Finite Group Databasebeta

← C4×#91484 #14416870

Subgroups — C4×#91484 #14416870

Order 1920.

968 conjugacy classes of subgroups.

The subgroup lattice has 712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×C4×#711C211yesmaximal, characteristic
2C2×#91484C211yesmaximal, characteristic
3C4×D5×Dic6C211yesmaximal, characteristic, complemented
4C4×#6716C211yesmaximal, characteristic, complemented
5C4×C5×#214C211yesmaximal, characteristic, complemented
6#11749004C211yesmaximal, characteristic, complemented
7#11749001C211yesmaximal, characteristic, complemented
8#11748951C211yesmaximal, characteristic
9#11747487C211yesmaximal, characteristic, complemented
10#11747269C211yesmaximal, characteristic, complemented
11#11747262C211yesmaximal, characteristic, complemented
12#11747189C211yesmaximal, characteristic, complemented
13C4×#6662C211yesmaximal, characteristic, complemented
14C4×#6661C211yesmaximal, characteristic, complemented
15C4×#6649C211yesmaximal, characteristic, complemented
16C4×#4061—31nomaximal, Hall
17C2×C3×#711C2211yescharacteristic
18C2×D5×Dic6C2211yescharacteristic
19C3×C4×C5×D4C2211yescharacteristic
20C2×#6716C2211yescharacteristic
21C4×Dic30C2211yescharacteristic
22C2×C5×#214C2211yescharacteristic
23C4×C5×Dic6C2211yescharacteristic
24C3×D4×Dic5C2211yescharacteristic
25C3×C4×C22⋊D5—21no—
26C2×C3×C4×Dic5—21no—
27C3×#4038C2211yescharacteristic
28C3×#4033C2211yescharacteristic
29C3×#4027—21no—
30C3×#4023—21no—
31C3×C42×D5C2211yescharacteristic
32C3×C4×Dic10C2211yescharacteristic
33#91484C418yesdirect product factor
34C4×#1204—21no—
35D5×C4⋊Dic3C2211yescharacteristic
36D5×Dic3⋊C4—21no—
37C4×D5×Dic3—21no—
38#91333C2211yescharacteristic
39Dic5×Dic6C2211yescharacteristic
40#91323—21no—
41C2×#6662C2211yescharacteristic
42C2×#6661C2211yescharacteristic
43C2×#6649C2211yescharacteristic
44C2×#6649C2211yescharacteristic
45#91116C2211yescharacteristic
46#91094C2211yescharacteristic
47#91092C2211yescharacteristic
48C4×C3⋊#168C2211yescharacteristic
49C5×#832C2211yescharacteristic
50C5×#810C2211yescharacteristic
51C5×#808C2211yescharacteristic
52C4×C5×C3⋊C8C2211yescharacteristic
53#90990C2211yescharacteristic
54#90989C2211yescharacteristic
55#90974C2211yescharacteristic
56#90972C2211yescharacteristic
57#90971C2211yescharacteristic
58#90970C2211yescharacteristic
59#90952C2211yescharacteristic
60#90952C2211yescharacteristic
61C4×#951—51nomaximal, Hall
62C2×#4061—31no—
63C4×Q8×D5—31no—
64C4×#711D311yescharacteristic
65C4×C5×SD16—31no—
66#65453—31no—
67C4×#689—31no—
68C4×#687—31no—
69#65150—31no—
70#65142—31no—
71#65091—31no—
72#65078—31no—
73#65060—31no—
74#65046—31no—
75C4×Dic20—31no—
76C4×#676—31no—
77C2×C3×C5×D4C2311yescharacteristic
78C22×C3×C4×C5—21no—
79C2×Dic30C2311yescharacteristic
80C2×C5×Dic6C2311yescharacteristic
81C2×C3×C22⋊D5—21no—
82C22×C3×Dic5—21no—
83C22×C3×Dic5—21no—
84C3×#711—22no—
85C3×#711C2×C414yes—
86C2×C3×C4×D5D411yescharacteristic
87C2×C3×C4×D5D411yescharacteristic
88C2×C3×C4×D5C2311yescharacteristic
89C2×C3×Dic10C2311yescharacteristic
90C2×#1204—21no—
91C2×D5×Dic3—21no—
92C2×D5×Dic3—21no—
93D5×Dic6—22no—
94D5×Dic6C2×C414yescomplemented
