Finite Group Databasebeta

← #13282967

Subgroups — #13282967

Order 1792.

2070 conjugacy classes of subgroups.

The subgroup lattice has 752 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C7×#123C211yesmaximal, characteristic
2C2×#89993C211yesmaximal, characteristic
3C2×#89992C211yesmaximal, characteristic
4#11729881C212yesmaximal, complemented
5#11729319C212yesmaximal, complemented
6#11729318C212yesmaximal, complemented
7#11729302C212yesmaximal, complemented
8#11729302C212yesmaximal, complemented
9#11729298C212yesmaximal, complemented
10C23×C7×D4C2211yescharacteristic
11C24×C4×C7C2211yescharacteristic
12C24×Dic7C2211yescharacteristic
13C2×C7×#123—24no—
14C2×C7×#123—24no—
15C2×C7×#123C418yescomplemented
16C22×C7×C4⋊C4C2212yes—
17C22×C7×C22⋊C4C2212yes—
18C22×C7×C22⋊C4C2211yescharacteristic
19C22×C22⋊Dic7C2212yes—
20C22×C22⋊Dic7C2212yes—
21C22×C22⋊Dic7C2212yes—
22C22×C22⋊Dic7C2211yescharacteristic
23C22×C4⋊Dic7C2211yescharacteristic
24C22×C4×Dic7C2211yescharacteristic
25#89993—24no—
26#89992—24no—
27C2×C7⋊#95C2212yes—
28C2×C7⋊#95C2212yes—
29C2×C7⋊#95C2212yes—
30C2×C7⋊#95C2212yes—
31C2×C7⋊#95C2212yes—
32C2×C7⋊#95C2212yes—
33C2×C7⋊#95C2212yes—
34C2×C7⋊#95C2212yes—
35C2×C7⋊#95C2212yes—
36#14505—71nomaximal, Sylow
37C25×C7C2311yescharacteristic
38C25×C7C2311yescharacteristic
39C22×C7×D4—41no—
40C22×C7×D4—41no—
41C22×C7×D4—41no—
42C22×C7×D4—41no—
43C22×C7×D4C2×C414yes—
44C22×C7×D4D414yes—
45C22×C7×D4D414yes—
46C23×C4×C7—22no—
47C23×C4×C7—22no—
48C23×C4×C7—41no—
49C23×C4×C7—41no—
50C23×C4×C7—41no—
51C23×C4×C7—41no—
52C23×C4×C7C2×C414yescomplemented
53C23×C4×C7C2312yes—
54C23×C4×C7C2312yes—
55C23×C4×C7C2311yescharacteristic
56C23×Dic7—22no—
57C23×Dic7—24no—
58C23×Dic7—41no—
59C23×Dic7—41no—
60C23×Dic7—42no—
61C23×Dic7C2312yes—
62C23×Dic7C2312yes—
63C23×Dic7C2312yes—
64C23×Dic7C2312yes—
65C7×#123—232no—
66C2×C7×C4⋊C4—24no—
67C2×C7×C4⋊C4—24no—
68C2×C7×C4⋊C4C2×C418yescomplemented
69C2×C7×C22⋊C4—24no—
70C2×C7×C22⋊C4—24no—
71C2×C7×C22⋊C4—22no—
72C2×C7×C22⋊C4—22no—
73C2×C7×C22⋊C4C2×C418yes—
74C2×C7×C22⋊C4C2×C414yescomplemented
75C2×C22⋊Dic7—24no—
76C2×C22⋊Dic7—22no—
77C2×C22⋊Dic7—24no—
78C2×C22⋊Dic7—24no—
79C2×C22⋊Dic7—24no—
80C2×C22⋊Dic7—24no—
81C2×C22⋊Dic7—24no—
82C2×C22⋊Dic7—42no—
83C2×C22⋊Dic7—42no—
84C2×C22⋊Dic7—42no—
85C2×C22⋊Dic7—41no—
86C2×C22⋊Dic7—41no—
87C2×C4⋊Dic7—22no—
88C2×C4⋊Dic7—41no—
89C2×C4⋊Dic7—41no—
90C2×C4×Dic7—22no—
91C2×C4×Dic7—41no—
92C2×C4×Dic7—41no—
93C7⋊#95—24no—
94C7⋊#95—24no—
95C7⋊#95—24no—
96C7⋊#95—42no—
97C7⋊#95—42no—
98C7⋊#95—42no—
99C7⋊#95—42no—
100C7⋊#95—42no—
101C7⋊#95—42no—
102C22×#123D711yescharacteristic
