Finite Group Databasebeta

← #29695340

Subgroups — #29695340

Order 15616.

1668 conjugacy classes of subgroups.

The subgroup lattice has 1398 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840402C211yesmaximal, characteristic
2C2×#16839735C211yesmaximal, characteristic, complemented
3C22×#14519691C211yesmaximal, characteristic, complemented
4#21448668C211yesmaximal, characteristic, complemented
5#21446655C211yesmaximal, characteristic, complemented
6#21446654C211yesmaximal, characteristic, complemented
7#21446277C211yesmaximal, characteristic, complemented
8#21446275C211yesmaximal, characteristic, complemented
9#21446272C211yesmaximal, characteristic, complemented
10#21446270C211yesmaximal, characteristic, complemented
11#21445804C211yesmaximal, characteristic, complemented
12#21445736C211yesmaximal, characteristic, complemented
13#21445733C211yesmaximal, characteristic, complemented
14C4×#14519691C211yesmaximal, characteristic, complemented
15C61×#2342C211yesmaximal, characteristic, complemented
16C22×#11758222C2211yescharacteristic
17C23×C22⋊D61C2211yescharacteristic
18#16840402—21no—
19#16840402—21no—
20#16840402—21no—
21#16840402—21no—
22#16840402—21no—
23#16840402—21no—
24#16840402—21no—
25#16840402—21no—
26C2×#14519763C411yescharacteristic, complemented
27C2×#14519760C2211yescharacteristic
28C2×#14519759C411yescharacteristic, complemented
29C2×#14519754C411yescharacteristic, complemented
30C2×#14519751C2211yescharacteristic
31C2×#14519750C411yescharacteristic, complemented
32C2×#14519750C411yescharacteristic, complemented
33C2×#14519747C411yescharacteristic, complemented
34C2×#14519746C2211yescharacteristic
35C2×C4×C22⋊D61C2211yescharacteristic
36C2×#14519737C411yescharacteristic, complemented
37C2×#14519736C2211yescharacteristic, complemented
38C22×C22⋊Dic61C2211yescharacteristic
39C2×C22⋊C4×D61C411yescharacteristic, complemented
40#16839735—24no—
41C2×#14519691—24no—
42C2×#14519691C2211yescharacteristic
43C2×#14519691C2211yescharacteristic
44C2×#14519691C2211yescharacteristic
45C2×#14519691C2211yescharacteristic
46C2×#14519691C2211yescharacteristic
47C2×#14519691C2211yescharacteristic
48C2×#14519691C2211yescharacteristic
49C2×#14519691C2211yescharacteristic
50C2×#14519691C2211yescharacteristic, complemented
51C2×#14519691C2211yescharacteristic, complemented
52C2×#14519691C2211yescharacteristic, complemented
53C2×#14519691C2211yescharacteristic, complemented
54#16839655—21no—
55#16839655—21no—
56#16839637—21no—
57#16839625C2211yescharacteristic, complemented
58#16839622C2211yescharacteristic, complemented
59#16839618C2211yescharacteristic
60C22⋊C4×Dic61—21no—
61C4×C22⋊Dic61C2211yescharacteristic, complemented
62#16839528C2211yescharacteristic, complemented
63#16839528C2211yescharacteristic, complemented
64#16839528C2211yescharacteristic, complemented
65#16839528C2211yescharacteristic, complemented
66C2×#117×C61C2211yescharacteristic, complemented
67C22×C22⋊C4×C61C2211yescharacteristic
68C22×C22⋊C4×C61C2211yescharacteristic
69C61×#388—21no—
70C61×#388—21no—
71C61×#385—21no—
72C61×#381C2211yescharacteristic, complemented
73C61×#380C2211yescharacteristic, complemented
74C61×#379C2211yescharacteristic
75C4×C22⋊C4×C61—21no—
76C4×C22⋊C4×C61C2211yescharacteristic, complemented
77C24×D61C2×C411yescharacteristic
78C2×#11758222—21no—
79C2×#11758222—21no—
80C2×#11758222—21no—
81C2×#11758222—21no—
82C2×#11758222—22no—
83C2×#11758222—22no—
84C2×#11758222—41no—
85C2×#11758222—41no—
86C22×Dic122C2×C411yescharacteristic, complemented
87C22×D244C2×C411yescharacteristic, complemented
88C22×D244C2×C411yescharacteristic, complemented
89C22×C22⋊D61—21no—
90C22×C22⋊D61—21no—
91C22×C22⋊D61—21no—
92C22×C22⋊D61—21no—
93C22×C22⋊D61—22no—
94C22×C22⋊D61—22no—
95C22×C22⋊D61—41no—
96C22×C22⋊D61—41no—
97C22×C22⋊D61C2×C411yescharacteristic
98C22×C22⋊D61C2×C411yescharacteristic
99C22×C22⋊D61C2×C411yescharacteristic
100C22×C22⋊D61C2×C411yescharacteristic
101C22×C22⋊D61C2311yescharacteristic
102C22×C22⋊D61C2311yescharacteristic
103C22×C22⋊D61C2311yescharacteristic
104C23×Dic61—21no—
105C23×Dic61C2×C411yescharacteristic
106C22×C4×D61C2×C411yescharacteristic, complemented
107C22×C4×D61C2×C411yescharacteristic, complemented
