Finite Group Databasebeta

← #17003265

Subgroups — #17003265

Order 4352.

870 conjugacy classes of subgroups.

The subgroup lattice has 700 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#14542670C211yesmaximal, characteristic
2#14537909C211yesmaximal, characteristic
3#14527515C211yesmaximal, characteristic, complemented
4#14527512C211yesmaximal, characteristic, complemented
5#14527509C211yesmaximal, characteristic, complemented
6#14527495C211yesmaximal, characteristic, complemented
7#14527492C211yesmaximal, characteristic, complemented
8#14527485C211yesmaximal, characteristic, complemented
9#14527482C211yesmaximal, characteristic, complemented
10#14527475C211yesmaximal, characteristic, complemented
11#14527472C211yesmaximal, characteristic, complemented
12#14527442C211yesmaximal, characteristic, complemented
13#14527439C211yesmaximal, characteristic, complemented
14C2×#11762557C211yesmaximal, characteristic, complemented
15C17×#2990C211yesmaximal, characteristic
16#11763537—21no—
17#11763537—21no—
18#11763529—21no—
19#11763529—21no—
20#11763499—21no—
21#11763499—21no—
22#11763499—21no—
23#11763499—21no—
24#11763421C412yes—
25#11763421C412yes—
26#11763380C412yes—
27#11763366C2211yescharacteristic
28#11763366C2211yescharacteristic
29#11763366C2211yescharacteristic
30#11763366C2211yescharacteristic
31#11763366C2211yescharacteristic
32C2×#10587555C2211yescharacteristic
33#11763286C412yes—
34#11762940—21no—
35#11762881—21no—
36#11762881—21no—
37D4×#3622—21no—
38#11762866C2211yescharacteristic
39#11762866C2211yescharacteristic
40#11762862C2211yescharacteristic
41#11762833C2211yescharacteristic
42C2×C4⋊#3622C2211yescharacteristic
43C2×C4⋊#3622C2211yescharacteristic
44#11762557C2211yescharacteristic
45#11762557C2211yescharacteristic
46#11762557C2211yescharacteristic
47#11762557C2211yescharacteristic
48#11762557C2211yescharacteristic
49#11762557C2211yescharacteristic
50#11762557C2211yescharacteristic
51#11762557C2211yescharacteristic
52#11762556C2211yescharacteristic
53#11762556C2211yescharacteristic
54#11762556C2211yescharacteristic
55#11762556C2211yescharacteristic
56#11762554C2211yescharacteristic
57#11762554C2211yescharacteristic
58#11762554C2211yescharacteristic
59#11762554C2211yescharacteristic
60C4×#41×C17C2211yescharacteristic
61C17×#446—21no—
62C17×#435—21no—
63C17×#435—21no—
64C8×D4×C17—21no—
65C17×#432C2211yescharacteristic
66C17×#432C2211yescharacteristic
67C17×#431C2211yescharacteristic
68C17×#423C2211yescharacteristic
69C2×C17×C4⋊C8C2211yescharacteristic
70C2×C17×C4⋊C8C2211yescharacteristic
71C2×#41×C17C2×C411yescharacteristic
72C22×Dic34C2×C412yes—
73C2×M16×C17—21no—
74C22×C8×C17—21no—
75C22×C8×C17—21no—
76C4×Q8×C17D411yescharacteristic
77C4×Q8×C17D411yescharacteristic
78C4×D4×C17D411yescharacteristic
79C4×D4×C17D411yescharacteristic
80C4×D4×C17D411yescharacteristic
