Finite Group Databasebeta

← #25003175

Subgroups — #25003175

Order 11008.

1270 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×#14583473C211yesmaximal, characteristic
2C2×#14582908C211yesmaximal, characteristic, complemented
3C2×#14582881C211yesmaximal, characteristic
4C2×#14582872C211yesmaximal, characteristic
5#19134306C211yesmaximal, characteristic, complemented
6#19134305C211yesmaximal, characteristic, complemented
7C2×C43×#419C211yesmaximal, characteristic, complemented
8C22×#10621898C2211yescharacteristic
9C22×#10621877C2211yescharacteristic
10#14583473—22no—
11#14583473—22no—
12#14583473—22no—
13#14583473—22no—
14C2×#13063323—21no—
15C2×#13063314—21no—
16C2×#13063308—22no—
17C2×#13063301C414yescomplemented
18C2×#13063284C2211yescharacteristic
19C2×#13063284C2211yescharacteristic
20#14582908—22no—
21#14582908—22no—
22C2×#13063249—22no—
23#14582881—22no—
24#14582881—22no—
25C2×#13063243—21no—
26C2×#13063241—21no—
27#14582872—22no—
28#14582872—22no—
29C2×#13063239—22no—
30#14582660—22no—
31#14582659—22no—
32C23×Q8×C43C2211yescharacteristic
33C22×M16×C43C2211yescharacteristic
34C2×#117×C43C2211yescharacteristic
35C43×#419—22no—
36C43×#419—22no—
37C2×#103×C43—22no—
38C2×#10621898—21no—
39C2×#10621898—21no—
40C2×#10621898—21no—
41C2×#10621898—21no—
42C2×#10621898—21no—
43C2×#10621898—21no—
44C2×#10621898—21no—
45C2×#10621898—21no—
46C2×#10621898—21no—
47C2×#10621898—21no—
48C2×#10621898—21no—
49C2×#10621898—21no—
50C22×Dic86D411yescharacteristic
51C22×D172D411yescharacteristic
52C22×C22⋊D43D412yes—
53C22×C4×D43C2×C412yes—
54C2×#10621877—21no—
55C2×#10621877—21no—
56C2×#10621877—21no—
57C2×#10621877—21no—
58C2×#10621877—21no—
59C2×#10621877D412yes—
60C22×C43⋊C8—21no—
61#13063323—24no—
62#13063323—24no—
63#13063314—24no—
64#13063314—24no—
65#13063308—28no—
66#13063308—28no—
67#13063301—28no—
68#13063301—28no—
69#13063284—21no—
70#13063284—21no—
71#13063284—21no—
72#13063284—21no—
73#13063284—21no—
74#13063284D412yes—
75#13063284D412yes—
76#13063284D412yes—
77C2×C4⋊Dic43—21no—
78C2×C4⋊Dic43C2×C412yes—
79C2×Dic43⋊C4—24no—
80C2×C22⋊Dic43—21no—
81C2×C22⋊Dic43—21no—
82C2×(C2×D43)⋊C4—24no—
83C2×C4×Dic43—21no—
84C2×C4×Dic43—21no—
85#13063249—28no—
86#13063243—24no—
87#13063241—24no—
88#13063239—28no—
89C22×Q8×C43—21no—
90C22×Q8×C43—21no—
91C22×Q8×C43—21no—
92C22×Q8×C43—21no—
93C22×Q8×C43—21no—
94C22×Q8×C43—21no—
95C22×Q8×C43—21no—
96C22×Q8×C43—21no—
97C22×Q8×C43—21no—
98C22×Q8×C43—21no—
99C22×Q8×C43—21no—
100C22×Q8×C43C2×C412yes—
101C22×Q8×C43D412yes—
102C22×Q8×C43D412yes—
103C23×C4×C43—21no—
104C23×C4×C43C2311yescharacteristic
105C2×M16×C43—21no—
106C2×M16×C43—21no—
107C2×M16×C43—21no—
108C2×M16×C43—21no—
109C2×M16×C43—21no—
110C2×M16×C43D412yes—
111C22×C8×C43—21no—
112#117×C43—21no—
