Finite Group Databasebeta

← #34031138

Subgroups — #34031138

Order 18688.

4892 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
1#22626911C212yesmaximal, complemented
2#22626533C212yesmaximal, complemented
3#22626532C212yesmaximal, complemented
4#22626531C216yesmaximal, complemented
5#22626530C216yesmaximal, complemented
6D73⋊#410C216yesmaximal, complemented
7C2×#17989566C216yesmaximal, complemented
8C2×#17989423C211yesmaximal, characteristic
9#17989656—28no—
10#17989655C2214yescomplemented
11#17989654C22112yescomplemented
12#41×#64408—28no—
13C2×#14556670C22112yescomplemented
14#17989568C22112yescomplemented
15#17989567C22112yescomplemented
16#17989566C2214yescomplemented
17#17989566C22112yescomplemented
18#17989566C22112yescomplemented
19#17989566C22112yescomplemented
20C2×#14556650C22112yescomplemented
21D73⋊#99C22124yescomplemented
22C2×#14556649C22112yescomplemented
23#17989423—28no—
24#17989423—28no—
25C2×#14556639C411yescharacteristic, complemented
26C2×#14556639C2211yescharacteristic
27C2×#14556638C413yescomplemented
28C2×#14556638C2211yescharacteristic
29C2×#14556637C411yescharacteristic, complemented
30C2×#14556637C2213yes—
31C2×#14556636C413yescomplemented
32C2×#14556636C2213yes—
33C22×#11924028C413yescomplemented
34C22×#11924028C2213yes—
35C2×#41×D73C411yescharacteristic, complemented
36C2×#41×D73C413yescomplemented
37C2×#41×D73C2211yescharacteristic
38C2×#41×D73C2213yes—
39C22×#41×C73C411yescharacteristic, complemented
40Q8×#64408—216no—
41D4×#64408—248no—
42#14556670—212no—
43#14556670—212no—
44#14556670C2318yes—
45#14556670C23124yes—
46C2×C4⋊#64408—212no—
47C2×C22⋊#64408C23124yes—
48C2×C4×#64408—212no—
49#14556650C23124yes—
50#14556650C2318yes—
51#14556649C2318yes—
52#14556649C23124yes—
53#14556639—28no—
54#14556639—28no—
55#14556638—224no—
56#14556638—28no—
57#14556637—28no—
58#14556637—224no—
59#14556636—224no—
60#14556636—224no—
61C2×#11924029C2×C411yescharacteristic
62C2×#11924029C2×C411yescharacteristic, complemented
63C2×#11924029C2×C413yescomplemented
64C2×#11924029C2313yes—
65C2×#11924028—212no—
66C2×#11924028—212no—
67C2×#11924028—212no—
68C2×#11924028—212no—
69C2×#11924028C2×C413yes—
70C2×#11924028C2×C413yescomplemented
71C2×#11924028C2×C413yescomplemented
72C2×#11924028C2×C413yescomplemented
73C2×#11924028C2×C413yescomplemented
74C2×#11924028C2×C413yescomplemented
75C2×#11924028C2×C416yescomplemented
76C2×#11924028C2×C413yescomplemented
77C2×#11924028C2×C413yescomplemented
78C2×#11924028C2313yes—
79C2×#11924028C2311yescharacteristic
80C2×#11924028C2313yes—
81C2×#11924028C2313yes—
82C2×#11924027C2×C413yes—
