Finite Group Databasebeta

← C4×D7×H(5,𝔽2) #14260395

Subgroups — C4×D7×H(5,𝔽2) #14260395

Order 1792.

12378 conjugacy classes of subgroups.

The subgroup lattice has 536 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D7×H(5,𝔽2)C211yesmaximal, characteristic
2C4×C7×H(5,𝔽2)C211yesmaximal, characteristic, complemented
3Dic7×H(5,𝔽2)C211yesmaximal, characteristic, complemented
4D7×#520C216yesmaximal, complemented
5#11742954C216yesmaximal, complemented
6D7×#518C219yesmaximal, complemented
7#11742925C219yesmaximal, complemented
8C4×#6553C216yesmaximal, complemented
9C4×D7×#41C216yesmaximal, complemented
10C2×C4×D4×D7C219yesmaximal, complemented
11C4×#6548C219yesmaximal, complemented
12C2×C7×H(5,𝔽2)C2211yescharacteristic
13D7×H(5,𝔽2)C4132yesdirect product factor
14C2×#6553C2216yes—
15C2×D7×#41C2216yes—
16C2×#6548C2219yes—
17C22×D4×D7C2219yes—
18C23×C4×D7C2216yescomplemented
19C7×#520C2216yescomplemented
20C7×#518C2219yescomplemented
21C4×C7×#41C2216yescomplemented
22C2×C4×C7×D4C2219yescomplemented
23#90518C2216yescomplemented
24#41×Dic7C2216yescomplemented
25#90489C2219yescomplemented
26C2×D4×Dic7C2219yescomplemented
27C2×C4×C22⋊D7C22118yescomplemented
28#90265C22112yescomplemented
29C4×#1161C2216yescomplemented
30C4×#1161C2216yescomplemented
31C4×Q8×D7C2212yescomplemented
32C4×Q8×D7C2216yescomplemented
33#90237C22136yescomplemented
34#90236C22136yescomplemented
35#90236C22136yescomplemented
36C4×D4×D7C22118yescomplemented
37C4×D4×D7C22136yescomplemented
38C4×D4×D7C22118yescomplemented
39C4×D4×D7C22136yescomplemented
40C4×D4×D7C22136yescomplemented
41C4×#1159C22118yescomplemented
42C4×#1159C22118yescomplemented
43#90214C22118yescomplemented
44#90213C22118yescomplemented
45#90212C22118yescomplemented
46D7×#117C22118yescomplemented
47#90195C22118yescomplemented
48C2×#6456C2219yescomplemented
49C2×D7×C4⋊C4C2219yescomplemented
50#90177C22136yescomplemented
51C2×(C22⋊D7)⋊C4C22118yescomplemented
52C2×D7×C22⋊C4C22118yescomplemented
53C4×#1157C22118yescomplemented
54C2×C4×D28C2219yescomplemented
55C2×C42×D7C2219yescomplemented
56C2×C4×H(5,𝔽2)—71nomaximal, Sylow
57C24×D7C2316yes—
58C7×H(5,𝔽2)C2×C4116yescomplemented
59C2×C7×#41C2316yes—
60C22×C7×D4C2319yes—
61C23×C4×C7C2316yescomplemented
62C22×C22⋊D7C23118yes—
63C23×Dic7C2316yescomplemented
64#6553C2×C4196yescomplemented
65D7×#41C2×C4196yescomplemented
66C2×#1161C2316yes—
67C2×Q8×D7C2312yes—
68#6548C2×C41144yescomplemented
69C2×#1159C23118yes—
70C2×D4×D7C2×C41144yescomplemented
