Finite Group Databasebeta

← #72252317

Subgroups — #72252317

Order 2304.

2518 conjugacy classes of subgroups.

The subgroup lattice has 1540 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#85697C211yesmaximal, characteristic
2#11788178C212yesmaximal, complemented
3#11775124C212yesmaximal, complemented
4C3×#71539C211yesmaximal, characteristic, complemented
5#11773257C211yesmaximal, characteristic, complemented
6#10686700—31nomaximal
7#10686698—31nomaximal
8C22×C32×C22⋊C4C2211yescharacteristic
9C22×#3757—21no—
10C22×C4×C3⋊Dic3C2211yescharacteristic, complemented
11C2×C3×#953—21no—
12C3×#5791—21no—
13C3×#5791C2212yes—
14C3×#5495—22no—
15C3×#5495—22no—
16C3×#5494—21no—
17C3×#5494C412yescomplemented
18C3×#5493C411yescharacteristic, complemented
19C3×#5490—22no—
20C3×#5490—22no—
21C3×#5486—21no—
22C3×#5483C411yescharacteristic, complemented
23C2×#63658—21no—
24C2×#63658C2211yescharacteristic, complemented
25C3×#5207C2212yescomplemented
26C2×#63568—22no—
27C3×#4525—21no—
28C3×#4525—21no—
29#10589160—22no—
30#10589152—22no—
31#10589150—22no—
32C3×#3490—31no—
33#85697D311yescharacteristic
34C3×#1462—31no—
35#71711—32no—
36#71708—32no—
37#71545—31no—
38#71545—31no—
39#71545—61no—
40#71539D311yescharacteristic, complemented
41#69976—32no—
42#69965—32no—
43C25×C32D411yescharacteristic
44C23×C32×C4D411yescharacteristic
45C23×C32×C4C2311yescharacteristic
46C23×C3⋊Dic3—21no—
47C23×C3⋊Dic3—21no—
48C22×C3×#67—21no—
49C22×C3×#67—21no—
50C22×C3×#67—21no—
51C2×C3×#235—21no—
52C2×C3×#235D412yes—
53C2×C32×C22⋊C4—22no—
54C2×C32×C22⋊C4—22no—
55C2×C32×C22⋊C4C2×C411yescharacteristic
56C2×C32×C22⋊C4C2×C411yescharacteristic
57C2×C32×C22⋊C4D411yescharacteristic
58C2×C32×C22⋊C4D411yescharacteristic
59C2×#3757—24no—
60C2×#3757—42no—
61C2×#3757—42no—
62C2×C4×C3⋊Dic3—22no—
63C2×C4×C3⋊Dic3—42no—
64C3×#953—22no—
65C3×#953—22no—
66C3×#953—22no—
67C3×#953—22no—
68C2×C3×#217—21no—
69C2×C3×#217—21no—
70C2×C3×#217—21no—
71C3×#930—21no—
72C3×#930—21no—
73C3×#930C2×C412yes—
74C3×#930D412yes—
75C3×#929—22no—
76C3×#929—22no—
77C3×C4×#67—22no—
78C3×C4×#67—22no—
79C3×C4×#67—22no—
80C3×C4×#67—22no—
81C3×#926—21no—
82C3×#926D412yes—
83C3×#924—21no—
84C3×#924—21no—
85C3×#924C2×C412yes—
86C3×#924D412yes—
87C2×C3×#208—22no—
88C3×#886—22no—
89C3×#885—22no—
90C3×#885—22no—
91C3×#884—22no—
92C3×#884—22no—
93C3×#883—22no—
94C3×#883—22no—
95C3×#882—22no—
96C3×#67⋊C4—22no—
97C3×#67⋊C4—22no—
98C3×D3×C22⋊C4—22no—
