Finite Group Databasebeta

← C2×#19132856 #25018289

Subgroups — C2×#19132856 #25018289

Order 11008.

2638 conjugacy classes of subgroups.

The subgroup lattice has 776 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C43⋊#95C211yesmaximal, characteristic
2C22×C43⋊#95C211yesmaximal, characteristic
3C22×C43⋊#95C211yesmaximal, characteristic
4C22×C43⋊#95C211yesmaximal, characteristic
5C22×C43⋊#95C211yesmaximal, characteristic
6C22×C43⋊#95C211yesmaximal, characteristic
7#19132856C218yesmaximal, direct product factor
8C22×#95×C43C211yesmaximal, characteristic
9C24×Dic43C2211yescharacteristic
10C24×Dic43C2211yescharacteristic
11C24×Dic43C2211yescharacteristic
12C24×Dic43C2211yescharacteristic
13C2×C43⋊#95—24no—
14C2×C43⋊#95—24no—
15C2×C43⋊#95—24no—
16C2×C43⋊#95—24no—
17C2×C43⋊#95—24no—
18C2×C43⋊#95C418yescomplemented
19C2×C43⋊#95C2214yes—
20C2×C43⋊#95C2214yes—
21C2×C43⋊#95C2214yes—
22C2×C43⋊#95C2214yes—
23C2×C43⋊#95C2214yes—
24C2×C43⋊#95C2214yes—
25C24×C4×C43C2211yescharacteristic
26C24×C4×C43C2211yescharacteristic
27C24×C4×C43C2211yescharacteristic
28C2×#95×C43—24no—
29C2×#95×C43C2214yes—
30C23×Dic43—22no—
31C23×Dic43—22no—
32C23×Dic43—22no—
33C23×Dic43—22no—
34C23×Dic43—22no—
35C23×Dic43—22no—
36C23×Dic43—22no—
37C23×Dic43—22no—
38C23×Dic43—22no—
39C23×Dic43—22no—
40C23×Dic43—22no—
41C23×Dic43—22no—
42C23×Dic43—22no—
43C23×Dic43—22no—
44C23×Dic43—22no—
45C23×Dic43—22no—
46C23×Dic43—22no—
47C23×Dic43—22no—
48C23×Dic43—22no—
49C23×Dic43—22no—
50C23×Dic43—22no—
51C23×Dic43—22no—
52C23×Dic43—22no—
53C23×Dic43—22no—
54C23×Dic43C2×C414yes—
55C23×Dic43C2×C414yes—
56C23×Dic43D414yes—
57C23×Dic43D414yes—
58C23×Dic43C2312yes—
59C23×Dic43C2312yes—
60C23×Dic43C2312yes—
61C23×Dic43C2312yes—
62C43⋊#95—28no—
63C43⋊#95—28no—
64C43⋊#95—28no—
65C43⋊#95—28no—
66C43⋊#95—28no—
67C43⋊#95C2×C4116yescomplemented
68C25×C43C2311yescharacteristic
69C23×C4×C43—22no—
70C23×C4×C43—22no—
71C23×C4×C43—22no—
72C23×C4×C43—22no—
73C23×C4×C43—22no—
74C23×C4×C43—22no—
75C23×C4×C43—22no—
76C23×C4×C43—22no—
77C23×C4×C43—22no—
78C23×C4×C43—22no—
79C23×C4×C43—22no—
80C23×C4×C43—22no—
81C23×C4×C43—22no—
82C23×C4×C43—22no—
83C23×C4×C43—22no—
84C23×C4×C43—22no—
85C23×C4×C43—22no—
86C23×C4×C43—22no—
87C23×C4×C43C2×C414yes—
88C23×C4×C43D414yes—
89C23×C4×C43Q814yes—
90C23×C4×C43C2312yes—
91C23×C4×C43C2312yes—
92C23×C4×C43C2312yes—
93#95×C43—28no—
94C24×C43C22×C412yes—
95C24×C43C2×D412yes—
96C24×C43C2×D412yes—
97C24×C43C2×D412yes—
98C24×C43C2×Q812yes—
99C24×C43#4112yes—
100C24×C43#4112yes—
101C24×C43#4112yes—
102C24×C43#4112yes—
103C24×C43#4112yes—
104C24×C43#4112yes—
105C24×C43#4112yes—
106C24×C43#4112yes—
