—
1365C2×C42—611no—
1366C2×C42—611no—
1367C2×C42—611no—
1368C2×C42—611no—
1369C2×C42—611no—
1370C2×C42—611no—
1371C2×C42—611no—
1372C2×C42—611no—
1373C2×C42—1224no—
1374C2×C42—1224no—
1375#95—611no—
1376#95—611no—
1377#95—611no—
1378#95—611no—
1379#95—611no—
1380#95—611no—
1381#95—611no—
1382#95—611no—
1383#95—611no—
1384#95—611no—
1385#95—611no—
1386#95—611no—
1387#95—611no—
1388#95—611no—
1389#95—611no—
1390#95—611no—
1391#95—611no—
1392#95—611no—
1393#95—611no—
1394#95—611no—
1395#95C22×D6111yescharacteristic
1396#95C22×D6111yescharacteristic
1397#95C22×D6111yescharacteristic
1398#95C22×D6111yescharacteristic
1399C24—22no—
1400C24—22no—
1401C24—22no—
1402C24—22no—
1403C24—22no—
1404C24—22no—
1405C24—22no—
1406C24—22no—
1407C24—22no—
1408C24—41no—
1409C24—41no—
1410C24—41no—
1411C24—41no—
1412C24—611no—
1413C24—611no—
1414C24—1222no—
1415C24—1222no—
1416C24—1222no—
1417C24—1222no—
1418C24—1222no—
1419C24—2441no—
1420C24—2441no—
1421C24#1175822414yescomplemented
1422C24C23×D6111yescharacteristic
1423C24C23×D6111yescharacteristic
1424C24C23×D6111yescharacteristic
1425C24C23×D6111yescharacteristic
1426C24C23×D6111yescharacteristic
1427C24C23×D6111yescharacteristic
1428#41—24416no—
1429C2×Q8—1222no—
1430C2×Q8—1222no—
1431C2×Q8—2441no—
1432C2×D4—232no—
1433C2×D4—22no—
1434C2×D4—22no—
1435C2×D4—22no—
1436C2×D4—22no—
1437C2×D4—22no—
1438C2×D4—22no—
1439C2×D4—22no—
1440C2×D4—22no—
1441C2×D4—22no—
1442C2×D4—22no—
1443C2×D4—22no—
1444C2×D4—22no—
1445C2×D4—22no—
1446C2×D4—22no—
1447C2×D4—22no—
1448C2×D4—22no—
1449C2×D4—22no—
1450C2×D4—22no—
1451C2×D4—22no—
1452C2×D4—22no—
1453C2×D4—22no—
1454C2×D4—41no—
1455C2×D4—41no—
1456C2×D4—41no—
1457C2×D4—41no—
1458C2×D4—614no—
1459C2×D4—614no—
1460C2×D4—1222no—
1461C2×D4—1222no—
1462C2×D4—1222no—
1463C2×D4—1222no—
1464C2×D4—1222no—
1465C2×D4—1222no—
1466C2×D4—12232no—
1467C2×D4—1222no—
1468C2×D4—1222no—
1469C2×D4—1222no—
1470C2×D4—1222no—
1471C2×D4—1222no—
1472C2×D4—1222no—
1473C2×D4—1222no—
1474C2×D4—1222no—
1475C2×D4—1222no—
1476C2×D4—1222no—
1477C2×D4—1222no—
1478C2×D4—1222no—
1479C2×D4—1222no—
1480C2×D4—1222no—
1481C2×D4—1222no—
1482C2×D4—1222no—
1483C2×D4—2441no—
1484C2×D4—2441no—
1485C2×D4—2441no—
1486C2×D4—2441no—
1487C2×D4—2441no—
1488C2×D4—2441no—
1489C2×D4D4×D6114yes—
1490C2×D4#1175822414yescomplemented
1491C22×C4—22no—
1492C22×C4—22no—
1493C22×C4—22no—
1494C22×C4—22no—
1495C22×C4—22no—
1496C22×C4—22no—
1497C22×C4—22no—
1498C22×C4—41no—
1499C22×C4—41no—
1500C22×C4—611no—
1501C22×C4—614no—
1502C22×C4—614no—
1503C22×C4—614no—
1504C22×C4—611no—
1505C22×C4—611no—
1506C22×C4—611no—
1507C22×C4—611no—
1508C22×C4—611no—
1509C22×C4—611no—
1510C22×C4—614no—
1511C22×C4—611no—
1512C22×C4—611no—
