Finite Group Databasebeta

← #16942207

Subgroups — #16942207

Order 4352.

934 conjugacy classes of subgroups.

The subgroup lattice has 688 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#10587485C211yesmaximal, characteristic
2C2×C4×#63225C211yesmaximal, characteristic
3C2×#11762564C211yesmaximal, characteristic
4C2×#11762563C211yesmaximal, characteristic
5C2×#11762563C211yesmaximal, characteristic
6C2×#11762563C211yesmaximal, characteristic
7C2×C17×#336C211yesmaximal, characteristic
8C23×#3622C2211yescharacteristic
9C23×#3622C2211yescharacteristic
10C22×#63225C411yescharacteristic
11C22×#63225C411yescharacteristic
12C22×C4×Dic17C2211yescharacteristic
13C22×C4×Dic17C2211yescharacteristic
14C2×#10587485—22no—
15C2×#10587485—22no—
16C2×#10587485—22no—
17C4×#63225—22no—
18C4×#63225—22no—
19C2×#10587502C411yescharacteristic
20C2×#10587502C411yescharacteristic
21#11762564—22no—
22#11762563—22no—
23#11762563—22no—
24#11762563—22no—
25C23×C8×C17C2211yescharacteristic
26C23×C8×C17C2211yescharacteristic
27C22×C42×C17C2211yescharacteristic
28C17×#336—22no—
29C23×C4×C17C2×C411yescharacteristic
30C23×C4×C17C2×C411yescharacteristic
31C23×C4×C17C2311yescharacteristic
32C23×Dic17C2×C411yescharacteristic
33C23×Dic17C2×C411yescharacteristic
34C23×Dic17C2×C411yescharacteristic
35C23×Dic17C2×C411yescharacteristic
36C22×C8×C17—21no—
37C22×C8×C17—21no—
38C22×C8×C17—21no—
39C22×C8×C17—21no—
40C22×C8×C17—21no—
41C22×C8×C17—21no—
42C22×C8×C17—21no—
43C22×C8×C17—21no—
44C22×C8×C17—21no—
45C22×C8×C17—21no—
46C22×C8×C17—21no—
47C22×C8×C17—21no—
48C22×C8×C17D412yes—
49C22×C8×C17Q812yes—
50C2×C42×C17—21no—
51C2×C42×C17—21no—
52C2×C42×C17—21no—
53C2×C42×C17—21no—
54C2×C42×C17—21no—
55C2×C42×C17—21no—
56C2×#63225—22no—
57C2×#63225—22no—
58C2×#63225—22no—
59C2×#63225—22no—
60C2×#63225—22no—
61C2×#63225C814yescomplemented
62C2×C4×Dic17—21no—
63C2×C4×Dic17—21no—
64C2×C4×Dic17—21no—
65C2×C4×Dic17—21no—
66C2×C4×Dic17—21no—
67C2×C4×Dic17—21no—
68C2×C4×Dic17—21no—
69C2×C4×Dic17—21no—
70C2×C4×Dic17D412yes—
71C2×C4×Dic17D412yes—
72C2×C4×Dic17D412yes—
73C2×C4×Dic17Q812yes—
74C22×#3622—21no—
75C22×#3622—21no—
76C22×#3622—21no—
77C22×#3622—21no—
78C22×#3622—21no—
79C22×#3622—21no—
80C22×#3622—21no—
81C22×#3622—21no—
82C22×#3622—21no—
83C22×#3622—21no—
84C22×#3622—21no—
85C22×#3622—21no—
86C22×#3622D412yes—
87C22×#3622Q812yes—
88#10587502—22no—
89#10587502—22no—
90#10587485—28no—
91C24×C17C22×C411yescharacteristic
92C22×C4×C17—21no—
93C22×C4×C17—21no—
94C22×C4×C17—21no—
95C22×C4×C17—21no—
96C22×C4×C17—21no—
97C22×C4×C17—21no—
98C22×C4×C17—21no—
99C22×C4×C17—21no—
100C22×C4×C17—21no—
101C22×C4×C17—21no—
102C22×C4×C17—21no—
103C22×C4×C17—21no—
104C22×C4×C17C2×C812yes—
105C22×C4×C17M1612yes—
106C22×C4×C17C2×D411yescharacteristic
107C22×C4×C17C2×D411yescharacteristic
108C22×C4×C17C2×D411yescharacteristic
109C22×C4×C17C2×D411yescharacteristic
110C22×C4×C17C2×D411yescharacteristic
111C22×C4×C17C2×Q811yescharacteristic
