Finite Group Databasebeta

← #14238628

Subgroups — #14238628

Order 1792.

2234 conjugacy classes of subgroups.

The subgroup lattice has 692 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C7×#3501C211yesmaximal, characteristic, complemented
2C2×#90241C211yesmaximal, characteristic
3#11741080C218yesmaximal, complemented
4#11741004C218yesmaximal, complemented
5#11740802C212yesmaximal, complemented
6#11740798C212yesmaximal, complemented
7#11740186C212yesmaximal, complemented
8#11740183C212yesmaximal, complemented
9#11740180C212yesmaximal, complemented
10C2×#89818C212yesmaximal, complemented
11#11739747C211yesmaximal, characteristic, complemented
12C22×#1157C2211yescharacteristic
13C23×D28C2211yescharacteristic
14C7×#554—24no—
15C7×#554C2214yescomplemented
16C7×D4×Q8C2214yescomplemented
17C7×#544—21no—
18C7×#543—21no—
19C7×#543—21no—
20C7×#533C2212yescomplemented
21C2×C7×C22⋊Q8C2212yes—
22C2×C7×C22⋊Q8C2212yescomplemented
23C7×#518—21no—
24C2×C4×C7×D4C2211yescharacteristic
25C2×#6505C2214yescomplemented
26C22×#1143C2214yescomplemented
27C2×#6500—21no—
28C2×#6493C2211yescharacteristic
29C2×#6487C2211yescharacteristic
30#90241—24no—
31#90241C2218yes—
32C2×#6457—21no—
33C2×#6447—21no—
34C2×D7×C22⋊C4—21no—
35C2×#6438C2211yescharacteristic
36C2×C4×D28C2211yescharacteristic
37#90000C2214yescomplemented
38#89999C2214yescomplemented
39#89979C2212yescomplemented
40C2×C22⋊(C7⋊C8)C2212yes—
41#89861C2214yescomplemented
42#89859C2214yescomplemented
43#89858C2214yescomplemented
44#89855C2214yescomplemented
45#89823C2218yescomplemented
46#89822C2214yescomplemented
47#89821C2218yescomplemented
48#89819C2218yescomplemented
49#89818C2214yes—
50#89818C2214yes—
51#89818C2218yescomplemented
52#89816C2214yescomplemented
53#89800C2218yescomplemented
54#89798C2218yescomplemented
55#89783C2218yescomplemented
56#89742C2214yescomplemented
57#89739C2214yescomplemented
58#89738C2214yescomplemented
59C2×#6383C2214yescomplemented
60#89698C2212yescomplemented
61#61570—71nomaximal, Sylow
62C24×D7—21no—
63C22×C7×Q8C2312yes—
64C22×C7×Q8C2312yescomplemented
65C22×C7×D4D411yescharacteristic
66C23×C4×C7C2311yescharacteristic
67C23×C4×C7C2311yescharacteristic
68C22×C22⋊D7—21no—
69C22×C22⋊D7—21no—
70C2×#1157—22no—
71C2×#1157—44no—
72C2×#1157C2314yes—
73C22×D28—21no—
74C22×D28—22no—
75C22×D28—44no—
76C22×D28C2311yescharacteristic
77C22×D28C2314yes—
78C22×D28C2311yescharacteristic
79C22×C4×D7—21no—
80C22×C4×D7—21no—
81C22×Dic14C2311yescharacteristic
82C7×C4⋊Q8—24no—
83C7×C4⋊Q8C2312yescomplemented
84C7×C4⋊Q8C2312yescomplemented
85C7×#125—24no—
86C7×#125—22no—
87C7×C22⋊Q8—22no—
88C7×C22⋊Q8—22no—
89C7×C22⋊Q8—22no—
90C7×C22⋊Q8—22no—
91C7×C22⋊Q8—22no—
92C7×C22⋊Q8—24no—
93C7×C22⋊Q8—24no—
94C7×C22⋊Q8—24no—
95C7×C22⋊Q8—24no—
96C7×C22⋊Q8C2314yes—
97C7×C22⋊Q8C2314yes—
98C7×C22⋊Q8C2314yescomplemented