99C3×#879—22no—
100C3×#879—22no—
101C3×#878—22no—
102C3×#878—22no—
103C3×#877—22no—
104#63658—22no—
105#63658—42no—
106C3×#830—22no—
107C3×#830—22no—
108#63568—44no—
109#8346—91noSylow
110C3×#551—62no—
111C3×#551—62no—
112C3×#546—62no—
113C3×#546—62no—
114C3×#543—31no—
115C3×#538—32no—
116C3×#538—61no—
117C3×#534—31no—
118C3×#525—32no—
119C3×#525—61no—
120C2×C3×#120—61no—
121C3×#518—61no—
122C22×C3×C22⋊C4—21no—
123C22×C3×C22⋊C4C2×D311yescharacteristic
124C22×C3×C22⋊C4C2×D311yescharacteristic
125C2×#953—21no—
126C22×#217—62no—
127C22×#217—61no—
128C22×#217—61no—
129#5791—21no—
130#5791C2×D312yes—
131C22×C4×Dic3—31no—
132C22×C4×Dic3—31no—
133C22×C4×Dic3—61no—
134#5495—22no—
135#5495—22no—
136#5494—21no—
137#5494Dic312yescomplemented
138#5493Dic311yescharacteristic, complemented
139#5490—22no—
140#5490—22no—
141#5486—21no—
142#5483Dic311yescharacteristic, complemented
143C3×#407—32no—
144C2×#837—62no—
145C2×C3⋊#95—31no—
146C2×C3⋊#95—31no—
147C2×C3⋊#95—61no—
148C2×C3⋊#95—62no—
149C2×C3⋊#95—61no—
150C2×C3⋊#95—61no—
151#5207C2×D312yescomplemented
152C2×#825—62no—
153C3×#323—61no—
154C3×#323—61no—
155#4555—62no—
156#4538—62no—
157#4537—62no—
158#4532—62no—
159#4525—21no—
160#4525—21no—
161#4470—62no—
162#4467—62no—
163C24×C32—22no—
164C24×C32—21no—
165C24×C32—21no—
166C24×C32—41no—
167C24×C32—41no—
168C24×C32—41no—
169C24×C32—41no—
170C24×C32—41no—
171C24×C32C22⋊C411yescharacteristic
172C24×C32C22⋊C411yescharacteristic
173C24×C32C2×D411yescharacteristic
174C23×C3×D3—21no—
175C22×C32×C4—21no—
176C22×C32×C4—21no—
177C22×C32×C4—41no—
178C22×C32×C4—41no—
179C22×C32×C4—41no—
180C22×C32×C4—41no—
181C22×C32×C4C22⋊C411yescharacteristic
182C22×C32×C4C22⋊C411yescharacteristic
183C22×C32×C4C22×C411yescharacteristic
184C22×C32×C4C2×D412yes—
185C22×C32×C4C2×D412yes—
186C22×C32×C4C2×D411yescharacteristic
187C22×C3⋊Dic3—22no—
188C22×C3⋊Dic3—22no—
189C22×C3⋊Dic3—22no—
190C22×C3⋊Dic3—22no—
191C22×C3⋊Dic3—41no—
192C22×C3⋊Dic3—41no—
193C22×C3⋊Dic3—41no—
194C22×C3⋊Dic3—41no—
195C22×C3⋊Dic3—41no—
196C22×C3⋊Dic3—41no—
197C22×C3⋊Dic3—41no—
198C22×C3⋊Dic3—41no—
199C22×C3⋊Dic3—41no—
200C22×C3⋊Dic3—41no—
201C2×C3×#67—22no—
202C2×C3×#67—22no—
203C2×C3×#67—22no—
204C2×C3×#67—22no—
205C2×C3×#67—22no—
206C2×C3×#67—22no—
207C2×C3×#67—42no—
208C2×C3×#67—42no—
209C2×C3×#67—81no—
210C2×C3×#67—81no—
211C2×C3×#67—81no—
212C2×C3×#67—81no—
213C22×C3×Dic3—21no—
214C22×C3×Dic3—21no—
215C22×C3×Dic3—21no—
