Finite Group Databasebeta

← #15769713

Subgroups — #15769713

Order 3328.

1278 conjugacy classes of subgroups.

The subgroup lattice has 756 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#88205C211yesmaximal, characteristic
2C22×#88050C211yesmaximal, characteristic, complemented
3C22×#88064C211yesmaximal, characteristic, complemented
4C2×#11718895C211yesmaximal, characteristic
5C2×#11718122C211yesmaximal, characteristic, complemented
6C2×#11718150C211yesmaximal, characteristic, complemented
7C2×C13×#417C211yesmaximal, characteristic
8C22×C13×#41C2211yescharacteristic
9C23×Dic26C2211yescharacteristic
10C22×C13×M16C2211yescharacteristic
11C22×C13×C4⋊C4C2211yescharacteristic
12C2×#88205—22no—
13C2×#88205—22no—
14C2×#88205—22no—
15C2×#88205—22no—
16C2×#88205—22no—
17C2×#88205C414yescomplemented
18C22×#6107—21no—
19C22×#6105—21no—
20C22×#6099C2211yescharacteristic
21C22×#6099C2211yescharacteristic
22C23×#1055C2211yescharacteristic
23C13×#417—22no—
24C13×#417—22no—
25C2×C13×#103—21no—
26C2×C13×#102—21no—
27#11718895—22no—
28#11718895—22no—
29C2×C22⋊#1055—22no—
30C2×#88064—22no—
31C2×#88064—22no—
32C2×#88064—22no—
33C2×#88050—22no—
34C2×#88050—22no—
35C2×#88050—22no—
36#11718150—22no—
37#11718122—22no—
38C2×C13×#41—21no—
39C2×C13×#41—21no—
40C2×C13×#41—21no—
41C2×C13×#41—21no—
42C2×C13×#41—21no—
43C2×C13×#41—21no—
44C2×C13×#41—21no—
45C2×C13×#41—21no—
46C2×C13×#41—21no—
47C2×C13×#41—21no—
48C2×C13×#41C2×C412yes—
49C2×C13×#41D412yes—
50C22×Q8×C13D411yescharacteristic
51C22×D4×C13—21no—
52C22×D4×C13D411yescharacteristic
53C23×C4×C13—21no—
54C23×C4×C13—21no—
55C23×C4×C13C2311yescharacteristic
56C23×Dic13—21no—
57C22×Dic26—21no—
58C22×Dic26—21no—
59C22×Dic26—21no—
60C22×Dic26—21no—
61C22×Dic26—21no—
62C22×Dic26—21no—
63C22×Dic26—21no—
64C22×Dic26—21no—
65C22×Dic26—21no—
66C22×Dic26—21no—
67C22×Dic26—21no—
68C22×Dic26C2×C412yes—
69C22×Dic26D412yes—
70C22×Dic26D412yes—
71C2×C13×M16—21no—
72C2×C13×M16—21no—
73C2×C13×M16—21no—
74C2×C13×M16—21no—
75C2×C13×M16—21no—
76C2×C13×M16D412yes—
77C22×C8×C13—21no—
78C2×C13×C4⋊C4—21no—
79C2×C13×C4⋊C4—21no—
80C2×C13×C4⋊C4—21no—
81C2×C13×C4⋊C4—21no—
82C2×C13×C4⋊C4—21no—
83C2×C13×C4⋊C4D412yes—
84#88205—28no—
85#88205—28no—
86#88205—28no—
87#88205—28no—
88C2×#6107—24no—
89C2×#6107—24no—
90C2×#6107—24no—
91C2×#6105—24no—
92C2×#6105—24no—
93C2×#6105—24no—
94C2×#6099—21no—
95C2×#6099—21no—
96C2×#6099—21no—
97C2×#6099—21no—
98C2×#6099—21no—
99C2×#6099—21no—
100C2×#6099—21no—
101C2×#6099—21no—
102C2×#6099C2×C412yes—
103C2×#6099D412yes—
104C2×#6099D412yes—
105C2×#6099D412yes—
106C22×#1055—21no—
107C22×#1055—21no—
108C22×#1055—21no—
109C22×#1055—21no—
110C22×#1055—21no—
111C22×#1055—21no—
112C22×#1055—21no—
113C22×#1055—21no—
114C22×#1055D412yes—
115C13×#103—24no—
116C13×#102—24no—
117C22⋊#1055—28no—
