Finite Group Databasebeta

← #72272214

Subgroups — #72272214

Order 1536.

Only the 32249 normal subgroups are shown; non-normal subgroups are omitted.

The subgroup lattice has 887 nodes (normal subgroups only) — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#11707718C2116yesmaximal, complemented
2#11707690C2116yesmaximal, complemented
3#11707302C218yesmaximal, complemented
4D4×#1004C218yesmaximal, complemented
5#11705519C2116yesmaximal, complemented
6#11705057C2132yesmaximal, complemented
7#11704069C212yesmaximal, complemented
8#11703820C218yesmaximal, complemented
9#11703805C218yesmaximal, complemented
10#11703221C214yesmaximal, complemented
11C2×#87239C218yesmaximal, complemented
12C22×C3×D42C211yesmaximal, characteristic, complemented
13C24×C3×D4C2214yescomplemented
14C22×#1004C2218yescomplemented
15C2×C3×D42C2218yescomplemented
16C2×C3×D42C22116yescomplemented
17C2×C3×D42C2218yescomplemented
18C2×C3×D42C22116yescomplemented
19C22×C3×#127C2211yescharacteristic, complemented
20C22×C3×#121C2214yescomplemented
21C22×C3×#120C2214yescomplemented
22C22×C3×C4×D4C2212yescomplemented
23C22×#953C22116yescomplemented
24#87239C2218yescomplemented
25#87239C22116yescomplemented
26#87239C22116yescomplemented
27#87239C2218yescomplemented
28#87239C22132yescomplemented
29#87239C22164yescomplemented
30#87239C22116yescomplemented
31#87239C22164yescomplemented
32#87239C22132yescomplemented
33C2×D4×#67C22132yescomplemented
34C2×D4×#67C22132yescomplemented
35C2×#5805C22116yescomplemented
36C2×#5804C22132yescomplemented
37C2×#5806C22132yescomplemented
38C2×#5806C22132yescomplemented
39C2×#5798C2218yescomplemented
40C2×#5791C22116yescomplemented
41#86625C22132yescomplemented
42#86624C22116yescomplemented
43#86623C22164yescomplemented
44#86622C22164yescomplemented
45#86621C22132yescomplemented
46#86620C22164yescomplemented
47D3×D42C22116yescomplemented
48#86618C22164yescomplemented
49#86617C22116yescomplemented
50#86616C22164yescomplemented
51#86615C22164yescomplemented
52#86614C22164yescomplemented
53#86613C221128yescomplemented
54#86612C22132yescomplemented
55#86611C22164yescomplemented
56#86610C22132yescomplemented
57#86609C22164yescomplemented
58#86608C22132yescomplemented
59#86607C22164yescomplemented
60#86606C22116yescomplemented
61D4×#237C22132yescomplemented
62#86197C22116yescomplemented
63#86197C22132yescomplemented
64#86195C2218yescomplemented
65#86195C22116yescomplemented
66#86190C2218yescomplemented
67#86190C22116yescomplemented
68#85956C22164yescomplemented
69#85955C22132yescomplemented
70#85954C22164yescomplemented
71#85951C22164yescomplemented
72#85950C22132yescomplemented
73#85949C22132yescomplemented
74#85938C22132yescomplemented
75#85937C22132yescomplemented
76#85936C22132yescomplemented
77#85921C22164yescomplemented
78#85921C221128yescomplemented
79#85919C22132yescomplemented
80#85919C22164yescomplemented
81#85913C22132yescomplemented
82#85913C22164yescomplemented
83#85790C22116yescomplemented
84#85789C22132yescomplemented
85#85788C2218yescomplemented
86#85787C22116yescomplemented
87#85786C2214yescomplemented
88#85785C22132yescomplemented
89D4×#235C22116yescomplemented
90#85777C2218yescomplemented
91#85776C22116yescomplemented
92#85767C22116yescomplemented
93#85766C2214yescomplemented
94#85764C22116yescomplemented
95C4×#1004C2218yescomplemented
96#85718C2218yescomplemented
97#85697C22116yescomplemented
98#85697C22116yescomplemented
99#85680C2214yescomplemented
100C22×D42D311yescharacteristic, complemented
101C26×C3C2314yescomplemented
102C23×C3×D4C2318yes—
103C23×C3×D4C2312yes—
104C23×C3×D4C2312yescomplemented
105C23×C3×D4C2318yescomplemented
106C23×C3×D4C2314yescomplemented
107C23×C3×D4C23116yescomplemented
108C23×C3×D4C23132yescomplemented
109C23×C3×D4C23116yescomplemented
110C23×C3×D4C2318yescomplemented
111C23×C3×D4C23116yescomplemented
112C24×C3×C4C2314yescomplemented
113C23×#67C23132yescomplemented
114C23×#67C23116yescomplemented
115C2×#1004C2318yes—
116C2×#1004C23132yescomplemented
117C2×#1004C23116yescomplemented
118C2×#1004C2318yescomplemented
119C2×#1004C23164yescomplemented
120C22×#237C23132yescomplemented
121C22×D3×D4C23132yescomplemented
122C22×#235C23116yescomplemented
123C3×D42C23116yescomplemented
124C3×D42C23164yescomplemented
125C3×D42C23132yescomplemented
126C3×D42C23164yescomplemented
127C3×D42C23164yescomplemented
128C3×D42C23116yescomplemented
129C2×C3×#127C2318yescomplemented
130C2×C3×#127C2318yescomplemented
131C2×C3×#127C2318yescomplemented
132C2×C3×#121C23116yescomplemented
133C2×C3×#121C23116yescomplemented
134C2×C3×#121C23132yescomplemented
135C2×C3×#121C23116yescomplemented
136C2×C3×#121C23116yescomplemented
137C2×C3×#120C23132yescomplemented
138C2×C3×#120C23132yescomplemented
139C2×C3×#120C23132yescomplemented
140C2×C3×C4×D4C2314yes—
141C2×C3×C4×D4C2318yescomplemented
142C2×C3×C4×D4C23116yescomplemented
143C2×C3×C4×D4C2318yescomplemented