107C24×C43#4112yes—
108C24×C43#4112yes—
109C24×C43C2411yescharacteristic
110C22×C4×C43—28no—
111C22×C4×C43—28no—
112C22×C4×C43—28no—
113C22×C4×C43—28no—
114C22×C4×C43—28no—
115C22×C4×C43—28no—
116C22×C4×C43—28no—
117C22×C4×C43—28no—
118C22×C4×C43—28no—
119C22×C4×C43—22no—
120C22×C4×C43—22no—
121C22×C4×C43—22no—
122C22×C4×C43—22no—
123C22×C4×C43—22no—
124C22×C4×C43—22no—
125C22×C4×C43—22no—
126C22×C4×C43—22no—
127C22×C4×C43—22no—
128C22×C4×C43—22no—
129C22×C4×C43—22no—
130C22×C4×C43—22no—
131C22×C4×C43—22no—
132C22×C4×C43—22no—
133C22×C4×C43—22no—
134C22×C4×C43—22no—
135C22×C4×C43—22no—
136C22×C4×C43—22no—
137C22×C4×C43—44no—
138C22×C4×C43—44no—
139C22×C4×C43—44no—
140C22×C4×C43—44no—
141C22×C4×C43—44no—
142C22×C4×C43—44no—
143C22×C4×C43—44no—
144C22×C4×C43—44no—
145C22×C4×C43—44no—
146C22×C4×C43—44no—
147C22×C4×C43—44no—
148C22×C4×C43—44no—
149C22×C4×C43C22×C414yes—
150C22×C4×C43C2×D414yes—
151C22×C4×C43C2×Q814yes—
152C22×Dic43—28no—
153C22×Dic43—28no—
154C22×Dic43—28no—
155C22×Dic43—28no—
156C22×Dic43—28no—
157C22×Dic43—28no—
158C22×Dic43—28no—
159C22×Dic43—28no—
160C22×Dic43—28no—
161C22×Dic43—28no—
162C22×Dic43—28no—
163C22×Dic43—28no—
164C22×Dic43—22no—
165C22×Dic43—22no—
166C22×Dic43—22no—
167C22×Dic43—22no—
168C22×Dic43—22no—
169C22×Dic43—22no—
170C22×Dic43—22no—
171C22×Dic43—22no—
172C22×Dic43—22no—
173C22×Dic43—22no—
174C22×Dic43—22no—
175C22×Dic43—22no—
176C22×Dic43—22no—
177C22×Dic43—22no—
178C22×Dic43—22no—
179C22×Dic43—22no—
180C22×Dic43—22no—
181C22×Dic43—22no—
182C22×Dic43—22no—
183C22×Dic43—22no—
184C22×Dic43—22no—
185C22×Dic43—22no—
186C22×Dic43—22no—
187C22×Dic43—22no—
188C22×Dic43—44no—
189C22×Dic43—44no—
190C22×Dic43—44no—
191C22×Dic43—44no—
192C22×Dic43—44no—
193C22×Dic43—44no—
194C22×Dic43—44no—
195C22×Dic43—44no—
196C22×Dic43—44no—
197C22×Dic43—44no—
198C22×Dic43—44no—
199C22×Dic43—44no—
200C22×Dic43—44no—
201C22×Dic43—44no—
202C22×Dic43—44no—
203C22×Dic43—44no—
204C22×Dic43C22×C414yes—
205C22×Dic43C22×C414yes—
206C22×Dic43C2×D414yes—
207C22×Dic43C2×D414yes—
208C23×C43#11714yes—
209C23×C43#11714yes—
210C23×C43#11714yes—
211C23×C43C4×D414yes—
212C23×C43C4×D414yes—
213C23×C43C4×D414yes—
214C23×C43C4×Q814yes—
215C23×C43#12114yes—
216C23×C43#12114yes—
217C23×C43#12114yes—
218C23×C43C22⋊Q814yes—
219C23×C43C22⋊Q814yes—
220C23×C43C22⋊Q814yes—
221C23×C43#12314yes—
222C23×C43#12314yes—
223C23×C43#12314yes—
224C23×C43#12314yes—
225C23×C43#12314yes—
226C23×C43#12314yes—
227C23×C43#12414yes—
228C23×C43#12414yes—
229C23×C43#12414yes—
230C23×C43#12514yes—
231C23×C43#12514yes—
232C23×C43#12514yes—
233C23×C43#12614yes—
234C23×C43#12614yes—