113#117×C43—21no—
114#117×C43—21no—
115#117×C43D412yes—
116C2×C4⋊C4×C43—21no—
117C2×C22⋊C4×C43—21no—
118C2×C42×C43—21no—
119#103×C43—28no—
120C24×C43C2×D411yescharacteristic
121C23×D43C22⋊C412yes—
122C2×Q8×C43—22no—
123C2×Q8×C43—22no—
124C2×Q8×C43—22no—
125C2×Q8×C43—22no—
126C2×Q8×C43—22no—
127C2×Q8×C43—22no—
128C2×Q8×C43—22no—
129C2×Q8×C43—22no—
130C2×Q8×C43—22no—
131C2×Q8×C43—22no—
132C2×Q8×C43—22no—
133C2×Q8×C43—22no—
134C2×Q8×C43—22no—
135C2×Q8×C43—22no—
136C2×Q8×C43—22no—
137C2×Q8×C43—41no—
138C2×Q8×C43—41no—
139C2×Q8×C43—41no—
140C2×Q8×C43—41no—
141C2×Q8×C43—41no—
142C2×Q8×C43—41no—
143C2×Q8×C43—41no—
144C2×Q8×C43—41no—
145C2×Q8×C43—41no—
146C2×Q8×C43—41no—
147C2×Q8×C43—41no—
148C2×Q8×C43—41no—
149C2×Q8×C43C22⋊C414yes—
150C22×C4×C43—22no—
151C22×C4×C43—22no—
152C22×C4×C43—22no—
153C22×C4×C43—41no—
154C22×C4×C43—41no—
155C22×C4×C43—41no—
156C22×C4×C43—41no—
157C22×C4×C43—41no—
158C22×C4×C43C22×C411yescharacteristic
159C22×C4×C43C2×D411yescharacteristic
160C22×C4×C43C2×D411yescharacteristic
161C22×C4×C43C2×D411yescharacteristic
162C22×C4×C43C2×D411yescharacteristic
163C22×C4×C43C2×D411yescharacteristic
164C22×C4×C43C2×D411yescharacteristic
165C22×C4×C43C2×D411yescharacteristic
166C22×C4×C43C2×D411yescharacteristic
167C22×C4×C43C2×D411yescharacteristic
168C22×C4×C43#4111yescharacteristic
169C22×C4×C43#4111yescharacteristic
170C22×C4×C43#4111yescharacteristic
171C22×C4×C43#4111yescharacteristic
172C2×C22⋊D43—22no—
173C2×C22⋊D43—22no—
174C2×C22⋊D43—22no—
175C2×C22⋊D43—22no—
176C2×C22⋊D43—22no—
177C2×C22⋊D43—22no—
178C22×Dic43—22no—
179C22×Dic43—41no—
180C22×Dic43C22⋊C412yes—
181#10621898—41no—
182#10621898—41no—
183#10621898—41no—
184#10621898—41no—
185#10621898—41no—
186#10621898—41no—
187#10621898—41no—
188#10621898—41no—
189#10621898—41no—
190#10621898—41no—
191#10621898—41no—
192#10621898—41no—
193#10621898—41no—
194#10621898—41no—
195#10621898—41no—
196#10621898—41no—
197C2×D172—21no—
198C2×D172—21no—
199C2×D172—21no—
200C2×D172—21no—
201C2×D172—21no—
202C2×D172—21no—
203C2×C4×D43—22no—
204C2×C4×D43—22no—
205C2×C4×D43—22no—
206C2×C4×D43—22no—
207C2×C4×D43—22no—
208C2×C4×D43—22no—
209C2×Dic86—21no—
210C2×Dic86—21no—
211C2×Dic86—21no—
212C2×Dic86—21no—
213C2×Dic86—21no—
214C2×Dic86—21no—
215M16×C43—22no—
216M16×C43—22no—
217M16×C43—41no—
218M16×C43—41no—
219C2×C8×C43—22no—
220C2×C8×C43—41no—
221C2×C8×C43—41no—
222C4⋊C4×C43—22no—
223C4⋊C4×C43—41no—
224C22⋊C4×C43—22no—
225C22⋊C4×C43—41no—
226C42×C43—22no—
227C42×C43—41no—
228C22⋊Dic43—22no—
229C22⋊Dic43—22no—
230C22⋊Dic43—22no—
231C22⋊Dic43—41no—
232(C2×D43)⋊C4—216no—
233C4⋊Dic43—22no—
234C4⋊Dic43—22no—
235C4⋊Dic43—41no—
236C4⋊Dic43C22⋊C414yes—
237Dic43⋊C4—216no—
238C4×Dic43—22no—
239C4×Dic43—22no—
240C4×Dic43—22no—
241C4×Dic43—41no—
