Finite Group Databasebeta

← C2×#14530061 #17062159

Subgroups — C2×#14530061 #17062159

Order 4352.

1322 conjugacy classes of subgroups.

The subgroup lattice has 744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11762857C211yesmaximal, characteristic, complemented
2C2×#11762826C211yesmaximal, characteristic
3C2×#11762818C211yesmaximal, characteristic, complemented
4C2×#11762793C211yesmaximal, characteristic
5C22×#10587507C211yesmaximal, characteristic, complemented
6#14530061C218yesmaximal, direct product factor
7C2×#11762581C211yesmaximal, characteristic, complemented
8C22×C17×#137C211yesmaximal, characteristic
9C22×#63223C2211yescharacteristic
10C22×#63223C2211yescharacteristic
11C22×#63223C2211yescharacteristic
12C2×#10587612C2211yescharacteristic
13#11762857—22no—
14#11762857C2214yescomplemented
15C2×#10587493—22no—
16#11762826—22no—
17#11762826C2214yes—
18C2×#10587508—22no—
19#11762818—22no—
20#11762818C2214yescomplemented
21C2×#10587506—22no—
22#11762793—22no—
23#11762793C2214yes—
24C2×#10587507—22no—
25C2×#10587507—22no—
26C2×#10587507—21no—
27C2×#10587507C2214yescomplemented
28C2×#10587504—21no—
29#11762581C2214yescomplemented
30C22×#41×C17C2211yescharacteristic
31C23×Q8×C17C2211yescharacteristic
32C2×C17×#137—22no—
33C2×C17×#137—22no—
34C2×C17×#137—22no—
35C2×C17×#137—22no—
36C2×C17×#137—22no—
37C2×C17×#137C2214yes—
38C22×Q16×C17—21no—
39C22×SD16×C17—21no—
40C22×M16×C17C2211yescharacteristic
41C2×#41×C17—21no—
42C2×#41×C17—21no—
43C2×#41×C17—21no—
44C2×#41×C17—21no—
45C2×#41×C17—21no—
46C2×#41×C17—21no—
47C2×#41×C17—21no—
48C2×#41×C17—21no—
49C2×#41×C17—21no—
50C2×#41×C17—21no—
51C2×#41×C17D412yes—
52C2×#41×C17C2312yes—
53C22×Q8×C17—21no—
54C22×Q8×C17—21no—
55C22×Q8×C17—21no—
56C22×Q8×C17—21no—
57C22×Q8×C17—21no—
58C22×Q8×C17—21no—
59C22×Q8×C17—21no—
60C22×Q8×C17—21no—
61C22×Q8×C17—21no—
62C22×Q8×C17—21no—
63C22×Q8×C17—21no—
64C22×Q8×C17D411yescharacteristic
65C22×Q8×C17D412yes—
66C22×Q8×C17D412yes—
67C22×Q8×C17C2312yes—
68C22×D4×C17—21no—
69C22×D4×C17D411yescharacteristic
70C23×C4×C17—21no—
71C23×C4×C17—21no—
72C23×C4×C17C2311yescharacteristic
73C17×#137—28no—
74C17×#137—28no—
75C17×#137—28no—
76C17×#137—28no—
77C2×Q16×C17—24no—
78C2×Q16×C17—24no—
79C2×Q16×C17—24no—
80C2×SD16×C17—24no—
81C2×SD16×C17—24no—
82C2×SD16×C17—24no—
83C2×M16×C17—21no—
84C2×M16×C17—21no—
85C2×M16×C17—21no—
86C2×M16×C17D412yes—
87C2×M16×C17D412yes—
88C2×M16×C17C2312yes—
89C22×C8×C17—21no—
90C2×C22⋊Dic17—21no—
91#10587612—21no—
92#10587612—21no—
93#10587612—21no—
94#10587612C2312yes—
95C2×C4⋊Dic17—21no—
96C2×C4×Dic17—21no—
97C2×#63223—21no—
98C2×#63223—21no—
99C2×#63223—21no—
100C2×#63223—21no—
101C2×#63223—21no—
102C2×#63223—21no—
103C2×#63223—21no—
104C2×#63223—21no—
105C2×#63223—21no—
106C2×#63223—21no—
107C2×#63223—21no—
108C2×#63223—21no—
109C2×#63223—21no—
110C2×#63223D412yes—
