Finite Group Databasebeta

← C2×#11722857 #13170615

Subgroups — C2×#11722857 #13170615

Order 1728.

1394 conjugacy classes of subgroups.

The subgroup lattice has 742 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#89014C211yesmaximal, characteristic, complemented
2C2×C3×#3796C211yesmaximal, characteristic, complemented
3C2×#88808C211yesmaximal, characteristic, complemented
4C2×#88799C211yesmaximal, characteristic, complemented
5C2×#88794C211yesmaximal, characteristic, complemented
6C2×C3×#3715C211yesmaximal, characteristic, complemented
7C2×C3×#3713C211yesmaximal, characteristic, complemented
8#11722857C218yesmaximal, direct product factor
9C2×#63947—31nomaximal
10C2×#63936—31nomaximal
11C2×#63933—31nomaximal
12C2×#6308C2211yescharacteristic
13C2×C3×C4×C3⋊D3C2211yescharacteristic
14C2×C32×D12C2211yescharacteristic
15C2×C32×D12C2211yescharacteristic
16C2×C32×Dic6C2211yescharacteristic
17C2×#6290—21no—
18C2×D3×C3⋊Dic3—21no—
19#89014—22no—
20#89014C2214yescomplemented
21C2×C3×#626—21no—
22C2×C3×D3×Dic3—21no—
23C3×#3796—22no—
24C3×#3796C2214yescomplemented
25C2×C3×C3⋊(C3⋊C8)C2211yescharacteristic
26C2×C3×C3⋊(C3⋊C8)C2211yescharacteristic
27#88808C2214yescomplemented
28#88799C2214yescomplemented
29#88794C2214yescomplemented
30C3×#3715C2214yescomplemented
31C3×#3713C2214yescomplemented
32C2×#3830—31no—
33C2×C3×#239—31no—
34C2×C3×#237—31no—
35C2×#3796D311yescharacteristic, complemented
36C2×#3795—31no—
37C2×#3795—31no—
38C2×#3795—61no—
39C2×#3756—31no—
40C2×#3754—31no—
41C2×C3×#215—31no—
42C2×C3×#214—31no—
43C2×C3×#213—31no—
44C2×C3×#213—31no—
45#63947—38no—
46#63936—38no—
47#63933—38no—
48C2×#3719—31no—
49C2×#3719—31no—
50C2×#3719—61no—
51C2×#3716—31no—
52C2×#3716—31no—
53C2×#3716—61no—
54C2×#3715D311yescharacteristic, complemented
55C2×#3713D311yescharacteristic, complemented
56C2×#3710—31no—
57C2×D3×C3⋊C8—31no—
58C2×D3×C3⋊C8—31no—
59C22×C3×C3⋊D3D411yescharacteristic
60C22×C32×D3—21no—
61C22×C32×D3—21no—
62C2×C33×C4C2311yescharacteristic
63C2×C3⋊(C3⋊Dic3)—21no—
64#6308—21no—
65#6308C2312yes—
66C2×C3×C3⋊Dic3D411yescharacteristic
67C3×C4×C3⋊D3D412yes—
68C3×C4×C3⋊D3C2312yes—
69C2×C32×Dic3—21no—
70C32×D12—21no—
71C32×D12—21no—
72C32×D12C2312yes—
73C32×D12C2312yes—
74C32×Dic6—21no—
75C32×Dic6C2312yes—
76#6290—24no—
77D3×C3⋊Dic3—24no—
78C3×#626—24no—
79C3×D3×Dic3—24no—
80C3×C3⋊(C3⋊C8)C2312yes—
81C3×C3⋊(C3⋊C8)C2312yes—
82C2×#950—91no—
83C2×#916—91no—
84C2×#912—91no—
85C2×C32×Q8—31no—
86C2×C32×D4—31no—
87C2×C32×D4—31no—
88C2×#638—61no—
89C22×C3⋊Dic3—61no—
90#3830—34no—
91#3830—62no—
92C2×C4×C3⋊D3C2×D311yescharacteristic
93C2×#634—31no—
94C2×#634—31no—
95C2×#634—31no—
96C2×#634—61no—
97C2×#634—61no—
98C2×#634—61no—
