Finite Group Databasebeta

← #29700346

Subgroups — #29700346

Order 15616.

1086 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16839917C211yesmaximal, characteristic
2C2×#16839867C211yesmaximal, characteristic, complemented
3C22×#14519700C211yesmaximal, characteristic
4C22⋊C4×Dic122C211yesmaximal, characteristic
5#21446689C211yesmaximal, characteristic, complemented
6#21446508C211yesmaximal, characteristic, complemented
7#21446453C211yesmaximal, characteristic, complemented
8#21446243C211yesmaximal, characteristic
9#21446163C211yesmaximal, characteristic, complemented
10#21446160C211yesmaximal, characteristic, complemented
11#21446086C211yesmaximal, characteristic, complemented
12#21446012C211yesmaximal, characteristic
13#21445652C211yesmaximal, characteristic, complemented
14#21445597C211yesmaximal, characteristic
15C61×#2360C211yesmaximal, characteristic
16C23×Dic122C2211yescharacteristic
17C22×#11758202C2211yescharacteristic
18C22×#11758202C2211yescharacteristic
19C23×#92418C2211yescharacteristic
20C2×C4×Dic122C2211yescharacteristic
21C2×C4×Dic122C2211yescharacteristic
22#16839917C418yescomplemented
23#16839867—24no—
24C2×#14519708C2211yescharacteristic
25C2×#14519708C2211yescharacteristic
26C2×#14519701C2211yescharacteristic
27C2×#14519701C2211yescharacteristic
28C2×#14519700—24no—
29C2×#14519700C2211yescharacteristic
30C2×#14519700C2211yescharacteristic
31C2×#14519700C2211yescharacteristic
32C2×#14519700C2211yescharacteristic
33C2×#14519700C2211yescharacteristic
34C2×#14519700C2211yescharacteristic
35C2×C22⋊#92418C2211yescharacteristic
36C2×#14519688C2211yescharacteristic
37C2×#14519688C2211yescharacteristic
38#16839668C2211yescharacteristic
39#16839668C2211yescharacteristic
40#16839666—21no—
41#16839666—21no—
42#16839622C2211yescharacteristic
43#16839620—21no—
44C22⋊C4×Dic61—21no—
45#16839524C2211yescharacteristic
46#16839524C2211yescharacteristic
47#16839524C2211yescharacteristic
48#16839524C2211yescharacteristic
49#16839517C2211yescharacteristic
50#16839517C2211yescharacteristic
51C2×C22⋊Q8×C61C2211yescharacteristic
52C2×C4×Q8×C61C2211yescharacteristic
53C22×C4⋊C4×C61C2211yescharacteristic
54C61×#391C2211yescharacteristic
55C61×#389—21no—
56C61×#389C2211yescharacteristic
57C61×#387—21no—
58C61×#385—21no—
59C4×C4⋊C4×C61C2211yescharacteristic
60C4×C22⋊C4×C61—21no—
61C4×C22⋊C4×C61C2211yescharacteristic
62C22×Dic122—22no—
63C22×Dic122—22no—
64C22×Dic122—21no—
65C22×Dic122—22no—
66C22×Dic122—41no—
67C22×Dic122—41no—
68C22×Dic122C2×C414yes—
69C22×Dic122C2311yescharacteristic
70C22×Dic122C2311yescharacteristic
71C23×Dic61—21no—
72C2×#11758202—22no—
73C2×#11758202—22no—
74C2×#11758202—41no—
75C2×#11758202—41no—
76C2×#11758202C2×C414yescomplemented
77C2×#11758202C2×C414yescomplemented
78C22×#92418—22no—
