Finite Group Databasebeta

← D73⋊#2880 #34031112

Subgroups — D73⋊#2880 #34031112

Order 18688.

5206 conjugacy classes of subgroups.

The subgroup lattice has 738 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D73⋊#131C212yesmaximal, complemented
2#22626522C212yesmaximal, complemented
3#22626521C216yesmaximal, complemented
4#22626520C212yesmaximal, complemented
5#22626519C216yesmaximal, complemented
6D73⋊#408C216yesmaximal, complemented
7D73⋊#407C213yesmaximal, complemented
8C2×#17989555C213yesmaximal, complemented
9C22×#41×D73C211yesmaximal, characteristic
10C2×#14556679C2214yescomplemented
11D73⋊#131—216no—
12C2×#14556678C22112yescomplemented
13C2×D73⋊M16C2216yescomplemented
14C22×#11924036C2216yescomplemented
15#17989562C22112yescomplemented
16#17989561C22112yescomplemented
17#17989560C22124yescomplemented
18#17989559C2216yescomplemented
19#17989558C2216yescomplemented
20#17989558C2216yescomplemented
21#17989557C2216yescomplemented
22C2×#14556648C2216yescomplemented
23#17989555C2211yescharacteristic
24#17989555C2213yes—
25#17989555C2216yescomplemented
26#17989555C2216yescomplemented
27#17989555C2216yescomplemented
28#17989555C2216yescomplemented
29C2×C22⋊#10596833C2216yescomplemented
30C22×#11924029C2211yescharacteristic
31C22×#11924028C413yes—
32C22×#11924027C2213yes—
33C2×#41×D73—216no—
34C2×#41×D73C413yes—
35C2×#41×D73C411yescharacteristic
36C2×#41×D73C413yes—
37C2×#41×D73C411yescharacteristic
38C2×#41×D73C2213yes—
39C2×#41×D73C2213yes—
40C2×#41×D73C2211yescharacteristic
41C2×#41×D73C2211yescharacteristic
42C22×Q8×D73C411yescharacteristic
43C22×D4×D73C413yes—
44C23×C4×D73C2213yes—
45C22×#41×C73C411yescharacteristic
46#14556679—216no—
47#14556678—248no—
48C2×#11924038C23112yescomplemented
49D73⋊M16—224no—
50C2×#11924037C23112yescomplemented
51C2×#11924036—224no—
52C2×#11924036C2312yes—
53C2×#11924036C2316yes—
54C2×#11924036C23112yescomplemented
55C22×#10596833C23112yescomplemented
56#14556648C2312yes—
57#14556648C2316yes—
58#14556648C23112yescomplemented
59#14556648C23112yescomplemented
60C22⋊#10596833C2312yes—
61C22⋊#10596833C2316yes—
62C22⋊#10596833C23112yescomplemented
63C22⋊#10596833C23112yescomplemented
64C24×D73C2×C413yes—
65C2×#11924029—28no—
66C2×#11924029C2×C413yes—
67C2×#11924029C2×C411yescharacteristic
68C2×#11924029C2313yes—
69C2×#11924029C2311yescharacteristic
70C2×#11924028—224no—
71C2×#11924028C2×C413yes—
72C2×#11924028C2×C413yes—
73C2×#11924028C2×C416yes—
74C2×#11924028C2×C416yes—
75C2×#11924028C2×C413yes—
76C2×#11924028C2×C413yes—
77C2×#11924027—224no—
78C2×#11924027C2×C413yes—
79C2×#11924027C2×C416yes—
80C2×#11924027C2×C413yes—
81C2×#11924027C2316yes—
82C2×#11924027C2313yes—
83C2×#11924027C2313yes—
84#41×D73—28no—
85#41×D73—224no—
86#41×D73—224no—
87#41×D73—28no—
88#41×D73—224no—
89#41×D73—224no—
90#41×D73—28no—
91#41×D73D4116yes—
92C22×Dic146C2×C413yes—
93C2×Q8×D73—28no—
94C2×Q8×D73C2×C413yes—
95C2×Q8×D73C2×C413yes—
96C2×Q8×D73C2×C411yescharacteristic
97C2×Q8×D73C2×C411yescharacteristic
98C22×D292C2×C413yes—
99C22×C22⋊D73C2×C416yes—
100C2×D4×D73—224no—
101C2×D4×D73C2×C416yes—
102C2×D4×D73C2×C416yes—
103C2×D4×D73C2×C413yes—
104C2×D4×D73C2×C413yes—
105C2×D4×D73C2×C413yes—