108C22×C4×D61C2×C411yescharacteristic, complemented
109#14519763—21no—
110#14519763—21no—
111#14519763—21no—
112#14519763—21no—
113#14519760—21no—
114#14519760—21no—
115#14519760—21no—
116#14519760—21no—
117#14519759—21no—
118#14519759—21no—
119#14519759—21no—
120#14519759—21no—
121#14519754—21no—
122#14519754—21no—
123#14519754—21no—
124#14519754—21no—
125#14519751—21no—
126#14519751—21no—
127#14519751—21no—
128#14519751—21no—
129#14519750—21no—
130#14519750—21no—
131#14519750—21no—
132#14519750—21no—
133#14519750—21no—
134#14519750—21no—
135#14519750—21no—
136#14519750—21no—
137#14519747—21no—
138#14519747—21no—
139#14519747—21no—
140#14519747—21no—
141#14519746—21no—
142#14519746—21no—
143#14519746—21no—
144#14519746—21no—
145C4×C22⋊D61—21no—
146C4×C22⋊D61—21no—
147C4×C22⋊D61—21no—
148C4×C22⋊D61—21no—
149#14519737—21no—
150#14519737—21no—
151#14519737—21no—
152#14519737—21no—
153#14519736—22no—
154#14519736—41no—
155C2×C4⋊Dic61—21no—
156C2×C4⋊Dic61—21no—
157C2×C4⋊Dic61C2×C411yescharacteristic, complemented
158C2×#11758196C2×C411yescharacteristic, complemented
159C2×#11758196C2×C411yescharacteristic, complemented
160C2×#11758196C2×C411yescharacteristic, complemented
161C2×C22⋊Dic61—22no—
162C2×C22⋊Dic61—21no—
163C2×C22⋊Dic61—21no—
164C2×C22⋊Dic61—21no—
165C2×C22⋊Dic61—41no—
166C2×C22⋊Dic61C2×C411yescharacteristic
167C2×C22⋊Dic61C2×C411yescharacteristic
168C2×C22⋊Dic61C2311yescharacteristic
169C2×C22⋊Dic61C2311yescharacteristic
170C2×C22⋊Dic61C2311yescharacteristic
171C2×C22⋊Dic61C2311yescharacteristic
172C2×C22⋊Dic61C2311yescharacteristic
173C2×#11758198C2×C411yescharacteristic, complemented
174C2×#11758198C2×C411yescharacteristic, complemented
175C2×#11758198C2×C411yescharacteristic, complemented
176C2×#11758198C2×C411yescharacteristic, complemented
177C2×#11758198C2×C411yescharacteristic, complemented
178C22⋊C4×D61—21no—
179C22⋊C4×D61—21no—
180C22⋊C4×D61—21no—
181C22⋊C4×D61—21no—
182C2×C4×Dic61—21no—
183C2×C4×Dic61—21no—
184C2×C4×Dic61C2×C411yescharacteristic, complemented
185#14519691—22no—
186#14519691—22no—
187#14519691—22no—
188#14519691—22no—
189#14519691—22no—
190#14519691—22no—
191#14519691—22no—
192#14519691—41no—
193#14519691—41no—
194#14519691—41no—
195#14519691—41no—
196#14519691D414yescomplemented
197#14519684—21no—
198#14519684—21no—
199#14519684—21no—
200#14519684—21no—
201C25×C61C2311yescharacteristic
202C23×C4×C61—21no—
203C23×C4×C61C2311yescharacteristic
204C23×C4×C61C2311yescharacteristic
205#117×C61—22no—
206#117×C61—41no—
207C2×C4⋊C4×C61—21no—
208C2×C4⋊C4×C61—21no—
209C2×C22⋊C4×C61—22no—
210C2×C22⋊C4×C61—21no—
211C2×C22⋊C4×C61—21no—
212C2×C22⋊C4×C61—21no—
213C2×C22⋊C4×C61—41no—
214C2×C22⋊C4×C61C2×C411yescharacteristic
215C2×C22⋊C4×C61C2×C411yescharacteristic
216C2×C22⋊C4×C61C2×C411yescharacteristic
217C2×C22⋊C4×C61C2×C411yescharacteristic
218C2×C22⋊C4×C61D411yescharacteristic
219C2×C22⋊C4×C61D411yescharacteristic
220C2×C22⋊C4×C61D411yescharacteristic
221C2×C22⋊C4×C61D411yescharacteristic
222C2×C22⋊C4×C61D411yescharacteristic
223C2×C22⋊C4×C61D411yescharacteristic
224C2×C22⋊C4×C61D411yescharacteristic
225C2×C22⋊C4×C61D411yescharacteristic
226C2×C22⋊C4×C61C2311yescharacteristic
227C2×C22⋊C4×C61C2311yescharacteristic
228C2×C22⋊C4×C61C2311yescharacteristic
229C2×C22⋊C4×C61C2311yescharacteristic
230C2×C42×C61—21no—
231C2×C42×C61—21no—
232#95×C61—21no—
233#95×C61—21no—
234#95×C61—21no—
235#95×C61—21no—
236C24×C61—21no—
237C24×C61—21no—
238C24×C61—21no—
239C24×C61—21no—
240C24×C61—42no—
241C24×C61—81no—
242C24×C61C22×C411yescharacteristic
243C24×C61C22×C411yescharacteristic
244C24×C61C2×D411yescharacteristic
245C24×C61C2×D411yescharacteristic
246C24×C61C2×D411yescharacteristic
247C24×C61C2×D411yescharacteristic
248C24×C61C2411yescharacteristic
249C23×D61—21no—
250C23×D61—21no—
251C23×D61—22no—
252C23×D61—41no—
253C23×D61—42no—
254C23×D61—81no—
255C23×D61C22×C411yescharacteristic
256C23×D61C22×C411yescharacteristic
257C23×D61C22×C411yescharacteristic
258C22×C4×C61—21no—
259C22×C4×C61—21no—
260C22×C4×C61—21no—
261C22×C4×C61—21no—
262C22×C4×C61—21no—
263C22×C4×C61—21no—
264C22×C4×C61—21no—
265C22×C4×C61—21no—
266C22×C4×C61—42no—
267C22×C4×C61—42no—
268C22×C4×C61—81no—
