Finite Group Databasebeta

← #13523752

Subgroups — #13523752

Order 1792.

2646 conjugacy classes of subgroups.

The subgroup lattice has 726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C7×#525C211yesmaximal, characteristic
2C2×#90208C211yesmaximal, characteristic, complemented
3#11741531C211yesmaximal, characteristic, complemented
4#11741531C211yesmaximal, characteristic, complemented
5#11741472C211yesmaximal, characteristic, complemented
6C2×C4×C22⋊Dic7C211yesmaximal, characteristic, complemented
7#11740302C214yesmaximal, complemented
8#11740218C212yesmaximal, complemented
9#11740217C212yesmaximal, complemented
10#11740107C212yesmaximal, complemented
11#11740106C212yesmaximal, complemented
12#11740034C214yesmaximal, complemented
13#11739793C214yesmaximal, complemented
14C4×#6499C214yesmaximal, complemented
15Dic7×#117C211yesmaximal, characteristic, complemented
16C22×C7×#41C2211yescharacteristic
17C24×C4×C7C2211yescharacteristic
18C7×#525—28no—
19C2×C7×#123C2212yes—
20C2×C7×C22⋊Q8C2212yes—
21C2×C7×#121C2212yes—
22C2×C7×#120C2212yes—
23C2×C4×C7×D4C2214yes—
24C2×C7×#117C2211yescharacteristic
25C22×C22⋊Dic7C2212yes—
26C2×#6499C2214yes—
27C2×#6489C2211yescharacteristic
28C2×#6489C2211yescharacteristic
29C22×C4×Dic7C2211yescharacteristic
30C22×C4×Dic7C2211yescharacteristic
31#90208—28no—
32C2×#6453C2212yescomplemented
33C2×#6451C2212yescomplemented
34C2×#6441C2214yes—
35C2×C4×Dic14C2214yescomplemented
36#90019C2212yes—
37#90002C2211yescharacteristic, complemented
38#90002C2212yescomplemented
39#90002C2211yescharacteristic, complemented
40#89994C2214yes—
41#89994C2214yes—
42#89993C2214yes—
43#89993C2211yescharacteristic, complemented
44#89993C2212yescomplemented
45#89993C2211yescharacteristic, complemented
46#89992C2214yes—
47#89992C2214yes—
48#89984C2212yes—
49#89984C2212yes—
50#89983C2212yes—
51C4×C22⋊Dic7C2212yes—
52C4×C22⋊Dic7C2212yes—
53C4×C22⋊Dic7C2212yes—
54C4×C22⋊Dic7C2212yes—
55C4×C22⋊Dic7C2214yes—
56C4×C22⋊Dic7C2212yescomplemented
57C4×C22⋊Dic7C2214yescomplemented
58C4×C22⋊Dic7C2212yescomplemented
59C2×C7⋊#95C2212yes—
60#89754C2214yescomplemented
61#89754C2214yescomplemented
62#89749C2214yescomplemented
63C4⋊C4×Dic7C2212yescomplemented
64C4⋊C4×Dic7C2212yescomplemented
65#89746C2214yescomplemented
66#89725C2214yes—
67#89725C2214yescomplemented
68#89719C2214yes—
69#89719C2214yescomplemented
70#89717C2214yes—
71#89717C2214yes—
72#89717C2214yescomplemented
73#89717C2214yescomplemented
74C22⋊C4×Dic7C2214yes—
75#89704C2212yescomplemented
76C42×Dic7C2212yescomplemented
77#34813—71nomaximal, Sylow
78C25×C7C2311yescharacteristic
79C2×C7×#41—24no—
80C2×C7×#41—24no—
81C2×C7×#41—24no—
82C22×C7×Q8C2311yescharacteristic
83C22×C7×D4C2312yes—
84C22×C7×D4C2311yescharacteristic
85C22×C7×D4C2314yes—
86C23×C4×C7—24no—
87C23×C4×C7—24no—
88C23×C4×C7—24no—
89C23×C4×C7C2312yes—
90C23×C4×C7C2311yescharacteristic
91C23×C4×C7C2312yes—
92C23×C4×C7C2312yes—
93C23×C4×C7C2311yescharacteristic
94C23×Dic7C2312yes—