83C2×#11924027C2×C413yescomplemented
84C2×#11924027C2×C416yescomplemented
85C2×#11924027C2×C413yescomplemented
86C2×#11924027C2×C416yescomplemented
87C2×#11924027C2313yes—
88#41×D73—212no—
89#41×D73—212no—
90#41×D73—212no—
91#41×D73—212no—
92#41×D73—24no—
93#41×D73—24no—
94#41×D73D418yes—
95#41×D73D418yes—
96C22×Dic146C2×C413yescomplemented
97C22×Dic146C2×C413yescomplemented
98C2×Q8×D73C2×C413yescomplemented
99C2×Q8×D73C2×C411yescharacteristic, complemented
100C2×Q8×D73C2×C413yescomplemented
101C2×Q8×D73C2311yescharacteristic
102C22×D292C2×C413yescomplemented
103C22×D292C2313yes—
104C22×C22⋊D73C2×C416yescomplemented
105C22×C22⋊D73C2×C413yescomplemented
106C22×C22⋊D73C2313yes—
107C2×D4×D73C2×C416yescomplemented
108C2×D4×D73C2×C413yescomplemented
109C2×D4×D73C2×C413yescomplemented
110C2×D4×D73C2×C413yescomplemented
111C2×D4×D73C2316yes—
112C2×D4×D73C2313yes—
113C22×C4×D73C2×C413yescomplemented
114C22×C4×D73C2×C416yescomplemented
115C22×C4×D73C2313yes—
116C2×#41×C73—24no—
117C2×#41×C73—24no—
118C2×#41×C73C2×C411yescharacteristic
119C2×#41×C73C2×C413yescomplemented
120C2×#41×C73C2×C411yescharacteristic, complemented
121C2×#41×C73C2×C413yescomplemented
122C22×Q8×C73C2×C411yescharacteristic, complemented
123C22×D4×C73C2×C413yescomplemented
124C23×C4×C73C2×C413yescomplemented
125C22×#64408—224no—
126C4⋊#64408—224no—
127C4⋊#64408—28no—
128C22⋊#64408—224no—
129C22⋊#64408C24116yes—
130C4×#64408—224no—
131C4×#64408—28no—
132C23×D73C22×C413yes—
133C23×D73C22×C416yes—
134C23×D73C2413yes—
135#11924029—24no—
136#11924029—212no—
137#11924029—212no—
138#11924029C22⋊C418yes—
139#11924028—26no—
140#11924028—26no—
141#11924028—224no—
142#11924028—212no—
143#11924028—26no—
144#11924028—26no—
145#11924028—26no—
146#11924028—26no—
147#11924028—212no—
148#11924028—212no—
149#11924028—26no—
150#11924028—26no—
151#11924028—22no—
152#11924028—22no—
153#11924028—212no—
154#11924028—212no—
155#11924028—212no—
156#11924028C22⋊C4112yes—
157#11924028C22⋊C4112yes—
158#11924027—212no—
159#11924027—224no—
160#11924027—224no—
161#11924027—212no—
162#11924027—212no—
163#11924027C22⋊C4124yes—
164C2×Dic146—212no—
165C2×Dic146—212no—
166C2×Dic146C22×C413yes—
167C2×Dic146C22×C413yes—
168C2×Dic146C22×C413yes—
169C2×Dic146C22×C413yes—
170C2×Dic146C22×C411yescharacteristic
171C2×Dic146C22×C413yes—
172Q8×D73—24no—
173Q8×D73—212no—
174Q8×D73—212no—
175Q8×D73C2×D418yes—
176C2×D292—212no—
177C2×D292—212no—
178C2×D292C22×C413yes—
179C2×D292C22×C413yes—
180C2×D292C22×C413yes—
181C2×D292C22×C413yes—
182C2×D292C2413yes—
183C2×D292C2411yescharacteristic
184C2×C22⋊D73—212no—