71C2×D4×D7C23118yes—
72C2×D4×D7C23136yes—
73C2×#1157C23118yes—
74C22×D28C2319yes—
75C22×C4×D7—424no—
76C22×C4×D7C2319yes—
77C22×C4×D7C2319yes—
78C22×C4×D7C23118yes—
79C22×C4×D7C2319yes—
80C22×C4×D7C23118yescomplemented
81C22×C4×D7C23118yescomplemented
82C4×C7×Q8C2312yescomplemented
83C4×C7×Q8C2316yescomplemented
84C4×C7×D4C23118yescomplemented
85C4×C7×D4C23118yescomplemented
86C4×C7×D4C23136yescomplemented
87C7×#117C23118yescomplemented
88C2×C7×C4⋊C4C2319yescomplemented
89C2×C7×C22⋊C4C23118yescomplemented
90C2×C42×C7C2319yescomplemented
91C2×C22⋊Dic7C23118yescomplemented
92Q8×Dic7C2312yescomplemented
93Q8×Dic7C2316yescomplemented
94D4×Dic7C23118yescomplemented
95D4×Dic7C23118yescomplemented
96D4×Dic7C23136yescomplemented
97C4×C22⋊D7C23136yescomplemented
98C4×C22⋊D7C23136yescomplemented
99C4×C22⋊D7C23172yescomplemented
100C2×(C2×D7)⋊C4C23118yescomplemented
101C2×(C2×D7)⋊C4C23118yescomplemented
102#6489C23118yescomplemented
103C2×C4⋊Dic7C2319yescomplemented
104C2×Dic7⋊C4C23118yescomplemented
105C2×C4×Dic7C2319yescomplemented
106C2×C4×Dic7C2319yescomplemented
107C2×C4×Dic7C2319yescomplemented
108#6456C23118yescomplemented
109#6456C23136yescomplemented
110#6456C23118yescomplemented
111#6455C23118yescomplemented
112#6455C23118yescomplemented
113D7×C4⋊C4C23118yes—
114D7×C4⋊C4C2316yes—
115D7×C4⋊C4C23136yescomplemented
116#6450C23118yescomplemented
117#6450C2316yescomplemented
118(C22⋊D7)⋊C4C23136yescomplemented
119(C22⋊D7)⋊C4C23172yescomplemented
120(C22⋊D7)⋊C4C23136yescomplemented
121D7×C22⋊C4C23136yes—
122D7×C22⋊C4C23172yescomplemented
123#6440C23136yescomplemented
124C4×D28C23118yescomplemented
125C4×D28C23136yescomplemented
126C4×D28C23118yescomplemented
127#6435C23136yescomplemented
128C42×D7C2316yes—
129C42×D7C23118yes—
130C42×D7C23118yescomplemented
131C42×D7C23118yescomplemented
132C4×Dic14C2316yescomplemented
133C4×Dic14C23118yescomplemented
134C22×H(5,𝔽2)—71no—
135C4×H(5,𝔽2)—71no—
136C4×H(5,𝔽2)—76no—
137C4×H(5,𝔽2)—79no—
138C4×H(5,𝔽2)—76no—
139C4×H(5,𝔽2)—79no—
140C4×H(5,𝔽2)D711yescharacteristic, direct product factor
141C2×#520—76no—
142C2×#518—79no—
143C2×C4×#41—76no—
144C22×C4×D4—79no—
145C24×C7C2416yes—
146C23×D7—412no—
147C23×D7—412no—
148C23×D7C22×C4148yescomplemented
149C23×D7C2419yes—
150C23×D7C24118yes—
151C7×#41C22×C4148yescomplemented
152C2×C7×Q8C2412yes—
153C2×C7×D4C22×C4172yescomplemented
154C2×C7×D4C24118yes—
155C22×C4×C7—412no—
156C22×C4×C7C2419yes—
157C22×C4×C7C2419yes—
158C22×C4×C7C24118yes—
