Finite Group Databasebeta

← #13526438

Subgroups — #13526438

Order 1792.

2834 conjugacy classes of subgroups.

The subgroup lattice has 734 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C23×Dic7⋊C4C211yesmaximal, characteristic, complemented
2C2×#90293C211yesmaximal, characteristic, complemented
3C7×#2847C211yesmaximal, characteristic
4#11741476C211yesmaximal, characteristic, complemented
5#11740120C211yesmaximal, characteristic, complemented
6#11740100C214yesmaximal, complemented
7#11740047C212yesmaximal, complemented
8Dic7×#120C212yesmaximal, complemented
9#11732227C212yesmaximal, complemented
10#11732181C214yesmaximal, complemented
11#11732154C214yesmaximal, complemented
12#11732109C212yesmaximal, complemented
13#11731398C211yesmaximal, characteristic, complemented
14#11731353C214yesmaximal, complemented
15#11731312C211yesmaximal, characteristic, complemented
16C24×C4×C7C2211yescharacteristic
17C24×Dic7C2211yescharacteristic
18C24×Dic7C2211yescharacteristic
19C2×C7×#121C2211yescharacteristic
20C2×C7×#121C2212yes—
21C2×C7×#120C2212yes—
22C2×#6498C2212yes—
23C2×#6498C2212yes—
24C2×#6498C2212yescomplemented
25C2×D4×Dic7C2212yes—
26C2×D4×Dic7C2214yes—
27C2×#6487C2211yescharacteristic
28C2×#6487C2212yes—
29C22×Dic7⋊C4—28no—
30C22×Dic7⋊C4C2211yescharacteristic
31C22×Dic7⋊C4C2211yescharacteristic
32C22×Dic7⋊C4C2214yes—
33C22×Dic7⋊C4C2214yes—
34C22×Dic7⋊C4C2211yescharacteristic
35C22×Dic7⋊C4C2211yescharacteristic
36#90293—28no—
37C2×#6452C2212yescomplemented
38C2×#6442C2212yescomplemented
39C2×#6441C2212yescomplemented
40C7×#386C2212yes—
41C7×#386C2214yes—
42C7×#380C2211yescharacteristic
43C7×#380C2212yes—
44#90019C2212yes—
45#89994C2212yescomplemented
46#89992C2212yes—
47#89992C2214yes—
48#89992C2214yes—
49#89992C2214yes—
50#89984C2211yescharacteristic
51#89984C2212yes—
52#89982C2212yes—
53#89982C2214yes—
54#89755C2214yescomplemented
55#89752C2212yescomplemented
56#89750C2214yescomplemented
57#89724C2214yescomplemented
58#89722C2212yes—
59#89722C2214yes—
60#89721C2214yescomplemented
61#89720C2214yescomplemented
62#89718C2214yes—
63#89718C2214yes—
64#89718C2214yescomplemented
65#89716C2214yescomplemented
66#89715C2212yes—
67#89715C2212yes—
68C22⋊C4×Dic7C2212yes—
69C22⋊C4×Dic7C2214yes—
70#89431C2212yescomplemented
71#89430C2214yescomplemented
72#89429C2214yescomplemented
73#89428C2212yescomplemented
74#89427C2214yescomplemented
75#89424C2214yescomplemented
76#89419C2214yescomplemented
77#34989—71nomaximal, Sylow
78C25×C7C2311yescharacteristic
79C22×C7×D4C2312yes—
80C22×C7×D4C2314yes—
81C22×C7×D4C2311yescharacteristic
82C23×C4×C7—24no—
83C23×C4×C7—44no—
84C23×C4×C7C2312yes—
85C23×C4×C7C2312yes—
86C23×C4×C7C2311yescharacteristic
87C23×C4×C7C2311yescharacteristic
88C23×Dic7—24no—
89C23×Dic7—24no—
90C23×Dic7—24no—
91C23×Dic7—24no—
92C23×Dic7—44no—
93C23×Dic7C2314yes—
94C23×Dic7C2314yes—
95C23×Dic7C2311yescharacteristic
96C23×Dic7C2311yescharacteristic
97C23×Dic7C2312yes—