81C4×D4×C17D411yescharacteristic
82C4×D4×C17D411yescharacteristic
83C4×D4×C17D411yescharacteristic
84C17×#117C2×C411yescharacteristic
85C17×#117C2×C411yescharacteristic
86C17×#117C2×C411yescharacteristic
87C2×C42×C17C2311yescharacteristic
88C2×C42×C17C2311yescharacteristic
89C2×C42×C17C2311yescharacteristic
90#10587630—22no—
91#10587622—22no—
92#10587621—22no—
93#10587621—22no—
94#10587612—21no—
95#10587612—21no—
96#10587612—21no—
97#10587612—21no—
98#10587612C2×C412yes—
99C2×C4⋊Dic17—21no—
100C2×C4⋊Dic17—21no—
101#10587610—21no—
102#10587610—21no—
103#10587610—21no—
104#10587610—21no—
105#10587610—21no—
106#10587610—21no—
107#10587610C2×C412yes—
108#10587610C2×C412yes—
109#10587610C2×C412yes—
110#10587610C2×C412yes—
111C2×#63223—21no—
112C22×#3622—21no—
113C22×#3622—21no—
114#10587575—22no—
115#10587575—22no—
116#10587575—22no—
117#10587575—22no—
118#10587573—22no—
119#10587573—22no—
120#10587565—22no—
121#10587565—22no—
122#10587565—22no—
123#10587565—22no—
124#10587563—22no—
125#10587563—22no—
126#10587556—21no—
127#10587556—21no—
128#10587556—21no—
129#10587556—21no—
130#10587556C2×C412yes—
131#10587555—21no—
132#10587555—21no—
133#10587555C2×C412yes—
134#10587555C2311yescharacteristic
135#10587555C2311yescharacteristic
136#10587555C2311yescharacteristic
137#10587555C2311yescharacteristic
138C4×Dic34—21no—
139C4×Dic34—21no—
140C4×Dic34—21no—
141C4×Dic34—21no—
142C4×Dic34—21no—
143C4×Dic34—21no—
144C4×Dic34C2×C412yes—
145C4×Dic34C2×C412yes—
146C4×Dic34C2×C412yes—
147C4×Dic34C2×C412yes—
148C17×C4⋊C8—21no—
149C17×C4⋊C8—21no—
150C17×C4⋊C8—21no—
151C17×C4⋊C8C2311yescharacteristic
152C17×C4⋊C8C2311yescharacteristic
153C17×C4⋊C8C2311yescharacteristic
154C17×C4⋊C8C2311yescharacteristic
155C17×C22⋊C8—21no—
156C17×C22⋊C8—21no—
157C17×C22⋊C8—21no—
158C17×#97—21no—
159C17×#97—21no—
160C4×C8×C17—21no—
161C22⋊#3622—21no—
162C22⋊#3622—21no—
163C22⋊#3622—21no—
164C4⋊#3622—21no—
165C4⋊#3622—21no—
166C4⋊#3622—21no—
167C4⋊#3622C2311yescharacteristic
168C4⋊#3622C2311yescharacteristic
169C4⋊#3622C2311yescharacteristic
170C4⋊#3622C2311yescharacteristic
171#10587474—21no—
172#10587474—21no—
173C4×#3622—21no—
174#41×C17—42no—
175C2×Q8×C17C22⋊C411yescharacteristic
176C2×D4×C17C22⋊C411yescharacteristic
177C2×D4×C17C22⋊C411yescharacteristic
178C2×D4×C17C22⋊C411yescharacteristic
179C22×C4×C17C22×C411yescharacteristic
180C22×C4×C17C22×C411yescharacteristic
181C22×C4×C17C22×C411yescharacteristic
182C22×C4×C17C2×D411yescharacteristic
183C22×C4×C17C2×D411yescharacteristic
184C22×C4×C17C2×D411yescharacteristic
185C22×C4×C17C2×D411yescharacteristic
186C22×C4×C17C2×D411yescharacteristic
187C22×C4×C17C2×D411yescharacteristic
188C22×Dic17—22no—
189C2×Dic34—22no—
190C2×Dic34—21no—
191C2×Dic34—21no—
192C2×Dic34—44no—
193C2×Dic34C22×C412yes—
194C2×Dic34C22×C412yes—
195M16×C17—81no—
196C2×C8×C17—21no—
197C2×C8×C17—21no—
198C2×C8×C17—21no—
