Finite Group Databasebeta

← #17942709

Subgroups — #17942709

Order 4352.

7856 conjugacy classes of subgroups.

The subgroup lattice has 1394 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#14542863C212yesmaximal, complemented
2#14542806C216yesmaximal, complemented
3#14542784C212yesmaximal, complemented
4#14542735C216yesmaximal, complemented
5#14542687C213yesmaximal, complemented
6#14542655C213yesmaximal, complemented
7#14542597C211yesmaximal, characteristic, complemented
8#14542558C211yesmaximal, characteristic, complemented
9#14542520C213yesmaximal, complemented
10#14542509C213yesmaximal, complemented
11#14542454C211yesmaximal, characteristic, complemented
12#14542446C211yesmaximal, characteristic, complemented
13#14542410C212yesmaximal, complemented
14#14542388C216yesmaximal, complemented
15#14542382C212yesmaximal, complemented
16D4×#63252C216yesmaximal, complemented
17#14542206C213yesmaximal, complemented
18#14542200C213yesmaximal, complemented
19#14542077C213yesmaximal, complemented
20C2×#11763356C213yesmaximal, complemented
21C4×#10587696C211yesmaximal, characteristic, complemented
22C4×#41×D17C211yesmaximal, characteristic, complemented
23C4×C17×H(5,𝔽2)C211yesmaximal, characteristic, complemented
24C2×#10587696C2211yescharacteristic
25C22×#63252C2216yescomplemented
26C2×#41×D17C2211yescharacteristic
27#11763542C2216yescomplemented
28#11763542C2216yescomplemented
29Q8×Dic34C2212yescomplemented
30#11763535C2212yescomplemented
31#11763527C2216yescomplemented
32#11763524C2216yescomplemented
33#11763522C2216yescomplemented
34#11763522C2216yescomplemented
35#11763518C2216yescomplemented
36#11763514C2216yescomplemented
37#11763509C2216yescomplemented
38#11763509C2216yescomplemented
39#11763508C22112yescomplemented
40#11763507C2216yescomplemented
41#11763503C2216yescomplemented
42#11763488C22112yescomplemented
43#11763485C22112yescomplemented
44#11763481C2212yescomplemented
45#11763480C2216yescomplemented
46#11763480C2216yescomplemented
47#11763478C2212yescomplemented
48#11763478C2212yescomplemented
49#11763478C2212yescomplemented
50D4×Dic34C2216yescomplemented
51#11763471C2212yescomplemented
52#11763468C22112yescomplemented
53#11763466C2212yescomplemented
54#11763464C2216yescomplemented
55#11763460C2216yescomplemented
56#11763460C2216yescomplemented
57#11763455C22112yescomplemented
58#11763454C2216yescomplemented
59#11763453C2216yescomplemented
60#11763449C22112yescomplemented
61#11763449C22112yescomplemented
62#11763449C22112yescomplemented
63D4×D68C2216yescomplemented
64D4×C22⋊D17C2216yescomplemented
65D4×C22⋊D17C2216yescomplemented
66D4×C22⋊D17C2216yescomplemented
67#11763440C2213yescomplemented
68#11763437C2213yescomplemented
69#11763431C2216yescomplemented
70#11763430C2216yescomplemented
71#11763424C2216yescomplemented
72#11763424C2216yescomplemented
73#11763414C2216yescomplemented
74#11763410C2216yescomplemented
75#11763410C2216yescomplemented
76#11763410C2216yescomplemented
77#11763397C22112yescomplemented
78#11763392C22112yescomplemented
79#11763390C2213yescomplemented
80#11763387C2213yescomplemented
81#11763378C2213yescomplemented
82#11763376C2213yescomplemented
83#11763376C2213yescomplemented
84#11763373C2213yescomplemented
85#11763363C2213yescomplemented
86#11763363C2211yescharacteristic, complemented
87#11763362C2213yescomplemented
88#11763359C2216yescomplemented
89#11763356C2216yescomplemented
90#11763356C2216yescomplemented
91#11763356C2216yescomplemented
92#11763356C2213yescomplemented
93#11763356C2216yescomplemented
94#11763356C2216yescomplemented
95#11763356C2216yescomplemented
96#11763356C2216yescomplemented
97#11763356C2216yescomplemented
98#11763356C2213yescomplemented
99#11763355C2213yescomplemented
100C2×#10587574C2213yescomplemented
101C2×#10587626C2213yescomplemented
102#11763346C2213yescomplemented
103#11763346C2213yescomplemented
104#11763343C2216yescomplemented
105#11763341C2216yescomplemented
106#11763341C2213yescomplemented
107#11763341C2213yescomplemented
108#11763339C2216yescomplemented
109#11763339C2216yescomplemented
110#11763337C2216yescomplemented
111#11763337C2216yescomplemented
112C2×#10587571C2216yescomplemented
113#11763321C2213yescomplemented
114#11763320C22112yescomplemented
115#11763318C22112yescomplemented
116#11763318C2216yescomplemented
117#11763318C2216yescomplemented
118#11763316C2213yescomplemented
119C2×#10587581C2213yescomplemented
120C2×#10587570C2216yescomplemented
