Finite Group Databasebeta

← C2×#26220 #6441834

Subgroups — C2×#26220 #6441834

Order 512.

2456 conjugacy classes of subgroups.

The subgroup lattice has 735 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2415C211yesmaximal, characteristic
2C2×D4×C4⋊C4C211yesmaximal, characteristic
3#26220C2116yesmaximal, direct product factor
4C2×#2099C211yesmaximal, characteristic, complemented
5C2×#2077C211yesmaximal, characteristic, complemented
6C2×#2072C211yesmaximal, characteristic, complemented
7C2×#2036C211yesmaximal, characteristic, complemented
8C2×#1927C211yesmaximal, characteristic, complemented
9C2×#1918C211yesmaximal, characteristic, complemented
10C2×#1894C211yesmaximal, characteristic, complemented
11C2×#1872C211yesmaximal, characteristic, complemented
12C2×#1872C211yesmaximal, characteristic, complemented
13C2×#1870C211yesmaximal, characteristic
14C2×#1854C211yesmaximal, characteristic, complemented
15C2×#1824C211yesmaximal, characteristic, complemented
16C2×#1736C211yesmaximal, characteristic, complemented
17C23×M16C2211yescharacteristic
18C22×C22⋊Q8C2211yescharacteristic
19C22×C22⋊Q8C2211yescharacteristic
20C22×C4×D4—21no—
21C22×C4×D4C2211yescharacteristic
22C22×#117C2211yescharacteristic
23C23×C4⋊C4C2211yescharacteristic
24C23×C4⋊C4C2211yescharacteristic
25C22×#107C2211yescharacteristic
26C22×#106C2211yescharacteristic
27C22×#103C2211yescharacteristic
28C22×#103C2211yescharacteristic
29C22×#103C2211yescharacteristic
30C22×#103C2211yescharacteristic
31C22×C22⋊C8C2211yescharacteristic
32C22×C22⋊C8C2211yescharacteristic
33C22×C22⋊C8C2211yescharacteristic
34#2415—24no—
35#2415C2218yes—
36C2×#397—21no—
37C2×#394—21no—
38D4×C4⋊C4—24no—
39D4×C4⋊C4C2218yes—
40C2×#391C2211yescharacteristic
41C2×#389—21no—
42C2×#389—21no—
43C2×#389C2211yescharacteristic
44C2×#388—21no—
45C2×#385—21no—
46C2×#385—21no—
47C2×#384C2211yescharacteristic
48C2×#380C2211yescharacteristic
49C2×#380C2211yescharacteristic
50C2×#380C2211yescharacteristic
51C2×C4×C4⋊C4C2211yescharacteristic
52#2099C2218yescomplemented
53#2077C2218yescomplemented
54#2072C2218yescomplemented
55#2036C2218yescomplemented
56#1927C2218yescomplemented
57#1918C2218yescomplemented
58#1894C2218yescomplemented
59#1872C2218yescomplemented
60#1872C2218yescomplemented
61#1870C2218yes—
62#1854C2218yescomplemented
63#1824C2218yescomplemented
64#1736C2218yescomplemented
65C2×#340C2211yescharacteristic
66C2×#340C2211yescharacteristic
67C2×#340C2211yescharacteristic
68C2×#340C2211yescharacteristic
69C2×#340C2211yescharacteristic
70C2×#340C2211yescharacteristic
71C2×#340C2211yescharacteristic
