Finite Group Databasebeta

← C7×#24262 #13201478

Subgroups — C7×#24262 #13201478

Order 1792.

1654 conjugacy classes of subgroups.

The subgroup lattice has 694 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C7×#3496C211yesmaximal, characteristic, complemented
2C2×C7×B(4,𝔽2)C212yesmaximal, complemented
3C7×#2617C212yesmaximal, complemented
4C7×#2321C211yesmaximal, characteristic, complemented
5C7×#2044C212yesmaximal, complemented
6C7×#2021C212yesmaximal, complemented
7C7×#1964C212yesmaximal, complemented
8C7×#1799C211yesmaximal, characteristic, complemented
9C7×#1790C212yesmaximal, complemented
10C2×C7×H(5,𝔽2)C2212yes—
11C7×#547—22no—
12C7×#546—24no—
13C7×D42—22no—
14C7×#537—21no—
15C7×#534—21no—
16C7×#534C2212yes—
17C7×#532—21no—
18C2×C7×#121—21no—
19C2×C7×#121C2212yes—
20C2×C7×#120C2211yescharacteristic
21C2×C7×#120C2214yescomplemented
22C2×C4×C7×D4C2211yescharacteristic
23C22×C7×C22⋊C4C2211yescharacteristic, complemented
24C7×B(4,𝔽2)—28no—
25C2×C7×#99C2212yes—
26C2×C7×#99C2214yescomplemented
27C2×C7×#99C2214yescomplemented
28C7×#397—22no—
29C7×#394—24no—
30C7×#392—22no—
31C7×#390—21no—
32C7×#388—21no—
33C7×#388—21no—
34C7×#386—21no—
35C7×#386C2211yescharacteristic
36C7×#386C2214yescomplemented
37C7×#385C2211yescharacteristic, complemented
38C7×#380C2212yescomplemented
39C7×#379C2211yescharacteristic, complemented
40C4×C7×C22⋊C4C2211yescharacteristic, complemented
41C7×#342C2212yescomplemented
42#24262C711yesmaximal, characteristic, direct product factor, Sylow
43C25×C7C2311yescharacteristic
44C7×H(5,𝔽2)—24no—
45C7×H(5,𝔽2)—24no—
46C7×H(5,𝔽2)—44no—
47C2×C7×#41—22no—
48C2×C7×#41—24no—
49C22×C7×D4—22no—
50C22×C7×D4—24no—
51C22×C7×D4—21no—
52C22×C7×D4—21no—
53C22×C7×D4—24no—
54C22×C7×D4D412yescomplemented
55C22×C7×D4C2314yes—
56C22×C7×D4C2311yescharacteristic
57C23×C4×C7D411yescharacteristic, complemented
58C23×C4×C7C2311yescharacteristic
59C23×C4×C7C2311yescharacteristic
60C7×C4⋊Q8—21no—
61C7×#127—21no—
62C7×#124—22no—
63C7×#123—24no—
64C7×#123—24no—
65C7×C22⋊Q8—24no—
66C7×#121—22no—
67C7×#121—22no—
68C7×#121—24no—
69C7×#121—22no—
70C7×#121—22no—
71C7×#121—22no—
72C7×#121—22no—
73C7×#121—22no—
74C7×#121—22no—
75C7×#120—24no—
76C7×#120—24no—
77C7×#120—22no—
78C7×#120—28no—
79C7×#120—44no—
80C7×#120D414yescomplemented
81C4×C7×D4—22no—
82C4×C7×D4—22no—
83C4×C7×D4—22no—
84C4×C7×D4—22no—
85C2×C7×C4⋊C4—21no—
86C2×C7×C4⋊C4—22no—
87C2×C7×C4⋊C4—21no—
88C2×C7×C4⋊C4D411yescharacteristic, complemented
89C2×C7×C4⋊C4D412yescomplemented
90C2×C7×C22⋊C4—22no—
91C2×C7×C22⋊C4—21no—
92C2×C7×C22⋊C4—21no—
93C2×C7×C22⋊C4—21no—
94C2×C7×C22⋊C4—22no—
95C2×C7×C22⋊C4—22no—
96C2×C7×C22⋊C4—24no—
97C2×C7×C22⋊C4—21no—
98C2×C7×C22⋊C4—24no—
99C2×C7×C22⋊C4—21no—
100C2×C7×C22⋊C4—21no—
101C2×C7×C22⋊C4D411yescharacteristic, complemented
102C2×C7×C22⋊C4D414yescomplemented
103C2×C7×C22⋊C4C2314yes—
