Finite Group Databasebeta

← C4×#90508 #13513623

Subgroups — C4×#90508 #13513623

Order 1792.

3232 conjugacy classes of subgroups.

The subgroup lattice has 660 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C4×C7×Q8C211yesmaximal, characteristic, complemented
2C2×#90508C211yesmaximal, characteristic
3C2×C4×#1161C211yesmaximal, characteristic, complemented
4Q8×C22⋊Dic7C211yesmaximal, characteristic, complemented
5C4×#6509C213yesmaximal, complemented
6#11739911C213yesmaximal, complemented
7#11739909C213yesmaximal, complemented
8#11739906C211yesmaximal, characteristic, complemented
9#11739902C211yesmaximal, characteristic, complemented
10C4×#6510C213yesmaximal, complemented
11C4×Q8×Dic7C211yesmaximal, characteristic, complemented
12#11739608C213yesmaximal, complemented
13#11739606C213yesmaximal, complemented
14C4×#6493C213yesmaximal, complemented
15C42×C22⋊D7C213yesmaximal, complemented
16C23×C7×Q8C2211yescharacteristic
17C22×#1161C2211yescharacteristic
18C2×C4×C7×Q8—28no—
19C2×C4×C7×Q8C2211yescharacteristic
20C2×C4×C7×Q8C2213yes—
21C2×C4×C7×Q8C2213yes—
22C2×C4×C7×Q8C2211yescharacteristic
23C22×C7×C4⋊C4C2213yes—
24C22×C42×C7C2213yes—
25#90508C4116yesdirect product factor
26C2×#6510C2213yes—
27C2×#6509C2213yes—
28C2×Q8×Dic7C2211yescharacteristic
29C2×Q8×Dic7C2211yescharacteristic
30C2×Q8×Dic7C2211yescharacteristic
31C2×#6493C2213yes—
32C2×C4×C22⋊D7C2213yes—
33C2×C4×C22⋊D7C2213yes—
34C2×C4×C22⋊D7C2213yes—
35C4×#1161—28no—
36C2×#6456C2213yes—
37C2×#6455C2213yes—
38C2×C4×D28C2213yes—
39C2×C42×D7C2213yes—
40#90002C2213yes—
41#90002C2213yes—
42#89985C2216yes—
43#89984C2213yes—
44C4×C22⋊Dic7C2213yes—
45C4×C22⋊Dic7C2211yescharacteristic
46C4×C22⋊Dic7C2213yes—
47#89762C2216yes—
48#89762C2216yes—
49#89761C2216yes—
50#89760C2213yes—
51#89759C2213yes—
52#89750C2216yes—
53#89749C2213yes—
54C4⋊C4×Dic7C2213yes—
55C4⋊C4×Dic7C2213yes—
56#89745C2213yes—
57#89712C2216yes—
58#89711C2213yes—
59C4×(C2×D7)⋊C4C2213yes—
60C4×(C2×D7)⋊C4C2213yes—
61C4×(C2×D7)⋊C4C2216yes—
62C4×(C2×D7)⋊C4C2213yes—
63C4×C4⋊Dic7C2213yes—
64C4×Dic7⋊C4C2213yes—
65C4×Dic7⋊C4C2213yes—
66C4×Dic7⋊C4C2213yes—
67C42×Dic7C2213yes—
68#89700C2213yes—
69C4×#548—71nomaximal, Sylow
70C22×C7×Q8—24no—
71C22×C7×Q8—24no—
72C22×C7×Q8C2×C418yescomplemented
73C22×C7×Q8C2313yes—
74C22×C7×Q8C2311yescharacteristic
75C23×C4×C7C2313yes—
76C23×C4×C7C2313yes—
77C23×C4×C7C2311yescharacteristic
78C22×C22⋊D7C2313yes—
79C2×#1161—24no—
80C2×#1161—24no—
81C2×#1161C2×C418yescomplemented
82C22×D28C2313yes—
83C22×C4×D7C2313yes—
84C22×C4×D7C2313yes—
85C22×C4×D7C2313yes—
86C4×C7×Q8—24no—
