Finite Group Databasebeta

← D3×#5968 #11919261

Subgroups — D3×#5968 #11919261

Order 1152.

12317 conjugacy classes of subgroups.

The subgroup lattice has 712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10596760C211yesmaximal, characteristic, complemented
2C3×#5968C211yesmaximal, characteristic, complemented
3C3×D3×2−1+4C211yesmaximal, characteristic, complemented
4#10596698C2110yesmaximal, complemented
5#10596697C2110yesmaximal, complemented
6D3×#1009C2110yesmaximal, complemented
7D32×#41C2110yesmaximal, complemented
8#10596689C215yesmaximal, complemented
9#10596688C215yesmaximal, complemented
10D3×#1007C215yesmaximal, complemented
11C2×D3×#239C215yesmaximal, complemented
12D3×#585—31nomaximal
13C2×#5968—31nomaximal
14C32×2−1+4C2211yescharacteristic, complemented
15#64366C22110yescomplemented
16#41×C3⋊D3C22110yescomplemented
17#64364C2215yescomplemented
18C2×#3832C2215yescomplemented
19C3×#1010C22110yescomplemented
20C3×#1009C22110yescomplemented
21C3×D3×#41C22110yescomplemented
22C3×D3×#41C22110yescomplemented
23C3×#1007C2215yescomplemented
24C3×#1007C2215yescomplemented
25C2×C3×#239C2215yescomplemented
26C2×C3×D3×Q8C2215yescomplemented
27#64320C22120yescomplemented
28#64319C22110yescomplemented
29D3×#239C22110yescomplemented
30D3×#239C22120yescomplemented
31D3×#239C22120yescomplemented
32D3×#239C22120yescomplemented
33D3×#239C22110yescomplemented
34D32×Q8C22110yescomplemented
35#64316C22120yescomplemented
36#64315C22120yescomplemented
37#64314C22160yescomplemented
38#64312C22130yescomplemented
39D3×#237C22110yescomplemented
40D3×#237C22130yescomplemented
41D32×D4C22130yescomplemented
42#64308C22130yescomplemented
43#64307C22130yescomplemented
44#64306C22130yescomplemented
45D3×#235C22130yescomplemented
46D3×#235C22130yescomplemented
47C2×D3×D12C22115yescomplemented
48C2×C4×D32C22115yescomplemented
49C2×#3799C22115yescomplemented
50#64297C22130yescomplemented
51C2×#3796C22115yescomplemented
52C3×#585—31no—
53C2×C3×2−1+4—31no—
54#5968—31no—
55#5968—31no—
56#5968—310no—
57#5968—310no—
58#5968—35no—
59#5968—35no—
60#5968—35no—
61#5968—61no—
62#5968D311yescharacteristic, direct product factor
63D3×2−1+4—35no—
64D3×2−1+4D311yescharacteristic, complemented
65#5966—310no—
66D3×H(5,𝔽2)—310no—
67#5964—310no—
68#5964—35no—
69C2×#1009—310no—
70C2×D3×#41—310no—
71C2×D3×#41—310no—
72C2×D3×#41—35no—
73C2×#1007—35no—
74C22×#239—35no—
75C22×D32C23115yes—
76C32×#41C23110yescomplemented
77C2×C32×Q8C2315yescomplemented
78#3832C23120yescomplemented
79#3832C23110yescomplemented
80Q8×C3⋊D3C23110yescomplemented
81#3830C23110yescomplemented
82D4×C3⋊D3C23130yescomplemented
83#3828C23130yescomplemented