121C2×#10587624C2213yescomplemented
122#11763292C2211yescharacteristic
123#11763291C2212yescomplemented
124#11763289C2213yescomplemented
125#11763283C2213yescomplemented
126#11763281C2216yescomplemented
127#41×Dic17C2211yescharacteristic
128C4×#63256C2212yescomplemented
129C4×#63256C2211yescharacteristic, complemented
130C4×#63256C2211yescharacteristic, complemented
131C4×#63252C2216yescomplemented
132C4×#63252C2216yescomplemented
133C4×#63252C2213yescomplemented
134C4×#63252C2213yescomplemented
135#11763277C2213yescomplemented
136C4×#63254C2213yescomplemented
137C4×#63254C2213yescomplemented
138C4×Q8×D17C2211yescharacteristic, complemented
139C4×Q8×D17C2211yescharacteristic, complemented
140C2×C4×D68C2213yescomplemented
141C2×C4×C22⋊D17C2216yescomplemented
142C4×D4×D17C2216yescomplemented
143C4×D4×D17C2213yescomplemented
144C4×D4×D17C2213yescomplemented
145#117×D17C2213yescomplemented
146C2×C42×D17C2213yescomplemented
147C2×C17×H(5,𝔽2)C2211yescharacteristic
148C17×#520C2211yescharacteristic
149C17×#520C2212yescomplemented
150C17×#520C2213yescomplemented
151C17×#518C2213yescomplemented
152C17×#518C2216yescomplemented
153C4×#41×C17C2211yescharacteristic
154C4×#41×C17C2212yescomplemented
155C4×#41×C17C2213yescomplemented
156C2×C4×D4×C17C2216yescomplemented
157C2×C4×D4×C17C2213yescomplemented
158C17×H(5,𝔽2)—28no—
159C2×#41×C17C2312yes—
160C2×#41×C17C2313yes—
161C2×#41×C17C2311yescharacteristic
162C22×D4×C17C2313yes—
163C22×D4×C17C2316yes—
164C23×C4×C17C2316yes—
165C22×C22⋊D17C2316yes—
166C22×C22⋊D17C2316yes—
167C22×C22⋊D17C2316yes—
168#10587696—28no—
169#41×D17—28no—
170C2×#63256C2312yes—
171C2×#63256C2311yescharacteristic
172C2×Q8×D17C2311yescharacteristic
173C2×#63254C2313yes—
174C2×D4×D17C2313yes—
175C2×D4×D17C2316yes—
176C2×#63252—424no—
177C2×#63252C2313yes—
178C2×#63252C2313yes—
179C2×#63252C2316yes—
180C2×#63252C23112yes—
181C2×#63252C23112yes—
182C2×#63252C2316yes—
183C2×#63252C23112yes—
184C22×D68C2313yes—
185C22×D68C2316yes—
186C22×C4×D17C2313yes—
187C22×C4×D17C2313yes—
188C22×C4×D17C2313yes—
189C22×C4×D17C2316yes—
190C22×Dic34C2316yes—
191C4×Q8×C17C2312yes—
192C4×Q8×C17C2311yescharacteristic
193C4×Q8×C17C2311yescharacteristic
194C4×Q8×C17C2311yescharacteristic
195C4×Q8×C17C2313yes—
196C4×D4×C17C2316yes—
197C4×D4×C17C23112yes—
198C4×D4×C17C2316yes—
199C4×D4×C17C2313yes—
200C4×D4×C17C2316yes—
201C4×D4×C17C2316yes—
202C4×D4×C17C2313yes—
203C4×D4×C17C2316yes—
204C4×D4×C17C2316yes—
205C4×D4×C17C2316yes—
206C4×D4×C17C2313yes—
207C4×D4×C17C2316yes—
208C4×D4×C17C2313yes—
209C17×#117C2313yes—
210C17×#117C2313yes—
211C17×#117C2316yes—
212C17×#117C2316yes—
213C2×C4⋊C4×C17C2316yes—
214C2×C4⋊C4×C17C2313yes—
215C2×C22⋊C4×C17C23112yes—
216C2×C22⋊C4×C17C2316yes—
217C2×C42×C17C2313yes—
218C2×C42×C17C2316yes—
219#10587639C23112yes—
220#10587639C23112yes—
221C2×C22⋊Dic17C2316yes—
222#10587633C2313yes—
223#10587632C2311yescharacteristic
224#10587632C2313yes—
225Q8×Dic17C2312yes—
226Q8×Dic17C2311yescharacteristic
227Q8×Dic17C2311yescharacteristic
228#10587630C2311yescharacteristic
229#10587626C2316yes—
230#10587626C2316yes—
231#10587626C2316yes—
232#10587626C2313yes—
233#10587626C2316yes—
234#10587625C2316yes—
235#10587625C23112yes—
236#10587625C2316yes—
237#10587624C2316yes—
238#10587624C2316yes—
239#10587624C2316yes—
240#10587624C2316yes—
241#10587624C2313yes—
242#10587624C2316yes—
243#10587624C2313yes—
244#10587623C23112yes—
245#10587623C2316yes—
246#10587622C2316yes—
247#10587622C2313yes—
248#10587621C2316yes—
249D4×Dic17C2313yes—
250D4×Dic17C2316yes—
251D4×Dic17C2313yes—
252#10587616C2316yes—
253#10587616C2316yes—
254#10587616C23112yes—
255#10587616C2316yes—
256#10587616C23112yes—
257#10587616C23112yes—
258#10587615C23112yes—
259#10587615C23112yes—
260#10587615C23112yes—
261C4×C22⋊D17C2316yes—
262C4×C22⋊D17C2316yes—
263C4×C22⋊D17C2316yes—
264C4×C22⋊D17C2316yes—
265C4×C22⋊D17C23112yes—
266C4×C22⋊D17C23112yes—
267C4×C22⋊D17C2316yes—
268C4×C22⋊D17C2316yes—
269C4×C22⋊D17C2316yes—
270C4×C22⋊D17C2316yes—
271C4×C22⋊D17C2316yes—
272C4×C22⋊D17C23112yes—
273C4×C22⋊D17C2316yes—
274C4×C22⋊D17C2316yes—
275C4×C22⋊D17C2316yes—
276C2×#63227C2316yes—
277C2×#63227C2316yes—
278#10587612C2316yes—
279#10587612C2313yes—
280#10587612C2313yes—
281#10587612C2316yes—
282C2×C4⋊Dic17C2313yes—
283#10587610C23112yes—
284#10587610C2316yes—
285#10587610C23112yes—
286C2×#63225C2316yes—
287C2×C4×Dic17C2313yes—
288C2×C4×Dic17C2313yes—
