Finite Group Databasebeta

← D73⋊#2978 #34031723

Subgroups — D73⋊#2978 #34031723

Order 18688.

2250 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
1#22626810C214yesmaximal, complemented
2#22626809C214yesmaximal, complemented
3#22626808C214yesmaximal, complemented
4#22626807C214yesmaximal, complemented
5D73⋊#436C214yesmaximal, complemented
6D73⋊#435C214yesmaximal, complemented
7D73⋊#433C212yesmaximal, complemented
8D73⋊#408C212yesmaximal, complemented
9D73⋊#407C212yesmaximal, complemented
10#525×D73C211yesmaximal, characteristic
11C2×D73⋊M16C2214yes—
12C2×D73⋊M16C2212yescomplemented
13C22×#11924036C2212yescomplemented
14#17989622C2218yescomplemented
15#17989621C2218yescomplemented
16#17989620C2218yescomplemented
17#17989620C2218yescomplemented
18#17989619C2218yescomplemented
19#17989618C2218yescomplemented
20#17989617C2218yescomplemented
21#17989616C2218yescomplemented
22#17989612C2218yescomplemented
23#17989611C2218yescomplemented
24#17989588C2214yescomplemented
25#17989562C2214yescomplemented
26#17989561C2214yescomplemented
27#17989560C2214yescomplemented
28#17989560C2214yescomplemented
29#17989559C2214yescomplemented
30#17989558C2214yescomplemented
31#17989558C2214yescomplemented
32#17989557C2214yescomplemented
33#17989555C2214yes—
34#17989555C2212yes—
35#17989555C2212yes—
36#17989555C2214yescomplemented
37#17989546C2212yescomplemented
38C4×#11924036C2212yescomplemented
39C2×#41×D73C2211yescharacteristic
40C23×C4×D73C2211yescharacteristic
41#17989100C2212yes—
42#17989099C411yescharacteristic
43#17989098C411yescharacteristic
44#17989097C2212yes—
45#17989096C414yes—
46#17989095C2212yes—
47#17989094C411yescharacteristic
48#17989093C2212yes—
49#123×D73C412yes—
50C22⋊Q8×D73C412yes—
51#121×D73C412yes—
52#120×D73C412yes—
53C4×D4×D73C2214yes—
54#117×D73C2211yescharacteristic
55#525×C73C411yescharacteristic
56C2×#11924038C2318yes—
57C2×#11924038C2314yescomplemented
58D73⋊M16—48no—
59D73⋊M16—44no—
60C2×#11924037C2318yes—
61C2×#11924037C2314yescomplemented
62C2×#11924036—44no—
63C2×#11924036C2314yes—
64C2×#11924036C2314yes—
65C2×#11924036C2314yescomplemented
66C22×#10596833C2314yescomplemented
67#14556658C2318yescomplemented
68C4⋊#10596833C2318yescomplemented
69#14556648C2318yes—
70#14556648C2314yes—
71#14556648C2314yes—
72#14556648C2318yescomplemented
73C22⋊#10596833C2318yes—
74C22⋊#10596833C2314yes—
75C22⋊#10596833C2314yes—
76C22⋊#10596833C2318yescomplemented
77#14556646C2318yescomplemented
78C4×#10596833C2318yescomplemented
79C24×D73C2×C411yescharacteristic
80C2×#11924029C2311yescharacteristic
81C2×#11924028C2×C412yes—
82C2×#11924028C2×C411yescharacteristic
83C2×#11924027C2311yescharacteristic
84C2×#11924027C2312yes—
85#41×D73—44no—
86C2×Q8×D73C2×C411yescharacteristic
87C2×D4×D73C2×C412yes—
88C2×D4×D73C2×C411yescharacteristic
89C2×D4×D73C2×C414yes—
90C23×Dic73C2311yescharacteristic