104C2×C7×C22⋊C4C2311yescharacteristic
105C2×C7×C22⋊C4C2311yescharacteristic
106C2×C7×C22⋊C4C2311yescharacteristic
107C2×C42×C7—21no—
108C2×C42×C7D411yescharacteristic, complemented
109C7×#99—24no—
110C7×#99—28no—
111C7×#99—44no—
112C7×#95—21no—
113C7×#95—22no—
114C7×#95—21no—
115C7×#95—21no—
116C7×#95—24no—
117#3496C2×C711yescharacteristic, complemented
118C2×B(4,𝔽2)C2×C712yescomplemented
119#2617C2×C712yescomplemented
120#2321C2×C711yescharacteristic, complemented
121#2044C2×C712yescomplemented
122#2021C2×C712yescomplemented
123#1964C2×C712yescomplemented
124#1799C2×C711yescharacteristic, complemented
125#1790C2×C712yescomplemented
126C24×C7—22no—
127C24×C7—21no—
128C24×C7—22no—
129C24×C7—21no—
130C24×C7—22no—
131C24×C7—81no—
132C24×C7—81no—
133C24×C7C2×D414yes—
134C24×C7C2×D411yescharacteristic
135C24×C7C2×D412yescomplemented
136C24×C7C2411yescharacteristic
137C7×#41—48no—
138C7×#41—48no—
139C7×#41—44no—
140C7×#41—44no—
141C2×C7×Q8—22no—
142C2×C7×D4—22no—
143C2×C7×D4—22no—
144C2×C7×D4—24no—
145C2×C7×D4—22no—
146C2×C7×D4—24no—
147C2×C7×D4—24no—
148C2×C7×D4—24no—
149C2×C7×D4—24no—
150C2×C7×D4—24no—
151C2×C7×D4—24no—
152C2×C7×D4—22no—
153C2×C7×D4—22no—
154C2×C7×D4—24no—
155C2×C7×D4—22no—
156C2×C7×D4—22no—
157C2×C7×D4—48no—
158C2×C7×D4—48no—
159C2×C7×D4—44no—
160C2×C7×D4—44no—
161C2×C7×D4—48no—
162C2×C7×D4—82no—
163C2×C7×D4—82no—
164C2×C7×D4—81no—
165C2×C7×D4—81no—
166C2×C7×D4—84no—
167C2×C7×D4—84no—
168C2×C7×D4C2×D412yes—
169C2×C7×D4#4112yes—
170C22×C4×C7—22no—
171C22×C4×C7—24no—
172C22×C4×C7—21no—
173C22×C4×C7—21no—
174C22×C4×C7—21no—
175C22×C4×C7—21no—
176C22×C4×C7—22no—
177C22×C4×C7—21no—
178C22×C4×C7—24no—
179C22×C4×C7—81no—
180C22×C4×C7—81no—
181C22×C4×C7—81no—
182C22×C4×C7C2×D414yes—
183C22×C4×C7C2×D411yescharacteristic
184C22×C4×C7C2×D411yescharacteristic
185C22×C4×C7C2×D411yescharacteristic
186C22×C4×C7C2×D411yescharacteristic
187C22×C4×C7C2×D412yes—
188C22×C4×C7C2×D411yescharacteristic
189C22×C4×C7C2×D412yes—
190C7×C4⋊C4—22no—
191C7×C4⋊C4—22no—
192C7×C4⋊C4—22no—
193C7×C4⋊C4—22no—
194C7×C4⋊C4—22no—
195C7×C4⋊C4—82no—
196C7×C4⋊C4—81no—
197C7×C22⋊C4—24no—
198C7×C22⋊C4—24no—
199C7×C22⋊C4—22no—
200C7×C22⋊C4—21no—
201C7×C22⋊C4—24no—
202C7×C22⋊C4—22no—
203C7×C22⋊C4—24no—
204C7×C22⋊C4—24no—
205C7×C22⋊C4—24no—
206C7×C22⋊C4—22no—
207C7×C22⋊C4—24no—
208C7×C22⋊C4—48no—
209C7×C22⋊C4—41no—
210C7×C22⋊C4—41no—
211C7×C22⋊C4—42no—
212C7×C22⋊C4—81no—
213C7×C22⋊C4—81no—
214C7×C22⋊C4—81no—
215C7×C22⋊C4—84no—
216C7×C22⋊C4C2×D412yescomplemented
217C42×C7—21no—
218C42×C7—21no—
219C42×C7—81no—
220C2×H(5,𝔽2)C22×C712yes—
221#547—22no—
222#546—24no—
223D42—22no—
224#537—21no—
225#534—21no—
226#534C22×C712yes—
227#532—21no—
228C2×#121—21no—
229C2×#121C22×C712yes—
230C2×#120C22×C711yescharacteristic
231C2×#120C22×C714yescomplemented
232C2×C4×D4C22×C711yescharacteristic