84C2×C4⋊(C3⋊D3)C23115yescomplemented
85C2×C4×C3⋊D3C23115yescomplemented
86C3×#239C23120yescomplemented
87C3×#239C23110yescomplemented
88C3×#239C23110yescomplemented
89C3×D3×Q8C23110yes—
90C3×D3×Q8C23120yescomplemented
91C3×D3×Q8C23110yescomplemented
92C3×#237C23110yescomplemented
93C3×#237C23130yescomplemented
94C3×D3×D4C23110yes—
95C3×D3×D4C23130yescomplemented
96C3×#235C23130yescomplemented
97C3×#235C23130yescomplemented
98C2×C3×D12C23115yescomplemented
99C2×C3×C4×D3C23115yes—
100C2×C3×C4×D3C23115yescomplemented
101C2×C3×Dic6C23115yescomplemented
102#3811C23160yescomplemented
103D3×#67C23120yes—
104D3×#67C23160yescomplemented
105C2×#626C23130yescomplemented
106C2×#624C23115yescomplemented
107#3805C23120yescomplemented
108#3804C23160yescomplemented
109#3804C23120yescomplemented
110C2×D3×Dic3C2315yes—
111C2×D3×Dic3C23115yescomplemented
112#3802C23130yescomplemented
113D3×D12C23130yes—
114D3×D12C23160yescomplemented
115D3×D12C23130yescomplemented
116C4×D32C23110yes—
117C4×D32C23130yes—
118C4×D32C23130yescomplemented
119C4×D32C23130yescomplemented
120#3799C23160yescomplemented
121#3799C23130yescomplemented
122#3799C23130yescomplemented
123#3798C23160yescomplemented
124#3797C23130yescomplemented
125#3796C23130yescomplemented
126#3796C23160yescomplemented
127#3796C23110yescomplemented
128#3795C23110yescomplemented
129#3795C23130yescomplemented
130D3×Dic6C23110yes—
131D3×Dic6C23130yescomplemented
132C2×#585—91noSylow
133C3×2−1+4—21no—
134C3×2−1+4—310no—
135C3×2−1+4—35no—
136C3×2−1+4—35no—
137C3×2−1+4C2×D311yescharacteristic, complemented
138C3×2−1+4C2×D311yescharacteristic, complemented
139C3×H(5,𝔽2)—310no—
140C2×C3×#41—310no—
141C2×C3×#41—310no—
142C2×C3×#41—35no—
143C22×C3×Q8—35no—
144#1010—320no—
145#1010—330no—
146#1010C2×D3110yescomplemented
147#1009—310no—
148#1009—310no—
149#1009—320no—
150#1009—320no—
151#1009—360no—
152#1009—330no—
153#1009—330no—
154#1009—330no—
155#1009—610no—
156#1009C2×D3110yescomplemented
157D3×#41—310no—
158D3×#41—310no—
159D3×#41—310no—
160D3×#41—310no—
161D3×#41—310no—
162D3×#41—320no—
163D3×#41—320no—
164D3×#41—320no—
165D3×#41—310no—
166D3×#41—330no—
167D3×#41—330no—
168D3×#41—310no—
169D3×#41—330no—
170D3×#41—330no—
171D3×#41—330no—
172D3×#41—330no—
173D3×#41—330no—
174D3×#41—610no—
175D3×#41C2×D3110yescomplemented
176D3×#41C2×D3110yescomplemented
177#1007—35no—
178#1007—35no—
179#1007—320no—
180#1007—320no—
181#1007—320no—
182#1007—330no—
183#1007—65no—
184#1007C2×D315yescomplemented
185#1007C2×D315yescomplemented
186C2×#239—35no—
187C2×#239—35no—
188C2×#239—310no—
189C2×#239—320no—
190C2×#239—320no—
191C2×#239—320no—
192C2×#239—310no—
193C2×#239—315no—
194C2×#239—315no—