269C22×C4×C61—81no—
270C22×C4×C61C22×C411yescharacteristic
271C22×C4×C61C22×C411yescharacteristic
272C22×C4×C61C22×C411yescharacteristic
273C22×C4×C61C22×C411yescharacteristic
274C22×C4×C61C2×D411yescharacteristic
275C22×C4×C61C2×D411yescharacteristic
276C22×C4×C61C2×D411yescharacteristic
277C22×C4×C61C2×D411yescharacteristic
278C22×C4×C61C2×D411yescharacteristic
279C22×C4×C61C2×D411yescharacteristic
280C22×C4×C61C2×D411yescharacteristic
281C22×C4×C61C2×D411yescharacteristic
282C2×C22⋊D61—21no—
283C2×C22⋊D61—21no—
284C2×C22⋊D61—21no—
285C2×C22⋊D61—21no—
286C2×C22⋊D61—21no—
287C2×C22⋊D61—21no—
288C2×C22⋊D61—21no—
289C2×C22⋊D61—21no—
290C2×C22⋊D61—21no—
291C2×C22⋊D61—21no—
292C2×C22⋊D61—21no—
293C2×C22⋊D61—21no—
294C2×C22⋊D61—21no—
295C2×C22⋊D61—21no—
296C2×C22⋊D61—21no—
297C2×C22⋊D61—21no—
298C2×C22⋊D61—21no—
299C2×C22⋊D61—21no—
300C2×C22⋊D61—21no—
301C2×C22⋊D61—21no—
302C2×C22⋊D61—21no—
303C2×C22⋊D61—21no—
304C2×C22⋊D61—22no—
305C2×C22⋊D61—21no—
306C2×C22⋊D61—21no—
307C2×C22⋊D61—22no—
308C2×C22⋊D61—41no—
309C2×C22⋊D61—41no—
310C2×C22⋊D61—42no—
311C2×C22⋊D61—42no—
312C2×C22⋊D61—42no—
313C2×C22⋊D61—42no—
314C2×C22⋊D61—42no—
315C2×C22⋊D61—42no—
316C2×C22⋊D61—42no—
317C2×C22⋊D61—42no—
318C2×C22⋊D61—42no—
319C2×C22⋊D61—81no—
320C2×C22⋊D61C2×D412yes—
321C2×C22⋊D61#4112yes—
322C22×Dic61—21no—
323C22×Dic61—21no—
324C22×Dic61—21no—
325C22×Dic61—22no—
326C22×Dic61—21no—
327C22×Dic61—21no—
328C22×Dic61—21no—
329C22×Dic61—41no—
330C22×Dic61—42no—
331C22×Dic61—42no—
332C22×Dic61—81no—
333C22×Dic61C22×C411yescharacteristic
334C22×Dic61C22×C411yescharacteristic
335C22×Dic61C22×C411yescharacteristic
336C22×Dic61C22×C411yescharacteristic
337C22×Dic61C22×C411yescharacteristic
338#11758222—42no—
339#11758222—42no—
340#11758222—42no—
341#11758222—42no—
342#11758222—42no—
343#11758222—42no—
344#11758222—42no—
345#11758222—42no—
346C2×D244—22no—
347C2×D244—21no—
348C2×D244—21no—
349C2×D244—21no—
350C2×D244—21no—
351C2×D244—41no—
352C2×D244—81no—
353C2×C4×D61—22no—
354C2×C4×D61—21no—
355C2×C4×D61—21no—
356C2×C4×D61—21no—
357C2×C4×D61—21no—
358C2×C4×D61—22no—
359C2×C4×D61—21no—
360C2×C4×D61—21no—
361C2×C4×D61—41no—
362C2×C4×D61—41no—
363C2×C4×D61—81no—
364C2×Dic122—21no—
365C2×Dic122—21no—
366C2×Dic122—22no—
367C2×Dic122—41no—
368C4⋊C4×C61—42no—
369C4⋊C4×C61—81no—
370C22⋊C4×C61—21no—
371C22⋊C4×C61—21no—
372C22⋊C4×C61—21no—
373C22⋊C4×C61—21no—
374C22⋊C4×C61—21no—
375C22⋊C4×C61—21no—
376C22⋊C4×C61—21no—
377C22⋊C4×C61—42no—
378C22⋊C4×C61—42no—
379C22⋊C4×C61—81no—
380C22⋊C4×C61C22⋊C411yescharacteristic
381C22⋊C4×C61C22⋊C411yescharacteristic
382C22⋊C4×C61C22⋊C411yescharacteristic
383C22⋊C4×C61C22⋊C411yescharacteristic
384C22⋊C4×C61C22⋊C411yescharacteristic
385C22⋊C4×C61C22⋊C411yescharacteristic
386C22⋊C4×C61C22⋊C411yescharacteristic
387C22⋊C4×C61C22⋊C411yescharacteristic
388C22⋊C4×C61C22⋊C411yescharacteristic
389C22⋊C4×C61C22⋊C411yescharacteristic
390C22⋊C4×C61C22⋊C411yescharacteristic
391C22⋊C4×C61C22⋊C411yescharacteristic
392C22⋊C4×C61C22⋊C411yescharacteristic
393C22⋊C4×C61C22⋊C411yescharacteristic
394C22⋊C4×C61C22⋊C411yescharacteristic
395C22⋊C4×C61C22⋊C411yescharacteristic
396C22⋊C4×C61C2×D412yes—
397C42×C61—42no—
398C42×C61—81no—
399C22⋊Dic61—21no—
400C22⋊Dic61—21no—
401C22⋊Dic61—21no—
402C22⋊Dic61—21no—
403C22⋊Dic61—21no—
404C22⋊Dic61—21no—
405C22⋊Dic61—21no—
406C22⋊Dic61—21no—
407C22⋊Dic61—21no—
408C22⋊Dic61—21no—
409C22⋊Dic61—21no—
410C22⋊Dic61—21no—
411C22⋊Dic61—21no—
412C22⋊Dic61—42no—
413C22⋊Dic61—42no—
414C22⋊Dic61—81no—
415C22⋊Dic61C2×D412yes—
416#11758198—21no—
417#11758198—21no—
418#11758198—21no—
419#11758198—21no—
420#11758198—21no—
421#11758198—21no—
422#11758198—21no—
423#11758198—21no—
424#11758198—21no—
425#11758198—21no—
426C4⋊Dic61—21no—
427C4⋊Dic61—21no—
428C4⋊Dic61—42no—
429C4⋊Dic61—81no—
430#11758196—21no—
431#11758196—21no—
432#11758196—21no—
433#11758196—21no—
434#11758196—21no—
435#11758196—21no—
436C4×Dic61—21no—
437C4×Dic61—21no—
438C4×Dic61—42no—
439C4×Dic61—81no—
440C23×C61—21no—
441C23×C61—21no—
442C23×C61—21no—
443C23×C61—21no—
444C23×C61—21no—
445C23×C61—21no—
446C23×C61—22no—
447C23×C61—22no—
448C23×C61—22no—
449C23×C61—21no—
450C23×C61—21no—
451C23×C61—21no—
452C23×C61—21no—