98C23×Dic7C2311yescharacteristic
99C23×Dic7C2311yescharacteristic
100C22×Dic14C2311yescharacteristic
101C7×#121—24no—
102C7×#121—44no—
103C7×#120—28no—
104C2×C7×C4⋊C4C2311yescharacteristic
105C2×C7×C4⋊C4C2312yes—
106C2×C7×C22⋊C4C2312yes—
107C2×C7×C22⋊C4C2312yes—
108C2×C7×C22⋊C4C2314yes—
109C2×C7×C22⋊C4C2314yes—
110C2×C22⋊Dic7C2312yes—
111C2×C22⋊Dic7C2312yes—
112C2×C22⋊Dic7C2312yes—
113C2×C22⋊Dic7C2312yes—
114C2×C22⋊Dic7C2314yes—
115C2×C22⋊Dic7C2312yes—
116C2×C22⋊Dic7C2314yes—
117C2×C22⋊Dic7C2314yes—
118C2×C22⋊Dic7C2314yes—
119#6498—28no—
120#6498—28no—
121#6498—28no—
122D4×Dic7—28no—
123D4×Dic7—48no—
124C2×C4⋊Dic7C2312yes—
125C2×C4⋊Dic7C2311yescharacteristic
126C2×C4⋊Dic7C2312yes—
127C2×C4⋊Dic7C2314yes—
128#6487—24no—
129#6487—44no—
130C2×Dic7⋊C4—24no—
131C2×Dic7⋊C4—24no—
132C2×Dic7⋊C4—24no—
133C2×Dic7⋊C4—216no—
134C2×Dic7⋊C4—216no—
135C2×Dic7⋊C4D418yescomplemented
136C2×Dic7⋊C4C2312yes—
137C2×Dic7⋊C4C2312yes—
138C2×Dic7⋊C4C2314yes—
139C2×Dic7⋊C4C2314yes—
140C2×Dic7⋊C4C2312yes—
141C2×Dic7⋊C4C2312yes—
142C2×Dic7⋊C4C2314yes—
143C2×Dic7⋊C4C2312yes—
144C2×Dic7⋊C4C2314yes—
145C2×Dic7⋊C4C2312yes—
146C2×Dic7⋊C4C2312yes—
147C2×C4×Dic7C2312yes—
148C2×C4×Dic7C2314yes—
149#6452—28no—
150#6442—28no—
151#6441—28no—
152C7×#95C2314yes—
153C7×#95C2312yes—
154C7⋊#95C2314yes—
155C7⋊#95C2314yes—
156C7⋊#95C2314yes—
157C7⋊#95C2314yes—
158C7⋊#95C2314yes—
159C7⋊#95C2314yes—
160C7⋊#95C2314yes—
161C7⋊#95C2314yes—
162C7⋊#95C2312yes—
163C2×#539—71no—
164C23×C4⋊C4—71no—
165#2849—72no—
166#2848—71no—
167#2847D711yescharacteristic
168#2627—71no—
169#2623—72no—
170#2618—71no—
171#2481—74no—
172#2473—74no—
173#2449—74no—
174#2443—74no—
175#2322—72no—
176#2313—71no—
177C4×#120—72no—
178C24×C7—22no—
179C24×C7—22no—
180C24×C7—24no—
181C24×C7—24no—
182C24×C7#4114yes—
183C24×C7C2412yes—
184C24×C7C2411yescharacteristic
185C24×C7C2412yes—
186C2×C7×D4—24no—
187C2×C7×D4—24no—
188C2×C7×D4—24no—
189C2×C7×D4—28no—
190C2×C7×D4—28no—
191C2×C7×D4—28no—
192C2×C7×D4—22no—
193C2×C7×D4—42no—
194C22×C4×C7—22no—
195C22×C4×C7—24no—
196C22×C4×C7—24no—
197C22×C4×C7—24no—
198C22×C4×C7—24no—
199C22×C4×C7—42no—
200C22×C4×C7—42no—
201C22×C4×C7—42no—
202C22×C4×C7—42no—
203C22×C4×C7—416no—
204C22×C4×C7C2×D414yes—
205C22×C4×C7C2414yes—
206C22×C4×C7C2412yes—
207C22×C4×C7C2412yes—
208C22×C4×C7C2411yescharacteristic
209C22×C4×C7C2411yescharacteristic
210C22×Dic7—232no—
211C22×Dic7—22no—
212C22×Dic7—28no—
213C22×Dic7—22no—
214C22×Dic7—22no—
215C22×Dic7—22no—
216C22×Dic7—28no—
217C22×Dic7—28no—
218C22×Dic7—22no—
219C22×Dic7—28no—
220C22×Dic7—28no—
221C22×Dic7—24no—
222C22×Dic7—42no—
223C22×Dic7—44no—
224C22×Dic7—42no—
225C22×Dic7—44no—
226C22×Dic7—416no—
227C22×Dic7C2×D414yes—
228C22×Dic7C2×D414yes—
229C22×Dic7#4114yes—
230C22×Dic7C2412yes—
231C22×Dic7C2414yes—
232C22×Dic7C2412yes—
233C22×Dic7C2412yes—
234C22×Dic7C2412yes—
235C22×Dic7C2412yes—
236C22×Dic7C2412yes—
237C2×Dic14—22no—
238C2×Dic14—42no—
239C7×C4⋊C4—22no—
240C7×C4⋊C4—42no—
241C7×C22⋊C4—24no—