95C23×Dic7C2312yes—
96C22×Dic14C2314yes—
97C7×#123—28no—
98C7×C22⋊Q8—28no—
99C7×#121—28no—
100C7×#120—28no—
101C4×C7×D4—216no—
102C7×#117D418yes—
103C2×C7×C4⋊C4C2314yes—
104C2×C7×C4⋊C4C2312yes—
105C2×C7×C22⋊C4C2314yes—
106C2×C7×C22⋊C4C2314yes—
107C2×C7×C22⋊C4C2312yes—
108C2×C42×C7C2312yes—
109C2×C22⋊Dic7—28no—
110C2×C22⋊Dic7C2312yes—
111C2×C22⋊Dic7C2312yes—
112C2×C22⋊Dic7C2312yes—
113C2×C22⋊Dic7C2314yes—
114C2×C22⋊Dic7C2314yes—
115C2×C22⋊Dic7C2314yes—
116C2×C22⋊Dic7C2312yes—
117C2×C22⋊Dic7C2312yes—
118C2×C22⋊Dic7C2314yes—
119C2×C22⋊Dic7C2314yes—
120C2×C22⋊Dic7C2314yes—
121C2×C22⋊Dic7C2312yes—
122#6499—216no—
123#6489—24no—
124#6489—24no—
125C2×C4⋊Dic7C2314yes—
126C2×C4⋊Dic7C2312yes—
127C2×C4⋊Dic7C2311yescharacteristic
128C2×C4⋊Dic7C2311yescharacteristic
129C2×Dic7⋊C4C2314yes—
130C2×Dic7⋊C4C2314yes—
131C2×C4×Dic7—24no—
132C2×C4×Dic7—24no—
133C2×C4×Dic7C2312yes—
134C2×C4×Dic7C2312yes—
135C2×C4×Dic7C2311yescharacteristic
136C2×C4×Dic7C2311yescharacteristic
137C2×C4×Dic7C2311yescharacteristic
138C2×C4×Dic7C2312yes—
139C2×C4×Dic7C2314yes—
140C2×C4×Dic7C2311yescharacteristic
141C2×C4×Dic7C2312yes—
142C2×C4×Dic7C2314yes—
143#6453—28no—
144#6451—28no—
145#6441—216no—
146C4×Dic14—216no—
147C7⋊#95C2314yes—
148C7⋊#95C2314yes—
149C7⋊#95C2314yes—
150C7⋊#95C2314yes—
151C7⋊#95C2314yes—
152C7⋊#95C2312yes—
153C7⋊#95C2312yes—
154C7⋊#95C2314yes—
155C7⋊#95C2314yes—
156C7⋊#95C2314yes—
157C7⋊#95C2312yes—
158C7⋊#95C2312yes—
159C2×#533—71no—
160C2×#525D711yescharacteristic
161#2492—72no—
162#2491—72no—
163#2490—72no—
164#2489—72no—
165#2488—74no—
166#2472—74no—
167#2398—74no—
168C4×#124—74no—
169#2297—71no—
170#2297—71no—
171#2280—71no—
172C4×#117—71no—
173C2×C4×C22⋊C4—71no—
174C24×C7—24no—
175C24×C7—22no—
176C24×C7—22no—
177C24×C7—22no—
178C24×C7—42no—
179C24×C7C2412yes—
180C24×C7C2412yes—
181C24×C7C2411yescharacteristic
182C7×#41—416no—
183C2×C7×Q8—22no—
184C2×C7×Q8—22no—
185C2×C7×Q8—22no—
186C2×C7×D4—24no—
187C2×C7×D4—28no—
188C2×C7×D4—24no—
189C2×C7×D4—24no—
190C2×C7×D4—28no—
191C2×C7×D4—22no—
192C2×C7×D4—22no—
193C2×C7×D4—22no—
194C2×C7×D4—44no—
195C22×C4×C7—22no—
196C22×C4×C7—22no—
197C22×C4×C7—22no—
198C22×C4×C7—24no—
199C22×C4×C7—24no—
200C22×C4×C7—24no—
201C22×C4×C7—24no—
202C22×C4×C7—24no—
203C22×C4×C7—24no—
204C22×C4×C7—24no—
205C22×C4×C7—24no—
206C22×C4×C7—24no—
207C22×C4×C7—416no—
208C22×C4×C7C2×D414yes—
209C22×C4×C7#4114yes—
210C22×C4×C7#4114yes—
211C22×C4×C7C2412yes—
212C22×C4×C7C2412yes—
213C22×C4×C7C2414yes—
214C22×C4×C7C2411yescharacteristic
215C22×C4×C7C2411yescharacteristic
216C22×Dic7—24no—
217C22×Dic7—24no—
218C22×Dic7—24no—
219C22×Dic7—24no—
220C22×Dic7—42no—
221C22×Dic7—42no—
222C22×Dic7C2412yes—
223C22×Dic7C2412yes—
224C22×Dic7C2412yes—
225C22×Dic7C2412yes—
226C22×Dic7C2414yes—
227C22×Dic7C2412yes—
228C22×Dic7C2412yes—
229C2×Dic14—28no—
230C2×Dic14—28no—
231C2×Dic14—44no—
232C7×C4⋊C4—28no—
233C7×C4⋊C4C2×D418yes—
234C7×C22⋊C4—28no—
235C7×C22⋊C4—28no—
236C7×C22⋊C4C2×D418yes—