453C23×C61—21no—
454C23×C61—21no—
455C23×C61—41no—
456C23×C61—41no—
457C23×C61—41no—
458C23×C61—41no—
459C23×C61—41no—
460C23×C61—41no—
461C23×C61—41no—
462C23×C61—41no—
463C23×C61—41no—
464C23×C61—41no—
465C23×C61—41no—
466C23×C61—82no—
467C23×C61—82no—
468C23×C61—82no—
469C23×C61—82no—
470C23×C61C2×C22⋊C411yescharacteristic
471C23×C61C2×C22⋊C411yescharacteristic
472C23×C61C2×C22⋊C411yescharacteristic
473C23×C61C2×C22⋊C411yescharacteristic
474C23×C61C23×C411yescharacteristic
475C23×C61C22×D411yescharacteristic
476C23×C61C22×D411yescharacteristic
477C23×C61C22×D411yescharacteristic
478C23×C61C2×#4111yescharacteristic
479C23×C61H(5,𝔽2)11yescharacteristic
480C23×C61H(5,𝔽2)11yescharacteristic
481C22×D61—21no—
482C22×D61—21no—
483C22×D61—21no—
484C22×D61—21no—
485C22×D61—21no—
486C22×D61—21no—
487C22×D61—21no—
488C22×D61—21no—
489C22×D61—42no—
490C22×D61—42no—
491C22×D61—41no—
492C22×D61—41no—
493C22×D61—42no—
494C22×D61—42no—
495C22×D61—41no—
496C22×D61—41no—
497C22×D61—41no—
498C22×D61—41no—
499C22×D61—81no—
500C22×D61—81no—
501C22×D61—84no—
502C22×D61—84no—
503C22×D61C4×D412yes—
504C2×C4×C61—21no—
505C2×C4×C61—21no—
506C2×C4×C61—21no—
507C2×C4×C61—21no—
508C2×C4×C61—21no—
509C2×C4×C61—21no—
510C2×C4×C61—21no—
511C2×C4×C61—21no—
512C2×C4×C61—21no—
513C2×C4×C61—21no—
514C2×C4×C61—21no—
515C2×C4×C61—21no—
516C2×C4×C61—22no—
517C2×C4×C61—41no—
518C2×C4×C61—41no—
519C2×C4×C61—41no—
520C2×C4×C61—41no—
521C2×C4×C61—41no—
522C2×C4×C61—41no—
523C2×C4×C61—41no—
524C2×C4×C61—41no—
525C2×C4×C61—41no—
526C2×C4×C61—41no—
527C2×C4×C61—41no—
528C2×C4×C61—41no—
529C2×C4×C61—41no—
530C2×C4×C61—41no—
531C2×C4×C61—41no—
532C2×C4×C61—41no—
533C2×C4×C61—41no—
534C2×C4×C61—84no—
535C2×C4×C61C2×C22⋊C411yescharacteristic
536C2×C4×C61C2×C22⋊C411yescharacteristic
537C2×C4×C61C2×C22⋊C411yescharacteristic
538C2×C4×C61C2×C22⋊C411yescharacteristic
539C2×C4×C61C2×C22⋊C411yescharacteristic
540C2×C4×C61C2×C22⋊C411yescharacteristic
541C2×C4×C61C2×C22⋊C411yescharacteristic
542C2×C4×C61C2×C22⋊C411yescharacteristic
543C22⋊D61—22no—
544C22⋊D61—22no—
545C22⋊D61—22no—
546C22⋊D61—22no—
547C22⋊D61—42no—
548C22⋊D61—42no—
549C22⋊D61—42no—
550C22⋊D61—42no—
551C22⋊D61—42no—
552C22⋊D61—41no—
553C22⋊D61—41no—
554C22⋊D61—41no—
555C22⋊D61—41no—
556C22⋊D61—41no—
557C22⋊D61—41no—
558C22⋊D61—41no—
559C22⋊D61—41no—
560C22⋊D61—42no—
561C22⋊D61—81no—
562C22⋊D61—81no—
563C2×Dic61—21no—
564C2×Dic61—21no—
565C2×Dic61—21no—
566C2×Dic61—21no—
567C2×Dic61—21no—
568C2×Dic61—21no—
569C2×Dic61—21no—
570C2×Dic61—21no—
571C2×Dic61—21no—
572C2×Dic61—21no—
573C2×Dic61—22no—
574C2×Dic61—42no—
575C2×Dic61—42no—
576C2×Dic61—41no—
577C2×Dic61—41no—
578C2×Dic61—41no—
579C2×Dic61—41no—
580C2×Dic61—41no—
581C2×Dic61—41no—
582C2×Dic61—41no—
583C2×Dic61—41no—
584C2×Dic61—41no—
585C2×Dic61—41no—
586C2×Dic61—41no—
587C2×Dic61—41no—
588C2×Dic61—41no—
589C2×Dic61—84no—
590C2×Dic61C4×D412yes—
591D244—42no—
592D244—42no—
593D244—81no—
594D244—81no—
595C4×D61—42no—
596C4×D61—42no—
597C4×D61—42no—
598C4×D61—42no—
599C4×D61—81no—
600C4×D61—81no—
601Dic122—42no—
602Dic122—42no—
603#22405—611nomaximal, Sylow
604C22×C61—21no—
605C22×C61—21no—
606C22×C61—21no—
607C22×C61—21no—
608C22×C61—21no—
609C22×C61—21no—
610C22×C61—21no—
611C22×C61—21no—
612C22×C61—21no—
613C22×C61—21no—
614C22×C61—21no—
615C22×C61—21no—
616C22×C61—21no—
617C22×C61—21no—
618C22×C61—21no—
619C22×C61—21no—
620C22×C61—21no—
621C22×C61—41no—
622C22×C61—41no—
623C22×C61—41no—
624C22×C61—41no—
625C22×C61—42no—
626C22×C61—42no—
627C22×C61—42no—
628C22×C61—42no—
629C22×C61—42no—
630C22×C61—42no—
631C22×C61—81no—
632C22×C61—81no—
633C22×C61—81no—
634C22×C61—81no—
635C22×C61—81no—
636C22×C61—81no—
637C22×C61#41012yescomplemented
638C22×C61C22×C22⋊C411yescharacteristic
639C22×C61C2×C4×D411yescharacteristic
640C22×C61#51811yescharacteristic
641C22×C61D4211yescharacteristic
642C22×C61D4211yescharacteristic
643C22×C61#54611yescharacteristic
644C22×C61#54611yescharacteristic
645C2×D61—22no—
646C2×D61—42no—
647C2×D61—41no—
648C2×D61—41no—
649C2×D61—42no—
650C2×D61—41no—
651C2×D61—41no—
652C2×D61—41no—
653C2×D61—41no—
654C2×D61—41no—
655C2×D61—41no—
656C2×D61—84no—
657C2×D61—84no—
658C2×D61—81no—
659C2×D61—81no—
660C2×D61—81no—