111C2×#63223D412yes—
112C2×#63223C2312yes—
113C2×#63223C2312yes—
114C2×#63223C2312yes—
115C22×#3622—21no—
116C22×#3622—21no—
117C22×#3622—21no—
118#10587508—28no—
119#10587507—28no—
120#10587507—24no—
121#10587506—28no—
122#10587504—24no—
123#10587493—28no—
124C24×C17—21no—
125C24×C17#4111yescharacteristic
126#41×C17—22no—
127#41×C17—22no—
128#41×C17—22no—
129#41×C17—22no—
130#41×C17—22no—
131#41×C17—22no—
132#41×C17—22no—
133#41×C17—22no—
134#41×C17—41no—
135#41×C17—41no—
136#41×C17—41no—
137#41×C17—41no—
138#41×C17—41no—
139#41×C17—41no—
140#41×C17—41no—
141#41×C17—41no—
142C2×Q8×C17—22no—
143C2×Q8×C17—22no—
144C2×Q8×C17—21no—
145C2×Q8×C17—22no—
146C2×Q8×C17—22no—
147C2×Q8×C17—22no—
148C2×Q8×C17—21no—
149C2×Q8×C17—21no—
150C2×Q8×C17—22no—
151C2×Q8×C17—22no—
152C2×Q8×C17—21no—
153C2×Q8×C17—21no—
154C2×Q8×C17—22no—
155C2×Q8×C17—22no—
156C2×Q8×C17—22no—
157C2×Q8×C17—22no—
158C2×Q8×C17—22no—
159C2×Q8×C17—22no—
160C2×Q8×C17—22no—
161C2×Q8×C17—22no—
162C2×Q8×C17—41no—
163C2×Q8×C17—41no—
164C2×Q8×C17—41no—
165C2×Q8×C17—41no—
166C2×Q8×C17—41no—
167C2×Q8×C17—41no—
168C2×Q8×C17—41no—
169C2×Q8×C17—41no—
170C2×Q8×C17—41no—
171C2×Q8×C17—41no—
172C2×Q8×C17—41no—
173C2×Q8×C17—41no—
174C2×Q8×C17C2×D412yes—
175C2×Q8×C17C2×D414yes—
176C2×D4×C17—22no—
177C2×D4×C17—22no—
178C2×D4×C17—21no—
179C2×D4×C17—21no—
180C2×D4×C17—21no—
181C2×D4×C17—21no—
182C2×D4×C17—21no—
183C2×D4×C17—41no—
184C2×D4×C17—41no—
185C2×D4×C17—41no—
186C2×D4×C17—41no—
187C2×D4×C17C2×D412yes—
188C22×C4×C17—22no—
189C22×C4×C17—22no—
190C22×C4×C17—21no—
191C22×C4×C17—22no—
192C22×C4×C17—22no—
193C22×C4×C17—22no—
194C22×C4×C17—41no—
195C22×C4×C17—41no—
196C22×C4×C17—41no—
197C22×C4×C17—41no—
198C22×C4×C17—41no—
199C22×C4×C17—41no—
200C22×C4×C17—41no—
201C22×C4×C17—41no—
202C22×C4×C17C2×D411yescharacteristic
203C22×C4×C17C2×D411yescharacteristic
204C22×C4×C17C2×D411yescharacteristic
205C22×C4×C17C2×D411yescharacteristic
206C22×C4×C17C2×D411yescharacteristic
207C22×C4×C17C2×D411yescharacteristic
208C22×C4×C17C2×D411yescharacteristic
209C22×C4×C17C2×D411yescharacteristic
210C22×C4×C17#4111yescharacteristic
211C22×C4×C17#4111yescharacteristic
212C22×C4×C17#4111yescharacteristic
213C22×C4×C17#4111yescharacteristic
214C22×C4×C17#4111yescharacteristic
215C22×C4×C17C2411yescharacteristic
216C22×Dic17—41no—
217Q16×C17—216no—
218SD16×C17—216no—
219M16×C17—22no—
220M16×C17—22no—
221M16×C17—22no—
222M16×C17C2×D414yes—
223C2×C8×C17—22no—
224C2×C8×C17—22no—
225C2×C8×C17—22no—
226C22⋊Dic17—22no—
227C22⋊Dic17—41no—
228C4⋊Dic17—22no—
229C4⋊Dic17—41no—
230C4×Dic17—22no—
231C4×Dic17—41no—
232#63223—22no—
233#63223—22no—
234#63223—22no—
235#63223—22no—
236#63223—22no—
237#63223—22no—
238#63223—22no—
239#63223—41no—
240#63223—41no—
241#63223—41no—
242#63223—41no—
243#63223C2×D414yes—
244C2×#3622—22no—
245C2×#3622—22no—
246C2×#3622—22no—
