Finite Group Databasebeta

← C2×#22614315 #33254953

Subgroups — C2×#22614315 #33254953

Order 18688.

2398 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22614315C2116yesmaximal, direct product factor
2C2×C73⋊#401C211yesmaximal, characteristic, complemented
3C2×#17988529C211yesmaximal, characteristic, complemented
4C2×#17988527C211yesmaximal, characteristic, complemented
5C2×#17988525C211yesmaximal, characteristic, complemented
6C2×#17988474C211yesmaximal, characteristic, complemented
7C2×#17988473C211yesmaximal, characteristic, complemented
8C2×#17988461C211yesmaximal, characteristic
9C2×#17988458C211yesmaximal, characteristic
10C2×#17988455C211yesmaximal, characteristic, complemented
11C2×#17988449C211yesmaximal, characteristic
12C2×#17988449C211yesmaximal, characteristic
13C2×#17988444C211yesmaximal, characteristic
14C2×C4×#11924005C211yesmaximal, characteristic
15C2×#95×D73C211yesmaximal, characteristic
16C2×#387×C73C211yesmaximal, characteristic, complemented
17C23×C4×D73C2211yescharacteristic
18C23×C4×D73C2211yescharacteristic
19C23×C4×D73C2211yescharacteristic
20C22×C4⋊Dic73C2211yescharacteristic
21C22×C4⋊Dic73C2211yescharacteristic
22C22×#11924007C2211yescharacteristic
23C22×#11924007C2211yescharacteristic
24C22×#11924005C2211yescharacteristic
25C22×#11924005C2211yescharacteristic
26C22×#11924005C2211yescharacteristic
27C22×#11924005C2211yescharacteristic
28C22×C4×Dic73C2211yescharacteristic
29C73⋊#401C2218yescomplemented
30#17988529C2218yescomplemented
31#17988527C2218yescomplemented
32#17988525C2218yescomplemented
33#17988474C2218yescomplemented
34#17988473C2218yescomplemented
35#17988461C2218yes—
36#17988458C2218yes—
37#17988455C2218yescomplemented
38#17988449C2218yes—
39#17988449C2218yes—
40#17988444C2218yes—
41C4×#11924005C2218yes—
42C2×#14556498C2211yescharacteristic
43C2×#14556498C2211yescharacteristic
44C2×#14556498C2211yescharacteristic
45C2×#14556498C2211yescharacteristic
46C2×#14556498C2211yescharacteristic
47C2×#14556498C2211yescharacteristic
48C2×#14556498C2211yescharacteristic
49C2×#14556498C2211yescharacteristic
50C2×#14556498C2211yescharacteristic
51C2×#14556498C2211yescharacteristic
52C2×#14556498C2211yescharacteristic
53C2×#14556498C2211yescharacteristic
54C2×#14556498C2211yescharacteristic
55C2×#14556498C2211yescharacteristic
56C2×#14556498C2211yescharacteristic
57C2×#14556498C2211yescharacteristic
58#95×D73C2218yes—
59C22×C4⋊C4×C73C2211yescharacteristic
60C22×C4⋊C4×C73C2211yescharacteristic
61C22×C42×C73C2211yescharacteristic
62#387×C73C2218yescomplemented
63C2×#95×C73C2211yescharacteristic
64C2×#95×C73C2211yescharacteristic
65C2×#95×C73C2211yescharacteristic
66C2×#95×C73C2211yescharacteristic
67C24×D73C2311yescharacteristic
68C23×Dic73C2311yescharacteristic
69C23×Dic73C2311yescharacteristic
70C23×Dic73C2311yescharacteristic