235C23×C43#12614yes—
236C23×C43#12614yes—
237C23×C43#12614yes—
238C23×C43#12614yes—
239C23×C43#12614yes—
240C23×C43#12614yes—
241C23×C43#12614yes—
242C23×C43#12614yes—
243C23×C43C23×C411yescharacteristic
244C23×C43C22×D411yescharacteristic
245C23×C43C22×D411yescharacteristic
246C23×C43C22×D411yescharacteristic
247C23×C43C22×Q811yescharacteristic
248C23×C43C2×#4111yescharacteristic
249C23×C43C2×#4111yescharacteristic
250C23×C43C2×#4111yescharacteristic
251C23×C43C2×#4111yescharacteristic
252C23×C43C2×#4111yescharacteristic
253C23×C43C2×#4111yescharacteristic
254C23×C43C2×#4111yescharacteristic
255C23×C43C2×#4111yescharacteristic
256C23×C43C2×#4111yescharacteristic
257C23×C43C2×#4111yescharacteristic
258C2×C4×C43—24no—
259C2×C4×C43—24no—
260C2×C4×C43—24no—
261C2×C4×C43—24no—
262C2×C4×C43—24no—
263C2×C4×C43—24no—
264C2×C4×C43—24no—
265C2×C4×C43—24no—
266C2×C4×C43—24no—
267C2×C4×C43—42no—
268C2×C4×C43—42no—
269C2×C4×C43—42no—
270C2×C4×C43—42no—
271C2×C4×C43—42no—
272C2×C4×C43—42no—
273C2×C4×C43—42no—
274C2×C4×C43—42no—
275C2×C4×C43—42no—
276C2×C4×C43—42no—
277C2×C4×C43—42no—
278C2×C4×C43—42no—
279C2×C4×C43—416no—
280C2×C4×C43—416no—
281C2×C4×C43—416no—
282C2×Dic43—24no—
283C2×Dic43—24no—
284C2×Dic43—24no—
285C2×Dic43—24no—
286C2×Dic43—24no—
287C2×Dic43—24no—
288C2×Dic43—24no—
289C2×Dic43—24no—
290C2×Dic43—24no—
291C2×Dic43—24no—
292C2×Dic43—24no—
293C2×Dic43—24no—
294C2×Dic43—42no—
295C2×Dic43—42no—
296C2×Dic43—42no—
297C2×Dic43—42no—
298C2×Dic43—42no—
299C2×Dic43—42no—
300C2×Dic43—42no—
301C2×Dic43—42no—
302C2×Dic43—42no—
303C2×Dic43—42no—
304C2×Dic43—42no—
305C2×Dic43—42no—
306C2×Dic43—42no—
307C2×Dic43—42no—
308C2×Dic43—42no—
309C2×Dic43—42no—
310C2×Dic43—416no—
311C2×Dic43—416no—
312C2×Dic43—416no—
313C2×Dic43—416no—
314C2×#1443—431nomaximal, Sylow
315C22×C43#38318yes—
316C22×C43#38718yes—
317C22×C43#38718yes—
318C22×C43#38718yes—
319C22×C43#38818yes—
320C22×C43#38818yes—
321C22×C43#38818yes—
322C22×C43#39618yes—
323C22×C43#39718yes—
324C22×C43#39718yes—
325C22×C43#39718yes—
326C22×C43#40018yes—
327C22×C43#40018yes—
328C22×C43#40018yes—
329C22×C43#40118yes—
330C22×C43C2×#11711yescharacteristic
331C22×C43C2×#11711yescharacteristic
332C22×C43C2×#11711yescharacteristic
333C22×C43C2×C4×D411yescharacteristic
334C22×C43C2×C4×D411yescharacteristic
335C22×C43C2×C4×D411yescharacteristic
336C22×C43C2×C4×Q811yescharacteristic
337C22×C43C2×#12111yescharacteristic
338C22×C43C2×#12111yescharacteristic
339C22×C43C2×#12111yescharacteristic
340C22×C43C2×C22⋊Q811yescharacteristic
341C22×C43C2×C22⋊Q811yescharacteristic
342C22×C43C2×C22⋊Q811yescharacteristic