144C2×C3×C4×D4C2314yescomplemented
145C2×C3×C4×D4C2318yescomplemented
146C22×C3×C4⋊C4C2312yescomplemented
147C22×C3×C22⋊C4C2314yescomplemented
148C22×C3×C22⋊C4C2314yescomplemented
149C22×C3×C42C2311yescharacteristic, complemented
150C2×#953C23132yescomplemented
151C2×#953C23132yescomplemented
152C2×#953C23164yescomplemented
153C2×#953C23132yescomplemented
154C2×#953C23164yescomplemented
155C2×#953C23164yescomplemented
156C2×#953C23164yescomplemented
157C22×#217C23132yescomplemented
158C22×#217C23116yescomplemented
159#5806C23132yescomplemented
160#5806C23132yescomplemented
161#5806C23164yescomplemented
162#5806C231128yescomplemented
163#5806C231128yescomplemented
164#5806C23164yescomplemented
165#5806C23164yescomplemented
166#5806C23164yescomplemented
167#5806C23164yescomplemented
168#5806C231128yescomplemented
169#5806C231128yescomplemented
170#5806C23164yescomplemented
171#5806C23164yescomplemented
172#5805C23116yescomplemented
173#5805C23116yescomplemented
174#5805C23164yescomplemented
175#5805C23132yescomplemented
176#5805C23164yescomplemented
177#5805C23164yescomplemented
178#5804C23132yescomplemented
179#5804C23132yescomplemented
180#5804C23164yescomplemented
181#5804C23164yescomplemented
182#5804C23164yescomplemented
183#5804C231128yescomplemented
184#5804C231128yescomplemented
185C2×#940C23132yescomplemented
186C2×#939C23164yescomplemented
187C2×#939C23164yescomplemented
188D4×#67C23132yescomplemented
189D4×#67C23132yescomplemented
190D4×#67C23164yescomplemented
191D4×#67C231128yescomplemented
192D4×#67C231128yescomplemented
193D4×#67C23164yescomplemented
194D4×#67C23164yescomplemented
195D4×#67C23164yescomplemented
196D4×#67C23164yescomplemented
197D4×#67C231128yescomplemented
198D4×#67C231128yescomplemented
199D4×#67C23164yescomplemented
200D4×#67C23164yescomplemented
201C2×#938C23132yescomplemented
202C2×#938C23132yescomplemented
203C2×#937C23164yescomplemented
204#5798C2318yes—
205#5798C2318yescomplemented
206#5798C23132yescomplemented
207#5798C23116yescomplemented
208#5798C23164yescomplemented
209C2×#936C23132yescomplemented
210C2×#935C23164yescomplemented
211C2×D4×Dic3C23132yescomplemented
212C2×D4×Dic3C23132yescomplemented
213#5791C23116yescomplemented
214#5791C2318yescomplemented
215#5791C23132yescomplemented
216#5791C23132yescomplemented
217#5791C23132yescomplemented
218#5791C23132yescomplemented
219#5791C23132yescomplemented
220#5791C23132yescomplemented
221#5791C23132yescomplemented
222C2×#930C23116yescomplemented
223C2×#930C23116yescomplemented
224C2×#929C23132yescomplemented
225C2×C4×#67C23132yescomplemented
226C2×C4×#67C23132yescomplemented
227C2×#926C23116yescomplemented
228C2×#924C23116yescomplemented
229C2×#924C23116yescomplemented
230#5720C23164yescomplemented
231#5719C23164yescomplemented
232#5719C23132yescomplemented
233#5718C23132yescomplemented
234#5718C23132yescomplemented
235#5718C23132yescomplemented
236#5717C23116yescomplemented
237#5717C23132yescomplemented
238#5716C23132yescomplemented
239#5716C23116yescomplemented
240#5715C23164yescomplemented
241#5715C23132yescomplemented
242D3×#127C23116yescomplemented
243#5713C23116yescomplemented
244#5713C23132yescomplemented
245#5621C231128yescomplemented
246#5620C231128yescomplemented
247#5619C23164yescomplemented
248#5618C23164yescomplemented
249#5617C23164yescomplemented
250#5616C23164yescomplemented
251#5615C231128yescomplemented
252#5614C23164yescomplemented
253#5613C231128yescomplemented
254#5612C23164yescomplemented
255#5611C23164yescomplemented
256#5610C231128yescomplemented
257#5609C23164yescomplemented
258#5608C23164yescomplemented
259#5607C23164yescomplemented
260#5606C23164yescomplemented
261#5605C23164yescomplemented
262D3×#121C23164yescomplemented
263#5603C23164yescomplemented
264#5602C23164yescomplemented
265#5601C231128yescomplemented
266#5600C23164yescomplemented
267#5599C23164yescomplemented
268#5598C23164yescomplemented
269#5597C23164yescomplemented
270#5596C23164yescomplemented
271#5595C231128yescomplemented
272#5595C23164yescomplemented
273#5594C23164yescomplemented
274#5593C231128yescomplemented
275#5593C231128yescomplemented
276#5593C231128yescomplemented
277#5592C231128yescomplemented
278#5592C23164yescomplemented
279#5591C231128yescomplemented
280#5591C231128yescomplemented
281#5591C231128yescomplemented
282#5590C23164yescomplemented
283#5590C231128yescomplemented
284#5589C231128yescomplemented
285#5589C23164yescomplemented
286D3×#120C23164yescomplemented
287#5587C23164yescomplemented
288#5587C231128yescomplemented
289#5586C231128yescomplemented
290#5586C23164yescomplemented
291#5565C23132yescomplemented
292#5564C23164yescomplemented
293#5563C23116yescomplemented
294#5562C23132yescomplemented
295#5561C23132yescomplemented
296#5560C23164yescomplemented
297#5559C23132yescomplemented
298#5558C23132yescomplemented
299#5557C23132yescomplemented