71C23×Dic73C2311yescharacteristic
72C23×Dic73C2311yescharacteristic
73C23×Dic73C2311yescharacteristic
74C23×Dic73C2311yescharacteristic
75C22×C4×D73—24no—
76C22×C4×D73—24no—
77C22×C4×D73—24no—
78C22×C4×D73—24no—
79C22×C4×D73—24no—
80C22×C4×D73—24no—
81C22×C4×D73—24no—
82C22×C4×D73—42no—
83C22×C4×D73—42no—
84C22×C4×D73C2314yes—
85C22×C4×D73C2314yes—
86C22×C4×D73C2314yes—
87C2×C4⋊Dic73—42no—
88C2×C4⋊Dic73—42no—
89C2×C4⋊Dic73C2314yes—
90C2×C4⋊Dic73C2314yes—
91C2×#11924007—24no—
92C2×#11924007—42no—
93C2×#11924007C2314yes—
94C2×#11924007C2314yes—
95C2×#11924005—24no—
96C2×#11924005—24no—
97C2×#11924005—24no—
98C2×#11924005—24no—
99C2×#11924005C2314yes—
100C2×#11924005C2314yes—
101C2×#11924005C2314yes—
102C2×#11924005C2314yes—
103C2×C4×Dic73—42no—
104C2×C4×Dic73C2314yes—
105#14556498C2314yes—
106#14556498C2314yes—
107#14556498C2314yes—
108#14556498C2314yes—
109#14556498C2314yes—
110#14556498C2314yes—
111#14556498C2314yes—
112#14556498C2314yes—
113#14556498C2314yes—
114#14556498C2314yes—
115#14556498C2314yes—
116#14556498C2314yes—
117#14556498C2314yes—
118#14556498C2314yes—
119#14556498C2314yes—
120#14556498C2314yes—
121C23×C4×C73C2311yescharacteristic
122C23×C4×C73C2311yescharacteristic
123C23×C4×C73C2311yescharacteristic
124C23×C4×C73C2311yescharacteristic
125C23×C4×C73C2311yescharacteristic
126C23×C4×C73C2311yescharacteristic
127C23×C4×C73C2311yescharacteristic
128C2×C4⋊C4×C73—24no—
129C2×C4⋊C4×C73—24no—
130C2×C4⋊C4×C73C2314yes—
131C2×C4⋊C4×C73C2314yes—
132C2×C42×C73—24no—
133C2×C42×C73C2314yes—
134#95×C73C2314yes—
135#95×C73C2314yes—
136#95×C73C2314yes—
137#95×C73C2314yes—
138C23×D73—22no—
139C23×D73—22no—
140C23×D73—22no—
141C23×D73—22no—
142C23×D73#4114yes—
143C23×D73#4114yes—
144C23×D73#4114yes—
145C23×D73C2412yes—
146C22×Dic73—22no—
147C22×Dic73—22no—
148C22×Dic73—22no—
149C22×Dic73—22no—
150C22×Dic73—22no—
151C22×Dic73—22no—
152C22×Dic73—22no—
153C22×Dic73—22no—
154C22×Dic73—22no—
155C22×Dic73—22no—
156C22×Dic73—22no—
157C22×Dic73—22no—
158C22×Dic73—22no—
159C22×Dic73—22no—
160C22×Dic73—22no—
161C22×Dic73—22no—
162C22×Dic73—22no—
163C22×Dic73—22no—
164C22×Dic73—22no—
165C22×Dic73—22no—
166C22×Dic73—22no—
167C22×Dic73C2412yes—
168C22×Dic73C2412yes—
169C22×Dic73C2412yes—
170C22×Dic73C2412yes—
171C22×Dic73C2412yes—
172C22×Dic73C2412yes—
173C22×Dic73C2412yes—
174C2×C4×D73—28no—
175C2×C4×D73—28no—
176C2×C4×D73—28no—
177C2×C4×D73—28no—
178C2×C4×D73—28no—
179C2×C4×D73—28no—
180C2×C4×D73—28no—
181C2×C4×D73—44no—
182C2×C4×D73—44no—
183C2×C4×D73—416no—
184C2×C4×D73—416no—
185C2×C4×D73—416no—
186C4⋊Dic73—44no—
187C4⋊Dic73—44no—
188#11924007—28no—
189#11924007—44no—
190#11924005—28no—
191#11924005—28no—
192#11924005—28no—
193#11924005—28no—
194C4×Dic73—44no—
195C24×C73C2411yescharacteristic
196C22×C4×C73—22no—
197C22×C4×C73—22no—
198C22×C4×C73—22no—