185C2×C22⋊D73—224no—
186C2×C22⋊D73—212no—
187C2×C22⋊D73C22×C413yes—
188C2×C22⋊D73C22×C413yes—
189C2×C22⋊D73C22×C413yes—
190C2×C22⋊D73C22×C416yes—
191C2×C22⋊D73C22×C413yes—
192C2×C22⋊D73C22×C411yescharacteristic
193C2×C22⋊D73C22×C413yes—
194C2×C22⋊D73C22×C416yes—
195C2×C22⋊D73C2413yes—
196C2×C22⋊D73C2411yescharacteristic
197D4×D73—224no—
198D4×D73—212no—
199D4×D73—224no—
200D4×D73—212no—
201D4×D73—212no—
202D4×D73C2×D4124yes—
203C22×Dic73C22×C416yes—
204C22×Dic73C22×C413yes—
205C22×Dic73C22×C413yes—
206C2×C4×D73—26no—
207C2×C4×D73—26no—
208C2×C4×D73—212no—
209C2×C4×D73—212no—
210C2×C4×D73C22×C411yescharacteristic
211C2×C4×D73C22×C413yes—
212C2×C4×D73C22×C416yes—
213C2×C4×D73C22×C413yes—
214C2×C4×D73C22×C413yes—
215C2×C4×D73C22×C416yes—
216C2×C4×D73C22×C413yes—
217C2×C4×D73C22×C413yes—
218C2×C4×D73C2×D4112yes—
219C2×C4×D73C2×D4112yes—
220C2×C4×D73C2411yescharacteristic
221C2×C4×D73C2413yes—
222C24×C73C22×C413yes—
223#41×C73—24no—
224#41×C73—212no—
225#41×C73—26no—
226#41×C73—26no—
227#41×C73C22⋊C414yes—
228#41×C73C22⋊C414yes—
229C2×Q8×C73—24no—
230C2×Q8×C73C22×C413yes—
231C2×Q8×C73C22×C411yescharacteristic
232C2×D4×C73—212no—
233C2×D4×C73C22×C413yes—
234C2×D4×C73C22×C416yes—
235C2×D4×C73C22×C413yes—
236C22×C4×C73—26no—
237C22×C4×C73—26no—
238C22×C4×C73C22×C411yescharacteristic
239C22×C4×C73C22×C413yes—
240C22×C4×C73C22×C413yes—
241C22×C4×C73C22×C413yes—
242C22×C4×C73C22×C413yes—
243C22×C4×C73C22×C413yes—
244C23×C73—26no—
245C23×C73—83no—
246C23×C73C23×C411yescharacteristic
247C23×C73C23×C413yes—
248C23×C73C23×C413yes—
249C22×D73—26no—
250C22×D73—212no—
251C22×D73—83no—
252C22×D73—86no—
253C22×D73—83no—
254C22×D73C23×C413yes—
255C22×D73C23×C411yescharacteristic
256C22×D73C23×C413yes—
257C22×D73C22×D4112yes—
258C22×D73C2511yescharacteristic
259C2×#64408—216no—
260C2×#64408—824no—
261Q8×C73—26no—
262Q8×C73C2×C22⋊C414yes—
263D4×C73—212no—
264D4×C73—26no—
265D4×C73C2×C22⋊C4112yes—
266C2×C4×C73—26no—
267C2×C4×C73—21no—
268C2×C4×C73—21no—
269C2×C4×C73—26no—
270C2×C4×C73—23no—
271C2×C4×C73—23no—
272C2×C4×C73—26no—
273C2×C4×C73C2×C22⋊C416yes—
274C2×C4×C73C2×C22⋊C416yes—
275C2×C4×C73C23×C411yescharacteristic
276C2×C4×C73C23×C413yes—
277C2×C4×C73C23×C411yescharacteristic
278C2×C4×C73C23×C413yes—
279C22⋊D73—212no—
280C22⋊D73—26no—
281C22⋊D73—26no—
282C22⋊D73—26no—
283C22⋊D73—22no—
284C22⋊D73—26no—
285C22⋊D73—26no—
286C22⋊D73—22no—
287C22⋊D73—26no—
288C22⋊D73C2×C22⋊C4124yes—
289C2×Dic73—26no—
290C2×Dic73—212no—
291C2×Dic73C2×C22⋊C4112yes—
292C2×Dic73C23×C411yescharacteristic
293C2×Dic73C23×C413yes—
294C2×Dic73C23×C411yescharacteristic
295C2×Dic73C23×C413yes—