195C2×#239—65no—
196C2×#239C2×D315yescomplemented
197C2×D3×Q8—310no—
198C2×D3×Q8—310no—
199C2×D3×Q8C2×D315yescomplemented
200#1004—360no—
201#1004—330no—
202C2×#237—310no—
203C2×#237—330no—
204C2×#237—315no—
205C2×D3×D4—330no—
206C2×D3×D4—330no—
207C2×D3×D4—315no—
208C2×#235—330no—
209C2×#235—330no—
210C2×#235—315no—
211C22×D12—315no—
212C22×C4×D3—315no—
213C22×C4×D3—315no—
214C22×C3⋊D3C24115yes—
215C22×C3×D3C2415yes—
216C22×C3×D3C24115yes—
217C2×D32—430no—
218C2×D32C24110yes—
219C2×D32C24130yes—
220C32×Q8C24110yes—
221C32×D4C24110yes—
222C2×C32×C4C24115yes—
223#638C24120yes—
224C2×C3⋊Dic3C2415yes—
225C4⋊(C3⋊D3)C24130yes—
226C4×C3⋊D3C24110yes—
227C4×C3⋊D3C24130yes—
228#634C24110yes—
229C3×#67C24120yes—
230C3×#67C24120yes—
231C2×C3×Dic3C2415yes—
232C2×C3×Dic3C24115yes—
233C3×D12C24130yes—
234C3×D12C24110yes—
235C3×C4×D3C24110yes—
236C3×C4×D3C24130yes—
237C3×C4×D3C24130yes—
238C3×C4×D3C24110yes—
239C3×Dic6C24110yes—
240C3×Dic6C24130yes—
241#627C24120yes—
242#626C24160yes—
243#626C24120yes—
244#625C24120yes—
245#624C24130yes—
246#624C24110yes—
247D3×Dic3C2415yes—
248D3×Dic3C24130yes—
249D3×Dic3C2415yes—
250D3×Dic3C24110yes—
251D3×Dic3C2415yes—
252D3×Dic3C2411yescharacteristic
253#585—31no—
254#585—910no—
255#585—95no—
256#585—910no—
257#585—95no—
258#585—91no—
259C2×2−1+4—31no—
260C2×2−1+4—95no—
261C2×H(5,𝔽2)—910no—
262C22×#41—95no—
263C22×#41—910no—
264C23×D3—315no—
265C23×D3—315no—
266C3×#41—210no—
267C3×#41—310no—
268C3×#41—310no—
269C3×#41—320no—
270C3×#41—310no—
271C3×#41—330no—
272C3×#41—330no—
273C3×#41—330no—
274C3×#41C22×D3110yescomplemented
275C3×#41C22×D3110yescomplemented
276C2×C3×Q8—25no—
277C2×C3×Q8—310no—
278C2×C3×Q8—310no—
279C2×C3×Q8—320no—
280C2×C3×Q8—315no—
281C2×C3×Q8C22×D315yescomplemented
282C2×C3×Q8C22×D315yescomplemented
283C2×C3×D4—310no—
284C2×C3×D4—330no—
285C2×C3×D4—315no—
286C22×C3×C4—315no—
287C22×C3×C4—315no—
288C2×#67—320no—
289C2×#67—360no—
290C2×#67—330no—
291C22×Dic3—35no—
292C22×Dic3—315no—
293#239—310no—
294#239—320no—
295#239—310no—
296#239—320no—
297#239—330no—
298#239—360no—
299#239—310no—
300#239—330no—
301#239—360no—
302#239—330no—
303#239—610no—
304#239—620no—
305#239C22×D3110yescomplemented
306#239C22×D3120yescomplemented
307#239C22×D3110yescomplemented
308D3×Q8—310no—
309D3×Q8—310no—
310D3×Q8—310no—
311D3×Q8—330no—
312D3×Q8—330no—
313D3×Q8—330no—
314D3×Q8—610no—
315D3×Q8C22×D3110yes—
316D3×Q8C22×D3110yescomplemented
317D3×Q8C22×D3120yescomplemented
318#237—310no—
319#237—310no—
320#237—320no—
321#237—320no—
322#237—360no—
323#237—320no—
324#237—330no—
325#237—310no—
326#237—330no—
327#237—360no—
328#237—310no—
329#237—610no—
330#237C22×D3130yescomplemented