199C22×C4×C73—22no—
200C22×C4×C73—22no—
201C22×C4×C73—22no—
202C22×C4×C73—22no—
203C22×C4×C73—22no—
204C22×C4×C73—22no—
205C22×C4×C73—22no—
206C22×C4×C73—22no—
207C22×C4×C73—22no—
208C22×C4×C73—22no—
209C22×C4×C73—22no—
210C22×C4×C73—22no—
211C22×C4×C73—22no—
212C22×C4×C73—22no—
213C22×C4×C73—22no—
214C22×C4×C73—22no—
215C22×C4×C73#4114yes—
216C22×C4×C73#4114yes—
217C22×C4×C73C2412yes—
218C22×C4×C73C2412yes—
219C22×C4×C73C2412yes—
220C22×C4×C73C2412yes—
221C22×C4×C73C2412yes—
222C22×C4×C73C2412yes—
223C22×C4×C73C2412yes—
224C4⋊C4×C73—28no—
225C4⋊C4×C73—28no—
226C42×C73—28no—
227C23×C73C2×#4112yes—
228C23×C73C2×#4112yes—
229C23×C73C2×#4112yes—
230C23×C73C2×#4112yes—
231C23×C73C2×#4112yes—
232C23×C73H(5,𝔽2)12yes—
233C23×C732−1+412yes—
234C23×C73C2511yescharacteristic
235C22×D73—28no—
236C22×D73—28no—
237C22×D73—28no—
238C22×D73—28no—
239C22×D73—28no—
240C22×D73—28no—
241C22×D73—22no—
242C22×D73—22no—
243C22×D73—22no—
244C22×D73—22no—
245C22×D73#126116yes—
246C22×D73C2×#4114yes—
247C22×D73C2×#4114yes—
248C22×D73C2×#4114yes—
249C2×C4×C73—28no—
250C2×C4×C73—28no—
251C2×C4×C73—22no—
252C2×C4×C73—22no—
253C2×C4×C73—22no—
254C2×C4×C73—22no—
255C2×C4×C73—22no—
256C2×C4×C73—22no—
257C2×C4×C73—22no—
258C2×C4×C73—22no—
259C2×C4×C73—22no—
260C2×C4×C73—22no—
261C2×C4×C73—22no—
262C2×C4×C73—22no—
263C2×C4×C73—22no—
264C2×C4×C73—22no—
265C2×C4×C73—22no—
266C2×C4×C73—22no—
267C2×C4×C73—22no—
268C2×C4×C73—22no—
269C2×C4×C73—22no—
270C2×C4×C73—44no—
271C2×C4×C73—44no—
272C2×C4×C73—44no—
273C2×C4×C73—44no—
274C2×C4×C73—44no—
275C2×C4×C73C2×#4114yes—
276C2×C4×C73C2×#4114yes—
277C2×Dic73—22no—
278C2×Dic73—22no—
279C2×Dic73—22no—
280C2×Dic73—22no—
281C2×Dic73—22no—
282C2×Dic73—22no—
283C2×Dic73—22no—
284C2×Dic73—22no—
285C2×Dic73—22no—
286C2×Dic73—22no—
287C2×Dic73—22no—
288C2×Dic73—22no—
289C2×Dic73—22no—
290C2×Dic73—22no—
291C2×Dic73—22no—
292C2×Dic73—22no—
293C2×Dic73—22no—
294C2×Dic73—22no—
295C2×Dic73—22no—
296C2×Dic73—22no—
297C2×Dic73—22no—
298C2×Dic73—44no—
299C2×Dic73—44no—
300C2×Dic73—44no—
301C2×Dic73—44no—
302C2×Dic73—44no—
303C2×Dic73—44no—
304C2×Dic73—44no—
305C4×D73—416no—
306C4×D73—416no—
307C4×D73—416no—
308C22×C73C2×#12614yes—
309C22×C73#52914yes—
310C22×C73#53914yes—
311C22×C73#55114yes—
312C22×C73#55114yes—
313C22×C73#55214yes—
314C22×C73#55214yes—
315C22×C73C22×#4111yescharacteristic
316C22×C73C22×#4111yescharacteristic
317C22×C73C22×#4111yescharacteristic
318C22×C73C22×#4111yescharacteristic
319C22×C73C22×#4111yescharacteristic
320C22×C73C2×H(5,𝔽2)11yescharacteristic
321C22×C73C2×2−1+411yescharacteristic
322C2×D73—24no—
323C2×D73—24no—
324C2×D73—24no—
325C2×D73—24no—
326C2×D73—24no—
327C2×D73—24no—
328C2×D73—232no—
329C2×D73C2×#12618yes—
330C4×C73—24no—
331C4×C73—24no—
332C4×C73—42no—
333C4×C73—42no—
334C4×C73—42no—
335C4×C73—42no—
336C4×C73—42no—