300#5556C23164yescomplemented
301#5555C23116yescomplemented
302#5554C23132yescomplemented
303#5553C23116yescomplemented
304#5552C23132yescomplemented
305#5551C23116yescomplemented
306#5550C23132yescomplemented
307D4×D12C23116yescomplemented
308#5548C23132yescomplemented
309#5547C23164yescomplemented
310#5546C23132yescomplemented
311#5545C23132yescomplemented
312C4×D3×D4C23132yescomplemented
313#5543C23116yescomplemented
314#5542C23116yescomplemented
315#5541C23132yescomplemented
316#5540C23164yescomplemented
317#5539C23132yescomplemented
318#5538C23164yescomplemented
319D4×Dic6C23116yescomplemented
320C4×#237C23132yescomplemented
321#5515C23132yescomplemented
322#5514C23132yescomplemented
323#5513C23132yescomplemented
324#5511C23132yescomplemented
325#5510C2318yescomplemented
326#5507C23132yescomplemented
327#5504C23116yescomplemented
328#5500C2318yescomplemented
329#5495C23164yescomplemented
330#5495C23164yescomplemented
331#5495C231128yescomplemented
332#5494C23132yescomplemented
333#5494C23132yescomplemented
334#5494C23164yescomplemented
335#5493C23116yescomplemented
336#5493C23116yescomplemented
337#5490C23164yescomplemented
338#5490C23164yescomplemented
339#5490C231128yescomplemented
340#5486C23132yescomplemented
341#5486C23132yescomplemented
342#5483C23116yescomplemented
343#5483C23116yescomplemented
344#5479C23116yescomplemented
345#5479C23116yescomplemented
346#5479C23116yescomplemented
347#5477C2318yescomplemented
348#5477C2314yescomplemented
349C4×#235C23116yescomplemented
350C4×#235C2318yescomplemented
351#5470C2318yescomplemented
352#5470C2314yescomplemented
353C24×D4C2×D314yescomplemented
354C2×D42C2×D318yescomplemented
355C2×D42C2×D3116yescomplemented
356C2×D42C2×D318yescomplemented
357C2×D42C2×D3116yescomplemented
358C22×#127C2×D311yescharacteristic, complemented
359C22×#121C2×D314yescomplemented
360C22×#120C2×D314yescomplemented
361C22×C4×D4C2×D312yescomplemented
362C25×C3C24116yes—
363C25×C3C24116yes—
364C25×C3C2414yes—
365C25×C3C2414yes—
366C25×C3C24116yes—
367C24×D3C24116yescomplemented
368C22×C3×D4C2412yes—
369C22×C3×D4C24132yes—
370C22×C3×D4C24132yes—
371C22×C3×D4C24116yes—
372C22×C3×D4C2418yes—
373C22×C3×D4C2418yes—
374C22×C3×D4C2418yes—
375C22×C3×D4C2418yes—
376C22×C3×D4C2414yes—
377C22×C3×D4C2412yes—
378C22×C3×D4C24164yes—
379C22×C3×D4C24132yes—
380C22×C3×D4C24132yes—
381C22×C3×D4C24132yes—
382C22×C3×D4C24116yes—
383C22×C3×D4C24116yes—
384C22×C3×D4C24164yes—
385C22×C3×D4C24132yes—
386C22×C3×D4C2418yes—
387C22×C3×D4C24116yes—
388C22×C3×D4C24116yes—
389C23×C3×C4C2418yes—
390C23×C3×C4C2412yes—
391C23×C3×C4C2418yes—
392C23×C3×C4C24116yes—
393C23×C3×C4C2418yes—
394C23×C3×C4C2414yes—
395C23×C3×C4C2418yes—
396C23×C3×C4C2411yescharacteristic
397C22×#67C24132yes—
398C22×#67C24132yes—
399C22×#67C24164yes—
400C22×#67C24132yes—
401C22×#67C24132yes—
402C22×#67C24164yescomplemented
403C22×#67C24164yescomplemented
404C22×#67C24164yescomplemented
405C22×#67C24164yescomplemented
406C22×#67C24132yescomplemented
407C23×Dic3C24132yescomplemented
408C23×Dic3C24116yescomplemented
409C2×#237C24132yes—
410C2×#237C24164yescomplemented
411C2×#237C241128yescomplemented
412C2×#237C24132yescomplemented
413C2×D3×D4C24132yes—
414C2×D3×D4C24164yescomplemented
415C2×D3×D4C241128yescomplemented
416C2×D3×D4C24132yescomplemented
417C2×#235C24116yes—
418C2×#235C24132yes—
419C2×#235C2418yes—
420C2×#235C24132yescomplemented
421C2×#235C24132yescomplemented
422C22×D12C24116yescomplemented
423C22×C4×D3C24132yescomplemented
424C22×Dic6C24116yescomplemented
425C3×#127C24116yes—
426C3×#127C24132yes—
427C3×#127C24116yes—
428C3×#121C24164yes—
429C3×#121C24164yes—
430C3×#121C24164yes—
431C3×#121C24164yes—
432C3×#120C24164yes—
433C3×#120C241128yes—
434C3×#120C24164yes—
435C3×C4×D4C24116yes—
436C3×C4×D4C24132yes—
437C3×C4×D4C24116yes—
438C3×C4×D4C24132yes—
439C3×C4×D4C24116yes—
440C3×C4×D4C24116yes—
441C2×C3×C4⋊C4C2414yes—
442C2×C3×C4⋊C4C2418yes—
443C2×C3×C4⋊C4C2418yes—
444C2×C3×C4⋊C4C2414yes—
445C2×C3×C22⋊C4C2418yes—
446C2×C3×C22⋊C4C24116yes—
447C2×C3×C22⋊C4C24116yes—
448C2×C3×C22⋊C4C24116yes—
449C2×C3×C22⋊C4C24132yes—
450C2×C3×C22⋊C4C2418yes—
451C2×C3×C42C2414yes—
452C2×C3×C42C2414yes—
453C2×C3×C42C2414yes—
454#953C24164yes—
455#953C24164yes—
456#953C241128yes—
457#953C24164yes—
458#953C24164yes—
459#953C24116yes—
460#953C24164yescomplemented
461#953C241128yescomplemented
462#953C241128yescomplemented
463#953C24164yescomplemented
464C2×#217C24132yes—
465C2×#217C24132yes—
466C2×#217C24132yes—
467C2×#217C24132yes—
468C2×#217C24164yes—
469C2×#217C24164yescomplemented
470C2×#217C24164yescomplemented
471C2×#217C24164yescomplemented
472C2×#217C24164yescomplemented
473C2×#217C24132yescomplemented
474#940C24132yes—
475#940C24164yescomplemented
476#940C24132yescomplemented
477#940C241128yescomplemented
478#939C24164yes—
479#939C24164yes—
480#939C241128yescomplemented
481#939C241128yescomplemented