95C3×C5×C4⋊C4C2311yescharacteristic
96C3×C5×C22⋊C4—21no—
97C3×C42×C5C2311yescharacteristic
98#6716C2×C414yescomplemented
99C4⋊Dic15C2311yescharacteristic
100#6712—21no—
101C4×Dic15—21no—
102C2×C3⋊#168C2311yescharacteristic
103C2×C3⋊#168C2311yescharacteristic
104C5×#214C2×C414yescomplemented
105C5×C4⋊Dic3C2311yescharacteristic
106C5×Dic3⋊C4—21no—
107C4×C5×Dic3—21no—
108C2×C5×C3⋊C8C2311yescharacteristic
109C2×C5×C3⋊C8C2311yescharacteristic
110C3×C22⋊Dic5—21no—
111C3×#685—21no—
112C3×C4⋊Dic5C2311yescharacteristic
113C3×#683—21no—
114C3×#683—21no—
115C3×C4×Dic5—21no—
116C3×C4×Dic5—21no—
117C3×C4×Dic5—21no—
118C3×C4×Dic5D411yescharacteristic
119C3×C4×Dic5D411yescharacteristic
120C3×C4×Dic5C2311yescharacteristic
121Dic3⋊Dic5—21no—
122#6669—21no—
123#6668—21no—
124Dic3×Dic5—21no—
125Dic3×Dic5—21no—
126#6662C2×C414yescomplemented
127#6661C2×C414yescomplemented
128#6649—22no—
129#6649C2×C414yescomplemented
130C3×C4×#41—51no—
131C2×#951—51no—
132C2×C4×Dic6—51no—
133#5232—51no—
134#5030—51no—
135#5030—51no—
136C4×#216—51no—
137C4×#216—51no—
138#5018—51no—
139#5018—51no—
140C4×#214—51no—
141C4×#214D511yescharacteristic, complemented
142#5004—51no—
143#4995—51no—
144C4×#208—51no—
145C2×Q8×D5—31no—
146C2×#711C2×D311yescharacteristic
147C2×C5×SD16—31no—
148C4×C5×Q8—31no—
149C4×C5×D4C2×D311yescharacteristic
150Q8×Dic5—31no—
151C2×#689—31no—
152D4×Dic5C2×D311yescharacteristic
153C2×#687—31no—
154C4×C22⋊D5—21no—
155C2×C4×Dic5—21no—
156#4061—38no—
157C2×Dic20—31no—
158C2×#676—31no—
159C2×#676—31no—
160#4038C2×D311yescharacteristic
161D5×C4⋊C4—31no—
162D5×C4⋊C4—61no—
163#4033—31no—
164#4033—61no—
165#4033C2×D311yescharacteristic
166#4027—21no—
167#4023—21no—
168C42×D5—61no—
169C42×D5C2×D311yescharacteristic
170C4×Dic10—31no—
171C4×Dic10—61no—
172C4×Dic10C2×D311yescharacteristic
173C5×#106—31no—
174C5×#103—31no—
175C5×#102—31no—
176C4×C5×C8—31no—
177#3967—31no—
178#3964—31no—
179#3950—31no—
180#3948—31no—
181#3948—31no—
182#3947—31no—
183#3947—31no—
184#3942—31no—
185#3942—31no—
186#3940—31no—
187#3939—31no—
188C4×#168—31no—
189C4×#137—151noSylow
190C23×C3×C5—21no—
191C22×C3×D5C2×D411yescharacteristic
192C3×C5×D4—21no—
193C3×C5×D4C22×C412yes—
194C2×C3×C4×C5—21no—
195C2×C3×C4×C5—42no—
196C2×C3×C4×C5C2×D411yescharacteristic
197C2×C3×C4×C5C2×D411yescharacteristic
198C2×C3×C4×C5C2411yescharacteristic
199C2×Dic15—21no—
200C2×Dic15—21no—
201Dic30—21no—
202Dic30C22×C412yes—
203C2×C5×Dic3—21no—
204C2×C5×Dic3—21no—
205C5×Dic6—21no—
206C5×Dic6C22×C412yes—
207C3×C22⋊D5—24no—
208C2×C3×Dic5—21no—
209C2×C3×Dic5—24no—
210C2×C3×Dic5—21no—
211C2×C3×Dic5—42no—
212C2×C3×Dic5C2×D411yescharacteristic
213C2×C3×Dic5C2×D411yescharacteristic
214C2×C3×Dic5C2×D411yescharacteristic
215C3×C4×D5—22no—
216C3×C4×D5—41no—
217C3×C4×D5C22×C412yes—
218C3×C4×D5#4112yes—
219C3×Dic10—21no—
220C3×Dic10C22×C412yes—
221#1204—24no—
222D5×Dic3—24no—
223D5×Dic3—42no—
224C3⋊#168—21no—
225C3⋊#168C22×C412yes—
226C5×C3⋊C8—21no—
227C5×C3⋊C8C22×C412yes—
228C2×C3×#41—51no—
229C22×Dic6—51no—
230C3×C4×Q8—51no—
231C3×C4×Q8—51no—
232C3×C4×D4—51no—
233C3×C4×D4—101no—
234C3×C4×D4—101no—
235C3×C4×D4C2×D511yescharacteristic
236C3×#117—51no—
237C3×#117—101no—