159C22×C4×C7C2419yes—
160C2×C22⋊D7C22×C41144yescomplemented
161C2×C22⋊D7C24136yes—
162C22×Dic7—412no—
163C22×Dic7C2419yes—
164C22×Dic7C2419yes—
165C22×Dic7C24118yes—
166C22×Dic7C2419yes—
167#1161C22×C4148yescomplemented
168Q8×D7C22×C4116yescomplemented
169#1159C22×C41144yescomplemented
170D4×D7C22×C41144yescomplemented
171D4×D7C22×C41288yescomplemented
172#1157C22×C41144yescomplemented
173C2×D28C22×C4172yescomplemented
174C2×D28C24118yes—
175C2×C4×D7—236no—
176C2×C4×D7—436no—
177C2×C4×D7—436no—
178C2×C4×D7—436no—
179C2×C4×D7—418no—
180C2×C4×D7C22×C4172yescomplemented
181C2×C4×D7C2416yes—
182C2×C4×D7C2419yes—
183C2×C4×D7C2419yes—
184C2×C4×D7C2419yes—
185C2×C4×D7C24118yes—
186C2×C4×D7C24136yes—
187C2×C4×D7C2416yes—
188C2×C4×D7C24118yes—
189C2×C4×D7C2411yescharacteristic
190C2×Dic14C2416yes—
191C7×C4⋊C4C24118yes—
192C7×C4⋊C4C2416yes—
193C7×C22⋊C4C24136yes—
194C42×C7C2416yes—
195C42×C7C24118yes—
196C22⋊Dic7C24136yes—
197(C2×D7)⋊C4C24136yes—
198(C2×D7)⋊C4C24136yes—
199C4⋊Dic7C24118yes—
200C4⋊Dic7C2416yes—
201Dic7⋊C4C24112yes—
202Dic7⋊C4C24136yes—
203C4×Dic7C2416yes—
204C4×Dic7C24118yes—
205C4×Dic7C2416yes—
206C4×Dic7C2416yes—
207C4×Dic7C24118yes—
208C4×Dic7C24118yes—
209C2×H(5,𝔽2)—732no—
210C2×H(5,𝔽2)—76no—
211C2×H(5,𝔽2)—79no—
212C2×H(5,𝔽2)C2×D711yescharacteristic
213C22×#41—76no—
214C23×D4—79no—
215C24×C4—76no—
216#520—76no—
217#520—712no—
218#520—736no—
219#520—718no—
220#520—718no—
221#520C2×D716yescomplemented
222#518—79no—
223#518—736no—
224#518—736no—
225#518—718no—
226#518—736no—
227#518C2×D719yescomplemented
228C4×#41—76no—
229C4×#41—76no—
230C4×#41—76no—
231C4×#41—718no—
232C4×#41—718no—
233C4×#41—718no—
234C4×#41—718no—
235C4×#41C2×D716yescomplemented
236C2×C4×Q8—72no—
237C2×C4×Q8—76no—
238C2×C4×D4—79no—
239C2×C4×D4—718no—
240C2×C4×D4—718no—
241C2×C4×D4—736no—
242C2×C4×D4—736no—
243C2×C4×D4—736no—
244C2×C4×D4—718no—
245C2×C4×D4—79no—
246C2×C4×D4—718no—
247C2×C4×D4—79no—
248C2×C4×D4C2×D719yescomplemented
249C2×#117—718no—
250C22×C4⋊C4—79no—
251C22×C22⋊C4—718no—
252C22×C42—79no—
253C23×C7—46no—
254C23×C7—46no—
255C23×C7C23×C4124yescomplemented
256C23×C7C2519yes—
257C22×D7—218no—
258C22×D7—218no—
259C22×D7—496no—
260C22×D7—418no—
261C22×D7—418no—
262C22×D7C23×C4136yes—
263C22×D7C23×C4172yescomplemented
264C22×D7C2519yes—
265C22×D7C2511yescharacteristic
266C7×Q8C23×C418yescomplemented
267C7×D4C23×C4172yescomplemented
268C2×C4×C7—218no—
269C2×C4×C7—418no—
270C2×C4×C7—49no—
271C2×C4×C7C23×C4136yescomplemented
