Finite Group Databasebeta

← D73⋊#2955 #34031449

Subgroups — D73⋊#2955 #34031449

Order 18688.

2666 conjugacy classes of subgroups.

The subgroup lattice has 722 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D73⋊#131C212yesmaximal, complemented
2#22626704C218yesmaximal, complemented
3#22626703C218yesmaximal, complemented
4D73⋊#444C214yesmaximal, complemented
5D73⋊#443C214yesmaximal, complemented
6D73⋊#430C211yesmaximal, characteristic, complemented
7D73⋊#421C212yesmaximal, complemented
8C2×#17989553C211yesmaximal, characteristic, complemented
9#575×D73C211yesmaximal, characteristic
10C2×#14556679C2214yescomplemented
11D73⋊#131—22no—
12D73⋊#131—22no—
13D73⋊#131—24no—
14D73⋊#131C2214yescomplemented
15D73⋊#131C2214yescomplemented
16D73⋊#131C2218yescomplemented
17C2×#14556678—24no—
18C2×#14556678C2214yescomplemented
19C2×D73⋊M16—22no—
20C2×D73⋊M16C2212yes—
21C22×#11924036—22no—
22C22×#11924036C2211yescharacteristic
23C2×#14556670C2211yescharacteristic
24#17989634C2218yescomplemented
25#17989633C2218yescomplemented
26#17989632C22116yescomplemented
27#17989631C2218yescomplemented
28#17989630C22116yescomplemented
29#17989629C2218yescomplemented
30#17989602C2218yescomplemented
31D73⋊#108C2214yescomplemented
32#17989586C2214yescomplemented
33#17989585C2214yescomplemented
34#17989584C2218yescomplemented
35D73⋊#104C2218yescomplemented
36#17989553C2218yescomplemented
37C2×#14556645C2212yescomplemented
38C2×C8×#64408C2212yescomplemented
39C2×#41×D73C2212yes—
40#17989387C411yescharacteristic, complemented
41#17989386C2214yes—
42#17989385C412yescomplemented
43#17989384C414yescomplemented
44#17989383C2214yes—
45#137×D73C414yescomplemented
46AGL(1,ℤ/8)×D73C414yescomplemented
47#135×D73C2214yes—
48C2×M16×D73C2211yescharacteristic
49#575×C73C411yescharacteristic, complemented
50#14556679—24no—
51#14556679—24no—
52#14556679C2318yescomplemented
53#14556679C2318yescomplemented
54#14556678—24no—
55#14556678—24no—
56#14556678—28no—
57#14556678—28no—
58#14556678—28no—
59#14556678—28no—
60#14556678C2318yescomplemented
61#14556678C2318yescomplemented
62C2×#11924038—24no—
63C2×#11924038C2314yes—
64D73⋊M16—24no—
65D73⋊M16—24no—
66D73⋊M16—28no—
67D73⋊M16—22no—
68D73⋊M16—22no—
69D73⋊M16C2314yes—
70D73⋊M16C2314yes—
71C2×#11924037—24no—
72C2×#11924037—22no—
73C2×#11924036—24no—
74C2×#11924036—24no—
75C2×#11924036—28no—
76C2×#11924036—24no—
77C2×#11924036—22no—
78C2×#11924036D412yes—
79C2×#11924036D412yes—
80C2×#11924036D412yes—
81C2×#11924036C2314yes—
82C2×#11924036C2311yescharacteristic
83C2×#11924036C2311yescharacteristic
84C22×#10596833—24no—
85C22×#10596833D412yes—
86#14556670—22no—
87#14556670C2314yes—
88C2×C4⋊#64408—21no—
89C2×C22⋊#64408—21no—
90C2×C4×#64408C2312yes—
91#14556662C2318yescomplemented
92#14556661C2318yescomplemented
93#14556656C23116yescomplemented
94#14556655C23116yescomplemented
95#14556645C2318yescomplemented
96C8×#64408C2318yescomplemented
97C2×#11924029C2312yes—
98C2×#11924028—22no—
99C2×#11924028C2×C412yes—
100C2×#11924027—22no—
101C2×#11924027C2312yes—
102#41×D73—22no—
103#41×D73—22no—
104#41×D73—22no—
105#41×D73—22no—