247C2×#3622—22no—
248C2×#3622—22no—
249C2×#3622—41no—
250C2×#3622—41no—
251C2×#3622—41no—
252C2×#3622—41no—
253C2×#2049—171nomaximal, Sylow
254C23×C17—22no—
255C23×C17—42no—
256C23×C17—41no—
257C23×C17—41no—
258C23×C17—82no—
259C23×C17#12111yescharacteristic
260C23×C17#12111yescharacteristic
261C23×C17#12311yescharacteristic
262C23×C17#12311yescharacteristic
263C23×C17#12411yescharacteristic
264C23×C17#12411yescharacteristic
265C23×C17C2×#4111yescharacteristic
266Q8×C17—24no—
267Q8×C17—22no—
268Q8×C17—22no—
269Q8×C17—24no—
270Q8×C17—42no—
271Q8×C17—42no—
272Q8×C17—42no—
273Q8×C17—42no—
274Q8×C17—42no—
275Q8×C17—42no—
276Q8×C17—41no—
277Q8×C17—41no—
278D4×C17—22no—
279D4×C17—22no—
280D4×C17—42no—
281D4×C17—42no—
282D4×C17—42no—
283D4×C17—42no—
284D4×C17—41no—
285D4×C17—41no—
286C2×C4×C17—24no—
287C2×C4×C17—22no—
288C2×C4×C17—42no—
289C2×C4×C17—42no—
290C2×C4×C17—41no—
291C2×C4×C17—41no—
292C2×C4×C17—42no—
293C2×C4×C17—42no—
294C2×C4×C17—42no—
295C2×C4×C17—42no—
296C2×C4×C17—42no—
297C2×C4×C17—42no—
298C2×C4×C17—42no—
299C2×C4×C17—42no—
300C2×C4×C17#12011yescharacteristic
301C2×C4×C17#12011yescharacteristic
302C2×C4×C17#12011yescharacteristic
303C2×C4×C17#12011yescharacteristic
304C2×C4×C17#12111yescharacteristic
305C2×C4×C17#12111yescharacteristic
306C2×C4×C17#12111yescharacteristic
307C2×C4×C17#12111yescharacteristic
308C2×C4×C17#12111yescharacteristic
309C2×C4×C17#12111yescharacteristic
310C2×C4×C17#12111yescharacteristic
311C2×C4×C17#12111yescharacteristic
312C2×C4×C17#12111yescharacteristic
313C2×C4×C17#12111yescharacteristic
314C2×C4×C17#12311yescharacteristic
315C2×C4×C17#12311yescharacteristic
316C2×C4×C17#12311yescharacteristic
317C2×C4×C17#12311yescharacteristic
318C2×C4×C17#12311yescharacteristic
319C2×C4×C17#12311yescharacteristic
320C2×C4×C17#12411yescharacteristic
321C2×C4×C17#12411yescharacteristic
322C2×C4×C17C22×D411yescharacteristic
323C2×C4×C17C22×D411yescharacteristic
324C2×C4×C17C22×D411yescharacteristic
325C2×C4×C17C22×D411yescharacteristic
326C2×C4×C17C2×#4111yescharacteristic
327C2×C4×C17C2×#4111yescharacteristic
328C2×Dic17—42no—
329C2×Dic17—82no—
330C8×C17—24no—
331#3622—24no—
332#3622—42no—
333#3622—42no—
334C22×#137D1711yescharacteristic
335C2×#430—171no—
336C2×#421—171no—
337C2×#419—171no—
338C2×#413—171no—
339C22×#101—171no—
340#2049—178no—
341C2×#344—171no—
342C22×C17—22no—
343C22×C17—22no—
344C22×C17—22no—
345C22×C17—41no—
346C22×C17—41no—
347C22×C17—41no—
348C22×C17—41no—
349C22×C17—42no—
350C22×C17—82no—
351C22×C17—82no—
352C22×C17—82no—
353C22×C17#39411yescharacteristic
354C22×C17#39411yescharacteristic
355C22×C17#39411yescharacteristic
356C22×C17#39411yescharacteristic
357C22×C17C2×#12111yescharacteristic
358C22×C17C2×#12311yescharacteristic
359C22×C17C2×#12411yescharacteristic
360C4×C17—42no—
361C4×C17—44no—