242#10621877—22no—
243#10621877—22no—
244#10621877—41no—
245#10621877—41no—
246C2×C43⋊C8—22no—
247C2×C43⋊C8—41no—
248C2×C43⋊C8—41no—
249C23×C43—42no—
250C23×C43C2×C22⋊C411yescharacteristic
251C23×C43#12011yescharacteristic
252C23×C43#12011yescharacteristic
253C23×C43#12011yescharacteristic
254C23×C43#12111yescharacteristic
255C23×C43#12111yescharacteristic
256C23×C43#12311yescharacteristic
257C22×D43—22no—
258C22×D43—22no—
259C22×D43—22no—
260C22×D43—44no—
261Q8×C43—24no—
262Q8×C43—24no—
263Q8×C43—42no—
264Q8×C43—42no—
265Q8×C43—42no—
266Q8×C43—42no—
267Q8×C43—42no—
268Q8×C43—42no—
269C2×C4×C43—24no—
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—82no—
278C2×C4×C43C2×C22⋊C411yescharacteristic
279C2×C4×C43C2×C22⋊C411yescharacteristic
280C2×C4×C43C4×D411yescharacteristic
281C2×C4×C43C4×D411yescharacteristic
282C2×C4×C43C4×D411yescharacteristic
283C2×C4×C43C4×D411yescharacteristic
284C2×C4×C43#12011yescharacteristic
285C2×C4×C43#12011yescharacteristic
286C2×C4×C43#12011yescharacteristic
287C2×C4×C43#12011yescharacteristic
288C2×C4×C43#12011yescharacteristic
289C2×C4×C43#12111yescharacteristic
290C2×C4×C43#12111yescharacteristic
291C2×C4×C43#12111yescharacteristic
292C2×C4×C43#12111yescharacteristic
293C2×C4×C43#12111yescharacteristic
294C2×C4×C43#12111yescharacteristic
295C2×C4×C43#12111yescharacteristic
296C2×C4×C43#12111yescharacteristic
297C2×C4×C43#12111yescharacteristic
298C2×C4×C43#12111yescharacteristic
299C2×C4×C43#12311yescharacteristic
300C2×C4×C43#12311yescharacteristic
301C2×C4×C43#12311yescharacteristic
302C2×C4×C43#12411yescharacteristic
303C2×C4×C43#12411yescharacteristic
304C2×C4×C43#12711yescharacteristic
305C2×C4×C43#12711yescharacteristic
306C22⋊D43—42no—
307C22⋊D43—42no—
308C22⋊D43—42no—
309C22⋊D43—42no—
310C2×Dic43—24no—
311C2×Dic43—22no—
312C2×Dic43—22no—
313C2×Dic43—22no—
314C2×Dic43—44no—
315C2×Dic43—42no—
316C2×Dic43—82no—
317D172—41no—
318D172—41no—
319D172—41no—
320D172—41no—
321C4×D43—42no—
322C4×D43—42no—
323C4×D43—42no—
324C4×D43—42no—
325Dic86—41no—
326Dic86—41no—
327Dic86—41no—
328Dic86—41no—
329C8×C43—42no—
330C43⋊C8—42no—
331#10985—431nomaximal, Sylow
332C22×C43—22no—
333C22×C43—22no—
334C22×C43—22no—
335C22×C43—41no—
336C22×C43—41no—
337C22×C43—41no—
338C22×C43—41no—
339C22×C43#37911yescharacteristic
340C22×C43#38611yescharacteristic
341C22×C43#38611yescharacteristic
342C22×C43#39211yescharacteristic
343C22×C43#39211yescharacteristic
344C22×C43#39411yescharacteristic
345C22×C43#39411yescharacteristic
346C2×D43—44no—
347C2×D43—42no—
348C2×D43—82no—
349C2×D43—82no—
350C4×C43—44no—
351C4×C43—82no—
352C4×C43#38611yescharacteristic
353C4×C43#38611yescharacteristic
354C4×C43#39011yescharacteristic
355C4×C43#39011yescharacteristic