233C22×C22⋊C4C22×C711yescharacteristic, complemented
234B(4,𝔽2)—28no—
235C2×#99C22×C712yes—
236C2×#99C22×C714yescomplemented
237C2×#99C22×C714yescomplemented
238#397—22no—
239#394—24no—
240#392—22no—
241#390—21no—
242#388—21no—
243#388—21no—
244#386—21no—
245#386C22×C711yescharacteristic
246#386C22×C714yescomplemented
247#385C22×C711yescharacteristic, complemented
248#380C22×C712yescomplemented
249#379C22×C711yescharacteristic, complemented
250C4×C22⋊C4C22×C711yescharacteristic, complemented
251#342C22×C712yescomplemented
252C23×C7—21no—
253C23×C7—21no—
254C23×C7—24no—
255C23×C7—22no—
256C23×C7—24no—
257C23×C7—24no—
258C23×C7—24no—
259C23×C7—41no—
260C23×C7—41no—
261C23×C7—41no—
262C23×C7—41no—
263C23×C7—41no—
264C23×C7—41no—
265C23×C7—41no—
266C23×C7—44no—
267C23×C7—41no—
268C23×C7—44no—
269C23×C7—44no—
270C23×C7—44no—
271C23×C7—44no—
272C23×C7—41no—
273C23×C7—41no—
274C23×C7—42no—
275C23×C7—82no—
276C23×C7—82no—
277C23×C7—84no—
278C23×C7—82no—
279C23×C7—82no—
280C23×C7#12112yes—
281C23×C7C22×D411yescharacteristic
282C23×C7C22×D412yes—
283C23×C7C22×D411yescharacteristic
284C23×C7C2×#4111yescharacteristic
285C23×C7H(5,𝔽2)12yes—
286C7×Q8—44no—
287C7×D4—24no—
288C7×D4—24no—
289C7×D4—44no—
290C7×D4—44no—
291C7×D4—48no—
292C7×D4—44no—
293C7×D4—44no—
294C7×D4—44no—
295C7×D4—44no—
296C7×D4—82no—
297C7×D4—82no—
298C7×D4—84no—
299C7×D4—82no—
300C7×D4—816no—
301C2×C4×C7—21no—
302C2×C4×C7—21no—
303C2×C4×C7—21no—
304C2×C4×C7—21no—
305C2×C4×C7—24no—
306C2×C4×C7—22no—
307C2×C4×C7—24no—
308C2×C4×C7—24no—
309C2×C4×C7—41no—
310C2×C4×C7—42no—
311C2×C4×C7—41no—
312C2×C4×C7—42no—
313C2×C4×C7—42no—
314C2×C4×C7—48no—
315C2×C4×C7—41no—
316C2×C4×C7—41no—
317C2×C4×C7—44no—
318C2×C4×C7—41no—
319C2×C4×C7—41no—
320C2×C4×C7—41no—
321C2×C4×C7—41no—
322C2×C4×C7—41no—
323C2×C4×C7—44no—
324C2×C4×C7—44no—
325C2×C4×C7—41no—
326C2×C4×C7—44no—
327C2×C4×C7—41no—
328C2×C4×C7—41no—
329C2×C4×C7—44no—
330C2×C4×C7—81no—
331C2×C4×C7#12011yescharacteristic
332C2×C4×C7#12011yescharacteristic
333C2×C4×C7#12012yes—
334C2×C4×C7#12112yes—
335C25C23×C711yescharacteristic
336H(5,𝔽2)—24no—
337H(5,𝔽2)—24no—
338H(5,𝔽2)—44no—
339C2×#41—22no—
340C2×#41—24no—
341C22×D4—22no—
342C22×D4—24no—
343C22×D4—21no—
344C22×D4—21no—
345C22×D4—24no—
346C22×D4C7×D412yescomplemented
347C22×D4C23×C714yes—
348C22×D4C23×C711yescharacteristic
349C23×C4C7×D411yescharacteristic, complemented
350C23×C4C23×C711yescharacteristic
351C23×C4C23×C711yescharacteristic
352C4⋊Q8—21no—
353#127—21no—
354#124—22no—
355#123—24no—
356#123—24no—
357C22⋊Q8—24no—
358#121—22no—
359#121—22no—
360#121—24no—
361#121—22no—
362#121—22no—
363#121—22no—
364#121—22no—
365#121—22no—
366#121—22no—
367#120—24no—
368#120—24no—
369#120—22no—
370#120—28no—
371#120—44no—
372#120C7×D414yescomplemented
373C4×D4—22no—
374C4×D4—22no—
375C4×D4—22no—
376C4×D4—22no—