79C22×#92418—22no—
80C22×#92418—41no—
81C22×#92418C2311yescharacteristic
82C22×#92418C2311yescharacteristic
83C22×#92418C2311yescharacteristic
84C22×#92418C2311yescharacteristic
85C4×Dic122—22no—
86C4×Dic122—22no—
87C4×Dic122—41no—
88C4×Dic122—41no—
89C2×C4⋊Dic61C2311yescharacteristic
90C2×C4⋊Dic61C2311yescharacteristic
91C2×#11758196—21no—
92C2×#11758196—21no—
93C2×C22⋊Dic61—21no—
94C2×C4×Dic61—21no—
95C2×C4×Dic61—21no—
96#14519708—22no—
97#14519708—41no—
98#14519701—22no—
99#14519701—41no—
100#14519700—22no—
101#14519700—22no—
102#14519700—22no—
103#14519700C2×C414yescomplemented
104#14519700C2×C414yescomplemented
105#14519700D414yes—
106C22⋊#92418C2×C414yes—
107#14519688—22no—
108#14519688—41no—
109#14519684—21no—
110#14519684—21no—
111#14519684—21no—
112#14519684—21no—
113#14519684—21no—
114C22×Q8×C61C2311yescharacteristic
115C23×C4×C61—21no—
116C23×C4×C61C2311yescharacteristic
117C22⋊Q8×C61—22no—
118C22⋊Q8×C61C2×C414yes—
119C4×Q8×C61—22no—
120C4×Q8×C61—41no—
121C2×C4⋊C4×C61—21no—
122C2×C4⋊C4×C61—22no—
123C2×C4⋊C4×C61—21no—
124C2×C4⋊C4×C61—21no—
125C2×C4⋊C4×C61—21no—
126C2×C4⋊C4×C61—41no—
127C2×C4⋊C4×C61C2311yescharacteristic
128C2×C4⋊C4×C61C2311yescharacteristic
129C2×C4⋊C4×C61C2311yescharacteristic
130C2×C22⋊C4×C61—21no—
131C2×C22⋊C4×C61D411yescharacteristic
132C2×C22⋊C4×C61D411yescharacteristic
133C2×C42×C61—21no—
134C2×C42×C61—21no—
135C2×C42×C61C2311yescharacteristic
136C2×C42×C61C2311yescharacteristic
137#95×C61—21no—
138#95×C61—21no—
139#95×C61—21no—
140#95×C61—21no—
141#95×C61D411yescharacteristic
142#95×C61D411yescharacteristic
143C24×C61C2×D411yescharacteristic
144C2×Q8×C61—21no—
145C2×Q8×C61—21no—
146C2×Q8×C61—21no—
147C2×Q8×C61—21no—
148C2×Q8×C61—21no—
149C2×Q8×C61C22×C412yes—
150C22×C4×C61—21no—
151C22×C4×C61—21no—
152C22×C4×C61—21no—
153C22×C4×C61—21no—
154C22×C4×C61—21no—
155C22×C4×C61—21no—
156C22×C4×C61—21no—
157C22×C4×C61—21no—
158C22×C4×C61—42no—
159C22×C4×C61—42no—
160C22×C4×C61—81no—
161C22×C4×C61C22×C412yes—
162C22×C4×C61C2×D411yescharacteristic
163C22×C4×C61C2×D411yescharacteristic
164C22×C4×C61C2×D411yescharacteristic
165C22×C4×C61C2×D411yescharacteristic
166C22×C4×C61C2×D411yescharacteristic
167C22×C4×C61#4112yes—
168C22×C4×C61C2411yescharacteristic
169C22×Dic61—21no—
170C22×Dic61—24no—
171C22×Dic61—21no—
172C22×Dic61—21no—
173C22×Dic61—21no—
174C22×Dic61—42no—
175C22×Dic61—42no—
176C2×Dic122—21no—
177C2×Dic122—21no—
178C2×Dic122—21no—
179C2×Dic122—21no—
180C2×Dic122—21no—
181C2×Dic122—21no—
182C2×Dic122—21no—
183C2×Dic122—28no—
184C2×Dic122—24no—
185C2×Dic122—21no—
186C2×Dic122—44no—
187C2×Dic122—44no—
188C2×Dic122—44no—
189C2×Dic122—42no—
190C2×Dic122—42no—
191C2×Dic122C22×C412yes—
192C2×Dic122C22×C412yes—
193C2×Dic122C2×D412yes—
194C2×Dic122#4112yes—
195C4⋊C4×C61—24no—