1513C22×C4—611no—
1514C22×C4—611no—
1515C22×C4—611no—
1516C22×C4—611no—
1517C22×C4—611no—
1518C22×C4—1222no—
1519C22×C4—1222no—
1520C22×C4—1222no—
1521C22×C4—1222no—
1522C22×C4—1222no—
1523C22×C4—1222no—
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—1222no—
1543C22×C4—1222no—
1544C22×C4—1222no—
1545C22×C4—1222no—
1546C22×C4—1222no—
1547C22×C4—1222no—
1548C22×C4—1222no—
1549C22×C4—1222no—
1550C22×C4—1222no—
1551C22×C4—1222no—
1552C22×C4—1222no—
1553C22×C4—1222no—
1554C22×C4—1222no—
1555C22×C4—1222no—
1556C22×C4—1222no—
1557C22×C4—1222no—
1558C22×C4—1222no—
1559C22×C4—2441no—
1560C22×C4—2441no—
1561C22×C4—24416no—
1562C22×C4—2441no—
1563C22×C4—2441no—
1564C22×C4—2441no—
1565C22×C4—2441no—
1566C22×C4—2441no—
1567C22×C4—2441no—
1568C22×C4—2441no—
1569C22×C4—24416no—
1570C22×C4—24416no—
1571C22×C4C23×D6111yescharacteristic
1572C22×C4C23×D6111yescharacteristic
1573C22×C4C23×D6111yescharacteristic
1574C22×C4C23×D6111yescharacteristic
1575C22×C4C23×D6111yescharacteristic
1576C22×C4C23×D6111yescharacteristic
1577C22×C4C23×D6111yescharacteristic
1578C22×C4C23×D6111yescharacteristic
1579C22×C4C23×D6111yescharacteristic
1580C4⋊C4—22no—
1581C4⋊C4—22no—
1582C4⋊C4—614no—
1583C4⋊C4—614no—
1584C4⋊C4—1222no—
1585C4⋊C4—1222no—
1586C4⋊C4—1222no—
1587C4⋊C4—1222no—
1588C4⋊C4—1222no—
1589C4⋊C4—1222no—
1590C4⋊C4—1222no—
1591C4⋊C4—1222no—
1592C4⋊C4—1222no—
1593C4⋊C4—1222no—
1594C4⋊C4—1222no—
1595C4⋊C4—1222no—
1596C4⋊C4—1222no—
1597C4⋊C4—1222no—
1598C4⋊C4—1222no—
1599C4⋊C4—1222no—
1600C4⋊C4—2441no—
1601C4⋊C4—2441no—
1602C4⋊C4—2441no—
1603C4⋊C4—2441no—
1604C22⋊C4—22no—
1605C22⋊C4—22no—
1606C22⋊C4—22no—
1607C22⋊C4—22no—
1608C22⋊C4—22no—
1609C22⋊C4—22no—
1610C22⋊C4—22no—
1611C22⋊C4—22no—
1612C22⋊C4—22no—
1613C22⋊C4—22no—
1614C22⋊C4—22no—
1615C22⋊C4—22no—
1616C22⋊C4—41no—
1617C22⋊C4—41no—
1618C22⋊C4—614no—
1619C22⋊C4—614no—
1620C22⋊C4—614no—
1621C22⋊C4—1222no—
1622C22⋊C4—1222no—
1623C22⋊C4—1222no—
1624C22⋊C4—1222no—
1625C22⋊C4—1222no—
1626C22⋊C4—1222no—
1627C22⋊C4—1222no—
1628C22⋊C4—1222no—
1629C22⋊C4—1222no—
1630C22⋊C4—1222no—
1631C22⋊C4—1222no—
1632C22⋊C4—1222no—
1633C22⋊C4—1222no—
1634C22⋊C4—1222no—
1635C22⋊C4—1222no—
1636C22⋊C4—1222no—
1637C22⋊C4—1222no—
1638C22⋊C4—1222no—
1639C22⋊C4—1222no—
1640C22⋊C4—1222no—
1641C22⋊C4—1222no—
1642C22⋊C4—1222no—
1643C22⋊C4—1222no—
1644C22⋊C4—1222no—
1645C22⋊C4—1222no—
1646C22⋊C4—1222no—
1647C22⋊C4—1222no—
1648C22⋊C4—1222no—
1649C22⋊C4—1222no—
1650C22⋊C4—2441no—
1651C22⋊C4—2441no—
1652C22⋊C4—2441no—
1653C22⋊C4—2441no—
1654C22⋊C4—2441no—
1655C22⋊C4D4×D6114yes—
1656C42—614no—
1657C42—614no—
1658C42—1222no—
1659C42—1222no—
1660C42—1222no—
1661C42—1222no—
1662C42—1222no—
1663C42—1222no—
1664C42—1222no—