272C2×C4×C7C2516yes—
273C2×C4×C7C2519yes—
274C2×C4×C7C2516yes—
275C2×C4×C7C2511yescharacteristic
276C22⋊D7C23×C41144yescomplemented
277C2×Dic7—218no—
278C2×Dic7—418no—
279C2×Dic7—49no—
280C2×Dic7C23×C4136yescomplemented
281C2×Dic7C2516yes—
282C2×Dic7C2519yes—
283C2×Dic7C2516yes—
284C2×Dic7C2511yescharacteristic
285D28C23×C4172yescomplemented
286C4×D7—218no—
287C4×D7—212no—
288C4×D7—218no—
289C4×D7—218no—
290C4×D7—436no—
291C4×D7—418no—
292C4×D7C23×C4124yes—
293C4×D7C23×C4172yescomplemented
294C4×D7H(5,𝔽2)14yesdirect product factor
295Dic14C23×C4124yescomplemented
296C25—76no—
297H(5,𝔽2)—796no—
298H(5,𝔽2)—7144no—
299H(5,𝔽2)C4×D7116yesdirect product factor
300C2×#41—796no—
301C2×#41—76no—
302C2×#41—718no—
303C2×#41—718no—
304C2×#41C22×D716yes—
305C22×Q8—72no—
306C22×D4—718no—
307C22×D4—7144no—
308C22×D4—718no—
309C22×D4—736no—
310C22×D4—79no—
311C22×D4C22×D719yes—
312C23×C4—79no—
313C23×C4—76no—
314C23×C4—79no—
315C23×C4—79no—
316C23×C4—718no—
317C23×C4—718no—
318C23×C4—718no—
319C23×C4—2824no—
320C23×C4C22×D716yescomplemented
321C4×Q8—72no—
322C4×Q8—76no—
323C4×Q8—76no—
324C4×Q8—718no—
325C4×Q8—76no—
326C4×Q8—718no—
327C4×Q8C22×D712yescomplemented
328C4×Q8C22×D716yescomplemented
329C4×D4—718no—
330C4×D4—736no—
331C4×D4—718no—
332C4×D4—736no—
333C4×D4—772no—
334C4×D4—736no—
335C4×D4—718no—
336C4×D4—736no—
337C4×D4—718no—
338C4×D4—736no—
339C4×D4—772no—
340C4×D4—736no—
341C4×D4—718no—
342C4×D4—736no—
343C4×D4—718no—
344C4×D4C22×D7118yescomplemented
345C4×D4C22×D7136yescomplemented
346C4×D4C22×D7118yescomplemented
347#117—718no—
348#117—718no—
349#117—718no—
350#117—736no—
351#117—736no—
352#117C22×D7118yescomplemented
353C2×C4⋊C4—718no—
354C2×C4⋊C4—79no—
355C2×C4⋊C4—718no—
356C2×C4⋊C4—736no—
357C2×C4⋊C4—76no—
358C2×C4⋊C4C22×D719yescomplemented
359C2×C22⋊C4—718no—
360C2×C22⋊C4—718no—
361C2×C22⋊C4—718no—
362C2×C22⋊C4—736no—
363C2×C22⋊C4—772no—
364C2×C22⋊C4C22×D7118yescomplemented
365C2×C42—79no—
366C2×C42—79no—
367C2×C42—79no—
368C2×C42—718no—
369C2×C42—76no—
370C2×C42—718no—
371C2×C42—718no—
372C2×C42C22×D719yescomplemented
373C22×C7—29no—
374C22×C7—29no—
375C22×C7—424no—
376C22×C7C24×C4118yes—
377C22×C7C2611yescharacteristic
378C2×D7—29no—
379C2×D7—29no—
380C2×D7—272no—
381C2×D7—472no—
382C2×D7C24×C4118yes—
383C2×D7C24×C412yes—
384C2×D7C2×H(5,𝔽2)12yes—
385C2×D7#58512yes—
386C4×C7—29no—
387C4×C7—26no—
388C4×C7C24×C4112yes—
389C4×C7C2×H(5,𝔽2)12yescomplemented
390Dic7—29no—
391Dic7—26no—
392Dic7C24×C4112yes—