72C2×#340C2211yescharacteristic
73C2×#340C2211yescharacteristic
74C2×#340C2211yescharacteristic
75C2×#336C2211yescharacteristic
76C2×#336C2211yescharacteristic
77C23×Q8C2311yescharacteristic
78C23×D4D411yescharacteristic
79C24×C4—21no—
80C24×C4—21no—
81C24×C4C2311yescharacteristic
82C24×C4C2311yescharacteristic
83C22×M16—24no—
84C22×M16—42no—
85C22×M16—42no—
86C22×M16C2314yes—
87C23×C8C2311yescharacteristic
88C23×C8C2311yescharacteristic
89C23×C8C2311yescharacteristic
90C23×C8C2311yescharacteristic
91C2×C22⋊Q8—22no—
92C2×C22⋊Q8—22no—
93C2×C22⋊Q8—24no—
94C2×C22⋊Q8—24no—
95C2×C22⋊Q8—24no—
96C2×C22⋊Q8—42no—
97C2×C22⋊Q8C2314yes—
98C2×C22⋊Q8C2314yes—
99C2×C4×D4—24no—
100C2×C4×D4—24no—
101C2×C4×D4—28no—
102C2×C4×D4—48no—
103C2×C4×D4D414yes—
104C2×C4×D4C2314yes—
105C2×#117—22no—
106C2×#117—24no—
107C2×#117—42no—
108C2×#117C2314yes—
109C22×C4⋊C4—24no—
110C22×C4⋊C4—24no—
111C22×C4⋊C4—22no—
112C22×C4⋊C4—22no—
113C22×C4⋊C4—21no—
114C22×C4⋊C4—21no—
115C22×C4⋊C4—21no—
116C22×C4⋊C4—21no—
117C22×C4⋊C4—21no—
118C22×C4⋊C4—21no—
119C22×C4⋊C4—21no—
120C22×C4⋊C4—42no—
121C22×C4⋊C4—42no—
122C22×C4⋊C4D411yescharacteristic
123C22×C4⋊C4C2311yescharacteristic
124C22×C4⋊C4C2311yescharacteristic
125C22×C4⋊C4C2311yescharacteristic
126C22×C4⋊C4C2311yescharacteristic
127C22×C4⋊C4C2311yescharacteristic
128C22×C4⋊C4C2314yes—
129C22×C4⋊C4C2314yes—
130C22×C4⋊C4C2311yescharacteristic
131C22×C4⋊C4C2311yescharacteristic
132C22×C22⋊C4—21no—
133C22×C22⋊C4—21no—
134C22×C22⋊C4—21no—
135C22×C22⋊C4—21no—
136C22×C22⋊C4—21no—
137C22×C22⋊C4—21no—
138C22×C22⋊C4D411yescharacteristic
139C22×C22⋊C4D411yescharacteristic
140C22×C42—21no—
141C22×C42—21no—
142C22×C42C2311yescharacteristic
143C2×#107—24no—
144C2×#107C2314yes—
145C2×#106—42no—
146C2×#106C2314yes—
147C2×#103—24no—
148C2×#103—42no—
149C2×#103—42no—
150C2×#103—42no—
151C2×#103C2314yes—
152C2×#103C2314yes—
153C2×#103C2314yes—
154C2×#103C2314yes—
155C2×C22⋊C8—24no—
156C2×C22⋊C8—42no—
157C2×C22⋊C8—42no—
158C2×C22⋊C8C2314yes—
159C2×C22⋊C8C2314yes—
160C2×C22⋊C8C2314yes—
161#397—28no—
162#394—28no—
163#391—22no—
164#391C2314yes—
165#389—28no—
166#389—28no—
167#389—22no—
168#389C2314yes—
169#388—28no—
170#385—28no—
171#385—28no—
172#384—22no—
173#384C2314yes—
174#380—22no—
175#380—22no—
176#380—22no—
177#380C2314yes—
178#380C2314yes—
179#380C2314yes—
180C4×C4⋊C4—22no—
181C4×C4⋊C4C2314yes—
182C2×#95—21no—
183C2×#95—21no—
184C2×#95—21no—
185C2×#95—21no—
186C2×#95—21no—
187C2×#95—21no—
188C2×#95—21no—
189#340C2314yes—
190#340C2314yes—
191#340C2314yes—
192#340C2314yes—
193#340C2314yes—
194#340C2314yes—
195#340C2314yes—