343C22×C43C2×#12311yescharacteristic
344C22×C43C2×#12311yescharacteristic
345C22×C43C2×#12311yescharacteristic
346C22×C43C2×#12311yescharacteristic
347C22×C43C2×#12311yescharacteristic
348C22×C43C2×#12311yescharacteristic
349C22×C43C2×#12411yescharacteristic
350C22×C43C2×#12411yescharacteristic
351C22×C43C2×#12411yescharacteristic
352C22×C43C2×#12511yescharacteristic
353C22×C43C2×#12511yescharacteristic
354C22×C43C2×#12511yescharacteristic
355C22×C43C2×#12611yescharacteristic
356C22×C43C2×#12611yescharacteristic
357C22×C43C2×#12611yescharacteristic
358C22×C43C2×#12611yescharacteristic
359C22×C43C2×#12611yescharacteristic
360C22×C43C2×#12611yescharacteristic
361C22×C43C2×#12611yescharacteristic
362C22×C43C2×#12611yescharacteristic
363C22×C43C2×#12611yescharacteristic
364C22×C43C2×#12611yescharacteristic
365C4×C43—44no—
366C4×C43—44no—
367C4×C43—44no—
368Dic43—44no—
369Dic43—44no—
370Dic43—44no—
371Dic43—44no—
372C22×#95—431no—
373C22×#95—431no—
374C22×#95—431no—
375C22×#95—431no—
376C22×#95—431no—
377C22×#95—431no—
378C22×#95D4311yescharacteristic
379#1443—438no—
380C2×C43#1443116yescomplemented
381C2×C43C2×#38311yescharacteristic
382C2×C43C2×#38711yescharacteristic
383C2×C43C2×#38711yescharacteristic
384C2×C43C2×#38711yescharacteristic
385C2×C43C2×#38811yescharacteristic
386C2×C43C2×#38811yescharacteristic
387C2×C43C2×#38811yescharacteristic
388C2×C43C2×#39611yescharacteristic
389C2×C43C2×#39711yescharacteristic
390C2×C43C2×#39711yescharacteristic
391C2×C43C2×#39711yescharacteristic
392C2×C43C2×#40011yescharacteristic
393C2×C43C2×#40011yescharacteristic
394C2×C43C2×#40011yescharacteristic
395C2×C43C2×#40111yescharacteristic
396C24×C4—431no—
397C24×C4—431no—
398C24×C4—431no—
399C24×C4—431no—
400C24×C4C2×D4311yescharacteristic
401C24×C4C2×D4311yescharacteristic
402C24×C4C2×D4311yescharacteristic
403C2×#95—24no—
404C2×#95—434no—
405C2×#95—438no—
406C2×#95—434no—
407C2×#95—434no—
408C2×#95—434no—
409C2×#95—434no—
410C2×#95—434no—
411C2×#95—864no—
412C2×#95—864no—
413C2×#95—864no—
414C2×#95—864no—
415C2×#95—864no—
416C2×#95C2×D4314yes—
417C43C2×#144311yescharacteristic, complemented, Sylow
418C25C22×D4311yescharacteristic
419C23×C4—22no—
420C23×C4—22no—
421C23×C4—22no—
422C23×C4—22no—
423C23×C4—22no—
424C23×C4—22no—
425C23×C4—22no—
426C23×C4—22no—
427C23×C4—22no—
428C23×C4—22no—
429C23×C4—22no—
430C23×C4—22no—
431C23×C4—22no—
432C23×C4—22no—
433C23×C4—22no—
434C23×C4—22no—
435C23×C4—22no—
436C23×C4—22no—
437C23×C4—434no—
438C23×C4—434no—
439C23×C4—434no—
440C23×C4—434no—
441C23×C4—432no—
442C23×C4—432no—
443C23×C4—432no—
444C23×C4—432no—
445C23×C4—862no—
446C23×C4—862no—