242C7×C22⋊C4—28no—
243C7×C22⋊C4—24no—
244C7×C22⋊C4—44no—
245C22⋊Dic7—24no—
246C22⋊Dic7—24no—
247C22⋊Dic7—28no—
248C22⋊Dic7—28no—
249C22⋊Dic7—24no—
250C22⋊Dic7—24no—
251C22⋊Dic7—24no—
252C22⋊Dic7—28no—
253C22⋊Dic7—44no—
254C4⋊Dic7—22no—
255C4⋊Dic7—24no—
256C4⋊Dic7—42no—
257C4⋊Dic7—44no—
258Dic7⋊C4—24no—
259Dic7⋊C4—24no—
260Dic7⋊C4—24no—
261Dic7⋊C4—24no—
262Dic7⋊C4—24no—
263Dic7⋊C4—28no—
264Dic7⋊C4—28no—
265Dic7⋊C4—28no—
266Dic7⋊C4—44no—
267Dic7⋊C4C2×D418yes—
268Dic7⋊C4C2×D418yes—
269C4×Dic7—24no—
270C4×Dic7—44no—
271C24×C4—71no—
272C24×C4—71no—
273C24×C4C2×D711yescharacteristic
274#539—148no—
275C2×#126—72no—
276C2×#125—72no—
277C2×#123—72no—
278C2×#123—72no—
279C2×#123—72no—
280C2×C22⋊Q8—71no—
281C2×C22⋊Q8—72no—
282C2×C22⋊Q8—72no—
283C2×#121C2×D711yescharacteristic
284C2×#121C2×D712yes—
285C2×#120C2×D712yes—
286C2×C4×D4—72no—
287C2×C4×D4—74no—
288C22×C4⋊C4—71no—
289C22×C4⋊C4—71no—
290C22×C4⋊C4—71no—
291C22×C4⋊C4—71no—
292C22×C4⋊C4—74no—
293C22×C4⋊C4—74no—
294C22×C4⋊C4—148no—
295#400—74no—
296#400—72no—
297#399—74no—
298#398—72no—
299#398—74no—
300#398—74no—
301#397—74no—
302#396—74no—
303#395—72no—
304#394—72no—
305#389—74no—
306#388—74no—
307#387—74no—
308#387—74no—
309#387—74no—
310#386—74no—
311#386—74no—
312#386—72no—
313#386—74no—
314#386C2×D712yes—
315#386C2×D714yes—
316#385—72no—
317#385—74no—
318#385—74no—
319#385—74no—
320#385—74no—
321#385—72no—
322#385—74no—
323#381—72no—
324#381—72no—
325#380—71no—
326#380—72no—
327#380C2×D711yescharacteristic
328#380C2×D712yes—
329#379—72no—
330C4×C22⋊C4—72no—
331C4×C22⋊C4—74no—
332C23×C7—28no—
333C23×C7—28no—
334C23×C7—216no—
335C23×C7—28no—
336C23×C7—216no—
337C23×C7—22no—
338C23×C7—22no—
339C23×C7—22no—
340C23×C7—22no—
341C23×C7—22no—
342C23×C7—22no—
343C23×C7—22no—
344C23×C7—22no—
345C23×C7—22no—
346C23×C7—24no—
347C23×C7—24no—
348C23×C7C22×D412yes—
349C23×C7C2×#4112yes—
350C23×C7C2×#4114yes—
351C23×C7C2×#4112yes—
352C23×C7H(5,𝔽2)14yes—
353C23×C72−1+414yes—
354C23×C7C2511yescharacteristic
355C7×D4—48no—
356C7×D4—416no—
357C7×D4—82no—
358C2×C4×C7—22no—
359C2×C4×C7—22no—
360C2×C4×C7—22no—
361C2×C4×C7—22no—
362C2×C4×C7—22no—
363C2×C4×C7—22no—
364C2×C4×C7—24no—
365C2×C4×C7—24no—
366C2×C4×C7—22no—
367C2×C4×C7—22no—
368C2×C4×C7—24no—
369C2×C4×C7—44no—
370C2×C4×C7—48no—
371C2×C4×C7—48no—
372C2×C4×C7—44no—
373C2×C4×C7C22×D412yes—
374C2×C4×C7C22×D412yes—
375C2×Dic7—232no—
376C2×Dic7—28no—
377C2×Dic7—28no—
378C2×Dic7—22no—
379C2×Dic7—22no—
380C2×Dic7—22no—
381C2×Dic7—22no—
382C2×Dic7—24no—
383C2×Dic7—22no—
384C2×Dic7—22no—
385C2×Dic7—22no—
386C2×Dic7—24no—
387C2×Dic7—24no—
388C2×Dic7—24no—
389C2×Dic7—24no—
390C2×Dic7—24no—
391C2×Dic7—24no—
392C2×Dic7—44no—
393C2×Dic7—416no—
394C2×Dic7—44no—
395C2×Dic7—84no—
396C2×Dic7C22×D414yes—
397C2×Dic7C22×D414yes—
398C2×Dic7C2×#4114yes—
399Dic14—82no—
400C25C22×D711yescharacteristic
401C22×Q8—71no—
402C22×D4C22×D712yes—
403C22×D4C22×D714yes—
404C22×D4C22×D711yescharacteristic
405C23×C4—24no—
406C23×C4—44no—