331#237C22×D3110yescomplemented
332D3×D4—320no—
333D3×D4—360no—
334D3×D4—330no—
335D3×D4—330no—
336D3×D4—360no—
337D3×D4—360no—
338D3×D4—330no—
339D3×D4—330no—
340D3×D4—330no—
341D3×D4—360no—
342D3×D4—330no—
343D3×D4—630no—
344D3×D4C22×D3110yes—
345D3×D4C22×D3130yescomplemented
346#235—330no—
347#235—330no—
348#235—320no—
349#235—360no—
350#235—310no—
351#235—330no—
352#235—360no—
353#235—360no—
354#235—330no—
355#235—360no—
356#235—330no—
357#235—630no—
358#235C22×D3130yescomplemented
359#235C22×D3130yescomplemented
360C2×D12—330no—
361C2×D12—315no—
362C2×D12—315no—
363C2×D12—330no—
364C2×D12—360no—
365C2×D12—330no—
366C2×D12—615no—
367C2×D12C22×D3115yescomplemented
368C2×C4×D3—35no—
369C2×C4×D3—315no—
370C2×C4×D3—315no—
371C2×C4×D3—315no—
372C2×C4×D3—315no—
373C2×C4×D3—315no—
374C2×C4×D3—310no—
375C2×C4×D3—310no—
376C2×C4×D3—330no—
377C2×C4×D3—330no—
378C2×C4×D3—330no—
379C2×C4×D3—330no—
380C2×C4×D3—330no—
381C2×C4×D3—330no—
382C2×C4×D3—615no—
383C2×C4×D3C22×D3115yes—
384C2×C4×D3C22×D3115yescomplemented
385C2×Dic6—310no—
386C2×Dic6—330no—
387C2×Dic6C22×D3115yescomplemented
388C22×C32C2515yes—
389C2×C3⋊D3—415no—
390C2×C3⋊D3C25110yes—
391C2×C3×D3—210no—
392C2×C3×D3—415no—
393C2×C3×D3C25110yes—
394C2×C3×D3C2515yes—
395C2×C3×D3C2511yescharacteristic
396D32—220no—
397D32—430no—
398C32×C4C25110yes—
399C3⋊Dic3C2511yescharacteristic
400C3⋊Dic3C2515yes—
401C3×Dic3C2511yescharacteristic
402C3×Dic3C25110yes—
403C3×Dic3C2515yes—
4042−1+4—310no—
4052−1+4—35no—
4062−1+4—35no—
4072−1+4—920no—
4082−1+4—920no—
4092−1+4—930no—
4102−1+4—95no—
4112−1+4D3211yescharacteristic, complemented
412H(5,𝔽2)—310no—
413H(5,𝔽2)—960no—
414H(5,𝔽2)—930no—
415H(5,𝔽2)—920no—
416H(5,𝔽2)—930no—
417H(5,𝔽2)—910no—
418C2×#41—310no—
419C2×#41—310no—
420C2×#41—35no—
421C2×#41—915no—
422C2×#41—930no—
423C2×#41—930no—
424C2×#41—915no—
425C2×#41—910no—
426C2×#41—930no—
427C2×#41—910no—
428C2×#41—920no—
429C2×#41—920no—
430C2×#41—920no—
431C2×#41—910no—
432C2×#41—910no—
433C2×#41—930no—
434C2×#41—930no—
435C2×#41—910no—
436C2×#41—95no—
437C22×Q8—35no—
438C22×Q8—910no—
439C22×D4—915no—
440C22×D4—930no—
441C23×C4—915no—
442C23×C3—35no—
443C23×C3—315no—
444C22×D3—315no—
445C22×D3—315no—
446C22×D3—310no—
447C22×D3—310no—
448C22×D3—330no—
449C22×D3—330no—
450C22×D3—615no—
451C22×D3—1230no—
452C22×D3—1230no—
453C22×D3C23×D315yes—
454C22×D3C23×D3115yes—
455C3×Q8—210no—
456C3×Q8—310no—
457C3×Q8—330no—
458C3×Q8C23×D3110yes—
459C3×Q8C23×D3110yes—
460C3×D4—210no—
461C3×D4—320no—
462C3×D4—320no—
463C3×D4—310no—
464C3×D4—330no—
465C3×D4C23×D3110yes—
466C3×D4C23×D3110yes—
467C2×C3×C4—215no—
468C2×C3×C4—35no—
469C2×C3×C4—315no—
470C2×C3×C4—310no—
471C2×C3×C4—330no—