196C4⋊C4×C61—21no—
197C4⋊C4×C61—21no—
198C4⋊C4×C61—21no—
199C4⋊C4×C61—21no—
200C4⋊C4×C61—42no—
201C4⋊C4×C61—42no—
202C4⋊C4×C61—81no—
203C4⋊C4×C61C22×C412yes—
204C4⋊C4×C61C2×D412yes—
205C22⋊C4×C61—24no—
206C22⋊C4×C61—22no—
207C22⋊C4×C61—22no—
208C42×C61—21no—
209C42×C61—21no—
210C42×C61—21no—
211C42×C61—21no—
212C42×C61—42no—
213C42×C61—81no—
214C22⋊Dic61—42no—
215#11758202—28no—
216#11758202—44no—
217C4⋊Dic61—21no—
218C4⋊Dic61—21no—
219C4⋊Dic61—21no—
220C4⋊Dic61—21no—
221#11758196—42no—
222#11758196—42no—
223C4×Dic61—42no—
224C4×Dic61—42no—
225C2×#92418—21no—
226C2×#92418—21no—
227C2×#92418—21no—
228C2×#92418—21no—
229C2×#92418—21no—
230C2×#92418—21no—
231C2×#92418—21no—
232C2×#92418—21no—
233C2×#92418—21no—
234C2×#92418—44no—
235C2×#92418C22×C412yes—
236C2×#92418C22×C412yes—
237C2×#92418C2×D412yes—
238C23×C61—21no—
239C23×C61—21no—
240C23×C61—21no—
241C23×C61—21no—
242C23×C61C4×D412yes—
243C23×C61#13712yes—
244C23×C61#13712yes—
245C23×C61C22×D411yescharacteristic
246Q8×C61—22no—
247Q8×C61—22no—
248Q8×C61—41no—
249Q8×C61—41no—
250C2×C4×C61—21no—
251C2×C4×C61—21no—
252C2×C4×C61—22no—
253C2×C4×C61—22no—
254C2×C4×C61—22no—
255C2×C4×C61—22no—
256C2×C4×C61—22no—
257C2×C4×C61—22no—
258C2×C4×C61—21no—
259C2×C4×C61—21no—
260C2×C4×C61—22no—
261C2×C4×C61—21no—
262C2×C4×C61—21no—
263C2×C4×C61—21no—
264C2×C4×C61—21no—
265C2×C4×C61—21no—
266C2×C4×C61—21no—
267C2×C4×C61—21no—
268C2×C4×C61—21no—
269C2×C4×C61—21no—
270C2×C4×C61—21no—
271C2×C4×C61—41no—
272C2×C4×C61—41no—
273C2×C4×C61—41no—
274C2×C4×C61—41no—
275C2×C4×C61—41no—
276C2×C4×C61—41no—
277C2×C4×C61—41no—
278C2×C4×C61—41no—
279C2×C4×C61—41no—
280C2×C4×C61—84no—
281C2×C4×C61C4×D412yes—
282C2×C4×C61C23×C411yescharacteristic
283C2×C4×C61C22×D411yescharacteristic
284C2×C4×C61C2×#4111yescharacteristic
285C2×C4×C61C2×#4111yescharacteristic
286C2×C4×C61H(5,𝔽2)11yescharacteristic
287C2×C4×C61H(5,𝔽2)11yescharacteristic
288C2×Dic61—22no—
289C2×Dic61—22no—
290C2×Dic61—22no—
291C2×Dic61—22no—
292C2×Dic61—48no—
293C2×Dic61—41no—
294C2×Dic61—41no—
295C2×Dic61—41no—
296C2×Dic61—41no—
297C2×Dic61—41no—
298C2×Dic61—41no—
299C2×Dic61—41no—
300C2×Dic61—41no—
301Dic122—22no—
302Dic122—22no—
303Dic122—22no—
304Dic122—22no—
305Dic122—22no—
306Dic122—48no—
307Dic122—41no—
308Dic122—41no—
309Dic122C4×D414yes—
310#92418—22no—
311#92418—22no—
312#92418—22no—
313#92418—41no—
314#22859—611nomaximal, Sylow
315C22×C61—22no—
316C22×C61—22no—
317C22×C61—22no—
318C22×C61—22no—
319C22×C61—22no—
320C22×C61—22no—
321C22×C61#44114yescomplemented
322C22×C61C2×C4×D411yescharacteristic
323C22×C61D4211yescharacteristic
324C22×C61#54611yescharacteristic
325C22×C61C2×#13711yescharacteristic
326C22×C61C2×#13711yescharacteristic
327C22×C61#57711yescharacteristic
328C22×C61#57811yescharacteristic
329C4×C61—22no—