296D292—26no—
297D292—26no—
298D292—26no—
299D292—22no—
300D292—26no—
301D292C2×C22⋊C4112yes—
302C4×D73—212no—
303C4×D73—21no—
304C4×D73—23no—
305C4×D73—21no—
306C4×D73—23no—
307C4×D73—26no—
308C4×D73—26no—
309C4×D73—212no—
310C4×D73C2×C22⋊C416yes—
311C4×D73C2×C22⋊C416yes—
312C4×D73C2×C22⋊C4112yes—
313C4×D73C22×D412yes—
314C4×D73C22×D412yes—
315C4×D73C22×D4112yes—
316Dic146—26no—
317Dic146—26no—
318Dic146—26no—
319Dic146—22no—
320Dic146—26no—
321Dic146C2×C22⋊C4112yes—
322C22×C73—23no—
323C22×C73—21no—
324C22×C73—43no—
325C22×C73—43no—
326C22×C73—41no—
327C22×C73—86no—
328C22×C73C22×C22⋊C416yes—
329C22×C73C24×C411yescharacteristic
330C2×D73—21no—
331C2×D73—23no—
332C2×D73—412no—
333C2×D73—43no—
334C2×D73—41no—
335C2×D73—43no—
336C2×D73—41no—
337C2×D73—812no—
338C2×D73—86no—
339C2×D73C22×C22⋊C416yes—
340C2×D73C23×D412yes—
341#64408—416no—
342C4×C73—21no—
343C4×C73—23no—
344C4×C73C22×C22⋊C416yes—
345C4×C73C22×C22⋊C411yescharacteristic
346C4×C73C22×C22⋊C411yescharacteristic
347Dic73—23no—
348Dic73—21no—
349Dic73C22×C22⋊C412yes—
350Dic73C22×C22⋊C416yes—
351#60070—731nomaximal, Sylow
352C2×C73—21no—
353C2×C73—26no—
354C2×C73—43no—
355C2×C73—41no—
356C2×C73C23×C22⋊C411yescharacteristic
357D73—22no—
358D73—26no—
359D73—43no—
360D73—41no—
361C2×#585—731no—
362#3428—732no—
363#2884—732no—
364#2884—732no—
365#2883—736no—
366#2883—736no—
367C2×#410—736no—
368C2×#410—736no—
369C73#6007011yescharacteristic, complemented, Sylow
370#585—1468no—
371#585—1468no—
372C2×2−1+4—733no—
373C2×2−1+4—731no—
374C2×2−1+4—731no—
375C2×2−1+4—731no—
376C2×H(5,𝔽2)—731no—
377C2×H(5,𝔽2)—733no—
378C2×H(5,𝔽2)—733no—
379C2×H(5,𝔽2)—733no—
380C22×#41—731no—
381C22×#41—731no—
382C22×#41—733no—
383C22×#41—733no—
384C22×#41—733no—
385C22×#41—733no—
386C22×#41#6440811yescharacteristic, complemented
387#520—1468no—
388#519—734no—
389#518—7312no—
390C4×#41—1468no—
391C2×#117—7312no—
392#410—734no—
393#410—7312no—
394#410—7312no—
395#410—7312no—
396#410—7312no—
397#410—7312no—
398C2×#99—7312no—
399C2×#99—7324no—
400C2×#99—7312no—
4012−1+4—1468no—
4022−1+4—1468no—
4032−1+4—1468no—
4042−1+4—14624no—
405H(5,𝔽2)—14624no—
406H(5,𝔽2)—14624no—
407H(5,𝔽2)—14624no—
408H(5,𝔽2)—1468no—
409C2×#41—24no—
410C2×#41—24no—
411C2×#41—738no—
412C2×#41—738no—
413C2×#41—731no—
414C2×#41—733no—
415C2×#41—733no—
416C2×#41—731no—
417C2×#41—733no—
418C2×#41—733no—
419C2×#41—736no—
420C2×#41—736no—
421C2×#41—733no—
422C2×#41—733no—
423C2×#41—733no—
424C2×#41—733no—
425C2×#41—731no—
426C2×#41—733no—
427C2×#41—733no—
428C2×#41—733no—
429C2×#41—733no—
430C2×#41—733no—
431C2×#41—733no—
432C2×#41—733no—
433C2×#41—736no—