112C22×C4×C17C2×Q811yescharacteristic
113C22×C4×C17C2×Q811yescharacteristic
114C22×C4×C17#4111yescharacteristic
115C22×C4×C17#4111yescharacteristic
116C22×C4×C17#4111yescharacteristic
117C22×C4×C17#4111yescharacteristic
118C22×C4×C17#4111yescharacteristic
119C22×C4×C17#4111yescharacteristic
120C22×Dic17—21no—
121C22×Dic17—21no—
122C22×Dic17—21no—
123C22×Dic17—21no—
124C22×Dic17—21no—
125C22×Dic17—21no—
126C22×Dic17—21no—
127C22×Dic17—21no—
128C22×Dic17—21no—
129C22×Dic17—21no—
130C22×Dic17—21no—
131C22×Dic17—21no—
132C22×Dic17—21no—
133C22×Dic17—21no—
134C22×Dic17—21no—
135C22×Dic17—21no—
136C22×Dic17—21no—
137C22×Dic17—21no—
138C22×Dic17—21no—
139C22×Dic17—21no—
140C22×Dic17C22⋊C412yes—
141C22×Dic17C22⋊C412yes—
142C22×Dic17C4⋊C412yes—
143C22×Dic17C4⋊C412yes—
144C22×Dic17C2×C812yes—
145C22×Dic17C2×C812yes—
146C22×Dic17M1612yes—
147C22×Dic17M1612yes—
148C2×C8×C17—22no—
149C2×C8×C17—22no—
150C2×C8×C17—22no—
151C2×C8×C17—22no—
152C2×C8×C17—22no—
153C2×C8×C17—22no—
154C2×C8×C17—41no—
155C2×C8×C17—41no—
156C2×C8×C17—41no—
157C2×C8×C17—41no—
158C2×C8×C17—41no—
159C2×C8×C17—41no—
160C2×C8×C17—41no—
161C2×C8×C17—41no—
162C42×C17—41no—
163C42×C17—41no—
164C42×C17—41no—
165C42×C17—41no—
166#63225—28no—
167#63225—28no—
168C4×Dic17—22no—
169C4×Dic17—22no—
170C4×Dic17—22no—
171C4×Dic17—22no—
172C4×Dic17—22no—
173C4×Dic17—22no—
174C4×Dic17—22no—
175C4×Dic17—22no—
176C2×#3622—22no—
177C2×#3622—22no—
178C2×#3622—22no—
179C2×#3622—22no—
180C2×#3622—22no—
181C2×#3622—22no—
182C2×#3622—41no—
183C2×#3622—41no—
184C2×#3622—41no—
185C2×#3622—41no—
186C2×#3622—41no—
187C2×#3622—41no—
188C2×#3622—41no—
189C2×#3622—41no—
190#11202—171nomaximal, Sylow
191C23×C17C2×C22⋊C411yescharacteristic
192C23×C17C2×C4⋊C411yescharacteristic
193C23×C17#11711yescharacteristic
194C23×C17C4×D411yescharacteristic
195C23×C17C4×D411yescharacteristic
196C23×C17C4×Q811yescharacteristic
197C23×C17C4×Q811yescharacteristic
198C23×C17C22×C811yescharacteristic
199C23×C17C2×M1611yescharacteristic
200C23×C17C2×M1611yescharacteristic
201C23×C17C2×M1611yescharacteristic
202C23×C17#13111yescharacteristic
203C23×C17#13111yescharacteristic
204C23×C17#13111yescharacteristic
205C23×C17#13111yescharacteristic
206C2×C4×C17—22no—
207C2×C4×C17—22no—
208C2×C4×C17—22no—
209C2×C4×C17—22no—
210C2×C4×C17—22no—
211C2×C4×C17—22no—
212C2×C4×C17—41no—
213C2×C4×C17—41no—
214C2×C4×C17—41no—
215C2×C4×C17—41no—
216C2×C4×C17—41no—
217C2×C4×C17—41no—
218C2×C4×C17—41no—
219C2×C4×C17—41no—
220C2×C4×C17#12011yescharacteristic
221C2×C4×C17#12111yescharacteristic
222C2×C4×C17#12111yescharacteristic
223C2×C4×C17#12111yescharacteristic
224C2×C4×C17#12111yescharacteristic
225C2×C4×C17#12111yescharacteristic
226C2×C4×C17#12111yescharacteristic
227C2×C4×C17C22⋊Q811yescharacteristic
228C2×C4×C17C22⋊Q811yescharacteristic
229C2×C4×C17C22⋊Q811yescharacteristic
230C2×C4×C17C22⋊Q811yescharacteristic
231C2×C4×C17C22⋊Q811yescharacteristic
232C2×C4×C17C22⋊Q811yescharacteristic