661C2×D61—81no—
662C4×C61—21no—
663C4×C61—21no—
664C4×C61—21no—
665C4×C61—21no—
666C4×C61—21no—
667C4×C61—21no—
668C4×C61—21no—
669C4×C61—21no—
670C4×C61—42no—
671C4×C61—81no—
672C4×C61—81no—
673C4×C61—81no—
674Dic61—22no—
675Dic61—42no—
676Dic61—41no—
677Dic61—41no—
678Dic61—41no—
679Dic61—41no—
680Dic61—81no—
681Dic61—81no—
682Dic61—81no—
683C2×#546—611no—
684C2×#410—611no—
685C22×#99—611no—
686#2342—611no—
687#2342D6111yescharacteristic, complemented
688#1964—611no—
689#1964—611no—
690#1899—611no—
691#1899—611no—
692#1898—611no—
693#1898—611no—
694#1799—611no—
695#1782—611no—
696#1781—611no—
697C4×#99—611no—
698C2×C61—21no—
699C2×C61—21no—
700C2×C61—21no—
701C2×C61—21no—
702C2×C61—21no—
703C2×C61—21no—
704C2×C61—22no—
705C2×C61—41no—
706C2×C61—41no—
707C2×C61—41no—
708C2×C61D4×C22⋊C411yescharacteristic
709C2×C61C2×#41011yescharacteristic
710C2×C61#288311yescharacteristic
711D61—42no—
712D61—81no—
713D61—81no—
714C22×#41—611no—
715C23×D4—611no—
716#546—1221no—
717#546—1221no—
718#546—1221no—
719#546—1221no—
720#546—1221no—
721#546—1221no—
722#546—1221no—
723#546—1221no—
724C2×#124—611no—
725C2×#123—611no—
726C2×#123—611no—
727C2×C22⋊Q8—611no—
728C2×#121—611no—
729C2×#121—611no—
730C2×#121—611no—
731C2×#120—611no—
732C2×#120—611no—
733C2×C4×D4—611no—
734C2×C4×D4—611no—
735C2×#117—611no—
736C2×#117C2×D6111yescharacteristic, complemented
737C22×C22⋊C4—611no—
738C22×C22⋊C4—611no—
739C22×C22⋊C4C2×D6111yescharacteristic
740C22×C22⋊C4C2×D6111yescharacteristic
741#410—1224no—
742C2×#99—611no—
743C2×#99—611no—
744C2×#99—611no—
745C2×#99—611no—
746C2×#99—611no—
747C2×#99—611no—
748C2×#99—611no—
749C2×#99—611no—
750C2×#99—611no—
751C2×#99—611no—
752C2×#99—611no—
753C2×#99—611no—
754C2×#99—1224no—
755#388—21no—
756#388—21no—
757#388—1221no—
758#388—1221no—
759#385—21no—
760#385—1221no—
761#381—611no—
762#381C2×D6111yescharacteristic, complemented
763#380—611no—
764#380C2×D6111yescharacteristic, complemented
765#379—611no—
766#379C2×D6111yescharacteristic
767C4×C22⋊C4—21no—
768C4×C22⋊C4—611no—
769C4×C22⋊C4—1221no—
770C4×C22⋊C4C2×D6111yescharacteristic, complemented
771#342—611no—
772#342—611no—
773#342—611no—
774#342—611no—
775C61#2240511yescharacteristic, complemented, Sylow
776C25—611no—
777C25C22×D6111yescharacteristic
778C2×#41—1222no—
779C2×#41—1222no—
780C2×#41—1221no—
781C2×#41—1221no—
782C2×#41—1221no—
783C2×#41—1221no—
784C2×#41—2441no—
785C2×#41—2441no—
786C22×Q8—611no—
787C22×D4—611no—
788C22×D4—611no—
789C22×D4—611no—
790C22×D4—611no—
791C22×D4—611no—
792C22×D4—611no—
793C22×D4—611no—
794C22×D4—611no—
795C22×D4—611no—
796C22×D4—1222no—
797C22×D4—1222no—
798C22×D4—1221no—
799C22×D4—1221no—
800C22×D4—1221no—
801C22×D4—1221no—
802C22×D4—2441no—
803C22×D4—2441no—
804C23×C4—21no—
805C23×C4—611no—
806C23×C4—611no—
807C23×C4—611no—
808C23×C4—611no—
809C23×C4—1221no—
810C23×C4C22×D6111yescharacteristic
811C23×C4C22×D6111yescharacteristic
812#124—1221no—
813#124—1221no—
814#124—1221no—
815#124—1221no—
816#123—1221no—
817#123—1221no—
818#123—1221no—
819#123—1221no—
820#123—1221no—
821#123—1221no—
822#123—1221no—
823#123—1221no—
824C22⋊Q8—1221no—
825C22⋊Q8—1221no—
826C22⋊Q8—1221no—
827C22⋊Q8—1221no—
828#121—1221no—
829#121—1221no—
830#121—1221no—
831#121—1221no—
832#121—1221no—
833#121—1221no—
834#121—1221no—
835#121—1221no—
836#121—1221no—
837#121—1221no—
838#121—1221no—
839#121—1221no—
840#120—1221no—
841#120—1221no—
842#120—1221no—
843#120—1221no—
844#120—1221no—
845#120—1221no—
846#120—1221no—
847#120—1221no—
848C4×D4—1221no—
849C4×D4—1221no—
850C4×D4—1221no—
851C4×D4—1221no—
852C4×D4—1221no—
853C4×D4—1221no—
854C4×D4—1221no—
855C4×D4—1221no—
856#117—22no—
857#117—41no—
858#117—1222no—
859#117—2441no—
860C2×C4⋊C4—21no—
861C2×C4⋊C4—21no—
862C2×C4⋊C4—611no—
863C2×C4⋊C4—611no—
864C2×C4⋊C4—611no—
865C2×C4⋊C4—611no—
866C2×C4⋊C4—1221no—
867C2×C4⋊C4—1221no—
868C2×C22⋊C4—22no—
869C2×C22⋊C4—21no—
870C2×C22⋊C4—21no—
871C2×C22⋊C4—21no—
872C2×C22⋊C4—41no—
873C2×C22⋊C4—611no—
874C2×C22⋊C4—611no—
875C2×C22⋊C4—611no—
876C2×C22⋊C4—611no—
877C2×C22⋊C4—611no—
878C2×C22⋊C4—611no—
879C2×C22⋊C4—611no—
880C2×C22⋊C4—611no—
881C2×C22⋊C4—611no—
882C2×C22⋊C4—611no—
883C2×C22⋊C4—611no—
884C2×C22⋊C4—611no—