118#88064—28no—
119#88050—28no—
120#11021—131nomaximal, Sylow
121C24×C13—21no—
122C24×C13#4111yescharacteristic
123C13×#41—22no—
124C13×#41—22no—
125C13×#41—22no—
126C13×#41—22no—
127C13×#41—22no—
128C13×#41—22no—
129C13×#41—22no—
130C13×#41—22no—
131C13×#41—41no—
132C13×#41—41no—
133C13×#41—41no—
134C13×#41—41no—
135C13×#41—41no—
136C13×#41—41no—
137C13×#41—41no—
138C13×#41—41no—
139C2×Q8×C13—21no—
140C2×Q8×C13—21no—
141C2×Q8×C13—21no—
142C2×Q8×C13—21no—
143C2×Q8×C13—21no—
144C2×Q8×C13C22⋊C412yes—
145C2×D4×C13—22no—
146C2×D4×C13—22no—
147C2×D4×C13—21no—
148C2×D4×C13—21no—
149C2×D4×C13—21no—
150C2×D4×C13—21no—
151C2×D4×C13—21no—
152C2×D4×C13—41no—
153C2×D4×C13—41no—
154C2×D4×C13—41no—
155C2×D4×C13—41no—
156C2×D4×C13C22⋊C412yes—
157C22×C4×C13—21no—
158C22×C4×C13—22no—
159C22×C4×C13—22no—
160C22×C4×C13—22no—
161C22×C4×C13—41no—
162C22×C4×C13—41no—
163C22×C4×C13—41no—
164C22×C4×C13—41no—
165C22×C4×C13—41no—
166C22×C4×C13—41no—
167C22×C4×C13—82no—
168C22×C4×C13C22×C411yescharacteristic
169C22×C4×C13C2×D411yescharacteristic
170C22×C4×C13C2×D411yescharacteristic
171C22×C4×C13C2×D411yescharacteristic
172C22×C4×C13C2×D411yescharacteristic
173C22×C4×C13C2×D411yescharacteristic
174C22×C4×C13C2×D411yescharacteristic
175C22×C4×C13C2×D411yescharacteristic
176C22×C4×C13C2×D411yescharacteristic
177C22×C4×C13C2×D411yescharacteristic
178C22×C4×C13C2×D411yescharacteristic
179C22×C4×C13#4111yescharacteristic
180C22×C4×C13#4111yescharacteristic
181C22×C4×C13#4111yescharacteristic
182C22×Dic13—22no—
183C22×Dic13—22no—
184C22×Dic13—22no—
185C22×Dic13—41no—
186C22×Dic13—41no—
187C22×Dic13—41no—
188C22×Dic13—41no—
189C2×Dic26—22no—
190C2×Dic26—22no—
191C2×Dic26—22no—
192C2×Dic26—22no—
193C2×Dic26—22no—
194C2×Dic26—22no—
195C2×Dic26—22no—
196C2×Dic26—22no—
197C2×Dic26—22no—
198C2×Dic26—22no—
199C2×Dic26—22no—
200C2×Dic26—22no—
201C2×Dic26—22no—
202C2×Dic26—22no—
203C2×Dic26—22no—
204C2×Dic26—41no—
205C2×Dic26—41no—
206C2×Dic26—41no—
207C2×Dic26—41no—
208C2×Dic26—41no—
209C2×Dic26—41no—
210C2×Dic26—41no—
211C2×Dic26—41no—
212C2×Dic26—41no—
213C2×Dic26—41no—
214C2×Dic26—41no—
215C2×Dic26—41no—
216C2×Dic26C22⋊C414yes—
217C13×M16—22no—
218C13×M16—22no—
219C13×M16—41no—
220C13×M16—41no—
221C2×C8×C13—22no—
222C2×C8×C13—41no—
223C2×C8×C13—41no—
224C13×C4⋊C4—22no—
225C13×C4⋊C4—22no—
226C13×C4⋊C4—41no—
227C13×C4⋊C4—41no—
228#6107—216no—
229#6105—216no—
230#6099—22no—
231#6099—22no—
232#6099—22no—
233#6099—22no—
234#6099—22no—
235#6099—41no—
236#6099—41no—
237#6099C22⋊C414yes—
238C2×#1055—22no—
239C2×#1055—22no—
240C2×#1055—22no—
241C2×#1055—22no—
242C2×#1055—22no—
243C2×#1055—22no—
244C2×#1055—22no—
245C2×#1055—41no—
246C2×#1055—41no—
247C2×#1055—41no—
248C2×#1055—41no—
249C2×#1055—41no—
250C2×#1055—41no—
251C22×#137—131no—
252C2×#417D1311yescharacteristic