482#939C241128yescomplemented
483#939C241128yescomplemented
484#939C241128yescomplemented
485#939C241128yescomplemented
486#939C241128yescomplemented
487#938C24132yes—
488#938C24132yes—
489#938C24164yescomplemented
490#938C24164yescomplemented
491#938C24164yescomplemented
492#938C241128yescomplemented
493#938C241128yescomplemented
494#937C24164yes—
495#937C241128yescomplemented
496#937C24164yescomplemented
497#937C241128yescomplemented
498#937C241128yescomplemented
499#936C24132yes—
500#936C24164yescomplemented
501#936C24132yescomplemented
502#936C241128yescomplemented
503#935C24164yes—
504#935C241128yescomplemented
505#935C24164yescomplemented
506#935C241128yescomplemented
507#935C241128yescomplemented
508D4×Dic3C24132yes—
509D4×Dic3C24132yes—
510D4×Dic3C24164yescomplemented
511D4×Dic3C24164yescomplemented
512D4×Dic3C24164yescomplemented
513D4×Dic3C241128yescomplemented
514D4×Dic3C241128yescomplemented
515#930C24116yes—
516#930C24116yes—
517#930C24116yes—
518#930C24132yes—
519#930C24132yes—
520#930C24132yescomplemented
521#930C24132yescomplemented
522#930C24132yescomplemented
523#930C24132yescomplemented
524#929C24116yes—
525#929C24132yes—
526#929C24164yes—
527#929C24164yescomplemented
528#929C24164yescomplemented
529C4×#67C24132yes—
530C4×#67C24132yes—
531C4×#67C24132yes—
532C4×#67C24164yes—
533C4×#67C24164yes—
534C4×#67C24164yescomplemented
535C4×#67C24164yescomplemented
536C4×#67C24164yescomplemented
537C4×#67C24164yescomplemented
538C2×(C2×D3)⋊C4C24132yescomplemented
539C2×(C2×D3)⋊C4C24132yescomplemented
540#926C2418yes—
541#926C24116yes—
542#926C24132yes—
543#926C24132yescomplemented
544#926C24132yescomplemented
545C2×C4⋊Dic3C24116yescomplemented
546C2×C4⋊Dic3C24116yescomplemented
547#924C24116yes—
548#924C24116yes—
549#924C24116yes—
550#924C24132yes—
551#924C24132yes—
552#924C24132yescomplemented
553#924C24132yescomplemented
554#924C24132yescomplemented
555#924C24132yescomplemented
556C2×Dic3⋊C4C24132yescomplemented
557C2×Dic3⋊C4C24132yescomplemented
558C2×C4×Dic3C24132yescomplemented
559#898C24164yescomplemented
560#897C24132yescomplemented
561#896C24164yescomplemented
562#895C24132yescomplemented
563#894C24164yescomplemented
564#893C24132yescomplemented
565#892C24132yescomplemented
566D3×C4⋊C4C24132yescomplemented
567#890C24132yescomplemented
568#889C24164yescomplemented
569#888C24132yescomplemented
570#887C24132yescomplemented
571#886C24164yescomplemented
572#886C24164yescomplemented
573#885C24164yescomplemented
574#885C24164yescomplemented
575#885C241128yescomplemented
576#884C24164yescomplemented
577#884C24164yescomplemented
578#884C241128yescomplemented
579#883C24164yescomplemented
580#883C24164yescomplemented
581#883C241128yescomplemented
582#882C24164yescomplemented
583#882C24164yescomplemented
584#67⋊C4C24164yescomplemented
585#67⋊C4C24164yescomplemented
586#67⋊C4C241128yescomplemented
587D3×C22⋊C4C24164yescomplemented
588D3×C22⋊C4C24164yescomplemented
589#879C24164yescomplemented
590#879C24164yescomplemented
591#879C241128yescomplemented
592#878C24164yescomplemented
593#878C24164yescomplemented
594#878C241128yescomplemented
595#877C24164yescomplemented
596#877C24164yescomplemented
597#876C24132yescomplemented
598#875C24116yescomplemented
599#875C2418yescomplemented
600#874C2414yescomplemented
601C4×D12C24116yescomplemented
602C4×D12C24116yescomplemented
603C4×D12C24116yescomplemented
604#872C24132yescomplemented
605#872C24116yescomplemented
606C42×D3C24116yescomplemented
607#870C24116yescomplemented
608#870C2418yescomplemented
609#869C2418yescomplemented
610#869C2414yescomplemented
611C4×Dic6C24116yescomplemented
612C4×Dic6C24116yescomplemented
613C4×Dic6C24116yescomplemented
614C26C22×D314yescomplemented
615C23×D4C22×D312yes—
616C23×D4C22×D318yes—
617C23×D4C22×D318yescomplemented
618C23×D4C22×D314yescomplemented
619C23×D4C22×D3116yescomplemented
620C23×D4C22×D318yescomplemented
621C23×D4C22×D3116yescomplemented
622C23×D4C22×D3132yescomplemented
623C23×D4C22×D3116yescomplemented
624C23×D4C22×D312yescomplemented
625C24×C4C22×D314yescomplemented
626D42C22×D3116yescomplemented
627D42C22×D3164yescomplemented
628D42C22×D3132yescomplemented
629D42C22×D3164yescomplemented
630D42C22×D3164yescomplemented
631D42C22×D3116yescomplemented
632C2×#127C22×D318yescomplemented
633C2×#127C22×D318yescomplemented
634C2×#127C22×D318yescomplemented
635C2×#121C22×D3116yescomplemented
636C2×#121C22×D3116yescomplemented
637C2×#121C22×D3132yescomplemented
638C2×#121C22×D3116yescomplemented
639C2×#121C22×D3116yescomplemented
640C2×#120C22×D3132yescomplemented
641C2×#120C22×D3132yescomplemented
642C2×#120C22×D3132yescomplemented
643C2×C4×D4C22×D314yes—
644C2×C4×D4C22×D314yescomplemented
645C2×C4×D4C22×D318yescomplemented
646C2×C4×D4C22×D318yescomplemented
647C2×C4×D4C22×D3116yescomplemented
648C2×C4×D4C22×D318yescomplemented
649C22×C4⋊C4C22×D312yescomplemented
650C22×C22⋊C4C22×D314yescomplemented