99C4×C7×Q8—22no—
100C4×C7×Q8C2314yescomplemented
101C4×C7×D4—24no—
102C4×C7×D4—24no—
103C4×C7×D4D414yes—
104C4×C7×D4C2314yes—
105C7×#117—22no—
106C2×C7×C4⋊C4—22no—
107C2×C7×C4⋊C4—22no—
108C2×C7×C4⋊C4D411yescharacteristic
109C2×C7×C4⋊C4C2312yes—
110C2×C7×C4⋊C4C2312yescomplemented
111C2×C7×C22⋊C4—22no—
112C2×C7×C22⋊C4—22no—
113C2×C7×C22⋊C4D411yescharacteristic
114C2×C7×C22⋊C4D411yescharacteristic
115C2×C42×C7C2311yescharacteristic
116C2×C22⋊Dic7—21no—
117C2×#1144C2318yescomplemented
118#6505—48no—
119C2×#1143—48no—
120C2×#1143C2318yes—
121C2×#1143C2318yes—
122#6500—28no—
123#6493—22no—
124#6493C2314yes—
125C2×(C2×D7)⋊C4—21no—
126C2×(C2×D7)⋊C4—21no—
127C2×(C2×D7)⋊C4—21no—
128C2×(C2×D7)⋊C4—21no—
129C2×C4⋊Dic7C2311yescharacteristic
130#6487—22no—
131#6487C2314yes—
132C2×Dic7⋊C4—21no—
133C2×#1136C2314yescomplemented
134C22×C7⋊C8C2314yes—
135#6457—28no—
136#6447—28no—
137D7×C22⋊C4—28no—
138#6438—22no—
139#6438C2314yes—
140C4×D28—22no—
141C4×D28C2314yes—
142#6409C2318yescomplemented
143C22⋊(C7⋊C8)C2314yes—
144C22⋊(C7⋊C8)C2314yes—
145C22⋊(C7⋊C8)C2314yescomplemented
146#6384C2318yescomplemented
147#6383C2318yes—
148#6383C2318yes—
149#6381C2318yescomplemented
150C4⋊(C7⋊C8)C2314yescomplemented
151#6377C2314yescomplemented
152#3501D711yescharacteristic, complemented
153C2×#546—71no—
154#3314—78no—
155#3266—78no—
156#3215—72no—
157#3193—72no—
158#3189—72no—
159#3110—72no—
160#3007—72no—
161C2×#450—72no—
162#2973—71no—
163C24×C7C2×D411yescharacteristic
164C24×C7C2×D411yescharacteristic
165C23×D7—21no—
166C23×D7—21no—
167C23×D7—24no—
168C23×D7—44no—
169C23×D7—44no—
170C23×D7—82no—
171C2×C7×Q8—22no—
172C2×C7×Q8—22no—
173C2×C7×Q8—22no—
174C2×C7×Q8—44no—
175C2×C7×Q8—44no—
176C2×C7×Q8C2414yes—
177C2×C7×D4—24no—
178C2×C7×D4C2×D414yes—
179C22×C4×C7—22no—
180C22×C4×C7—22no—
181C22×C4×C7—22no—
182C22×C4×C7—22no—
183C22×C4×C7—42no—
184C22×C4×C7—42no—
185C22×C4×C7C2×D411yescharacteristic
186C22×C4×C7C2×D411yescharacteristic
187C22×C4×C7C2×D412yes—
188C22×C4×C7C2×D411yescharacteristic
189C22×C4×C7C2×D411yescharacteristic
190C22×C4×C7C2×D412yes—
191C22×C4×C7C2411yescharacteristic
192C22×C4×C7C2412yes—
193C22×C4×C7C2412yes—
194C2×C22⋊D7—24no—
195C2×C22⋊D7—24no—
196C2×C22⋊D7—44no—
197C2×C22⋊D7—82no—
198C22×Dic7—21no—
199C22×Dic7—21no—
200#1157—28no—
201#1157—44no—
202#1157—48no—
203C2×D28—21no—
204C2×D28—24no—
205C2×D28—28no—
206C2×D28—21no—
207C2×D28—24no—
208C2×D28—44no—
209C2×D28—42no—
210C2×D28—48no—
211C2×D28—44no—
212C2×D28C2412yes—
213C2×D28C2412yes—
214C2×C4×D7—24no—
215C2×C4×D7—24no—
216C2×C4×D7—44no—
217C2×C4×D7—82no—
218C2×Dic14—21no—
219C2×Dic14—42no—
220C2×Dic14C2412yes—
221C7×C4⋊C4—24no—
222C7×C4⋊C4—24no—
223C7×C4⋊C4—24no—
224C7×C4⋊C4—22no—
225C7×C4⋊C4—22no—
226C7×C4⋊C4—22no—
227C7×C4⋊C4—22no—
228C7×C4⋊C4—22no—
229C7×C4⋊C4—24no—
230C7×C4⋊C4C2×D414yes—
231C7×C4⋊C4C2414yes—