199C2×C8×C17—21no—
200C2×C8×C17—81no—
201C2×C8×C17—81no—
202C4⋊C4×C17C22⋊C411yescharacteristic
203C4⋊C4×C17C22⋊C411yescharacteristic
204C4⋊C4×C17C22⋊C411yescharacteristic
205C4⋊C4×C17C22⋊C411yescharacteristic
206C4⋊C4×C17C22⋊C411yescharacteristic
207C4⋊C4×C17C22⋊C411yescharacteristic
208C22⋊C4×C17C22⋊C411yescharacteristic
209C22⋊C4×C17C22⋊C411yescharacteristic
210C22⋊C4×C17C22⋊C411yescharacteristic
211C22⋊C4×C17C22⋊C411yescharacteristic
212C22⋊C4×C17C22⋊C411yescharacteristic
213C22⋊C4×C17C22⋊C411yescharacteristic
214C42×C17C22×C411yescharacteristic
215C42×C17C22×C411yescharacteristic
216C42×C17C22×C411yescharacteristic
217C42×C17C2×D411yescharacteristic
218C42×C17C2×D411yescharacteristic
219C42×C17C2×D411yescharacteristic
220C42×C17C2×D411yescharacteristic
221C42×C17C2×D411yescharacteristic
222C42×C17C2×D411yescharacteristic
223C42×C17C2411yescharacteristic
224C22⋊Dic17—22no—
225C22⋊Dic17—22no—
226C22⋊Dic17—22no—
227C22⋊Dic17—22no—
228C22⋊Dic17—22no—
229C4⋊Dic17—22no—
230C4⋊Dic17—22no—
231C4⋊Dic17—21no—
232C4⋊Dic17—21no—
233C4⋊Dic17—21no—
234C4⋊Dic17—21no—
235C4⋊Dic17—21no—
236C4⋊Dic17—21no—
237C4⋊Dic17C22×C412yes—
238C4⋊Dic17C22×C412yes—
239#63225—22no—
240#63225—22no—
241#63225—22no—
242#63225—22no—
243#63225—22no—
244#63225—22no—
245#63225—22no—
246#63225—22no—
247#63225—22no—
248#63225—22no—
249C4×Dic17—22no—
250C4×Dic17—22no—
251C4×Dic17—22no—
252C4×Dic17—22no—
253C4×Dic17—22no—
254#63223—81no—
255C2×#3622—21no—
256C2×#3622—21no—
257C2×#3622—21no—
258C2×#3622—21no—
259C2×#3622—81no—
260C2×#3622—81no—
261#17780—171nomaximal, Sylow
262C23×C17C2×C22⋊C411yescharacteristic
263C23×C17C2×C22⋊C411yescharacteristic
264C23×C17C2×C22⋊C411yescharacteristic
265Q8×C17—41no—
266D4×C17—22no—
267D4×C17—22no—
268D4×C17—41no—
269C2×C4×C17—22no—
270C2×C4×C17—21no—
271C2×C4×C17—21no—
272C2×C4×C17—21no—
273C2×C4×C17—21no—
274C2×C4×C17—21no—
275C2×C4×C17—21no—
276C2×C4×C17—21no—
277C2×C4×C17—21no—
278C2×C4×C17—21no—
279C2×C4×C17—21no—
280C2×C4×C17—21no—
281C2×C4×C17—21no—
282C2×C4×C17—41no—
283C2×C4×C17—41no—
284C2×C4×C17C2×C22⋊C411yescharacteristic
285C2×C4×C17C2×C22⋊C411yescharacteristic
286C2×C4×C17C2×C22⋊C411yescharacteristic
287C2×C4×C17C2×C22⋊C411yescharacteristic
288C2×C4×C17C2×C22⋊C411yescharacteristic
289C2×C4×C17C2×C22⋊C411yescharacteristic
290C2×C4×C17C2×C22⋊C411yescharacteristic
291C2×C4×C17C2×C22⋊C411yescharacteristic
292C2×C4×C17C2×C22⋊C411yescharacteristic
293C2×C4×C17C23×C411yescharacteristic
294C2×C4×C17C22×D411yescharacteristic
295C2×C4×C17C22×D411yescharacteristic
296C2×Dic17—22no—
297C2×Dic17—22no—
298C2×Dic17—22no—
299C2×Dic17—22no—
300C2×Dic17—44no—
301Dic34—44no—
302Dic34—41no—
303Dic34—41no—
304Dic34—41no—
305Dic34—41no—
306Dic34—42no—
307Dic34—42no—
308C8×C17—41no—
309C8×C17—41no—
310C8×C17—41no—
311C8×C17—41no—
312#3622—41no—
313#3622—41no—
314#3622—41no—
315#3622—41no—
316#3509—171no—