103C2×#390—71no—
104C2×#386—71no—
105#1441—72no—
106#1440—72no—
107#1440—72no—
108#1436—72no—
109C22⋊#95—72no—
110C22⋊#95—72no—
111C24×C7—22no—
112C24×C7—22no—
113C24×C7—22no—
114C24×C7—22no—
115C24×C7—22no—
116C24×C7—22no—
117C24×C7—21no—
118C24×C7—21no—
119C24×C7—21no—
120C24×C7—21no—
121C24×C7—21no—
122C24×C7—21no—
123C24×C7—21no—
124C24×C7—21no—
125C24×C7—22no—
126C24×C7—22no—
127C24×C7C22×C412yes—
128C24×C7C22×C412yes—
129C24×C7C2×D412yes—
130C24×C7C2×D412yes—
131C24×C7C2×D412yes—
132C24×C7C2×D412yes—
133C24×C7C2411yescharacteristic
134C2×C7×D4—44no—
135C2×C7×D4—44no—
136C2×C7×D4—44no—
137C2×C7×D4—44no—
138C2×C7×D4—44no—
139C2×C7×D4—44no—
140C2×C7×D4C22⋊C4116yes—
141C22×C4×C7—21no—
142C22×C4×C7—21no—
143C22×C4×C7—21no—
144C22×C4×C7—21no—
145C22×C4×C7—28no—
146C22×C4×C7—22no—
147C22×C4×C7—22no—
148C22×C4×C7—22no—
149C22×C4×C7—22no—
150C22×C4×C7—22no—
151C22×C4×C7—22no—
152C22×C4×C7—22no—
153C22×C4×C7—22no—
154C22×C4×C7—22no—
155C22×C4×C7—22no—
156C22×C4×C7—22no—
157C22×C4×C7—22no—
158C22×C4×C7—44no—
159C22×C4×C7—44no—
160C22×C4×C7—44no—
161C22×C4×C7—44no—
162C22×C4×C7—44no—
163C22×C4×C7—44no—
164C22×C4×C7C22×C414yes—
165C22×C4×C7C22×C414yes—
166C22×C4×C7C22×C412yes—
167C22×C4×C7C2×D412yes—
168C22×C4×C7C2×D412yes—
169C22×Dic7—22no—
170C22×Dic7—22no—
171C22×Dic7—22no—
172C22×Dic7—22no—
173C22×Dic7—22no—
174C22×Dic7—22no—
175C22×Dic7—22no—
176C22×Dic7—22no—
177C22×Dic7—22no—
178C22×Dic7—22no—
179C22×Dic7—22no—
180C22×Dic7—22no—
181C22×Dic7—22no—
182C22×Dic7—22no—
183C22×Dic7—22no—
184C22×Dic7—22no—
185C22×Dic7—22no—
186C22×Dic7—22no—
187C22×Dic7—22no—
188C22×Dic7—22no—
189C22×Dic7—22no—
190C22×Dic7—22no—
191C22×Dic7—22no—
192C22×Dic7—22no—
193C22×Dic7—22no—
194C22×Dic7—22no—
195C22×Dic7—44no—
196C22×Dic7—48no—
197C22×Dic7—48no—
198C22×Dic7—44no—
199C22×Dic7—44no—
200C22×Dic7#4114yes—
201C22×Dic7#4114yes—
202C7×C4⋊C4—216no—
203C7×C22⋊C4—216no—
204C7×C22⋊C4—28no—
205C22⋊Dic7—48no—
206C22⋊Dic7—48no—
207C22⋊Dic7—48no—
208C22⋊Dic7—44no—
209C4⋊Dic7—44no—
210C4×Dic7—44no—
211C23×D4C2×D711yescharacteristic
212C24×C4—71no—
213C24×C4C2×D711yescharacteristic
214C2×#123—24no—
215C2×#123—24no—
216C2×#123Dic718yescomplemented
217C22×C4⋊C4—71no—
218C22×C4⋊C4C2×D712yes—
219C22×C22⋊C4—72no—
220C22×C22⋊C4—72no—
221C22×C22⋊C4—72no—
222C22×C22⋊C4—71no—
223C22×C22⋊C4C2×D712yes—
224C22×C22⋊C4C2×D711yescharacteristic
225C22×C42—71no—
226#390—144no—
227#386—144no—
228C2×#95—72no—
229C2×#95—72no—
230C2×#95—72no—
231C2×#95—72no—
232C2×#95—72no—
233C2×#95—72no—
234C2×#95—72no—
235C2×#95—72no—
236C2×#95—72no—
237C23×C7—24no—
238C23×C7—24no—