99C2×#634—121no—
100C2×C3×#67—61no—
101C22×C3×Dic3—61no—
102C3×#239—34no—
103C3×#239—62no—
104C3×#237—34no—
105C3×#237—62no—
106C2×C3×D12—21no—
107C2×C3×D12—21no—
108C2×C3×D12—61no—
109C2×C3×D12C2×D311yescharacteristic
110C2×C3×D12C2×D311yescharacteristic
111C2×C3×D12C2×D311yescharacteristic
112C2×C3×D12C2×D311yescharacteristic
113C2×C3×C4×D3—31no—
114C2×C3×C4×D3—31no—
115C2×C3×C4×D3—61no—
116C2×C3×C4×D3—61no—
117C2×C3×Dic6—21no—
118C2×C3×Dic6C2×D311yescharacteristic
119C2×C3×Dic6C2×D311yescharacteristic
120C2×#626—21no—
121C2×#625—61no—
122C2×#625—61no—
123C2×#625—62no—
124C2×D3×Dic3—21no—
125C2×D3×Dic3—61no—
126C2×D3×Dic3—61no—
127C2×D3×Dic3—62no—
128#3796—22no—
129#3796C2×D314yescomplemented
130#3795—34no—
131#3795—34no—
132#3795—62no—
133#3795—62no—
134#3795—64no—
135#3795—64no—
136#3756—34no—
137#3754—34no—
138C2×C3⋊(C3⋊C8)C2×D311yescharacteristic
139C2×C3⋊(C3⋊C8)C2×D311yescharacteristic
140C3×#215—34no—
141C3×#214—34no—
142C3×#213—34no—
143C3×#213—34no—
144C2×C3×C3⋊C8—31no—
145C2×C3×C3⋊C8—31no—
146C2×C3×C3⋊C8—31no—
147C2×C3×C3⋊C8—31no—
148C2×C3×C3⋊C8—61no—
149C2×C3×C3⋊C8—61no—
150#3719—34no—
151#3719—34no—
152#3719—64no—
153#3716—34no—
154#3716—34no—
155#3716—64no—
156#3715C2×D314yescomplemented
157#3713C2×D314yescomplemented
158#3710—34no—
159D3×C3⋊C8—34no—
160D3×C3⋊C8—34no—
161C22×C33C2×D411yescharacteristic
162C2×C3×C3⋊D3—22no—
163C2×C3×C3⋊D3C2×D412yes—
164C2×C32×D3—22no—
165C2×C32×D3—22no—
166C2×C32×D3—42no—
167C2×C32×D3—42no—
168C33×C4C2×D411yescharacteristic
169C33×C4C2411yescharacteristic
170C3⋊(C3⋊Dic3)—22no—
171C3×C3⋊Dic3C2×D412yes—
172C32×Dic3—22no—
173C2×C3×#41—91no—
174C2×#239—31no—
175C2×#237—31no—
176C2×#237—91no—
177C2×#237—91no—
178C2×#237—181no—
179C2×#235—91no—
180C2×C3×SD16—91no—
181C2×C3×D8—91no—
182#950—98no—
183C2×#216—91no—
184C2×#216—91no—
185C2×#216—181no—
186C2×#215—31no—
187C2×#214—31no—
188C2×#214—91no—
189C2×#214—91no—
190C2×#214—181no—
191C2×#213—31no—
192C2×#213—31no—
193C22×C3⋊C8—91no—
194#916—98no—
195#912—98no—
196C2×Dic12—91no—
197C2×#204—91no—
198C2×D3×C8—91no—
199C2×D3×C8—91no—
200C23×C32—61no—
201C23×C32—61no—
202C22×C3⋊D3#6711yescharacteristic
203C22×C3×D3—22no—
204C22×C3×D3—21no—
205C22×C3×D3—21no—
206C22×C3×D3—21no—
207C22×C3×D3—21no—
208C22×C3×D3—31no—
209C22×C3×D3—31no—
210C22×C3×D3—41no—
211C22×C3×D3—61no—
212C32×Q8—32no—
213C32×Q8—61no—
214C32×D4—32no—
215C32×D4—32no—
216C32×D4—61no—
217C32×D4—61no—
218C2×C32×C4—21no—
219C2×C32×C4—21no—
220C2×C32×C4—21no—
221C2×C32×C4—41no—
222C2×C32×C4—61no—
223C2×C32×C4C22×D311yescharacteristic
224C2×C32×C4C22×D311yescharacteristic
225C2×C32×C4C22×D311yescharacteristic
226#638—64no—
227C2×C3⋊Dic3—61no—
228C2×C3⋊Dic3—64no—
229C2×C3⋊Dic3—62no—