106C2×D4×D73C2×C413yes—
107C23×Dic73C2313yes—
108C22×C4×D73—224no—
109C22×C4×D73C2×C413yes—
110C22×C4×D73C2×C413yes—
111C22×C4×D73C2×C413yes—
112C22×C4×D73C2×C413yes—
113C22×C4×D73C2×C413yes—
114C22×C4×D73C2×C413yes—
115C22×C4×D73C2311yescharacteristic
116C22×C4×D73C2313yes—
117C22×C4×D73C2313yes—
118C22×C4×D73C2313yes—
119C22×C4×D73C2313yes—
120C22×C4×D73C2313yes—
121C2×#41×C73—28no—
122C2×#41×C73C2×C411yescharacteristic
123C2×#41×C73C2×C413yes—
124C2×#41×C73C2×C413yes—
125C2×#41×C73C2×C411yescharacteristic
126C22×Q8×C73C2×C411yescharacteristic
127C22×D4×C73C2×C413yes—
128C23×C4×C73C2×C413yes—
129#11924038—224no—
130#11924037—224no—
131#11924036—24no—
132#11924036—212no—
133#11924036—224no—
134C2×#10596833—224no—
135C2×#10596833C2414yes—
136C2×#10596833C24112yes—
137C23×D73—212no—
138C23×D73—212no—
139C23×D73—46no—
140C23×D73C22×C413yes—
141C23×D73C22×C413yes—
142C23×D73C22×C413yes—
143C23×D73C22×C413yes—
144C23×D73C22×C413yes—
145C23×D73C22×C411yescharacteristic
146#11924029—24no—
147#11924029—212no—
148#11924029—212no—
149#11924029C2×D418yes—
150#11924028—212no—
151#11924028—224no—
152#11924028—212no—
153#11924028—224no—
154#11924028—212no—
155#11924028C22⋊C4124yes—
156#11924027—212no—
157#11924027—224no—
158#11924027—224no—
159#11924027—212no—
160#11924027—212no—
161#11924027C2×D4124yes—
162C2×Dic146—212no—
163C2×Dic146C22×C413yes—
164C2×Dic146C22×C416yes—
165C2×Dic146C22×C413yes—
166Q8×D73—24no—
167Q8×D73—212no—
168Q8×D73—212no—
169Q8×D73C22⋊C418yes—
170C2×D292—212no—
171C2×D292C22×C416yes—
172C2×D292C22×C413yes—
173C2×D292C22×C413yes—
174C2×C22⋊D73—224no—
175C2×C22⋊D73C22×C416yes—
176C2×C22⋊D73C22×C416yes—
177C2×C22⋊D73C22×C416yes—
178C2×C22⋊D73C22×C416yes—
179D4×D73—224no—
180D4×D73—212no—
181D4×D73—224no—
182D4×D73—212no—
183D4×D73—212no—
184D4×D73C22⋊C4124yes—
185C22×Dic73—212no—
186C22×Dic73C22×C413yes—
187C22×Dic73C22×C413yes—
188C22×Dic73C22×C413yes—
189C22×Dic73C2411yescharacteristic
190C22×Dic73C2413yes—
191C22×Dic73C2413yes—
192C2×C4×D73—212no—
193C2×C4×D73—212no—
194C2×C4×D73—212no—
195C2×C4×D73—212no—
196C2×C4×D73—212no—
197C2×C4×D73—212no—
198C2×C4×D73—212no—
199C2×C4×D73—24no—
200C2×C4×D73—212no—
201C2×C4×D73—212no—
202C2×C4×D73—212no—
203C2×C4×D73C22×C411yescharacteristic
204C2×C4×D73C22×C411yescharacteristic
205C2×C4×D73C22×C413yes—
206C2×C4×D73C22×C413yes—
207C2×C4×D73C22×C413yes—
208C2×C4×D73C22×C413yes—
209C2×C4×D73C22×C413yes—
210C2×C4×D73C22×C413yes—
211C2×C4×D73C22×C413yes—
212C2×C4×D73C22×C413yes—
213C2×C4×D73C22×C413yes—
214C2×C4×D73C22×C413yes—
215C2×C4×D73C2×D4124yes—
216C2×C4×D73C2411yescharacteristic
217C2×C4×D73C2413yes—
218C2×C4×D73C2411yescharacteristic
219C2×C4×D73C2413yes—
220C24×C73C22×C413yes—
221#41×C73—24no—
222#41×C73—212no—
223#41×C73—212no—
224#41×C73C22⋊C418yes—
225C2×Q8×C73—24no—
226C2×Q8×C73C22×C413yes—
227C2×Q8×C73C22×C411yescharacteristic
228C2×D4×C73—212no—
229C2×D4×C73C22×C416yes—
230C2×D4×C73C22×C413yes—
231C2×D4×C73C22×C413yes—
232C22×C4×C73—212no—
233C22×C4×C73C22×C411yescharacteristic
234C22×C4×C73C22×C413yes—
235C22×C4×C73C22×C413yes—
236C22×C4×C73C22×C413yes—
237C22×C4×C73C22×C413yes—
238C22×C4×C73C22×C413yes—
239C23×C73—26no—
240C23×C73—26no—