317#2990—171no—
318#2990D1711yescharacteristic
319#1559—171no—
320#1559—171no—
321#1558—171no—
322#1554—171no—
323#1554—171no—
324#1552—171no—
325#1552—171no—
326#1550—171no—
327#1550—171no—
328#1542—171no—
329#1542—171no—
330C2×#333—171no—
331C22×C17—21no—
332C22×C17—21no—
333C22×C17—21no—
334C22×C17—21no—
335C22×C17—21no—
336C22×C17—21no—
337C22×C17—21no—
338C22×C17—21no—
339C22×C17#41312yes—
340C22×C17C22×C22⋊C411yescharacteristic
341C4×C17—21no—
342C4×C17—21no—
343C4×C17—21no—
344C4×C17—21no—
345C4×C17—21no—
346C4×C17—21no—
347C4×C17—21no—
348C4×C17—21no—
349C4×C17—21no—
350C4×C17—21no—
351C4×C17#57711yescharacteristic
352C4×C17#57711yescharacteristic
353C4×C17#57811yescharacteristic
354C4×C17#57811yescharacteristic
355Dic17—42no—
356Dic17—42no—
357Dic17—42no—
358Dic17—42no—
359#557—341no—
360#557—341no—
361#556—341no—
362#556—341no—
363#552—341no—
364#552—341no—
365#552—341no—
366#552—341no—
367#541—172no—
368#541—172no—
369#536—172no—
370#533—171no—
371#533—171no—
372#533—171no—
373#533—171no—
374#533—171no—
375C2×C4⋊Q8—171no—
376#519—172no—
377C4×#41C2×D1711yescharacteristic
378#446—21no—
379#446—341no—
380#435—21no—
381#435—21no—
382#435—341no—
383#435—341no—
384C8×D4—21no—
385C8×D4—341no—
386#432—171no—
387#432—171no—
388#432C2×D1711yescharacteristic
389#432C2×D1711yescharacteristic
390#431—171no—
391#431C2×D1711yescharacteristic
392#423—171no—
393#423C2×D1711yescharacteristic
394C2×C4⋊C8—171no—
395C2×C4⋊C8—171no—
396C2×C4⋊C8C2×D1711yescharacteristic
397C2×C4⋊C8C2×D1711yescharacteristic
398#333—171no—
399#333—171no—
400#333—171no—
401#333—171no—
402#333—171no—
403#333—171no—
404#333—171no—
405#333—171no—
406#332—171no—
407#332—171no—
408#332—171no—
409#332—171no—
410#332—171no—
411#332—171no—
412#332—171no—
413#332—171no—
414C2×C17—22no—
415C2×C17—41no—
416C2×C17—41no—
417C2×C17C2×#41311yescharacteristic
418C2×C17#289811yescharacteristic
419C2×C17#289811yescharacteristic
420C2×#41C4×D1711yescharacteristic
421C22×Q8—172no—
422C2×M16—21no—
423C2×M16—341no—
424C22×C8—21no—
425C22×C8—21no—
426C22×C8—341no—
427C22×C8—341no—
428C4⋊Q8—172no—
429C4⋊Q8—171no—
430C4⋊Q8—171no—
431C4⋊Q8—171no—
432C4⋊Q8—171no—
433C4⋊Q8—342no—
434C4⋊Q8—341no—
435C4⋊Q8—341no—
436#126—342no—
437#126—342no—
438#126—342no—
439#126—342no—
440#125—172no—
441#125—342no—
442#125—342no—
443#125—342no—
444#125—342no—
445#125—341no—
446#125—341no—
447#125—341no—
448#125—341no—
449#124—342no—
450#123—342no—
451#123—342no—
452C22⋊Q8—172no—
453C22⋊Q8—172no—
454C22⋊Q8—172no—
455C22⋊Q8—172no—
456C22⋊Q8—341no—
457C22⋊Q8—341no—
458C22⋊Q8—341no—
459C22⋊Q8—341no—
460C22⋊Q8—341no—
461C22⋊Q8—341no—
462C4×Q8—172no—
463C4×Q8—172no—
464C4×Q8—172no—
465C4×Q8—172no—
466C4×Q8—342no—
467C4×Q8—342no—
468C4×Q8—341no—
469C4×Q8—341no—
470C4×Q8—341no—
471C4×Q8—341no—
472C4×Q8—341no—
473C4×Q8—341no—
474C4×Q8D6811yescharacteristic
475C4×Q8C22⋊D1711yescharacteristic