337Dic73—42no—
338Dic73—42no—
339Dic73—42no—
340Dic73—42no—
341Dic73—42no—
342Dic73—42no—
343Dic73—42no—
344C2×#2493—731nomaximal, Sylow
345C2×C73#249318yescomplemented
346C2×C73C22×#12611yescharacteristic
347C2×C73C2×#52911yescharacteristic
348C2×C73C2×#53911yescharacteristic
349C2×C73C2×#55111yescharacteristic
350C2×C73C2×#55111yescharacteristic
351C2×C73C2×#55211yescharacteristic
352C2×C73C2×#55211yescharacteristic
353D73—28no—
354#2493—7316no—
355C2×#401—731no—
356C2×#400—731no—
357C2×#400—731no—
358C2×#400—731no—
359C2×#387—731no—
360C2×#387—731no—
361C2×#387D7311yescharacteristic, complemented
362C2×#385—731no—
363C2×#385—731no—
364C2×#383—731no—
365C2×#381—731no—
366C2×#381—731no—
367C2×#380—731no—
368C2×C4×C22⋊C4—731no—
369C22×#95—731no—
370C73C2×#249311yescharacteristic, complemented, Sylow
371C24×C4—731no—
372C24×C4—731no—
373C24×C4—731no—
374C22×C4⋊C4—731no—
375C22×C4⋊C4—731no—
376C22×C4⋊C4—731no—
377C22×C4⋊C4—731no—
378C22×C4⋊C4C2×D7311yescharacteristic
379C22×C4⋊C4C2×D7311yescharacteristic
380C22×C22⋊C4—731no—
381C22×C22⋊C4—731no—
382C22×C22⋊C4—731no—
383C22×C22⋊C4—731no—
384C22×C42—731no—
385C22×C42C2×D7311yescharacteristic
386#401—738no—
387#400—738no—
388#400—738no—
389#400—738no—
390#387—738no—
391#387—738no—
392#387C2×D7318yescomplemented
393#385—738no—
394#385—738no—
395#383—738no—
396#381—738no—
397#381—738no—
398#380—738no—
399C4×C22⋊C4—738no—
400C2×#95—731no—
401C2×#95—731no—
402C2×#95—731no—
403C2×#95—731no—
404C2×#95—731no—
405C2×#95—731no—
406C2×#95—731no—
407C2×#95—731no—
408C2×#95—731no—
409C2×#95—731no—
410C2×#95—731no—
411C2×#95—731no—
412C2×#95—731no—
413C2×#95—731no—
414C2×#95—731no—
415C2×#95—731no—
416C2×#95—738no—
417C2×#95C2×D7311yescharacteristic
418C2×#95C2×D7311yescharacteristic
419C2×#95C2×D7311yescharacteristic
420C2×#95C2×D7311yescharacteristic
421C25—731no—
422C23×C4—2922no—
423C23×C4—2922no—
424C23×C4—734no—
425C23×C4—734no—
426C23×C4—731no—
427C23×C4—731no—
428C23×C4—731no—
429C23×C4—731no—
430C23×C4—731no—
431C23×C4—731no—
432C23×C4—731no—
433C23×C4—734no—
434C23×C4—1464no—
435C23×C4—1464no—
436C23×C4—1464no—
437C23×C4—1464no—
438C23×C4—1464no—
439C23×C4—1464no—
440C23×C4—1464no—
441C23×C4C22×D7311yescharacteristic
442C23×C4C22×D7311yescharacteristic
443C23×C4C22×D7311yescharacteristic
444C23×C4C22×D7311yescharacteristic
445C23×C4C22×D7311yescharacteristic
446C23×C4C22×D7311yescharacteristic
447C23×C4C22×D7311yescharacteristic
448C2×C4⋊C4—24no—
449C2×C4⋊C4—24no—
450C2×C4⋊C4—2922no—
451C2×C4⋊C4—2922no—
452C2×C4⋊C4—2922no—
453C2×C4⋊C4—734no—
454C2×C4⋊C4—734no—
455C2×C4⋊C4—734no—
456C2×C4⋊C4—734no—
457C2×C4⋊C4—1464no—
458C2×C4⋊C4C22×D7314yes—
459C2×C4⋊C4C22×D7314yes—
460C2×C22⋊C4—734no—
461C2×C22⋊C4—734no—
462C2×C22⋊C4—734no—
463C2×C22⋊C4—734no—
464C2×C22⋊C4—1464no—
465C2×C22⋊C4—1464no—
466C2×C22⋊C4—1464no—