393Dic7C2×H(5,𝔽2)12yescomplemented
394C24—79no—
395C24—748no—
396C24—718no—
397C24—2812no—
398C24—2812no—
399C24C23×D716yes—
400#41—748no—
401#41—7144no—
402#41—7144no—
403#41C2×C4×D7148yescomplemented
404C2×Q8—716no—
405C2×Q8—76no—
406C2×Q8C23×D712yes—
407C2×D4—7144no—
408C2×D4—736no—
409C2×D4—7144no—
410C2×D4—7288no—
411C2×D4—772no—
412C2×D4—718no—
413C2×D4C2×C4×D7172yescomplemented
414C2×D4C23×D7118yes—
415C22×C4—412no—
416C22×C4—79no—
417C22×C4—772no—
418C22×C4—76no—
419C22×C4—718no—
420C22×C4—71no—
421C22×C4—79no—
422C22×C4—79no—
423C22×C4—718no—
424C22×C4—76no—
425C22×C4—79no—
426C22×C4—79no—
427C22×C4—79no—
428C22×C4—718no—
429C22×C4—736no—
430C22×C4—1436no—
431C22×C4—2836no—
432C22×C4—2836no—
433C22×C4—2818no—
434C22×C4—2836no—
435C22×C4—2812no—
436C22×C4C23×D719yes—
437C22×C4C23×D719yes—
438C22×C4C23×D7118yes—
439C22×C4C23×D719yes—
440C4⋊C4—736no—
441C4⋊C4—712no—
442C4⋊C4—718no—
443C4⋊C4—76no—
444C4⋊C4C23×D7118yes—
445C4⋊C4C23×D716yes—
446C22⋊C4—736no—
447C22⋊C4—736no—
448C22⋊C4—736no—
449C22⋊C4C23×D7136yes—
450C42—76no—
451C42—76no—
452C42—718no—
453C42—718no—
454C42—718no—
455C42—76no—
456C42C23×D7118yes—
457C42C23×D716yes—
458C2×C7—218no—
459C2×C7C25×C411yescharacteristic
460C2×C7C22×H(5,𝔽2)11yescharacteristic
461C2×C7C2×#58511yescharacteristic
462D7—218no—
463D7C4×H(5,𝔽2)14yesdirect product factor
464C23—46no—
465C23—46no—
466C23—71no—
467C23—79no—
468C23—736no—
469C23—772no—
470C23—1418no—
471C23—1418no—
472C23—2818no—
473C23—2818no—
474C23—2896no—
475C23C22×C4×D7124yescomplemented
476C23C24×D719yes—
477Q8—724no—
478Q8C22×C4×D718yescomplemented
479D4—7144no—
480D4—772no—
481D4C22×C4×D7172yescomplemented
482C2×C4—218no—
483C2×C4—418no—
484C2×C4—49no—
485C2×C4—71no—
486C2×C4—76no—
487C2×C4—736no—
488C2×C4—724no—
489C2×C4—772no—
490C2×C4—74no—
491C2×C4—76no—
492C2×C4—79no—
493C2×C4—1418no—
494C2×C4—1418no—
495C2×C4—1412no—
496C2×C4—1418no—
497C2×C4—1418no—
498C2×C4—2818no—
499C2×C4—2836no—
500C2×C4—289no—
501C2×C4—2818no—
502C2×C4C22×C4×D7136yescomplemented
503C2×C4C24×D716yes—
504C2×C4C24×D719yes—
505C2×C4C24×D716yes—
506C2×C4C24×D711yescharacteristic
507C7C2×C4×H(5,𝔽2)11yescharacteristic, complemented, Sylow
508C22—29no—
509C22—29no—
510C22—424no—
511C22—72no—
512C22—72no—
513C22—72no—
514C22—718no—
515C22—1472no—
516C22—149no—
517C22—149no—
518C22—2872no—
519C22C23×C4×D7118yes—
520C22C25×D711yescharacteristic
521C4—29no—
522C4—26no—
523C4—712no—
524C4—72no—
525C4—149no—
526C4—146no—
527C4C23×C4×D7112yes—