885C2×C22⋊C4—1222no—
886C2×C22⋊C4—1221no—
887C2×C22⋊C4—1221no—
888C2×C22⋊C4—1221no—
889C2×C22⋊C4—1221no—
890C2×C22⋊C4—1221no—
891C2×C22⋊C4—1221no—
892C2×C22⋊C4—1221no—
893C2×C22⋊C4—2441no—
894C2×C22⋊C4C4×D6111yescharacteristic
895C2×C22⋊C4C4×D6111yescharacteristic
896C2×C22⋊C4C4×D6111yescharacteristic
897C2×C22⋊C4C4×D6111yescharacteristic
898C2×C22⋊C4D24411yescharacteristic
899C2×C22⋊C4D24411yescharacteristic
900C2×C22⋊C4D24411yescharacteristic
901C2×C22⋊C4D24411yescharacteristic
902C2×C22⋊C4C22⋊D6111yescharacteristic
903C2×C22⋊C4C22⋊D6111yescharacteristic
904C2×C22⋊C4C22⋊D6111yescharacteristic
905C2×C22⋊C4C22⋊D6111yescharacteristic
906C2×C22⋊C4C22×D6111yescharacteristic
907C2×C22⋊C4C22×D6111yescharacteristic
908C2×C22⋊C4C22×D6111yescharacteristic
909C2×C22⋊C4C22×D6111yescharacteristic
910C2×C42—21no—
911C2×C42—21no—
912C2×C42—611no—
913C2×C42—1221no—
914C2×C42—1221no—
915#99—614no—
916#99—1222no—
917#99—1222no—
918#99—1222no—
919#99—1222no—
920#99—1222no—
921#99—1222no—
922#99—1222no—
923#99—2441no—
924#99—2441no—
925#99—2441no—
926#99—2441no—
927#95—21no—
928#95—21no—
929#95—21no—
930#95—21no—
931#95—1221no—
932#95—1221no—
933#95—1221no—
934#95—1221no—
935C24—21no—
936C24—21no—
937C24—21no—
938C24—21no—
939C24—42no—
940C24—81no—
941C24—611no—
942C24—611no—
943C24—611no—
944C24—1222no—
945C24—1221no—
946C24—1221no—
947C24—4881no—
948C24—2441no—
949C24—2442no—
950C24C2×C4×D6111yescharacteristic
951C24C2×C4×D6111yescharacteristic
952C24C2×D24411yescharacteristic
953C24C2×D24411yescharacteristic
954C24C2×C22⋊D6111yescharacteristic
955C24C2×C22⋊D6111yescharacteristic
956C24C23×D6111yescharacteristic
957#41—2442no—
958#41—2442no—
959#41—2442no—
960#41—2442no—
961#41—2442no—
962#41—2442no—
963#41—2442no—
964#41—2442no—
965C2×Q8—1222no—
966C2×Q8—1221no—
967C2×Q8—1221no—
968C2×Q8—2441no—
969C2×D4—612no—
970C2×D4—612no—
971C2×D4—1222no—
972C2×D4—1222no—
973C2×D4—1221no—
974C2×D4—1221no—
975C2×D4—1221no—
976C2×D4—1221no—
977C2×D4—1221no—
978C2×D4—1221no—
979C2×D4—1222no—
980C2×D4—1221no—
981C2×D4—1221no—
982C2×D4—1221no—
983C2×D4—1221no—
984C2×D4—1221no—
985C2×D4—1221no—
986C2×D4—1221no—
987C2×D4—1221no—
988C2×D4—1221no—
989C2×D4—1221no—
990C2×D4—1221no—
991C2×D4—1221no—
992C2×D4—1221no—
993C2×D4—1221no—
994C2×D4—1221no—
995C2×D4—1221no—
996C2×D4—1221no—
997C2×D4—1221no—
998C2×D4—1221no—
999C2×D4—1221no—
1000C2×D4—1221no—
1001C2×D4—1221no—
1002C2×D4—4881no—
1003C2×D4—4881no—
1004C2×D4—2441no—
1005C2×D4—2441no—
1006C2×D4—2441no—
1007C2×D4—2442no—
1008C2×D4—2442no—
1009C2×D4—2442no—
1010C2×D4—2442no—
1011C2×D4—2442no—
1012C2×D4—2442no—
1013C2×D4—2442no—
1014C2×D4—2442no—
1015C2×D4—2442no—
1016C22×C4—21no—
1017C22×C4—21no—
1018C22×C4—21no—
1019C22×C4—21no—
1020C22×C4—21no—
1021C22×C4—21no—
1022C22×C4—21no—
1023C22×C4—21no—
1024C22×C4—42no—
1025C22×C4—42no—
1026C22×C4—81no—
1027C22×C4—81no—
1028C22×C4—611no—
1029C22×C4—611no—
1030C22×C4—611no—
1031C22×C4—611no—
1032C22×C4—611no—
1033C22×C4—1222no—
1034C22×C4—1222no—
1035C22×C4—1222no—
1036C22×C4—1221no—
1037C22×C4—1221no—
1038C22×C4—1221no—
1039C22×C4—1221no—
1040C22×C4—1221no—
1041C22×C4—1221no—
1042C22×C4—1221no—
1043C22×C4—1221no—
1044C22×C4—1221no—
1045C22×C4—1221no—
1046C22×C4—1221no—
1047C22×C4—1221no—
1048C22×C4—4881no—
1049C22×C4—4881no—
1050C22×C4—2441no—
1051C22×C4—2441no—
1052C22×C4—2441no—
1053C22×C4—2442no—
1054C22×C4—2442no—
1055C22×C4C2×C4×D6111yescharacteristic
1056C22×C4C2×C4×D6111yescharacteristic
1057C22×C4C2×C4×D6111yescharacteristic
1058C22×C4C2×C4×D6111yescharacteristic
1059C22×C4C2×D24411yescharacteristic
1060C22×C4C2×D24411yescharacteristic
1061C22×C4C2×D24411yescharacteristic
1062C22×C4C2×D24411yescharacteristic
1063C22×C4C2×C22⋊D6111yescharacteristic
1064C22×C4C2×C22⋊D6111yescharacteristic
1065C22×C4C2×C22⋊D6111yescharacteristic
1066C22×C4C2×C22⋊D6111yescharacteristic
1067C4⋊C4—42no—
1068C4⋊C4—81no—
1069C4⋊C4—1221no—
1070C4⋊C4—1221no—
1071C4⋊C4—1221no—
1072C4⋊C4—1221no—
1073C4⋊C4—1221no—
1074C4⋊C4—1221no—
1075C4⋊C4—1221no—
1076C4⋊C4—1221no—
1077C4⋊C4—4881no—
1078C4⋊C4—2442no—
1079C22⋊C4—21no—
1080C22⋊C4—21no—
1081C22⋊C4—21no—
1082C22⋊C4—21no—
1083C22⋊C4—21no—
1084C22⋊C4—21no—
1085C22⋊C4—21no—
1086C22⋊C4—42no—
1087C22⋊C4—42no—