472C2×C3×C4—310no—
473C2×C3×C4—330no—
474C2×C3×C4C23×D3115yes—
475C2×C3×C4C23×D3115yes—
476#67—320no—
477#67—320no—
478#67—320no—
479#67—320no—
480#67—320no—
481#67—360no—
482#67—620no—
483#67C23×D3120yes—
484#67C23×D3120yes—
485C2×Dic3—35no—
486C2×Dic3—35no—
487C2×Dic3—35no—
488C2×Dic3—330no—
489C2×Dic3—31no—
490C2×Dic3—35no—
491C2×Dic3—35no—
492C2×Dic3—310no—
493C2×Dic3—65no—
494C2×Dic3C23×D3115yes—
495C2×Dic3C23×D315yes—
496D12—360no—
497D12—320no—
498D12—330no—
499D12—330no—
500D12—630no—
501D12C23×D3130yes—
502D12C23×D3110yes—
503C4×D3—31no—
504C4×D3—35no—
505C4×D3—35no—
506C4×D3—35no—
507C4×D3—310no—
508C4×D3—330no—
509C4×D3—310no—
510C4×D3—310no—
511C4×D3—330no—
512C4×D3—330no—
513C4×D3—310no—
514C4×D3—310no—
515C4×D3—330no—
516C4×D3—330no—
517C4×D3—610no—
518C4×D3—630no—
519C4×D3C23×D3110yes—
520C4×D3C23×D3110yes—
521C4×D3C23×D3130yes—
522C4×D3C23×D3130yes—
523Dic6—310no—
524Dic6—310no—
525Dic6—320no—
526Dic6—320no—
527Dic6—610no—
528Dic6C23×D3130yes—
529Dic6C23×D3110yes—
530C2×C32—25no—
531C2×C32C2611yescharacteristic
532C3⋊D3—210no—
533C3×D3—210no—
534C3×D3—25no—
535C3×D3#58512yescomplemented
536C24—915no—
537#41—310no—
538#41—320no—
539#41—310no—
540#41—310no—
541#41—330no—
542#41—330no—
543#41—330no—
544#41—960no—
545#41—920no—
546#41—910no—
547#41—960no—
548#41—930no—
549#41—930no—
550#41—960no—
551#41—930no—
552#41—920no—
553#41—930no—
554#41—910no—
555#41—960no—
556#41—910no—
557#41—920no—
558#41—910no—
559#41—930no—
560#41C2×D32110yescomplemented
561C2×Q8—310no—
562C2×Q8—320no—
563C2×Q8—310no—
564C2×Q8—315no—
565C2×Q8—910no—
566C2×Q8—930no—
567C2×Q8—930no—
568C2×Q8—910no—
569C2×Q8C2×D3215yescomplemented
570C2×D4—310no—
571C2×D4—330no—
572C2×D4—315no—
573C2×D4—930no—
574C2×D4—930no—
575C2×D4—960no—
576C2×D4—930no—
577C2×D4—960no—
578C2×D4—930no—
579C2×D4—920no—
580C2×D4—960no—
581C2×D4—930no—
582C2×D4—915no—
583C22×C4—315no—
584C22×C4—315no—
585C22×C4—910no—
586C22×C4—930no—
587C22×C4—915no—
588C22×C4—930no—
589C22×C4—930no—
590C22×C4—95no—
591C22×C4—915no—
592C22×C4—915no—
593C22×C3—25no—
594C22×C3—31no—
595C22×C3—310no—
596C22×C3—35no—
597C22×C3—610no—
598C22×C3—1215no—
599C22×C3C24×D315yes—
600C22×C3C24×D315yes—
601C2×D3—210no—
602C2×D3—310no—
603C2×D3—310no—
604C2×D3—415no—
605C2×D3—610no—
606C2×D3—620no—
607C2×D3—620no—
608C2×D3—1230no—
609C2×D3—1230no—
610C2×D3—1215no—
611C2×D3—1215no—
612C2×D3—2415no—
613C2×D3C24×D3110yes—
614C2×D3C24×D315yes—
615C2×D3C24×D311yescharacteristic
616C3×C4—210no—
617C3×C4—35no—
618C3×C4—310no—
619C3×C4—31no—
620C3×C4C24×D3110yes—
621C3×C4C24×D3110yes—
622Dic3—35no—
623Dic3—35no—
624Dic3—31no—
625Dic3—31no—
626Dic3—65no—
627Dic3—61no—
628Dic3C24×D315yes—