528C4D7×H(5,𝔽2)12yesdirect product factor
529C2—218no—
530C2—74no—
531C2—1418no—
532C2C24×C4×D711yescharacteristic
533C2C2×D7×H(5,𝔽2)11yescharacteristic
534C2D7×#58511yescharacteristic
subgroupG/H
centerC2×C4C24×D7
commutatorC2×C7C25×C4
FrattiniC22C25×D7
FittingC4×C7×H(5,𝔽2)C2
socle, cosocleC22×C7C26
prime radicalC2×D7×H(5,𝔽2)C2
hypercenterC4×H(5,𝔽2)D7
hypocenterC7C2×C4×H(5,𝔽2)
LCSG ▷ C2×C7 ▷ C7
UCSC1 ◁ C2×C4 ◁ C4×H(5,𝔽2)

Complements

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

NH ≅ G/Ntype
2. C4×C7×H(5,𝔽2)C2semidirect
3. Dic7×H(5,𝔽2)C2semidirect
4. D7×#520C2semidirect
5. #11742954C2semidirect
6. D7×#518C2semidirect
7. #11742925C2semidirect
8. C4×#6553C2semidirect
9. C4×D7×#41C2semidirect
10. C2×C4×D4×D7C2semidirect
11. C4×#6548C2semidirect
13. D7×H(5,𝔽2)C4direct (N × H)
18. C23×C4×D7C22semidirect
19. C7×#520C22semidirect
20. C7×#518C22semidirect
21. C4×C7×#41C22semidirect
22. C2×C4×C7×D4C22semidirect
23. #90518C22semidirect
24. #41×Dic7C22semidirect
25. #90489C22semidirect
26. C2×D4×Dic7C22semidirect
27. C2×C4×C22⋊D7C22semidirect
28. #90265C22semidirect
29. C4×#1161C22semidirect
30. C4×#1161C22semidirect
31. C4×Q8×D7C22semidirect
32. C4×Q8×D7C22semidirect
33. #90237C22semidirect
34. #90236C22semidirect
35. #90236C22semidirect
36. C4×D4×D7C22semidirect
37. C4×D4×D7C22semidirect
38. C4×D4×D7C22semidirect
39. C4×D4×D7C22semidirect
40. C4×D4×D7C22semidirect
41. C4×#1159C22semidirect
42. C4×#1159C22semidirect
43. #90214C22semidirect
44. #90213C22semidirect
45. #90212C22semidirect
46. D7×#117C22semidirect
47. #90195C22semidirect
48. C2×#6456C22semidirect
49. C2×D7×C4⋊C4C22semidirect
50. #90177C22semidirect
51. C2×(C22⋊D7)⋊C4C22semidirect
52. C2×D7×C22⋊C4C22semidirect
53. C4×#1157C22semidirect
54. C2×C4×D28C22semidirect
55. C2×C42×D7C22semidirect
58. C7×H(5,𝔽2)C2×C4semidirect
61. C23×C4×C7C23semidirect
63. C23×Dic7C23semidirect
64. #6553C2×C4semidirect
65. D7×#41C2×C4semidirect
68. #6548C2×C4semidirect
70. C2×D4×D7C2×C4semidirect
80. C22×C4×D7C23semidirect
81. C22×C4×D7C23semidirect
82. C4×C7×Q8C23semidirect
83. C4×C7×Q8C23semidirect
84. C4×C7×D4C23semidirect
85. C4×C7×D4C23semidirect
86. C4×C7×D4C23semidirect
87. C7×#117C23semidirect
88. C2×C7×C4⋊C4C23semidirect
89. C2×C7×C22⋊C4C23semidirect
90. C2×C42×C7C23semidirect
91. C2×C22⋊Dic7C23semidirect
92. Q8×Dic7C23semidirect
93. Q8×Dic7C23semidirect
94. D4×Dic7C23semidirect
95. D4×Dic7C23semidirect
96. D4×Dic7C23semidirect
97. C4×C22⋊D7C23semidirect
98. C4×C22⋊D7C23semidirect