216C3×#235—42no—
217C3×#235—42no—
218C3×#235—81no—
219C3×#235—81no—
220C2×C3×D12—21no—
221C2×C3×D12C22⋊C412yescomplemented
222C2×C3×C4×D3—22no—
223C2×C3×C4×D3—22no—
224C2×C3×Dic6—21no—
225C2×C3×Dic6C22⋊C412yescomplemented
226C32×C22⋊C4—22no—
227C32×C22⋊C4—22no—
228C32×C22⋊C4—22no—
229C32×C22⋊C4—22no—
230#3757—48no—
231C4×C3⋊Dic3—24no—
232C4×C3⋊Dic3—42no—
233C3×#217—22no—
234C3×#217—22no—
235C3×#217—22no—
236C3×#217—22no—
237C3×#217—22no—
238C3×#217—22no—
239C3×(C2×D3)⋊C4—22no—
240C3×(C2×D3)⋊C4—22no—
241C3×(C2×D3)⋊C4—22no—
242C3×(C2×D3)⋊C4—22no—
243C3×C4⋊Dic3—21no—
244C3×C4⋊Dic3—21no—
245C3×C4⋊Dic3C22⋊C412yescomplemented
246C3×C4⋊Dic3C22⋊C412yescomplemented
247C3×Dic3⋊C4—22no—
248C3×Dic3⋊C4—22no—
249C3×Dic3⋊C4—22no—
250C3×Dic3⋊C4—22no—
251C3×C4×Dic3—22no—
252C3×C4×Dic3—22no—
253C3×#208—42no—
254C3×#208—42no—
255C2×C3×C3⋊C8—42no—
256#3490—31no—
257#1896—92no—
258#1504—92no—
259#1462—31no—
260#1437—91no—
261C25×C3—21no—
262C25×C3D1211yescharacteristic
263C25×C3#6711yescharacteristic
264C2×C3×#41—32no—
265C2×C3×#41—61no—
266C22×C3×D4—61no—
267C22×C3×D4—61no—
268C22×C3×D4—61no—
269C23×C3×C4—21no—
270C23×C3×C4—21no—
271C23×C3×C4D1211yescharacteristic
272C23×C3×C4#6711yescharacteristic
273C23×C3×C4C22×D311yescharacteristic
274C23×C3×C4C22×D311yescharacteristic
275C22×#67—21no—
276C22×#67—21no—
277C22×#67—21no—
278C23×Dic3—62no—
279C23×Dic3—61no—
280C23×Dic3—61no—
281C23×Dic3—62no—
282C23×Dic3—61no—
283C23×Dic3—61no—
284C2×#235—21no—
285C2×#235#6712yes—
286C2×C3×M16—62no—
287C3×#126—62no—
288C3×#126—62no—
289C3×#124—62no—
290C3×#124—62no—
291C3×#123—62no—
292C3×#123—62no—
293C3×#123—62no—
294C3×#123—62no—
295C3×#123—62no—
296C3×C22⋊Q8—32no—
297C3×C22⋊Q8—32no—
298C3×C22⋊Q8—62no—
299C3×C22⋊Q8—62no—
300C3×C22⋊Q8—61no—
301C3×C22⋊Q8—61no—
302C3×#121—32no—
303C3×#121—32no—
304C3×#121—62no—
305C3×#121—62no—
306C3×#121—61no—
307C3×#121—61no—
308C3×#120—62no—
309C3×#120—62no—
310C3×#120—62no—
311C3×#120—62no—
312C3×#120—62no—
313C3×C4×D4—62no—
314C3×C4×D4—62no—
315C3×C4×D4—62no—
316C3×C4×D4—62no—
317C3×C4×D4—62no—
318C3×C4×D4—62no—
319C3×#117—32no—
320C3×#117—62no—
321C3×#117—61no—
322C2×C3×C22⋊C4—22no—
323C2×C3×C22⋊C4—22no—
324C2×C3×C22⋊C4—22no—
325C2×C3×C22⋊C4—22no—
326C2×C3×C22⋊C4—21no—
327C2×C3×C22⋊C4—21no—
328C2×C3×C22⋊C4—21no—
329C2×C3×C22⋊C4—21no—
330C2×C3×C22⋊C4—42no—
331C2×C3×C22⋊C4—42no—
332C2×C3×C22⋊C4—62no—
333C2×C3×C22⋊C4—61no—
334C2×C3×C22⋊C4—61no—