377C2×C4⋊C4—21no—
378C2×C4⋊C4—22no—
379C2×C4⋊C4—21no—
380C2×C4⋊C4C7×D411yescharacteristic, complemented
381C2×C4⋊C4C7×D412yescomplemented
382C2×C22⋊C4—22no—
383C2×C22⋊C4—21no—
384C2×C22⋊C4—21no—
385C2×C22⋊C4—21no—
386C2×C22⋊C4—22no—
387C2×C22⋊C4—22no—
388C2×C22⋊C4—24no—
389C2×C22⋊C4—21no—
390C2×C22⋊C4—24no—
391C2×C22⋊C4—21no—
392C2×C22⋊C4—21no—
393C2×C22⋊C4C7×D411yescharacteristic, complemented
394C2×C22⋊C4C7×D414yescomplemented
395C2×C22⋊C4C23×C714yes—
396C2×C22⋊C4C23×C711yescharacteristic
397C2×C22⋊C4C23×C711yescharacteristic
398C2×C22⋊C4C23×C711yescharacteristic
399C2×C42—21no—
400C2×C42C7×D411yescharacteristic, complemented
401#99—24no—
402#99—28no—
403#99—44no—
404#95—21no—
405#95—22no—
406#95—21no—
407#95—21no—
408#95—24no—
409C22×C7—21no—
410C22×C7—22no—
411C22×C7—21no—
412C22×C7—22no—
413C22×C7—22no—
414C22×C7—41no—
415C22×C7—41no—
416C22×C7—42no—
417C22×C7—42no—
418C22×C7—42no—
419C22×C7—48no—
420C22×C7—42no—
421C22×C7—41no—
422C22×C7—41no—
423C22×C7—44no—
424C22×C7—42no—
425C22×C7—44no—
426C22×C7—44no—
427C22×C7—81no—
428C22×C7—84no—
429C22×C7—84no—
430C22×C7—81no—
431C22×C7—81no—
432C22×C7—84no—
433C22×C7—81no—
434C22×C7—81no—
435C22×C7—164no—
436C22×C7C2×#12011yescharacteristic
437C22×C7C2×#12111yescharacteristic
438C22×C7#53511yescharacteristic
439C22×C7D4212yes—
440C22×C7#54612yes—
441C4×C7—22no—
442C4×C7—21no—
443C4×C7—21no—
444C4×C7—22no—
445C4×C7—42no—
446C4×C7—44no—
447C4×C7—41no—
448C4×C7—41no—
449C4×C7—81no—
450C4×C7—84no—
451C4×C7—81no—
452C24—22no—
453C24—21no—
454C24—22no—
455C24—21no—
456C24—22no—
457C24—81no—
458C24—81no—
459C24C2×C7×D414yes—
460C24C2×C7×D411yescharacteristic
461C24C2×C7×D412yescomplemented
462C24C24×C711yescharacteristic
463#41—48no—
464#41—48no—
465#41—44no—
466#41—44no—
467C2×Q8—22no—
468C2×D4—22no—
469C2×D4—22no—
470C2×D4—24no—
471C2×D4—22no—
472C2×D4—24no—
473C2×D4—24no—
474C2×D4—24no—
475C2×D4—24no—
476C2×D4—24no—
477C2×D4—24no—
478C2×D4—22no—
479C2×D4—22no—
480C2×D4—24no—
481C2×D4—22no—
482C2×D4—22no—
483C2×D4—48no—
484C2×D4—48no—
485C2×D4—44no—
486C2×D4—44no—
487C2×D4—48no—
488C2×D4—82no—
489C2×D4—82no—
490C2×D4—81no—
491C2×D4—81no—
492C2×D4—84no—
493C2×D4—84no—
494C2×D4C2×C7×D412yes—
495C2×D4C7×#4112yes—
496C22×C4—22no—
497C22×C4—24no—
498C22×C4—21no—
499C22×C4—21no—
500C22×C4—21no—
501C22×C4—21no—
502C22×C4—22no—
503C22×C4—21no—
504C22×C4—24no—
505C22×C4—81no—
506C22×C4—81no—
507C22×C4—81no—
508C22×C4C2×C7×D414yes—
509C22×C4C2×C7×D411yescharacteristic
510C22×C4C2×C7×D411yescharacteristic
511C22×C4C2×C7×D411yescharacteristic
512C22×C4C2×C7×D411yescharacteristic
513C22×C4C2×C7×D412yes—
514C22×C4C2×C7×D411yescharacteristic
515C22×C4C2×C7×D412yes—
516C4⋊C4—22no—
517C4⋊C4—22no—
518C4⋊C4—22no—
519C4⋊C4—22no—
520C4⋊C4—22no—
521C4⋊C4—82no—
522C4⋊C4—81no—
523C22⋊C4—24no—
524C22⋊C4—24no—
525C22⋊C4—22no—