362C4×C17#39411yescharacteristic
363C4×C17#39411yescharacteristic
364C4×C17#39411yescharacteristic
365C4×C17#39411yescharacteristic
366C4×C17C2×#12011yescharacteristic
367C4×C17C2×#12111yescharacteristic
368C4×C17C2×#12111yescharacteristic
369C4×C17C2×#12311yescharacteristic
370Dic17—82no—
371C22×#41C2×D1711yescharacteristic
372C23×Q8C2×D1711yescharacteristic
373C2×#137—22no—
374C2×#137—22no—
375C2×#137—22no—
376C2×#137—22no—
377C2×#137—22no—
378C2×#137C2×D1714yes—
379C22×Q16—21no—
380C22×SD16—21no—
381C22×M16—171no—
382C22×M16—171no—
383C22×M16—171no—
384C22×M16C2×D1711yescharacteristic
385C2×#117—171no—
386#430—174no—
387#430—342no—
388C2×#108—342no—
389#421—174no—
390#421—342no—
391C2×#104—342no—
392#419—174no—
393#419—342no—
394C2×#103—342no—
395#413—174no—
396#413—342no—
397C2×#101—174no—
398C2×#101—342no—
399C2×#101—342no—
400C2×#101—341no—
401C2×#100—341no—
402#344—174no—
403C2×C17—21no—
404C2×C17—21no—
405C2×C17—21no—
406C2×C17—21no—
407C2×C17—21no—
408C2×C17—21no—
409C2×C17—82no—
410C2×C17#204912yescomplemented
411C2×C17C2×#39411yescharacteristic
412C2×#41—21no—
413C2×#41—21no—
414C2×#41—21no—
415C2×#41—21no—
416C2×#41—21no—
417C2×#41—21no—
418C2×#41—21no—
419C2×#41—21no—
420C2×#41—21no—
421C2×#41—21no—
422C2×#41C22⋊D1712yes—
423C2×#41C22×D1712yes—
424C22×Q8—21no—
425C22×Q8—21no—
426C22×Q8—21no—
427C22×Q8—21no—
428C22×Q8—21no—
429C22×Q8—21no—
430C22×Q8—21no—
431C22×Q8—21no—
432C22×Q8—21no—
433C22×Q8—21no—
434C22×Q8—21no—
435C22×Q8C22⋊D1711yescharacteristic
436C22×Q8C22⋊D1712yes—
437C22×Q8C22⋊D1712yes—
438C22×Q8C22×D1712yes—
439C22×D4—21no—
440C22×D4C22⋊D1711yescharacteristic
441C23×C4—21no—
442C23×C4—21no—
443C23×C4C22×D1711yescharacteristic
444#137—28no—
445#137—28no—
446#137—28no—
447#137—28no—
448C2×Q16—24no—
449C2×Q16—24no—
450C2×Q16—24no—
451C2×SD16—24no—
452C2×SD16—24no—
453C2×SD16—24no—
454C2×M16—21no—
455C2×M16—21no—
456C2×M16—21no—
457C2×M16—172no—
458C2×M16—172no—
459C2×M16—172no—
460C2×M16—172no—
461C2×M16—172no—
462C2×M16—341no—
463C2×M16—341no—
464C2×M16—341no—
465C2×M16—341no—
466C2×M16—341no—
467C2×M16—341no—
468C2×M16—341no—
469C2×M16—341no—
470C2×M16—341no—
471C2×M16—341no—
472C2×M16—341no—
473C2×M16—341no—
474C2×M16—341no—
475C2×M16C22⋊D1712yes—
476C2×M16C22⋊D1712yes—
477C2×M16C22×D1712yes—
478C22×C8—21no—
479C22×C8—341no—
480C22×C8—341no—
481C22×C8—341no—
482#117—172no—
483#117—341no—
484#117—341no—
485#117—341no—
486C2×C4⋊C4—341no—
487C2×C22⋊C4—341no—
488C2×C42—341no—
489#108—348no—
490#104—348no—
491#103—348no—
492#101—348no—
493#101—344no—
494#100—344no—
495C17C2×#204911yescharacteristic, complemented, Sylow
496C24—21no—
497C24#6325411yescharacteristic
498#41—22no—
499#41—22no—
500#41—22no—
501#41—22no—
502#41—22no—
503#41—22no—
504#41—22no—
505#41—22no—
506#41—41no—
507#41—41no—
508#41—41no—
509#41—41no—
510#41—41no—
511#41—41no—
512#41—41no—
513#41—41no—