651C22×C22⋊C4C22×D314yescomplemented
652C22×C42C22×D311yescharacteristic, complemented
653C24×C3C2514yes—
654C24×C3C2511yescharacteristic
655C24×C3C2518yes—
656C24×C3C2518yes—
657C24×C3C2514yes—
658C24×C3C25116yes—
659C24×C3C2518yes—
660C24×C3C25132yes—
661C24×C3C25116yes—
662C24×C3C25116yes—
663C23×D3C25132yes—
664C23×D3C25132yes—
665C2×C3×D4H(5,𝔽2)116yescomplemented
666C2×C3×D4C2518yes—
667C2×C3×D4C25164yes—
668C2×C3×D4C25132yes—
669C2×C3×D4C25132yes—
670C2×C3×D4C25116yes—
671C2×C3×D4C25132yes—
672C2×C3×D4C25164yes—
673C2×C3×D4C2518yes—
674C22×C3×C4C2512yes—
675C22×C3×C4C25116yes—
676C22×C3×C4C25116yes—
677C22×C3×C4C2514yes—
678C22×C3×C4C2514yes—
679C22×C3×C4C2514yes—
680C22×C3×C4C2518yes—
681C22×C3×C4C2518yes—
682C22×C3×C4C25116yes—
683C22×C3×C4C25116yes—
684C22×C3×C4C2512yes—
685C22×C3×C4C2518yes—
686C22×C3×C4C2512yes—
687C2×#67C25164yes—
688C2×#67C25164yes—
689C2×#67C25164yes—
690C2×#67C25164yes—
691C2×#67C251128yes—
692C2×#67C25116yes—
693C2×#67C25132yes—
694C22×Dic3C25132yes—
695C22×Dic3C25132yes—
696C22×Dic3C25132yes—
697C22×Dic3C25132yes—
698C22×Dic3C25164yes—
699C2×D12C2518yes—
700C2×D12C25116yes—
701C2×D12C25132yes—
702C2×C4×D3C25116yes—
703C2×C4×D3C25132yes—
704C2×C4×D3C25164yes—
705C2×Dic6C2518yes—
706C2×Dic6C25116yes—
707C2×Dic6C25132yes—
708C3×C4⋊C4C25116yes—
709C3×C4⋊C4C25116yes—
710C3×C22⋊C4C25132yes—
711C3×C22⋊C4C25164yes—
712C3×C22⋊C4C25132yes—
713C3×C42C2514yes—
714C3×C42C2518yes—
715C3×C42C2514yes—
716#217C25164yes—
717#217C25164yes—
718#217C25164yes—
719#217C25164yes—
720#217C251128yes—
721#217C25116yes—
722#217C25132yes—
723(C2×D3)⋊C4C25132yes—
724(C2×D3)⋊C4C25132yes—
725(C2×D3)⋊C4C25132yes—
726(C2×D3)⋊C4C25164yes—
727(C2×D3)⋊C4C25164yes—
728C4⋊Dic3C25116yes—
729C4⋊Dic3C25116yes—
730C4⋊Dic3C25116yes—
731C4⋊Dic3C25132yes—
732C4⋊Dic3C25132yes—
733Dic3⋊C4C25132yes—
734Dic3⋊C4C25132yes—
735Dic3⋊C4C25132yes—
736Dic3⋊C4C25164yes—
737Dic3⋊C4C25164yes—
738C4×Dic3C25116yes—
739C4×Dic3C25132yes—
740C4×Dic3C25164yes—
741C25C23×D314yes—
742C25C23×D314yes—
743C25C23×D3116yes—
744C25C23×D3116yes—
745C25C23×D3116yes—
746C22×D4C23×D312yes—
747C22×D4C23×D312yes—
748C22×D4C23×D318yes—
749C22×D4C23×D318yes—
750C22×D4C23×D314yes—
751C22×D4C23×D318yes—
752C22×D4C23×D3116yes—
753C22×D4C23×D3116yes—
754C22×D4C23×D3132yes—
755C22×D4C23×D3132yes—
756C22×D4C23×D3116yes—
757C22×D4C23×D318yes—
758C22×D4C23×D3116yes—
759C22×D4C23×D3116yes—
760C22×D4C23×D318yes—
761C22×D4C23×D3132yes—
762C22×D4C23×D3132yes—
763C22×D4C23×D3164yes—
764C22×D4C23×D3132yes—
765C22×D4C23×D3164yes—
766C22×D4C23×D3132yes—
767C23×C4C23×D311yescharacteristic
768C23×C4C23×D314yes—
769C23×C4C23×D312yes—
770C23×C4C23×D318yes—
771C23×C4C23×D318yes—
772C23×C4C23×D3116yes—
773C23×C4C23×D318yes—
774C23×C4C23×D318yes—
775#127C23×D3116yes—
776#127C23×D3132yes—
777#127C23×D3116yes—
778#121C23×D3164yes—
779#121C23×D3164yes—
780#121C23×D3164yes—
781#121C23×D3164yes—
782#120C23×D3164yes—
783#120C23×D31128yes—
784#120C23×D3164yes—
785C4×D4C23×D3116yes—
786C4×D4C23×D3116yes—
787C4×D4C23×D3132yes—
788C4×D4C23×D3132yes—
789C4×D4C23×D3116yes—
790C4×D4C23×D3116yes—
791C2×C4⋊C4C23×D314yes—
792C2×C4⋊C4C23×D318yes—
793C2×C4⋊C4C23×D318yes—
794C2×C4⋊C4C23×D314yes—
795C2×C22⋊C4C23×D318yes—
796C2×C22⋊C4C23×D3116yes—
797C2×C22⋊C4C23×D3116yes—
798C2×C22⋊C4C23×D318yes—
799C2×C22⋊C4C23×D3116yes—
800C2×C22⋊C4C23×D3132yes—
801C2×C42C23×D314yes—
802C2×C42C23×D314yes—
803C2×C42C23×D314yes—
804C23×C3C2×H(5,𝔽2)116yescomplemented
805C23×C3C2612yes—
806C23×C3C2618yes—
807C23×C3C2611yescharacteristic
808C23×C3C2618yes—
809C23×C3C26116yes—
810C22×D3C26116yes—
811C3×D4C2×H(5,𝔽2)132yescomplemented
812C2×C3×C4C2×H(5,𝔽2)18yescomplemented
813C2×C3×C4C2614yes—
814C2×C3×C4C2614yes—
815C2×C3×C4C26116yes—
816C2×C3×C4C2614yes—
817C2×Dic3C26116yes—
818C2×Dic3C26132yes—
819C24C24×D314yes—
820C24C24×D318yes—
821C24C24×D318yes—
822C24C24×D314yes—
823C24C24×D3116yes—
824C24C24×D318yes—
825C24C24×D3116yes—
826C24C24×D3132yes—
827C24C24×D3116yes—
828C24C24×D311yescharacteristic
829C2×D4#1004116yescomplemented
830C2×D4C24×D318yes—
831C2×D4C24×D318yes—
832C2×D4C24×D3116yes—
833C2×D4C24×D3132yes—
834C2×D4C24×D3164yes—
835C2×D4C24×D3164yes—
836C2×D4C24×D3132yes—
837C2×D4C24×D3132yes—
838C22×C4C24×D312yes—
839C22×C4C24×D314yes—
840C22×C4C24×D312yes—
841C22×C4C24×D314yes—
842C22×C4C24×D314yes—
843C22×C4C24×D312yes—
844C22×C4C24×D318yes—
845C22×C4C24×D318yes—
846C22×C4C24×D318yes—
847C22×C4C24×D3116yes—
848C22×C4C24×D3116yes—
849C22×C4C24×D3116yes—
850C22×C4C24×D3116yes—
851C4⋊C4C24×D3116yes—
852C4⋊C4C24×D3116yes—
853C22⋊C4C24×D3132yes—
854C22⋊C4C24×D3132yes—
855C22⋊C4C24×D3164yes—
856C42C24×D314yes—
857C42C24×D318yes—
858C42C24×D314yes—
859C22×C3C22×H(5,𝔽2)14yes—
860C22×C3C22×H(5,𝔽2)116yes—
861C22×C3H(7,𝔽2)12yes—
862C22×C3C2711yescharacteristic
863C3×C4C22×H(5,𝔽2)18yes—
864C23C2×#1004116yescomplemented
865C23C25×D318yes—
866C23C25×D312yes—