196#340C2314yes—
197#340C2314yes—
198#340C2314yes—
199#336C2314yes—
200#336C2314yes—
201C25C2×D411yescharacteristic
202C25C2×D411yescharacteristic
203C22×Q8—21no—
204C22×Q8—22no—
205C22×Q8—22no—
206C22×Q8—22no—
207C22×Q8—22no—
208C22×Q8—22no—
209C22×Q8—22no—
210C22×Q8C2412yes—
211C22×D4—24no—
212C22×D4—24no—
213C22×D4—24no—
214C22×D4C2×D414yes—
215C23×C4—22no—
216C23×C4—22no—
217C23×C4—22no—
218C23×C4—22no—
219C23×C4—21no—
220C23×C4—21no—
221C23×C4—22no—
222C23×C4—22no—
223C23×C4—22no—
224C23×C4—22no—
225C23×C4—22no—
226C23×C4—22no—
227C23×C4—21no—
228C23×C4—21no—
229C23×C4—21no—
230C23×C4—21no—
231C23×C4—21no—
232C23×C4—21no—
233C23×C4—24no—
234C23×C4—24no—
235C23×C4—44no—
236C23×C4—44no—
237C23×C4—44no—
238C23×C4—44no—
239C23×C4—82no—
240C23×C4—82no—
241C23×C4C2×D412yes—
242C23×C4C2×D411yescharacteristic
243C23×C4C2×D411yescharacteristic
244C23×C4C2×D412yes—
245C23×C4C2×D411yescharacteristic
246C23×C4C2×D411yescharacteristic
247C23×C4#4114yes—
248C23×C4#4114yes—
249C23×C4C2412yes—
250C23×C4C2412yes—
251C23×C4C2411yescharacteristic
252C2×M16—28no—
253C2×M16—44no—
254C2×M16—44no—
255C2×M16—416no—
256C22×C8—22no—
257C22×C8—22no—
258C22×C8—22no—
259C22×C8—22no—
260C22×C8—22no—
261C22×C8—22no—
262C22×C8—22no—
263C22×C8—22no—
264C22×C8—22no—
265C22×C8—22no—
266C22×C8—22no—
267C22×C8—22no—
268C22×C8C2412yes—
269C22×C8C2412yes—
270C22×C8C2412yes—
271C22×C8C2412yes—
272C22⋊Q8—28no—
273C22⋊Q8—28no—
274C22⋊Q8—28no—
275C22⋊Q8—44no—
276C22⋊Q8—48no—
277C22⋊Q8—48no—
278C4×D4—216no—
279C4×D4—28no—
280C4×D4—28no—
281C4×D4—432no—
282#117—28no—
283#117—44no—
284#117—48no—
285C2×C4⋊C4—24no—
286C2×C4⋊C4—21no—
287C2×C4⋊C4—21no—
288C2×C4⋊C4—22no—
289C2×C4⋊C4—22no—
290C2×C4⋊C4—22no—
291C2×C4⋊C4—22no—
292C2×C4⋊C4—22no—
293C2×C4⋊C4—22no—
294C2×C4⋊C4—22no—
295C2×C4⋊C4—22no—
296C2×C4⋊C4—22no—
297C2×C4⋊C4—22no—
298C2×C4⋊C4—22no—
299C2×C4⋊C4—22no—
300C2×C4⋊C4—28no—
301C2×C4⋊C4—28no—
302C2×C4⋊C4—21no—
303C2×C4⋊C4—21no—
304C2×C4⋊C4—24no—
305C2×C4⋊C4—24no—
306C2×C4⋊C4—24no—
307C2×C4⋊C4—24no—
308C2×C4⋊C4—24no—
309C2×C4⋊C4—24no—
310C2×C4⋊C4—21no—
311C2×C4⋊C4—21no—
312C2×C4⋊C4—21no—
313C2×C4⋊C4—24no—
314C2×C4⋊C4—44no—
315C2×C4⋊C4—44no—
316C2×C4⋊C4—48no—
317C2×C4⋊C4—48no—
318C2×C4⋊C4—44no—
319C2×C4⋊C4—44no—
320C2×C4⋊C4—44no—
321C2×C4⋊C4—44no—
322C2×C4⋊C4—44no—
323C2×C4⋊C4—44no—
324C2×C4⋊C4—82no—
325C2×C4⋊C4C2×D414yes—
326C2×C4⋊C4#4114yes—
327C2×C4⋊C4#4114yes—
328C2×C4⋊C4C2412yes—
329C2×C4⋊C4C2412yes—
330C2×C4⋊C4C2412yes—
331C2×C4⋊C4C2412yes—
332C2×C4⋊C4C2412yes—
333C2×C4⋊C4C2412yes—
334C2×C4⋊C4C2412yes—
335C2×C22⋊C4—24no—
336C2×C22⋊C4—24no—
337C2×C22⋊C4—24no—