289C2×C4×Dic17C2313yes—
290#10587584C2316yes—
291#10587584C2316yes—
292#10587583C2316yes—
293#10587583C2311yescharacteristic
294#10587583C2313yes—
295#10587582C2316yes—
296#10587582C23112yes—
297#10587582C2312yes—
298#10587581C2316yes—
299#10587581C2316yes—
300#10587581C2316yes—
301#10587581C2313yes—
302#10587581C2316yes—
303#10587581C2313yes—
304#10587580C2316yes—
305#10587580C23112yes—
306#10587580C2316yes—
307#10587579C2313yes—
308#10587579C2316yes—
309#10587579C2313yes—
310#10587579C2316yes—
311#10587578C2313yes—
312#10587578C2316yes—
313#10587578C2313yes—
314C4⋊C4×D17C2313yes—
315C4⋊C4×D17C2316yes—
316C4⋊C4×D17C2313yes—
317#10587576C2316yes—
318#10587576C2313yes—
319#10587576C2313yes—
320#10587575C2316yes—
321#10587575C2312yes—
322#10587574C2316yes—
323#10587574C2316yes—
324#10587574C2316yes—
325#10587574C2313yes—
326#10587574C2316yes—
327#10587574C2311yescharacteristic
328#10587573C2313yes—
329#10587573C2313yes—
330#10587572C2316yes—
331#10587571C23112yes—
332#10587571C23112yes—
333#10587571C23112yes—
334#10587571C2316yes—
335#10587571C2316yes—
336#10587571C23112yes—
337#10587570C2316yes—
338#10587570C23112yes—
339#10587570C23112yes—
340#10587570C23112yes—
341#10587570C23112yes—
342#10587570C2316yes—
343#10587570C23112yes—
344#10587569C2316yes—
345#10587569C23112yes—
346#10587569C23112yes—
347#10587569C2316yes—
348#10587568C2316yes—
349#10587568C23112yes—
350#10587567C2316yes—
351#10587567C23112yes—
352#10587567C2316yes—
353C22⋊C4×D17C23112yes—
354C22⋊C4×D17C2316yes—
355#10587565C2316yes—
356#10587565C23112yes—
357#10587565C2316yes—
358#10587564C2316yes—
359#10587564C23112yes—
360#10587564C2316yes—
361#10587563C2316yes—
362#10587562C23112yes—
363#10587561C23112yes—
364#10587561C2316yes—
365#10587560C2316yes—
366C4×D68C2316yes—
367C4×D68C2316yes—
368C4×D68C2316yes—
369C4×D68C2316yes—
370C4×D68C2313yes—
371C4×D68C2313yes—
372C4×D68C2313yes—
373C4×D68C2316yes—
374C4×D68C2316yes—
375C4×D68C2313yes—
376C4×D68C2316yes—
377#10587558C2316yes—
378#10587558C2316yes—
379#10587558C2316yes—
380#10587558C2312yes—
381#10587558C2316yes—
382#10587558C2316yes—
383C42×D17C2311yescharacteristic
384C42×D17C2313yes—
385C42×D17C2313yes—
386C42×D17C2313yes—
387C42×D17C2313yes—
388C42×D17C2313yes—
389C42×D17C2313yes—
390C42×D17C2313yes—
391C42×D17C2316yes—
392#10587556C2316yes—
393#10587555C2316yes—
394C4×Dic34C2316yes—
395C4×Dic34C2316yes—
396C4×Dic34C2316yes—
397C4×Dic34C2313yes—
398C4×Dic34C2313yes—
399C4×Dic34C2312yes—
400C4×Dic34C2311yescharacteristic
401C4×Dic34C2313yes—
402C24×C17C2416yes—
403C23×D17C2413yes—
404C23×D17C2416yes—
405#41×C17—28no—
406#41×C17—212no—
407#41×C17#4118yescomplemented
408C2×Q8×C17C2411yescharacteristic
409C2×Q8×C17C2411yescharacteristic
410C2×D4×C17—224no—
411C2×D4×C17—212no—
412C2×D4×C17C2416yes—
413C2×D4×C17C2413yes—
414C2×D4×C17C2416yes—
415C2×D4×C17C2413yes—
416C22×C4×C17—412no—
417C22×C4×C17C2413yes—
418C22×C4×C17C2416yes—
419C22×C4×C17C2416yes—
420C22×C4×C17C2416yes—
421C22×C4×C17C2413yes—
422C22×C4×C17C24112yes—
423C22×C4×C17C2416yes—
424C22×C4×C17C2413yes—
425C2×C22⋊D17—412no—
426C2×C22⋊D17—412no—
427C2×C22⋊D17—412no—
428C2×C22⋊D17C2416yes—
429C2×C22⋊D17C2416yes—
430C2×C22⋊D17C2416yes—
431C2×C22⋊D17C2416yes—
432C2×C22⋊D17C2416yes—
433C2×C22⋊D17C24112yes—
434C2×C22⋊D17C24112yes—
435C2×C22⋊D17C2416yes—
436C2×C22⋊D17C24112yes—
437C22×Dic17C2413yes—
438C22×Dic17C2413yes—
439C22×Dic17C2413yes—
440C22×Dic17C2416yes—
441#63256—24no—
442#63256—28no—
443Q8×D17—24no—
444#63254—212no—
445D4×D17—212no—
446D4×D17—224no—
447#63252—212no—
448#63252—212no—
449#63252—224no—
450#63252—424no—
451#63252—412no—
452#63252—424no—
453#63252—424no—
454C2×D68—212no—
455C2×D68—412no—
456C2×D68C2416yes—
457C2×D68C2413yes—
458C2×D68C2416yes—
459C2×D68C2413yes—
460C2×D68C24112yes—
461C2×D68C2416yes—
462C2×C4×D17—212no—
463C2×C4×D17—212no—
464C2×C4×D17—46no—
465C2×C4×D17—412no—
466C2×C4×D17C2411yescharacteristic
467C2×C4×D17C2411yescharacteristic
468C2×C4×D17C2416yes—
469C2×C4×D17C2413yes—
470C2×C4×D17C2413yes—
471C2×C4×D17C2413yes—
472C2×C4×D17C2413yes—
473C2×C4×D17C2413yes—
474C2×C4×D17C2413yes—
475C2×C4×D17C2413yes—
476C2×C4×D17C2416yes—
477C2×C4×D17C24112yes—
478C2×C4×D17C2413yes—
479C2×C4×D17C2413yes—
480C2×C4×D17C2416yes—
481C2×C4×D17C2411yescharacteristic
482C2×Dic34—412no—
483C2×Dic34C2416yes—
484C2×Dic34C2412yes—
485C2×Dic34C2411yescharacteristic
486C2×Dic34C2413yes—
487C2×Dic34C24112yes—
488C4⋊C4×C17C2413yes—