867C23C25×D311yescharacteristic
868C23C25×D318yes—
869C23C25×D3116yes—
870D4C2×#1004132yescomplemented
871C2×C4C2×#100418yescomplemented
872C2×C4C25×D314yes—
873C2×C4C25×D314yes—
874C2×C4C25×D314yes—
875C2×C4C25×D3116yes—
876C2×C3C23×H(5,𝔽2)12yes—
877C2×C3C2×H(7,𝔽2)11yescharacteristic
878C22C22×#100414yes—
879C22C22×#1004116yes—
880C22#8756812yes—
881C22C26×D311yescharacteristic
882C4C22×#100418yes—
883C3#1058647211yescharacteristic, complemented, Sylow
884C2C23×#100412yes—
885C2C2×#8756811yescharacteristic
subgroupG/H
center, FrattiniC22C26×D3
commutator, socle, cosocleC22×C3C27
FittingC22×C3×D42C2
hypercenterC22×D42D3
hypocenterC3#10586472
LCSG ▷ C22×C3 ▷ C3
UCSC1 ◁ C22 ◁ C22×D42

Complements

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

NH ≅ G/Ntype
1. #11707718C2semidirect
2. #11707690C2semidirect
3. #11707302C2semidirect
4. D4×#1004C2semidirect
5. #11705519C2semidirect
6. #11705057C2semidirect
7. #11704069C2semidirect
8. #11703820C2semidirect
9. #11703805C2semidirect
10. #11703221C2semidirect
11. C2×#87239C2semidirect
12. C22×C3×D42C2semidirect
13. C24×C3×D4C22semidirect
14. C22×#1004C22semidirect
15. C2×C3×D42C22semidirect
16. C2×C3×D42C22semidirect
17. C2×C3×D42C22semidirect
18. C2×C3×D42C22semidirect
19. C22×C3×#127C22semidirect
20. C22×C3×#121C22semidirect
21. C22×C3×#120C22semidirect
22. C22×C3×C4×D4C22semidirect
23. C22×#953C22semidirect
24. #87239C22semidirect
25. #87239C22semidirect
26. #87239C22semidirect
27. #87239C22semidirect
28. #87239C22semidirect
29. #87239C22semidirect
30. #87239C22semidirect
31. #87239C22semidirect
32. #87239C22semidirect
33. C2×D4×#67C22semidirect
34. C2×D4×#67C22semidirect
35. C2×#5805C22semidirect
36. C2×#5804C22semidirect
37. C2×#5806C22semidirect
38. C2×#5806C22semidirect
39. C2×#5798C22semidirect
40. C2×#5791C22semidirect
41. #86625C22semidirect
42. #86624C22semidirect
43. #86623C22semidirect
44. #86622C22semidirect
45. #86621C22semidirect
46. #86620C22semidirect
47. D3×D42C22semidirect
48. #86618C22semidirect
49. #86617C22semidirect
50. #86616C22semidirect
51. #86615C22semidirect
52. #86614C22semidirect
53. #86613C22semidirect
54. #86612C22semidirect
55. #86611C22semidirect
56. #86610C22semidirect
57. #86609C22semidirect
58. #86608C22semidirect
59. #86607C22semidirect
60. #86606C22semidirect
61. D4×#237C22semidirect
62. #86197C22semidirect
63. #86197C22semidirect
64. #86195C22semidirect
65. #86195C22semidirect
66. #86190C22semidirect
67. #86190C22semidirect
68. #85956C22semidirect
69. #85955C22semidirect
70. #85954C22semidirect
71. #85951C22semidirect
72. #85950C22semidirect
73. #85949C22semidirect
74. #85938C22semidirect
75. #85937C22semidirect
76. #85936C22semidirect
77. #85921C22semidirect
78. #85921C22semidirect
79. #85919C22semidirect
80. #85919C22semidirect
81. #85913C22semidirect
82. #85913C22semidirect
83. #85790C22semidirect
84. #85789C22semidirect
85. #85788C22semidirect
86. #85787C22semidirect
87. #85786C22semidirect
88. #85785C22semidirect
89. D4×#235C22semidirect
90. #85777C22semidirect
91. #85776C22semidirect
92. #85767C22semidirect
93. #85766C22semidirect
94. #85764C22semidirect
95. C4×#1004C22semidirect
96. #85718C22semidirect
97. #85697C22semidirect
98. #85697C22semidirect
99. #85680C22semidirect
100. C22×D42D3semidirect
101. C26×C3C23semidirect
104. C23×C3×D4C23semidirect
105. C23×C3×D4C23semidirect
106. C23×C3×D4C23semidirect
107. C23×C3×D4C23semidirect
108. C23×C3×D4C23semidirect
109. C23×C3×D4C23semidirect
110. C23×C3×D4C23semidirect
111. C23×C3×D4C23semidirect
112. C24×C3×C4C23semidirect
113. C23×#67C23semidirect
114. C23×#67C23semidirect
116. C2×#1004C23semidirect
117. C2×#1004C23semidirect
118. C2×#1004C23semidirect
119. C2×#1004C23semidirect
120. C22×#237C23semidirect
121. C22×D3×D4C23semidirect
122. C22×#235C23semidirect
123. C3×D42C23semidirect
124. C3×D42C23semidirect
125. C3×D42C23semidirect
126. C3×D42C23semidirect
127. C3×D42C23semidirect
128. C3×D42C23semidirect
129. C2×C3×#127C23semidirect
130. C2×C3×#127C23semidirect
131. C2×C3×#127C23semidirect
132. C2×C3×#121C23semidirect
133. C2×C3×#121C23semidirect
134. C2×C3×#121C23semidirect
135. C2×C3×#121C23semidirect
136. C2×C3×#121C23semidirect
137. C2×C3×#120C23semidirect
138. C2×C3×#120C23semidirect
139. C2×C3×#120C23semidirect
141. C2×C3×C4×D4C23semidirect
142. C2×C3×C4×D4C23semidirect
143. C2×C3×C4×D4C23semidirect
144. C2×C3×C4×D4C23semidirect
145. C2×C3×C4×D4C23semidirect
146. C22×C3×C4⋊C4C23semidirect
147. C22×C3×C22⋊C4C23semidirect
148. C22×C3×C22⋊C4C23semidirect
149. C22×C3×C42C23semidirect
150. C2×#953C23semidirect
151. C2×#953C23semidirect
152. C2×#953C23semidirect
153. C2×#953C23semidirect
154. C2×#953C23semidirect
155. C2×#953C23semidirect
156. C2×#953C23semidirect
157. C22×#217C23semidirect
158. C22×#217C23semidirect
159. #5806C23semidirect
160. #5806C23semidirect
161. #5806C23semidirect
162. #5806C23semidirect