241C23×C73—43no—
242C23×C73C23×C413yes—
243C23×C73C23×C413yes—
244C23×C73C23×C411yescharacteristic
245C22×D73—22no—
246C22×D73—26no—
247C22×D73—22no—
248C22×D73—26no—
249C22×D73—26no—
250C22×D73—26no—
251C22×D73—26no—
252C22×D73—26no—
253C22×D73—26no—
254C22×D73—26no—
255C22×D73—26no—
256C22×D73—26no—
257C22×D73—26no—
258C22×D73—43no—
259C22×D73—43no—
260C22×D73—43no—
261C22×D73—448no—
262C22×D73C2×C22⋊C4112yes—
263C22×D73#13114yescomplemented
264C22×D73C23×C413yes—
265C22×D73C23×C413yes—
266C22×D73C23×C411yescharacteristic
267C22×D73C23×C411yescharacteristic
268Q8×C73—26no—
269Q8×C73C2×C22⋊C414yes—
270D4×C73—212no—
271D4×C73—26no—
272D4×C73C2×C22⋊C4112yes—
273C2×C4×C73—26no—
274C2×C4×C73—22no—
275C2×C4×C73—26no—
276C2×C4×C73—26no—
277C2×C4×C73—26no—
278C2×C4×C73C2×C22⋊C4112yes—
279C2×C4×C73C23×C411yescharacteristic
280C2×C4×C73C23×C413yes—
281C2×C4×C73C23×C413yes—
282C2×C4×C73C23×C411yescharacteristic
283C22⋊D73—212no—
284C22⋊D73—212no—
285C22⋊D73—212no—
286C22⋊D73C2×C22⋊C4124yes—
287C2×Dic73—26no—
288C2×Dic73—26no—
289C2×Dic73—26no—
290C2×Dic73—22no—
291C2×Dic73—26no—
292C2×Dic73C23×C411yescharacteristic
293C2×Dic73C23×C413yes—
294C2×Dic73C23×C413yes—
295C2×Dic73C22×D4112yes—
296C2×Dic73C2511yescharacteristic
297D292—212no—
298D292—26no—
299D292C2×C22⋊C4112yes—
300C4×D73—22no—
301C4×D73—26no—
302C4×D73—26no—
303C4×D73—26no—
304C4×D73—22no—
305C4×D73—26no—
306C4×D73—26no—
307C4×D73—26no—
308C4×D73—26no—
309C4×D73—26no—
310C4×D73—22no—
311C4×D73—26no—
312C4×D73C2×C22⋊C4112yes—
313C4×D73C2×C22⋊C4112yes—
314C4×D73C22×D414yes—
315C4×D73C22×D4112yes—
316Dic146—26no—
317Dic146—212no—
318Dic146C2×C22⋊C4112yes—
319#10596833—24no—
320#10596833—212no—
321C22×C73—21no—
322C22×C73—23no—
323C22×C73—21no—
324C22×C73—23no—
325C22×C73—23no—
326C22×C73—23no—
327C22×C73—23no—
328C22×C73—412no—
329C22×C73C22×C22⋊C416yes—
330C22×C73C2×#13112yescomplemented
331C22×C73C24×C411yescharacteristic
332C2×D73—21no—
333C2×D73—23no—
334C2×D73—21no—
335C2×D73—23no—
336C2×D73—28no—
337C2×D73—224no—
338C2×D73—23no—
339C2×D73—23no—
340C2×D73—23no—
341C2×D73—412no—
342C2×D73—412no—
343C2×D73—412no—
344C2×D73—412no—
345C2×D73C22×C22⋊C416yes—
346C2×D73C22×C22⋊C412yes—
347C2×D73C2×#13112yes—
348C2×D73C2×#13112yescomplemented
349C2×D73#56812yes—
350C4×C73—23no—
351C4×C73—21no—
352C4×C73C22×C22⋊C416yes—
353C4×C73C22×C22⋊C412yes—
354Dic73—23no—
355Dic73—21no—
356Dic73C22×C22⋊C416yes—
357Dic73C23×D412yes—
358C2×#2880—731nomaximal, Sylow
359C2×C73—22no—
360C2×C73—26no—
361C2×C73—43no—
362C2×C73C23×C22⋊C411yescharacteristic
363C2×C73C22×#13111yescharacteristic
364C2×C73C2×#56811yescharacteristic
365D73—22no—
366D73—26no—
367D73—43no—
368D73#288014yescomplemented
369C23×#41—731no—
370C22×#131—732no—
371#2880—736no—
372#2880—732no—
373#2880—736no—
374#2880—732no—
375C2×#408—736no—
376C2×#407—733no—
377C22×C22⋊C8—733no—
378C73C2×#288011yescharacteristic, complemented, Sylow
379C22×#41—731no—
380C22×#41—733no—
381C22×#41—731no—
382C22×#41—733no—
383C22×#41—731no—
384C22×#41—733no—
385C22×#41—731no—
386C22×#41—733no—
387C22×#41—731no—
388C22×#41—733no—
389C22×#41—733no—
390C22×#41—14616no—
391C22×#41#6440811yescharacteristic
392C23×Q8—731no—
393C23×D4—733no—