526C22⋊C4—21no—
527C22⋊C4—24no—
528C22⋊C4—22no—
529C22⋊C4—24no—
530C22⋊C4—24no—
531C22⋊C4—24no—
532C22⋊C4—22no—
533C22⋊C4—24no—
534C22⋊C4—48no—
535C22⋊C4—41no—
536C22⋊C4—41no—
537C22⋊C4—42no—
538C22⋊C4—81no—
539C22⋊C4—81no—
540C22⋊C4—81no—
541C22⋊C4—84no—
542C22⋊C4C2×C7×D412yescomplemented
543C42—21no—
544C42—21no—
545C42—81no—
546C2×C7—21no—
547C2×C7—22no—
548C2×C7—21no—
549C2×C7—22no—
550C2×C7—42no—
551C2×C7—82no—
552C2×C7—84no—
553C2×C7#240811yescharacteristic
554C2×C7#302611yescharacteristic
555C2×C7#302711yescharacteristic
556C23—21no—
557C23—21no—
558C23—24no—
559C23—22no—
560C23—24no—
561C23—24no—
562C23—24no—
563C23—41no—
564C23—41no—
565C23—41no—
566C23—41no—
567C23—41no—
568C23—41no—
569C23—41no—
570C23—44no—
571C23—41no—
572C23—44no—
573C23—44no—
574C23—44no—
575C23—44no—
576C23—41no—
577C23—41no—
578C23—42no—
579C23—82no—
580C23—82no—
581C23—84no—
582C23—82no—
583C23—82no—
584C23C7×#12112yes—
585C23C22×C7×D411yescharacteristic
586C23C22×C7×D412yes—
587C23C22×C7×D411yescharacteristic
588C23C2×C7×#4111yescharacteristic
589C23C7×H(5,𝔽2)12yes—
590Q8—44no—
591D4—24no—
592D4—24no—
593D4—44no—
594D4—44no—
595D4—48no—
596D4—44no—
597D4—44no—
598D4—44no—
599D4—44no—
600D4—82no—
601D4—82no—
602D4—84no—
603D4—82no—
604D4—816no—
605C2×C4—21no—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—24no—
610C2×C4—22no—
611C2×C4—24no—
612C2×C4—24no—
613C2×C4—41no—
614C2×C4—42no—
615C2×C4—41no—
616C2×C4—42no—
617C2×C4—42no—
618C2×C4—48no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—44no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—44no—
628C2×C4—44no—
629C2×C4—41no—
630C2×C4—44no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—44no—
634C2×C4—81no—
635C2×C4C7×#12011yescharacteristic
636C2×C4C7×#12011yescharacteristic
637C2×C4C7×#12012yes—
638C2×C4C7×#12112yes—
639C7#2426211yescharacteristic, direct product factor, Sylow
640C22—21no—
641C22—22no—
642C22—21no—
643C22—22no—
644C22—22no—
645C22—41no—
646C22—41no—
647C22—42no—
648C22—42no—
649C22—42no—
650C22—48no—
651C22—42no—
652C22—41no—
653C22—41no—
654C22—44no—
655C22—42no—
656C22—44no—
657C22—44no—
658C22—81no—
659C22—84no—
660C22—84no—
661C22—81no—
662C22—81no—
663C22—84no—
664C22—81no—
665C22—81no—
666C22—164no—
667C22C2×C7×#12011yescharacteristic
668C22C2×C7×#12111yescharacteristic
669C22C7×#53511yescharacteristic
670C22C7×D4212yes—
671C22C7×#54612yes—
672C4—22no—
673C4—21no—
674C4—21no—
675C4—22no—
676C4—42no—
677C4—44no—
678C4—41no—
679C4—41no—
680C4—84no—
681C4—81no—
682C4—81no—
683C2—21no—
684C2—22no—
685C2—21no—
686C2—22no—
687C2—42no—
688C2—82no—
689C2—84no—
690C2C7×#240811yescharacteristic
691C2C7×#302611yescharacteristic
692C2C7×#302711yescharacteristic
subgroupG/H
center, socleC22×C7C2×#120
commutator, Frattini, cosocleC24C24×C7
LCSG ▷ C24 ▷ C2 ▷ C1
UCSC1 ◁ C22×C7 ◁ C23×C4×C7 ◁ G