335C2×C3×C22⋊C4—61no—
336C2×C3×C22⋊C4C4×D311yescharacteristic
337C2×C3×C22⋊C4C4×D311yescharacteristic
338C2×C3×C22⋊C4C2×Dic311yescharacteristic
339C2×C3×C22⋊C4C2×Dic311yescharacteristic
340C2×C3×C22⋊C4#6711yescharacteristic
341C2×C3×C22⋊C4#6711yescharacteristic
342C2×C3×C22⋊C4#6711yescharacteristic
343C2×C3×C22⋊C4#6711yescharacteristic
344#953—22no—
345#953—22no—
346#953—22no—
347#953—22no—
348C2×#217—21no—
349C2×#217—21no—
350C2×#217—21no—
351C2×#217—68no—
352C2×#217—64no—
353C2×#217—64no—
354C2×#217—122no—
355C2×#217—122no—
356C2×#217—124no—
357C2×#217—122no—
358C2×#217—122no—
359C2×#217—124no—
360#930—21no—
361#930—21no—
362#930C2×Dic312yes—
363#930#6712yes—
364#929—22no—
365#929—22no—
366C4×#67—22no—
367C4×#67—22no—
368C4×#67—22no—
369C4×#67—22no—
370#926—21no—
371#926#6712yes—
372#924—21no—
373#924—21no—
374#924C2×Dic312yes—
375#924#6712yes—
376C2×C4×Dic3—62no—
377C2×C4×Dic3—62no—
378C2×C4×Dic3—122no—
379C2×C4×Dic3—122no—
380C2×C4×Dic3—122no—
381C2×C4×Dic3—124no—
382C2×#208—22no—
383#886—22no—
384#885—22no—
385#885—22no—
386#884—22no—
387#884—22no—
388#883—22no—
389#883—22no—
390#882—22no—
391#67⋊C4—22no—
392#67⋊C4—22no—
393D3×C22⋊C4—22no—
394#879—22no—
395#879—22no—
396#878—22no—
397#878—22no—
398#877—22no—
399C3×C22⋊C8—62no—
400C3×C22⋊C8—62no—
401#837—124no—
402C3⋊#95—62no—
403C3⋊#95—62no—
404C3⋊#95—122no—
405C3⋊#95—122no—
406C3⋊#95—122no—
407C3⋊#95—124no—
408#830—22no—
409#830—22no—
410#825—124no—
411C23×C32—21no—
412C23×C32—21no—
413C23×C32—21no—
414C23×C32—21no—
415C23×C32—21no—
416C23×C32—21no—
417C23×C32—21no—
418C23×C32—21no—
419C23×C32—21no—
420C23×C32—21no—
421C23×C32—21no—
422C23×C32—42no—
423C23×C32—42no—
424C23×C32—41no—
425C23×C32—41no—
426C23×C32—41no—
427C23×C32—41no—
428C23×C32—42no—
429C23×C32—42no—
430C23×C32—42no—
431C23×C32—42no—
432C23×C32—41no—
433C23×C32—41no—
434C23×C32—41no—
435C23×C32—41no—
436C23×C32—81no—
437C23×C32—81no—
438C23×C32—81no—
439C23×C32—81no—
440C23×C32—81no—
441C23×C32—81no—
442C23×C32#10412yescomplemented
443C23×C32C2×C22⋊C411yescharacteristic
444C23×C32#12011yescharacteristic
445C23×C32#12011yescharacteristic
446C22×C3×D3—22no—
447C22×C3×D3—42no—
448C22×C3×D3—81no—
449C22×C3×D3—81no—
450C2×C32×C4—22no—
451C2×C32×C4—22no—
452C2×C32×C4—21no—
453C2×C32×C4—21no—
454C2×C32×C4—41no—
455C2×C32×C4—42no—
456C2×C32×C4—41no—
457C2×C32×C4—41no—
458C2×C32×C4—41no—
459C2×C32×C4—41no—
460C2×C32×C4—41no—
461C2×C32×C4—81no—