330C4×C61—42no—
331C4×C61—42no—
332C4×C61—41no—
333C4×C61—42no—
334C4×C61—41no—
335C4×C61—41no—
336C4×C61—41no—
337C4×C61—81no—
338C4×C61C2×C4×D411yescharacteristic
339C4×C61#51811yescharacteristic
340C4×C61#54611yescharacteristic
341C4×C61#55111yescharacteristic
342Dic61—24no—
343Dic61—42no—
344Dic61—81no—
345Dic61—81no—
346C2×#451—611no—
347C2×#441—611no—
348C22×#103—611no—
349#2360D6111yescharacteristic
350Q8×C22⋊C4—611no—
351#1971—611no—
352#1935—611no—
353#1927—611no—
354#1892—611no—
355#1878—611no—
356#1878—611no—
357#1865—611no—
358#1853—611no—
359#1763—611no—
360#1752—611no—
361C2×C61—24no—
362C2×C61#235811yescharacteristic
363C2×C61C2×#44111yescharacteristic
364C2×C61#294711yescharacteristic
365C2×C61#326611yescharacteristic
366C2×C61#327011yescharacteristic
367C2×C61#331211yescharacteristic
368C2×C61#331611yescharacteristic
369C23×Q8—611no—
370C22×Q16—611no—
371C22×Q16—611no—
372C23×C8—611no—
373C2×C22⋊Q8C2×D6111yescharacteristic
374C2×C4×Q8—611no—
375C2×C4×Q8—611no—
376C2×C4×Q8C2×D6111yescharacteristic
377C22×C4⋊C4C2×D6111yescharacteristic
378#451—618no—
379#441—1224no—
380C2×#106—611no—
381C2×#106—611no—
382C2×#103—611no—
383C2×#103—611no—
384C2×#103—611no—
385C2×#103—611no—
386C2×#103—611no—
387C2×#103—611no—
388C2×#103—611no—
389C2×#103—611no—
390C2×#103—1224no—
391C2×C22⋊C8—611no—
392C2×#97—611no—
393C2×#97—611no—
394#391—611no—
395#391—611no—
396#391—1221no—
397#391—1221no—
398#391C2×D6111yescharacteristic
399#389—21no—
400#389C2×D6111yescharacteristic
401#387—21no—
402#385—21no—
403#380—611no—
404#380—1221no—
405C4×C4⋊C4C2×D6111yescharacteristic
406C4×C22⋊C4—21no—
407C4×C22⋊C4—1221no—
408C4×C22⋊C4C2×D6111yescharacteristic
409#340—611no—
410#340—611no—
411#340—611no—
412#340—611no—
413#336—611no—
414#336—611no—
415C61#2285911yescharacteristic, complemented, Sylow
416C22×Q8—614no—
417C22×Q8—611no—
418C22×Q8—611no—
419C22×Q8—1222no—
420C22×Q8—1222no—
421C22×Q8—1222no—
422C22×Q8—1221no—
423C22×Q8—2441no—
424C22×Q8—2441no—
425C22×Q8C22×D6111yescharacteristic
426C23×C4—21no—
427C23×C4—1221no—
428C23×C4C22×D6111yescharacteristic
429C2×Q16—614no—
430C2×Q16—614no—
431C2×Q16—1222no—
432C2×Q16—1222no—
433C2×Q16—2441no—
434C2×Q16—2441no—
435C22×C8—611no—
436C22×C8—611no—
437C22×C8—611no—
438C22×C8—611no—
439C22×C8—1222no—
440C22×C8—1222no—
441C22×C8—2441no—
442C22⋊Q8—22no—
443C22⋊Q8C4×D6114yes—
444C4×Q8—22no—
445C4×Q8—41no—
446C4×Q8—1222no—
447C4×Q8—1222no—
448C4×Q8—2441no—
449C4×Q8—2441no—
450C2×C4⋊C4—21no—
451C2×C4⋊C4—22no—
452C2×C4⋊C4—21no—
453C2×C4⋊C4—21no—
454C2×C4⋊C4—21no—
455C2×C4⋊C4—41no—
456C2×C4⋊C4—611no—
457C2×C4⋊C4—611no—
458C2×C4⋊C4—1221no—
459C2×C4⋊C4—1221no—
460C2×C4⋊C4C22×D6111yescharacteristic
461C2×C4⋊C4C22×D6111yescharacteristic
462C2×C4⋊C4C22×D6111yescharacteristic
463C2×C22⋊C4—21no—