1665C42—1222no—
1666C42—1222no—
1667C23—21no—
1668C23—21no—
1669C23—21no—
1670C23—21no—
1671C23—21no—
1672C23—21no—
1673C23—21no—
1674C23—21no—
1675C23—28no—
1676C23—28no—
1677C23—28no—
1678C23—21no—
1679C23—21no—
1680C23—21no—
1681C23—21no—
1682C23—21no—
1683C23—21no—
1684C23—21no—
1685C23—21no—
1686C23—21no—
1687C23—21no—
1688C23—21no—
1689C23—21no—
1690C23—21no—
1691C23—21no—
1692C23—21no—
1693C23—21no—
1694C23—21no—
1695C23—21no—
1696C23—21no—
1697C23—21no—
1698C23—21no—
1699C23—21no—
1700C23—21no—
1701C23—21no—
1702C23—21no—
1703C23—44no—
1704C23—44no—
1705C23—44no—
1706C23—44no—
1707C23—44no—
1708C23—44no—
1709C23—44no—
1710C23—44no—
1711C23—44no—
1712C23—44no—
1713C23—44no—
1714C23—612no—
1715C23—612no—
1716C23—1228no—
1717C23—1221no—
1718C23—1221no—
1719C23—1221no—
1720C23—1221no—
1721C23—1221no—
1722C23—1221no—
1723C23—1221no—
1724C23—1221no—
1725C23—1221no—
1726C23—1221no—
1727C23—1221no—
1728C23—1221no—
1729C23—2444no—
1730C23—2444no—
1731C23—2444no—
1732C23—2444no—
1733C23—2444no—
1734C23—2444no—
1735C23C2×D4×D6112yes—
1736C23C2×D4×D6112yes—
1737C23C2×D4×D6112yes—
1738C23#41×D6112yes—
1739C23C2×#1175822412yes—
1740C23C2×#1175822412yes—
1741C23C2×#1175822412yes—
1742C23C2×#1175822412yes—
1743C23C2×#1175822412yes—
1744C23C24×D6111yescharacteristic
1745Q8—2444no—
1746D4—28no—
1747D4—28no—
1748D4—28no—
1749D4—28no—
1750D4—44no—
1751D4—44no—
1752D4—44no—
1753D4—44no—
1754D4—44no—
1755D4—1228no—
1756D4—1228no—
1757D4—1228no—
1758D4—1228no—
1759D4—2444no—
1760D4—2444no—
1761D4—2444no—
1762D4—2444no—
1763D4—2444no—
1764D4—2444no—
1765C2×C4—28no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—21no—
1777C2×C4—21no—
1778C2×C4—21no—
1779C2×C4—21no—
1780C2×C4—21no—
1781C2×C4—21no—
1782C2×C4—21no—
1783C2×C4—21no—
1784C2×C4—21no—
1785C2×C4—21no—
1786C2×C4—21no—
1787C2×C4—21no—
1788C2×C4—21no—
1789C2×C4—44no—
1790C2×C4—44no—
1791C2×C4—612no—
1792C2×C4—612no—
1793C2×C4—612no—
1794C2×C4—612no—
1795C2×C4—612no—
1796C2×C4—612no—
1797C2×C4—612no—
1798C2×C4—612no—
1799C2×C4—612no—
1800C2×C4—1228no—
1801C2×C4—1228no—
1802C2×C4—1228no—
1803C2×C4—1228no—
1804C2×C4—1228no—
1805C2×C4—1221no—
1806C2×C4—1221no—
1807C2×C4—1221no—
1808C2×C4—1221no—
1809C2×C4—1221no—
1810C2×C4—1221no—
1811C2×C4—1221no—
1812C2×C4—1221no—
1813C2×C4—1221no—
1814C2×C4—1221no—
1815C2×C4—1221no—
1816C2×C4—1221no—
1817C2×C4—1221no—
1818C2×C4—1221no—
1819C2×C4—1221no—
1820C2×C4—1221no—
1821C2×C4—1221no—
1822C2×C4—1221no—
1823C2×C4—1221no—
1824C2×C4—1221no—
1825C2×C4—1221no—
1826C2×C4—1221no—
1827C2×C4—1221no—
1828C2×C4—1221no—
1829C2×C4—1221no—
1830C2×C4—1221no—
1831C2×C4—1221no—
1832C2×C4—1221no—
1833C2×C4—1221no—
1834C2×C4—1221no—
1835C2×C4—1221no—