407C23×C4—71no—
408C23×C4—71no—
409C23×C4—71no—
410C23×C4—74no—
411C23×C4—74no—
412C23×C4—71no—
413C23×C4—72no—
414C23×C4—144no—
415C23×C4—144no—
416C23×C4—144no—
417C23×C4—144no—
418C23×C4—284no—
419C23×C4C22×D712yes—
420C23×C4C22×D712yes—
421C23×C4C22×D711yescharacteristic
422C23×C4C22×D711yescharacteristic
423#126—148no—
424#125—148no—
425#123—148no—
426#123—148no—
427#123—148no—
428C22⋊Q8—148no—
429C22⋊Q8—144no—
430C22⋊Q8—284no—
431#121—24no—
432#121—44no—
433#120—28no—
434C4×D4—148no—
435C4×D4—288no—
436C2×C4⋊C4—78no—
437C2×C4⋊C4—72no—
438C2×C4⋊C4—72no—
439C2×C4⋊C4—74no—
440C2×C4⋊C4—72no—
441C2×C4⋊C4—72no—
442C2×C4⋊C4—74no—
443C2×C4⋊C4—72no—
444C2×C4⋊C4—72no—
445C2×C4⋊C4—72no—
446C2×C4⋊C4—71no—
447C2×C4⋊C4—72no—
448C2×C4⋊C4—74no—
449C2×C4⋊C4—74no—
450C2×C4⋊C4—74no—
451C2×C4⋊C4—72no—
452C2×C4⋊C4—1416no—
453C2×C4⋊C4—1416no—
454C2×C4⋊C4—144no—
455C2×C4⋊C4—144no—
456C2×C4⋊C4—144no—
457C2×C4⋊C4C22×D711yescharacteristic
458C2×C4⋊C4C22×D712yes—
459C2×C22⋊C4—72no—
460C2×C22⋊C4—74no—
461C2×C22⋊C4—72no—
462C2×C22⋊C4—72no—
463C2×C22⋊C4—72no—
464C2×C22⋊C4—72no—
465C2×C22⋊C4—74no—
466C2×C22⋊C4—74no—
467C2×C22⋊C4—74no—
468C2×C22⋊C4C22×D712yes—
469C2×C22⋊C4C22×D714yes—
470C2×C22⋊C4C22×D712yes—
471C2×C22⋊C4C22×D714yes—
472C2×C42—72no—
473C2×C42—74no—
474#95—74no—
475#95—74no—
476#95—74no—
477#95—72no—
478#95—74no—
479#95—74no—
480#95—74no—
481#95—74no—
482#95—74no—
483#95C22×D712yes—
484#95C22×D714yes—
485C22×C7—232no—
486C22×C7—24no—
487C22×C7—24no—
488C22×C7—24no—
489C22×C7—22no—
490C22×C7—24no—
491C22×C7—22no—
492C22×C7—24no—
493C22×C7—24no—
494C22×C7—24no—
495C22×C7—24no—
496C22×C7—42no—
497C22×C7—44no—
498C22×C7—42no—
499C22×C7—42no—
500C22×C7—44no—
501C22×C7#52514yes—
502C22×C7#53918yescomplemented
503C22×C7C23×D411yescharacteristic
504C22×C7C22×#4111yescharacteristic
505C22×C7C22×#4111yescharacteristic
506C22×C7C2×H(5,𝔽2)12yes—
507C22×C7C2×2−1+412yes—
508C4×C7—22no—
509C4×C7—22no—
510C4×C7—42no—
511C4×C7—44no—
512C4×C7—42no—
513Dic7—24no—
514Dic7—24no—
515Dic7—24no—
516Dic7—42no—
517Dic7—42no—
518Dic7—42no—
519Dic7—44no—
520C24—22no—
521C24—24no—
522C24—22no—
523C24—24no—
524C24#115914yes—
525C24C23×D712yes—
526C24C23×D711yescharacteristic
527C24C23×D712yes—
528C2×Q8—142no—
529C2×Q8—282no—
530C2×D4—24no—
531C2×D4—28no—
532C2×D4—24no—
533C2×D4—28no—
534C2×D4—24no—
535C2×D4—28no—
536C2×D4—22no—
537C2×D4—42no—
538C22×C4—22no—
539C22×C4—24no—
540C22×C4—24no—
541C22×C4—24no—
542C22×C4—24no—
543C22×C4—42no—
544C22×C4—42no—
545C22×C4—42no—
546C22×C4—42no—
547C22×C4—416no—
548C22×C4—74no—
549C22×C4—74no—
550C22×C4—72no—
551C22×C4—72no—
552C22×C4—72no—
553C22×C4—74no—
554C22×C4—72no—
555C22×C4—74no—
556C22×C4—72no—
557C22×C4—72no—
558C22×C4—148no—
559C22×C4—148no—
560C22×C4—148no—
561C22×C4—144no—
562C22×C4—1432no—
563C22×C4—142no—
564C22×C4—148no—
565C22×C4—142no—
566C22×C4—142no—
567C22×C4—142no—
568C22×C4—142no—
569C22×C4—148no—
570C22×C4—282no—
571C22×C4—284no—
572C22×C4—282no—
573C22×C4—284no—