462C2×C32×C4C2×C22⋊C412yes—
463C2×C32×C4#12012yes—
464C2×C3⋊Dic3—24no—
465C2×C3⋊Dic3—42no—
466C2×C3⋊Dic3—42no—
467C2×C3⋊Dic3—42no—
468C2×C3⋊Dic3—42no—
469C2×C3⋊Dic3—42no—
470C2×C3⋊Dic3—42no—
471C2×C3⋊Dic3—42no—
472C2×C3⋊Dic3—42no—
473C2×C3⋊Dic3—42no—
474C2×C3⋊Dic3—81no—
475C2×C3⋊Dic3—81no—
476C2×C3⋊Dic3—81no—
477C2×C3⋊Dic3—81no—
478C3×#67—44no—
479C3×#67—42no—
480C3×#67—42no—
481C3×#67—42no—
482C3×#67—42no—
483C3×#67—42no—
484C3×#67—42no—
485C3×#67—82no—
486C3×#67—82no—
487C2×C3×Dic3—22no—
488C2×C3×Dic3—22no—
489C2×C3×Dic3—22no—
490C2×C3×Dic3—42no—
491C2×C3×Dic3—81no—
492C2×C3×Dic3—81no—
493C3×D12—42no—
494C3×D12—81no—
495C3×C4×D3—82no—
496C3×C4×D3—82no—
497C3×Dic6—42no—
498C3×Dic6—81no—
499C3×C3⋊C8—82no—
500#551—62no—
501#551—62no—
502#546—62no—
503#546—62no—
504#543—31no—
505#538—32no—
506#538—61no—
507#534—31no—
508#525—32no—
509#525—61no—
510C2×#120—61no—
511#518—61no—
512C22×C22⋊C4—181no—
513C22×C22⋊C4D3211yescharacteristic
514C22×C42—91no—
515C2×#104—182no—
516#407—32no—
517C2×#95—91no—
518C2×#95—181no—
519#339—182no—
520#328—182no—
521#327—182no—
522#323—61no—
523#323—61no—
524C24×C3—24no—
525C24×C3—22no—
526C24×C3—22no—
527C24×C3—21no—
528C24×C3—21no—
529C24×C3—21no—
530C24×C3—21no—
531C24×C3—21no—
532C24×C3—21no—
533C24×C3—21no—
534C24×C3—41no—
535C24×C3—41no—
536C24×C3—41no—
537C24×C3—41no—
538C24×C3—41no—
539C24×C3—41no—
540C24×C3—41no—
541C24×C3—41no—
542C24×C3—41no—
543C24×C3—41no—
544C24×C3—41no—
545C24×C3—41no—
546C24×C3—42no—
547C24×C3—42no—
548C24×C3—42no—
549C24×C3—42no—
550C24×C3—42no—
551C24×C3—61no—
552C24×C3(C2×D3)⋊C411yescharacteristic
553C24×C3(C2×D3)⋊C411yescharacteristic
554C24×C3#21711yescharacteristic
555C24×C3#21711yescharacteristic
556C24×C3C2×D1211yescharacteristic
557C24×C3C2×#6711yescharacteristic
558C23×D3—21no—
559C3×#41—122no—
560C3×#41—122no—
561C3×#41—241no—
562C3×#41—241no—
563C2×C3×Q8—32no—
564C2×C3×Q8—61no—
565C2×C3×D4—32no—
566C2×C3×D4—61no—
567C2×C3×D4—62no—
568C2×C3×D4—62no—
569C2×C3×D4—62no—
570C2×C3×D4—62no—
571C2×C3×D4—62no—
572C2×C3×D4—62no—
573C2×C3×D4—122no—
574C2×C3×D4—122no—
575C2×C3×D4—241no—
576C2×C3×D4—241no—
577C2×C3×D4—241no—
578C2×C3×D4—241no—
579C22×C3×C4—21no—
580C22×C3×C4—21no—
581C22×C3×C4—21no—
582C22×C3×C4—21no—
583C22×C3×C4—21no—
584C22×C3×C4—21no—
585C22×C3×C4—21no—
586C22×C3×C4—21no—
587C22×C3×C4—22no—
588C22×C3×C4—22no—
589C22×C3×C4—41no—
590C22×C3×C4—41no—
591C22×C3×C4—41no—
592C22×C3×C4—41no—