87C4×C7×Q8—212no—
88C4×C7×Q8—212no—
89C4×C7×Q8D418yescomplemented
90C2×C7×C4⋊C4—212no—
91C2×C7×C4⋊C4C2313yes—
92C2×C7×C4⋊C4C2316yes—
93C2×C7×C4⋊C4C2313yes—
94C2×C42×C7—212no—
95C2×C42×C7C2313yes—
96C2×C42×C7C2313yes—
97C2×C42×C7C2313yes—
98C2×C42×C7C2313yes—
99C2×C22⋊Dic7C2313yes—
100C2×C22⋊Dic7C2311yescharacteristic
101C2×C22⋊Dic7C2311yescharacteristic
102#6510C2×C4124yescomplemented
103#6509C2×C4124yescomplemented
104Q8×Dic7—24no—
105Q8×Dic7—24no—
106Q8×Dic7C2×C418yescomplemented
107#6493C2×C4124yescomplemented
108C4×C22⋊D7—212no—
109C4×C22⋊D7—212no—
110C4×C22⋊D7C2×C4124yescomplemented
111C2×(C2×D7)⋊C4C2316yes—
112C2×(C2×D7)⋊C4C2313yes—
113C2×(C2×D7)⋊C4C2313yes—
114C2×(C2×D7)⋊C4C2316yes—
115C2×(C2×D7)⋊C4C2313yes—
116C2×(C2×D7)⋊C4C2316yes—
117C2×C4⋊Dic7C2313yes—
118C2×C4⋊Dic7C2313yes—
119C2×C4⋊Dic7C2313yes—
120C2×Dic7⋊C4C2313yes—
121C2×Dic7⋊C4C2313yes—
122C2×Dic7⋊C4C2313yes—
123C2×C4×Dic7C2311yescharacteristic
124C2×C4×Dic7C2313yes—
125C2×C4×Dic7C2313yes—
126C2×C4×Dic7C2311yescharacteristic
127C2×C4×Dic7C2313yes—
128C2×C4×Dic7C2313yes—
129C2×C4×Dic7C2313yes—
130C2×C4×Dic7C2313yes—
131C2×C4×Dic7C2313yes—
132#6456—212no—
133#6455—212no—
134C4×D28—212no—
135C42×D7—212no—
136C7⋊#95C2316yes—
137C7⋊#95C2311yescharacteristic
138C7⋊#95C2311yescharacteristic
139C7⋊#95C2313yes—
140C7⋊#95C2313yes—
141C7⋊#95C2313yes—
142C7⋊#95C2313yes—
143C7⋊#95C2316yes—
144C7⋊#95C2316yes—
145C2×#548—71no—
146C2×C4×#41—71no—
147C22×C4×Q8D711yescharacteristic, complemented
148#2367—73no—
149#2362—73no—
150#2361—73no—
151#2352—73no—
152#2351—71no—
153#2341—71no—
154Q8×C22⋊C4—71no—
155C4×#124—73no—
156C4×C22⋊Q8—73no—
157C4×#121—73no—
158C42×Q8—71no—
159C42×D4—73no—
160C24×C7C2411yescharacteristic
161C23×D7C2413yes—
162C2×C7×Q8—232no—
163C2×C7×Q8—26no—
164C2×C7×Q8—26no—
165C2×C7×Q8C22×C4112yes—
166C2×C7×Q8C22×C414yes—
167C2×C7×Q8C2×D414yes—
168C2×C7×Q8#4114yes—
169C22×C4×C7—22no—
170C22×C4×C7—26no—
171C22×C4×C7—26no—
172C22×C4×C7—22no—
173C22×C4×C7—26no—
174C22×C4×C7—26no—
175C22×C4×C7—43no—
176C22×C4×C7C22×C4112yes—
177C22×C4×C7#4114yescomplemented
178C22×C4×C7C2413yes—
179C22×C4×C7C2413yes—
180C22×C4×C7C2413yes—
181C22×C4×C7C2411yescharacteristic
182C22×C4×C7C2413yes—
183C22×C4×C7C2411yescharacteristic
184C2×C22⋊D7—26no—
185C2×C22⋊D7—26no—
186C2×C22⋊D7C22×C4112yes—
187C22×Dic7C2413yes—
188C22×Dic7C2413yes—
189C22×Dic7C2411yescharacteristic
190C22×Dic7C2411yescharacteristic
191C22×Dic7C2413yes—
192C22×Dic7C2411yescharacteristic
193C22×Dic7C2411yescharacteristic
194#1161—232no—
195C2×D28—26no—
196C2×D28—26no—
197C2×D28C22×C4112yes—
198C2×C4×D7—26no—