237C42×C7C2×D418yes—
238C22⋊Dic7—24no—
239C22⋊Dic7—24no—
240C22⋊Dic7—28no—
241C22⋊Dic7—24no—
242C22⋊Dic7—28no—
243C22⋊Dic7—28no—
244C22⋊Dic7—24no—
245C22⋊Dic7—24no—
246C22⋊Dic7—44no—
247C22⋊Dic7—44no—
248C22⋊Dic7—44no—
249C22⋊Dic7#4118yescomplemented
250C4⋊Dic7—28no—
251C4⋊Dic7—24no—
252C4⋊Dic7—22no—
253C4⋊Dic7—22no—
254Dic7⋊C4—28no—
255Dic7⋊C4—28no—
256C4×Dic7—24no—
257C4×Dic7—24no—
258C4×Dic7—22no—
259C4×Dic7—22no—
260C4×Dic7—22no—
261C4×Dic7—24no—
262C4×Dic7—22no—
263C4×Dic7—24no—
264C4×Dic7—28no—
265C4×Dic7—44no—
266C22×#41C2×D711yescharacteristic
267C24×C4C2×D711yescharacteristic
268#533—148no—
269C2×C4⋊Q8—72no—
270C2×#125—72no—
271C2×#124—74no—
272#525—28no—
273C2×#123C2×D712yes—
274C2×C22⋊Q8—74no—
275C2×C22⋊Q8C2×D712yes—
276C2×#121C2×D712yes—
277C2×#120C2×D712yes—
278C2×C4×Q8—74no—
279C2×C4×D4C2×D714yes—
280C2×#117—71no—
281C2×#117—71no—
282C2×#117C2×D711yescharacteristic
283C22×C22⋊C4—72no—
284C22×C42—71no—
285C22×C42—71no—
286#400—74no—
287#400—74no—
288#397—74no—
289#397—74no—
290#394—74no—
291#394—74no—
292#393—74no—
293#393—74no—
294#391—71no—
295#391—72no—
296#391—71no—
297#391—74no—
298#390—74no—
299#390—71no—
300#390—72no—
301#390—71no—
302#388—74no—
303#388—74no—
304#388—74no—
305#388—74no—
306#386—74no—
307#386—74no—
308#382—74no—
309#381—72no—
310#380—72no—
311#380—72no—
312#379—72no—
313C4×C4⋊C4—72no—
314C4×C4⋊C4—72no—
315C4×C22⋊C4—72no—
316C4×C22⋊C4—72no—
317C4×C22⋊C4—74no—
318C4×C22⋊C4—74no—
319C4×C22⋊C4—72no—
320C4×C22⋊C4—72no—
321C4×C22⋊C4—72no—
322C4×C22⋊C4—72no—
323C4×C22⋊C4—74no—
324#376—72no—
325C2×#95—72no—
326C43—72no—
327C23×C7—22no—
328C23×C7—22no—
329C23×C7—28no—
330C23×C7—22no—
331C23×C7—22no—
332C23×C7—22no—
333C23×C7—22no—
334C23×C7—22no—
335C23×C7—22no—
336C23×C7—22no—
337C23×C7—24no—
338C23×C7—22no—
339C23×C7—22no—
340C23×C7—24no—
341C23×C7—48no—
342C23×C7—48no—
343C23×C7—44no—
344C23×C7—44no—
345C23×C7C22×D412yes—
346C23×C7C2×#4112yes—
347C23×C7C2×#4112yes—
348C23×C7C2×#4114yes—
349C23×C7C2511yescharacteristic
350C7×Q8—44no—
351C7×D4—416no—
352C7×D4—48no—
353C7×D4—44no—
354C2×C4×C7—24no—
355C2×C4×C7—24no—
356C2×C4×C7—22no—
357C2×C4×C7—22no—
358C2×C4×C7—22no—
359C2×C4×C7—22no—
360C2×C4×C7—22no—
361C2×C4×C7—22no—
362C2×C4×C7—44no—
363C2×C4×C7—48no—
364C2×C4×C7—48no—
365C2×C4×C7—48no—
366C2×C4×C7#124116yescomplemented
367C2×C4×C7C22×D418yes—
368C2×C4×C7C22×D412yes—
369C2×C4×C7C22×D412yes—
370C2×C4×C7C2×#4112yes—
371C2×C4×C7C2×#4112yes—
372C2×C4×C7C2×#4112yes—
373C2×C4×C7C2×#4112yes—
374C2×Dic7—22no—
375C2×Dic7—22no—
376C2×Dic7—22no—
377C2×Dic7—22no—
378C2×Dic7—22no—
379C2×Dic7—24no—
380C2×Dic7—22no—
381C2×Dic7—22no—
382C2×Dic7—22no—
383C2×Dic7—24no—
384C2×Dic7—24no—
385C2×Dic7—22no—
386C2×Dic7—22no—
387C2×Dic7—24no—
388C2×Dic7—24no—
389C2×Dic7—22no—
390C2×Dic7—22no—
391C2×Dic7—48no—
392C2×Dic7—48no—
393C2×Dic7C2×#4114yes—
394C2×Dic7C2×#4114yes—
395Dic14—416no—
396C25C22×D711yescharacteristic
397C2×#41—24no—
398C2×#41—24no—
399C2×#41—24no—
400C22×Q8—74no—