1088C22⋊C4—81no—
1089C22⋊C4—612no—
1090C22⋊C4—1221no—
1091C22⋊C4—1221no—
1092C22⋊C4—1221no—
1093C22⋊C4—1221no—
1094C22⋊C4—1221no—
1095C22⋊C4—1221no—
1096C22⋊C4—1221no—
1097C22⋊C4—1221no—
1098C22⋊C4—1221no—
1099C22⋊C4—1221no—
1100C22⋊C4—1221no—
1101C22⋊C4—1221no—
1102C22⋊C4—1221no—
1103C22⋊C4—1221no—
1104C22⋊C4—1221no—
1105C22⋊C4—1221no—
1106C22⋊C4—1221no—
1107C22⋊C4—1221no—
1108C22⋊C4—1221no—
1109C22⋊C4—1221no—
1110C22⋊C4—1221no—
1111C22⋊C4—1221no—
1112C22⋊C4—1221no—
1113C22⋊C4—4881no—
1114C22⋊C4—2442no—
1115C22⋊C4—2442no—
1116C22⋊C4#1175819811yescharacteristic
1117C22⋊C4#1175819811yescharacteristic
1118C22⋊C4#1175819811yescharacteristic
1119C22⋊C4#1175819811yescharacteristic
1120C22⋊C4#1175819811yescharacteristic
1121C22⋊C4#1175819811yescharacteristic
1122C22⋊C4#1175819811yescharacteristic
1123C22⋊C4#1175819811yescharacteristic
1124C22⋊C4#1175819811yescharacteristic
1125C22⋊C4#1175819811yescharacteristic
1126C22⋊C4#1175819811yescharacteristic
1127C22⋊C4#1175819811yescharacteristic
1128C22⋊C4#1175819811yescharacteristic
1129C22⋊C4#1175819811yescharacteristic
1130C22⋊C4#1175819811yescharacteristic
1131C22⋊C4#1175819811yescharacteristic
1132C22⋊C4D4×D6112yes—
1133C42—42no—
1134C42—81no—
1135C42—1221no—
1136C42—1221no—
1137C42—4881no—
1138C42—2442no—
1139C23—21no—
1140C23—21no—
1141C23—22no—
1142C23—22no—
1143C23—22no—
1144C23—21no—
1145C23—21no—
1146C23—21no—
1147C23—21no—
1148C23—21no—
1149C23—21no—
1150C23—21no—
1151C23—21no—
1152C23—21no—
1153C23—21no—
1154C23—41no—
1155C23—41no—
1156C23—41no—
1157C23—41no—
1158C23—41no—
1159C23—41no—
1160C23—41no—
1161C23—41no—
1162C23—41no—
1163C23—41no—
1164C23—41no—
1165C23—82no—
1166C23—82no—
1167C23—82no—
1168C23—82no—
1169C23—612no—
1170C23—1221no—
1171C23—1221no—
1172C23—1221no—
1173C23—1221no—
1174C23—1221no—
1175C23—1221no—
1176C23—1221no—
1177C23—1221no—
1178C23—4881no—
1179C23—4881no—
1180C23—4884no—
1181C23—4884no—
1182C23—2442no—
1183C23—2442no—
1184C23—2441no—
1185C23—2441no—
1186C23—2441no—
1187C23—2441no—
1188C23—2442no—
1189C23—2441no—
1190C23—2441no—
1191C23—2442no—
1192C23C2×#1175819811yescharacteristic
1193C23C2×#1175819811yescharacteristic
1194C23C2×#1175819811yescharacteristic
1195C23C2×#1175819811yescharacteristic
1196C23C22×C4×D6111yescharacteristic
1197C23C2×D4×D6111yescharacteristic
1198C23C22×C22⋊D6111yescharacteristic
1199C23C22×D24411yescharacteristic
1200C23#41×D6111yescharacteristic
1201C23#1451982211yescharacteristic
1202C23#1451982311yescharacteristic
1203Q8—2442no—
1204Q8—2442no—
1205D4—1222no—
1206D4—1222no—
1207D4—1222no—
1208D4—1222no—
1209D4—4881no—
1210D4—4881no—
1211D4—4881no—
1212D4—4881no—
1213D4—2442no—
1214D4—2442no—
1215D4—2442no—
1216D4—2442no—
1217D4—2442no—
1218D4—2442no—
1219D4—2442no—
1220D4—2442no—
1221D4—2441no—
1222D4—2441no—
1223D4—2441no—
1224D4—2441no—
1225D4—2441no—
1226D4—2441no—
1227D4—2441no—
1228D4—2441no—
1229C2×C4—21no—
1230C2×C4—21no—
1231C2×C4—21no—
1232C2×C4—21no—
1233C2×C4—21no—
1234C2×C4—21no—
1235C2×C4—21no—
1236C2×C4—21no—
1237C2×C4—21no—
1238C2×C4—21no—
1239C2×C4—21no—
1240C2×C4—21no—
1241C2×C4—22no—
1242C2×C4—41no—
1243C2×C4—41no—
1244C2×C4—41no—
1245C2×C4—41no—
1246C2×C4—41no—
1247C2×C4—41no—
1248C2×C4—41no—
1249C2×C4—41no—
1250C2×C4—41no—
1251C2×C4—41no—
1252C2×C4—41no—
1253C2×C4—41no—
1254C2×C4—41no—
1255C2×C4—41no—
1256C2×C4—41no—
1257C2×C4—41no—
1258C2×C4—41no—
1259C2×C4—84no—
1260C2×C4—612no—
1261C2×C4—1221no—
1262C2×C4—1221no—
1263C2×C4—1221no—
1264C2×C4—1221no—
1265C2×C4—1221no—
1266C2×C4—1221no—
1267C2×C4—1221no—
1268C2×C4—1221no—
1269C2×C4—1221no—
1270C2×C4—1221no—
1271C2×C4—1222no—
1272C2×C4—4881no—
1273C2×C4—4881no—
1274C2×C4—4884no—
1275C2×C4—2442no—
1276C2×C4—2442no—
1277C2×C4—2442no—
1278C2×C4—2442no—
1279C2×C4—2442no—
1280C2×C4—2442no—
1281C2×C4—2441no—
1282C2×C4—2441no—
1283C2×C4—2441no—
1284C2×C4—2441no—
1285C2×C4—2441no—
1286C2×C4—2441no—
1287C2×C4—2441no—
1288C2×C4—2441no—
1289C2×C4—2441no—
1290C2×C4—2441no—
1291C2×C4—2441no—
1292C2×C4—2441no—
1293C2×C4—2441no—
1294C2×C4C2×#1175819811yescharacteristic
1295C2×C4C2×#1175819811yescharacteristic
1296C2×C4C2×#1175819811yescharacteristic
1297C2×C4C2×#1175819811yescharacteristic
1298C2×C4C2×#1175819811yescharacteristic