230C2×C3⋊Dic3—61no—
231C2×C3⋊Dic3—61no—
232C2×C3⋊Dic3—121no—
233C2×C3⋊Dic3—121no—
234C2×C3⋊Dic3—122no—
235C2×C3⋊Dic3#6711yescharacteristic
236C4×C3⋊D3#6712yes—
237C4×C3⋊D3C22×D312yes—
238#634—32no—
239#634—32no—
240#634—32no—
241#634—62no—
242#634—62no—
243#634—62no—
244#634—61no—
245#634—62no—
246#634—61no—
247#634—61no—
248#634—122no—
249#634—121no—
250#634—121no—
251#634—122no—
252C3×#67—64no—
253C2×C3×Dic3—21no—
254C2×C3×Dic3—21no—
255C2×C3×Dic3—31no—
256C2×C3×Dic3—31no—
257C2×C3×Dic3—41no—
258C2×C3×Dic3—61no—
259C2×C3×Dic3—64no—
260C3×D12—22no—
261C3×D12—21no—
262C3×D12—21no—
263C3×D12—21no—
264C3×D12—21no—
265C3×D12—22no—
266C3×D12—22no—
267C3×D12—41no—
268C3×D12—64no—
269C3×D12C22×D312yes—
270C3×D12C22×D312yes—
271C3×D12C22×D312yes—
272C3×D12C22×D312yes—
273C3×C4×D3—32no—
274C3×C4×D3—32no—
275C3×C4×D3—32no—
276C3×C4×D3—32no—
277C3×C4×D3—62no—
278C3×C4×D3—62no—
279C3×C4×D3—64no—
280C3×Dic6—21no—
281C3×Dic6—21no—
282C3×Dic6—22no—
283C3×Dic6—41no—
284C3×Dic6C22×D312yes—
285C3×Dic6C22×D312yes—
286#626—24no—
287#625—64no—
288#625—64no—
289#625—68no—
290D3×Dic3—24no—
291D3×Dic3—64no—
292D3×Dic3—64no—
293D3×Dic3—68no—
294C3⋊(C3⋊C8)C22×D312yes—
295C3⋊(C3⋊C8)C22×D312yes—
296C3×C3⋊C8—32no—
297C3×C3⋊C8—32no—
298C3×C3⋊C8—32no—
299C3×C3⋊C8—32no—
300C3×C3⋊C8—62no—
301C3×C3⋊C8—62no—
302C2×#135—271noSylow
303C2×C33#13512yescomplemented
304C2×C33C22×D411yescharacteristic
305C3×C3⋊D3—22no—
306C32×D3—42no—
307C32×D3—42no—
308C3×#41—94no—
309C3×#41—182no—
310C2×C3×Q8—31no—
311C2×C3×Q8—31no—
312C2×C3×Q8—61no—
313C2×C3×D4—31no—
314C2×C3×D4—31no—
315C2×C3×D4—31no—
316C2×C3×D4—31no—
317C2×C3×D4—61no—
318C2×C3×D4—61no—
319C2×C3×D4—181no—
320C22×C3×C4—91no—
321C22×C3×C4—181no—
322C2×#67—61no—
323C2×#67—181no—
324C2×#67—181no—
325C2×#67—181no—
326C2×#67—182no—
327C22×Dic3—61no—
328C22×Dic3—181no—
329C22×Dic3—181no—
330C22×Dic3—182no—
331#239—34no—
332#239—62no—
333#237—34no—
334#237—62no—
335#237—94no—
336#237—94no—
337#237—184no—
338#237—182no—
339#237—182no—
340#237—184no—
341#235—94no—
342#235—182no—
343C2×D12—61no—
344C2×D12D3211yescharacteristic
345C2×D12D3211yescharacteristic
346C2×C4×D3—31no—
347C2×C4×D3—31no—
348C2×C4×D3—61no—
349C2×C4×D3—61no—
350C2×C4×D3—181no—
351C2×Dic6—91no—
352C2×Dic6—91no—
353C2×Dic6—91no—
354C2×Dic6—181no—
355C2×Dic6—181no—
356C2×Dic6—181no—
357C2×Dic6—361no—
358C2×Dic6D3211yescharacteristic
359C3×SD16—94no—
360C3×D8—94no—
361C2×C3×C8—91no—
362C2×C3×C8—91no—
363#216—94no—
364#216—94no—
365#216—184no—
366#215—34no—
367#214—34no—
368#214—94no—
369#214—94no—
370#214—184no—
371#213—34no—
372#213—34no—
373C2×C3⋊C8—31no—
374C2×C3⋊C8—31no—
375C2×C3⋊C8—31no—
376C2×C3⋊C8—31no—
377C2×C3⋊C8—61no—
378C2×C3⋊C8—61no—