489C4⋊C4×C17C2413yes—
490C4⋊C4×C17C2416yes—
491C4⋊C4×C17C2413yes—
492C4⋊C4×C17C2411yescharacteristic
493C4⋊C4×C17C2416yes—
494C4⋊C4×C17C2412yes—
495C22⋊C4×C17C2416yes—
496C22⋊C4×C17C2416yes—
497C22⋊C4×C17C2416yes—
498C22⋊C4×C17C24112yes—
499C22⋊C4×C17C2416yes—
500C42×C17C2416yes—
501C42×C17C2413yes—
502C42×C17C2411yescharacteristic
503C42×C17C2413yes—
504C42×C17C2413yes—
505C42×C17C2412yes—
506C42×C17C2416yes—
507C22⋊Dic17C2416yes—
508C22⋊Dic17C2416yes—
509C22⋊Dic17C2416yes—
510C22⋊Dic17C2416yes—
511C22⋊Dic17C2416yes—
512C22⋊Dic17C24112yes—
513C22⋊Dic17C2416yes—
514#63227C2412yes—
515#63227C2416yes—
516#63227C2412yes—
517#63227C2416yes—
518#63227C2416yes—
519#63227C2416yes—
520#63227C2416yes—
521#63227C2416yes—
522#63227C2416yes—
523#63227C2416yes—
524#63227C2416yes—
525#63227C2416yes—
526#63227C24112yes—
527#63227C24112yes—
528C4⋊Dic17C2416yes—
529C4⋊Dic17C2413yes—
530C4⋊Dic17C2413yes—
531C4⋊Dic17C2412yes—
532C4⋊Dic17C2413yes—
533C4⋊Dic17C2411yescharacteristic
534C4⋊Dic17C2416yes—
535C4⋊Dic17C2416yes—
536C4⋊Dic17C2416yes—
537#63225C2412yes—
538#63225C2412yes—
539#63225C2416yes—
540#63225C2412yes—
541#63225C2412yes—
542#63225C2412yes—
543#63225C2416yes—
544#63225C2416yes—
545#63225C2416yes—
546#63225C2416yes—
547#63225C2416yes—
548#63225C2416yes—
549#63225C24112yes—
550C4×Dic17C2411yescharacteristic
551C4×Dic17C2412yes—
552C4×Dic17C2413yes—
553C4×Dic17C2413yes—
554C4×Dic17C2413yes—
555C4×Dic17C2413yes—
556C4×Dic17C2413yes—
557C4×Dic17C2416yes—
558C4×Dic17C2416yes—
559C4×Dic17C2411yescharacteristic
560C4×Dic17C2411yescharacteristic
561C4×Dic17C2413yes—
562C4×Dic17C2413yes—
563C4×Dic17C2413yes—
564C4×Dic17C2413yes—
565#62800—171nomaximal, Sylow
566C23×C17—212no—
567C23×C17—46no—
568C23×C17—46no—
569C23×C17C2516yes—
570C23×C17C2513yes—
571C22×D17—26no—
572C22×D17—212no—
573C22×D17—26no—
574C22×D17—43no—
575C22×D17—46no—
576C22×D17—46no—
577C22×D17C2513yes—
578C22×D17C2516yes—
579C22×D17C2511yescharacteristic
580Q8×C17—22no—
581Q8×C17C2×#4114yescomplemented
582D4×C17—212no—
583D4×C17—212no—
584D4×C17—26no—
585D4×C17C2×#41112yescomplemented
586C2×C4×C17—212no—
587C2×C4×C17—26no—
588C2×C4×C17—212no—
589C2×C4×C17—46no—
590C2×C4×C17—43no—
591C2×C4×C17—412no—
592C2×C4×C17—46no—
593C2×C4×C17C2×#41112yescomplemented
594C2×C4×C17C2512yes—
595C2×C4×C17C2511yescharacteristic
596C2×C4×C17C2513yes—
597C2×C4×C17C2512yes—
598C2×C4×C17C2516yes—
599C2×C4×C17C2513yes—
600C2×C4×C17C2513yes—
601C2×C4×C17C2511yescharacteristic
602C2×C4×C17C2511yescharacteristic
603C22⋊D17—212no—
604C22⋊D17—212no—
605C22⋊D17—212no—
606C22⋊D17—212no—
607C22⋊D17—212no—
608C22⋊D17—412no—
609C22⋊D17—412no—
610C22⋊D17—46no—
611C22⋊D17—412no—
612C2×Dic17—26no—
613C2×Dic17—26no—
614C2×Dic17—26no—
615C2×Dic17—46no—
616C2×Dic17C2513yes—
617C2×Dic17C2512yes—
618C2×Dic17C2512yes—
619C2×Dic17C2511yescharacteristic
620C2×Dic17C2513yes—
621C2×Dic17C2516yes—
622C2×Dic17C2513yes—
623C2×Dic17C2511yescharacteristic
624C2×Dic17C2511yescharacteristic
625D68—212no—
626D68—26no—
627D68—212no—
628D68—26no—
629D68—412no—
630D68—46no—
631C4×D17—26no—
632C4×D17—22no—
633C4×D17—26no—
634C4×D17—26no—
635C4×D17—26no—
636C4×D17—212no—
637C4×D17—26no—
638C4×D17—212no—
639C4×D17—26no—
640C4×D17—22no—
641C4×D17—26no—
642C4×D17—43no—
643C4×D17—43no—
644C4×D17—412no—
645C4×D17—46no—
646C4×D17H(5,𝔽2)14yescomplemented
647Dic34—22no—
648Dic34—26no—
649Dic34—212no—
650Dic34—24no—
651Dic34—412no—
652#3522—172no—
653#3519—176no—
654#3517—172no—
655#3514—176no—
656#3511—173no—
657#3508—173no—
658#3503—171no—
659#3498—171no—
660#3494—173no—
661#3494—173no—
662#3488—171no—
663#3488—171no—
664#3483—172no—
665#3481—176no—
666#3480—172no—
667D4×#41—176no—
668#3460—173no—
669#3460—173no—
670#3444—173no—
671C2×#532—173no—
672C4×H(5,𝔽2)—171no—
673C4×H(5,𝔽2)D1711yescharacteristic, complemented
674C2×C4×#41—171no—
675C22×C17—23no—
676C22×C17—23no—
677C22×C17—26no—
678C22×C17—26no—
679C22×C17—26no—
680C22×C17—812no—
681C22×C17C22×#4116yes—
682C22×C17C2611yescharacteristic
683C2×D17—21no—
684C2×D17—21no—
685C2×D17—23no—
686C2×D17—26no—
687C2×D17—23no—
688C2×D17—26no—
689C2×D17—23no—
690C2×D17—26no—
691C2×D17—412no—
692C2×D17—812no—
693C2×D17C2×H(5,𝔽2)12yes—
694C4×C17—22no—
695C4×C17—26no—
696C4×C17—23no—
697C4×C17—22no—
698C4×C17—21no—
699C4×C17—23no—
700C4×C17C22×#4116yes—
701C4×C17C22×#4112yes—
702C4×C17C2×H(5,𝔽2)12yes—
703Dic17—23no—
704Dic17—22no—
705Dic17—21no—
706Dic17—26no—
707Dic17—23no—
708Dic17—22no—