233C2×C4×C17C22⋊Q811yescharacteristic
234C2×C4×C17C22⋊Q811yescharacteristic
235C2×C4×C17#12311yescharacteristic
236C2×C4×C17#12311yescharacteristic
237C2×C4×C17#12311yescharacteristic
238C2×C4×C17#12411yescharacteristic
239C2×C4×C17#12511yescharacteristic
240C2×C4×C17#12511yescharacteristic
241C2×C4×C17#12511yescharacteristic
242C2×C4×C17#12511yescharacteristic
243C2×C4×C17#12611yescharacteristic
244C2×C4×C17#12611yescharacteristic
245C2×C4×C17C4⋊Q811yescharacteristic
246C2×C4×C17C4⋊Q811yescharacteristic
247C2×C4×C17C4⋊Q811yescharacteristic
248C2×Dic17—22no—
249C2×Dic17—22no—
250C2×Dic17—22no—
251C2×Dic17—22no—
252C2×Dic17—22no—
253C2×Dic17—22no—
254C2×Dic17—22no—
255C2×Dic17—22no—
256C2×Dic17—22no—
257C2×Dic17—22no—
258C2×Dic17—22no—
259C2×Dic17—22no—
260C2×Dic17—22no—
261C2×Dic17—22no—
262C2×Dic17—22no—
263C2×Dic17—22no—
264C2×Dic17—22no—
265C2×Dic17—22no—
266C2×Dic17—41no—
267C2×Dic17—41no—
268C2×Dic17—41no—
269C2×Dic17—41no—
270C2×Dic17—41no—
271C2×Dic17—41no—
272C2×Dic17—41no—
273C2×Dic17—41no—
274C2×Dic17C22⋊C814yes—
275C2×Dic17C4⋊C814yescomplemented
276C8×C17—42no—
277C8×C17—42no—
278#3622—42no—
279#3622—42no—
280C22×C4⋊C8—171no—
281C2×C4×C4⋊C4—171no—
282C2×#336—171no—
283C2×#336—171no—
284C2×#336—171no—
285C2×#336—171no—
286C2×#336D1711yescharacteristic
287C22×C17#38011yescharacteristic
288C22×C17#38611yescharacteristic
289C22×C17#38711yescharacteristic
290C22×C17#38711yescharacteristic
291C22×C17#38911yescharacteristic
292C22×C17#38911yescharacteristic
293C22×C17#39111yescharacteristic
294C22×C17C2×C22⋊C811yescharacteristic
295C22×C17#40711yescharacteristic
296C22×C17#40811yescharacteristic
297C22×C17#40811yescharacteristic
298C22×C17C2×C4⋊C811yescharacteristic
299C22×C17#42311yescharacteristic
300C22×C17#42411yescharacteristic
301C22×C17#42411yescharacteristic
302C22×C17#43111yescharacteristic
303C22×C17#43211yescharacteristic
304C22×C17#43311yescharacteristic
305C22×C17#43311yescharacteristic
306C22×C17C8×D411yescharacteristic
307C22×C17C8×D411yescharacteristic
308C22×C17#43511yescharacteristic
309C22×C17#43511yescharacteristic
310C22×C17#43511yescharacteristic
311C22×C17#43511yescharacteristic
312C22×C17#43611yescharacteristic
313C22×C17#43611yescharacteristic
314C22×C17C8×Q811yescharacteristic
315C22×C17C8×Q811yescharacteristic
316C22×C17#44611yescharacteristic
317C22×C17#44611yescharacteristic
318C22×C17#44611yescharacteristic
319C22×C17#44611yescharacteristic
320C22×C17#44611yescharacteristic
321C22×C17#44611yescharacteristic
322C4×C17—42no—
323C4×C17—42no—
324C4×C17#39411yescharacteristic
325C4×C17#39511yescharacteristic
326C4×C17#39611yescharacteristic
327C4×C17#39611yescharacteristic
328C4×C17#39811yescharacteristic
329C4×C17#39811yescharacteristic
330C4×C17#39811yescharacteristic
331C4×C17#40011yescharacteristic
332Dic17—24no—
333Dic17—24no—
334Dic17—42no—
335Dic17—42no—
336C23×C8—171no—
337C23×C8—171no—
338C23×C8C2×D1711yescharacteristic