447C23×C4—862no—
448C23×C4—862no—
449C23×C4—862no—
450C23×C4—862no—
451C23×C4—862no—
452C23×C4—862no—
453C23×C4—862no—
454C23×C4—862no—
455C23×C4—862no—
456C23×C4—862no—
457C23×C4—862no—
458C23×C4—862no—
459C23×C4—862no—
460C23×C4—862no—
461C23×C4—862no—
462C23×C4—862no—
463C23×C4—862no—
464C23×C4—862no—
465C23×C4—862no—
466C23×C4—862no—
467C23×C4—862no—
468C23×C4—862no—
469C23×C4Dic8614yes—
470C23×C4C4×D4314yes—
471C23×C4C22⋊D4314yes—
472C23×C4C22×D4312yes—
473C23×C4C22×D4312yes—
474C23×C4C22×D4312yes—
475#95—28no—
476#95—4316no—
477#95—868no—
478#95—868no—
479#95—868no—
480#95—868no—
481#95—868no—
482C24C2×Dic8612yes—
483C24C2×C4×D4312yes—
484C24#1062189812yes—
485C24#1062189812yes—
486C24#1062189812yes—
487C24#1062189812yes—
488C24D4×D4312yes—
489C24D4×D4312yes—
490C24#1062190012yes—
491C24#1062190012yes—
492C24#1062190012yes—
493C24#1062190012yes—
494C24#1062190212yes—
495C24#1062190212yes—
496C24C2×C22⋊D4312yes—
497C24C23×D4311yescharacteristic
498C22×C4—28no—
499C22×C4—28no—
500C22×C4—28no—
501C22×C4—28no—
502C22×C4—28no—
503C22×C4—28no—
504C22×C4—28no—
505C22×C4—28no—
506C22×C4—28no—
507C22×C4—22no—
508C22×C4—22no—
509C22×C4—22no—
510C22×C4—22no—
511C22×C4—22no—
512C22×C4—22no—
513C22×C4—22no—
514C22×C4—22no—
515C22×C4—22no—
516C22×C4—22no—
517C22×C4—22no—
518C22×C4—22no—
519C22×C4—22no—
520C22×C4—22no—
521C22×C4—22no—
522C22×C4—22no—
523C22×C4—22no—
524C22×C4—22no—
525C22×C4—44no—
526C22×C4—44no—
527C22×C4—44no—
528C22×C4—44no—
529C22×C4—44no—
530C22×C4—44no—
531C22×C4—44no—
532C22×C4—44no—
533C22×C4—44no—
534C22×C4—44no—
535C22×C4—44no—
536C22×C4—44no—
537C22×C4—434no—
538C22×C4—434no—
539C22×C4—434no—
540C22×C4—434no—
541C22×C4—868no—
542C22×C4—868no—
543C22×C4—868no—
544C22×C4—868no—
545C22×C4—868no—
546C22×C4—868no—
547C22×C4—868no—
548C22×C4—868no—
549C22×C4—868no—
550C22×C4—868no—
551C22×C4—868no—
552C22×C4—868no—
553C22×C4—862no—
554C22×C4—862no—
555C22×C4—862no—
556C22×C4—862no—
557C22×C4—862no—
558C22×C4—862no—
559C22×C4—862no—
560C22×C4—862no—
561C22×C4—862no—
562C22×C4—862no—
563C22×C4—862no—
564C22×C4—862no—
565C22×C4—862no—
566C22×C4—862no—
567C22×C4—862no—
568C22×C4—862no—
569C22×C4—862no—
570C22×C4—862no—
571C22×C4—862no—
572C22×C4—862no—
573C22×C4—862no—
574C22×C4—862no—
575C22×C4—862no—
576C22×C4—862no—
577C22×C4—1724no—
578C22×C4—1724no—
579C22×C4—1724no—
580C22×C4—1724no—
581C22×C4—1724no—
582C22×C4—1724no—
583C22×C4—1724no—
584C22×C4—1724no—
585C22×C4—1724no—
586C22×C4—1724no—
587C22×C4—1724no—
588C22×C4—1724no—
589C22×C4—1724no—
590C22×C4—1724no—
591C22×C4—1724no—
592C22×C4—1724no—
593C22×C4C2×Dic8614yes—
594C22×C4C2×C4×D4314yes—