464C2×C22⋊C4—1221no—
465C2×C22⋊C4C22⋊D6111yescharacteristic
466C2×C22⋊C4C22⋊D6111yescharacteristic
467C2×C42—21no—
468C2×C42—21no—
469C2×C42—1221no—
470C2×C42—1221no—
471C2×C42C22×D6111yescharacteristic
472C2×C42C22×D6111yescharacteristic
473#106—1222no—
474#106—2441no—
475#103—614no—
476#103—614no—
477#103—614no—
478#103—1222no—
479#103—1222no—
480#103—1222no—
481#103—1222no—
482#103—2441no—
483C22⋊C8—614no—
484#97—1222no—
485#97—2441no—
486#95—21no—
487#95—21no—
488#95—21no—
489#95—21no—
490#95—1221no—
491#95—1221no—
492#95—1221no—
493#95—1221no—
494#95—1221no—
495#95C22⋊D6111yescharacteristic
496#95C22⋊D6111yescharacteristic
497C24C2×C22⋊D6111yescharacteristic
498C2×Q8—21no—
499C2×Q8—21no—
500C2×Q8—21no—
501C2×Q8—21no—
502C2×Q8—21no—
503C2×Q8—612no—
504C2×Q8—612no—
505C2×Q8—612no—
506C2×Q8—612no—
507C2×Q8—1228no—
508C2×Q8—1221no—
509C2×Q8—1221no—
510C2×Q8—1221no—
511C2×Q8—1221no—
512C2×Q8—1224no—
513C2×Q8—1221no—
514C2×Q8—1221no—
515C2×Q8—1221no—
516C2×Q8—1221no—
517C2×Q8—2442no—
518C2×Q8—2442no—
519C2×Q8—2444no—
520C2×Q8—2444no—
521C2×Q8—2444no—
522C2×Q8C2×C4×D6112yes—
523C22×C4—21no—
524C22×C4—21no—
525C22×C4—21no—
526C22×C4—21no—
527C22×C4—21no—
528C22×C4—21no—
529C22×C4—21no—
530C22×C4—21no—
531C22×C4—42no—
532C22×C4—42no—
533C22×C4—81no—
534C22×C4—1221no—
535C22×C4—1221no—
536C22×C4—1224no—
537C22×C4—1221no—
538C22×C4—1221no—
539C22×C4—2442no—
540C22×C4—2442no—
541C22×C4C2×C4×D6112yes—
542C22×C4#1175822212yes—
543C22×C4C2×C22⋊D6111yescharacteristic
544C22×C4C2×C22⋊D6111yescharacteristic
545C22×C4C2×C22⋊D6111yescharacteristic
546C22×C4C2×C22⋊D6111yescharacteristic
547C22×C4C2×C22⋊D6111yescharacteristic
548C22×C4C23×D6111yescharacteristic
549Q16—1228no—
550Q16—2444no—
551C2×C8—612no—
552C2×C8—612no—
553C2×C8—612no—
554C2×C8—1221no—
555C2×C8—1221no—
556C2×C8—1221no—
557C2×C8—1221no—
558C2×C8—1221no—
559C2×C8—1221no—
560C2×C8—1221no—
561C2×C8—1221no—
562C2×C8—1221no—
563C2×C8—2444no—
564C4⋊C4—21no—
565C4⋊C4—21no—
566C4⋊C4—24no—
567C4⋊C4—21no—
568C4⋊C4—21no—
569C4⋊C4—42no—
570C4⋊C4—42no—
571C4⋊C4—81no—
572C4⋊C4—1221no—
573C4⋊C4—1221no—
574C4⋊C4—1221no—
575C4⋊C4—1221no—
576C4⋊C4—2442no—
577C4⋊C4—2442no—
578C4⋊C4C2×C4×D6112yes—
579C4⋊C4D4×D6112yes—
580C22⋊C4—22no—
581C22⋊C4—24no—
582C22⋊C4—22no—
583C22⋊C4—2442no—
584C42—21no—
585C42—21no—
586C42—21no—
587C42—21no—
588C42—42no—
589C42—81no—
590C42—2442no—
591C42—2442no—
592C23—21no—
593C23—21no—
594C23—21no—
595C23—21no—
596C23C4×C22⋊D6112yes—
597C23#1451980712yes—
598C23#1451980812yes—
599C23C22×C22⋊D6111yescharacteristic
600Q8—22no—
601Q8—22no—
602Q8—41no—
603Q8—41no—
604Q8—614no—
605Q8—1222no—
606Q8—1222no—
607Q8—1222no—
608Q8—1222no—
609Q8—1222no—
610Q8—2448no—
611Q8—2441no—
612Q8—2441no—
613C2×C4—21no—
614C2×C4—21no—
615C2×C4—22no—
616C2×C4—22no—
617C2×C4—22no—