339C23×C8C2×D1711yescharacteristic
340C22×C4⋊C4—171no—
341C22×C4⋊C4—171no—
342C22×C42—171no—
343C22×C42—171no—
344C22×C42C2×D1711yescharacteristic
345C2×C4⋊C8—342no—
346C2×C4⋊C8—342no—
347C2×C4⋊C8—342no—
348C4×C4⋊C4—342no—
349C4×C4⋊C4—342no—
350C2×#95—171no—
351C2×#95—171no—
352#336—22no—
353#336—342no—
354#336—342no—
355#336—342no—
356#336—342no—
357C2×C17#144111yescharacteristic
358C2×C17#179711yescharacteristic
359C2×C17#179811yescharacteristic
360C2×C17#186911yescharacteristic
361C2×C17#187011yescharacteristic
362C2×C17#191611yescharacteristic
363C2×C17#191611yescharacteristic
364C2×C17#191711yescharacteristic
365C2×C17#191711yescharacteristic
366C2×C17#193911yescharacteristic
367C2×C17#193911yescharacteristic
368C2×C17#194011yescharacteristic
369C2×C17#194011yescharacteristic
370C2×C17#198411yescharacteristic
371C2×C17#198511yescharacteristic
372C23×C4—171no—
373C23×C4—171no—
374C23×C4—171no—
375C23×C4—171no—
376C23×C4C4×D1711yescharacteristic
377C23×C4C4×D1711yescharacteristic
378C23×C4C22×D1711yescharacteristic
379C22×C8—21no—
380C22×C8—21no—
381C22×C8—21no—
382C22×C8—21no—
383C22×C8—21no—
384C22×C8—21no—
385C22×C8—21no—
386C22×C8—21no—
387C22×C8—21no—
388C22×C8—21no—
389C22×C8—21no—
390C22×C8—21no—
391C22×C8—172no—
392C22×C8—172no—
393C22×C8—341no—
394C22×C8—341no—
395C22×C8—341no—
396C22×C8—341no—
397C22×C8—341no—
398C22×C8—341no—
399C22×C8—341no—
400C22×C8—341no—
401C22×C8—341no—
402C22×C8—341no—
403C22×C8—341no—
404C22×C8—341no—
405C22×C8Dic3412yes—
406C22×C8C22⋊D1712yes—
407C2×C4⋊C4—174no—
408C2×C4⋊C4—342no—
409C2×C4⋊C4—342no—
410C2×C4⋊C4—342no—
411C2×C4⋊C4—342no—
412C2×C4⋊C4—342no—
413C2×C42—21no—
414C2×C42—21no—
415C2×C42—21no—
416C2×C42—21no—
417C2×C42—21no—
418C2×C42—21no—
419C2×C42—172no—
420C2×C42—172no—
421C2×C42—172no—
422C2×C42—172no—
423C2×C42—341no—
424C2×C42—341no—
425C2×C42—341no—
426C2×C42—341no—
427C2×C42—341no—
428C2×C42—341no—
429C2×C42—341no—
430C2×C42—341no—
431C4⋊C8—348no—
432#95—342no—
433#95—342no—
434C17#1120211yescharacteristic, complemented, Sylow
435C24C2×C4×D1711yescharacteristic
436C22×C4—21no—
437C22×C4—21no—
438C22×C4—21no—
439C22×C4—21no—
440C22×C4—21no—
441C22×C4—21no—
442C22×C4—21no—
443C22×C4—21no—
444C22×C4—21no—
445C22×C4—21no—
446C22×C4—21no—
447C22×C4—21no—
448C22×C4—172no—
449C22×C4—172no—
450C22×C4—172no—
451C22×C4—172no—
452C22×C4—172no—
453C22×C4—172no—
454C22×C4—172no—
455C22×C4—172no—
456C22×C4—341no—
457C22×C4—341no—
458C22×C4—341no—
459C22×C4—341no—
460C22×C4—341no—
461C22×C4—341no—
462C22×C4—341no—
463C22×C4—341no—
464C22×C4—341no—
465C22×C4—341no—
466C22×C4—341no—
467C22×C4—341no—
468C22×C4—341no—
469C22×C4—341no—
470C22×C4—341no—
471C22×C4—341no—
472C22×C4—341no—
473C22×C4—341no—
474C22×C4—341no—
475C22×C4—341no—
476C22×C4C8×D1712yes—
477C22×C4#6321812yes—
478C22×C4C2×Dic3411yescharacteristic
479C22×C4#6325211yescharacteristic
480C22×C4#6325211yescharacteristic
481C22×C4#6325211yescharacteristic
482C22×C4#6325211yescharacteristic