379C2×C3⋊C8—94no—
380Dic12—94no—
381#204—94no—
382D3×C8—94no—
383D3×C8—94no—
384C22×C32—21no—
385C22×C32—21no—
386C22×C32—21no—
387C22×C32—41no—
388C22×C32—62no—
389C22×C32—62no—
390C22×C32—122no—
391C22×C32—122no—
392C22×C32D3×D411yescharacteristic
393C22×C32D3×D411yescharacteristic
394C22×C32C2×#6711yescharacteristic
395C2×C3⋊D3—22no—
396C2×C3⋊D3C2×#6712yes—
397C2×C3×D3—24no—
398C2×C3×D3—22no—
399C2×C3×D3—22no—
400C2×C3×D3—22no—
401C2×C3×D3—22no—
402C2×C3×D3—32no—
403C2×C3×D3—32no—
404C2×C3×D3—42no—
405C2×C3×D3—44no—
406C2×C3×D3—42no—
407C2×C3×D3—42no—
408C2×C3×D3—42no—
409C2×C3×D3—42no—
410C2×C3×D3—62no—
411C2×C3×D3—62no—
412C2×C3×D3—62no—
413C2×C3×D3—82no—
414C2×C3×D3—122no—
415C32×C4—21no—
416C32×C4—21no—
417C32×C4—21no—
418C32×C4—21no—
419C32×C4—21no—
420C32×C4—21no—
421C32×C4—41no—
422C32×C4—41no—
423C32×C4—62no—
424C32×C4D3×D411yescharacteristic
425C32×C4D3×D411yescharacteristic
426C32×C4C2×#6711yescharacteristic
427C32×C4C23×D311yescharacteristic
428C32×C4C23×D311yescharacteristic
429C32×C4C23×D311yescharacteristic
430C3⋊Dic3—62no—
431C3⋊Dic3—64no—
432C3⋊Dic3—62no—
433C3⋊Dic3—62no—
434C3⋊Dic3—122no—
435C3⋊Dic3—122no—
436C3⋊Dic3—124no—
437C3⋊Dic3C2×#6712yes—
438C3×Dic3—22no—
439C3×Dic3—22no—
440C3×Dic3—32no—
441C3×Dic3—32no—
442C3×Dic3—42no—
443C3×Dic3—62no—
444C2×#41—91no—
445C2×#41—271no—
446#135—278no—
447C2×Q16—271no—
448C2×SD16—91no—
449C2×SD16—271no—
450C2×D8—91no—
451C22×C8—271no—
452C33C2×#13511yescharacteristic, complemented, Sylow
453C23×C3—62no—
454C23×C3—61no—
455C23×C3—61no—
456C23×C3—61no—
457C23×C3—61no—
458C23×C3—91no—
459C23×C3—121no—
460C22×D3—21no—
461C22×D3—21no—
462C22×D3—31no—
463C22×D3—31no—
464C22×D3—61no—
465C3×Q8—32no—
466C3×Q8—32no—
467C3×Q8—62no—
468C3×Q8—61no—
469C3×Q8—61no—
470C3×Q8—121no—
471C3×D4—32no—
472C3×D4—32no—
473C3×D4—32no—
474C3×D4—32no—
475C3×D4—62no—
476C3×D4—62no—
477C3×D4—62no—
478C3×D4—61no—
479C3×D4—61no—
480C3×D4—61no—
481C3×D4—61no—
482C3×D4—121no—
483C3×D4—184no—
484C2×C3×C4—21no—
485C2×C3×C4—21no—
486C2×C3×C4—21no—
487C2×C3×C4—41no—
488C2×C3×C4—61no—
489C2×C3×C4—61no—
490C2×C3×C4—91no—
491C2×C3×C4—92no—
492C2×C3×C4—92no—
493C2×C3×C4—121no—
494C2×C3×C4—184no—
495C2×C3×C4C2×D3211yescharacteristic
496C2×C3×C4C2×D3211yescharacteristic
497C2×C3×C4C2×D3211yescharacteristic
498#67—64no—
499#67—184no—
500#67—184no—
501#67—184no—
502#67—188no—
503C2×Dic3—21no—
504C2×Dic3—31no—
505C2×Dic3—31no—
506C2×Dic3—61no—
507C2×Dic3—64no—
508C2×Dic3—184no—
509C2×Dic3—184no—
510C2×Dic3—188no—
511C2×Dic3—182no—
512C2×Dic3—181no—
513C2×Dic3—181no—
514C2×Dic3—181no—
515C2×Dic3—361no—
516C2×Dic3—361no—
517C2×Dic3—362no—
518D12—21no—
519D12—21no—
520D12—64no—
521D12C2×D3212yes—