595C22×C4C2×C22⋊D4314yes—
596C23#1306328114yes—
597C23#1306328214yes—
598C23#1306328314yes—
599C23(C22⋊D43)⋊C414yes—
600C23C4×C22⋊D4314yes—
601C23#1306328714yes—
602C23C4×Dic8614yes—
603C23#1306329614yes—
604C23#1306329714yes—
605C23#1306329814yes—
606C23#1306330214yes—
607C23#1306330214yes—
608C23#1306330414yes—
609C23#1306330614yes—
610C23#1306330714yes—
611C23#1306330814yes—
612C23#1306331014yes—
613C23#1306331014yes—
614C23#1306331014yes—
615C23#1306331114yes—
616C23#1306331114yes—
617C23#1306331414yes—
618C23#1306331614yes—
619C23#1306331614yes—
620C23#1306331714yes—
621C23#1306331814yes—
622C23#1306331814yes—
623C23#1306331814yes—
624C23#1306331814yes—
625C23#1306331914yes—
626C23#1306332014yes—
627C23#1306332014yes—
628C23#1306332014yes—
629C23#1306332014yes—
630C23#1306332014yes—
631C23C22×C4×D4311yescharacteristic
632C23C2×D4×D4311yescharacteristic
633C23C2×D4×D4311yescharacteristic
634C23C22×C22⋊D4311yescharacteristic
635C23C22×Dic8611yescharacteristic
636C23C2×#1062190011yescharacteristic
637C23C2×#1062190011yescharacteristic
638C23C2×#1062190011yescharacteristic
639C23C2×#1062190011yescharacteristic
640C23C2×#1062189811yescharacteristic
641C23C2×#1062189811yescharacteristic
642C23C2×#1062189811yescharacteristic
643C23C2×#1062189811yescharacteristic
644C23C2×#1062190211yescharacteristic
645C23C2×#1062190211yescharacteristic
646C2×C4—24no—
647C2×C4—24no—
648C2×C4—24no—
649C2×C4—24no—
650C2×C4—24no—
651C2×C4—24no—
652C2×C4—24no—
653C2×C4—24no—
654C2×C4—24no—
655C2×C4—416no—
656C2×C4—416no—
657C2×C4—416no—
658C2×C4—42no—
659C2×C4—42no—
660C2×C4—42no—
661C2×C4—42no—
662C2×C4—42no—
663C2×C4—42no—
664C2×C4—42no—
665C2×C4—42no—
666C2×C4—42no—
667C2×C4—42no—
668C2×C4—42no—
669C2×C4—42no—
670C2×C4—864no—
671C2×C4—864no—
672C2×C4—864no—
673C2×C4—864no—
674C2×C4—864no—
675C2×C4—864no—
676C2×C4—864no—
677C2×C4—864no—
678C2×C4—864no—
679C2×C4—864no—
680C2×C4—864no—
681C2×C4—864no—
682C2×C4—17216no—
683C2×C4—17216no—
684C2×C4—17216no—
685C2×C4—17216no—
686C2×C4—1722no—
687C2×C4—1722no—
688C2×C4—1722no—
689C2×C4—1722no—
690C2×C4—1722no—
691C2×C4—1722no—
692C2×C4—1722no—
693C2×C4—1722no—
694C2×C4—1722no—
695C2×C4—1722no—
696C2×C4—1722no—
697C2×C4—1722no—
698C2×C4—1722no—
699C2×C4—1722no—
700C2×C4—1722no—
701C2×C4—1722no—
702C22#1458276618yes—
703C22#1458278218yes—
704C22#1458278318yes—
705C22#1458278618yes—
706C22#1458278718yes—
707C22#1458278818yes—
708C22#1458278918yes—
709C22#1458282218yes—
710C22#1458282518yes—
711C22#1458282718yes—
712C22#1458282818yes—
713C22#1458283818yes—
714C22#1458284118yes—
715C22#1458284118yes—
716C22C43⋊#40118yes—