394C24×C4—733no—
395C2×#131—7312no—
396C2×#131—734no—
397C2×#131—14616no—
398C22×M16—736no—
399C23×C8—736no—
400#408—7324no—
401#408—7312no—
402#408—7312no—
403#407—736no—
404#407—736no—
405#407—736no—
406#407—736no—
407C2×C22⋊C8—731no—
408C2×C22⋊C8—733no—
409C2×C22⋊C8—736no—
410C2×C22⋊C8—736no—
411C2×C22⋊C8—736no—
412C2×C22⋊C8—736no—
413C2×C22⋊C8—736no—
414C2×C22⋊C8—736no—
415C25—733no—
416C2×#41—28no—
417C2×#41—7316no—
418C2×#41—731no—
419C2×#41—733no—
420C2×#41—733no—
421C2×#41—731no—
422C2×#41—733no—
423C2×#41—736no—
424C2×#41—733no—
425C2×#41—736no—
426C2×#41—733no—
427C2×#41—733no—
428C2×#41—733no—
429C2×#41—736no—
430C2×#41—736no—
431C2×#41—733no—
432C2×#41—733no—
433C2×#41—733no—
434C2×#41—14624no—
435C2×#41—14624no—
436C2×#41—14624no—
437C2×#41—14624no—
438C2×#41—1468no—
439C2×#41—1468no—
440C2×#41—1468no—
441C2×#41—14624no—
442C2×#41—14624no—
443C2×#41—1468no—
444C2×#41C2×#6440811yescharacteristic
445C2×#41C2×#6440813yes—
446C2×#41C2×#6440813yes—
447C2×#41C2×#6440811yescharacteristic
448C22×Q8—731no—
449C22×Q8—733no—
450C22×Q8—733no—
451C22×Q8—731no—
452C22×Q8—733no—
453C22×Q8—1468no—
454C22×Q8C2×#6440811yescharacteristic
455C22×D4—733no—
456C22×D4—736no—
457C22×D4—733no—
458C22×D4—736no—
459C22×D4—733no—
460C22×D4—736no—
461C22×D4—733no—
462C22×D4—733no—
463C22×D4—14624no—
464C22×D4C2×#6440813yes—
465C23×C4—733no—
466C23×C4—733no—
467C23×C4—731no—
468C23×C4—733no—
469C23×C4—733no—
470C23×C4—733no—
471C23×C4—733no—
472C23×C4—733no—
473C23×C4—733no—
474C23×C4—733no—
475C23×C4—733no—
476C23×C4—733no—
477C23×C4—733no—
478C23×C4—14624no—
479C23×C4C2×#6440813yes—
480#131—14648no—
481#131—14616no—
482C2×M16—7312no—
483C2×M16—7312no—
484C2×M16—14624no—
485C22×C8—7312no—
486C22×C8—732no—
487C22×C8—736no—
488C22×C8—7312no—
489C22×C8—14624no—
490C22⋊C8—732no—
491C22⋊C8—732no—
492C22⋊C8—736no—
493C22⋊C8—736no—
494C22⋊C8—7312no—
495C22⋊C8—7312no—
496C22⋊C8—7312no—
497C22⋊C8—7312no—
498C24—2926no—
499C24—733no—
500C24—733no—
501C24—733no—
502C24—731no—
503C24—733no—
504C24—733no—
505C24—14612no—
506C24—14612no—
507C24C22×#6440813yes—
508#41—24no—
509#41—212no—
510#41—212no—
511#41—738no—
512#41—7324no—
513#41—7324no—
514#41—14624no—
515#41—14624no—
516#41—14612no—
517#41—14612no—
518#41—14624no—
519#41—14612no—
520#41—14612no—
521#41—14624no—
522#41—14612no—
523#41—14612no—
524#41—1464no—
525#41—14612no—
526#41—14612no—
527#41C22⋊#6440818yes—
528C2×Q8—24no—
529C2×Q8—738no—
530C2×Q8—733no—
531C2×Q8—736no—
532C2×Q8—733no—
533C2×Q8—14612no—
534C2×Q8—14612no—
535C2×Q8—14612no—
536C2×Q8—1464no—
537C2×Q8C22×#6440813yes—
538C2×Q8C22×#6440811yescharacteristic
539C2×D4—212no—
540C2×D4—736no—
541C2×D4—7324no—
542C2×D4—736no—
543C2×D4—736no—
544C2×D4—736no—
545C2×D4—733no—
546C2×D4—736no—
547C2×D4—733no—
548C2×D4—14612no—
549C2×D4—14612no—
550C2×D4—14624no—
551C2×D4—14612no—
552C2×D4—14624no—
553C2×D4—14624no—
554C2×D4—14612no—
555C2×D4C22×#6440816yes—
556C2×D4C22×#6440813yes—
557C2×D4C22×#6440813yes—
558C22×C4—212no—
559C22×C4—733no—
560C22×C4—733no—
561C22×C4—733no—
562C22×C4—733no—
563C22×C4—731no—
564C22×C4—7324no—
565C22×C4—733no—
566C22×C4—733no—
567C22×C4—733no—
568C22×C4—731no—
569C22×C4—733no—
570C22×C4—731no—