709Dic17—23no—
710Dic17C2×H(5,𝔽2)12yes—
711Dic17#58512yes—
712C2×H(5,𝔽2)—171no—
713C2×H(5,𝔽2)C2×D1711yescharacteristic
714C22×#41—171no—
715C22×#41—176no—
716#559—176no—
717#559—176no—
718Q82—172no—
719#557—172no—
720#556—176no—
721#555—176no—
722#555—176no—
723#555—176no—
724#554—176no—
725#554—176no—
726#553—1712no—
727#553—176no—
728#553—176no—
729#553—176no—
730#553—176no—
731#551—1712no—
732#551—1712no—
733#550—172no—
734#550—172no—
735#550—172no—
736#550—172no—
737#550—176no—
738#550—176no—
739D4×Q8—176no—
740#548—172no—
741#548—172no—
742#548—1712no—
743#547—176no—
744#547—176no—
745#547—176no—
746#546—176no—
747#546—1712no—
748#546—176no—
749#546—1712no—
750#546—1712no—
751#546—1712no—
752D42—176no—
753D42—176no—
754D42—176no—
755D42—176no—
756#544—173no—
757#544—173no—
758#542—176no—
759#542—176no—
760#542—176no—
761#542—176no—
762#540—176no—
763#540—176no—
764#540—176no—
765#540—176no—
766#538—1712no—
767#538—1712no—
768#537—173no—
769#537—173no—
770#535—173no—
771#535—173no—
772#535—173no—
773#535—173no—
774#533—171no—
775#533—173no—
776#533—173no—
777#532—173no—
778#532—173no—
779#532—176no—
780#532—176no—
781#532—176no—
782#532—176no—
783#532—176no—
784#532—176no—
785#532—176no—
786#532—173no—
787#532—176no—
788#532—176no—
789C2×C4⋊Q8—173no—
790C2×#127—173no—
791#529—173no—
792#529—173no—
793#529—173no—
794#529—176no—
795#529—176no—
796#529—173no—
797#529—176no—
798#529—176no—
799#529—176no—
800#529—176no—
801C2×#124—176no—
802#525—173no—
803#525—1712no—
804#525—176no—
805#525—176no—
806#525—1712no—
807#525—173no—
808C2×#121—173no—
809C2×#121—173no—
810C2×#121—176no—
811#520—171no—
812#520—172no—
813#520—173no—
814#520C2×D1711yescharacteristic
815#520C2×D1713yescomplemented
816#520C2×D1712yescomplemented
817#518—176no—
818#518—173no—
819#518C2×D1713yescomplemented
820#518C2×D1716yescomplemented
821C4×#41—171no—
822C4×#41—171no—
823C4×#41—171no—
824C4×#41—172no—
825C4×#41—173no—
826C4×#41—173no—
827C4×#41—173no—
828C4×#41—173no—
829C4×#41—173no—
830C4×#41—176no—
831C4×#41—176no—
832C4×#41C2×D1711yescharacteristic
833C4×#41C2×D1713yescomplemented
834C4×#41C2×D1712yescomplemented
835C2×C4×Q8—171no—
836C2×C4×Q8—171no—
837C2×C4×D4—176no—
838C2×C4×D4—173no—
839C2×C4×D4—173no—
840C2×C4×D4—176no—
841C2×C4×D4—173no—
842C2×C4×D4C2×D1713yescomplemented
843C2×C4×D4C2×D1716yescomplemented
844C2×#117—173no—
845C22×C42—173no—
846C2×C17—26no—
847C2×C17—46no—
848C2×C17C23×#4111yescharacteristic
849C2×C17C22×H(5,𝔽2)11yescharacteristic
850C2×C17C2×#58511yescharacteristic
851D17—22no—
852D17—43no—
853D17—46no—
854H(5,𝔽2)—28no—
855H(5,𝔽2)—348no—
856C2×#41—171no—
857C2×#41—172no—
858C2×#41—173no—
859C2×#41—173no—
860C2×#41—173no—
861C2×#41—176no—
862C2×#41—176no—
863C2×#41—1712no—
864C2×#41—1712no—
865C2×#41—1712no—
866C2×#41—348no—
867C2×#41—6824no—
868C2×#41C22×D1713yes—
869C2×#41C22×D1712yes—
870C2×#41C22×D1711yescharacteristic
871C22×Q8—171no—
872C22×Q8—176no—
873C22×D4—176no—
874C22×D4—176no—
875C22×D4—176no—
876C22×D4—173no—
877C22×D4—176no—
878C22×D4—173no—
879C22×D4—176no—
880C22×D4C22×D1713yes—
881C22×D4C22×D1716yes—
882C23×C4—173no—
883C23×C4—173no—
884C23×C4—176no—
885C23×C4—173no—
886C23×C4C22×D1716yes—
887C4⋊Q8—171no—
888C4⋊Q8—173no—
889C4⋊Q8—176no—
890C4⋊Q8—176no—
891C4⋊Q8—176no—
892C4⋊Q8—171no—
893C4⋊Q8—176no—
894C4⋊Q8—176no—
895#127—173no—
896#127—176no—
897#127—176no—
898#127—176no—
899#127—176no—
900#127—176no—
901#126—176no—
902#126—176no—
903#126—176no—
904#126—176no—
905#126—1712no—
906#126—1712no—
907#125—172no—
908#125—173no—
909#125—173no—
910#125—176no—
911#125—176no—
912#125—176no—
913#124—173no—
914#124—173no—
915#124—176no—
916#124—176no—
917#124—1712no—
918#124—1712no—
919#124—1712no—
920#124—176no—
921#124—1712no—
922#124—176no—
923#124—1712no—
924#123—176no—
925#123—1712no—
926#123—1712no—
927#123—1712no—
928#123—176no—
929#123—176no—
930#123—1712no—
931#123—176no—
932#123—176no—
933#123—176no—
934#123—1712no—
935#123—1712no—
936C22⋊Q8—171no—
937C22⋊Q8—173no—
938C22⋊Q8—1712no—
939C22⋊Q8—1712no—
940C22⋊Q8—176no—
941C22⋊Q8—172no—
942C22⋊Q8—171no—
943C22⋊Q8—173no—
944C22⋊Q8—176no—
945C22⋊Q8—1712no—
946C22⋊Q8—176no—
947C22⋊Q8—176no—
948C22⋊Q8—176no—
949C22⋊Q8—1712no—
950#121—173no—
951#121—176no—
952#121—176no—
953#121—176no—
954#121—173no—
955#121—176no—
956#121—176no—
957#121—1712no—
958#121—176no—
959#121—176no—
960#121—1712no—
961#121—1712no—
962#121—176no—
963#121—176no—
964#121—176no—