1836C2×C4—1221no—
1837C2×C4—1221no—
1838C2×C4—2444no—
1839C2×C4—2444no—
1840C2×C4—2444no—
1841C2×C4—2444no—
1842C2×C4—2444no—
1843C2×C4—2444no—
1844C2×C4—2444no—
1845C2×C4—2444no—
1846C2×C4—2444no—
1847C2×C4—2444no—
1848C2×C4—2444no—
1849C2×C4—2444no—
1850C2×C4—2444no—
1851C2×C4C2×D4×D6112yes—
1852C2×C4C2×D4×D6112yes—
1853C2×C4C2×D4×D6112yes—
1854C2×C4C2×#1175822412yes—
1855C22—22no—
1856C22—22no—
1857C22—22no—
1858C22—22no—
1859C22—22no—
1860C22—22no—
1861C22—22no—
1862C22—22no—
1863C22—22no—
1864C22—22no—
1865C22—22no—
1866C22—22no—
1867C22—22no—
1868C22—22no—
1869C22—22no—
1870C22—22no—
1871C22—22no—
1872C22—22no—
1873C22—22no—
1874C22—22no—
1875C22—22no—
1876C22—416no—
1877C22—416no—
1878C22—41no—
1879C22—41no—
1880C22—41no—
1881C22—41no—
1882C22—41no—
1883C22—41no—
1884C22—41no—
1885C22—41no—
1886C22—41no—
1887C22—41no—
1888C22—41no—
1889C22—41no—
1890C22—41no—
1891C22—41no—
1892C22—41no—
1893C22—41no—
1894C22—41no—
1895C22—41no—
1896C22—41no—
1897C22—1222no—
1898C22—1222no—
1899C22—1222no—
1900C22—1222no—
1901C22—1222no—
1902C22—1222no—
1903C22—24416no—
1904C22—2441no—
1905C22—2441no—
1906C22—2441no—
1907C22—2441no—
1908C22—2441no—
1909C22—2441no—
1910C22—2441no—
1911C22—2441no—
1912C22#1684026814yescomplemented
1913C22#1684027214yescomplemented
1914C22C22×D4×D6111yescharacteristic
1915C22C22×D4×D6111yescharacteristic
1916C22C2×#41×D6111yescharacteristic
1917C22C22×#1175822411yescharacteristic
1918C22C22×#1175822411yescharacteristic
1919C22H(5,𝔽2)×D6111yescharacteristic
1920C22#1684059711yescharacteristic
1921C4—22no—
1922C4—22no—
1923C4—22no—
1924C4—22no—
1925C4—41no—
1926C4—41no—
1927C4—41no—
1928C4—41no—
1929C4—41no—
1930C4—614no—
1931C4—1222no—
1932C4—1222no—
1933C4—1222no—
1934C4—1222no—
1935C4—1222no—
1936C4—1222no—
1937C4—2441no—
1938C4—2441no—
1939C4—2441no—
1940C4—2441no—
1941C4—2441no—
1942C4—2441no—
1943C4—2441no—
1944C2—24no—
1945C2—24no—
1946C2—42no—
1947C2—42no—
1948C2—42no—
1949C2—81no—
1950C2—2442no—
1951C2—2442no—
1952C2C2×#1684026811yescharacteristic
1953C2C2×#1684027211yescharacteristic
1954C2#2145922511yescharacteristic
1955C2D42×D6111yescharacteristic
1956C2D4×#1175822411yescharacteristic
1957C2#2145930311yescharacteristic
1958C2#2145942411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutator, socle, cosocleC23×C61C25
FittingC61×#2410C2
hypercenter#2410D61
hypocenterC61#34655
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2410

Complements

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

NH ≅ G/Ntype
1. C2×#16840272C2semidirect
2. C2×#16840268C2semidirect
3. C22×D4×Dic61C2semidirect
4. C22×#14519737C2semidirect
5. #21449811C2semidirect
6. #21449712C2semidirect
7. #21449706C2semidirect