356C4×C43#39211yescharacteristic
357C4×C43#39211yescharacteristic
358C4×C43#39411yescharacteristic
359C4×C43#39411yescharacteristic
360Dic43—44no—
361Dic43—42no—
362Dic43—82no—
363C2×#536—431no—
364C2×#419—431no—
365C2×#419D4311yescharacteristic, complemented
366C2×#413—431no—
367C2×#410—431no—
368#1733—431no—
369#1733—431no—
370C2×C43—21no—
371C2×C43—21no—
372C2×C43—21no—
373C2×C43—21no—
374C2×C43—21no—
375C2×C43—21no—
376C2×C43#143811yescharacteristic
377C2×C43#179612yes—
378D43—82no—
379C22×#41—431no—
380C23×Q8C2×D4311yescharacteristic
381C22×M16—431no—
382C22×M16C2×D4311yescharacteristic
383#536—862no—
384#536—862no—
385#536—862no—
386#536—862no—
387C2×C4⋊Q8—861no—
388C2×#124—861no—
389C2×#123—862no—
390C2×C22⋊Q8—434no—
391C2×#117—431no—
392C2×#117—431no—
393C2×#117C2×D4311yescharacteristic
394#419—22no—
395#419—22no—
396#419—862no—
397#419—862no—
398C2×#103—22no—
399C2×#103—862no—
400#413—862no—
401#413—862no—
402C2×#101—861no—
403C2×#100—861no—
404#410—862no—
405#410—862no—
406C2×#99—862no—
407#339—862no—
408#339—862no—
409C43#1098511yescharacteristic, complemented, Sylow
410C2×#41—861no—
411C2×#41—861no—
412C2×#41—861no—
413C2×#41—861no—
414C2×#41—861no—
415C2×#41—861no—
416C2×#41—861no—
417C2×#41—861no—
418C2×#41—861no—
419C2×#41—861no—
420C2×#41—861no—
421C2×#41—861no—
422C22×Q8—21no—
423C22×Q8—21no—
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—431no—
434C22×Q8C4×D4312yes—
435C22×Q8D17212yes—
436C22×Q8C22⋊D4312yes—
437C22×D4—432no—
438C22×D4—431no—
439C23×C4—21no—
440C23×C4—432no—
441C23×C4C22×D4311yescharacteristic
442C2×M16—21no—
443C2×M16—21no—
444C2×M16—21no—
445C2×M16—21no—
446C2×M16—21no—
447C2×M16—432no—
448C2×M16—861no—
449C2×M16—861no—
450C2×M16—861no—
451C2×M16—861no—
452C2×M16—861no—
453C2×M16C22⋊D4312yes—
454C22×C8—21no—
455C22×C8—861no—
456C4⋊Q8—864no—
457C4⋊Q8—864no—
458#124—864no—
459#124—864no—
460#123—868no—
461#123—868no—
462C22⋊Q8—868no—
463C22⋊Q8—868no—
464#117—21no—
465#117—21no—
466#117—21no—
467#117—432no—
468#117—432no—
469#117—432no—
470#117—861no—
471#117—861no—
472#117—861no—
473#117—861no—
474#117—861no—
475#117C22⋊D4312yes—
476C2×C4⋊C4—21no—
477C2×C4⋊C4—432no—
478C2×C4⋊C4—864no—
479C2×C4⋊C4—861no—
480C2×C22⋊C4—21no—
481C2×C22⋊C4—864no—
482C2×C22⋊C4—861no—
483C2×C22⋊C4—861no—
484C2×C42—21no—
485C2×C42—861no—
486C2×C42—861no—
487#103—28no—
488#103—868no—
489#101—864no—
490#100—864no—
491#99—868no—
492C24—432no—
493C24D4×D4311yescharacteristic
494#41—1721no—
495#41—1721no—
496#41—1721no—
497#41—1721no—
498#41—1721no—
499#41—1721no—
500#41—1721no—
501#41—1721no—
502#41—1721no—
503#41—1721no—
504#41—1721no—
505#41—1721no—
506#41—1721no—
507#41—1721no—
508#41—1721no—
509#41—1721no—
510C2×Q8—22no—
511C2×Q8—22no—
512C2×Q8—22no—
513C2×Q8—22no—
514C2×Q8—22no—