232C7×C22⋊C4—24no—
233C7×C22⋊C4—24no—
234C7×C22⋊C4—24no—
235C7×C22⋊C4C2×D414yes—
236C7×C22⋊C4C2×D414yes—
237C42×C7—24no—
238C42×C7C2×D412yes—
239C42×C7C2412yes—
240C22⋊Dic7—24no—
241#1144—48no—
242#1143—216no—
243#1143—48no—
244(C2×D7)⋊C4—24no—
245(C2×D7)⋊C4—24no—
246(C2×D7)⋊C4—24no—
247(C2×D7)⋊C4—24no—
248C4⋊Dic7—21no—
249C4⋊Dic7C2412yes—
250Dic7⋊C4—24no—
251#1136—44no—
252C2×C7⋊C8—44no—
253C2×C7⋊C8C2418yes—
254C22×#41—71no—
255C23×D4—71no—
256C2×#137—74no—
257C22×SD16—74no—
258#554—24no—
259#554C2×D714yescomplemented
260D4×Q8C2×D714yescomplemented
261#546—78no—
262#546—144no—
263#544—21no—
264#543—21no—
265#543—21no—
266#533C2×D712yescomplemented
267C2×#124—71no—
268C2×#123—141no—
269C2×C22⋊Q8—71no—
270C2×C22⋊Q8C2×D712yes—
271C2×C22⋊Q8C2×D712yescomplemented
272C2×#121—71no—
273C2×#121—141no—
274C2×#120—141no—
275#518—21no—
276C2×C4×D4—71no—
277C2×C4×D4C2×D711yescharacteristic
278C22×C22⋊C4—141no—
279#497—74no—
280#489—74no—
281#484—74no—
282#484—74no—
283#480—74no—
284#474—74no—
285#468—78no—
286#467—78no—
287#464—78no—
288#461—74no—
289#452—78no—
290#451—74no—
291#451—74no—
292#450—74no—
293#450—74no—
294#450—78no—
295#448—74no—
296#440—78no—
297#435—78no—
298#432—72no—
299#417—74no—
300C2×#102—74no—
301#407—72no—
302C2×C22⋊C8—72no—
303C23×C7—22no—
304C23×C7—41no—
305C23×C7—41no—
306C23×C7—41no—
307C23×C7—41no—
308C23×C7#13714yescomplemented
309C23×C7C22×D412yes—
310C23×C7C22×D412yes—
311C23×C7C22×D411yescharacteristic
312C22×D7—24no—
313C22×D7—22no—
314C22×D7—22no—
315C22×D7—48no—
316C22×D7—42no—
317C22×D7—42no—
318C22×D7—42no—
319C22×D7—42no—
320C22×D7—48no—
321C22×D7—42no—
322C22×D7—84no—
323C22×D7—816no—
324C7×Q8—28no—
325C7×Q8—82no—
326C7×Q8—82no—
327C7×Q8—82no—
328C7×D4—28no—
329C2×C4×C7—22no—
330C2×C4×C7—24no—
331C2×C4×C7—24no—
332C2×C4×C7—22no—
333C2×C4×C7—24no—
334C2×C4×C7—24no—
335C2×C4×C7—41no—
336C2×C4×C7—41no—
337C2×C4×C7—42no—
338C2×C4×C7—41no—
339C2×C4×C7—42no—
340C2×C4×C7—82no—
341C2×C4×C7—82no—
342C2×C4×C7—82no—
343C2×C4×C7—82no—
344C2×C4×C7C22×D412yes—
345C2×C4×C7C22×D411yescharacteristic
346C2×C4×C7C22×D412yes—
347C2×C4×C7C22×D412yes—
348C2×C4×C7C22×D412yes—
349C2×C4×C7C2511yescharacteristic
350C22⋊D7—48no—
351C22⋊D7—84no—
352C2×Dic7—22no—
353C2×Dic7—22no—
354C2×Dic7—42no—
355C2×Dic7—42no—
356D28—24no—
357D28—22no—
358D28—24no—
359D28—48no—
360D28—42no—
361D28H(5,𝔽2)14yes—
362C4×D7—48no—
363C4×D7—84no—
364Dic14—24no—
365Dic14—42no—
366C7⋊C8—28no—
367C25—141no—
368C2×#41—74no—
369C2×#41—142no—
370C2×#41—284no—
371C22×Q8—71no—
372C22×Q8C22×D712yes—
373C22×Q8C22×D712yescomplemented
374C22×D4—71no—
375C22×D4—74no—
376C22×D4—71no—
377C22×D4—141no—
378C22×D4—141no—
379C22×D4—141no—
380C22×D4—142no—
381C22×D4—284no—
382C22×D4C22⋊D711yescharacteristic
383C23×C4—141no—
384C23×C4—141no—
385C23×C4C22×D711yescharacteristic
386C23×C4C22×D711yescharacteristic