91C22×C4×D73—44no—
92C22×C4×D73C2×C412yes—
93C22×C4×D73C2×C411yescharacteristic
94C22×C4×D73C2×C411yescharacteristic
95C22×C4×D73C2×C412yes—
96C22×C4×D73C2312yes—
97C22×C4×D73C2312yes—
98C22×C4×D73C2311yescharacteristic
99C22×C4×D73C2311yescharacteristic
100C22×C4×D73C2312yes—
101#14556576C2×C414yes—
102#14556575C2×C412yes—
103#14556574C2×C412yes—
104#14556573C2×C414yes—
105#14556572C2×C412yes—
106#14556571C2×C412yes—
107#14556570C2×C412yes—
108#14556569C2×C414yes—
109#14556568C2×C414yes—
110#14556567C2×C412yes—
111#14556566C2×C412yes—
112#14556565C2×C412yes—
113#14556564C2×C414yes—
114#14556563C2×C414yes—
115#14556562C2×C412yes—
116#14556561C2×C412yes—
117#14556561C2×C414yes—
118#14556560C2×C412yes—
119#14556559C2×C412yes—
120#14556559C2×C414yes—
121C4×D292C2×C414yes—
122D4×Dic73C2314yes—
123#14556553C2314yes—
124C4×C22⋊D73C2×C414yes—
125C4×C22⋊D73C2×C414yes—
126#14556551C2314yes—
127#14556551C2314yes—
128#14556550C2×C411yescharacteristic
129#14556549C2312yes—
130#14556548C2×C412yes—
131#14556547C2312yes—
132C4⋊C4×D73C2×C412yes—
133C4⋊C4×D73C2×C414yes—
134C22⋊C4×D73C2×C412yes—
135C22⋊C4×D73C2×C414yes—
136C22⋊C4×D73C2×C414yes—
137C42×D73C2312yes—
138C2×#41×C73C2×C411yescharacteristic
139C23×C4×C73C2×C411yescharacteristic
140#123×C73C2×C412yes—
141C22⋊Q8×C73C2×C412yes—
142#121×C73C2×C412yes—
143#120×C73C2×C412yes—
144C4×D4×C73C2×C414yes—
145#117×C73C2×C411yescharacteristic
146#11924038—48no—
147#11924038—44no—
148#11924037—48no—
149#11924037—44no—
150#11924036—28no—
151#11924036—28no—
152#11924036—44no—
153C2×#10596833—44no—
154C2×#10596833C2418yes—
155C2×#10596833C2418yes—
156C23×D73—42no—
157C23×D73—44no—
158C23×D73C22×C411yescharacteristic
159C23×D73C22×C412yes—
160C23×D73C22×C412yes—
161C23×D73C22×C411yescharacteristic
162C23×D73C22×C412yes—
163#11924029—42no—
164#11924028—44no—
165#11924028—42no—
166#11924027—42no—
167#11924027—42no—
168#11924027—42no—
169C2×Dic146C22×C412yes—
170C2×Dic146C22×C411yescharacteristic
171Q8×D73—42no—
172C2×D292C22×C414yes—
173C2×D292C22×C412yes—
174C2×D292C22×C411yescharacteristic
175C2×C22⋊D73C22×C414yes—
176C2×C22⋊D73C22×C414yes—
177C2×C22⋊D73C22×C412yes—
178C2×C22⋊D73C22×C412yes—
179C2×C22⋊D73C22×C412yes—
180D4×D73—48no—
181D4×D73—42no—
182D4×D73—44no—
183C22×Dic73—42no—
184C22×Dic73C22×C412yes—
185C22×Dic73C22×C411yescharacteristic
186C22×Dic73C2412yes—
187C22×Dic73C2412yes—
188C22×Dic73C2411yescharacteristic
189C2×C4×D73—24no—
190C2×C4×D73—28no—
191C2×C4×D73—24no—
192C2×C4×D73—24no—
193C2×C4×D73—44no—
194C2×C4×D73—42no—
195C2×C4×D73—42no—
196C2×C4×D73—44no—
197C2×C4×D73—42no—
198C2×C4×D73—44no—
199C2×C4×D73C22×C414yes—
200C2×C4×D73C22×C412yes—
201C2×C4×D73C22×C412yes—
202C2×C4×D73C22×C411yescharacteristic
203C2×C4×D73C22×C411yescharacteristic
204C2×C4×D73C22×C412yes—
205C2×C4×D73C22×C412yes—
206C2×C4×D73C22×C412yes—