476C4×D4D6811yescharacteristic
477C4×D4D6811yescharacteristic
478C4×D4D6811yescharacteristic
479C4×D4C22⋊D1711yescharacteristic
480C4×D4C22⋊D1711yescharacteristic
481C4×D4C22⋊D1711yescharacteristic
482#117—172no—
483#117—341no—
484#117—341no—
485#117—341no—
486#117—341no—
487#117—342no—
488#117—342no—
489#117C4×D1711yescharacteristic
490#117C4×D1711yescharacteristic
491#117C4×D1711yescharacteristic
492C2×C4⋊C4—341no—
493C2×C4⋊C4—341no—
494C2×C42C22×D1711yescharacteristic
495C2×C42C22×D1711yescharacteristic
496C2×C42C22×D1711yescharacteristic
497C4⋊C8—21no—
498C4⋊C8—21no—
499C4⋊C8—21no—
500C4⋊C8—171no—
501C4⋊C8—171no—
502C4⋊C8—171no—
503C4⋊C8—171no—
504C4⋊C8—341no—
505C4⋊C8—341no—
506C4⋊C8—341no—
507C4⋊C8C22×D1711yescharacteristic
508C4⋊C8C22×D1711yescharacteristic
509C4⋊C8C22×D1711yescharacteristic
510C4⋊C8C22×D1711yescharacteristic
511C22⋊C8—21no—
512C22⋊C8—21no—
513C22⋊C8—21no—
514C22⋊C8—341no—
515C22⋊C8—341no—
516C22⋊C8—341no—
517#97—21no—
518#97—21no—
519#97—341no—
520#97—341no—
521C4×C8—21no—
522C4×C8—341no—
523C17#1778011yescharacteristic, complemented, Sylow
524#41—42no—
525C2×Q8—172no—
526C2×Q8—172no—
527C2×Q8—341no—
528C2×Q8—341no—
529C2×Q8—342no—
530C2×Q8—684no—
531C2×Q8#6322711yescharacteristic
532C2×D4#6322711yescharacteristic
533C2×D4#6322711yescharacteristic
534C2×D4#6322711yescharacteristic
535C22×C4—342no—
536C22×C4C2×C4×D1711yescharacteristic
537C22×C4C2×C4×D1711yescharacteristic
538C22×C4C2×C4×D1711yescharacteristic
539C22×C4C2×D6811yescharacteristic
540C22×C4C2×D6811yescharacteristic
541C22×C4C2×D6811yescharacteristic
542C22×C4C2×C22⋊D1711yescharacteristic
543C22×C4C2×C22⋊D1711yescharacteristic
544C22×C4C2×C22⋊D1711yescharacteristic
545M16—81no—
546M16—1361no—
547C2×C8—21no—
548C2×C8—21no—
549C2×C8—21no—
550C2×C8—21no—
551C2×C8—81no—
552C2×C8—81no—
553C2×C8—341no—
554C2×C8—341no—
555C2×C8—341no—
556C2×C8—341no—
557C2×C8—1361no—
558C2×C8—1361no—
559C4⋊C4—172no—
560C4⋊C4—172no—
561C4⋊C4—341no—
562C4⋊C4—341no—
563C4⋊C4—341no—
564C4⋊C4—341no—
565C4⋊C4—341no—
566C4⋊C4—341no—
567C4⋊C4—342no—
568C4⋊C4—342no—
569C4⋊C4—342no—
570C4⋊C4—342no—
571C4⋊C4—342no—
572C4⋊C4—342no—
573C4⋊C4—342no—
574C4⋊C4—342no—
575C4⋊C4—342no—
576C4⋊C4—342no—
577C4⋊C4—342no—
578C4⋊C4—342no—
579C4⋊C4#6322711yescharacteristic
580C4⋊C4#6322711yescharacteristic
581C4⋊C4#6322711yescharacteristic
582C4⋊C4#6322711yescharacteristic
583C4⋊C4#6322711yescharacteristic
584C4⋊C4#6322711yescharacteristic
585C22⋊C4—342no—
586C22⋊C4—342no—
587C22⋊C4—342no—
588C22⋊C4—342no—
589C22⋊C4—342no—
590C22⋊C4#6322711yescharacteristic
591C22⋊C4#6322711yescharacteristic
592C22⋊C4#6322711yescharacteristic
593C22⋊C4#6322711yescharacteristic
594C22⋊C4#6322711yescharacteristic
595C22⋊C4#6322711yescharacteristic
596C42—342no—
597C42—342no—
598C42—342no—
599C42—342no—
600C42—342no—
601C42C2×C4×D1711yescharacteristic