965#121—1712no—
966#121—173no—
967#121—176no—
968#121—176no—
969#121—176no—
970#121—173no—
971#121—176no—
972#121—176no—
973#121—1712no—
974#121—1712no—
975#121—1712no—
976#121—176no—
977#121—1712no—
978#121—1712no—
979#120—1712no—
980#120—1712no—
981#120—176no—
982#120—1712no—
983#120—176no—
984#120—1712no—
985C4×Q8—171no—
986C4×Q8—171no—
987C4×Q8—172no—
988C4×Q8—173no—
989C4×Q8—173no—
990C4×Q8—173no—
991C4×Q8—173no—
992C4×Q8—172no—
993C4×Q8—171no—
994C4×Q8—173no—
995C4×Q8—176no—
996C4×Q8—176no—
997C4×Q8—176no—
998C4×Q8C22×D1711yescharacteristic
999C4×Q8C22×D1711yescharacteristic
1000C4×Q8C22×D1711yescharacteristic
1001C4×Q8C22×D1712yes—
1002C4×Q8C22×D1713yes—
1003C4×D4—173no—
1004C4×D4—173no—
1005C4×D4—176no—
1006C4×D4—176no—
1007C4×D4—176no—
1008C4×D4—176no—
1009C4×D4—176no—
1010C4×D4—1712no—
1011C4×D4—1712no—
1012C4×D4—1712no—
1013C4×D4—176no—
1014C4×D4—176no—
1015C4×D4—176no—
1016C4×D4—176no—
1017C4×D4—176no—
1018C4×D4—176no—
1019C4×D4—176no—
1020C4×D4—176no—
1021C4×D4—173no—
1022C4×D4—173no—
1023C4×D4—176no—
1024C4×D4—176no—
1025C4×D4—176no—
1026C4×D4—176no—
1027C4×D4—1712no—
1028C4×D4—176no—
1029C4×D4—173no—
1030C4×D4—173no—
1031C4×D4—173no—
1032C4×D4—176no—
1033C4×D4—176no—
1034C4×D4—173no—
1035C4×D4—176no—
1036C4×D4—176no—
1037C4×D4—176no—
1038C4×D4—176no—
1039C4×D4C22×D1713yes—
1040C4×D4C22×D1713yes—
1041C4×D4C22×D1716yes—
1042C4×D4C22×D1713yes—
1043C4×D4C22×D1716yes—
1044C4×D4C22×D1716yes—
1045C4×D4C22×D1716yes—
1046C4×D4C22×D1716yes—
1047C4×D4C22×D17112yes—
1048C4×D4C22×D1716yes—
1049C4×D4C22×D1716yes—
1050C4×D4C22×D1713yes—
1051C4×D4C22×D1716yes—
1052#117—173no—
1053#117—173no—
1054#117—176no—
1055#117—176no—
1056#117—173no—
1057#117—173no—
1058#117—176no—
1059#117—176no—
1060#117—176no—
1061#117—172no—
1062#117—176no—
1063#117—176no—
1064#117—176no—
1065#117—176no—
1066#117C22×D1713yes—
1067#117C22×D1713yes—
1068#117C22×D1716yes—
1069#117C22×D1716yes—
1070C2×C4⋊C4—173no—
1071C2×C4⋊C4—176no—
1072C2×C4⋊C4—173no—
1073C2×C4⋊C4—173no—
1074C2×C4⋊C4—176no—
1075C2×C4⋊C4C22×D1713yes—
1076C2×C4⋊C4C22×D1716yes—
1077C2×C22⋊C4—176no—
1078C2×C22⋊C4—176no—
1079C2×C22⋊C4—176no—
1080C2×C22⋊C4—176no—
1081C2×C22⋊C4—1712no—
1082C2×C22⋊C4C22×D1716yes—
1083C2×C22⋊C4C22×D17112yes—
1084C2×C42—173no—
1085C2×C42—173no—
1086C2×C42—173no—
1087C2×C42—173no—
1088C2×C42—173no—
1089C2×C42—173no—
1090C2×C42—176no—
1091C2×C42—173no—
1092C2×C42—173no—
1093C2×C42—173no—
1094C2×C42—173no—
1095C2×C42—171no—
1096C2×C42C22×D1713yes—
1097C2×C42C22×D1716yes—
1098C17#6280011yescharacteristic, complemented, Sylow
1099C24—173no—
1100C24—176no—
1101C24C23×D1716yes—
1102#41—28no—
1103#41—212no—
1104#41—3424no—
1105#41—344no—
1106#41—348no—
1107#41—3412no—
1108#41—3412no—
1109#41—3412no—
1110#41—6824no—
1111#41—6824no—
1112#41—6812no—
1113#41—6824no—
1114#41#6325218yescomplemented
1115C2×Q8—173no—
1116C2×Q8—172no—
1117C2×Q8—171no—
1118C2×Q8—176no—
1119C2×Q8—1712no—
1120C2×Q8—344no—
1121C2×Q8—6812no—
1122C2×Q8C23×D1711yescharacteristic
1123C2×Q8C23×D1711yescharacteristic
1124C2×D4—224no—
1125C2×D4—212no—
1126C2×D4—176no—
1127C2×D4—176no—
1128C2×D4—176no—
1129C2×D4—176no—
1130C2×D4—176no—
1131C2×D4—176no—
1132C2×D4—1712no—
1133C2×D4—1712no—
1134C2×D4—1712no—
1135C2×D4—173no—
1136C2×D4—176no—
1137C2×D4—173no—
1138C2×D4—176no—
1139C2×D4—176no—
1140C2×D4—1712no—
1141C2×D4—3412no—
1142C2×D4—3424no—
1143C2×D4—3412no—
1144C2×D4—6812no—
1145C2×D4—6812no—
1146C2×D4—6812no—
1147C2×D4—6812no—
1148C2×D4C23×D1716yes—
1149C2×D4C23×D1713yes—
1150C2×D4C23×D1716yes—
1151C2×D4C23×D1713yes—
1152C22×C4—412no—
1153C22×C4—171no—
1154C22×C4—173no—
1155C22×C4—173no—
1156C22×C4—173no—
1157C22×C4—176no—
1158C22×C4—171no—
1159C22×C4—171no—
1160C22×C4—173no—
1161C22×C4—173no—
1162C22×C4—173no—
1163C22×C4—173no—
1164C22×C4—173no—
1165C22×C4—173no—
1166C22×C4—176no—
1167C22×C4—173no—
1168C22×C4—176no—
1169C22×C4—173no—
1170C22×C4—173no—
1171C22×C4—176no—
1172C22×C4—1712no—
1173C22×C4—3412no—
1174C22×C4—3412no—
1175C22×C4—6812no—
1176C22×C4—686no—
1177C22×C4C23×D1716yes—
1178C22×C4C23×D1713yes—
1179C22×C4C23×D1716yes—
1180C22×C4C23×D1713yes—
1181C22×C4C23×D1716yes—
1182C22×C4C23×D1716yes—
1183C22×C4C23×D17112yes—
1184C22×C4C23×D1713yes—
1185C4⋊C4—176no—
1186C4⋊C4—173no—
1187C4⋊C4—176no—
1188C4⋊C4—176no—
1189C4⋊C4—173no—
1190C4⋊C4—173no—
1191C4⋊C4—176no—
1192C4⋊C4—176no—
1193C4⋊C4—1712no—
1194C4⋊C4—172no—
1195C4⋊C4—171no—
1196C4⋊C4—172no—
1197C4⋊C4—172no—
1198C4⋊C4—172no—
1199C4⋊C4—172no—