207C2×C4×D73C22×C412yes—
208C2×C4×D73C22×C412yes—
209C2×C4×D73C2412yes—
210C2×C4×D73C2412yes—
211C2×C4×D73C2411yescharacteristic
212C2×C4×D73C2411yescharacteristic
213C4⋊Dic73C22×C412yes—
214C4⋊Dic73C22×C414yes—
215#11924007C22×C414yes—
216#11924007C22×C414yes—
217#11924007C22×C414yes—
218C22⋊Dic73C22×C412yes—
219C22⋊Dic73C22×C414yes—
220C22⋊Dic73C22×C414yes—
221#11924005C22×C414yes—
222#11924005C22×C414yes—
223#11924005C22×C414yes—
224#11924005C22×C414yes—
225#11924005C22×C414yes—
226C4×Dic73C22×C412yes—
227C4×Dic73C2414yes—
228C24×C73C22×C411yescharacteristic
229#41×C73—42no—
230C2×Q8×C73C22×C411yescharacteristic
231C2×D4×C73C22×C414yes—
232C2×D4×C73C22×C412yes—
233C2×D4×C73C22×C411yescharacteristic
234C22×C4×C73—42no—
235C22×C4×C73C22×C411yescharacteristic
236C22×C4×C73C22×C412yes—
237C22×C4×C73C22×C412yes—
238C22×C4×C73C22×C412yes—
239C22×C4×C73C22×C411yescharacteristic
240C4⋊C4×C73C22×C412yes—
241C4⋊C4×C73C22×C414yes—
242C22⋊C4×C73C22×C412yes—
243C22⋊C4×C73C22×C414yes—
244C22⋊C4×C73C22×C414yes—
245C42×C73C22×C412yes—
246C23×C73—41no—
247C23×C73—42no—
248C23×C73C23×C411yescharacteristic
249C23×C73C23×C412yes—
250C23×C73C23×C412yes—
251C22×D73—22no—
252C22×D73—24no—
253C22×D73—24no—
254C22×D73—24no—
255C22×D73—28no—
256C22×D73—24no—
257C22×D73—24no—
258C22×D73—42no—
259C22×D73—41no—
260C22×D73—42no—
261C22×D73—42no—
262C22×D73—42no—
263C22×D73—416no—
264C22×D73C23×C411yescharacteristic
265C22×D73C23×C412yes—
266C22×D73C23×C412yes—
267C22×D73C23×C411yescharacteristic
268Q8×C73—41no—
269D4×C73—41no—
270D4×C73—42no—
271D4×C73—44no—
272C2×C4×C73—22no—
273C2×C4×C73—24no—
274C2×C4×C73—24no—
275C2×C4×C73—42no—
276C2×C4×C73—41no—
277C2×C4×C73C23×C414yes—
278C2×C4×C73C23×C412yes—
279C2×C4×C73C23×C412yes—
280C2×C4×C73C23×C411yescharacteristic
281C2×C4×C73C23×C411yescharacteristic
282C22⋊D73—44no—
283C22⋊D73—44no—
284C22⋊D73—42no—
285C22⋊D73—42no—
286C22⋊D73—42no—
287C2×Dic73—22no—
288C2×Dic73—24no—
289C2×Dic73—22no—
290C2×Dic73—22no—
291C2×Dic73—42no—
292C2×Dic73—41no—
293C2×Dic73C23×C414yes—
294C2×Dic73C23×C412yes—
295C2×Dic73C23×C412yes—
296C2×Dic73C23×C411yescharacteristic
297C2×Dic73C2511yescharacteristic
298D292—44no—
299D292—41no—
300D292—42no—
301C4×D73—24no—
302C4×D73—22no—
303C4×D73—24no—
304C4×D73—28no—
305C4×D73—24no—
306C4×D73—22no—
307C4×D73—24no—
308C4×D73—22no—
309C4×D73—24no—
310C4×D73—22no—
311C4×D73—22no—
312C4×D73—42no—
313C4×D73—42no—
314C4×D73—42no—
315C4×D73H(5,𝔽2)14yes—
316Dic146—42no—
317Dic146—41no—
318#10596833—28no—
319#10596833—28no—
320C22×C73—21no—
321C22×C73—22no—
322C22×C73—22no—
323C22×C73—22no—
324C22×C73—24no—
325C22×C73—22no—
326C22×C73—22no—
327C22×C73—44no—
328C22×C73C24×C411yescharacteristic
329C2×D73—21no—
330C2×D73—22no—
331C2×D73—22no—
332C2×D73—22no—
333C2×D73—24no—
334C2×D73—22no—
335C2×D73—22no—
336C2×D73—48no—
337C2×D73—44no—
338C2×D73—48no—