106#41×D73C2×C414yes—
107#41×D73C2×C414yes—
108#41×D73C2314yes—
109#41×D73C2314yes—
110C2×Q8×D73C2×C412yes—
111C2×D4×D73—22no—
112C2×D4×D73C2×C412yes—
113C22×C4×D73—22no—
114C22×C4×D73C2311yescharacteristic
115#14556624C2×C414yescomplemented
116#14556623C2×C418yescomplemented
117#14556622C2×C414yescomplemented
118#14556621C2×C414yescomplemented
119#14556620C2×C418yescomplemented
120#14556619C2×C414yescomplemented
121#14556618C2×C418yescomplemented
122#14556617C2×C414yescomplemented
123#14556616C2×C414yescomplemented
124#14556615C2×C418yescomplemented
125#14556614C2314yes—
126#14556613C2×C414yes—
127#14556612C2318yes—
128#14556611C2×C418yes—
129#14556610C2314yes—
130Q16×D73C2×C414yes—
131SD16×D73C2×C418yes—
132D8×D73C2×C414yes—
133C2×#11924012C2×C411yescharacteristic
134C2×#11924011C2×C412yes—
135M16×D73C2×C414yes—
136M16×D73C2314yes—
137C2×C8×D73C2312yes—
138C2×#41×C73C2×C412yes—
139#137×C73C2×C414yescomplemented
140AGL(1,ℤ/8)×C73C2×C414yescomplemented
141#135×C73C2×C414yes—
142C2×M16×C73C2×C411yescharacteristic
143C22×#64408—22no—
144#11924038—24no—
145#11924038—28no—
146#11924038—28no—
147#11924038C2418yes—
148#11924037—24no—
149#11924037—24no—
150#11924037—28no—
151#11924037—28no—
152#11924036—24no—
153#11924036—24no—
154#11924036—28no—
155#11924036—28no—
156#11924036C2×D411yescharacteristic
157#11924036C2×D412yes—
158#11924036C2×D414yes—
159#11924036C2×D411yescharacteristic
160#11924036C2×D414yes—
161#11924036C2412yes—
162#11924036C2412yes—
163C2×#10596833—24no—
164C2×#10596833—28no—
165C2×#10596833—28no—
166C2×#10596833C2×D414yes—
167C2×#10596833C2×D414yes—
168C2×#10596833C2×D412yes—
169C2×#10596833C2×D412yes—
170C4⋊#64408—24no—
171C22⋊#64408—24no—
172C4×#64408—22no—
173C4×#64408C2414yes—
174C23×D73—22no—
175C23×D73#4111yescharacteristic
176#11924029—22no—
177#11924029—22no—
178#11924029C22×C414yes—
179#11924029C2414yes—
180#11924028—22no—
181#11924028—22no—
182#11924028—24no—
183#11924028—24no—
184#11924028—24no—
185#11924028—24no—
186#11924028C22×C414yes—
187#11924028C22×C414yes—
188#11924027—24no—
189#11924027—24no—
190#11924027—24no—
191#11924027—24no—
192#11924027—22no—
193#11924027—22no—
194#11924027C22×C414yes—
195#11924027C2414yes—
196C2×Dic146—22no—
197C2×Dic146C22×C412yes—
198Q8×D73—22no—
199Q8×D73—22no—
200Q8×D73C22×C414yes—
201Q8×D73C22×C414yes—
202C2×D292—22no—
203C2×D292C22×C412yes—
204C2×C22⋊D73—22no—
205C2×C22⋊D73—22no—
206C2×C22⋊D73—22no—
207D4×D73—24no—
208D4×D73—24no—
209D4×D73—24no—
210D4×D73—24no—
211D4×D73—22no—
212D4×D73—22no—
213D4×D73C22×C414yes—
214D4×D73C22×C414yes—
215C22×Dic73—22no—
216C22×Dic73C2×D411yescharacteristic
217C2×C4×D73—22no—
218C2×C4×D73—22no—
219C2×C4×D73—22no—
220C2×C4×D73—24no—
221C2×C4×D73—24no—
222C2×C4×D73—24no—
223C2×C4×D73—24no—
224C2×C4×D73C22×C412yes—
225C2×C4×D73C22×C411yescharacteristic
226C2×C4×D73C2×D412yes—
227C2×C4×D73C2×D411yescharacteristic
228C2×C4×D73#4111yescharacteristic
229C2×C4×D73#4112yes—
230C2×C4×D73C2411yescharacteristic
231C2×C4×D73C2412yes—
232Dic292C22×C414yes—
233#11924018C22×C418yes—
234#11924017C22×C418yes—
235#11924016C22×C418yes—
236#11924015C22×C418yes—