571C22×C4—733no—
572C22×C4—733no—
573C22×C4—733no—
574C22×C4—733no—
575C22×C4—733no—
576C22×C4—733no—
577C22×C4—733no—
578C22×C4—731no—
579C22×C4—733no—
580C22×C4—731no—
581C22×C4—733no—
582C22×C4—1464no—
583C22×C4—14612no—
584C22×C4—14612no—
585C22×C4—14612no—
586C22×C4—14612no—
587C22×C4—14612no—
588C22×C4—14612no—
589C22×C4—14612no—
590C22×C4—14612no—
591C22×C4—14612no—
592C22×C4—14612no—
593C22×C4—14612no—
594C22×C4C22×#6440813yes—
595C22×C4C22×#6440813yes—
596C22×C4C22×#6440813yes—
597C22×C4C22×#6440811yescharacteristic
598C22×C4C22×#6440813yes—
599C22×C4C22×#6440813yes—
600M16—14624no—
601M16—14624no—
602C2×C8—734no—
603C2×C8—7312no—
604C2×C8—14624no—
605C2×C8—1464no—
606C2×C8—14612no—
607C2×C8—14624no—
608C23—26no—
609C23—26no—
610C23—43no—
611C23—2923no—
612C23—2923no—
613C23—2923no—
614C23—29248no—
615C23—731no—
616C23—7312no—
617C23—734no—
618C23—731no—
619C23—733no—
620C23—733no—
621C23—1466no—
622C23—1466no—
623C23—1466no—
624C23—1466no—
625C23—1466no—
626C23—1466no—
627C23—1466no—
628C23—1462no—
629C23—1462no—
630C23—1466no—
631C23—1466no—
632C23—1466no—
633C23—1466no—
634C23C23×#6440813yes—
635C23C23×#6440813yes—
636C23C23×#6440811yescharacteristic
637Q8—26no—
638Q8—7312no—
639Q8—14612no—
640Q8—1466no—
641Q8C2×C22⋊#6440814yes—
642D4—212no—
643D4—26no—
644D4—7324no—
645D4—7312no—
646D4—14612no—
647D4—14612no—
648D4—14612no—
649D4—14612no—
650D4—1466no—
651D4C2×C22⋊#64408112yes—
652C2×C4—26no—
653C2×C4—22no—
654C2×C4—26no—
655C2×C4—26no—
656C2×C4—26no—
657C2×C4—7312no—
658C2×C4—731no—
659C2×C4—733no—
660C2×C4—734no—
661C2×C4—7312no—
662C2×C4—7312no—
663C2×C4—7312no—
664C2×C4—731no—
665C2×C4—733no—
666C2×C4—1462no—
667C2×C4—1466no—
668C2×C4—1466no—
669C2×C4—1466no—
670C2×C4—1462no—
671C2×C4—1466no—
672C2×C4—1466no—
673C2×C4—1466no—
674C2×C4—1462no—
675C2×C4—1466no—
676C2×C4—1466no—
677C2×C4—1466no—
678C2×C4—1466no—
679C2×C4—1462no—
680C2×C4—1466no—
681C2×C4—1466no—
682C2×C4—1466no—
683C2×C4C2×C22⋊#64408112yes—
684C2×C4C23×#6440811yescharacteristic
685C2×C4C23×#6440813yes—
686C2×C4C23×#6440813yes—
687C2×C4C23×#6440811yescharacteristic
688C8—1464no—
689C8—14612no—
690C22—21no—
691C22—23no—
692C22—21no—
693C22—23no—
694C22—23no—
695C22—23no—
696C22—23no—
697C22—412no—
698C22—29212no—
699C22—29212no—
700C22—29212no—
701C22—29212no—
702C22—732no—
703C22—732no—
704C22—732no—
705C22—736no—
706C22—732no—
707C22—1468no—
708C22—14624no—
709C22—1463no—
710C22—1463no—
711C22—1463no—
712C22—1461no—
713C22—1463no—
714C22—1461no—
715C22—1463no—
716C22C22×C22⋊#6440816yes—
717C22D73⋊#13112yescomplemented
718C22C24×#6440811yescharacteristic
719C4—21no—
720C4—23no—
721C4—732no—
722C4—736no—
723C4—1461no—
724C4—1463no—
725C4C22×C22⋊#6440812yes—
726C4C22×C22⋊#6440816yes—
727C2—22no—
728C2—26no—
729C2—43no—
730C2—2923no—
731C2—734no—
732C2—1462no—
733C2—1466no—
734C2C23×C22⋊#6440811yescharacteristic
735C2C2×D73⋊#13111yescharacteristic
736C2D73⋊#56811yescharacteristic
subgroupG/H
centerC2×C4C23×#64408
commutator, socleC22×C73C24×C4
FrattiniC22C24×#64408
FittingC22×#41×C73C4
prime radicalC22×#41×D73C2
cosocleC2×Dic73C25
hypercenterC22×#41#64408
hypocenterC73C2×#2880
LCSG ▷ C22×C73 ▷ C73
UCSC1 ◁ C2×C4 ◁ C22×#41