239C23×C7—22no—
240C23×C7—22no—
241C23×C7—22no—
242C23×C7—22no—
243C23×C7—24no—
244C23×C7—24no—
245C23×C7—22no—
246C23×C7—22no—
247C23×C7—22no—
248C23×C7—22no—
249C23×C7—22no—
250C23×C7—22no—
251C23×C7—22no—
252C23×C7—22no—
253C23×C7—24no—
254C23×C7—24no—
255C23×C7—24no—
256C23×C7—24no—
257C23×C7—24no—
258C23×C7—24no—
259C23×C7—24no—
260C23×C7—24no—
261C23×C7—42no—
262C23×C7—42no—
263C23×C7—42no—
264C23×C7—42no—
265C23×C7—42no—
266C23×C7—42no—
267C23×C7—42no—
268C23×C7—42no—
269C23×C7—41no—
270C23×C7—41no—
271C23×C7—42no—
272C23×C7—42no—
273C23×C7—41no—
274C23×C7—41no—
275C23×C7—41no—
276C23×C7—41no—
277C23×C7—42no—
278C23×C7—42no—
279C23×C7—41no—
280C23×C7—41no—
281C23×C7C2×C22⋊C414yes—
282C23×C7C2×C22⋊C414yes—
283C23×C7C23×C411yescharacteristic
284C23×C7C22×D411yescharacteristic
285C23×C7C22×D411yescharacteristic
286C23×C7C2×#4112yes—
287C23×C7C2×#4112yes—
288C23×C7H(5,𝔽2)11yescharacteristic
289C23×C7H(5,𝔽2)11yescharacteristic
290C23×C7H(5,𝔽2)11yescharacteristic
291C23×C7H(5,𝔽2)11yescharacteristic
292C23×C7H(5,𝔽2)12yes—
293C23×C72−1+412yes—
294C7×D4—416no—
295C2×C4×C7—22no—
296C2×C4×C7—22no—
297C2×C4×C7—22no—
298C2×C4×C7—22no—
299C2×C4×C7—22no—
300C2×C4×C7—22no—
301C2×C4×C7—24no—
302C2×C4×C7—24no—
303C2×C4×C7—24no—
304C2×C4×C7—24no—
305C2×C4×C7—24no—
306C2×C4×C7—24no—
307C2×C4×C7—416no—
308C2×C4×C7—42no—
309C2×C4×C7—42no—
310C2×C4×C7—42no—
311C2×C4×C7—42no—
312C2×C4×C7—42no—
313C2×C4×C7—42no—
314C2×C4×C7—42no—
315C2×C4×C7—42no—
316C2×C4×C7C2×C22⋊C414yes—
317C2×Dic7—24no—
318C2×Dic7—24no—
319C2×Dic7—24no—
320C2×Dic7—24no—
321C2×Dic7—24no—
322C2×Dic7—24no—
323C2×Dic7—416no—
324C2×Dic7—42no—
325C2×Dic7—42no—
326C2×Dic7—42no—
327C2×Dic7—42no—
328C2×Dic7—42no—
329C2×Dic7—42no—
330C2×Dic7—42no—
331C2×Dic7—42no—
332C2×Dic7—42no—
333C2×Dic7—42no—
334C2×Dic7—42no—
335C2×Dic7—42no—
336C2×Dic7—42no—
337C2×Dic7—42no—
338C2×Dic7—42no—
339C2×Dic7—42no—
340C2×Dic7—42no—
341C2×Dic7—42no—
342C2×Dic7—42no—
343C2×Dic7—42no—
344C2×Dic7—42no—
345C2×Dic7—42no—
346C25C22×D711yescharacteristic
347C25C22×D711yescharacteristic
348C22×D4—41no—
349C22×D4—41no—
350C22×D4—41no—
351C22×D4—41no—
352C22×D4C2×Dic714yes—
353C22×D4C22⋊D714yes—
354C22×D4C22⋊D714yes—
355C23×C4—22no—
356C23×C4—22no—
357C23×C4—41no—
358C23×C4—41no—
359C23×C4—41no—
360C23×C4—41no—
361C23×C4—72no—
362C23×C4—72no—
363C23×C4—72no—
364C23×C4—72no—
365C23×C4—144no—
366C23×C4—142no—
367C23×C4—281no—
368C23×C4—281no—
369C23×C4—282no—
370C23×C4C2×Dic714yescomplemented
371C23×C4C22×D712yes—
372C23×C4C22×D712yes—
373C23×C4C22×D711yescharacteristic
374#123—232no—
375C2×C4⋊C4—24no—