1299C2×C4C2×#1175819811yescharacteristic
1300C2×C4C2×#1175819811yescharacteristic
1301C2×C4C2×#1175819811yescharacteristic
1302C22—21no—
1303C22—21no—
1304C22—21no—
1305C22—21no—
1306C22—21no—
1307C22—21no—
1308C22—21no—
1309C22—21no—
1310C22—21no—
1311C22—21no—
1312C22—21no—
1313C22—21no—
1314C22—21no—
1315C22—21no—
1316C22—21no—
1317C22—21no—
1318C22—21no—
1319C22—41no—
1320C22—41no—
1321C22—41no—
1322C22—41no—
1323C22—42no—
1324C22—42no—
1325C22—42no—
1326C22—42no—
1327C22—42no—
1328C22—42no—
1329C22—81no—
1330C22—81no—
1331C22—81no—
1332C22—81no—
1333C22—81no—
1334C22—81no—
1335C22—1222no—
1336C22—4881no—
1337C22—4881no—
1338C22—4881no—
1339C22—4881no—
1340C22—4884no—
1341C22—4884no—
1342C22—2442no—
1343C22—2442no—
1344C22—2441no—
1345C22—2441no—
1346C22—2441no—
1347C22—2441no—
1348C22—2441no—
1349C22—2441no—
1350C22—2441no—
1351C22—2441no—
1352C22#1683973512yescomplemented
1353C22C22×#1175819811yescharacteristic
1354C22C4×D4×D6111yescharacteristic
1355C22#1684023411yescharacteristic
1356C22D4×C22⋊D6111yescharacteristic
1357C22D4×D24411yescharacteristic
1358C22#1684040011yescharacteristic
1359C22#1684040711yescharacteristic
1360C4—21no—
1361C4—21no—
1362C4—21no—
1363C4—21no—
1364C4—21no—
1365C4—21no—
1366C4—21no—
1367C4—21no—
1368C4—42no—
1369C4—81no—
1370C4—81no—
1371C4—81no—
1372C4—1222no—
1373C4—4881no—
1374C4—4881no—
1375C4—4881no—
1376C4—2442no—
1377C4—2441no—
1378C4—2441no—
1379C4—2441no—
1380C4—2441no—
1381C2—21no—
1382C2—21no—
1383C2—21no—
1384C2—21no—
1385C2—22no—
1386C2—21no—
1387C2—21no—
1388C2—41no—
1389C2—41no—
1390C2—41no—
1391C2—4881no—
1392C2—4881no—
1393C2—2442no—
1394C2D4×#1175819811yescharacteristic
1395C2C2×#1683973511yescharacteristic
1396C2#2145427911yescharacteristic
subgroupG/H
centerC22C22×#11758198
commutatorC23×C61C23×C4
FrattiniC24C23×D61
FittingC61×#2342C2
socleC22×C61C22×C22⋊C4
prime radicalC2×#16840402C2
cosocleC24×C61C24
hypercenter#2342D61
hypocenterC61#22405
LCSG ▷ C23×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C22×C22⋊C4 ◁ #2342

Complements

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

NH ≅ G/Ntype
2. C2×#16839735C2semidirect
3. C22×#14519691C2semidirect
4. #21448668C2semidirect
5. #21446655C2semidirect
6. #21446654C2semidirect
7. #21446277C2semidirect
8. #21446275C2semidirect
9. #21446272C2semidirect
10. #21446270C2semidirect
11. #21445804C2semidirect
12. #21445736C2semidirect
13. #21445733C2semidirect
14. C4×#14519691C2semidirect
15. C61×#2342C2semidirect
26. C2×#14519763C4semidirect
28. C2×#14519759C4semidirect
29. C2×#14519754C4semidirect
31. C2×#14519750C4semidirect
32. C2×#14519750C4semidirect
33. C2×#14519747C4semidirect
36. C2×#14519737C4semidirect
37. C2×#14519736C22semidirect
39. C2×C22⋊C4×D61C4semidirect
50. C2×#14519691C22semidirect
51. C2×#14519691C22semidirect
52. C2×#14519691C22semidirect
53. C2×#14519691C22semidirect
57. #16839625C22semidirect
58. #16839622C22semidirect
61. C4×C22⋊Dic61C22semidirect
62. #16839528C22semidirect
63. #16839528C22semidirect
64. #16839528C22semidirect
65. #16839528C22semidirect
66. C2×#117×C61C22semidirect
72. C61×#381C22semidirect
73. C61×#380C22semidirect
76. C4×C22⋊C4×C61C22semidirect
86. C22×Dic122C2×C4semidirect
87. C22×D244C2×C4semidirect
88. C22×D244C2×C4semidirect
106. C22×C4×D61C2×C4semidirect
107. C22×C4×D61C2×C4semidirect
108. C22×C4×D61C2×C4semidirect
157. C2×C4⋊Dic61C2×C4semidirect
158. C2×#11758196C2×C4semidirect
159. C2×#11758196C2×C4semidirect
160. C2×#11758196C2×C4semidirect
173. C2×#11758198C2×C4semidirect
174. C2×#11758198C2×C4semidirect
175. C2×#11758198C2×C4semidirect
176. C2×#11758198C2×C4semidirect
177. C2×#11758198C2×C4semidirect
184. C2×C4×Dic61C2×C4semidirect
196. #14519691D4semidirect
637. C22×C61#410semidirect
687. #2342D61semidirect
736. C2×#117C2×D61semidirect
762. #381C2×D61semidirect
764. #380C2×D61semidirect
770. C4×C22⋊C4C2×D61semidirect
775. C61#22405semidirect
1352. C22#16839735semidirect

Maximal subgroups

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

subgroupindex
C2×#168404022
C2×#168397352
C22×#145196912
#214486682
#214466552
#214466542
#214462772
#214462752
#214462722
#214462702
#214458042
#214457362
#214457332
C4×#145196912
C61×#23422
#2240561