1200C4⋊C4—172no—
1201C4⋊C4—176no—
1202C4⋊C4—176no—
1203C4⋊C4—176no—
1204C4⋊C4—176no—
1205C4⋊C4—176no—
1206C4⋊C4—176no—
1207C4⋊C4C23×D1713yes—
1208C4⋊C4C23×D1713yes—
1209C4⋊C4C23×D1713yes—
1210C4⋊C4C23×D1716yes—
1211C4⋊C4C23×D1716yes—
1212C4⋊C4C23×D1711yescharacteristic
1213C4⋊C4C23×D1712yes—
1214C22⋊C4—176no—
1215C22⋊C4—176no—
1216C22⋊C4—176no—
1217C22⋊C4—1712no—
1218C22⋊C4—176no—
1219C22⋊C4—176no—
1220C22⋊C4—176no—
1221C22⋊C4—176no—
1222C22⋊C4—176no—
1223C22⋊C4—176no—
1224C22⋊C4—1712no—
1225C22⋊C4—176no—
1226C22⋊C4—176no—
1227C22⋊C4—1712no—
1228C22⋊C4—172no—
1229C22⋊C4—172no—
1230C22⋊C4—176no—
1231C22⋊C4—176no—
1232C22⋊C4—176no—
1233C22⋊C4—176no—
1234C22⋊C4—176no—
1235C22⋊C4C23×D1716yes—
1236C22⋊C4C23×D1716yes—
1237C22⋊C4C23×D1716yes—
1238C22⋊C4C23×D1716yes—
1239C22⋊C4C23×D17112yes—
1240C42—171no—
1241C42—171no—
1242C42—173no—
1243C42—173no—
1244C42—173no—
1245C42—173no—
1246C42—173no—
1247C42—173no—
1248C42—173no—
1249C42—173no—
1250C42—176no—
1251C42—176no—
1252C42—171no—
1253C42—173no—
1254C42—172no—
1255C42C23×D1713yes—
1256C42C23×D1713yes—
1257C42C23×D1716yes—
1258C42C23×D1716yes—
1259C42C23×D1713yes—
1260C42C23×D1711yescharacteristic
1261C42C23×D1712yes—
1262C23—212no—
1263C23—46no—
1264C23—46no—
1265C23—171no—
1266C23—176no—
1267C23—173no—
1268C23—346no—
1269C23—346no—
1270C23—3412no—
1271C23—683no—
1272C23—686no—
1273C23—686no—
1274C23C24×D1716yes—
1275C23C24×D1713yes—
1276Q8—22no—
1277Q8—3412no—
1278Q8—344no—
1279Q8—346no—
1280Q8—342no—
1281Q8—6812no—
1282Q8C2×#6325214yescomplemented
1283D4—212no—
1284D4—212no—
1285D4—26no—
1286D4—3412no—
1287D4—3412no—
1288D4—3412no—
1289D4—3412no—
1290D4—3412no—
1291D4—3412no—
1292D4—3412no—
1293D4—346no—
1294D4—346no—
1295D4—6812no—
1296D4—686no—
1297D4—6812no—
1298D4—6812no—
1299D4—6812no—
1300D4—686no—
1301D4C2×#63252112yescomplemented
1302C2×C4—212no—
1303C2×C4—26no—
1304C2×C4—212no—
1305C2×C4—46no—
1306C2×C4—412no—
1307C2×C4—43no—
1308C2×C4—46no—
1309C2×C4—171no—
1310C2×C4—171no—
1311C2×C4—174no—
1312C2×C4—171no—
1313C2×C4—173no—
1314C2×C4—172no—
1315C2×C4—172no—
1316C2×C4—173no—
1317C2×C4—173no—
1318C2×C4—176no—
1319C2×C4—346no—
1320C2×C4—342no—
1321C2×C4—346no—
1322C2×C4—346no—
1323C2×C4—346no—
1324C2×C4—346no—
1325C2×C4—346no—
1326C2×C4—342no—
1327C2×C4—346no—
1328C2×C4—346no—
1329C2×C4—346no—
1330C2×C4—3412no—
1331C2×C4—346no—
1332C2×C4—3412no—
1333C2×C4—6812no—
1334C2×C4—683no—
1335C2×C4—683no—
1336C2×C4—686no—
1337C2×C4—686no—
1338C2×C4C2×#63252112yescomplemented
1339C2×C4C24×D1711yescharacteristic
1340C2×C4C24×D1713yes—
1341C2×C4C24×D1713yes—
1342C2×C4C24×D1712yes—
1343C2×C4C24×D1712yes—
1344C2×C4C24×D1716yes—
1345C2×C4C24×D1713yes—
1346C2×C4C24×D1711yescharacteristic
1347C2×C4C24×D1711yescharacteristic
1348C22—23no—
1349C22—23no—
1350C22—26no—
1351C22—26no—
1352C22—26no—
1353C22—812no—
1354C22—172no—
1355C22—341no—
1356C22—341no—
1357C22—343no—
1358C22—346no—
1359C22—343no—
1360C22—346no—
1361C22—343no—
1362C22—346no—
1363C22—6812no—
1364C22—13612no—
1365C22C22×#6325216yes—
1366C22C25×D1711yescharacteristic
1367C4—22no—
1368C4—23no—
1369C4—26no—
1370C4—21no—
1371C4—23no—
1372C4—22no—
1373C4—172no—
1374C4—172no—
1375C4—341no—
1376C4—342no—
1377C4—343no—
1378C4—343no—
1379C4—346no—
1380C4—343no—
1381C4—342no—
1382C4C22×#6325216yes—
1383C4C22×#6325212yes—
1384C4H(5,𝔽2)×D1712yes—
1385C2—26no—
1386C2—46no—
1387C2—342no—
1388C2—683no—
1389C2—686no—
1390C2C23×#6325211yescharacteristic
1391C2C2×H(5,𝔽2)×D1711yescharacteristic
1392C2D17×#58511yescharacteristic
subgroupG/H
centerC2×C4C24×D17
commutator, socle, cosocleC22×C17C26
FrattiniC22C25×D17
FittingC4×C17×H(5,𝔽2)C2
hypercenterC4×H(5,𝔽2)D17
hypocenterC17#62800
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C2×C4 ◁ C4×H(5,𝔽2)

Complements

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

NH ≅ G/Ntype
1. #14542863C2semidirect
2. #14542806C2semidirect
3. #14542784C2semidirect
4. #14542735C2semidirect
5. #14542687C2semidirect
6. #14542655C2semidirect
7. #14542597C2semidirect
8. #14542558C2semidirect
9. #14542520C2semidirect
10. #14542509C2semidirect
11. #14542454C2semidirect
12. #14542446C2semidirect
13. #14542410C2semidirect
14. #14542388C2semidirect
15. #14542382C2semidirect
16. D4×#63252C2semidirect
17. #14542206C2semidirect
18. #14542200C2semidirect
19. #14542077C2semidirect
20. C2×#11763356C2semidirect
21. C4×#10587696C2semidirect
22. C4×#41×D17C2semidirect
23. C4×C17×H(5,𝔽2)C2semidirect