163. #5806C23semidirect
164. #5806C23semidirect
165. #5806C23semidirect
166. #5806C23semidirect
167. #5806C23semidirect
168. #5806C23semidirect
169. #5806C23semidirect
170. #5806C23semidirect
171. #5806C23semidirect
172. #5805C23semidirect
173. #5805C23semidirect
174. #5805C23semidirect
175. #5805C23semidirect
176. #5805C23semidirect
177. #5805C23semidirect
178. #5804C23semidirect
179. #5804C23semidirect
180. #5804C23semidirect
181. #5804C23semidirect
182. #5804C23semidirect
183. #5804C23semidirect
184. #5804C23semidirect
185. C2×#940C23semidirect
186. C2×#939C23semidirect
187. C2×#939C23semidirect
188. D4×#67C23semidirect
189. D4×#67C23semidirect
190. D4×#67C23semidirect
191. D4×#67C23semidirect
192. D4×#67C23semidirect
193. D4×#67C23semidirect
194. D4×#67C23semidirect
195. D4×#67C23semidirect
196. D4×#67C23semidirect
197. D4×#67C23semidirect
198. D4×#67C23semidirect
199. D4×#67C23semidirect
200. D4×#67C23semidirect
201. C2×#938C23semidirect
202. C2×#938C23semidirect
203. C2×#937C23semidirect
205. #5798C23semidirect
206. #5798C23semidirect
207. #5798C23semidirect
208. #5798C23semidirect
209. C2×#936C23semidirect
210. C2×#935C23semidirect
211. C2×D4×Dic3C23semidirect
212. C2×D4×Dic3C23semidirect
213. #5791C23semidirect
214. #5791C23semidirect
215. #5791C23semidirect
216. #5791C23semidirect
217. #5791C23semidirect
218. #5791C23semidirect
219. #5791C23semidirect
220. #5791C23semidirect
221. #5791C23semidirect
222. C2×#930C23semidirect
223. C2×#930C23semidirect
224. C2×#929C23semidirect
225. C2×C4×#67C23semidirect
226. C2×C4×#67C23semidirect
227. C2×#926C23semidirect
228. C2×#924C23semidirect
229. C2×#924C23semidirect
230. #5720C23semidirect
231. #5719C23semidirect
232. #5719C23semidirect
233. #5718C23semidirect
234. #5718C23semidirect
235. #5718C23semidirect
236. #5717C23semidirect
237. #5717C23semidirect
238. #5716C23semidirect
239. #5716C23semidirect
240. #5715C23semidirect
241. #5715C23semidirect
242. D3×#127C23semidirect
243. #5713C23semidirect
244. #5713C23semidirect
245. #5621C23semidirect
246. #5620C23semidirect
247. #5619C23semidirect
248. #5618C23semidirect
249. #5617C23semidirect
250. #5616C23semidirect
251. #5615C23semidirect
252. #5614C23semidirect
253. #5613C23semidirect
254. #5612C23semidirect
255. #5611C23semidirect
256. #5610C23semidirect
257. #5609C23semidirect
258. #5608C23semidirect
259. #5607C23semidirect
260. #5606C23semidirect
261. #5605C23semidirect
262. D3×#121C23semidirect
263. #5603C23semidirect
264. #5602C23semidirect
265. #5601C23semidirect
266. #5600C23semidirect
267. #5599C23semidirect
268. #5598C23semidirect
269. #5597C23semidirect
270. #5596C23semidirect
271. #5595C23semidirect
272. #5595C23semidirect
273. #5594C23semidirect
274. #5593C23semidirect
275. #5593C23semidirect
276. #5593C23semidirect
277. #5592C23semidirect
278. #5592C23semidirect
279. #5591C23semidirect
280. #5591C23semidirect
281. #5591C23semidirect
282. #5590C23semidirect
283. #5590C23semidirect
284. #5589C23semidirect
285. #5589C23semidirect
286. D3×#120C23semidirect
287. #5587C23semidirect
288. #5587C23semidirect
289. #5586C23semidirect
290. #5586C23semidirect
291. #5565C23semidirect
292. #5564C23semidirect
293. #5563C23semidirect
294. #5562C23semidirect
295. #5561C23semidirect
296. #5560C23semidirect
297. #5559C23semidirect
298. #5558C23semidirect
299. #5557C23semidirect
300. #5556C23semidirect
301. #5555C23semidirect
302. #5554C23semidirect
303. #5553C23semidirect
304. #5552C23semidirect
305. #5551C23semidirect
306. #5550C23semidirect
307. D4×D12C23semidirect
308. #5548C23semidirect
309. #5547C23semidirect
310. #5546C23semidirect
311. #5545C23semidirect
312. C4×D3×D4C23semidirect
313. #5543C23semidirect
314. #5542C23semidirect
315. #5541C23semidirect
316. #5540C23semidirect
317. #5539C23semidirect
318. #5538C23semidirect
319. D4×Dic6C23semidirect
320. C4×#237C23semidirect
321. #5515C23semidirect
322. #5514C23semidirect
323. #5513C23semidirect
324. #5511C23semidirect
325. #5510C23semidirect
326. #5507C23semidirect
327. #5504C23semidirect
328. #5500C23semidirect
329. #5495C23semidirect
330. #5495C23semidirect
331. #5495C23semidirect
332. #5494C23semidirect
333. #5494C23semidirect
334. #5494C23semidirect
335. #5493C23semidirect
336. #5493C23semidirect
337. #5490C23semidirect
338. #5490C23semidirect
339. #5490C23semidirect
340. #5486C23semidirect
341. #5486C23semidirect
342. #5483C23semidirect
343. #5483C23semidirect
344. #5479C23semidirect
345. #5479C23semidirect
346. #5479C23semidirect
347. #5477C23semidirect
348. #5477C23semidirect
349. C4×#235C23semidirect
350. C4×#235C23semidirect
351. #5470C23semidirect
352. #5470C23semidirect
353. C24×D4C2×D3semidirect
354. C2×D42C2×D3semidirect
355. C2×D42C2×D3semidirect
356. C2×D42C2×D3semidirect
357. C2×D42C2×D3semidirect
358. C22×#127C2×D3semidirect
359. C22×#121C2×D3semidirect
360. C22×#120C2×D3semidirect
361. C22×C4×D4C2×D3semidirect