253C22×#103—131no—
254C22×#101—131no—
255C2×#408—131no—
256C2×#343—131no—
257C2×#341—131no—
258C23×C13—22no—
259C23×C13—22no—
260C23×C13—22no—
261C23×C13—41no—
262C23×C13—41no—
263C23×C13—42no—
264C23×C13—42no—
265C23×C13C4×D411yescharacteristic
266C23×C13#12111yescharacteristic
267C23×C13#12111yescharacteristic
268C23×C13#12111yescharacteristic
269C23×C13#12311yescharacteristic
270C23×C13#12311yescharacteristic
271C23×C13#12411yescharacteristic
272Q8×C13—22no—
273Q8×C13—22no—
274Q8×C13—41no—
275Q8×C13—41no—
276D4×C13—22no—
277D4×C13—22no—
278D4×C13—42no—
279D4×C13—42no—
280D4×C13—42no—
281D4×C13—42no—
282D4×C13—41no—
283D4×C13—41no—
284C2×C4×C13—22no—
285C2×C4×C13—41no—
286C2×C4×C13—41no—
287C2×C4×C13—42no—
288C2×C4×C13—42no—
289C2×C4×C13—42no—
290C2×C4×C13—42no—
291C2×C4×C13—42no—
292C2×C4×C13—82no—
293C2×C4×C13—82no—
294C2×C4×C13—82no—
295C2×C4×C13C2×C22⋊C411yescharacteristic
296C2×C4×C13C2×C22⋊C411yescharacteristic
297C2×C4×C13C2×C22⋊C411yescharacteristic
298C2×C4×C13C4×D411yescharacteristic
299C2×C4×C13C4×D411yescharacteristic
300C2×C4×C13C4×D411yescharacteristic
301C2×C4×C13#12011yescharacteristic
302C2×C4×C13#12011yescharacteristic
303C2×C4×C13#12011yescharacteristic
304C2×C4×C13#12011yescharacteristic
305C2×C4×C13#12011yescharacteristic
306C2×C4×C13#12011yescharacteristic
307C2×C4×C13#12011yescharacteristic
308C2×C4×C13#12011yescharacteristic
309C2×C4×C13#12111yescharacteristic
310C2×C4×C13#12111yescharacteristic
311C2×C4×C13#12111yescharacteristic
312C2×C4×C13#12111yescharacteristic
313C2×C4×C13#12111yescharacteristic
314C2×C4×C13#12111yescharacteristic
315C2×C4×C13#12111yescharacteristic
316C2×C4×C13#12111yescharacteristic
317C2×C4×C13#12111yescharacteristic
318C2×C4×C13#12311yescharacteristic
319C2×C4×C13#12311yescharacteristic
320C2×C4×C13#12411yescharacteristic
321C2×C4×C13#12711yescharacteristic
322C2×C4×C13#12711yescharacteristic
323C2×Dic13—24no—
324C2×Dic13—42no—
325C2×Dic13—42no—
326C2×Dic13—42no—
327C2×Dic13—42no—
328C2×Dic13—42no—
329C2×Dic13—42no—
330Dic26—24no—
331Dic26—24no—
332Dic26—42no—
333Dic26—42no—
334Dic26—42no—
335Dic26—42no—
336Dic26—42no—
337Dic26—42no—
338C8×C13—42no—
339#1055—24no—
340#1055—42no—
341#1055—42no—
342C22×#41C2×D1311yescharacteristic
343C23×Q8—131no—
344C2×#137—134no—
345C2×#137—262no—
346C2×#137—262no—
347C2×#137—262no—
348C2×#137—262no—
349C2×#137—262no—
350C22×Q16—261no—
351C22×SD16—261no—
352C22×M16—131no—
353C22×M16—131no—
354C22×M16C2×D1311yescharacteristic
355C23×C8—131no—
356C22×C4⋊C4C2×D1311yescharacteristic
357#417—22no—
358#417—22no—
359C2×#103—21no—
360C2×#103—262no—
361C2×#103—262no—
362C2×#103—262no—
363C2×#102—21no—
364C2×#101—262no—
365C2×#101—262no—
366C2×#101—262no—
367#408—262no—
368#408—262no—
369C2×C22⋊C8—262no—
370#343—262no—
371#341—262no—
372C22×C13—22no—