387#137—288no—
388C2×Q16—78no—
389C2×SD16—78no—
390C2×SD16—78no—
391C2×SD16—288no—
392C2×M16—74no—
393C22×C8—74no—
394C4⋊Q8—24no—
395C4⋊Q8C22×D712yescomplemented
396C4⋊Q8C22×D712yescomplemented
397#125—24no—
398#125—22no—
399#124—74no—
400#124—142no—
401#123—148no—
402C22⋊Q8—22no—
403C22⋊Q8—22no—
404C22⋊Q8—22no—
405C22⋊Q8—22no—
406C22⋊Q8—22no—
407C22⋊Q8—24no—
408C22⋊Q8—24no—
409C22⋊Q8—24no—
410C22⋊Q8—24no—
411C22⋊Q8—74no—
412C22⋊Q8—142no—
413C22⋊Q8C22×D714yes—
414C22⋊Q8C22×D714yes—
415C22⋊Q8C22×D714yescomplemented
416#121—74no—
417#121—142no—
418#121—148no—
419#120—148no—
420C4×Q8—22no—
421C4×Q8C22×D714yescomplemented
422C4×D4—24no—
423C4×D4—24no—
424C4×D4—74no—
425C4×D4—142no—
426C4×D4C22⋊D714yes—
427C4×D4C22×D714yes—
428#117—22no—
429C2×C4⋊C4—22no—
430C2×C4⋊C4—22no—
431C2×C4⋊C4—71no—
432C2×C4⋊C4—141no—
433C2×C4⋊C4C22⋊D711yescharacteristic
434C2×C4⋊C4C22×D712yes—
435C2×C4⋊C4C22×D712yescomplemented
436C2×C22⋊C4—22no—
437C2×C22⋊C4—22no—
438C2×C22⋊C4—141no—
439C2×C22⋊C4—141no—
440C2×C22⋊C4—141no—
441C2×C22⋊C4—141no—
442C2×C22⋊C4—141no—
443C2×C22⋊C4—148no—
444C2×C22⋊C4C22⋊D711yescharacteristic
445C2×C22⋊C4C22⋊D711yescharacteristic
446C2×C42C22×D711yescharacteristic
447#107—78no—
448C4⋊C8—74no—
449#103—78no—
450#103—78no—
451#102—78no—
452#102—78no—
453C22⋊C8—74no—
454C22⋊C8—74no—
455C22⋊C8—74no—
456#97—74no—
457C22×C7—21no—
458C22×C7—22no—
459C22×C7—21no—
460C22×C7—22no—
461C22×C7—22no—
462C22×C7—22no—
463C22×C7—22no—
464C22×C7—44no—
465C22×C7—82no—
466C22×C7C2×#13712yes—
467C22×C7C2×#13714yes—
468C22×C7C23×D411yescharacteristic
469C2×D7—24no—
470C2×D7—48no—
471C2×D7—42no—
472C2×D7—42no—
473C2×D7—42no—
474C2×D7—42no—
475C2×D7—42no—
476C2×D7—816no—
477C2×D7—84no—
478C4×C7—22no—
479C4×C7—21no—
480C4×C7—22no—
481C4×C7—22no—
482C4×C7—22no—
483C4×C7—44no—
484C4×C7—44no—
485C4×C7C2×H(5,𝔽2)12yes—
486Dic7—42no—
487Dic7—42no—
488C24—141no—
489C24—141no—
490C24—144no—
491C24—284no—
492C24—284no—
493C24—562no—
494C24C2×C22⋊D711yescharacteristic
495C24C2×C22⋊D711yescharacteristic
496#41—148no—
497#41—284no—
498#41—288no—
499C2×Q8—22no—
500C2×Q8—22no—
501C2×Q8—22no—
502C2×Q8—44no—
503C2×Q8—44no—
504C2×Q8—72no—
505C2×Q8—141no—
506C2×Q8—282no—
507C2×Q8C23×D714yes—
508C2×D4—24no—
509C2×D4—72no—
510C2×D4—72no—
511C2×D4—144no—
512C2×D4—148no—
513C2×D4—144no—
514C2×D4—144no—
515C2×D4—141no—
516C2×D4—144no—
517C2×D4—141no—
518C2×D4—284no—
519C2×D4—282no—
520C2×D4—288no—
521C2×D4—284no—
522C2×D4—284no—
523C2×D4—562no—
524C2×D4C2×C22⋊D714yes—
525C22×C4—22no—
526C22×C4—22no—
527C22×C4—22no—
528C22×C4—22no—
529C22×C4—42no—
530C22×C4—42no—
531C22×C4—141no—
532C22×C4—141no—
533C22×C4—144no—
534C22×C4—144no—
535C22×C4—284no—
536C22×C4—562no—
537C22×C4C2×C22⋊D711yescharacteristic
538C22×C4C2×C22⋊D711yescharacteristic
539C22×C4C2×C22⋊D711yescharacteristic
540C22×C4C2×C22⋊D711yescharacteristic