238C2×C3×C42—51no—
239C2×C3×C42—101no—
240#951—58no—
241C2×#216—51no—
242C2×#216—51no—
243C2×#214—51no—
244C2×#214C2×D511yescharacteristic
245C2×C4⋊Dic3—51no—
246C2×Dic3⋊C4—101no—
247C2×C4×Dic3—101no—
248C2×#208—51no—
249C2×#208—51no—
250C4×Dic6—51no—
251C4×Dic6—51no—
252C4×Dic6—51no—
253C4×Dic6—101no—
254C4×Dic6—101no—
255C4×Dic6C2×D511yescharacteristic
256#835—51no—
257#835—51no—
258#832—51no—
259#832C2×D511yescharacteristic
260#810—51no—
261#810—51no—
262#810—51no—
263#810C2×D511yescharacteristic
264#808—51no—
265#808C2×D511yescharacteristic
266#807—51no—
267#807—51no—
268#803—51no—
269#803—51no—
270C4×C3⋊C8—51no—
271C4×C3⋊C8C2×D511yescharacteristic
272C2×C5×Q8—31no—
273C2×C5×D4C22×D311yescharacteristic
274C22×C4×C5—21no—
275C2×C22⋊D5—21no—
276C22×Dic5—21no—
277C22×Dic5—21no—
278Q8×D5—34no—
279Q8×D5—62no—
280#711—22no—
281#711C4×D314yes—
282C2×C4×D5—61no—
283C2×C4×D5—61no—
284C2×C4×D5#6711yescharacteristic
285C2×C4×D5#6711yescharacteristic
286C2×C4×D5C22×D311yescharacteristic
287C2×Dic10—31no—
288C2×Dic10—61no—
289C2×Dic10C22×D311yescharacteristic
290C5×SD16—34no—
291C2×C5×C8—31no—
292C2×C5×C8—31no—
293C5×C4⋊C4—31no—
294C5×C4⋊C4—61no—
295C5×C4⋊C4C22×D311yescharacteristic
296C5×C22⋊C4—21no—
297C42×C5—61no—
298C42×C5C22×D311yescharacteristic
299C22⋊Dic5—21no—
300#689—34no—
301#687—34no—
302#685—21no—
303C4⋊Dic5—31no—
304C4⋊Dic5—61no—
305C4⋊Dic5C22×D311yescharacteristic
306#683—21no—
307#683—21no—
308#683—61no—
309#683—61no—
310#683—61no—
311C4×Dic5—21no—
312C4×Dic5—21no—
313C4×Dic5—21no—
314C4×Dic5—61no—
315C4×Dic5—61no—
316C4×Dic5—61no—
317C4×Dic5#6711yescharacteristic
318C4×Dic5#6711yescharacteristic
319C4×Dic5C22×D311yescharacteristic
320C2×#168—31no—
321C2×#168—31no—
322Dic20—34no—
323#676—34no—
324#676—62no—
325C2×#137—151no—
326C4×#41—51no—
327C2×C4×Q8—151no—
328#441—151no—
329#441—151no—
330#440—151no—
331#440—151no—
332C4×Q16—151no—
333C4×Q16—151no—
334C4×SD16—31no—
335C4×SD16—151no—
336#428—151no—
337#419—151no—
338#417—151no—
339C4×M16—151no—
340C22×C3×C5—22no—
341C22×C3×C5—41no—
342C22×C3×C5—41no—
343C22×C3×C5C22×D411yescharacteristic
344C2×C3×D5—21no—
345C2×C3×D5—21no—
346C2×C3×D5C4×D412yes—
347C3×C4×C5—21no—
348C3×C4×C5—41no—
349C3×C4×C5#13712yescomplemented
350C3×C4×C5C23×C411yescharacteristic
351C3×C4×C5C2×#4111yescharacteristic
352Dic15—22no—
353Dic15—41no—
354C3×Dic5—22no—
355C3×Dic5—21no—
356C3×Dic5—21no—
357C3×Dic5—41no—
358C3×Dic5C4×D412yes—
359C5×Dic3—22no—
360C5×Dic3—41no—
361C3×#41—54no—
362C3×#41—102no—
363C2×C3×Q8—51no—
364C2×C3×D4—101no—
365C2×C3×D4C22×D511yescharacteristic
366C22×C3×C4—21no—
367C22×C3×C4—51no—
368C22×C3×C4—51no—
369C22×C3×C4—51no—
370C22×C3×C4—101no—
371C22×C3×C4—101no—
372C22×Dic3—101no—
373C22×Dic3—101no—
374C2×Dic6—51no—
375C2×Dic6—54no—
376C2×Dic6—102no—
377C2×Dic6—101no—
378C2×Dic6C22×D511yescharacteristic
379C3×C4⋊C4—51no—
380C3×C4⋊C4—101no—
381C3×C4⋊C4—101no—
382C3×C4⋊C4C22×D511yescharacteristic
383C3×C22⋊C4—21no—
384C3×C22⋊C4—101no—
385C3×C22⋊C4—101no—
386C3×C42—51no—
387C3×C42—51no—
388C3×C42—51no—
389C3×C42—101no—
390C3×C42—101no—
391C3×C42—101no—
392C3×C42C22×D511yescharacteristic
393#216—54no—
394#216—54no—