338C2×C22⋊C4—24no—
339C2×C22⋊C4—24no—
340C2×C22⋊C4—24no—
341C2×C22⋊C4—24no—
342C2×C22⋊C4—24no—
343C2×C22⋊C4—44no—
344C2×C22⋊C4—44no—
345C2×C22⋊C4—44no—
346C2×C22⋊C4—44no—
347C2×C22⋊C4—44no—
348C2×C22⋊C4—44no—
349C2×C22⋊C4C2×D414yes—
350C2×C22⋊C4C2×D414yes—
351C2×C42—22no—
352C2×C42—22no—
353C2×C42—24no—
354C2×C42—24no—
355C2×C42—44no—
356C2×C42—44no—
357C2×C42C2×D412yes—
358C2×C42C2412yes—
359#107—28no—
360#106—44no—
361#103—28no—
362#103—44no—
363#103—44no—
364#103—44no—
365C22⋊C8—28no—
366C22⋊C8—44no—
367C22⋊C8—44no—
368#95—24no—
369#95—24no—
370#95—24no—
371#95—24no—
372#95—24no—
373#95—24no—
374#95—24no—
375C24—22no—
376C24—22no—
377C24—22no—
378C24—22no—
379C24—22no—
380C24—22no—
381C24—22no—
382C24—22no—
383C24—22no—
384C24—22no—
385C24—22no—
386C24—22no—
387C24#12314yes—
388C24#13714yes—
389C24C22×D412yes—
390C24C22×D412yes—
391C24C22×D411yescharacteristic
392C2×Q8—22no—
393C2×Q8—22no—
394C2×Q8—22no—
395C2×Q8—22no—
396C2×Q8—22no—
397C2×Q8—22no—
398C2×Q8—42no—
399C2×Q8—42no—
400C2×Q8—42no—
401C2×Q8—44no—
402C2×Q8—44no—
403C2×Q8—44no—
404C2×Q8—44no—
405C2×D4—232no—
406C2×D4—28no—
407C2×D4—28no—
408C2×D4—28no—
409C22×C4—22no—
410C22×C4—22no—
411C22×C4—22no—
412C22×C4—22no—
413C22×C4—28no—
414C22×C4—28no—
415C22×C4—24no—
416C22×C4—24no—
417C22×C4—28no—
418C22×C4—28no—
419C22×C4—22no—
420C22×C4—22no—
421C22×C4—22no—
422C22×C4—22no—
423C22×C4—22no—
424C22×C4—22no—
425C22×C4—24no—
426C22×C4—24no—
427C22×C4—22no—
428C22×C4—22no—
429C22×C4—22no—
430C22×C4—22no—
431C22×C4—22no—
432C22×C4—22no—
433C22×C4—24no—
434C22×C4—24no—
435C22×C4—24no—
436C22×C4—22no—
437C22×C4—22no—
438C22×C4—22no—
439C22×C4—22no—
440C22×C4—22no—
441C22×C4—22no—
442C22×C4—22no—
443C22×C4—22no—
444C22×C4—22no—
445C22×C4—22no—
446C22×C4—22no—
447C22×C4—22no—
448C22×C4—48no—
449C22×C4—48no—
450C22×C4—42no—
451C22×C4—42no—
452C22×C4—42no—
453C22×C4—42no—
454C22×C4—44no—
455C22×C4—44no—
456C22×C4—44no—
457C22×C4—44no—
458C22×C4—48no—
459C22×C4—48no—
460C22×C4—42no—
461C22×C4—42no—
462C22×C4—42no—
463C22×C4—42no—
464C22×C4—42no—
465C22×C4—42no—
466C22×C4—42no—
467C22×C4—42no—
468C22×C4—42no—
469C22×C4—42no—
470C22×C4—42no—
471C22×C4—42no—
472C22×C4—42no—
473C22×C4—42no—
474C22×C4—42no—
475C22×C4—42no—
476C22×C4—42no—
477C22×C4—42no—
478C22×C4—84no—
479C22×C4—84no—
480C22×C4—816no—
481C22×C4—816no—
482C22×C4#12314yes—
483C22×C4#12318yes—
484C22×C4AGL(1,ℤ/8)14yes—
485C22×C4C22×D412yes—
486C22×C4C22×D412yes—
487C22×C4C22×D412yes—
488C22×C4C22×D412yes—
489C22×C4C22×D411yescharacteristic
490C22×C4C2×#4114yes—
491C22×C4C2×#4114yes—
492C22×C4C2×#4112yes—
493C22×C4C2×#4112yes—