373C22×C13—22no—
374C22×C13—22no—
375C22×C13—22no—
376C22×C13—21no—
377C22×C13—21no—
378C22×C13—21no—
379C22×C13—21no—
380C22×C13—44no—
381C22×C13—42no—
382C22×C13—82no—
383C22×C13—81no—
384C22×C13—81no—
385C22×C13#38611yescharacteristic
386C22×C13#38611yescharacteristic
387C22×C13#39011yescharacteristic
388C22×C13#39211yescharacteristic
389C22×C13#39411yescharacteristic
390C22×C13#39411yescharacteristic
391C22×C13#39411yescharacteristic
392C22×C13#47112yes—
393C22×C13#47312yes—
394C4×C13—42no—
395C4×C13—82no—
396C4×C13#37911yescharacteristic
397C4×C13#38611yescharacteristic
398C4×C13#38611yescharacteristic
399C4×C13#39011yescharacteristic
400C4×C13#39211yescharacteristic
401C4×C13#39211yescharacteristic
402C4×C13#39211yescharacteristic
403C4×C13#39411yescharacteristic
404Dic13—44no—
405C2×#41—21no—
406C2×#41—21no—
407C2×#41—21no—
408C2×#41—21no—
409C2×#41—21no—
410C2×#41—21no—
411C2×#41—21no—
412C2×#41—21no—
413C2×#41—21no—
414C2×#41—21no—
415C2×#41C4×D1312yes—
416C2×#41D5212yes—
417C22×Q8—132no—
418C22×Q8—132no—
419C22×Q8—132no—
420C22×Q8—261no—
421C22×Q8—261no—
422C22×Q8—261no—
423C22×Q8—261no—
424C22×Q8—261no—
425C22×Q8—261no—
426C22×Q8—261no—
427C22×Q8—261no—
428C22×Q8—261no—
429C22×Q8—261no—
430C22×Q8—261no—
431C22×Q8C22⋊D1311yescharacteristic
432C22×D4—21no—
433C22×D4C22⋊D1311yescharacteristic
434C23×C4—21no—
435C23×C4—21no—
436C23×C4—261no—
437C23×C4C22×D1311yescharacteristic
438#137—268no—
439#137—268no—
440#137—268no—
441#137—268no—
442C2×Q16—264no—
443C2×Q16—264no—
444C2×Q16—264no—
445C2×SD16—264no—
446C2×SD16—264no—
447C2×SD16—264no—
448C2×M16—21no—
449C2×M16—21no—
450C2×M16—21no—
451C2×M16—21no—
452C2×M16—21no—
453C2×M16—132no—
454C2×M16—132no—
455C2×M16—132no—
456C2×M16—132no—
457C2×M16—261no—
458C2×M16—261no—
459C2×M16—261no—
460C2×M16—261no—
461C2×M16—261no—
462C2×M16—261no—
463C2×M16—261no—
464C2×M16—261no—
465C2×M16C22⋊D1312yes—
466C22×C8—21no—
467C22×C8—132no—
468C22×C8—261no—
469C22×C8—261no—
470C22×C8—261no—
471C22×C8—261no—
472C22×C8—261no—
473C22×C8—261no—
474C22×C8—261no—
475C22×C8—261no—
476C2×C4⋊C4—21no—
477C2×C4⋊C4—21no—
478C2×C4⋊C4—21no—
479C2×C4⋊C4—21no—
480C2×C4⋊C4—21no—
481C2×C4⋊C4C22⋊D1312yes—
482#103—24no—
483#103—268no—
484#102—24no—
485#101—268no—
486C22⋊C8—268no—
487C2×C13—21no—
488C2×C13—21no—
489C2×C13—21no—
490C2×C13—21no—
491C2×C13—82no—
492C2×C13#143811yescharacteristic
493C2×C13#190812yes—
494C2×C13#201911yescharacteristic
495C2×C13#202011yescharacteristic
496C2×C13#205212yes—
497C24—21no—
498C24#612911yescharacteristic
499#41—22no—
500#41—22no—
501#41—22no—
502#41—22no—
503#41—22no—
504#41—22no—
505#41—22no—
506#41—22no—
507#41—41no—
508#41—41no—
509#41—41no—
510#41—41no—
511#41—41no—
512#41—41no—
513#41—41no—
514#41—41no—
515C2×Q8—21no—
516C2×Q8—21no—
517C2×Q8—21no—
518C2×Q8—21no—
519C2×Q8—21no—