602C42C2×C4×D1711yescharacteristic
603C42C2×C4×D1711yescharacteristic
604C42C2×D6811yescharacteristic
605C42C2×D6811yescharacteristic
606C42C2×D6811yescharacteristic
607C42C2×C22⋊D1711yescharacteristic
608C42C2×C22⋊D1711yescharacteristic
609C42C2×C22⋊D1711yescharacteristic
610C42C23×D1711yescharacteristic
611C23C2×#6322711yescharacteristic
612C23C2×#6322711yescharacteristic
613C23C2×#6322711yescharacteristic
614Q8—41no—
615Q8—682no—
616Q8—682no—
617Q8—684no—
618Q8—681no—
619Q8—681no—
620Q8—681no—
621Q8—681no—
622D4—22no—
623D4—22no—
624D4—41no—
625C2×C4—22no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—21no—
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—342no—
641C2×C4—342no—
642C2×C4—342no—
643C2×C4—342no—
644C2×C4—684no—
645C2×C4C2×#6322711yescharacteristic
646C2×C4C2×#6322711yescharacteristic
647C2×C4C2×#6322711yescharacteristic
648C2×C4C2×#6322711yescharacteristic
649C2×C4C2×#6322711yescharacteristic
650C2×C4C2×#6322711yescharacteristic
651C2×C4C2×#6322711yescharacteristic
652C2×C4C2×#6322711yescharacteristic
653C2×C4C2×#6322711yescharacteristic
654C2×C4C22×C4×D1711yescharacteristic
655C2×C4C22×D6811yescharacteristic
656C2×C4C22×C22⋊D1711yescharacteristic
657C8—41no—
658C8—41no—
659C8—41no—
660C8—41no—
661C8—681no—
662C8—681no—
663C8—681no—
664C8—681no—
665C22—21no—
666C22—21no—
667C22—21no—
668C22—21no—
669C22—21no—
670C22—21no—
671C22—21no—
672C22—21no—
673C22#1176279112yes—
674C22C22×#6322711yescharacteristic
675C4—21no—
676C4—21no—
677C4—21no—
678C4—21no—
679C4—21no—
680C4—21no—
681C4—21no—
682C4—21no—
683C4—21no—
684C4—21no—
685C4—682no—
686C4—682no—
687C4—682no—
688C4—682no—
689C4#1176362011yescharacteristic
690C4#1176362111yescharacteristic
691C4#1176362411yescharacteristic
692C4#1176362611yescharacteristic
693C2—22no—
694C2—41no—
695C2—41no—
696C2C2×#1176279111yescharacteristic
697C2#1453731411yescharacteristic
698C2#1453731811yescharacteristic
subgroupG/H
centerC22C22×#63227
commutatorC2×C4×C17C23×C4
FrattiniC42C23×D17
FittingC17×#2990C2
socleC22×C17C22×C22⋊C4
prime radicalC2×#41×C17C2×C4
cosocleC42×C17C24
hypercenter#2990D17
hypocenterC17#17780
LCSG ▷ C2×C4×C17 ▷ C22×C17 ▷ C17
UCSC1 ◁ C22 ◁ C4×#41 ◁ #2990

Complements

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

NH ≅ G/Ntype
3. #14527515C2semidirect
4. #14527512C2semidirect
5. #14527509C2semidirect
6. #14527495C2semidirect
7. #14527492C2semidirect
8. #14527485C2semidirect
9. #14527482C2semidirect
10. #14527475C2semidirect
11. #14527472C2semidirect
12. #14527442C2semidirect
13. #14527439C2semidirect
14. C2×#11762557C2semidirect
523. C17#17780semidirect

Maximal subgroups

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

subgroupindex
#145426702
#145379092
#145275152
#145275122
#145275092
#145274952
#145274922
#145274852
#145274822
#145274752
#145274722
#145274422
#145274392
C2×#117625572
C17×#29902
#1778017