541C22×C4C2×C22⋊D712yes—
542C22×C4C2×C22⋊D712yes—
543C22×C4C23×D711yescharacteristic
544C22×C4C23×D712yes—
545C22×C4C23×D712yes—
546Q16—288no—
547SD16—1416no—
548SD16—288no—
549M16—284no—
550C2×C8—78no—
551C2×C8—284no—
552C4⋊C4—24no—
553C4⋊C4—24no—
554C4⋊C4—24no—
555C4⋊C4—22no—
556C4⋊C4—22no—
557C4⋊C4—22no—
558C4⋊C4—22no—
559C4⋊C4—22no—
560C4⋊C4—24no—
561C4⋊C4—72no—
562C4⋊C4—144no—
563C4⋊C4—141no—
564C4⋊C4C2×C22⋊D714yes—
565C4⋊C4C23×D714yes—
566C22⋊C4—24no—
567C22⋊C4—24no—
568C22⋊C4—24no—
569C22⋊C4—144no—
570C22⋊C4—144no—
571C22⋊C4—144no—
572C22⋊C4—144no—
573C22⋊C4—144no—
574C22⋊C4C2×C22⋊D714yes—
575C22⋊C4C2×C22⋊D714yes—
576C42—24no—
577C42C2×C22⋊D712yes—
578C42C23×D712yes—
579C2×C7—22no—
580C2×C7—24no—
581C2×C7—42no—
582C2×C7#348411yescharacteristic
583C2×C7C22×#13711yescharacteristic
584C2×C7#358511yescharacteristic
585D7—44no—
586D7—82no—
587C23—22no—
588C23—41no—
589C23—41no—
590C23—41no—
591C23—41no—
592C23—144no—
593C23—142no—
594C23—142no—
595C23—288no—
596C23—282no—
597C23—282no—
598C23—282no—
599C23—282no—
600C23—288no—
601C23—282no—
602C23—564no—
603C23—5616no—
604C23#650514yescomplemented
605C23C22×C22⋊D712yes—
606C23C22×C22⋊D711yescharacteristic
607C23C22×C22⋊D712yes—
608Q8—28no—
609Q8—82no—
610Q8—82no—
611Q8—82no—
612Q8—144no—
613Q8—282no—
614D4—28no—
615D4—74no—
616D4—144no—
617D4—142no—
618D4—144no—
619D4—288no—
620D4—282no—
621D4—288no—
622D4—564no—
623C2×C4—22no—
624C2×C4—24no—
625C2×C4—24no—
626C2×C4—22no—
627C2×C4—24no—
628C2×C4—24no—
629C2×C4—41no—
630C2×C4—42no—
631C2×C4—41no—
632C2×C4—42no—
633C2×C4—41no—
634C2×C4—82no—
635C2×C4—82no—
636C2×C4—82no—
637C2×C4—82no—
638C2×C4—142no—
639C2×C4—142no—
640C2×C4—288no—
641C2×C4—282no—
642C2×C4—282no—
643C2×C4—564no—
644C2×C4C22×C22⋊D712yes—
645C2×C4C22×C22⋊D711yescharacteristic
646C2×C4C22×C22⋊D712yes—
647C2×C4C22×C22⋊D712yes—
648C2×C4C22×C22⋊D712yes—
649C2×C4C24×D711yescharacteristic
650C8—148no—
651C7#6157011yescharacteristic, complemented, Sylow
652C22—21no—
653C22—22no—
654C22—21no—
655C22—22no—
656C22—22no—
657C22—22no—
658C22—22no—
659C22—44no—
660C22—82no—
661C22—144no—
662C22—288no—
663C22—282no—
664C22—282no—
665C22—282no—
666C22—282no—
667C22—282no—
668C22—5616no—
669C22—564no—
670C22C2×#650512yes—
671C22C2×#650514yes—
672C22C23×C22⋊D711yescharacteristic
673C4—22no—
674C4—21no—
675C4—22no—
676C4—22no—
677C4—22no—
678C4—44no—
679C4—44no—
680C4—282no—
681C4—282no—
682C4D7×H(5,𝔽2)12yes—
683C2—22no—
684C2—24no—
685C2—42no—
686C2—284no—
687C2—562no—
688C2C22×#650511yescharacteristic
689C2#1174435211yescharacteristic
690C2#1174436611yescharacteristic
subgroupG/H
centerC22C23×C22⋊D7
commutator, cosocleC2×C4×C7C25
FrattiniC2×C4C24×D7
FittingC7×#3501C2
socleC22×C7C23×D4
prime radicalC2×#90241C2
hypercenter#3501D7
hypocenterC7#61570
LCSG ▷ C2×C4×C7 ▷ C2×C7 ▷ C7
UCSC1 ◁ C22 ◁ C2×C4×D4 ◁ #3501