401C22×Q8C22×D711yescharacteristic
402C22×D4C22×D712yes—
403C22×D4C22×D711yescharacteristic
404C22×D4C22×D714yes—
405C23×C4—24no—
406C23×C4—24no—
407C23×C4—24no—
408C23×C4—72no—
409C23×C4—72no—
410C23×C4C22×D712yes—
411C23×C4C22×D711yescharacteristic
412C23×C4C22×D712yes—
413C23×C4C22×D712yes—
414C23×C4C22×D711yescharacteristic
415C4⋊Q8—148no—
416#125—148no—
417#124—1416no—
418#123—28no—
419C22⋊Q8—28no—
420C22⋊Q8—1416no—
421#121—28no—
422#120—28no—
423C4×Q8—1416no—
424C4×D4—216no—
425#117—144no—
426#117—144no—
427#117C22⋊D718yes—
428C2×C4⋊C4—72no—
429C2×C4⋊C4—71no—
430C2×C4⋊C4—71no—
431C2×C4⋊C4—74no—
432C2×C4⋊C4—74no—
433C2×C4⋊C4—74no—
434C2×C4⋊C4C22×D714yes—
435C2×C4⋊C4C22×D712yes—
436C2×C22⋊C4—72no—
437C2×C22⋊C4—72no—
438C2×C22⋊C4—72no—
439C2×C22⋊C4—72no—
440C2×C22⋊C4—72no—
441C2×C22⋊C4—72no—
442C2×C22⋊C4—74no—
443C2×C22⋊C4—74no—
444C2×C22⋊C4—74no—
445C2×C22⋊C4—74no—
446C2×C22⋊C4—74no—
447C2×C22⋊C4—74no—
448C2×C22⋊C4—148no—
449C2×C22⋊C4C22×D714yes—
450C2×C22⋊C4C22×D714yes—
451C2×C22⋊C4C22×D712yes—
452C2×C42—74no—
453C2×C42—71no—
454C2×C42—71no—
455C2×C42—72no—
456C2×C42—72no—
457C2×C42—72no—
458C2×C42—72no—
459C2×C42—71no—
460C2×C42—71no—
461C2×C42—74no—
462C2×C42—144no—
463C2×C42—144no—
464C2×C42C22×D712yes—
465#95—72no—
466#95—72no—
467#95—72no—
468#95—72no—
469#95—74no—
470#95—74no—
471#95—74no—
472#95—74no—
473#95—74no—
474#95—74no—
475#95—74no—
476#95—74no—
477C22×C7—22no—
478C22×C7—22no—
479C22×C7—24no—
480C22×C7—24no—
481C22×C7—24no—
482C22×C7—24no—
483C22×C7—24no—
484C22×C7—416no—
485C22×C7—42no—
486C22×C7—42no—
487C22×C7—42no—
488C22×C7—42no—
489C22×C7—42no—
490C22×C7—42no—
491C22×C7—42no—
492C22×C7—44no—
493C22×C7—44no—
494C22×C7C2×#12414yes—
495C22×C7C23×D411yescharacteristic
496C22×C7C22×#4111yescharacteristic
497C22×C7C22×#4111yescharacteristic
498C22×C7C22×#4112yes—
499C22×C7#58512yes—
500C4×C7—28no—
501C4×C7—42no—
502C4×C7—42no—
503C4×C7C2×#12414yes—
504C4×C7C2×#12414yes—
505Dic7—24no—
506Dic7—24no—
507Dic7—42no—
508Dic7—42no—
509Dic7—44no—
510Dic7—42no—
511Dic7—42no—
512C24—22no—
513C24—24no—
514C24—22no—
515C24—22no—
516C24—42no—
517C24C23×D712yes—
518C24C23×D712yes—
519C24C23×D711yescharacteristic
520#41—416no—
521C2×Q8—22no—
522C2×Q8—22no—
523C2×Q8—22no—
524C2×Q8—148no—
525C2×Q8—148no—
526C2×Q8—284no—
527C2×D4—24no—
528C2×D4—24no—
529C2×D4—28no—
530C2×D4—24no—
531C2×D4—22no—
532C2×D4—22no—
533C2×D4—28no—
534C2×D4—22no—
535C2×D4—44no—
536C22×C4—22no—
537C22×C4—22no—
538C22×C4—22no—
539C22×C4—24no—
540C22×C4—24no—
541C22×C4—24no—
542C22×C4—24no—
543C22×C4—24no—
544C22×C4—24no—
545C22×C4—24no—
546C22×C4—24no—
547C22×C4—24no—
548C22×C4—416no—
549C22×C4—72no—
550C22×C4—72no—
551C22×C4—72no—
552C22×C4—72no—
553C22×C4—72no—
554C22×C4—72no—
555C22×C4—74no—
556C22×C4—144no—
557C22×C4—144no—
558C22×C4—144no—
559C22×C4—144no—
560C22×C4—282no—
561C22×C4—282no—
562C22×C4#115914yes—
563C22×C4#115914yes—
564C22×C4C2×C22⋊D714yes—
565C22×C4C23×D712yes—
566C22×C4C23×D712yes—
567C22×C4C23×D714yes—