395#214—54no—
396#214C4×D514yescomplemented
397C4⋊Dic3—51no—
398C4⋊Dic3—101no—
399C4⋊Dic3C22×D511yescharacteristic
400Dic3⋊C4—21no—
401Dic3⋊C4—101no—
402Dic3⋊C4—101no—
403Dic3⋊C4—101no—
404C4×Dic3—21no—
405C4×Dic3—101no—
406C4×Dic3—101no—
407C4×Dic3—101no—
408#208—54no—
409#208—102no—
410C2×C3⋊C8—51no—
411C2×C3⋊C8—51no—
412C2×C3⋊C8C22×D511yescharacteristic
413C2×C3⋊C8C22×D511yescharacteristic
414C23×C5—21no—
415C22×D5C2×#6711yescharacteristic
416C5×Q8—32no—
417C5×Q8—61no—
418C5×D4—21no—
419C5×D4C2×C4×D312yes—
420C2×C4×C5—21no—
421C2×C4×C5—42no—
422C2×C4×C5—61no—
423C2×C4×C5—61no—
424C2×C4×C5C2×#6711yescharacteristic
425C2×C4×C5C2×#6711yescharacteristic
426C2×C4×C5C23×D311yescharacteristic
427C22⋊D5—24no—
428C2×Dic5—21no—
429C2×Dic5—24no—
430C2×Dic5—21no—
431C2×Dic5—42no—
432C2×Dic5—61no—
433C2×Dic5—61no—
434C2×Dic5C2×#6711yescharacteristic
435C2×Dic5C2×#6711yescharacteristic
436C2×Dic5C2×#6711yescharacteristic
437C4×D5—22no—
438C4×D5—41no—
439C4×D5—64no—
440C4×D5—122no—
441C4×D5C2×C4×D312yes—
442C4×D5#23512yes—
443Dic10—21no—
444Dic10—32no—
445Dic10—61no—
446Dic10—64no—
447Dic10C2×C4×D312yes—
448C5×C8—32no—
449C5×C8—61no—
450#168—32no—
451#168—61no—
452C2×#41—51no—
453C22×Q8—151no—
454#137—158no—
455C2×Q16—151no—
456C2×Q16—151no—
457C2×SD16—31no—
458C2×SD16—151no—
459C2×M16—151no—
460C2×M16—151no—
461C4×Q8—31no—
462C4×Q8—51no—
463C4×Q8—51no—
464C4×Q8—151no—
465C4×Q8—151no—
466C4×Q8—151no—
467C4×Q8—301no—
468C4×Q8—301no—
469C4×D4—51no—
470C4×D4—101no—
471C4×D4—101no—
472C4×D4D3×D511yescharacteristic
473#117—51no—
474#117—101no—
475C2×C4⋊C4—151no—
476C2×C4⋊C4—301no—
477C2×C42—51no—
478C2×C42—101no—
479C2×C42—301no—
480#107—151no—
481#107—151no—
482#106—31no—
483#106—151no—
484#103—31no—
485#103—151no—
486#103—151no—
487#103—151no—
488#103—151no—
489#103—151no—
490#102—31no—
491#102—151no—
492#97—151no—
493#97—151no—
494C4×C8—31no—
495C4×C8—151no—
496C2×C3×C5—42no—
497C2×C3×C5C2×C4×D411yescharacteristic
498C2×C3×C5C2×#13711yescharacteristic
499C2×C3×C5#57511yescharacteristic
500C3×D5—22no—
501C23×C3—21no—
502C23×C3—51no—
503C3×Q8—52no—
504C3×Q8—101no—
505C3×D4—21no—
506C3×D4—104no—
507C3×D4C2×C4×D512yes—
508C2×C3×C4—21no—
509C2×C3×C4—42no—
510C2×C3×C4—51no—
511C2×C3×C4—52no—
512C2×C3×C4—52no—
513C2×C3×C4—51no—
514C2×C3×C4—51no—
515C2×C3×C4—104no—
516C2×C3×C4—101no—
517C2×C3×C4—102no—
518C2×C3×C4—101no—
519C2×C3×C4—201no—
520C2×C3×C4—202no—
521C2×C3×C4D4×D511yescharacteristic
522C2×C3×C4D4×D511yescharacteristic
523C2×C3×C4C23×D511yescharacteristic
524C2×Dic3—21no—
525C2×Dic3—21no—
526C2×Dic3—104no—
527C2×Dic3—101no—
528C2×Dic3—101no—
529C2×Dic3—202no—
530Dic6—21no—
531Dic6—52no—
532Dic6—104no—
533Dic6—101no—
534Dic6C2×C4×D512yes—
535C3⋊C8—21no—
536C3⋊C8—52no—
537C3⋊C8—101no—
538C3⋊C8C2×C4×D512yes—
539C22×C5—22no—
540C22×C5—41no—
541C22×C5—41no—
542C22×C5C22×#6711yescharacteristic
543C2×D5—21no—
544C2×D5—21no—
545C2×D5C4×#6712yes—
546C4×C5—21no—
547C4×C5—41no—
548C4×C5—62no—
549C4×C5—121no—
550C4×C5#95112yescomplemented
551C4×C5C22×C4×D311yescharacteristic
552C4×C5C2×#23511yescharacteristic
553Dic5—22no—
554Dic5—21no—
555Dic5—21no—
556Dic5—41no—
557Dic5—62no—