483C22×C4D4×D1711yescharacteristic
484C22×C4D4×D1711yescharacteristic
485C22×C4D4×D1711yescharacteristic
486C22×C4D4×D1711yescharacteristic
487C22×C4#6325411yescharacteristic
488C22×C4#6325411yescharacteristic
489C22×C4Q8×D1711yescharacteristic
490C22×C4Q8×D1711yescharacteristic
491C22×C4C2×C22⋊D1711yescharacteristic
492C2×C8—22no—
493C2×C8—22no—
494C2×C8—22no—
495C2×C8—22no—
496C2×C8—22no—
497C2×C8—22no—
498C2×C8—41no—
499C2×C8—41no—
500C2×C8—41no—
501C2×C8—41no—
502C2×C8—41no—
503C2×C8—41no—
504C2×C8—41no—
505C2×C8—41no—
506C2×C8—342no—
507C2×C8—342no—
508C2×C8—342no—
509C2×C8—342no—
510C2×C8—342no—
511C2×C8—342no—
512C2×C8—681no—
513C2×C8—681no—
514C2×C8—681no—
515C2×C8—681no—
516C2×C8—681no—
517C2×C8—681no—
518C2×C8—681no—
519C2×C8—681no—
520C4⋊C4—348no—
521C4⋊C4—348no—
522C42—41no—
523C42—41no—
524C42—41no—
525C42—41no—
526C42—342no—
527C42—342no—
528C42—342no—
529C42—342no—
530C42—342no—
531C42—342no—
532C42—342no—
533C42—342no—
534C23C4×Dic3411yescharacteristic
535C23#1058755811yescharacteristic
536C23C22⋊C4×D1711yescharacteristic
537C23#1058756711yescharacteristic
538C23#1058757311yescharacteristic
539C23C4⋊C4×D1711yescharacteristic
540C23C2×C8×D1711yescharacteristic
541C23C2×#6321811yescharacteristic
542C23#1058758711yescharacteristic
543C23#1058758711yescharacteristic
544C23M16×D1711yescharacteristic
545C23M16×D1711yescharacteristic
546C23#1058759311yescharacteristic
547C23#1058759311yescharacteristic
548C23C4×C22⋊D1711yescharacteristic
549C2×C4—22no—
550C2×C4—22no—
551C2×C4—22no—
552C2×C4—22no—
553C2×C4—22no—
554C2×C4—22no—
555C2×C4—41no—
556C2×C4—41no—
557C2×C4—41no—
558C2×C4—41no—
559C2×C4—41no—
560C2×C4—41no—
561C2×C4—41no—
562C2×C4—41no—
563C2×C4—174no—
564C2×C4—174no—
565C2×C4—342no—
566C2×C4—342no—
567C2×C4—342no—
568C2×C4—342no—
569C2×C4—342no—
570C2×C4—342no—
571C2×C4—342no—
572C2×C4—342no—
573C2×C4—342no—
574C2×C4—342no—
575C2×C4—342no—
576C2×C4—342no—
577C2×C4—342no—
578C2×C4—342no—
579C2×C4—342no—
580C2×C4—342no—
581C2×C4—342no—
582C2×C4—342no—
583C2×C4—681no—
584C2×C4—681no—
585C2×C4—681no—
586C2×C4—681no—
587C2×C4—681no—
588C2×C4—681no—
589C2×C4—681no—
590C2×C4—681no—
591C2×C4#1058755611yescharacteristic
592C2×C4#1058756211yescharacteristic
593C2×C4#1058756411yescharacteristic
594C2×C4#1058756411yescharacteristic
595C2×C4#1058756511yescharacteristic
596C2×C4#1058756911yescharacteristic
597C2×C4#1058756911yescharacteristic
598C2×C4#1058757011yescharacteristic
599C2×C4#1058757011yescharacteristic
600C2×C4#1058757011yescharacteristic
601C2×C4#1058757011yescharacteristic
602C2×C4#1058757111yescharacteristic
603C2×C4#1058757411yescharacteristic
604C2×C4#1058757411yescharacteristic
605C2×C4#1058757511yescharacteristic
606C2×C4#1058757511yescharacteristic
607C2×C4#1058757511yescharacteristic
608C2×C4#1058758211yescharacteristic
609C2×C4#1058758211yescharacteristic
610C2×C4#1058758211yescharacteristic
611C2×C4#1058758211yescharacteristic
612C2×C4#1058758211yescharacteristic