467C2×C22⋊C4—1464no—
468C2×C42—24no—
469C2×C42—2922no—
470C2×C42—734no—
471C2×C42C22×D7314yes—
472#95—734no—
473#95—734no—
474#95—734no—
475#95—734no—
476#95—734no—
477#95—734no—
478#95—734no—
479#95—734no—
480#95—734no—
481#95—734no—
482#95—734no—
483#95—734no—
484#95—734no—
485#95—734no—
486#95—734no—
487#95—734no—
488#95C22×D7314yes—
489#95C22×D7314yes—
490#95C22×D7314yes—
491#95C22×D7314yes—
492C24—734no—
493C24—734no—
494C24—734no—
495C24—732no—
496C24—1462no—
497C24—1462no—
498C24—1462no—
499C24—1462no—
500C24C23×D7311yescharacteristic
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—22no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—22no—
509C22×C4—22no—
510C22×C4—22no—
511C22×C4—22no—
512C22×C4—22no—
513C22×C4—22no—
514C22×C4—22no—
515C22×C4—22no—
516C22×C4—22no—
517C22×C4—22no—
518C22×C4—22no—
519C22×C4—22no—
520C22×C4—29216no—
521C22×C4—29216no—
522C22×C4—2924no—
523C22×C4—2924no—
524C22×C4—29216no—
525C22×C4—732no—
526C22×C4—732no—
527C22×C4—732no—
528C22×C4—732no—
529C22×C4—732no—
530C22×C4—732no—
531C22×C4—732no—
532C22×C4—1468no—
533C22×C4—1468no—
534C22×C4—1468no—
535C22×C4—1468no—
536C22×C4—1468no—
537C22×C4—1462no—
538C22×C4—1462no—
539C22×C4—1462no—
540C22×C4—1462no—
541C22×C4—1462no—
542C22×C4—1462no—
543C22×C4—1462no—
544C22×C4—1462no—
545C22×C4—1462no—
546C22×C4—1462no—
547C22×C4—1462no—
548C22×C4—1462no—
549C22×C4—1462no—
550C22×C4—1462no—
551C22×C4—1462no—
552C22×C4—1462no—
553C22×C4—1462no—
554C22×C4—1462no—
555C22×C4—1462no—
556C22×C4—1462no—
557C22×C4—1462no—
558C22×C4—1468no—
559C22×C4—1468no—
560C22×C4#1192402714yes—
561C22×C4#1192402814yes—
562C22×C4C23×D7312yes—
563C22×C4C23×D7312yes—
564C22×C4C23×D7312yes—
565C22×C4C23×D7312yes—
566C22×C4C23×D7312yes—
567C22×C4C23×D7312yes—
568C22×C4C23×D7312yes—
569C4⋊C4—28no—
570C4⋊C4—28no—
571C4⋊C4—2924no—
572C4⋊C4—2924no—
573C4⋊C4—2924no—
574C4⋊C4—1468no—
575C22⋊C4—1468no—
576C22⋊C4—1468no—
577C22⋊C4—1468no—
578C22⋊C4—1468no—
579C42—28no—
580C42—2924no—
581C23—734no—
582C23—734no—
583C23—734no—
584C23—7316no—
585C23—1462no—
586C23—1462no—
587C23—1462no—
588C23—1462no—
589C23—1468no—
590C23—1468no—
591C23—1468no—
592C23—1468no—
593C23—1468no—
594C23—1468no—
595C23#41×D7312yes—
596C23#41×D7312yes—
597C23#41×D7312yes—
598C23C2×#1192402712yes—
599C23C2×#1192402812yes—
600C23#1455663712yes—
601C23#1455663912yes—
602C23C24×D7311yescharacteristic
603C2×C4—22no—
604C2×C4—22no—
605C2×C4—22no—
606C2×C4—22no—
607C2×C4—28no—
608C2×C4—28no—
609C2×C4—22no—
610C2×C4—22no—
611C2×C4—22no—
612C2×C4—22no—
613C2×C4—22no—
614C2×C4—22no—
615C2×C4—22no—
616C2×C4—22no—
617C2×C4—22no—
618C2×C4—22no—
619C2×C4—22no—
620C2×C4—22no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—22no—
624C2×C4—44no—
625C2×C4—44no—
626C2×C4—44no—
627C2×C4—44no—
628C2×C4—44no—
629C2×C4—29216no—
630C2×C4—29216no—