8. #21449697C2semidirect
9. #21449632C2semidirect
10. #21449626C2semidirect
11. #21449560C2semidirect
12. #21449550C2semidirect
13. #21449480C2semidirect
14. #21449361C2semidirect
15. #21449351C2semidirect
16. #21449285C2semidirect
17. #21449279C2semidirect
18. #21449194C2semidirect
19. #21449129C2semidirect
20. #21449097C2semidirect
21. #21449062C2semidirect
22. #21449058C2semidirect
23. #21449031C2semidirect
24. #121×Dic61C2semidirect
25. #21448329C2semidirect
26. #21448324C2semidirect
27. #120×Dic61C2semidirect
28. #21448318C2semidirect
29. #21448259C2semidirect
30. #21448255C2semidirect
31. C61×#2410C2semidirect
32. C22×#11758224C22semidirect
35. C24×Dic61C22semidirect
36. C23×C4×D61C22semidirect
39. C2×#14519761C22semidirect
40. C2×#14519759C22semidirect
41. C2×#14519759C22semidirect
42. C2×#14519758C22semidirect
43. C2×#14519757C22semidirect
44. C2×#14519756C22semidirect
45. C2×#14519754C22semidirect
46. C2×#14519754C22semidirect
49. C2×#14519749C22semidirect
50. C2×#14519748C22semidirect
55. C2×#14519745C22semidirect
61. C2×D4×Dic61C22semidirect
62. C2×D4×Dic61C22semidirect
63. C2×D4×Dic61C22semidirect
64. C2×D4×Dic61C22semidirect
65. C2×D4×Dic61C22semidirect
66. C2×D4×Dic61C22semidirect
67. C2×D4×Dic61C22semidirect
68. C2×D4×Dic61C22semidirect
74. C2×#14519737C22semidirect
75. C2×#14519737C22semidirect
76. C2×#14519737C22semidirect
77. C2×#14519737C22semidirect
78. C2×#14519737C22semidirect
79. C2×#14519737C22semidirect
80. C2×#14519737C22semidirect
81. C2×#14519737C22semidirect
82. C2×#14519735C22semidirect
83. C2×#14519733C22semidirect
84. C22×C4⋊Dic61C22semidirect
85. C22×#11758196C22semidirect
87. C22×C22⋊Dic61C22semidirect
88. C22×#11758198C22semidirect
89. C22×C4×Dic61C22semidirect
90. C22×C4×Dic61C22semidirect
91. #16839699C22semidirect
92. #16839698C22semidirect
93. #16839698C22semidirect
94. #16839698C22semidirect
95. #16839696C22semidirect
96. #16839692C22semidirect
97. #16839690C22semidirect
98. #16839689C22semidirect
99. #16839685C22semidirect
100. #16839685C22semidirect
101. #16839685C22semidirect
102. #16839684C22semidirect
103. #16839683C22semidirect
104. #16839678C22semidirect
105. #16839678C22semidirect
106. #16839678C22semidirect
107. #16839677C22semidirect
108. #16839677C22semidirect
109. #16839677C22semidirect
110. #16839676C22semidirect
111. #16839674C22semidirect
116. #16839670C22semidirect
117. #16839670C22semidirect
118. #16839670C22semidirect
119. #16839665C22semidirect
120. #16839662C22semidirect
121. #16839661C22semidirect
122. #16839659C22semidirect
123. #16839656C22semidirect
124. #16839655C22semidirect
125. #16839655C22semidirect
126. #16839654C22semidirect
127. #16839654C22semidirect