367. C24×D3C24semidirect
402. C22×#67C24semidirect
403. C22×#67C24semidirect
404. C22×#67C24semidirect
405. C22×#67C24semidirect
406. C22×#67C24semidirect
407. C23×Dic3C24semidirect
408. C23×Dic3C24semidirect
410. C2×#237C24semidirect
411. C2×#237C24semidirect
412. C2×#237C24semidirect
414. C2×D3×D4C24semidirect
415. C2×D3×D4C24semidirect
416. C2×D3×D4C24semidirect
420. C2×#235C24semidirect
421. C2×#235C24semidirect
422. C22×D12C24semidirect
423. C22×C4×D3C24semidirect
424. C22×Dic6C24semidirect
460. #953C24semidirect
461. #953C24semidirect
462. #953C24semidirect
463. #953C24semidirect
469. C2×#217C24semidirect
470. C2×#217C24semidirect
471. C2×#217C24semidirect
472. C2×#217C24semidirect
473. C2×#217C24semidirect
475. #940C24semidirect
476. #940C24semidirect
477. #940C24semidirect
480. #939C24semidirect
481. #939C24semidirect
482. #939C24semidirect
483. #939C24semidirect
484. #939C24semidirect
485. #939C24semidirect
486. #939C24semidirect
489. #938C24semidirect
490. #938C24semidirect
491. #938C24semidirect
492. #938C24semidirect
493. #938C24semidirect
495. #937C24semidirect
496. #937C24semidirect
497. #937C24semidirect
498. #937C24semidirect
500. #936C24semidirect
501. #936C24semidirect
502. #936C24semidirect
504. #935C24semidirect
505. #935C24semidirect
506. #935C24semidirect
507. #935C24semidirect
510. D4×Dic3C24semidirect
511. D4×Dic3C24semidirect
512. D4×Dic3C24semidirect
513. D4×Dic3C24semidirect
514. D4×Dic3C24semidirect
520. #930C24semidirect
521. #930C24semidirect
522. #930C24semidirect
523. #930C24semidirect
527. #929C24semidirect
528. #929C24semidirect
534. C4×#67C24semidirect
535. C4×#67C24semidirect
536. C4×#67C24semidirect
537. C4×#67C24semidirect
538. C2×(C2×D3)⋊C4C24semidirect
539. C2×(C2×D3)⋊C4C24semidirect
543. #926C24semidirect
544. #926C24semidirect
545. C2×C4⋊Dic3C24semidirect
546. C2×C4⋊Dic3C24semidirect
552. #924C24semidirect
553. #924C24semidirect
554. #924C24semidirect
555. #924C24semidirect
556. C2×Dic3⋊C4C24semidirect
557. C2×Dic3⋊C4C24semidirect
558. C2×C4×Dic3C24semidirect
559. #898C24semidirect
560. #897C24semidirect
561. #896C24semidirect
562. #895C24semidirect
563. #894C24semidirect
564. #893C24semidirect
565. #892C24semidirect
566. D3×C4⋊C4C24semidirect
567. #890C24semidirect
568. #889C24semidirect
569. #888C24semidirect
570. #887C24semidirect
571. #886C24semidirect
572. #886C24semidirect
573. #885C24semidirect
574. #885C24semidirect
575. #885C24semidirect
576. #884C24semidirect
577. #884C24semidirect
578. #884C24semidirect
579. #883C24semidirect
580. #883C24semidirect
581. #883C24semidirect
582. #882C24semidirect
583. #882C24semidirect
584. #67⋊C4C24semidirect
585. #67⋊C4C24semidirect
586. #67⋊C4C24semidirect
587. D3×C22⋊C4C24semidirect
588. D3×C22⋊C4C24semidirect
589. #879C24semidirect
590. #879C24semidirect
591. #879C24semidirect
592. #878C24semidirect
593. #878C24semidirect
594. #878C24semidirect
595. #877C24semidirect
596. #877C24semidirect
597. #876C24semidirect
598. #875C24semidirect
599. #875C24semidirect
600. #874C24semidirect
601. C4×D12C24semidirect
602. C4×D12C24semidirect
603. C4×D12C24semidirect
604. #872C24semidirect
605. #872C24semidirect
606. C42×D3C24semidirect
607. #870C24semidirect
608. #870C24semidirect
609. #869C24semidirect
610. #869C24semidirect
611. C4×Dic6C24semidirect
612. C4×Dic6C24semidirect
613. C4×Dic6C24semidirect
614. C26C22×D3semidirect
617. C23×D4C22×D3semidirect
618. C23×D4C22×D3semidirect
619. C23×D4C22×D3semidirect
620. C23×D4C22×D3semidirect
621. C23×D4C22×D3semidirect
622. C23×D4C22×D3semidirect
623. C23×D4C22×D3semidirect
624. C23×D4C22×D3semidirect
625. C24×C4C22×D3semidirect
626. D42C22×D3semidirect
627. D42C22×D3semidirect
628. D42C22×D3semidirect
629. D42C22×D3semidirect
630. D42C22×D3semidirect
631. D42C22×D3semidirect
632. C2×#127C22×D3semidirect
633. C2×#127C22×D3semidirect
634. C2×#127C22×D3semidirect
635. C2×#121C22×D3semidirect
636. C2×#121C22×D3semidirect
637. C2×#121C22×D3semidirect
638. C2×#121C22×D3semidirect
639. C2×#121C22×D3semidirect
640. C2×#120C22×D3semidirect
641. C2×#120C22×D3semidirect
642. C2×#120C22×D3semidirect
644. C2×C4×D4C22×D3semidirect
645. C2×C4×D4C22×D3semidirect
646. C2×C4×D4C22×D3semidirect
647. C2×C4×D4C22×D3semidirect
648. C2×C4×D4C22×D3semidirect
649. C22×C4⋊C4C22×D3semidirect
650. C22×C22⋊C4C22×D3semidirect
651. C22×C22⋊C4C22×D3semidirect
652. C22×C42C22×D3semidirect
665. C2×C3×D4H(5,𝔽2)semidirect
804. C23×C3C2×H(5,𝔽2)semidirect
811. C3×D4C2×H(5,𝔽2)semidirect
812. C2×C3×C4C2×H(5,𝔽2)semidirect
829. C2×D4#1004semidirect
864. C23C2×#1004semidirect
870. D4C2×#1004semidirect
871. C2×C4C2×#1004semidirect
883. C3#10586472semidirect

Maximal subgroups

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

subgroupindex
#117077182
#117076902
#117073022
D4×#10042
#117055192
#117050572
#117040692
#117038202
#117038052
#117032212
C2×#872392
C22×C3×D422
#105864723