199C2×C4×D7—26no—
200C2×C4×D7—26no—
201C2×C4×D7—26no—
202C2×C4×D7—26no—
203C2×C4×D7—26no—
204C2×C4×D7—26no—
205C2×C4×D7—43no—
206C2×C4×D7C22×C4112yes—
207C7×C4⋊C4—212no—
208C7×C4⋊C4—26no—
209C7×C4⋊C4C2×D4112yes—
210C42×C7—26no—
211C42×C7—26no—
212C42×C7—26no—
213C42×C7C2×D4112yes—
214C22⋊Dic7—26no—
215C22⋊Dic7C22×C414yes—
216C22⋊Dic7#4114yescomplemented
217(C2×D7)⋊C4—212no—
218(C2×D7)⋊C4—26no—
219(C2×D7)⋊C4—26no—
220(C2×D7)⋊C4—46no—
221(C2×D7)⋊C4C22×C4112yes—
222(C2×D7)⋊C4C22×C4124yes—
223C4⋊Dic7—26no—
224C4⋊Dic7—26no—
225C4⋊Dic7C22×C4112yes—
226Dic7⋊C4—26no—
227Dic7⋊C4—26no—
228Dic7⋊C4C22×C4112yes—
229C4×Dic7—22no—
230C4×Dic7—26no—
231C4×Dic7—26no—
232C4×Dic7—26no—
233C4×Dic7—26no—
234C4×Dic7—22no—
235C4×Dic7—26no—
236C4×Dic7—43no—
237C4×Dic7C22×C4112yes—
238C22×#41—71no—
239C23×Q8C2×D711yescharacteristic
240#548—716no—
241C2×#124—73no—
242C2×C22⋊Q8—73no—
243C2×#121—73no—
244C4×#41—148no—
245C2×C4×Q8—28no—
246C2×C4×Q8—71no—
247C2×C4×Q8—71no—
248C2×C4×Q8—71no—
249C2×C4×Q8C2×D711yescharacteristic
250C2×C4×Q8C2×D713yes—
251C2×C4×Q8C2×D713yes—
252C2×C4×Q8C2×D711yescharacteristic
253C2×C4×D4—73no—
254C2×C4×D4—73no—
255C2×C4×D4—73no—
256C2×C4×D4—73no—
257C2×C4×D4—73no—
258C2×#117—73no—
259C22×C4⋊C4C2×D713yes—
260C22×C42—73no—
261C22×C42C2×D713yes—
262#391—73no—
263#391—73no—
264#390—73no—
265#390—73no—
266#389—73no—
267#389—73no—
268#388—76no—
269#388—76no—
270#388—76no—
271#387—76no—
272#386—76no—
273#385—76no—
274#382—73no—
275#380—73no—
276#380—73no—
277C4×C4⋊C4—73no—
278C4×C4⋊C4—73no—
279C4×C4⋊C4—73no—
280C4×C4⋊C4—73no—
281C4×C4⋊C4—73no—
282C4×C4⋊C4—73no—
283C4×C22⋊C4—73no—
284C4×C22⋊C4—73no—
285C4×C22⋊C4—71no—
286C4×C22⋊C4—73no—
287C4×C22⋊C4—73no—
288C4×C22⋊C4—73no—
289C4×C22⋊C4—76no—
290C43—73no—
291C23×C7—21no—
292C23×C7—21no—
293C23×C7—21no—
294C23×C7—21no—
295C23×C7C23×C412yes—
296C23×C7C2×#4112yes—
297C23×C7C2×#4112yes—
298C23×C7C2511yescharacteristic
299C22×D7—23no—
300C22×D7—23no—
301C22×D7—23no—
302C22×D7—23no—
303C22×D7—23no—
304C22×D7—23no—
305C22×D7C23×C416yes—
306C7×Q8—224no—
307C7×Q8C4×D4116yescomplemented
308C2×C4×C7—21no—
309C2×C4×C7—23no—
310C2×C4×C7—23no—
311C2×C4×C7—23no—
312C2×C4×C7—21no—
313C2×C4×C7—23no—
314C2×C4×C7—224no—
315C2×C4×C7—28no—
316C2×C4×C7—23no—
317C2×C4×C7—23no—
318C2×C4×C7—23no—
319C2×C4×C7—412no—
320C2×C4×C7C23×C416yes—
321C2×C4×C7C23×C416yes—
322C2×C4×C7C22×D416yes—
323C2×C4×C7C22×D416yes—
324C2×C4×C7C22×D412yes—
325C2×C4×C7C2×#4116yes—
326C2×C4×C7C2×#4112yes—
327C2×C4×C7C2×#4112yes—
328C2×C4×C72−1+412yes—
329C22⋊D7—224no—
330C2×Dic7—21no—
331C2×Dic7—21no—
332C2×Dic7—21no—