434C2×#41—733no—
435C2×#41—733no—
436C2×#41—14612no—
437C2×#41—14612no—
438C2×#41—14612no—
439C2×#41—14612no—
440C2×#41—14612no—
441C2×#41—14612no—
442C2×#41—14612no—
443C2×#41—14612no—
444C2×#41—1464no—
445C2×#41—1464no—
446C2×#41C2×#6440811yescharacteristic
447C2×#41C2×#6440813yescomplemented
448C2×#41C2×#6440811yescharacteristic, complemented
449C2×#41C2×#6440813yescomplemented
450C22×Q8—731no—
451C22×Q8—733no—
452C22×Q8—733no—
453C22×Q8—731no—
454C22×Q8—733no—
455C22×Q8—733no—
456C22×Q8C2×#6440811yescharacteristic, complemented
457C22×D4—733no—
458C22×D4—733no—
459C22×D4—733no—
460C22×D4—736no—
461C22×D4—736no—
462C22×D4—733no—
463C22×D4—736no—
464C22×D4—733no—
465C22×D4—733no—
466C22×D4—733no—
467C22×D4—733no—
468C22×D4C2×#6440813yescomplemented
469C23×C4—733no—
470C23×C4—736no—
471C23×C4—733no—
472C23×C4C2×#6440813yescomplemented
473C4×Q8—14616no—
474C4×D4—14648no—
475#117—738no—
476#117—7324no—
477#117—14612no—
478#117—14612no—
479C2×C4⋊C4—14612no—
480C2×C22⋊C4—7324no—
481C2×C42—14612no—
482#99—738no—
483#99—7324no—
484#99—7324no—
485#99—738no—
486C24—733no—
487C24—736no—
488C24—733no—
489C24C22×#6440813yes—
490#41—24no—
491#41—212no—
492#41—26no—
493#41—26no—
494#41—738no—
495#41—7324no—
496#41—7312no—
497#41—7312no—
498#41—1462no—
499#41—1466no—
500#41—1466no—
501#41—1466no—
502#41—1462no—
503#41—1466no—
504#41—1466no—
505#41—1466no—
506#41—14612no—
507#41—14612no—
508#41—14612no—
509#41—14612no—
510#41—14624no—
511#41—14612no—
512#41—14612no—
513#41—14624no—
514#41—14612no—
515#41—14612no—
516#41—14624no—
517#41—14612no—
518#41—14612no—
519#41—1464no—
520#41—14612no—
521#41—1466no—
522#41—1466no—
523#41C22⋊#6440814yes—
524#41C22⋊#6440814yes—
525C2×Q8—24no—
526C2×Q8—738no—
527C2×Q8—733no—
528C2×Q8—733no—
529C2×Q8—733no—
530C2×Q8—731no—
531C2×Q8—733no—
532C2×Q8—733no—
533C2×Q8—14612no—
534C2×Q8—14612no—
535C2×Q8—14612no—
536C2×Q8—14612no—
537C2×Q8—1464no—
538C2×Q8C22×#6440813yes—
539C2×Q8C22×#6440811yescharacteristic
540C2×D4—212no—
541C2×D4—736no—
542C2×D4—7324no—
543C2×D4—733no—
544C2×D4—733no—
545C2×D4—731no—
546C2×D4—733no—
547C2×D4—733no—
548C2×D4—733no—
549C2×D4—736no—
550C2×D4—733no—
551C2×D4—731no—
552C2×D4—733no—
553C2×D4—733no—
554C2×D4—733no—
555C2×D4—733no—
556C2×D4—733no—
557C2×D4—731no—
558C2×D4—14612no—
559C2×D4—14612no—
560C2×D4—14612no—
561C2×D4—14612no—
562C2×D4—14624no—
563C2×D4—14612no—
564C2×D4—14624no—
565C2×D4—14624no—
566C2×D4—14612no—
567C2×D4—14612no—
568C2×D4C22×#6440816yes—
569C2×D4C22×#6440813yes—
570C2×D4C22×#6440813yes—
571C22×C4—26no—
572C22×C4—26no—
573C22×C4—733no—
574C22×C4—733no—