339C2×D73—44no—
340C2×D73—48no—
341C2×D73#51812yes—
342C2×D73#56814yes—
343C4×C73—21no—
344C4×C73—22no—
345C4×C73—22no—
346C4×C73—24no—
347C4×C73#51812yes—
348Dic73—21no—
349Dic73—22no—
350Dic73—22no—
351Dic73—24no—
352Dic73C2×H(5,𝔽2)12yes—
353C2×#2978—731nomaximal, Sylow
354C2×C73—41no—
355C2×C73—42no—
356C2×C73—42no—
357C2×C73C2×#51811yescharacteristic
358C2×C73C2×#56812yes—
359D73—42no—
360D73—41no—
361D73—42no—
362D73#297814yescomplemented
363C2×#525—731no—
364#2978—734no—
365#2978—734no—
366#2978—734no—
367#2978—734no—
368C2×#436—734no—
369C2×#435—734no—
370C2×#433—732no—
371C2×#408—732no—
372C2×#407—732no—
373C73C2×#297811yescharacteristic, complemented, Sylow
374C22×#41—731no—
375C24×C4—731no—
376C22×M16—734no—
377C22×M16—732no—
378C23×C8—732no—
379#525—731no—
380#525—731no—
381#525—732no—
382#525—732no—
383#525—732no—
384#525—732no—
385#525—734no—
386#525—731no—
387#525#6440811yescharacteristic
388C2×#123—732no—
389C2×C22⋊Q8—732no—
390C2×#121—732no—
391C2×#120—732no—
392C2×C4×D4—734no—
393C2×#117—731no—
394#436—738no—
395#436—738no—
396#436—738no—
397#436—738no—
398#435—738no—
399#435—738no—
400#435—738no—
401#435—738no—
402#433—738no—
403#433—738no—
404C2×C4⋊C8—734no—
405#408—734no—
406#408—734no—
407#408—734no—
408#408—734no—
409#407—734no—
410#407—734no—
411#407—734no—
412#407—734no—
413C2×C22⋊C8—734no—
414C2×C22⋊C8—732no—
415C2×C22⋊C8—732no—
416C2×C22⋊C8—734no—
417C2×#97—732no—
418C2×C4×C8—732no—
419C25—731no—
420C2×#41—2924no—
421C2×#41—731no—
422C2×#41—732no—
423C2×#41—731no—
424C2×#41—732no—
425C2×#41—731no—
426C2×#41C2×#6440811yescharacteristic
427C22×Q8—731no—
428C22×D4—734no—
429C22×D4—732no—
430C22×D4—731no—
431C23×C4—2924no—
432C23×C4—731no—
433C23×C4—732no—
434C23×C4—731no—
435C23×C4—731no—
436C23×C4—732no—
437C23×C4—732no—
438C23×C4—731no—
439C23×C4—731no—
440C23×C4—732no—
441C23×C4—732no—
442C23×C4C2×#6440811yescharacteristic
443C2×M16—2928no—
444C2×M16—2924no—
445C2×M16—738no—
446C2×M16—734no—
447C2×M16—738no—
448C2×M16—734no—
449C22×C8—2924no—
450C22×C8—734no—
451C22×C8—734no—
452C22×C8—734no—
453C22×C8—734no—
454#123—732no—
455#123—732no—
456#123—734no—
457#123—734no—
458#123—732no—
459#123C2×#6440812yes—
460C22⋊Q8—732no—
461C22⋊Q8—732no—
462C22⋊Q8—734no—
463C22⋊Q8—732no—
464C22⋊Q8—734no—
465C22⋊Q8C2×#6440812yes—
466#121—732no—
467#121—734no—
468#121—732no—
469#121—732no—
470#121—734no—
471#121C2×#6440812yes—
472#120—732no—
473#120—732no—
474#120—734no—
475#120—734no—
476#120—732no—
477#120C2×#6440812yes—
478C4×D4—734no—
479C4×D4—734no—
480C4×D4—734no—
481C4×D4—734no—
482C4×D4—734no—
483C4×D4—734no—
484C4×D4—734no—
485C4×D4C2×#6440814yes—
486#117—731no—
487#117—732no—
488#117—732no—
489#117—732no—
490#117C2×#6440811yescharacteristic
491C2×C4⋊C4—732no—
492C2×C4⋊C4—734no—
493C2×C22⋊C4—732no—
494C2×C22⋊C4—734no—
495C2×C22⋊C4—734no—
496C2×C42—732no—