333C2×Dic7—23no—
334C2×Dic7—23no—
335C2×Dic7—21no—
336C2×Dic7—21no—
337C2×Dic7—21no—
338C2×Dic7—21no—
339C2×Dic7—21no—
340C2×Dic7—23no—
341C2×Dic7—23no—
342C2×Dic7—23no—
343C2×Dic7—23no—
344C2×Dic7—23no—
345C2×Dic7—23no—
346C2×Dic7C23×C412yes—
347C2×Dic7C23×C416yes—
348C2×Dic7C23×C412yes—
349C2×Dic7C2×#4112yes—
350C2×Dic7C2×#4112yes—
351D28—224no—
352C4×D7—224no—
353C4×D7—412no—
354C4×D7—412no—
355C2×#41—78no—
356C2×#41—144no—
357C2×#41—144no—
358C22×Q8—24no—
359C22×Q8—24no—
360C22×Q8C4×D718yescomplemented
361C22×Q8C22×D713yes—
362C22×Q8C22×D711yescharacteristic
363C22×D4—73no—
364C22×D4—73no—
365C23×C4—73no—
366C23×C4—73no—
367C23×C4—73no—
368C23×C4C22×D713yes—
369C23×C4C22×D713yes—
370C23×C4C22×D711yescharacteristic
371#124—724no—
372C22⋊Q8—724no—
373#121—724no—
374C4×Q8—24no—
375C4×Q8—212no—
376C4×Q8—212no—
377C4×Q8—78no—
378C4×Q8—144no—
379C4×Q8—144no—
380C4×Q8C22⋊D718yescomplemented
381C4×D4—724no—
382C4×D4—1412no—
383C4×D4—1412no—
384C4×D4—1412no—
385C4×D4—1412no—
386#117—1412no—
387C2×C4⋊C4—212no—
388C2×C4⋊C4—73no—
389C2×C4⋊C4—73no—
390C2×C4⋊C4—73no—
391C2×C4⋊C4—73no—
392C2×C4⋊C4—73no—
393C2×C4⋊C4—73no—
394C2×C4⋊C4C22×D713yes—
395C2×C4⋊C4C22×D716yes—
396C2×C4⋊C4C22×D713yes—
397C2×C22⋊C4—71no—
398C2×C22⋊C4—71no—
399C2×C22⋊C4—73no—
400C2×C22⋊C4—76no—
401C2×C22⋊C4—73no—
402C2×C22⋊C4—76no—
403C2×C22⋊C4—73no—
404C2×C22⋊C4—73no—
405C2×C22⋊C4—76no—
406C2×C42—212no—
407C2×C42—73no—
408C2×C42—73no—
409C2×C42—73no—
410C2×C42—73no—
411C2×C42—73no—
412C2×C42—73no—
413C2×C42—71no—
414C2×C42—71no—
415C2×C42—73no—
416C2×C42—1412no—
417C2×C42C22×D713yes—
418C2×C42C22×D713yes—
419C2×C42C22×D713yes—
420C2×C42C22×D713yes—
421#95—71no—
422#95—71no—
423#95—73no—
424#95—73no—
425#95—73no—
426#95—73no—
427#95—76no—
428#95—76no—
429#95—76no—
430C22×C7—22no—
431C22×C7—22no—
432C22×C7—22no—
433C22×C7—22no—
434C22×C7—22no—
435C22×C7—22no—
436C22×C7C4×#4114yescomplemented
437C22×C7C24×C411yescharacteristic
438C22×C7C23×D411yescharacteristic
439C22×C7C22×#4111yescharacteristic
440C22×C7C22×#4111yescharacteristic
441C22×C7C22×#4111yescharacteristic
442C22×C7C2×2−1+411yescharacteristic
443C22×C7#58511yescharacteristic
444C2×D7—26no—
445C2×D7—26no—
446C2×D7—26no—
447C2×D7—43no—
448C2×D7—43no—
449C2×D7—43no—
450C2×D7—43no—
451C4×C7—26no—
452C4×C7—22no—
453C4×C7—26no—
454C4×C7—43no—
455C4×C7C2×C4×D4112yes—
456C4×C7#54814yescomplemented
457Dic7—22no—
458Dic7—26no—
459Dic7—22no—
460Dic7—22no—
461Dic7—22no—
462Dic7—43no—
463Dic7—43no—
464C24—73no—
465C24C23×D711yescharacteristic
466#41—1432no—
467C2×Q8—232no—
468C2×Q8—26no—
469C2×Q8—26no—