522D12C2×D3212yes—
523C4×D3—32no—
524C4×D3—32no—
525C4×D3—32no—
526C4×D3—32no—
527C4×D3—62no—
528C4×D3—62no—
529C4×D3—64no—
530C4×D3—184no—
531Dic6—21no—
532Dic6—92no—
533Dic6—92no—
534Dic6—92no—
535Dic6—182no—
536Dic6—182no—
537Dic6—182no—
538Dic6—182no—
539Dic6—181no—
540Dic6—181no—
541Dic6—181no—
542Dic6—362no—
543Dic6—361no—
544Dic6—361no—
545Dic6—362no—
546Dic6C2×D3212yes—
547C3×C8—92no—
548C3×C8—92no—
549C3⋊C8—32no—
550C3⋊C8—32no—
551C3⋊C8—32no—
552C3⋊C8—32no—
553C3⋊C8—62no—
554C3⋊C8—62no—
555C2×C32—21no—
556C2×C32—21no—
557C2×C32—21no—
558C2×C32—22no—
559C2×C32—22no—
560C2×C32—22no—
561C2×C32—42no—
562C2×C32—41no—
563C2×C32—122no—
564C2×C32—122no—
565C2×C32#91212yescomplemented
566C2×C32#91612yescomplemented
567C2×C32#95012yescomplemented
568C2×C32C2×D3×D411yescharacteristic
569C2×C32C2×D3×D411yescharacteristic
570C2×C32C22×#6711yescharacteristic
571C3⋊D3—22no—
572C3×D3—44no—
573C3×D3—42no—
574C3×D3—42no—
575C3×D3—42no—
576C3×D3—42no—
577C3×D3—62no—
578C3×D3—62no—
579C3×D3—82no—
580C3×D3—122no—
581#41—94no—
582#41—182no—
583#41—274no—
584#41—542no—
585C2×Q8—31no—
586C2×Q8—271no—
587C2×D4—31no—
588C2×D4—31no—
589C2×D4—181no—
590C2×D4—541no—
591C22×C4—91no—
592C22×C4—181no—
593C22×C4—541no—
594Q16—274no—
595SD16—94no—
596SD16—274no—
597D8—94no—
598C2×C8—91no—
599C2×C8—91no—
600C2×C8—274no—
601C22×C3—21no—
602C22×C3—21no—
603C22×C3—21no—
604C22×C3—41no—
605C22×C3—64no—
606C22×C3—62no—
607C22×C3—62no—
608C22×C3—62no—
609C22×C3—62no—
610C22×C3—92no—
611C22×C3—122no—
612C22×C3—124no—
613C22×C3—122no—
614C22×C3—122no—
615C22×C3—122no—
616C22×C3—122no—
617C22×C3—182no—
618C22×C3—242no—
619C22×C3D3×#6711yescharacteristic
620C22×C3D3×#6711yescharacteristic
621C22×C3#381111yescharacteristic
622C2×D3—22no—
623C2×D3—22no—
624C2×D3—32no—
625C2×D3—32no—
626C2×D3—42no—
627C2×D3—42no—
628C2×D3—62no—
629C2×D3—62no—
630C2×D3—62no—
631C2×D3—122no—
632C3×C4—21no—
633C3×C4—21no—
634C3×C4—21no—
635C3×C4—21no—
636C3×C4—21no—
637C3×C4—21no—
638C3×C4—41no—
639C3×C4—41no—
640C3×C4—62no—
641C3×C4—62no—
642C3×C4—92no—
643C3×C4—122no—
644C3×C4D3×#6711yescharacteristic
645C3×C4D3×#6711yescharacteristic
646C3×C4#381111yescharacteristic
647C3×C4C22×D3211yescharacteristic
648C3×C4C22×D3211yescharacteristic
649C3×C4C22×D3211yescharacteristic
650Dic3—22no—
651Dic3—32no—
652Dic3—32no—
653Dic3—62no—
654Dic3—184no—
655Dic3—182no—
656Dic3—182no—
657Dic3—182no—
658Dic3—362no—
659Dic3—362no—
660Dic3—364no—
661C32—21no—
662C32—21no—
663C32—21no—
664C32—41no—
665C32C2×#91211yescharacteristic, complemented
666C32C2×#91611yescharacteristic, complemented
667C32C2×#95011yescharacteristic, complemented
668C23—61no—
669C23—61no—
670C23—91no—
671Q8—32no—
672Q8—61no—