514C2×Q8—22no—
515C2×Q8—21no—
516C2×Q8—22no—
517C2×Q8—22no—
518C2×Q8—22no—
519C2×Q8—22no—
520C2×Q8—22no—
521C2×Q8—22no—
522C2×Q8—22no—
523C2×Q8—22no—
524C2×Q8—22no—
525C2×Q8—22no—
526C2×Q8—21no—
527C2×Q8—21no—
528C2×Q8—22no—
529C2×Q8—22no—
530C2×Q8—21no—
531C2×Q8—21no—
532C2×Q8—22no—
533C2×Q8—22no—
534C2×Q8—41no—
535C2×Q8—41no—
536C2×Q8—41no—
537C2×Q8—41no—
538C2×Q8—41no—
539C2×Q8—41no—
540C2×Q8—41no—
541C2×Q8—41no—
542C2×Q8—41no—
543C2×Q8—41no—
544C2×Q8—41no—
545C2×Q8—41no—
546C2×Q8C2×C22⋊D1712yes—
547C2×Q8C2×C22⋊D1714yes—
548C2×D4—22no—
549C2×D4—22no—
550C2×D4—21no—
551C2×D4—21no—
552C2×D4—21no—
553C2×D4—21no—
554C2×D4—21no—
555C2×D4—41no—
556C2×D4—41no—
557C2×D4—41no—
558C2×D4—41no—
559C2×D4C2×C22⋊D1712yes—
560C22×C4—22no—
561C22×C4—21no—
562C22×C4—22no—
563C22×C4—22no—
564C22×C4—22no—
565C22×C4—22no—
566C22×C4—41no—
567C22×C4—41no—
568C22×C4—41no—
569C22×C4—41no—
570C22×C4—41no—
571C22×C4—41no—
572C22×C4—41no—
573C22×C4—41no—
574C22×C4—681no—
575C22×C4D4×D1711yescharacteristic
576C22×C4D4×D1711yescharacteristic
577C22×C4#6325411yescharacteristic
578C22×C4#6325411yescharacteristic
579C22×C4#6325411yescharacteristic
580C22×C4#6325411yescharacteristic
581C22×C4#6325411yescharacteristic
582C22×C4C2×C22⋊D1711yescharacteristic
583C22×C4C2×C22⋊D1711yescharacteristic
584C22×C4C2×C22⋊D1711yescharacteristic
585C22×C4C2×C22⋊D1711yescharacteristic
586C22×C4C2×C22⋊D1711yescharacteristic
587C22×C4C2×C22⋊D1711yescharacteristic
588C22×C4C23×D1711yescharacteristic
589Q16—216no—
590SD16—216no—
591M16—22no—
592M16—22no—
593M16—22no—
594M16—174no—
595M16—342no—
596M16—342no—
597M16—342no—
598M16—342no—
599M16—342no—
600M16—342no—
601M16—342no—
602M16—681no—
603M16—681no—
604M16—681no—
605M16—681no—
606M16C2×C22⋊D1714yes—
607C2×C8—22no—
608C2×C8—22no—
609C2×C8—22no—
610C2×C8—342no—
611C2×C8—342no—
612C2×C8—342no—
613C2×C8—342no—
614C2×C8—342no—
615C2×C8—681no—
616C2×C8—681no—
617C2×C8—681no—
618C2×C8—681no—
619C4⋊C4—342no—
620C4⋊C4—681no—
621C22⋊C4—342no—
622C22⋊C4—681no—
623C42—342no—
624C42—681no—
625C23—22no—
626C23—42no—
627C23—41no—
628C23—41no—
629C23—82no—
630C23#1058762111yescharacteristic
631C23#1058762111yescharacteristic
632C23#1058762211yescharacteristic
633C23#1058762211yescharacteristic
634C23#1058762511yescharacteristic
635C23#1058762511yescharacteristic
636C23C2×#6325411yescharacteristic
637Q8—24no—
638Q8—22no—
639Q8—22no—
640Q8—24no—
641Q8—42no—
642Q8—42no—
643Q8—42no—
644Q8—42no—
645Q8—41no—
646Q8—41no—
647Q8—42no—
648Q8—42no—
649D4—22no—
650D4—22no—
651D4—42no—
652D4—42no—
653D4—42no—
654D4—42no—
655D4—41no—
656D4—41no—
657C2×C4—24no—
658C2×C4—22no—
659C2×C4—41no—
660C2×C4—42no—
661C2×C4—42no—
662C2×C4—42no—
663C2×C4—41no—
664C2×C4—42no—
665C2×C4—42no—
666C2×C4—42no—
667C2×C4—42no—
668C2×C4—42no—
669C2×C4—42no—
670C2×C4—42no—
671C2×C4—682no—
672C2×C4—1362no—