520C2×Q8—134no—
521C2×Q8—262no—
522C2×Q8—262no—
523C2×Q8—262no—
524C2×Q8—262no—
525C2×Q8—262no—
526C2×Q8—262no—
527C2×Q8—262no—
528C2×Q8—262no—
529C2×Q8—262no—
530C2×Q8—262no—
531C2×Q8—262no—
532C2×Q8—262no—
533C2×Q8—262no—
534C2×Q8—262no—
535C2×Q8—262no—
536C2×Q8—521no—
537C2×Q8—521no—
538C2×Q8—521no—
539C2×Q8—521no—
540C2×Q8—521no—
541C2×Q8—521no—
542C2×Q8—521no—
543C2×Q8—521no—
544C2×Q8—521no—
545C2×Q8—521no—
546C2×Q8—521no—
547C2×Q8—521no—
548C2×Q8#610312yes—
549C2×D4—22no—
550C2×D4—22no—
551C2×D4—21no—
552C2×D4—21no—
553C2×D4—21no—
554C2×D4—21no—
555C2×D4—21no—
556C2×D4—41no—
557C2×D4—41no—
558C2×D4—41no—
559C2×D4—41no—
560C2×D4#610312yes—
561C22×C4—21no—
562C22×C4—22no—
563C22×C4—22no—
564C22×C4—22no—
565C22×C4—41no—
566C22×C4—41no—
567C22×C4—41no—
568C22×C4—41no—
569C22×C4—41no—
570C22×C4—41no—
571C22×C4—82no—
572C22×C4—262no—
573C22×C4—262no—
574C22×C4—262no—
575C22×C4—521no—
576C22×C4—521no—
577C22×C4—521no—
578C22×C4—521no—
579C22×C4C2×C4×D1311yescharacteristic
580C22×C4C2×D5211yescharacteristic
581C22×C4#612711yescharacteristic
582C22×C4#612711yescharacteristic
583C22×C4D4×D1311yescharacteristic
584C22×C4D4×D1311yescharacteristic
585C22×C4D4×D1311yescharacteristic
586C22×C4D4×D1311yescharacteristic
587C22×C4D4×D1311yescharacteristic
588C22×C4D4×D1311yescharacteristic
589C22×C4#612911yescharacteristic
590C22×C4C2×C22⋊D1311yescharacteristic
591C22×C4C2×C22⋊D1311yescharacteristic
592C22×C4C2×C22⋊D1311yescharacteristic
593Q16—2616no—
594SD16—2616no—
595M16—22no—
596M16—22no—
597M16—41no—
598M16—41no—
599M16—134no—
600M16—262no—
601M16—262no—
602M16—262no—
603M16—262no—
604M16—262no—
605M16—521no—
606M16—521no—
607C2×C8—22no—
608C2×C8—41no—
609C2×C8—41no—
610C2×C8—262no—
611C2×C8—262no—
612C2×C8—262no—
613C2×C8—262no—
614C2×C8—262no—
615C2×C8—262no—
616C2×C8—262no—
617C2×C8—521no—
618C2×C8—521no—
619C2×C8—521no—
620C2×C8—521no—
621C2×C8—521no—
622C2×C8—521no—
623C4⋊C4—22no—
624C4⋊C4—22no—
625C4⋊C4—41no—
626C4⋊C4—41no—
627C13#1102111yescharacteristic, complemented, Sylow
628C23—22no—
629C23—22no—
630C23—22no—
631C23—42no—
632C23—42no—
633C23—41no—
634C23—41no—
635C23#8813511yescharacteristic
636C23#8813711yescharacteristic
637C23#8813911yescharacteristic
638C23#8814011yescharacteristic
639C23#8819211yescharacteristic
640C23#8819311yescharacteristic
641C23#8819311yescharacteristic
642Q8—22no—
643Q8—22no—
644Q8—41no—
645Q8—41no—
646Q8—264no—
647Q8—264no—
648Q8—522no—
649Q8—522no—
650Q8—522no—
651Q8—522no—
652Q8—522no—
653Q8—522no—
654D4—22no—
655D4—22no—
656D4—42no—
657D4—42no—
658D4—42no—
659D4—42no—
660D4—41no—
661D4—41no—
662C2×C4—22no—
663C2×C4—41no—
664C2×C4—41no—
665C2×C4—42no—
666C2×C4—42no—
667C2×C4—42no—
668C2×C4—42no—
669C2×C4—42no—
670C2×C4—82no—
671C2×C4—82no—
672C2×C4—82no—
673C2×C4—264no—
674C2×C4—522no—