494C22×C4C2×#4112yes—
495C22×C4C2×#4112yes—
496C22×C4H(5,𝔽2)12yes—
497C22×C4H(5,𝔽2)12yes—
498C22×C4C2511yescharacteristic
499M16—416no—
500C2×C8—22no—
501C2×C8—22no—
502C2×C8—22no—
503C2×C8—22no—
504C2×C8—22no—
505C2×C8—22no—
506C2×C8—22no—
507C2×C8—22no—
508C2×C8—22no—
509C2×C8—22no—
510C2×C8—22no—
511C2×C8—22no—
512C2×C8—44no—
513C2×C8—44no—
514C2×C8—44no—
515C2×C8—44no—
516C4⋊C4—28no—
517C4⋊C4—24no—
518C4⋊C4—24no—
519C4⋊C4—22no—
520C4⋊C4—22no—
521C4⋊C4—22no—
522C4⋊C4—22no—
523C4⋊C4—22no—
524C4⋊C4—22no—
525C4⋊C4—22no—
526C4⋊C4—22no—
527C4⋊C4—22no—
528C4⋊C4—22no—
529C4⋊C4—22no—
530C4⋊C4—22no—
531C4⋊C4—48no—
532C4⋊C4—48no—
533C4⋊C4—48no—
534C4⋊C4—42no—
535C4⋊C4—48no—
536C4⋊C4—42no—
537C4⋊C4—42no—
538C4⋊C4—42no—
539C4⋊C4—42no—
540C4⋊C4—48no—
541C4⋊C4—48no—
542C4⋊C4—84no—
543C4⋊C4C2×#4114yes—
544C4⋊C4C2×#4114yes—
545C22⋊C4—28no—
546C22⋊C4—28no—
547C22⋊C4—48no—
548C22⋊C4—48no—
549C22⋊C4—48no—
550C22⋊C4—48no—
551C22⋊C4—48no—
552C22⋊C4—48no—
553C42—24no—
554C42—22no—
555C42—22no—
556C42—48no—
557C42—48no—
558C23—28no—
559C23—28no—
560C23—28no—
561C23—22no—
562C23—22no—
563C23—22no—
564C23—22no—
565C23—22no—
566C23—28no—
567C23—28no—
568C23—28no—
569C23—22no—
570C23—22no—
571C23—22no—
572C23—22no—
573C23—22no—
574C23—22no—
575C23—22no—
576C23—44no—
577C23—44no—
578C23—44no—
579C23—44no—
580C23—44no—
581C23—44no—
582C23—44no—
583C23—44no—
584C23C2×#12314yes—
585C23C2×#12312yes—
586C23#54612yes—
587C23#54612yes—
588C23C2×AGL(1,ℤ/8)12yes—
589C23C2×#13714yes—
590C23C2×#13712yes—
591C23#57712yes—
592C23#57812yes—
593C23C23×D411yescharacteristic
594Q8—42no—
595Q8—42no—
596Q8—42no—
597Q8—42no—
598Q8—84no—
599D4—232no—
600C2×C4—28no—
601C2×C4—22no—
602C2×C4—22no—
603C2×C4—22no—
604C2×C4—28no—
605C2×C4—22no—
606C2×C4—24no—
607C2×C4—24no—
608C2×C4—216no—
609C2×C4—24no—
610C2×C4—24no—
611C2×C4—22no—
612C2×C4—22no—
613C2×C4—24no—
614C2×C4—24no—
615C2×C4—22no—
616C2×C4—22no—
617C2×C4—22no—
618C2×C4—22no—
619C2×C4—48no—
620C2×C4—44no—
621C2×C4—44no—
622C2×C4—42no—
623C2×C4—42no—
624C2×C4—48no—
625C2×C4—42no—
626C2×C4—42no—
627C2×C4—42no—
628C2×C4—42no—
629C2×C4—48no—
630C2×C4—42no—
631C2×C4—42no—
632C2×C4—42no—
633C2×C4—42no—
634C2×C4—42no—
635C2×C4—42no—
636C2×C4—42no—
637C2×C4—42no—
638C2×C4—42no—
639C2×C4—42no—
640C2×C4—42no—
641C2×C4—42no—
642C2×C4—42no—
643C2×C4—42no—
644C2×C4—42no—
645C2×C4—42no—
646C2×C4—42no—
647C2×C4—42no—
648C2×C4—42no—
649C2×C4—42no—
650C2×C4—816no—
651C2×C4—816no—
652C2×C4—84no—
653C2×C4—84no—
654C2×C4—84no—
655C2×C4—84no—
656C2×C4—84no—
657C2×C4—84no—
658C2×C4C2×#12314yes—
659C2×C4C2×#12312yes—
660C2×C4#52914yes—