568C22×C4C23×D711yescharacteristic
569C22×C4C23×D711yescharacteristic
570C4⋊C4—28no—
571C4⋊C4—142no—
572C4⋊C4—142no—
573C4⋊C4—148no—
574C4⋊C4—148no—
575C4⋊C4—144no—
576C4⋊C4—148no—
577C4⋊C4C2×C22⋊D718yes—
578C22⋊C4—28no—
579C22⋊C4—28no—
580C22⋊C4—78no—
581C22⋊C4—144no—
582C22⋊C4—144no—
583C22⋊C4—148no—
584C22⋊C4—148no—
585C22⋊C4—144no—
586C22⋊C4—144no—
587C22⋊C4—148no—
588C22⋊C4—144no—
589C22⋊C4—284no—
590C22⋊C4—284no—
591C22⋊C4—284no—
592C22⋊C4C2×C22⋊D718yes—
593C42—148no—
594C42—142no—
595C42—144no—
596C42—142no—
597C42—144no—
598C42—144no—
599C42—142no—
600C42—142no—
601C42—144no—
602C42—284no—
603C42C2×C22⋊D718yes—
604C2×C7—24no—
605C2×C7—44no—
606C2×C7—82no—
607C2×C7C22×#12411yescharacteristic
608C2×C7#344411yescharacteristic
609C2×C7#345511yescharacteristic
610C2×C7D4×#4112yes—
611C2×C7#347512yes—
612C23—22no—
613C23—22no—
614C23—28no—
615C23—22no—
616C23—22no—
617C23—22no—
618C23—22no—
619C23—22no—
620C23—22no—
621C23—22no—
622C23—22no—
623C23—24no—
624C23—24no—
625C23—22no—
626C23—48no—
627C23—48no—
628C23—44no—
629C23—44no—
630C23C2×#115912yes—
631C23C2×#115912yes—
632C23D7×#4114yes—
633C23C22×C22⋊D712yes—
634C23C24×D711yescharacteristic
635Q8—44no—
636Q8—2816no—
637D4—416no—
638D4—48no—
639D4—44no—
640C2×C4—24no—
641C2×C4—24no—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—22no—
647C2×C4—22no—
648C2×C4—44no—
649C2×C4—48no—
650C2×C4—48no—
651C2×C4—48no—
652C2×C4—74no—
653C2×C4—74no—
654C2×C4—142no—
655C2×C4—142no—
656C2×C4—142no—
657C2×C4—142no—
658C2×C4—142no—
659C2×C4—142no—
660C2×C4—142no—
661C2×C4—144no—
662C2×C4—142no—
663C2×C4—142no—
664C2×C4—144no—
665C2×C4—144no—
666C2×C4—142no—
667C2×C4—142no—
668C2×C4—144no—
669C2×C4—142no—
670C2×C4—144no—
671C2×C4—288no—
672C2×C4—288no—
673C2×C4#6499116yescomplemented
674C2×C4C2×#115912yes—
675C2×C4C2×#115912yes—
676C2×C4C2×#115912yes—
677C2×C4C2×#115912yes—
678C2×C4C22×C22⋊D718yes—
679C2×C4C22×C22⋊D712yes—
680C2×C4C22×C22⋊D712yes—
681C7#3481311yescharacteristic, complemented, Sylow
682C22—24no—
683C22—22no—
684C22—22no—
685C22—24no—
686C22—24no—
687C22—24no—
688C22—24no—
689C22—416no—
690C22—42no—
691C22—42no—
692C22—42no—
693C22—42no—
694C22—42no—
695C22—44no—
696C22—42no—
697C22—42no—
698C22—44no—
699C22C2×#649914yes—
700C22C22×#115911yescharacteristic
701C22C22×#115911yescharacteristic
702C22C2×D7×#4112yes—
703C22#9061612yes—
704C22C23×C22⋊D711yescharacteristic
705C4—28no—
706C4—42no—
707C4—42no—
708C4—144no—
709C4—144no—
710C4—282no—
711C4—284no—
712C4—282no—
713C4—282no—
714C4—282no—
715C4C2×#649914yes—
716C4C2×#649914yes—
717C2—24no—
718C2—44no—
719C2—82no—
720C2#1174308611yescharacteristic
721C2#1174308711yescharacteristic
722C2#1174308912yes—
723C2C22×#649911yescharacteristic
724C2#41×C22⋊D712yes—
subgroupG/H
centerC22×C4C23×D7
commutator, socle, cosocleC23×C7C25
FrattiniC23C24×D7
Fitting, prime radicalC2×C7×#525C2
hypercenterC2×#525D7
hypocenterC7#34813
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C22×C4 ◁ C2×#525