99. C4×C22⋊D7C23semidirect
100. C2×(C2×D7)⋊C4C23semidirect
101. C2×(C2×D7)⋊C4C23semidirect
102. #6489C23semidirect
103. C2×C4⋊Dic7C23semidirect
104. C2×Dic7⋊C4C23semidirect
105. C2×C4×Dic7C23semidirect
106. C2×C4×Dic7C23semidirect
107. C2×C4×Dic7C23semidirect
108. #6456C23semidirect
109. #6456C23semidirect
110. #6456C23semidirect
111. #6455C23semidirect
112. #6455C23semidirect
115. D7×C4⋊C4C23semidirect
116. #6450C23semidirect
117. #6450C23semidirect
118. (C22⋊D7)⋊C4C23semidirect
119. (C22⋊D7)⋊C4C23semidirect
120. (C22⋊D7)⋊C4C23semidirect
122. D7×C22⋊C4C23semidirect
123. #6440C23semidirect
124. C4×D28C23semidirect
125. C4×D28C23semidirect
126. C4×D28C23semidirect
127. #6435C23semidirect
130. C42×D7C23semidirect
131. C42×D7C23semidirect
132. C4×Dic14C23semidirect
133. C4×Dic14C23semidirect
140. C4×H(5,𝔽2)D7direct (N × H)
148. C23×D7C22×C4semidirect
151. C7×#41C22×C4semidirect
153. C2×C7×D4C22×C4semidirect
160. C2×C22⋊D7C22×C4semidirect
167. #1161C22×C4semidirect
168. Q8×D7C22×C4semidirect
169. #1159C22×C4semidirect
170. D4×D7C22×C4semidirect
171. D4×D7C22×C4semidirect
172. #1157C22×C4semidirect
173. C2×D28C22×C4semidirect
180. C2×C4×D7C22×C4semidirect
221. #520C2×D7semidirect
227. #518C2×D7semidirect
235. C4×#41C2×D7semidirect
248. C2×C4×D4C2×D7semidirect
255. C23×C7C23×C4semidirect
263. C22×D7C23×C4semidirect
266. C7×Q8C23×C4semidirect
267. C7×D4C23×C4semidirect
271. C2×C4×C7C23×C4semidirect
276. C22⋊D7C23×C4semidirect
280. C2×Dic7C23×C4semidirect
285. D28C23×C4semidirect
293. C4×D7C23×C4semidirect
294. C4×D7H(5,𝔽2)direct (N × H)
295. Dic14C23×C4semidirect
299. H(5,𝔽2)C4×D7direct (N × H)
320. C23×C4C22×D7semidirect
327. C4×Q8C22×D7semidirect
328. C4×Q8C22×D7semidirect
344. C4×D4C22×D7semidirect
345. C4×D4C22×D7semidirect
346. C4×D4C22×D7semidirect
352. #117C22×D7semidirect
358. C2×C4⋊C4C22×D7semidirect
364. C2×C22⋊C4C22×D7semidirect
372. C2×C42C22×D7semidirect
389. C4×C7C2×H(5,𝔽2)semidirect
393. Dic7C2×H(5,𝔽2)semidirect
403. #41C2×C4×D7semidirect
413. C2×D4C2×C4×D7semidirect
463. D7C4×H(5,𝔽2)direct (N × H)
475. C23C22×C4×D7semidirect
478. Q8C22×C4×D7semidirect
481. D4C22×C4×D7semidirect
502. C2×C4C22×C4×D7semidirect
507. C7C2×C4×H(5,𝔽2)semidirect
528. C4D7×H(5,𝔽2)direct (N × H)

Maximal subgroups

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

subgroupindex
C2×D7×H(5,𝔽2)2
C4×C7×H(5,𝔽2)2
Dic7×H(5,𝔽2)2
D7×#5202
#117429542
D7×#5182
#117429252
C4×#65532
C4×D7×#412
C2×C4×D4×D72
C4×#65482
C2×C4×H(5,𝔽2)7