Complements

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

NH ≅ G/Ntype
1. C7×#3496C2semidirect
2. C2×C7×B(4,𝔽2)C2semidirect
3. C7×#2617C2semidirect
4. C7×#2321C2semidirect
5. C7×#2044C2semidirect
6. C7×#2021C2semidirect
7. C7×#1964C2semidirect
8. C7×#1799C2semidirect
9. C7×#1790C2semidirect
21. C2×C7×#120C22semidirect
23. C22×C7×C22⋊C4C22semidirect
26. C2×C7×#99C22semidirect
27. C2×C7×#99C22semidirect
36. C7×#386C22semidirect
37. C7×#385C22semidirect
38. C7×#380C22semidirect
39. C7×#379C22semidirect
40. C4×C7×C22⋊C4C22semidirect
41. C7×#342C22semidirect
42. #24262C7direct (N × H)
54. C22×C7×D4D4semidirect
57. C23×C4×C7D4semidirect
80. C7×#120D4semidirect
88. C2×C7×C4⋊C4D4semidirect
89. C2×C7×C4⋊C4D4semidirect
101. C2×C7×C22⋊C4D4semidirect
102. C2×C7×C22⋊C4D4semidirect
108. C2×C42×C7D4semidirect
117. #3496C2×C7semidirect
118. C2×B(4,𝔽2)C2×C7semidirect
119. #2617C2×C7semidirect
120. #2321C2×C7semidirect
121. #2044C2×C7semidirect
122. #2021C2×C7semidirect
123. #1964C2×C7semidirect
124. #1799C2×C7semidirect
125. #1790C2×C7semidirect
135. C24×C7C2×D4semidirect
216. C7×C22⋊C4C2×D4semidirect
231. C2×#120C22×C7semidirect
233. C22×C22⋊C4C22×C7semidirect
236. C2×#99C22×C7semidirect
237. C2×#99C22×C7semidirect
246. #386C22×C7semidirect
247. #385C22×C7semidirect
248. #380C22×C7semidirect
249. #379C22×C7semidirect
250. C4×C22⋊C4C22×C7semidirect
251. #342C22×C7semidirect
346. C22×D4C7×D4semidirect
349. C23×C4C7×D4semidirect
372. #120C7×D4semidirect
380. C2×C4⋊C4C7×D4semidirect
381. C2×C4⋊C4C7×D4semidirect
393. C2×C22⋊C4C7×D4semidirect
394. C2×C22⋊C4C7×D4semidirect
400. C2×C42C7×D4semidirect
461. C24C2×C7×D4semidirect
542. C22⋊C4C2×C7×D4semidirect
639. C7#24262direct (N × H)

Maximal subgroups

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

subgroupindex
C7×#34962
C2×C7×B(4,𝔽2)2
C7×#26172
C7×#23212
C7×#20442
C7×#20212
C7×#19642
C7×#17992
C7×#17902
#242627