618C2×C4—22no—
619C2×C4—22no—
620C2×C4—22no—
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—21no—
624C2×C4—21no—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—22no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—84no—
644C2×C4—1222no—
645C2×C4—1222no—
646C2×C4—1222no—
647C2×C4—1222no—
648C2×C4—2448no—
649C2×C4—2441no—
650C2×C4—2441no—
651C2×C4—2441no—
652C2×C4—2441no—
653C2×C4—2441no—
654C2×C4—2441no—
655C2×C4—2441no—
656C2×C4—2441no—
657C2×C4C4×C22⋊D6112yes—
658C2×C4C22×C4×D6111yescharacteristic
659C2×C4C2×D4×D6111yescharacteristic
660C2×C4#41×D6111yescharacteristic
661C2×C4C2×#1175822211yescharacteristic
662C2×C4#1451982211yescharacteristic
663C2×C4#1451982311yescharacteristic
664C8—1222no—
665C8—1222no—
666C8—1222no—
667C8—2441no—
668C22—22no—
669C22—22no—
670C22—22no—
671C22—22no—
672C22—22no—
673C22—22no—
674C22#1683986714yescomplemented
675C22C2×C4×C22⋊D6111yescharacteristic
676C22D4×C22⋊D6111yescharacteristic
677C22#1684040011yescharacteristic
678C22C2×#1451980711yescharacteristic
679C22C2×#1451980811yescharacteristic
680C22#1684057311yescharacteristic
681C22#1684057711yescharacteristic
682C4—22no—
683C4—41no—
684C4—42no—
685C4—42no—
686C4—41no—
687C4—42no—
688C4—41no—
689C4—41no—
690C4—81no—
691C4—1224no—
692C4—4881no—
693C4—4881no—
694C4—2442no—
695C4C4×D4×D6111yescharacteristic
696C4#1684023411yescharacteristic
697C4#1684040811yescharacteristic
698C4#1684044111yescharacteristic
699C2—24no—
700C2#2144879611yescharacteristic
701C2C2×#1683986711yescharacteristic
702C2#2145465811yescharacteristic
703C2#2145732511yescharacteristic
704C2#2145739011yescharacteristic
705C2#2145786411yescharacteristic
706C2#2145792411yescharacteristic
subgroupG/H
centerC23C22×C22⋊D61
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC61×#2360C2
socleC23×C61C22×D4
prime radicalC24×C61C2×D4
cosocleC22×C4×C61C24
hypercenter#2360D61
hypocenterC61#22859
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C4×C22⋊C4 ◁ #2360

Complements

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

NH ≅ G/Ntype
2. C2×#16839867C2semidirect
5. #21446689C2semidirect
6. #21446508C2semidirect
7. #21446453C2semidirect
9. #21446163C2semidirect
10. #21446160C2semidirect
11. #21446086C2semidirect
13. #21445652C2semidirect
22. #16839917C4semidirect
76. C2×#11758202C2×C4semidirect
77. C2×#11758202C2×C4semidirect
103. #14519700C2×C4semidirect
104. #14519700C2×C4semidirect
321. C22×C61#441semidirect
415. C61#22859semidirect
674. C22#16839867semidirect

Maximal subgroups

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

subgroupindex
C2×#168399172
C2×#168398672
C22×#145197002
C22⋊C4×Dic1222
#214466892
#214465082
#214464532
#214462432
#214461632
#214461602
#214460862
#214460122
#214456522
#214455972
C61×#23602
#2285961