629Dic3C24×D3110yes—
630Dic3C24×D311yescharacteristic
631C32C2×#58511yescharacteristic, complemented, Sylow
632C23—35no—
633C23—315no—
634C23—910no—
635C23—930no—
636C23—915no—
637C23—3630no—
638Q8—330no—
639Q8—310no—
640Q8—920no—
641Q8—910no—
642Q8C22×D32110yes—
643D4—320no—
644D4—320no—
645D4—330no—
646D4—310no—
647D4—920no—
648D4—960no—
649D4—920no—
650D4—920no—
651D4—930no—
652D4C22×D32110yes—
653C2×C4—35no—
654C2×C4—315no—
655C2×C4—310no—
656C2×C4—310no—
657C2×C4—330no—
658C2×C4—330no—
659C2×C4—910no—
660C2×C4—930no—
661C2×C4—91no—
662C2×C4—95no—
663C2×C4—95no—
664C2×C4—95no—
665C2×C4—910no—
666C2×C4—930no—
667C2×C4—95no—
668C2×C4—910no—
669C2×C4—930no—
670C2×C4C22×D32115yes—
671C2×C3—25no—
672C2×C3—25no—
673C2×C3—21no—
674C2×C3—32no—
675C2×C3—45no—
676C2×C3—610no—
677C2×C3—65no—
678C2×C3C25×D311yescharacteristic
679C2×C3C25×D311yescharacteristic
680D3—25no—
681D3—210no—
682D3—610no—
683D3—610no—
684D3—1210no—
685D3#596812yesdirect product factor
686C22—31no—
687C22—35no—
688C22—310no—
689C22—610no—
690C22—910no—
691C22—1215no—
692C22—1820no—
693C22—3615no—
694C22—3630no—
695C22C23×D3215yes—
696C4—31no—
697C4—35no—
698C4—310no—
699C4—91no—
700C4—95no—
701C4C23×D32110yes—
702C3—21no—
703C3C2×#596811yescharacteristic, complemented
704C3D3×#58511yescharacteristic, complemented
705C2—25no—
706C2—32no—
707C2—65no—
708C2—610no—
709C2—1810no—
710C2C24×D3211yescharacteristic
subgroupG/H
center, FrattiniC2C24×D32
commutator, socle, cosocleC2×C32C26
FittingC32×2−1+4C22
hypercenter2−1+4D32
hypocenterC32C2×#585
LCSG ▷ C2×C32 ▷ C32
UCSC1 ◁ C2 ◁ 2−1+4

Complements

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

NH ≅ G/Ntype
1. #10596760C2semidirect
2. C3×#5968C2semidirect
3. C3×D3×2−1+4C2semidirect
4. #10596698C2semidirect
5. #10596697C2semidirect
6. D3×#1009C2semidirect
7. D32×#41C2semidirect
8. #10596689C2semidirect
9. #10596688C2semidirect
10. D3×#1007C2semidirect
11. C2×D3×#239C2semidirect
14. C32×2−1+4C22semidirect
15. #64366C22semidirect
16. #41×C3⋊D3C22semidirect
17. #64364C22semidirect
18. C2×#3832C22semidirect
19. C3×#1010C22semidirect
20. C3×#1009C22semidirect
21. C3×D3×#41C22semidirect
22. C3×D3×#41C22semidirect
23. C3×#1007C22semidirect
24. C3×#1007C22semidirect
25. C2×C3×#239C22semidirect
26. C2×C3×D3×Q8C22semidirect
27. #64320C22semidirect
28. #64319C22semidirect
29. D3×#239C22semidirect
30. D3×#239C22semidirect
31. D3×#239C22semidirect
32. D3×#239C22semidirect
33. D3×#239C22semidirect
34. D32×Q8C22semidirect
35. #64316C22semidirect
36. #64315C22semidirect
37. #64314C22semidirect
38. #64312C22semidirect
39. D3×#237C22semidirect
40. D3×#237C22semidirect
41. D32×D4C22semidirect
42. #64308C22semidirect