Complements

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

NH ≅ G/Ntype
1. C2×D73⋊#131C2semidirect
2. #22626522C2semidirect
3. #22626521C2semidirect
4. #22626520C2semidirect
5. #22626519C2semidirect
6. D73⋊#408C2semidirect
7. D73⋊#407C2semidirect
8. C2×#17989555C2semidirect
10. C2×#14556679C22semidirect
12. C2×#14556678C22semidirect
13. C2×D73⋊M16C22semidirect
14. C22×#11924036C22semidirect
15. #17989562C22semidirect
16. #17989561C22semidirect
17. #17989560C22semidirect
18. #17989559C22semidirect
19. #17989558C22semidirect
20. #17989558C22semidirect
21. #17989557C22semidirect
22. C2×#14556648C22semidirect
25. #17989555C22semidirect
26. #17989555C22semidirect
27. #17989555C22semidirect
28. #17989555C22semidirect
29. C2×C22⋊#10596833C22semidirect
48. C2×#11924038C23semidirect
50. C2×#11924037C23semidirect
54. C2×#11924036C23semidirect
55. C22×#10596833C23semidirect
58. #14556648C23semidirect
59. #14556648C23semidirect
62. C22⋊#10596833C23semidirect
63. C22⋊#10596833C23semidirect
263. C22×D73#131semidirect
330. C22×C73C2×#131semidirect
348. C2×D73C2×#131semidirect
368. D73#2880semidirect
378. C73C2×#2880semidirect
717. C22D73⋊#131semidirect

Maximal subgroups

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

subgroupindex
C2×D73⋊#1312
#226265222
#226265212
#226265202
#226265192
D73⋊#4082
D73⋊#4072
C2×#179895552
C22×#41×D732
C2×#288073