497C4⋊C8—738no—
498C4⋊C8—738no—
499C22⋊C8—738no—
500C22⋊C8—738no—
501C22⋊C8—734no—
502C22⋊C8—734no—
503C22⋊C8—734no—
504C22⋊C8—734no—
505C22⋊C8—738no—
506C22⋊C8—738no—
507#97—738no—
508C4×C8—738no—
509C24—2922no—
510C24—2924no—
511C24—731no—
512C24—732no—
513C24—731no—
514C24—732no—
515C24—732no—
516C24C22×#6440811yescharacteristic
517#41—42no—
518#41—2922no—
519#41—2924no—
520#41—2922no—
521#41—2922no—
522#41—2922no—
523#41—2922no—
524C2×Q8—2922no—
525C2×Q8—731no—
526C2×Q8—732no—
527C2×Q8C22×#6440811yescharacteristic
528C2×D4—2928no—
529C2×D4—2922no—
530C2×D4—2924no—
531C2×D4—734no—
532C2×D4—734no—
533C2×D4—732no—
534C2×D4—732no—
535C2×D4—732no—
536C2×D4—734no—
537C2×D4—732no—
538C2×D4—731no—
539C2×D4C22×#6440814yes—
540C2×D4C22×#6440812yes—
541C2×D4C22×#6440811yescharacteristic
542C22×C4—42no—
543C22×C4—2922no—
544C22×C4—2924no—
545C22×C4—2924no—
546C22×C4—2922no—
547C22×C4—2922no—
548C22×C4—2924no—
549C22×C4—2922no—
550C22×C4—732no—
551C22×C4—731no—
552C22×C4—732no—
553C22×C4—732no—
554C22×C4—732no—
555C22×C4—731no—
556C22×C4—731no—
557C22×C4—732no—
558C22×C4—732no—
559C22×C4—734no—
560C22×C4—732no—
561C22×C4—732no—
562C22×C4—731no—
563C22×C4—731no—
564C22×C4—732no—
565C22×C4—732no—
566C22×C4—731no—
567C22×C4—732no—
568C22×C4—732no—
569C22×C4—1464no—
570C22×C4—1468no—
571C22×C4—1464no—
572C22×C4—1464no—
573C22×C4C22×#6440811yescharacteristic
574C22×C4C22×#6440812yes—
575C22×C4C22×#6440812yes—
576C22×C4C22×#6440812yes—
577C22×C4C22×#6440811yescharacteristic
578M16—2928no—
579M16—2924no—
580M16—2928no—
581M16—2924no—
582C2×C8—2924no—
583C2×C8—2924no—
584C2×C8—738no—
585C2×C8—738no—
586C2×C8—1468no—
587C2×C8—1468no—
588C4⋊C4—734no—
589C4⋊C4—734no—
590C4⋊C4—734no—
591C4⋊C4—732no—
592C4⋊C4—734no—
593C4⋊C4C22×#6440812yes—
594C4⋊C4C22×#6440814yes—
595C22⋊C4—732no—
596C22⋊C4—734no—
597C22⋊C4—734no—
598C22⋊C4—734no—
599C22⋊C4—734no—
600C22⋊C4—734no—
601C22⋊C4—734no—
602C22⋊C4—734no—
603C22⋊C4C22×#6440812yes—
604C22⋊C4C22×#6440814yes—
605C22⋊C4C22×#6440814yes—
606C42—734no—
607C42—732no—
608C42C22×#6440812yes—
609C23—41no—
610C23—42no—
611C23—2921no—
612C23—2922no—
613C23—2922no—
614C23—2922no—
615C23—2922no—
616C23—29216no—
617C23—731no—
618C23—731no—
619C23—732no—
620C23—732no—
621C23—1462no—
622C23—1464no—
623C23—1464no—
624C23—1464no—
625C23—1468no—
626C23—1464no—
627C23—1464no—
628C23C23×#6440811yescharacteristic
629C23C23×#6440812yes—
630C23C23×#6440812yes—
631Q8—41no—
632Q8—2921no—
633Q8—2922no—
634D4—41no—
635D4—42no—
636D4—44no—
637D4—2921no—
638D4—2922no—
639D4—2924no—
640D4—2922no—
641D4—2922no—
642D4—2922no—
643D4—2924no—
644D4—2924no—
645C2×C4—22no—
646C2×C4—24no—
647C2×C4—24no—
648C2×C4—42no—
649C2×C4—41no—
650C2×C4—2922no—
651C2×C4—2922no—
652C2×C4—2922no—
653C2×C4—2922no—
654C2×C4—2921no—
655C2×C4—731no—
656C2×C4—734no—
657C2×C4—734no—
658C2×C4—732no—
659C2×C4—732no—