470C2×Q8C2×C4×D7112yes—
471C2×Q8C2×C4×D714yes—
472C2×Q8#115714yes—
473C2×Q8C2×C22⋊D714yes—
474C2×D4—712no—
475C2×D4—712no—
476C2×D4—146no—
477C2×D4—146no—
478C2×D4—146no—
479C2×D4—146no—
480C22×C4—26no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—26no—
484C22×C4—26no—
485C22×C4—26no—
486C22×C4—43no—
487C22×C4—71no—
488C22×C4—71no—
489C22×C4—71no—
490C22×C4—71no—
491C22×C4—73no—
492C22×C4—712no—
493C22×C4—73no—
494C22×C4—73no—
495C22×C4—146no—
496C22×C4—146no—
497C22×C4—146no—
498C22×C4—146no—
499C22×C4—146no—
500C22×C4—146no—
501C22×C4—146no—
502C22×C4—283no—
503C22×C4C2×C4×D7112yes—
504C22×C4#116114yescomplemented
505C22×C4C23×D713yes—
506C22×C4C23×D713yes—
507C22×C4C23×D711yescharacteristic
508C22×C4C23×D713yes—
509C22×C4C23×D713yes—
510C22×C4C23×D711yescharacteristic
511C4⋊C4—212no—
512C4⋊C4—26no—
513C4⋊C4—712no—
514C4⋊C4—712no—
515C4⋊C4—146no—
516C4⋊C4—146no—
517C4⋊C4—146no—
518C4⋊C4—146no—
519C4⋊C4C2×C22⋊D7112yes—
520C22⋊C4—74no—
521C22⋊C4—74no—
522C22⋊C4—712no—
523C22⋊C4—724no—
524C22⋊C4—146no—
525C22⋊C4—146no—
526C22⋊C4—146no—
527C22⋊C4—1412no—
528C22⋊C4—286no—
529C42—26no—
530C42—26no—
531C42—26no—
532C42—712no—
533C42—146no—
534C42—146no—
535C42—146no—
536C42—142no—
537C42—142no—
538C42—146no—
539C42—146no—
540C42—283no—
541C42C2×C22⋊D7112yes—
542C2×C7—24no—
543C2×C7C22×C4×D411yescharacteristic
544C2×C7C2×C4×#4111yescharacteristic
545C2×C7C4×2−1+411yescharacteristic
546C2×C7C2×#54811yescharacteristic
547C2×C7D4×#4111yescharacteristic
548C2×C7#348011yescharacteristic
549C2×C7#348211yescharacteristic
550D7—46no—
551C23—21no—
552C23—21no—
553C23—21no—
554C23—21no—
555C23—76no—
556C23—143no—
557C23—143no—
558C23—143no—
559C23—143no—
560C23—143no—
561C23—143no—
562C23C22×C4×D712yes—
563C23C2×#116112yes—
564C23D7×#4112yes—
565C23C24×D711yescharacteristic
566Q8—224no—
567Q8C4×C22⋊D7116yescomplemented
568D4—1424no—
569D4—1424no—
570C2×C4—23no—
571C2×C4—21no—
572C2×C4—23no—
573C2×C4—23no—
574C2×C4—21no—
575C2×C4—23no—
576C2×C4—224no—
577C2×C4—28no—
578C2×C4—23no—
579C2×C4—23no—
580C2×C4—23no—
581C2×C4—412no—
582C2×C4—72no—
583C2×C4—76no—
584C2×C4—72no—
585C2×C4—72no—
586C2×C4—72no—
587C2×C4—141no—
588C2×C4—141no—
589C2×C4—143no—
590C2×C4—141no—
591C2×C4—141no—
592C2×C4—143no—
593C2×C4—141no—
594C2×C4—141no—
595C2×C4—141no—
596C2×C4—141no—
597C2×C4—1424no—
598C2×C4—143no—
599C2×C4—143no—
600C2×C4—143no—
601C2×C4—143no—
602C2×C4—143no—
603C2×C4—143no—
604C2×C4—2812no—
605C2×C4—2812no—
606C2×C4C22×C4×D716yes—
607C2×C4C22×C4×D716yes—
608C2×C4C2×#115716yes—
609C2×C4C2×#116112yes—
610C2×C4C2×#116112yes—