515C2×Q8—22no—
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—41no—
526C2×Q8—41no—
527C2×Q8—41no—
528C2×Q8—41no—
529C2×Q8—41no—
530C2×Q8—41no—
531C2×Q8—41no—
532C2×Q8—41no—
533C2×Q8—41no—
534C2×Q8—41no—
535C2×Q8—41no—
536C2×Q8—41no—
537C2×Q8—861no—
538C2×Q8—861no—
539C2×Q8—861no—
540C2×Q8—861no—
541C2×Q8—861no—
542C2×Q8—861no—
543C2×Q8(C2×D43)⋊C414yes—
544C2×D4—862no—
545C2×D4—862no—
546C2×D4—862no—
547C2×D4—862no—
548C2×D4—862no—
549C2×D4—862no—
550C2×D4—861no—
551C2×D4—861no—
552C2×D4—861no—
553C2×D4—861no—
554C2×D4—861no—
555C2×D4—861no—
556C22×C4—22no—
557C22×C4—22no—
558C22×C4—22no—
559C22×C4—41no—
560C22×C4—41no—
561C22×C4—41no—
562C22×C4—41no—
563C22×C4—41no—
564C22×C4—432no—
565C22×C4—862no—
566C22×C4—862no—
567C22×C4—862no—
568C22×C4—862no—
569C22×C4—862no—
570C22×C4—862no—
571C22×C4—862no—
572C22×C4—1721no—
573C22×C4C2×C4×D4311yescharacteristic
574C22×C4C2×D17211yescharacteristic
575C22×C4#1062189811yescharacteristic
576C22×C4#1062189811yescharacteristic
577C22×C4D4×D4311yescharacteristic
578C22×C4D4×D4311yescharacteristic
579C22×C4D4×D4311yescharacteristic
580C22×C4D4×D4311yescharacteristic
581C22×C4D4×D4311yescharacteristic
582C22×C4#1062190011yescharacteristic
583C22×C4#1062190011yescharacteristic
584C22×C4C2×C22⋊D4311yescharacteristic
585C22×C4C2×C22⋊D4311yescharacteristic
586C22×C4C2×C22⋊D4311yescharacteristic
587M16—22no—
588M16—22no—
589M16—41no—
590M16—41no—
591M16—862no—
592M16—862no—
593M16—1721no—
594M16—1721no—
595C2×C8—22no—
596C2×C8—41no—
597C2×C8—41no—
598C2×C8—862no—
599C2×C8—1721no—
600C2×C8—1721no—
601C4⋊C4—22no—
602C4⋊C4—41no—
603C4⋊C4—434no—
604C4⋊C4—8616no—
605C4⋊C4—862no—
606C4⋊C4—862no—
607C4⋊C4—1721no—
608C22⋊C4—22no—
609C22⋊C4—41no—
610C22⋊C4—8616no—
611C22⋊C4—862no—
612C22⋊C4—862no—
613C22⋊C4—862no—
614C22⋊C4—1721no—
615C42—22no—
616C42—41no—
617C42—862no—
618C42—862no—
619C42—862no—
620C42—1721no—
621C23—42no—
622C23—862no—
623C23—862no—
624C23—862no—
625C23—1724no—
626C23C22⋊C4×D4311yescharacteristic
627C23#1306329311yescharacteristic
628C23#1306329311yescharacteristic
629C23#1306329511yescharacteristic
630C23#1306329611yescharacteristic
631C23#1306329811yescharacteristic
632C23#1306330711yescharacteristic
633Q8—24no—
634Q8—24no—
635Q8—42no—
636Q8—42no—
637Q8—42no—
638Q8—42no—
639Q8—42no—
640Q8—42no—
641Q8—1721no—
642Q8—1721no—
643Q8—1721no—
644Q8—1721no—
645D4—1722no—
646D4—1722no—
647D4—1722no—
648D4—1722no—
649D4—1721no—
650D4—1721no—
651D4—1721no—
652D4—1721no—
653C2×C4—24no—
654C2×C4—42no—
655C2×C4—42no—
656C2×C4—42no—
657C2×C4—42no—
658C2×C4—42no—
659C2×C4—42no—
660C2×C4—42no—
661C2×C4—82no—
662C2×C4—864no—
663C2×C4—862no—
664C2×C4—862no—
665C2×C4—862no—
666C2×C4—3442no—
667C2×C4—1722no—
668C2×C4—1724no—
669C2×C4—1722no—
670C2×C4—1722no—