237D584C22×C414yes—
238#11924013C22×C418yes—
239#11924012C22×C414yes—
240#11924011C22×C418yes—
241C2×#10596831C22×C412yes—
242C8×D73C22×C414yes—
243C8×D73C2414yes—
244#41×C73—22no—
245#41×C73—22no—
246#41×C73C22×C414yes—
247#41×C73C22×C414yes—
248C2×Q8×C73C22×C412yes—
249C2×D4×C73—22no—
250C2×D4×C73C22×C412yes—
251C22×C4×C73—22no—
252C22×C4×C73C22×C411yescharacteristic
253Q16×C73C22×C414yes—
254SD16×C73C22×C418yes—
255D8×C73C22×C414yes—
256M16×C73C22×C414yes—
257C2×C8×C73C22×C412yes—
258C23×C73—22no—
259C23×C73C4×D411yescharacteristic
260C22×D73—22no—
261C22×D73—24no—
262C22×D73—24no—
263C22×D73—42no—
264C22×D73—48no—
265C22×D73C4×D412yes—
266C22×D73C4×D411yescharacteristic
267C22×D73C2×#4111yescharacteristic
268C22×D73C2×#4112yes—
269C2×#64408—24no—
270C2×#64408—44no—
271Q8×C73—22no—
272Q8×C73C23×C414yes—
273D4×C73—24no—
274D4×C73—24no—
275D4×C73—22no—
276D4×C73C23×C414yes—
277C2×C4×C73—22no—
278C2×C4×C73—24no—
279C2×C4×C73—24no—
280C2×C4×C73C4×D412yes—
281C2×C4×C73C4×D411yescharacteristic
282C2×C4×C73C23×C411yescharacteristic
283C2×C4×C73C23×C412yes—
284C22⋊D73—24no—
285C22⋊D73—24no—
286C22⋊D73—24no—
287C22⋊D73—24no—
288C22⋊D73—24no—
289C22⋊D73—24no—
290C2×Dic73—22no—
291C2×Dic73—24no—
292C2×Dic73—24no—
293C2×Dic73C4×D412yes—
294C2×Dic73C4×D411yescharacteristic
295C2×Dic73C22×D412yes—
296C2×Dic73C22×D411yescharacteristic
297D292—24no—
298D292—24no—
299D292—22no—
300D292C23×C414yes—
301C4×D73—24no—
302C4×D73—24no—
303C4×D73—24no—
304C4×D73—24no—
305C4×D73—24no—
306C4×D73—24no—
307C4×D73C4×D412yes—
308C4×D73C4×D412yes—
309C4×D73C4×D412yes—
310C4×D73C23×C411yescharacteristic
311C4×D73C23×C412yes—
312C4×D73C22×D411yescharacteristic
313C4×D73C22×D412yes—
314C4×D73C2×#4112yes—
315C4×D73C2×#4111yescharacteristic
316C4×D73C2511yescharacteristic
317Dic146—22no—
318Dic146—24no—
319Dic146—24no—
320Dic146C23×C414yes—
321#10596833—28no—
322#10596833C22×D412yes—
323#10596833C22×D414yes—
324#10596833C22×D412yes—
325C8×C73C23×C414yes—
326#10596831C23×C414yes—
327C22×C73—24no—
328C22×C73—41no—
329C22×C73—44no—
330C22×C73C2×C4×D412yes—
331C22×C73C2×C4×D411yescharacteristic
332C2×D73—22no—
333C2×D73—24no—
334C2×D73—24no—
335C2×D73—41no—
336C2×D73—42no—
337C2×D73—48no—
338C2×D73—44no—
339C2×D73—48no—
340C2×D73C2×C4×D412yes—
341C2×D73C2×C4×D411yescharacteristic
342C2×D73C22×#4111yescharacteristic
343#64408—44no—
344C4×C73—24no—
345C4×C73C2×C4×D412yes—
346C4×C73C2×C4×D411yescharacteristic
347C4×C73C24×C411yescharacteristic
348Dic73—24no—
349Dic73C2×C4×D411yescharacteristic
350Dic73C2×C4×D412yes—
351Dic73C23×D411yescharacteristic
352C2×#2955—731nomaximal, Sylow
353C2×C73—22no—
354C2×C73—21no—
355C2×C73—44no—
356C2×C73C22×C4×D411yescharacteristic
357D73—21no—
358D73—22no—
359D73—44no—
360D73#295512yescomplemented
361C2×#575—731no—
362C22×#131—732no—
363#2955—738no—
364#2955—738no—
365C2×#444—734no—
366C2×#443—734no—
367C2×#430—731no—
368C2×#421—732no—
369C2×#405—731no—
370C73C2×#295511yescharacteristic, complemented, Sylow
371C22×#41—732no—
372#575—732no—
373#575—734no—
374#575—734no—
375#575—734no—
376#575—731no—