575C22×C4—733no—
576C22×C4—731no—
577C22×C4—733no—
578C22×C4—7312no—
579C22×C4—7312no—
580C22×C4—736no—
581C22×C4—733no—
582C22×C4—733no—
583C22×C4—731no—
584C22×C4—736no—
585C22×C4—736no—
586C22×C4—733no—
587C22×C4—733no—
588C22×C4—14612no—
589C22×C4—14612no—
590C22×C4—14624no—
591C22×C4—1466no—
592C22×C4—1466no—
593C22×C4C22×#6440813yes—
594C22×C4C22×#6440811yescharacteristic
595C22×C4C22×#6440813yes—
596C22×C4C22×#6440813yes—
597C22×C4C22×#6440813yes—
598C22×C4C22×#6440813yes—
599C4⋊C4—1468no—
600C4⋊C4—14624no—
601C22⋊C4—7316no—
602C22⋊C4—14624no—
603C42—1468no—
604C42—14624no—
605C23—26no—
606C23—83no—
607C23—5843no—
608C23—5843no—
609C23—5846no—
610C23—7312no—
611C23—731no—
612C23—733no—
613C23—733no—
614C23—731no—
615C23—14612no—
616C23—1466no—
617C23C23×#6440813yes—
618C23C23×#6440811yescharacteristic
619C23C23×#6440813yes—
620Q8—26no—
621Q8—7312no—
622Q8—1462no—
623Q8—1466no—
624Q8—1466no—
625Q8—1466no—
626Q8—1466no—
627Q8C2×C22⋊#6440814yes—
628D4—212no—
629D4—26no—
630D4—7324no—
631D4—7312no—
632D4—1462no—
633D4—1466no—
634D4—1466no—
635D4—1466no—
636D4—1462no—
637D4—1466no—
638D4—1466no—
639D4—1466no—
640D4—1462no—
641D4—1466no—
642D4—1466no—
643D4—1466no—
644D4—14612no—
645D4—1466no—
646D4C2×C22⋊#64408112yes—
647C2×C4—26no—
648C2×C4—21no—
649C2×C4—23no—
650C2×C4—26no—
651C2×C4—26no—
652C2×C4—21no—
653C2×C4—23no—
654C2×C4—58424no—
655C2×C4—7312no—
656C2×C4—731no—
657C2×C4—733no—
658C2×C4—7312no—
659C2×C4—732no—
660C2×C4—736no—
661C2×C4—7312no—
662C2×C4—732no—
663C2×C4—736no—
664C2×C4—733no—
665C2×C4—731no—
666C2×C4—14612no—
667C2×C4—14612no—
668C2×C4—14616no—
669C2×C4—14612no—
670C2×C4—1466no—
671C2×C4—1463no—
672C2×C4—1461no—
673C2×C4—1466no—
674C2×C4—1466no—
675C2×C4—1463no—
676C2×C4—1461no—
677C2×C4C2×C22⋊#6440816yes—
678C2×C4C2×C22⋊#6440816yes—
679C2×C4C23×#6440813yes—
680C2×C4C23×#6440811yescharacteristic
681C2×C4C23×#6440813yes—
682C2×C4C23×#6440811yescharacteristic
683C22—21no—
684C22—23no—
685C22—43no—
686C22—41no—
687C22—43no—
688C22—86no—
689C22—2921no—
690C22—2923no—
691C22—29212no—
692C22—2921no—
693C22—2923no—
694C22—5846no—
695C22—58412no—
696C22—732no—
697C22—736no—
698C22—1463no—
699C22—1461no—
700C22C22×C22⋊#6440816yes—
701C22C24×#6440811yescharacteristic
702C4—21no—
703C4—23no—
704C4—29216no—
705C4—732no—
706C4—736no—
707C4—1463no—
708C4—1461no—
709C4C22×C22⋊#6440811yescharacteristic
710C4C22×C22⋊#6440816yes—
711C4C22×C22⋊#6440811yescharacteristic
712C2—21no—
713C2—26no—
714C2—41no—
715C2—43no—
716C2—2921no—
717C2—2923no—
718C2—1462no—
719C2—1466no—
720C2C23×C22⋊#6440811yescharacteristic
subgroupG/H
centerC4C22×C22⋊#64408