671C2×C4—1722no—
672C2×C4—1722no—
673C2×C4C22⋊C4×D4311yescharacteristic
674C2×C4C2×(C2×D43)⋊C411yescharacteristic
675C2×C4(C22⋊D43)⋊C411yescharacteristic
676C2×C4(C22⋊D43)⋊C411yescharacteristic
677C2×C4C4×C22⋊D4311yescharacteristic
678C2×C4C4×C22⋊D4311yescharacteristic
679C2×C4#1306329311yescharacteristic
680C2×C4#1306329311yescharacteristic
681C2×C4#1306329411yescharacteristic
682C2×C4#1306329511yescharacteristic
683C2×C4#1306329511yescharacteristic
684C2×C4#1306329611yescharacteristic
685C2×C4#1306329711yescharacteristic
686C2×C4#1306329711yescharacteristic
687C2×C4#1306329711yescharacteristic
688C2×C4#1306329711yescharacteristic
689C2×C4#1306329811yescharacteristic
690C2×C4#1306329811yescharacteristic
691C2×C4#1306329811yescharacteristic
692C2×C4#1306329911yescharacteristic
693C2×C4#1306329911yescharacteristic
694C2×C4#1306330711yescharacteristic
695C2×C4#1306330811yescharacteristic
696C2×C4#1306330911yescharacteristic
697C2×C4#1306331111yescharacteristic
698C2×C4#1306331111yescharacteristic
699C2×C4#1306332111yescharacteristic
700C2×C4#1306332111yescharacteristic
701C8—42no—
702C8—1722no—
703C22—22no—
704C22—22no—
705C22—22no—
706C22—41no—
707C22—41no—
708C22—41no—
709C22—41no—
710C22—3442no—
711C22—3442no—
712C22—1724no—
713C22—1722no—
714C22#1458275411yescharacteristic
715C22#1458277511yescharacteristic
716C22#1458277511yescharacteristic
717C22#1458280711yescharacteristic
718C22#1458280811yescharacteristic
719C22#1458281411yescharacteristic
720C22#1458281511yescharacteristic
721C4—44no—
722C4—82no—
723C4—3442no—
724C4—1724no—
725C4—1722no—
726C4#1458277611yescharacteristic
727C4#1458277811yescharacteristic
728C4#1458279911yescharacteristic
729C4#1458279911yescharacteristic
730C4#1458280711yescharacteristic
731C4#1458280811yescharacteristic
732C4#1458281411yescharacteristic
733C4#1458281511yescharacteristic
734C2—21no—
735C2—21no—
736C2—21no—
737C2—21no—
738C2—21no—
739C2—21no—
740C2—3442no—
741C2#1913283411yescharacteristic
742C2#1913456712yes—
subgroupG/H
centerC22#14582754
commutatorC22×C4×C43C22×C4
FrattiniC23×C4C22×D43
FittingC2×C43×#419C2
socleC22×C43#379
prime radicalC22×#10621898C22
cosocleC23×C4×C43C23
hypercenterC2×#419D43
hypocenterC43#10985
LCSG ▷ C22×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C23×C4 ◁ C2×#419

Complements

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

NH ≅ G/Ntype
2. C2×#14582908C2semidirect
5. #19134306C2semidirect
6. #19134305C2semidirect
7. C2×C43×#419C2semidirect
17. C2×#13063301C4semidirect
365. C2×#419D43semidirect
409. C43#10985semidirect

Maximal subgroups

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

subgroupindex
C2×#145834732
C2×#145829082
C2×#145828812
C2×#145828722
#191343062
#191343052
C2×C43×#4192
#1098543