377#575#6440811yescharacteristic, complemented
378C2×#137—734no—
379C2×AGL(1,ℤ/8)—734no—
380C2×#135—734no—
381C2×#131—734no—
382C2×#131—734no—
383C2×#131—734no—
384C2×#131—738no—
385C2×#131—734no—
386C2×#131—1464no—
387C2×#131—1462no—
388C2×#131—1462no—
389C2×#131—1464no—
390C22×M16—731no—
391C22×M16—732no—
392C22×M16—1462no—
393C23×C8—731no—
394C23×C8—1462no—
395C2×#117—731no—
396#444—7316no—
397#444—738no—
398#444—738no—
399#443—738no—
400#443—7316no—
401#443—738no—
402#430—738no—
403C2×#108—734no—
404#421—738no—
405#421—734no—
406#421—734no—
407C2×#104—738no—
408#405—738no—
409C2×#97—732no—
410C2×C4×C8—732no—
411C2×#41—734no—
412C2×#41—734no—
413C2×#41—734no—
414C2×#41—734no—
415C2×#41—732no—
416C2×#41—732no—
417C2×#41—732no—
418C2×#41—1462no—
419C2×#41—1462no—
420C2×#41—1462no—
421C2×#41—1462no—
422C2×#41—1462no—
423C2×#41—1462no—
424C2×#41C2×#6440812yes—
425C22×Q8—732no—
426C22×D4—732no—
427C22×D4—1462no—
428C23×C4—731no—
429C23×C4—1462no—
430#137—734no—
431#137—734no—
432#137—738no—
433#137—738no—
434#137—734no—
435#137C2×#6440814yescomplemented
436AGL(1,ℤ/8)—734no—
437AGL(1,ℤ/8)—734no—
438AGL(1,ℤ/8)—738no—
439AGL(1,ℤ/8)—738no—
440AGL(1,ℤ/8)—734no—
441AGL(1,ℤ/8)C2×#6440814yescomplemented
442#135—738no—
443#135—734no—
444#135—738no—
445#135—734no—
446#135—734no—
447#135C2×#6440814yes—
448C2×Q16—734no—
449C2×SD16—738no—
450C2×D8—734no—
451#131—738no—
452#131—738no—
453#131—738no—
454#131—738no—
455#131—1468no—
456#131—1468no—
457#131—1468no—
458#131—1468no—
459#131—1464no—
460#131—1464no—
461#131—1464no—
462#131—1464no—
463C2×M16—731no—
464C2×M16—734no—
465C2×M16—734no—
466C2×M16—732no—
467C2×M16—734no—
468C2×M16—734no—
469C2×M16—734no—
470C2×M16—1464no—
471C2×M16—1464no—
472C2×M16—1464no—
473C2×M16—1468no—
474C2×M16—1464no—
475C2×M16—1462no—
476C2×M16—1462no—
477C2×M16—1462no—
478C2×M16C2×#6440811yescharacteristic
479C22×C8—732no—
480C22×C8—732no—
481C22×C8—732no—
482C22×C8—732no—
483C22×C8—731no—
484C22×C8—731no—
485C22×C8—734no—
486C22×C8—732no—
487C22×C8—1464no—
488C22×C8—1464no—
489C22×C8—1464no—
490C22×C8—1464no—
491C22×C8—1468no—
492C22×C8—1462no—
493#117—734no—
494#117—1462no—
495C2×C4⋊C4—1461no—
496C2×C22⋊C4—1461no—
497C2×C42—732no—
498#108—738no—
499#108—738no—
500#104—7316no—
501#104—7316no—
502#97—738no—
503C4×C8—738no—
504C24—731no—
505C24—1462no—
506#41—22no—
507#41—22no—
508#41—734no—
509#41—734no—
510#41—734no—
511#41—734no—
512#41—734no—
513#41—734no—
514#41—1464no—
515#41—1464no—
516#41—1464no—
517#41—1464no—
518#41—1464no—
519#41—1464no—
520#41—1462no—
521#41—1464no—
522#41—1464no—
523#41—1462no—
524#41—1462no—
525#41—1462no—
526#41—1462no—
527#41—1462no—
528#41C22×#6440814yes—
529#41C22×#6440814yes—
530C2×Q8—734no—
531C2×Q8—734no—
532C2×Q8—732no—
533C2×Q8—1462no—
534C2×Q8—1462no—
535C2×Q8—1462no—
536C2×Q8C22×#6440812yes—
537C2×D4—22no—
538C2×D4—734no—
539C2×D4—734no—
540C2×D4—732no—
541C2×D4—1462no—
542C2×D4—1462no—
543C2×D4—1462no—
544C2×D4—1462no—
545C2×D4—1464no—
546C2×D4—1464no—
547C2×D4—1464no—
548C2×D4—1464no—
549C2×D4—1462no—
550C2×D4—1462no—
551C2×D4C22×#6440812yes—
552C22×C4—22no—
553C22×C4—731no—
554C22×C4—732no—