558Dic5—121no—
559Dic5C4×#6712yes—
560#41—54no—
561#41—102no—
562C2×Q8—31no—
563C2×Q8—51no—
564C2×Q8—154no—
565C2×Q8—151no—
566C2×Q8—301no—
567C2×Q8—302no—
568C2×D4—101no—
569C2×D4C2×D3×D511yescharacteristic
570C22×C4—21no—
571C22×C4—51no—
572C22×C4—51no—
573C22×C4—51no—
574C22×C4—101no—
575C22×C4—101no—
576C22×C4—301no—
577C22×C4—301no—
578Q16—154no—
579Q16—154no—
580SD16—34no—
581SD16—154no—
582M16—154no—
583M16—302no—
584C2×C8—31no—
585C2×C8—31no—
586C2×C8—151no—
587C2×C8—151no—
588C4⋊C4—31no—
589C4⋊C4—51no—
590C4⋊C4—61no—
591C4⋊C4—101no—
592C4⋊C4—101no—
593C4⋊C4—151no—
594C4⋊C4—301no—
595C4⋊C4—301no—
596C4⋊C4—301no—
597C4⋊C4—301no—
598C4⋊C4C2×D3×D511yescharacteristic
599C22⋊C4—21no—
600C22⋊C4—101no—
601C22⋊C4—101no—
602C42—51no—
603C42—51no—
604C42—51no—
605C42—61no—
606C42—101no—
607C42—101no—
608C42—101no—
609C42—301no—
610C42—301no—
611C42—301no—
612C42C2×D3×D511yescharacteristic
613C3×C5C4×#13711yescharacteristic, complemented, Hall
614C22×C3—22no—
615C22×C3—41no—
616C22×C3—41no—
617C22×C3—52no—
618C22×C3—101no—
619C22×C3—101no—
620C22×C3C2×D4×D511yescharacteristic
621C3×C4—21no—
622C3×C4—41no—
623C3×C4—52no—
624C3×C4—101no—
625C3×C4—101no—
626C3×C4—102no—
627C3×C4—201no—
628C3×C4#406112yescomplemented
629C3×C4C22×C4×D511yescharacteristic
630C3×C4D5×#4111yescharacteristic
631Dic3—22no—
632Dic3—41no—
633Dic3—102no—
634Dic3—201no—
635C2×C5—42no—
636C2×C5C2×C4×#6711yescharacteristic
637C2×C5#582211yescharacteristic
638C2×C5C2×#95111yescharacteristic
639D5—22no—
640C23—21no—
641C23—51no—
642Q8—32no—
643Q8—52no—
644Q8—61no—
645Q8—101no—
646Q8—152no—
647Q8—304no—
648Q8—301no—
649D4—21no—
650D4—104no—
651D4C4×D3×D512yes—
652C2×C4—21no—
653C2×C4—42no—
654C2×C4—51no—
655C2×C4—52no—
656C2×C4—52no—
657C2×C4—51no—
658C2×C4—51no—
659C2×C4—61no—
660C2×C4—61no—
661C2×C4—104no—
662C2×C4—101no—
663C2×C4—102no—
664C2×C4—101no—
665C2×C4—201no—
666C2×C4—202no—
667C2×C4—304no—
668C2×C4—301no—
669C2×C4—301no—
670C2×C4—602no—
671C2×C4D5×#6711yescharacteristic
672C2×C4D5×#6711yescharacteristic
673C2×C4C22×D3×D511yescharacteristic
674C8—32no—
675C8—61no—
676C8—152no—
677C8—301no—
678C2×C3—42no—
679C2×C3—102no—
680C2×C3C4×D4×D511yescharacteristic
681C2×C3C2×#406111yescharacteristic
682C2×C3#6610211yescharacteristic
683C5C4×#95111yescharacteristic, complemented, Sylow
684C22—22no—
685C22—41no—
686C22—41no—
687C22—52no—
688C22—101no—
689C22—101no—
690C22C2×D5×#6711yescharacteristic
691C4—21no—
692C4—41no—
693C4—52no—
694C4—62no—
695C4—101no—
696C4—102no—
697C4—101no—
698C4—121no—
699C4—201no—
700C4—302no—
701C4—601no—
702C4#9148412yesdirect product factor
703C4C2×C4×D3×D511yescharacteristic
704C4D5×#23511yescharacteristic
705C3C4×#406111yescharacteristic, complemented, Sylow
706C2—42no—
707C2—102no—
708C2C4×D5×#6711yescharacteristic
709C2C2×#9148411yescharacteristic
710C2#1175531511yescharacteristic
subgroupG/H
centerC2×C4D5×#67
commutatorC3×C4×C5C23×C4
FrattiniC2×C4C22×D3×D5
FittingC3×C4×C5×D4C22
socleC22×C3×C5C22×D4
prime radicalC2×C3×#711C22
cosocleC2×C3×C4×C5C24
hypercenterC4×D4D3×D5
hypocenterC3×C5C4×#137
LCSG ▷ C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C2×C4 ◁ C42 ◁ C4×D4