commutatorC22×C73C24×C4
FrattiniC22C24×#64408
FittingC22×#41×C73C4
socleC2×C73C23×C22⋊C4
prime radicalC2×#17989423C2
cosocleC22×D73C25
hypercenterC22×#41#64408
hypocenterC73#60070
LCSG ▷ C22×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C4 ◁ C2×#41 ◁ C22×#41

Complements

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

NH ≅ G/Ntype
1. #22626911C2semidirect
2. #22626533C2semidirect
3. #22626532C2semidirect
4. #22626531C2semidirect
5. #22626530C2semidirect
6. D73⋊#410C2semidirect
7. C2×#17989566C2semidirect
10. #17989655C22semidirect
11. #17989654C22semidirect
13. C2×#14556670C22semidirect
14. #17989568C22semidirect
15. #17989567C22semidirect
16. #17989566C22semidirect
17. #17989566C22semidirect
18. #17989566C22semidirect
19. #17989566C22semidirect
20. C2×#14556650C22semidirect
21. D73⋊#99C22semidirect
22. C2×#14556649C22semidirect
25. C2×#14556639C4semidirect
27. C2×#14556638C4semidirect
29. C2×#14556637C4semidirect
31. C2×#14556636C4semidirect
33. C22×#11924028C4semidirect
35. C2×#41×D73C4semidirect
36. C2×#41×D73C4semidirect
39. C22×#41×C73C4semidirect
62. C2×#11924029C2×C4semidirect
63. C2×#11924029C2×C4semidirect
70. C2×#11924028C2×C4semidirect
71. C2×#11924028C2×C4semidirect
72. C2×#11924028C2×C4semidirect
73. C2×#11924028C2×C4semidirect
74. C2×#11924028C2×C4semidirect
75. C2×#11924028C2×C4semidirect
76. C2×#11924028C2×C4semidirect
77. C2×#11924028C2×C4semidirect
83. C2×#11924027C2×C4semidirect
84. C2×#11924027C2×C4semidirect
85. C2×#11924027C2×C4semidirect
86. C2×#11924027C2×C4semidirect
96. C22×Dic146C2×C4semidirect
97. C22×Dic146C2×C4semidirect
98. C2×Q8×D73C2×C4semidirect
99. C2×Q8×D73C2×C4semidirect
100. C2×Q8×D73C2×C4semidirect
102. C22×D292C2×C4semidirect
104. C22×C22⋊D73C2×C4semidirect
105. C22×C22⋊D73C2×C4semidirect
107. C2×D4×D73C2×C4semidirect
108. C2×D4×D73C2×C4semidirect
109. C2×D4×D73C2×C4semidirect
110. C2×D4×D73C2×C4semidirect
113. C22×C4×D73C2×C4semidirect
114. C22×C4×D73C2×C4semidirect
119. C2×#41×C73C2×C4semidirect
120. C2×#41×C73C2×C4semidirect
121. C2×#41×C73C2×C4semidirect
122. C22×Q8×C73C2×C4semidirect
123. C22×D4×C73C2×C4semidirect
124. C23×C4×C73C2×C4semidirect
369. C73#60070semidirect
386. C22×#41#64408semidirect
447. C2×#41C2×#64408semidirect
448. C2×#41C2×#64408semidirect
449. C2×#41C2×#64408semidirect
456. C22×Q8C2×#64408semidirect
468. C22×D4C2×#64408semidirect
472. C23×C4C2×#64408semidirect

Maximal subgroups

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

subgroupindex
#226269112
#226265332
#226265322
#226265312
#226265302
D73⋊#4102
C2×#179895662
C2×#179894232
#6007073