555C22×C4—731no—
556C22×C4—731no—
557C22×C4—732no—
558C22×C4—732no—
559C22×C4—731no—
560C22×C4—731no—
561C22×C4—732no—
562C22×C4—1462no—
563C22×C4—1464no—
564C22×C4—1464no—
565C22×C4—1464no—
566C22×C4—1464no—
567C22×C4—1462no—
568C22×C4—1462no—
569C22×C4—1462no—
570C22×C4—1462no—
571C22×C4C22×#6440811yescharacteristic
572Q16—738no—
573Q16—734no—
574Q16C22×#6440814yes—
575SD16—738no—
576SD16—738no—
577SD16—738no—
578SD16C22×#6440818yes—
579D8—738no—
580D8—734no—
581D8C22×#6440814yes—
582M16—734no—
583M16—738no—
584M16—738no—
585M16—1468no—
586M16—1468no—
587M16—1468no—
588M16—1468no—
589M16—1464no—
590M16—1464no—
591M16—1464no—
592M16C22×#6440814yes—
593C2×C8—734no—
594C2×C8—734no—
595C2×C8—732no—
596C2×C8—732no—
597C2×C8—731no—
598C2×C8—732no—
599C2×C8—734no—
600C2×C8—731no—
601C2×C8—734no—
602C2×C8—732no—
603C2×C8—732no—
604C2×C8—732no—
605C2×C8—734no—
606C2×C8—734no—
607C2×C8—1468no—
608C2×C8—1468no—
609C2×C8—1468no—
610C2×C8—1468no—
611C2×C8—1464no—
612C2×C8—1464no—
613C2×C8—1464no—
614C2×C8C22×#6440812yes—
615C4⋊C4—1464no—
616C22⋊C4—1464no—
617C42—734no—
618C42—1462no—
619C23—22no—
620C23—2928no—
621C23—2922no—
622C23—732no—
623C23—731no—
624C23—731no—
625C23—732no—
626C23—1464no—
627C23—1464no—
628C23—1462no—
629C23D4×#6440811yescharacteristic
630Q8—22no—
631Q8—734no—
632Q8—1464no—
633Q8—1464no—
634Q8—1462no—
635Q8C23×#6440814yes—
636D4—24no—
637D4—24no—
638D4—22no—
639D4—734no—
640D4—1464no—
641D4—1464no—
642D4—1464no—
643D4—1464no—
644D4—1464no—
645D4—1464no—
646D4—1464no—
647D4—1464no—
648D4—1462no—
649D4C23×#6440814yes—
650C2×C4—22no—
651C2×C4—24no—
652C2×C4—24no—
653C2×C4—2924no—
654C2×C4—732no—
655C2×C4—731no—
656C2×C4—732no—
657C2×C4—731no—
658C2×C4—732no—
659C2×C4—732no—
660C2×C4—732no—
661C2×C4—732no—
662C2×C4—731no—
663C2×C4—731no—
664C2×C4—732no—
665C2×C4—731no—
666C2×C4—731no—
667C2×C4—732no—
668C2×C4—1464no—
669C2×C4—1464no—
670C2×C4—1464no—
671C2×C4—1464no—
672C2×C4—1464no—
673C2×C4—1464no—
674C2×C4—1464no—
675C2×C4—1462no—
676C2×C4—1464no—
677C2×C4—1464no—
678C2×C4D4×#6440811yescharacteristic
679C2×C4D4×#6440812yes—
680C2×C4C23×#6440812yes—
681C2×C4C23×#6440811yescharacteristic
682C8—732no—
683C8—734no—
684C8—732no—
685C8—734no—
686C8—1468no—
687C8C23×#6440814yes—
688C22—24no—
689C22—41no—
690C22—44no—
691C22—2924no—
692C22—2922no—
693C22—2921no—
694C22—2928no—
695C22—2928no—
696C22—731no—
697C22—731no—
698C22—732no—
699C22—1462no—
700C22—1464no—
701C22—1464no—
702C22C2×D4×#6440812yes—
703C22C2×D4×#6440811yescharacteristic
704C4—24no—
705C4—2924no—
706C4—731no—
707C4—732no—
708C4—731no—
709C4—1464no—
710C4C2×D4×#6440812yes—
711C4C2×D4×#6440811yescharacteristic
712C4C24×#6440811yescharacteristic
713C2—22no—
714C2—21no—
715C2—44no—
716C2—2924no—
717C2—732no—
718C2—1461no—
719C2—1462no—
720C2C22×D4×#6440811yescharacteristic
subgroupG/H
centerC4C2×D4×#64408
commutatorC4×C73C24×C4
FrattiniC4C24×#64408
Fitting#575×C73C4
socleC2×C73C22×C4×D4
prime radical#575×D73C2
cosocleC4×D73C25
hypercenter#575#64408
hypocenterC73C2×#2955
LCSG ▷ C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C4 ◁ C22×C4 ◁ #575