Complements

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

NH ≅ G/Ntype
2. C2×#90208C2semidirect
3. #11741531C2semidirect
4. #11741531C2semidirect
5. #11741472C2semidirect
6. C2×C4×C22⋊Dic7C2semidirect
7. #11740302C2semidirect
8. #11740218C2semidirect
9. #11740217C2semidirect
10. #11740107C2semidirect
11. #11740106C2semidirect
12. #11740034C2semidirect
13. #11739793C2semidirect
14. C4×#6499C2semidirect
15. Dic7×#117C2semidirect
32. C2×#6453C22semidirect
33. C2×#6451C22semidirect
35. C2×C4×Dic14C22semidirect
37. #90002C22semidirect
38. #90002C22semidirect
39. #90002C22semidirect
43. #89993C22semidirect
44. #89993C22semidirect
45. #89993C22semidirect
56. C4×C22⋊Dic7C22semidirect
57. C4×C22⋊Dic7C22semidirect
58. C4×C22⋊Dic7C22semidirect
60. #89754C22semidirect
61. #89754C22semidirect
62. #89749C22semidirect
63. C4⋊C4×Dic7C22semidirect
64. C4⋊C4×Dic7C22semidirect
65. #89746C22semidirect
67. #89725C22semidirect
69. #89719C22semidirect
72. #89717C22semidirect
73. #89717C22semidirect
75. #89704C22semidirect
76. C42×Dic7C22semidirect
249. C22⋊Dic7#41semidirect
366. C2×C4×C7#124semidirect
673. C2×C4#6499semidirect
681. C7#34813semidirect

Maximal subgroups

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

subgroupindex
C2×C7×#5252
C2×#902082
#117415312
#117414722
C2×C4×C22⋊Dic72
#117403022
#117402182
#117402172
#117401072
#117401062
#117400342
#117397932
C4×#64992
Dic7×#1172
#348137