673C2×C4#1058762111yescharacteristic
674C2×C4#1058762111yescharacteristic
675C2×C4#1058762111yescharacteristic
676C2×C4#1058762111yescharacteristic
677C2×C4#1058762111yescharacteristic
678C2×C4#1058762111yescharacteristic
679C2×C4#1058762211yescharacteristic
680C2×C4#1058762211yescharacteristic
681C2×C4#1058762411yescharacteristic
682C2×C4#1058762411yescharacteristic
683C2×C4#1058762411yescharacteristic
684C2×C4#1058762411yescharacteristic
685C2×C4#1058762511yescharacteristic
686C2×C4#1058762511yescharacteristic
687C2×C4#1058762511yescharacteristic
688C2×C4#1058762511yescharacteristic
689C2×C4#1058762511yescharacteristic
690C2×C4#1058762511yescharacteristic
691C2×C4#1058763911yescharacteristic
692C2×C4#1058763911yescharacteristic
693C2×C4#1058763911yescharacteristic
694C2×C4#1058763911yescharacteristic
695C2×C4C2×D4×D1711yescharacteristic
696C2×C4C2×#6325411yescharacteristic
697C2×C4C2×#6325411yescharacteristic
698C2×C4C22×C22⋊D1711yescharacteristic
699C2×C4C22×C22⋊D1711yescharacteristic
700C2×C4C22×C22⋊D1711yescharacteristic
701C8—24no—
702C8—344no—
703C8—682no—
704C8—682no—
705C22—22no—
706C22—22no—
707C22—22no—
708C22—41no—
709C22—41no—
710C22—41no—
711C22—41no—
712C22—42no—
713C22—82no—
714C22—82no—
715C22—82no—
716C22#1176272311yescharacteristic
717C22#1176272311yescharacteristic
718C22#1176272311yescharacteristic
719C22#1176272311yescharacteristic
720C22C2×#1058762511yescharacteristic
721C22C2×#1058762111yescharacteristic
722C22C2×#1058762211yescharacteristic
723C4—42no—
724C4—44no—
725C4—1362no—
726C4#1176272311yescharacteristic
727C4#1176272311yescharacteristic
728C4#1176272311yescharacteristic
729C4#1176272311yescharacteristic
730C4C2×#1058763911yescharacteristic
731C4C2×#1058762411yescharacteristic
732C4C2×#1058762511yescharacteristic
733C4C2×#1058762111yescharacteristic
734C2—21no—
735C2—21no—
736C2—21no—
737C2—21no—
738C2—21no—
739C2—21no—
740C2—82no—
741C2#1453006112yesdirect product factor
742C2C2×#1176272311yescharacteristic
subgroupG/H
centerC22#11762723
commutator, cosocleC22×C4×C17C24
FrattiniC22×C4C23×D17
FittingC22×C17×#137C2
socleC22×C17#394
prime radicalC22×#41×C17C22
hypercenterC22×#137D17
hypocenterC17C2×#2049
LCSG ▷ C22×C4×C17 ▷ C2×C17 ▷ C17
UCSC1 ◁ C22 ◁ C23×C4 ◁ C22×#137

Complements

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

NH ≅ G/Ntype
1. C2×#11762857C2semidirect
3. C2×#11762818C2semidirect
5. C22×#10587507C2semidirect
6. #14530061C2direct (N × H)
7. C2×#11762581C2semidirect
14. #11762857C22semidirect
20. #11762818C22semidirect
27. C2×#10587507C22semidirect
29. #11762581C22semidirect
410. C2×C17#2049semidirect
495. C17C2×#2049semidirect
741. C2#14530061direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#117628572
C2×#117628262
C2×#117628182
C2×#117627932
C22×#105875072
#145300612
C2×#117625812
C22×C17×#1372
C2×#204917