Complements

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

NH ≅ G/Ntype
1. C2×D73⋊#131C2semidirect
2. #22626704C2semidirect
3. #22626703C2semidirect
4. D73⋊#444C2semidirect
5. D73⋊#443C2semidirect
6. D73⋊#430C2semidirect
7. D73⋊#421C2semidirect
8. C2×#17989553C2semidirect
10. C2×#14556679C22semidirect
14. D73⋊#131C22semidirect
15. D73⋊#131C22semidirect
16. D73⋊#131C22semidirect
18. C2×#14556678C22semidirect
24. #17989634C22semidirect
25. #17989633C22semidirect
26. #17989632C22semidirect
27. #17989631C22semidirect
28. #17989630C22semidirect
29. #17989629C22semidirect
30. #17989602C22semidirect
31. D73⋊#108C22semidirect
32. #17989586C22semidirect
33. #17989585C22semidirect
34. #17989584C22semidirect
35. D73⋊#104C22semidirect
36. #17989553C22semidirect
37. C2×#14556645C22semidirect
38. C2×C8×#64408C22semidirect
40. #17989387C4semidirect
42. #17989385C4semidirect
43. #17989384C4semidirect
45. #137×D73C4semidirect
46. AGL(1,ℤ/8)×D73C4semidirect
49. #575×C73C4semidirect
52. #14556679C23semidirect
53. #14556679C23semidirect
60. #14556678C23semidirect
61. #14556678C23semidirect
91. #14556662C23semidirect
92. #14556661C23semidirect
93. #14556656C23semidirect
94. #14556655C23semidirect
95. #14556645C23semidirect
96. C8×#64408C23semidirect
115. #14556624C2×C4semidirect
116. #14556623C2×C4semidirect
117. #14556622C2×C4semidirect
118. #14556621C2×C4semidirect
119. #14556620C2×C4semidirect
120. #14556619C2×C4semidirect
121. #14556618C2×C4semidirect
122. #14556617C2×C4semidirect
123. #14556616C2×C4semidirect
124. #14556615C2×C4semidirect
139. #137×C73C2×C4semidirect
140. AGL(1,ℤ/8)×C73C2×C4semidirect
360. D73#2955semidirect
370. C73C2×#2955semidirect
377. #575#64408semidirect
435. #137C2×#64408semidirect
441. AGL(1,ℤ/8)C2×#64408semidirect

Maximal subgroups

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

subgroupindex
C2×D73⋊#1312
#226267042
#226267032
D73⋊#4442
D73⋊#4432
D73⋊#4302
D73⋊#4212
C2×#179895532
#575×D732
C2×#295573