Complements

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

NH ≅ G/Ntype
3. C4×D5×Dic6C2semidirect
4. C4×#6716C2semidirect
5. C4×C5×#214C2semidirect
6. #11749004C2semidirect
7. #11749001C2semidirect
9. #11747487C2semidirect
10. #11747269C2semidirect
11. #11747262C2semidirect
12. #11747189C2semidirect
13. C4×#6662C2semidirect
14. C4×#6661C2semidirect
15. C4×#6649C2semidirect
33. #91484C4direct (N × H)
94. D5×Dic6C2×C4semidirect
98. #6716C2×C4semidirect
104. C5×#214C2×C4semidirect
126. #6662C2×C4semidirect
127. #6661C2×C4semidirect
129. #6649C2×C4semidirect
141. C4×#214D5semidirect
349. C3×C4×C5#137semidirect
396. #214C4×D5semidirect
550. C4×C5#951semidirect
613. C3×C5C4×#137semidirect
628. C3×C4#4061semidirect
683. C5C4×#951semidirect
702. C4#91484direct (N × H)
705. C3C4×#4061semidirect

Maximal subgroups

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

subgroupindex
C3×C4×#7112
C2×#914842
C4×D5×Dic62
C4×#67162
C4×C5×#2142
#117490042
#117490012
#117489512
#117474872
#117472692
#117472622
#117471892
C4×#66622
C4×#66612
C4×#66492
C4×#40613
C4×#9515