717C22C2×#1306328111yescharacteristic
718C22C2×#1306328211yescharacteristic
719C22C2×#1306328311yescharacteristic
720C22C2×(C22⋊D43)⋊C411yescharacteristic
721C22C2×C4×C22⋊D4311yescharacteristic
722C22C2×#1306328711yescharacteristic
723C22C2×C4×Dic8611yescharacteristic
724C22C2×#1306329611yescharacteristic
725C22C2×#1306329711yescharacteristic
726C22C2×#1306329811yescharacteristic
727C22C2×#1306330211yescharacteristic
728C22C2×#1306330211yescharacteristic
729C22C2×#1306330411yescharacteristic
730C22C2×#1306330611yescharacteristic
731C22C2×#1306330711yescharacteristic
732C22C2×#1306330811yescharacteristic
733C22C2×#1306331011yescharacteristic
734C22C2×#1306331011yescharacteristic
735C22C2×#1306331011yescharacteristic
736C22C2×#1306331111yescharacteristic
737C22C2×#1306331111yescharacteristic
738C22C2×#1306331411yescharacteristic
739C22C2×#1306331611yescharacteristic
740C22C2×#1306331611yescharacteristic
741C22C2×#1306331711yescharacteristic
742C22C2×#1306331811yescharacteristic
743C22C2×#1306331811yescharacteristic
744C22C2×#1306331811yescharacteristic
745C22C2×#1306331811yescharacteristic
746C22C2×#1306331911yescharacteristic
747C22C2×#1306332011yescharacteristic
748C22C2×#1306332011yescharacteristic
749C22C2×#1306332011yescharacteristic
750C22C2×#1306332011yescharacteristic
751C22C2×#1306332011yescharacteristic
752C4—44no—
753C4—44no—
754C4—44no—
755C4—1724no—
756C4—1724no—
757C4—1724no—
758C4—1724no—
759C2#19132856116yesdirect product factor
760C2C2×#1458276611yescharacteristic
761C2C2×#1458278211yescharacteristic
762C2C2×#1458278311yescharacteristic
763C2C2×#1458278611yescharacteristic
764C2C2×#1458278711yescharacteristic
765C2C2×#1458278811yescharacteristic
766C2C2×#1458278911yescharacteristic
767C2C2×#1458282211yescharacteristic
768C2C2×#1458282511yescharacteristic
769C2C2×#1458282711yescharacteristic
770C2C2×#1458282811yescharacteristic
771C2C2×#1458283811yescharacteristic
772C2C2×#1458284111yescharacteristic
773C2C2×#1458284111yescharacteristic
774C2C2×C43⋊#40111yescharacteristic
subgroupG/H
centerC25C22×D43
commutatorC23×C43C23×C4
FrattiniC24C23×D43
FittingC22×#95×C43C2
socle, prime radicalC25×C43C23
cosocleC24×C43C24
hypercenterC22×#95D43
hypocenterC43C2×#1443
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C25 ◁ C22×#95

Complements

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

NH ≅ G/Ntype
7. #19132856C2direct (N × H)
18. C2×C43⋊#95C4semidirect
67. C43⋊#95C2×C4semidirect
380. C2×C43#1443semidirect
417. C43C2×#1443semidirect
759. C2#19132856direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C43⋊#952
#191328562
C22×#95×C432
C2×#144343