673Q8—272no—
674Q8—541no—
675D4—32no—
676D4—32no—
677D4—61no—
678D4—61no—
679D4—184no—
680D4—544no—
681C2×C4—61no—
682C2×C4—91no—
683C2×C4—92no—
684C2×C4—92no—
685C2×C4—184no—
686C2×C4—544no—
687C2×C4—541no—
688C2×C4D3311yescharacteristic
689C8—92no—
690C8—92no—
691C2×C3—22no—
692C2×C3—22no—
693C2×C3—22no—
694C2×C3—21no—
695C2×C3—21no—
696C2×C3—21no—
697C2×C3—42no—
698C2×C3—41no—
699C2×C3—124no—
700C2×C3—122no—
701C2×C3—122no—
702C2×C3—122no—
703C2×C3—122no—
704C2×C3—182no—
705C2×C3—242no—
706C2×C3#6393312yescomplemented
707C2×C3#6393612yescomplemented
708C2×C3#6394712yescomplemented
709C2×C3C2×D3×#6711yescharacteristic
710C2×C3C2×D3×#6711yescharacteristic
711C2×C3C2×#381111yescharacteristic
712D3—42no—
713D3—42no—
714D3—62no—
715D3—62no—
716D3—122no—
717C22—62no—
718C22—62no—
719C22—92no—
720C22—122no—
721C22—122no—
722C22—182no—
723C22#8895211yescharacteristic
724C4—62no—
725C4—92no—
726C4—542no—
727C4#8895211yescharacteristic
728C4C2×D3311yescharacteristic
729C3—21no—
730C3—21no—
731C3—21no—
732C3—41no—
733C3C2×#6393311yescharacteristic, complemented
734C3C2×#6393611yescharacteristic, complemented
735C3C2×#6394711yescharacteristic, complemented
736C2—122no—
737C2—122no—
738C2—182no—
739C2#1172285712yesdirect product factor
740C2C2×#8895211yescharacteristic
subgroupG/H
centerC22#88952
commutator, cosocleC33×C4C24
FrattiniC4C2×D33
FittingC2×C33×C4C23
socleC22×C33C2×D4
hypercenterC2×C4D33
hypocenterC33C2×#135
LCSG ▷ C33×C4 ▷ C2×C33 ▷ C33
UCSC1 ◁ C22 ◁ C2×C4

Complements

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

NH ≅ G/Ntype
1. C2×#89014C2semidirect
2. C2×C3×#3796C2semidirect
3. C2×#88808C2semidirect
4. C2×#88799C2semidirect
5. C2×#88794C2semidirect
6. C2×C3×#3715C2semidirect
7. C2×C3×#3713C2semidirect
8. #11722857C2direct (N × H)
20. #89014C22semidirect
24. C3×#3796C22semidirect
27. #88808C22semidirect
28. #88799C22semidirect
29. #88794C22semidirect
30. C3×#3715C22semidirect
31. C3×#3713C22semidirect
35. C2×#3796D3semidirect
54. C2×#3715D3semidirect
55. C2×#3713D3semidirect
129. #3796C2×D3semidirect
156. #3715C2×D3semidirect
157. #3713C2×D3semidirect
303. C2×C33#135semidirect
452. C33C2×#135semidirect
565. C2×C32#912semidirect
566. C2×C32#916semidirect
567. C2×C32#950semidirect
665. C32C2×#912semidirect
666. C32C2×#916semidirect
667. C32C2×#950semidirect
706. C2×C3#63933semidirect
707. C2×C3#63936semidirect
708. C2×C3#63947semidirect
733. C3C2×#63933semidirect
734. C3C2×#63936semidirect
735. C3C2×#63947semidirect
739. C2#11722857direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#890142
C2×C3×#37962
C2×#888082
C2×#887992
C2×#887942
C2×C3×#37152
C2×C3×#37132
#117228572
C2×#639473
C2×#639363
C2×#639333