611C2×C4#655112yes—
612C2×C4C22×C22⋊D716yes—
613C2×C4C22×C22⋊D716yes—
614C2×C4C22×C22⋊D712yes—
615C7C4×#54811yescharacteristic, complemented, Sylow
616C22—22no—
617C22—22no—
618C22—22no—
619C22—22no—
620C22—22no—
621C22—22no—
622C22—146no—
623C22—146no—
624C22—146no—
625C22—283no—
626C22—283no—
627C22—283no—
628C22—283no—
629C22C4×#116114yescomplemented
630C22C23×C4×D711yescharacteristic
631C22C22×#115711yescharacteristic
632C22C22×#116111yescharacteristic
633C22C2×#655111yescharacteristic
634C22C2×D7×#4111yescharacteristic
635C22#9061611yescharacteristic
636C22C23×C22⋊D711yescharacteristic
637C4—26no—
638C4—22no—
639C4—26no—
640C4—43no—
641C4—142no—
642C4—142no—
643C4—146no—
644C4—142no—
645C4—142no—
646C4—283no—
647C4—283no—
648C4C2×C4×C22⋊D7112yes—
649C4#9050814yesdirect product factor
650C2—24no—
651C2—286no—
652C2C2×C4×#116111yescharacteristic
653C2C4×#655111yescharacteristic
654C2#1174287011yescharacteristic
655C2#1174288511yescharacteristic
656C2C22×C4×C22⋊D711yescharacteristic
657C2C2×#9050811yescharacteristic
658C2#41×C22⋊D711yescharacteristic
subgroupG/H
centerC22×C4C23×D7
commutatorC22×C7C24×C4
FrattiniC23C24×D7
FittingC22×C4×C7×Q8C2
socle, cosocleC23×C7C25
prime radicalC2×#90508C2
hypercenterC22×C4×Q8D7
hypocenterC7C4×#548
LCSG ▷ C22×C7 ▷ C7
UCSC1 ◁ C22×C4 ◁ C22×C4×Q8

Complements

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

NH ≅ G/Ntype
1. C22×C4×C7×Q8C2semidirect
3. C2×C4×#1161C2semidirect
4. Q8×C22⋊Dic7C2semidirect
5. C4×#6509C2semidirect
6. #11739911C2semidirect
7. #11739909C2semidirect
8. #11739906C2semidirect
9. #11739902C2semidirect
10. C4×#6510C2semidirect
11. C4×Q8×Dic7C2semidirect
12. #11739608C2semidirect
13. #11739606C2semidirect
14. C4×#6493C2semidirect
15. C42×C22⋊D7C2semidirect
25. #90508C4direct (N × H)
72. C22×C7×Q8C2×C4semidirect
81. C2×#1161C2×C4semidirect
89. C4×C7×Q8D4semidirect
102. #6510C2×C4semidirect
103. #6509C2×C4semidirect
106. Q8×Dic7C2×C4semidirect
107. #6493C2×C4semidirect
110. C4×C22⋊D7C2×C4semidirect
147. C22×C4×Q8D7semidirect
177. C22×C4×C7#41semidirect
216. C22⋊Dic7#41semidirect
307. C7×Q8C4×D4semidirect
360. C22×Q8C4×D7semidirect
380. C4×Q8C22⋊D7semidirect
436. C22×C7C4×#41semidirect
456. C4×C7#548semidirect
504. C22×C4#1161semidirect
567. Q8C4×C22⋊D7semidirect
615. C7C4×#548semidirect
629. C22C4×#1161semidirect
649. C4#90508direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C4×C7×Q82
C2×#905082
C2×C4×#11612
Q8×C22⋊Dic72
C4×#65092
#117399112
#117399092
#117399062
#117399022
C4×#65102
C4×Q8×Dic72
#117396082
#117396062
C4×#64932
C42×C22⋊D72
C4×#5487