25. C22×#63252C22semidirect
27. #11763542C22semidirect
28. #11763542C22semidirect
29. Q8×Dic34C22semidirect
30. #11763535C22semidirect
31. #11763527C22semidirect
32. #11763524C22semidirect
33. #11763522C22semidirect
34. #11763522C22semidirect
35. #11763518C22semidirect
36. #11763514C22semidirect
37. #11763509C22semidirect
38. #11763509C22semidirect
39. #11763508C22semidirect
40. #11763507C22semidirect
41. #11763503C22semidirect
42. #11763488C22semidirect
43. #11763485C22semidirect
44. #11763481C22semidirect
45. #11763480C22semidirect
46. #11763480C22semidirect
47. #11763478C22semidirect
48. #11763478C22semidirect
49. #11763478C22semidirect
50. D4×Dic34C22semidirect
51. #11763471C22semidirect
52. #11763468C22semidirect
53. #11763466C22semidirect
54. #11763464C22semidirect
55. #11763460C22semidirect
56. #11763460C22semidirect
57. #11763455C22semidirect
58. #11763454C22semidirect
59. #11763453C22semidirect
60. #11763449C22semidirect
61. #11763449C22semidirect
62. #11763449C22semidirect
63. D4×D68C22semidirect
64. D4×C22⋊D17C22semidirect
65. D4×C22⋊D17C22semidirect
66. D4×C22⋊D17C22semidirect
67. #11763440C22semidirect
68. #11763437C22semidirect
69. #11763431C22semidirect
70. #11763430C22semidirect
71. #11763424C22semidirect
72. #11763424C22semidirect
73. #11763414C22semidirect
74. #11763410C22semidirect
75. #11763410C22semidirect
76. #11763410C22semidirect
77. #11763397C22semidirect
78. #11763392C22semidirect
79. #11763390C22semidirect
80. #11763387C22semidirect
81. #11763378C22semidirect
82. #11763376C22semidirect
83. #11763376C22semidirect
84. #11763373C22semidirect
85. #11763363C22semidirect
86. #11763363C22semidirect
87. #11763362C22semidirect
88. #11763359C22semidirect
89. #11763356C22semidirect
90. #11763356C22semidirect
91. #11763356C22semidirect
92. #11763356C22semidirect
93. #11763356C22semidirect
94. #11763356C22semidirect
95. #11763356C22semidirect
96. #11763356C22semidirect
97. #11763356C22semidirect
98. #11763356C22semidirect
99. #11763355C22semidirect
100. C2×#10587574C22semidirect
101. C2×#10587626C22semidirect
102. #11763346C22semidirect
103. #11763346C22semidirect
104. #11763343C22semidirect
105. #11763341C22semidirect
106. #11763341C22semidirect
107. #11763341C22semidirect
108. #11763339C22semidirect
109. #11763339C22semidirect
110. #11763337C22semidirect
111. #11763337C22semidirect
112. C2×#10587571C22semidirect
113. #11763321C22semidirect
114. #11763320C22semidirect
115. #11763318C22semidirect
116. #11763318C22semidirect
117. #11763318C22semidirect
118. #11763316C22semidirect
119. C2×#10587581C22semidirect
120. C2×#10587570C22semidirect
121. C2×#10587624C22semidirect
123. #11763291C22semidirect
124. #11763289C22semidirect
125. #11763283C22semidirect
126. #11763281C22semidirect
128. C4×#63256C22semidirect
129. C4×#63256C22semidirect
130. C4×#63256C22semidirect
131. C4×#63252C22semidirect
132. C4×#63252C22semidirect
133. C4×#63252C22semidirect
134. C4×#63252C22semidirect
135. #11763277C22semidirect
136. C4×#63254C22semidirect
137. C4×#63254C22semidirect
138. C4×Q8×D17C22semidirect
139. C4×Q8×D17C22semidirect
140. C2×C4×D68C22semidirect
141. C2×C4×C22⋊D17C22semidirect
142. C4×D4×D17C22semidirect
143. C4×D4×D17C22semidirect
144. C4×D4×D17C22semidirect
145. #117×D17C22semidirect
146. C2×C42×D17C22semidirect
149. C17×#520C22semidirect
150. C17×#520C22semidirect
151. C17×#518C22semidirect
152. C17×#518C22semidirect
154. C4×#41×C17C22semidirect
155. C4×#41×C17C22semidirect
156. C2×C4×D4×C17C22semidirect
157. C2×C4×D4×C17C22semidirect
407. #41×C17#41semidirect
581. Q8×C17C2×#41semidirect
585. D4×C17C2×#41semidirect
593. C2×C4×C17C2×#41semidirect
646. C4×D17H(5,𝔽2)semidirect
673. C4×H(5,𝔽2)D17semidirect
815. #520C2×D17semidirect
816. #520C2×D17semidirect
819. #518C2×D17semidirect
820. #518C2×D17semidirect
833. C4×#41C2×D17semidirect
834. C4×#41C2×D17semidirect
842. C2×C4×D4C2×D17semidirect
843. C2×C4×D4C2×D17semidirect
1098. C17#62800semidirect
1114. #41#63252semidirect
1282. Q8C2×#63252semidirect
1301. D4C2×#63252semidirect
1338. C2×C4C2×#63252semidirect

Maximal subgroups

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

subgroupindex
#145428632
#145428062
#145427842
#145427352
#145426872
#145426552
#145425972
#145425582
#145425202
#145425092
#145424542
#145424462
#145424102
#145423882
#145423822
D4×#632522
#145422062
#145422002
#145420772
C2×#117633562
C4×#105876962
C4×#41×D172
C4×C17×H(5,𝔽2)2
#6280017