376C2×C4⋊C4—24no—
377C2×C4⋊C4—142no—
378C2×C4⋊C4—281no—
379C2×C4⋊C4—281no—
380C2×C4⋊C4C2×Dic718yescomplemented
381C2×C22⋊C4—24no—
382C2×C22⋊C4—24no—
383C2×C22⋊C4—22no—
384C2×C22⋊C4—22no—
385C2×C22⋊C4—144no—
386C2×C22⋊C4—144no—
387C2×C22⋊C4—144no—
388C2×C22⋊C4—144no—
389C2×C22⋊C4—142no—
390C2×C22⋊C4—144no—
391C2×C22⋊C4—144no—
392C2×C22⋊C4—282no—
393C2×C22⋊C4—282no—
394C2×C22⋊C4—282no—
395C2×C22⋊C4—281no—
396C2×C22⋊C4—281no—
397C2×C22⋊C4C2×Dic718yes—
398C2×C22⋊C4C2×Dic714yescomplemented
399C2×C42—142no—
400C2×C42—281no—
401C2×C42—281no—
402#95—144no—
403#95—144no—
404#95—144no—
405#95—282no—
406#95—282no—
407#95—282no—
408#95—282no—
409#95—282no—
410#95—282no—
411C22×C7—24no—
412C22×C7—24no—
413C22×C7—28no—
414C22×C7—28no—
415C22×C7—44no—
416C22×C7—44no—
417C22×C7—42no—
418C22×C7—42no—
419C22×C7—42no—
420C22×C7—42no—
421C22×C7—42no—
422C22×C7—42no—
423C22×C7—44no—
424C22×C7—44no—
425C22×C7—44no—
426C22×C7—44no—
427C22×C7—42no—
428C22×C7—42no—
429C22×C7—42no—
430C22×C7—42no—
431C22×C7—42no—
432C22×C7—42no—
433C22×C7C22×C22⋊C411yescharacteristic
434C22×C7C4×#4112yes—
435C22×C7#51811yescharacteristic
436C22×C7#51811yescharacteristic
437C22×C7#52012yes—
438C22×C7#53411yescharacteristic
439C22×C7#53411yescharacteristic
440C22×C7#53411yescharacteristic
441C22×C7#53411yescharacteristic
442C22×C7#53812yes—
443C22×C7#53912yes—
444C22×C7#54012yes—
445C22×C7#54212yes—
446C22×C7#54612yes—
447C22×C7#54612yes—
448C22×C7#54712yes—
449C22×C7#54712yes—
450C22×C7#55111yescharacteristic
451C22×C7#55312yes—
452C22×C7#55911yescharacteristic
453C22×C7#56011yescharacteristic
454C22×C7#56212yes—
455C22×C7#56311yescharacteristic
456C4×C7—24no—
457C4×C7—44no—
458C4×C7—44no—
459Dic7—44no—
460Dic7—44no—
461Dic7—82no—
462Dic7—82no—
463C24—21no—
464C24—21no—
465C24—21no—
466C24—21no—
467C24—21no—
468C24—21no—
469C24—21no—
470C24—21no—
471C24—22no—
472C24—22no—
473C24—22no—
474C24—22no—
475C24—22no—
476C24—22no—
477C24—22no—
478C24—22no—
479C24C22×Dic712yes—
480C24C22×Dic712yes—
481C24C2×C22⋊D712yes—
482C24C2×C22⋊D712yes—
483C24C2×C22⋊D712yes—
484C24C2×C22⋊D712yes—
485C24C23×D711yescharacteristic
486C2×D4—44no—
487C2×D4—44no—
488C2×D4—44no—
489C2×D4—44no—
490C2×D4—44no—
491C2×D4—44no—
492C2×D4C22⋊Dic7116yes—
493C22×C4—21no—
494C22×C4—21no—
495C22×C4—21no—
496C22×C4—21no—
497C22×C4—28no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—22no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—22no—
509C22×C4—22no—
510C22×C4—44no—
511C22×C4—44no—
512C22×C4—44no—
513C22×C4—44no—
514C22×C4—44no—
515C22×C4—44no—
516C22×C4—74no—
517C22×C4—74no—
518C22×C4—142no—