631C2×C4—29216no—
632C2×C4—2924no—
633C2×C4—2924no—
634C2×C4—2924no—
635C2×C4—2924no—
636C2×C4—2924no—
637C2×C4—2924no—
638C2×C4—2924no—
639C2×C4—1462no—
640C2×C4—1462no—
641C2×C4—1462no—
642C2×C4—1462no—
643C2×C4—1462no—
644C2×C4—1462no—
645C2×C4—1462no—
646C2×C4—1462no—
647C2×C4—1462no—
648C2×C4—1462no—
649C2×C4—1462no—
650C2×C4—1462no—
651C2×C4—1462no—
652C2×C4—1462no—
653C2×C4—1462no—
654C2×C4—1462no—
655C2×C4—1462no—
656C2×C4—1462no—
657C2×C4—1462no—
658C2×C4—1462no—
659C2×C4—1462no—
660C2×C4C2×#1192402714yes—
661C2×C4C2×#1192402814yes—
662C22—738no—
663C22—14632no—
664C22—1464no—
665C22—1464no—
666C22—1464no—
667C22—1464no—
668C22—1464no—
669C22—1464no—
670C22#126×D7314yes—
671C22#1798911914yes—
672C22#1798918514yes—
673C22#1798926014yes—
674C22#1798926114yes—
675C22#1798927114yes—
676C22#1798927814yes—
677C22C2×#41×D7311yescharacteristic
678C22C2×#41×D7311yescharacteristic
679C22C2×#41×D7311yescharacteristic
680C22C22×#1192402711yescharacteristic
681C22C22×#1192402811yescharacteristic
682C22C2×#1455663711yescharacteristic
683C22C2×#1455663911yescharacteristic
684C4—24no—
685C4—24no—
686C4—42no—
687C4—42no—
688C4—42no—
689C4—42no—
690C4—42no—
691C4—2922no—
692C4—2922no—
693C4—2922no—
694C4—2922no—
695C4—2922no—
696C4—2922no—
697C4—2922no—
698C2—1468no—
699C2#2261431518yesdirect product factor
700C2C2×#126×D7311yescharacteristic
701C2C2×#1798911911yescharacteristic
702C2C2×#1798918511yescharacteristic
703C2C2×#1798926011yescharacteristic
704C2C2×#1798926111yescharacteristic
705C2C2×#1798927111yescharacteristic
706C2C2×#1798927811yescharacteristic
subgroupG/H
centerC24C23×D73
commutator, cosocleC23×C73C25
FrattiniC23C24×D73
FittingC2×#387×C73C2
socleC24×C73C24
prime radicalC24×D73C23
hypercenterC2×#387D73
hypocenterC73C2×#2493
LCSG ▷ C23×C73 ▷ C73
UCSC1 ◁ C24 ◁ C2×#387

Complements

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

NH ≅ G/Ntype
1. #22614315C2direct (N × H)
2. C2×C73⋊#401C2semidirect
3. C2×#17988529C2semidirect
4. C2×#17988527C2semidirect
5. C2×#17988525C2semidirect
6. C2×#17988474C2semidirect
7. C2×#17988473C2semidirect
10. C2×#17988455C2semidirect
16. C2×#387×C73C2semidirect
29. C73⋊#401C22semidirect
30. #17988529C22semidirect
31. #17988527C22semidirect
32. #17988525C22semidirect
33. #17988474C22semidirect
34. #17988473C22semidirect
37. #17988455C22semidirect
62. #387×C73C22semidirect
345. C2×C73#2493semidirect
361. C2×#387D73semidirect
370. C73C2×#2493semidirect
392. #387C2×D73semidirect
699. C2#22614315direct (N × H)

Maximal subgroups

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

subgroupindex
#226143152
C2×C73⋊#4012
C2×#179885292
C2×#179885272
C2×#179885252
C2×#179884742
C2×#179884732
C2×#179884612
C2×#179884582
C2×#179884552
C2×#179884492
C2×#179884442
C2×C4×#119240052
C2×#95×D732
C2×#387×C732
C2×#249373