675C2×C4—522no—
676C2×C4—522no—
677C2×C4—522no—
678C2×C4—522no—
679C2×C4—522no—
680C2×C4C22⋊C4×D1311yescharacteristic
681C2×C4C22⋊C4×D1311yescharacteristic
682C2×C4#8813511yescharacteristic
683C2×C4#8813611yescharacteristic
684C2×C4#8813611yescharacteristic
685C2×C4#8813611yescharacteristic
686C2×C4#8813711yescharacteristic
687C2×C4#8813811yescharacteristic
688C2×C4#8813811yescharacteristic
689C2×C4#8813811yescharacteristic
690C2×C4#8813811yescharacteristic
691C2×C4#8813911yescharacteristic
692C2×C4C2×#610311yescharacteristic
693C2×C4C4×C22⋊D1311yescharacteristic
694C2×C4C4×C22⋊D1311yescharacteristic
695C2×C4#8818311yescharacteristic
696C2×C4#8818411yescharacteristic
697C2×C4#8818411yescharacteristic
698C2×C4#8819111yescharacteristic
699C2×C4#8819111yescharacteristic
700C2×C4#8819111yescharacteristic
701C2×C4#8819111yescharacteristic
702C2×C4#8819211yescharacteristic
703C2×C4#8819311yescharacteristic
704C2×C4#8819311yescharacteristic
705C2×C4#8819411yescharacteristic
706C2×C4#8819411yescharacteristic
707C2×C4#8820711yescharacteristic
708C8—42no—
709C8—264no—
710C8—522no—
711C8—522no—
712C22—21no—
713C22—21no—
714C22—21no—
715C22—21no—
716C22—22no—
717C22—22no—
718C22—22no—
719C22—22no—
720C22—44no—
721C22—42no—
722C22—81no—
723C22—81no—
724C22—82no—
725C22#1171861711yescharacteristic
726C22#1171861811yescharacteristic
727C22#1171861911yescharacteristic
728C22#1171862011yescharacteristic
729C22#1171862211yescharacteristic
730C22#1171862211yescharacteristic
731C22#1171886112yes—
732C22#1171886512yes—
733C22#1171888411yescharacteristic
734C4—42no—
735C4—82no—
736C4—524no—
737C4#1171861611yescharacteristic
738C4#1171861711yescharacteristic
739C4#1171861811yescharacteristic
740C4#1171862011yescharacteristic
741C4#1171862111yescharacteristic
742C4#1171862111yescharacteristic
743C4#1171887411yescharacteristic
744C4#1171888411yescharacteristic
745C2—21no—
746C2—21no—
747C2—21no—
748C2—21no—
749C2—82no—
750C2#1311307511yescharacteristic
751C2#1311534912yes—
752C2#1311595011yescharacteristic
753C2#1311595411yescharacteristic
754C2#1311613312yes—
subgroupG/H
centerC23#88193
commutatorC22×C4×C13C22×C4
FrattiniC23×C4C22×D13
FittingC2×C13×#417C2
socleC23×C13#121
prime radicalC22×C13×#41C22
cosocleC23×C4×C13C23
hypercenterC2×#417D13
hypocenterC13#11021
LCSG ▷ C22×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#417

Complements

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

NH ≅ G/Ntype
2. C22×#88050C2semidirect
3. C22×#88064C2semidirect
5. C2×#11718122C2semidirect
6. C2×#11718150C2semidirect
17. C2×#88205C4semidirect
627. C13#11021semidirect

Maximal subgroups

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

subgroupindex
C22×#882052
C22×#880502
C22×#880642
C2×#117188952
C2×#117181222
C2×#117181502
C2×C13×#4172
#1102113