519C22×C4—142no—
520C22×C4—142no—
521C22×C4—142no—
522C22×C4—142no—
523C22×C4—142no—
524C22×C4—142no—
525C22×C4—142no—
526C22×C4—142no—
527C22×C4—142no—
528C22×C4—142no—
529C22×C4—142no—
530C22×C4—142no—
531C22×C4—142no—
532C22×C4—142no—
533C22×C4—142no—
534C22×C4—142no—
535C22×C4—142no—
536C22×C4—142no—
537C22×C4—142no—
538C22×C4—142no—
539C22×C4—142no—
540C22×C4—142no—
541C22×C4—142no—
542C22×C4—142no—
543C22×C4—142no—
544C22×C4—284no—
545C22×C4—288no—
546C22×C4—288no—
547C22×C4—284no—
548C22×C4—284no—
549C22×C4C22×Dic714yes—
550C22×C4C22×Dic714yes—
551C22×C4C22×Dic712yes—
552C22×C4C2×C22⋊D712yes—
553C22×C4C2×C22⋊D712yes—
554C4⋊C4—216no—
555C4⋊C4—284no—
556C22⋊C4—216no—
557C22⋊C4—28no—
558C22⋊C4—288no—
559C22⋊C4—288no—
560C22⋊C4—288no—
561C22⋊C4—284no—
562C42—284no—
563C2×C7—44no—
564C2×C7—44no—
565C2×C7#230811yescharacteristic
566C2×C7#233512yes—
567C2×C7#233912yes—
568C2×C7#237411yescharacteristic
569C2×C7#237611yescharacteristic
570C2×C7#269711yescharacteristic
571C2×C7#270112yes—
572C2×C7#270812yes—
573C2×C7#270911yescharacteristic
574C2×C7#271711yescharacteristic
575C2×C7#272411yescharacteristic
576C23—22no—
577C23—22no—
578C23—22no—
579C23—22no—
580C23—22no—
581C23—22no—
582C23—22no—
583C23—22no—
584C23—22no—
585C23—22no—
586C23—22no—
587C23—22no—
588C23—24no—
589C23—24no—
590C23—24no—
591C23—24no—
592C23—24no—
593C23—24no—
594C23—24no—
595C23—24no—
596C23—24no—
597C23—24no—
598C23—24no—
599C23—24no—
600C23—41no—
601C23—41no—
602C23—42no—
603C23—42no—
604C23—41no—
605C23—41no—
606C23—42no—
607C23—42no—
608C23—42no—
609C23—42no—
610C23—42no—
611C23—42no—
612C23—42no—
613C23—42no—
614C23—41no—
615C23—41no—
616C23—41no—
617C23—41no—
618C23—42no—
619C23—42no—
620C23C2×C22⋊Dic714yes—
621C23C2×C22⋊Dic714yes—
622C23#654811yescharacteristic
623C23#654811yescharacteristic
624C23#654811yescharacteristic
625C23#654811yescharacteristic
626C23D7×#4112yes—
627C23D7×#4112yes—
628C23#655312yes—
629C23#655412yes—
630C23C23×Dic711yescharacteristic
631C23C22×C22⋊D711yescharacteristic
632C23C22×C22⋊D711yescharacteristic
633D4—416no—
634C2×C4—22no—
635C2×C4—22no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—24no—
641C2×C4—24no—
642C2×C4—24no—
643C2×C4—24no—
644C2×C4—24no—
645C2×C4—24no—
646C2×C4—416no—
647C2×C4—42no—
648C2×C4—42no—
649C2×C4—42no—
650C2×C4—42no—
651C2×C4—42no—
652C2×C4—42no—
653C2×C4—42no—
654C2×C4—42no—
655C2×C4—144no—
656C2×C4—144no—
657C2×C4—144no—
658C2×C4—144no—
659C2×C4—144no—
660C2×C4—144no—
661C2×C4—2816no—
662C2×C4—282no—
663C2×C4—282no—
664C2×C4—282no—
665C2×C4—282no—
666C2×C4—282no—
667C2×C4—282no—