Complements

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

NH ≅ G/Ntype
1. C7×#3501C2semidirect
3. #11741080C2semidirect
4. #11741004C2semidirect
5. #11740802C2semidirect
6. #11740798C2semidirect
7. #11740186C2semidirect
8. #11740183C2semidirect
9. #11740180C2semidirect
10. C2×#89818C2semidirect
11. #11739747C2semidirect
15. C7×#554C22semidirect
16. C7×D4×Q8C22semidirect
20. C7×#533C22semidirect
22. C2×C7×C22⋊Q8C22semidirect
25. C2×#6505C22semidirect
26. C22×#1143C22semidirect
37. #90000C22semidirect
38. #89999C22semidirect
39. #89979C22semidirect
41. #89861C22semidirect
42. #89859C22semidirect
43. #89858C22semidirect
44. #89855C22semidirect
45. #89823C22semidirect
46. #89822C22semidirect
47. #89821C22semidirect
48. #89819C22semidirect
51. #89818C22semidirect
52. #89816C22semidirect
53. #89800C22semidirect
54. #89798C22semidirect
55. #89783C22semidirect
56. #89742C22semidirect
57. #89739C22semidirect
58. #89738C22semidirect
59. C2×#6383C22semidirect
60. #89698C22semidirect
64. C22×C7×Q8C23semidirect
83. C7×C4⋊Q8C23semidirect
84. C7×C4⋊Q8C23semidirect
98. C7×C22⋊Q8C23semidirect
100. C4×C7×Q8C23semidirect
110. C2×C7×C4⋊C4C23semidirect
117. C2×#1144C23semidirect
133. C2×#1136C23semidirect
142. #6409C23semidirect
145. C22⋊(C7⋊C8)C23semidirect
146. #6384C23semidirect
149. #6381C23semidirect
150. C4⋊(C7⋊C8)C23semidirect
151. #6377C23semidirect
152. #3501D7semidirect
259. #554C2×D7semidirect
260. D4×Q8C2×D7semidirect
266. #533C2×D7semidirect
271. C2×C22⋊Q8C2×D7semidirect
308. C23×C7#137semidirect
373. C22×Q8C22×D7semidirect
395. C4⋊Q8C22×D7semidirect
396. C4⋊Q8C22×D7semidirect
415. C22⋊Q8C22×D7semidirect
421. C4×Q8C22×D7semidirect
435. C2×C4⋊C4C22×D7semidirect
604. C23#6505semidirect
651. C7#61570semidirect

Maximal subgroups

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

subgroupindex
C7×#35012
C2×#902412
#117410802
#117410042
#117408022
#117407982
#117401862
#117401832
#117401802
C2×#898182
#117397472
#615707