128. #16839652C22semidirect
129. #16839650C22semidirect
130. #16839650C22semidirect
131. #16839649C22semidirect
132. #16839647C22semidirect
133. #16839645C22semidirect
134. #16839643C22semidirect
137. #16839642C22semidirect
138. #16839642C22semidirect
139. #16839642C22semidirect
140. #16839642C22semidirect
145. #16839639C22semidirect
146. #16839639C22semidirect
147. #16839638C22semidirect
148. #16839638C22semidirect
149. #16839637C22semidirect
150. #16839637C22semidirect
151. #16839637C22semidirect
152. #16839637C22semidirect
153. #16839636C22semidirect
154. #16839636C22semidirect
155. #16839635C22semidirect
156. #16839635C22semidirect
157. #16839634C22semidirect
158. #16839634C22semidirect
159. #16839634C22semidirect
160. #16839634C22semidirect
161. #16839622C22semidirect
162. #16839620C22semidirect
164. #16839617C22semidirect
165. C4⋊C4×Dic61C22semidirect
166. #16839613C22semidirect
167. C22⋊C4×Dic61C22semidirect
168. C22⋊C4×Dic61C22semidirect
169. C22⋊C4×Dic61C22semidirect
170. C22⋊C4×Dic61C22semidirect
171. C22⋊C4×Dic61C22semidirect
172. C22⋊C4×Dic61C22semidirect
173. #16839609C22semidirect
174. #16839609C22semidirect
175. #16839607C22semidirect
180. C2×#120×C61C22semidirect
182. C61×#394C22semidirect
183. C61×#394C22semidirect
184. C61×#392C22semidirect
185. C61×#392C22semidirect
188. C61×#386C22semidirect
189. C61×#385C22semidirect
190. C61×#379C22semidirect
264. D4×Dic61D4semidirect
276. #14519737D4semidirect
432. C24×C61#41semidirect
475. C2×D4×C61#41semidirect
524. C2×C22⋊D61#41semidirect
568. C22×Dic61C2×D4semidirect
596. C2×C4×D61C2×D4semidirect
639. C22⋊Dic61C2×D4semidirect
653. #11758198C2×D4semidirect
663. C4⋊Dic61C2×D4semidirect
675. #11758196C2×D4semidirect
685. C4×Dic61C2×D4semidirect
686. C4×Dic61C2×D4semidirect
918. C22×C61#525semidirect
919. C22×C61#525semidirect
983. #2410D61semidirect
1039. C2×#120C2×D61semidirect
1096. #394C2×D61semidirect
1097. #394C2×D61semidirect
1106. #392C2×D61semidirect
1107. #392C2×D61semidirect
1140. #386C2×D61semidirect
1153. #385C2×D61semidirect
1158. #379C2×D61semidirect
1170. C61#34655semidirect
1421. C24#11758224semidirect
1490. C2×D4#11758224semidirect
1912. C22#16840268semidirect
1913. C22#16840272semidirect

Maximal subgroups

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

subgroupindex
C2×#168402722
C2×#168402682
C22×D4×Dic612
C22×#145197372
#214498112
#214497122
#214497062
#214496972
#214496322
#214496262
#214495602
#214495502
#214494802
#214493612
#214493512
#214492852
#214492792
#214491942
#214491292
#214490972
#214490622
#214490582
#214490312
#121×Dic612
#214483292
#214483242
#120×Dic612
#214483182
#214482592
#214482552
C61×#24102
#3465561