574C22×C4—2816no—
575C22×C4D4×D714yes—
576C22×C4C23×D714yes—
577C22×C4C23×D712yes—
578C22×C4C23×D712yes—
579C22×C4C23×D711yescharacteristic
580C22×C4C23×D711yescharacteristic
581C4⋊C4—22no—
582C4⋊C4—42no—
583C4⋊C4—78no—
584C4⋊C4—78no—
585C4⋊C4—148no—
586C4⋊C4—148no—
587C4⋊C4—144no—
588C4⋊C4—148no—
589C4⋊C4—144no—
590C4⋊C4—144no—
591C4⋊C4—144no—
592C4⋊C4—144no—
593C4⋊C4—144no—
594C4⋊C4—142no—
595C4⋊C4—284no—
596C4⋊C4—284no—
597C4⋊C4—282no—
598C22⋊C4—28no—
599C22⋊C4—24no—
600C22⋊C4—24no—
601C22⋊C4—44no—
602C22⋊C4—144no—
603C22⋊C4—144no—
604C22⋊C4—148no—
605C22⋊C4—144no—
606C22⋊C4—144no—
607C22⋊C4—148no—
608C22⋊C4—144no—
609C22⋊C4—148no—
610C22⋊C4—284no—
611C42—144no—
612C42—284no—
613C2×C7—24no—
614C2×C7—28no—
615C2×C7—82no—
616C2×C7C2×#52511yescharacteristic
617C2×C7C2×#53912yes—
618C2×C7#348411yescharacteristic
619C2×C7#348611yescharacteristic
620C2×C7#349212yes—
621C23—28no—
622C23—28no—
623C23—216no—
624C23—216no—
625C23—28no—
626C23—22no—
627C23—22no—
628C23—22no—
629C23—22no—
630C23—22no—
631C23—22no—
632C23—22no—
633C23—22no—
634C23—24no—
635C23—22no—
636C23—24no—
637C23C2×D4×D712yes—
638C23C2×#115914yes—
639C23C2×#115912yes—
640C23#654814yes—
641C23D7×#4112yes—
642C23#655414yes—
643C23C24×D711yescharacteristic
644Q8—562no—
645D4—416no—
646D4—48no—
647D4—82no—
648C2×C4—22no—
649C2×C4—22no—
650C2×C4—22no—
651C2×C4—22no—
652C2×C4—22no—
653C2×C4—24no—
654C2×C4—24no—
655C2×C4—22no—
656C2×C4—22no—
657C2×C4—22no—
658C2×C4—24no—
659C2×C4—44no—
660C2×C4—48no—
661C2×C4—48no—
662C2×C4—44no—
663C2×C4—74no—
664C2×C4—74no—
665C2×C4—74no—
666C2×C4—1432no—
667C2×C4—148no—
668C2×C4—148no—
669C2×C4—142no—
670C2×C4—142no—
671C2×C4—142no—
672C2×C4—144no—
673C2×C4—142no—
674C2×C4—142no—
675C2×C4—142no—
676C2×C4—142no—
677C2×C4—144no—
678C2×C4—144no—
679C2×C4—144no—
680C2×C4—144no—
681C2×C4—144no—
682C2×C4—144no—
683C2×C4—284no—
684C2×C4—2816no—
685C2×C4—284no—
686C2×C4—564no—
687C2×C4C2×D4×D712yes—
688C2×C4C2×D4×D712yes—
689C7#3498911yescharacteristic, complemented, Sylow
690C22—232no—
691C22—22no—
692C22—24no—
693C22—24no—
694C22—24no—
695C22—24no—
696C22—22no—
697C22—24no—
698C22—24no—
699C22—24no—
700C22—24no—
701C22—42no—
702C22—42no—
703C22—44no—
704C22—42no—
705C22—44no—
706C22#9029318yescomplemented
707C22#9029714yes—
708C22C22×D4×D711yescharacteristic
709C22C22×#115911yescharacteristic
710C22C2×#654812yes—
711C22C2×D7×#4111yescharacteristic
712C22C2×#655412yes—
713C4—22no—
714C4—22no—
715C4—42no—
716C4—42no—
717C4—44no—
718C4—144no—
719C4—144no—
720C4—144no—
721C4—282no—
722C4—282no—
723C4—282no—
724C4—284no—
725C2—28no—
726C2—24no—
727C2—82no—
728C2#1174298711yescharacteristic
729C2C2×#9029711yescharacteristic
730C2C2×#9029312yes—
731C2#1174309011yescharacteristic
732C2#1174309312yes—
subgroupG/H
center, FrattiniC23C24×D7
commutator, socle, cosocleC23×C7C25
Fitting, prime radicalC7×#2847C2
hypercenter#2847D7
hypocenterC7#34989
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2847