613C2×C4#1058761011yescharacteristic
614C2×C4#1058761511yescharacteristic
615C2×C4#1058762311yescharacteristic
616C2×C4#1058762411yescharacteristic
617C2×C4#1058762511yescharacteristic
618C2×C4#1058763011yescharacteristic
619C8—42no—
620C8—42no—
621C8—682no—
622C8—682no—
623C22#1176266811yescharacteristic
624C22#1176268511yescharacteristic
625C22#1176269111yescharacteristic
626C22#1176269311yescharacteristic
627C22#1176270411yescharacteristic
628C22#1176270611yescharacteristic
629C22#1176271311yescharacteristic
630C22C22⋊C8×D1711yescharacteristic
631C22#1176277111yescharacteristic
632C22#1176277411yescharacteristic
633C22#1176277411yescharacteristic
634C22C4⋊C8×D1711yescharacteristic
635C22#1176283111yescharacteristic
636C22#1176283411yescharacteristic
637C22#1176283411yescharacteristic
638C22#1176286011yescharacteristic
639C22#1176286411yescharacteristic
640C22#1176286811yescharacteristic
641C22#1176287111yescharacteristic
642C22#1176287211yescharacteristic
643C22C8×C22⋊D1711yescharacteristic
644C22#1176287711yescharacteristic
645C22#1176287811yescharacteristic
646C22#1176288011yescharacteristic
647C22#1176288311yescharacteristic
648C22#1176288411yescharacteristic
649C22#1176288511yescharacteristic
650C22#1176293311yescharacteristic
651C22C8×Dic3411yescharacteristic
652C22#1176293611yescharacteristic
653C22#1176293711yescharacteristic
654C22#1176293711yescharacteristic
655C22#1176293811yescharacteristic
656C22#1176293811yescharacteristic
657C22#1176293911yescharacteristic
658C4—42no—
659C4—42no—
660C4—344no—
661C4—344no—
662C4—682no—
663C4—682no—
664C4#1176272411yescharacteristic
665C4#1176272911yescharacteristic
666C4#1176273211yescharacteristic
667C4#1176273311yescharacteristic
668C4#1176274011yescharacteristic
669C4#1176274311yescharacteristic
670C4#1176274311yescharacteristic
671C4#1176275011yescharacteristic
672C2#1452703511yescharacteristic
673C2#1452876311yescharacteristic
674C2#1452876711yescharacteristic
675C2#1452907311yescharacteristic
676C2#1452907811yescharacteristic
677C2#1452933911yescharacteristic
678C2#1452934111yescharacteristic
679C2#1452934611yescharacteristic
680C2#1452934811yescharacteristic
681C2#1452949911yescharacteristic
682C2#1452950111yescharacteristic
683C2#1452950411yescharacteristic
684C2#1452950611yescharacteristic
685C2#1452971811yescharacteristic
686C2#1452972211yescharacteristic
subgroupG/H
center, FrattiniC23×C4C22×D17
commutatorC23×C17C22×C8
FittingC2×C17×#336C2
socle, prime radicalC24×C17C22×C4
cosocleC23×C4×C17C23
hypercenterC2×#336D17
hypocenterC17#11202
LCSG ▷ C23×C17 ▷ C17
UCSC1 ◁ C23×C4 ◁ C2×#336

Complements

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

NH ≅ G/Ntype
61. C2×#63225C8semidirect
275. C2×Dic17C4⋊C8semidirect
434. C17#11202semidirect

Maximal subgroups

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

subgroupindex
C22×#105874852
C2×C4×#632252
C2×#117625642
C2×#117625632
C2×C17×#3362
#1120217