43. #64307C22semidirect
44. #64306C22semidirect
45. D3×#235C22semidirect
46. D3×#235C22semidirect
47. C2×D3×D12C22semidirect
48. C2×C4×D32C22semidirect
49. C2×#3799C22semidirect
50. #64297C22semidirect
51. C2×#3796C22semidirect
62. #5968D3direct (N × H)
64. D3×2−1+4D3semidirect
76. C32×#41C23semidirect
77. C2×C32×Q8C23semidirect
78. #3832C23semidirect
79. #3832C23semidirect
80. Q8×C3⋊D3C23semidirect
81. #3830C23semidirect
82. D4×C3⋊D3C23semidirect
83. #3828C23semidirect
84. C2×C4⋊(C3⋊D3)C23semidirect
85. C2×C4×C3⋊D3C23semidirect
86. C3×#239C23semidirect
87. C3×#239C23semidirect
88. C3×#239C23semidirect
90. C3×D3×Q8C23semidirect
91. C3×D3×Q8C23semidirect
92. C3×#237C23semidirect
93. C3×#237C23semidirect
95. C3×D3×D4C23semidirect
96. C3×#235C23semidirect
97. C3×#235C23semidirect
98. C2×C3×D12C23semidirect
100. C2×C3×C4×D3C23semidirect
101. C2×C3×Dic6C23semidirect
102. #3811C23semidirect
104. D3×#67C23semidirect
105. C2×#626C23semidirect
106. C2×#624C23semidirect
107. #3805C23semidirect
108. #3804C23semidirect
109. #3804C23semidirect
111. C2×D3×Dic3C23semidirect
112. #3802C23semidirect
114. D3×D12C23semidirect
115. D3×D12C23semidirect
118. C4×D32C23semidirect
119. C4×D32C23semidirect
120. #3799C23semidirect
121. #3799C23semidirect
122. #3799C23semidirect
123. #3798C23semidirect
124. #3797C23semidirect
125. #3796C23semidirect
126. #3796C23semidirect
127. #3796C23semidirect
128. #3795C23semidirect
129. #3795C23semidirect
131. D3×Dic6C23semidirect
137. C3×2−1+4C2×D3semidirect
138. C3×2−1+4C2×D3semidirect
146. #1010C2×D3semidirect
156. #1009C2×D3semidirect
175. D3×#41C2×D3semidirect
176. D3×#41C2×D3semidirect
184. #1007C2×D3semidirect
185. #1007C2×D3semidirect
196. C2×#239C2×D3semidirect
199. C2×D3×Q8C2×D3semidirect
274. C3×#41C22×D3semidirect
275. C3×#41C22×D3semidirect
281. C2×C3×Q8C22×D3semidirect
282. C2×C3×Q8C22×D3semidirect
305. #239C22×D3semidirect
306. #239C22×D3semidirect
307. #239C22×D3semidirect
316. D3×Q8C22×D3semidirect
317. D3×Q8C22×D3semidirect
330. #237C22×D3semidirect
331. #237C22×D3semidirect
345. D3×D4C22×D3semidirect
358. #235C22×D3semidirect
359. #235C22×D3semidirect
367. C2×D12C22×D3semidirect
384. C2×C4×D3C22×D3semidirect
387. C2×Dic6C22×D3semidirect
411. 2−1+4D32semidirect
535. C3×D3#585semidirect
560. #41C2×D32semidirect
569. C2×Q8C2×D32semidirect
631. C32C2×#585semidirect
685. D3#5968direct (N × H)
703. C3C2×#5968semidirect
704. C3D3×#585semidirect

Maximal subgroups

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

subgroupindex
#105967602
C3×#59682
C3×D3×2−1+42
#105966982
#105966972
D3×#10092
D32×#412
#105966892
#105966882
D3×#10072
C2×D3×#2392
D3×#5853
C2×#59683