Complements

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

NH ≅ G/Ntype
1. C23×Dic7⋊C4C2semidirect
2. C2×#90293C2semidirect
4. #11741476C2semidirect
5. #11740120C2semidirect
6. #11740100C2semidirect
7. #11740047C2semidirect
8. Dic7×#120C2semidirect
9. #11732227C2semidirect
10. #11732181C2semidirect
11. #11732154C2semidirect
12. #11732109C2semidirect
13. #11731398C2semidirect
14. #11731353C2semidirect
15. #11731312C2semidirect
24. C2×#6498C22semidirect
37. C2×#6452C22semidirect
38. C2×#6442C22semidirect
39. C2×#6441C22semidirect
45. #89994C22semidirect
54. #89755C22semidirect
55. #89752C22semidirect
56. #89750C22semidirect
57. #89724C22semidirect
60. #89721C22semidirect
61. #89720C22semidirect
64. #89718C22semidirect
65. #89716C22semidirect
70. #89431C22semidirect
71. #89430C22semidirect
72. #89429C22semidirect
73. #89428C22semidirect
74. #89427C22semidirect
75. #89424C22semidirect
76. #89419C22semidirect
135. C2×Dic7⋊C4D4semidirect
502. C22×C7#539semidirect
689. C7#34989semidirect
706. C22#90293semidirect

Maximal subgroups

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

subgroupindex
C23×Dic7⋊C42
C2×#902932
C7×#28472
#117414762
#117401202
#117401002
#117400472
Dic7×#1202
#117322272
#117321812
#117321542
#117321092
#117313982
#117313532
#117313122
#349897