660C2×C4—731no—
661C2×C4—1462no—
662C2×C4—1464no—
663C2×C4—1462no—
664C2×C4—1462no—
665C2×C4—1462no—
666C2×C4—1464no—
667C2×C4—1464no—
668C2×C4—1468no—
669C2×C4—1462no—
670C2×C4—1464no—
671C2×C4—1462no—
672C2×C4—1462no—
673C2×C4—1462no—
674C2×C4—1464no—
675C2×C4—1464no—
676C2×C4C23×#6440814yes—
677C2×C4C23×#6440812yes—
678C2×C4C23×#6440812yes—
679C2×C4C23×#6440811yescharacteristic
680C2×C4C23×#6440811yescharacteristic
681C8—1468no—
682C8—1468no—
683C22—21no—
684C22—22no—
685C22—22no—
686C22—22no—
687C22—24no—
688C22—22no—
689C22—22no—
690C22—44no—
691C22—2924no—
692C22—2928no—
693C22—2924no—
694C22—2928no—
695C22—2928no—
696C22—732no—
697C22—734no—
698C22—1461no—
699C22—1462no—
700C22—1462no—
701C22—1462no—
702C22—1464no—
703C22—1462no—
704C22—1462no—
705C22C24×#6440811yescharacteristic
706C4—21no—
707C4—22no—
708C4—22no—
709C4—24no—
710C4—732no—
711C4—1461no—
712C4—1462no—
713C4—1462no—
714C4—1464no—
715C4#1798965412yes—
716C2—41no—
717C2—42no—
718C2—42no—
719C2—2921no—
720C2—2922no—
721C2—2922no—
722C2—734no—
723C2C2×#1798965411yescharacteristic
724C2D73⋊#56812yes—
subgroupG/H
centerC2×C4C23×#64408
commutator, socleC22×C73C24×C4
FrattiniC22C24×#64408
Fitting#525×C73C4
prime radical#525×D73C2
cosocleC2×Dic73C25
hypercenter#525#64408
hypocenterC73C2×#2978
LCSG ▷ C22×C73 ▷ C73
UCSC1 ◁ C2×C4 ◁ #525

Complements

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

NH ≅ G/Ntype
1. #22626810C2semidirect
2. #22626809C2semidirect
3. #22626808C2semidirect
4. #22626807C2semidirect
5. D73⋊#436C2semidirect
6. D73⋊#435C2semidirect
7. D73⋊#433C2semidirect
8. D73⋊#408C2semidirect
9. D73⋊#407C2semidirect
12. C2×D73⋊M16C22semidirect
13. C22×#11924036C22semidirect
14. #17989622C22semidirect
15. #17989621C22semidirect
16. #17989620C22semidirect
17. #17989620C22semidirect
18. #17989619C22semidirect
19. #17989618C22semidirect
20. #17989617C22semidirect
21. #17989616C22semidirect
22. #17989612C22semidirect
23. #17989611C22semidirect
24. #17989588C22semidirect
25. #17989562C22semidirect
26. #17989561C22semidirect
27. #17989560C22semidirect
28. #17989560C22semidirect
29. #17989559C22semidirect
30. #17989558C22semidirect
31. #17989558C22semidirect
32. #17989557C22semidirect
36. #17989555C22semidirect
37. #17989546C22semidirect
38. C4×#11924036C22semidirect
57. C2×#11924038C23semidirect
61. C2×#11924037C23semidirect
65. C2×#11924036C23semidirect
66. C22×#10596833C23semidirect
67. #14556658C23semidirect
68. C4⋊#10596833C23semidirect
72. #14556648C23semidirect
76. C22⋊#10596833C23semidirect
77. #14556646C23semidirect
78. C4×#10596833C23semidirect
362. D73#2978semidirect
373. C73C2×#2978semidirect

Maximal subgroups

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

subgroupindex
#226268102
#226268092
#226268082
#226268072
D73⋊#4362
D73⋊#4352
D73⋊#4332
D73⋊#4082
D73⋊#4072
#525×D732
C2×#297873