668C2×C4—282no—
669C2×C4—282no—
670C2×C4—282no—
671C2×C4—282no—
672C2×C4—282no—
673C2×C4—282no—
674C2×C4—282no—
675C2×C4—282no—
676C2×C4—282no—
677C2×C4—282no—
678C2×C4—282no—
679C2×C4—282no—
680C2×C4—282no—
681C2×C4—282no—
682C2×C4—282no—
683C2×C4—282no—
684C2×C4C2×C22⋊Dic714yes—
685C7#1450511yescharacteristic, complemented, Sylow
686C22—24no—
687C22—24no—
688C22—28no—
689C22—28no—
690C22—44no—
691C22—44no—
692C22—42no—
693C22—42no—
694C22—42no—
695C22—42no—
696C22—44no—
697C22—44no—
698C22—42no—
699C22—42no—
700C22—42no—
701C22—42no—
702C22—42no—
703C22—42no—
704C22—42no—
705C22—42no—
706C22—44no—
707C22—44no—
708C22#9034211yescharacteristic
709C22#9034812yes—
710C22#9035011yescharacteristic
711C22#9035112yes—
712C22#9035212yes—
713C22#9035312yes—
714C22#9035412yes—
715C22#9035511yescharacteristic
716C22#9035711yescharacteristic
717C22#9035812yes—
718C22#9048911yescharacteristic
719C22#9048911yescharacteristic
720C22#9049511yescharacteristic
721C22#9049511yescharacteristic
722C22#9049511yescharacteristic
723C22#9049511yescharacteristic
724C22#9051512yes—
725C22#9051512yes—
726C22#41×Dic712yes—
727C22#9051812yes—
728C22#9052012yes—
729C22#9052012yes—
730C22C22×C22⋊Dic711yescharacteristic
731C4—24no—
732C4—44no—
733C4—44no—
734C4—284no—
735C4—284no—
736C4—562no—
737C4—562no—
738C2—44no—
739C2—44no—
740C2#1174028212yes—
741C2#1174028411yescharacteristic
742C2#1174028511yescharacteristic
743C2#1174032412yes—
744C2#1174032911yescharacteristic
745C2#1174033111yescharacteristic
746C2#1174033311yescharacteristic
747C2#1174035311yescharacteristic
748C2#1174035512yes—
749C2#1174148811yescharacteristic
750C2#1174153312yes—
subgroupG/H
center, FrattiniC24C23×D7
commutatorC23×C7C23×C4
FittingC22×C7×#123C2
socle, cosocleC24×C7C24
prime radicalC23×C7×D4C22
hypercenterC22×#123D7
hypocenterC7#14505
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C24 ◁ C22×#123

Complements

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

NH ≅ G/Ntype
4. #11729881C2semidirect
5. #11729319C2semidirect
6. #11729318C2semidirect
7. #11729302C2semidirect
8. #11729302C2semidirect
9. #11729298C2semidirect
15. C2×C7×#123C4semidirect
52. C23×C4×C7C2×C4semidirect
68. C2×C7×C4⋊C4C2×C4semidirect
74. C2×C7×C22⋊C4C2×C4semidirect
216. C2×#123Dic7semidirect
370. C23×C4C2×Dic7semidirect
380. C2×C4⋊C4C2×Dic7semidirect
398. C2×C22⋊C4C2×Dic7semidirect
685. C7#14505semidirect

Maximal subgroups

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

subgroupindex
C22×C7×#1232
C2×#899932
C2×#899922
#117298812
#117293192
#117293182
#117293022
#117292982
#145057