661C2×C4#53814yes—
662C2×C4#54612yes—
663C2×C4#54612yes—
664C2×C4#55314yes—
665C2×C4#55314yes—
666C2×C4C2×AGL(1,ℤ/8)14yes—
667C2×C4C22×#4111yescharacteristic
668C2×C4C22×#4111yescharacteristic
669C2×C4C22×#4111yescharacteristic
670C2×C4C22×#4111yescharacteristic
671C2×C4C2×H(5,𝔽2)11yescharacteristic
672C2×C4C2×H(5,𝔽2)11yescharacteristic
673C8—42no—
674C8—42no—
675C8—42no—
676C8—42no—
677C22—24no—
678C22—24no—
679C22—24no—
680C22—24no—
681C22—24no—
682C22—24no—
683C22—42no—
684C22—416no—
685C22—416no—
686C22—42no—
687C22—42no—
688C22—42no—
689C22—42no—
690C22—42no—
691C22—42no—
692C22—42no—
693C22#244414yes—
694C22#309214yes—
695C22#309714yes—
696C22#331214yes—
697C22#331614yes—
698C22#332414yes—
699C22#333014yes—
700C22C22×#12311yescharacteristic
701C22C2×#54611yescharacteristic
702C22C2×#54611yescharacteristic
703C22C22×AGL(1,ℤ/8)11yescharacteristic
704C22C22×#13711yescharacteristic
705C22C2×#57711yescharacteristic
706C22C2×#57811yescharacteristic
707C4—24no—
708C4—24no—
709C4—42no—
710C4—42no—
711C4—44no—
712C4—44no—
713C4—82no—
714C4—82no—
715C4—82no—
716C4—82no—
717C4—82no—
718C4—82no—
719C4#244414yes—
720C4C2×#52911yescharacteristic
721C4C2×#53811yescharacteristic
722C4C2×#55311yescharacteristic
723C4C2×#55311yescharacteristic
724C2—44no—
725C2—44no—
726C2#2622018yesdirect product factor
727C2C2×#244411yescharacteristic
728C2C2×#309211yescharacteristic
729C2C2×#309711yescharacteristic
730C2C2×#331611yescharacteristic
731C2C2×#331211yescharacteristic
732C2C2×#332411yescharacteristic
733C2C2×#333011yescharacteristic
subgroupG/H
center, socleC24C22×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC23×D4D4
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C24 ◁ C22×C4×D4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
3. #26220C2direct (N × H)
4. C2×#2099C2semidirect
5. C2×#2077C2semidirect
6. C2×#2072C2semidirect
7. C2×#2036C2semidirect
8. C2×#1927C2semidirect
9. C2×#1918C2semidirect
10. C2×#1894C2semidirect
11. C2×#1872C2semidirect
12. C2×#1872C2semidirect
14. C2×#1854C2semidirect
15. C2×#1824C2semidirect
16. C2×#1736C2semidirect
52. #2099C22semidirect
53. #2077C22semidirect
54. #2072C22semidirect
55. #2036C22semidirect
56. #1927C22semidirect
57. #1918C22semidirect
58. #1894C22semidirect
59. #1872C22semidirect
60. #1872C22semidirect
62. #1854C22semidirect
63. #1824C22semidirect
64. #1736C22semidirect
726. C2#26220direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#24152
C2×D4×C4⋊C42
#262202
C2×#20992
C2×#20772
C2×#20722
C2×#20362
C2×#19272
C2×#19182
C2×#18942
C2×#18722
C2×#18702
C2×#18542
C2×#18242
C2×#17362