593C22×C3×C4—41no—
594C22×C3×C4—41no—
595C22×C3×C4—42no—
596C22×C3×C4—42no—
597C22×C3×C4—41no—
598C22×C3×C4—41no—
599C22×C3×C4—41no—
600C22×C3×C4—41no—
601C22×C3×C4—42no—
602C22×C3×C4—42no—
603C22×C3×C4—62no—
604C22×C3×C4—61no—
605C22×C3×C4—61no—
606C22×C3×C4—61no—
607C22×C3×C4—62no—
608C22×C3×C4(C2×D3)⋊C411yescharacteristic
609C22×C3×C4(C2×D3)⋊C411yescharacteristic
610C22×C3×C4#21711yescharacteristic
611C22×C3×C4#21711yescharacteristic
612C22×C3×C4C2×C4×D311yescharacteristic
613C22×C3×C4D3×D412yes—
614C22×C3×C4D3×D412yes—
615C22×C3×C4C22×Dic311yescharacteristic
616C22×C3×C4C2×#6711yescharacteristic
617C22×C3×C4C2×#6711yescharacteristic
618C22×C3×C4C2×#6712yes—
619C22×C3×C4C2×#6712yes—
620C2×#67—22no—
621C2×#67—22no—
622C2×#67—22no—
623C2×#67—22no—
624C2×#67—22no—
625C2×#67—22no—
626C2×#67—42no—
627C2×#67—42no—
628C2×#67—81no—
629C2×#67—81no—
630C2×#67—81no—
631C2×#67—81no—
632C22×Dic3—21no—
633C22×Dic3—21no—
634C22×Dic3—21no—
635C22×Dic3—64no—
636C22×Dic3—62no—
637C22×Dic3—62no—
638C22×Dic3—64no—
639C22×Dic3—62no—
640C22×Dic3—62no—
641C22×Dic3—64no—
642C22×Dic3—62no—
643C22×Dic3—62no—
644C22×Dic3—64no—
645C22×Dic3—62no—
646C22×Dic3—62no—
647C22×Dic3—122no—
648C22×Dic3—121no—
649C22×Dic3—121no—
650C22×Dic3—122no—
651C22×Dic3—122no—
652C22×Dic3—122no—
653C22×Dic3—121no—
654C22×Dic3—121no—
655C22×Dic3—121no—
656C22×Dic3—121no—
657C22×Dic3—121no—
658C22×Dic3—121no—
659C22×Dic3—122no—
660C22×Dic3—121no—
661C22×Dic3—121no—
662C22×Dic3—122no—
663C22×Dic3—122no—
664C22×Dic3—122no—
665C22×Dic3—121no—
666C22×Dic3—121no—
667C22×Dic3—121no—
668C22×Dic3—121no—
669C22×Dic3—122no—
670C22×Dic3—122no—
671C22×Dic3—121no—
672C22×Dic3—121no—
673C22×Dic3—121no—
674C22×Dic3—121no—
675C22×Dic3—121no—
676C22×Dic3—121no—
677#235—42no—
678#235—42no—
679#235—81no—
680#235—81no—
681C2×D12—21no—
682C2×D12#21712yescomplemented
683C2×C4×D3—22no—
684C2×C4×D3—22no—
685C2×Dic6—21no—
686C2×Dic6#21712yescomplemented
687C3×M16—122no—
688C3×M16—122no—
689C2×C3×C8—122no—
690C3×C4⋊C4—32no—
691C3×C4⋊C4—32no—
692C3×C4⋊C4—62no—
693C3×C4⋊C4—62no—
694C3×C4⋊C4—61no—
695C3×C4⋊C4—61no—
696C3×C4⋊C4—62no—
697C3×C4⋊C4—62no—
698C3×C22⋊C4—22no—
699C3×C22⋊C4—22no—
700C3×C22⋊C4—22no—
701C3×C22⋊C4—22no—
702C3×C22⋊C4—22no—
703C3×C22⋊C4—22no—
704C3×C22⋊C4—22no—
705C3×C22⋊C4—22no—
706C3×C22⋊C4—42no—
707C3×C22⋊C4—42no—
708C3×C22⋊C4—42no—
709C3×C22⋊C4—42no—
710C3×C22⋊C4—62no—
711C3×C22⋊C4—62no—
712C3×C22⋊C4—62no—
713C3×C22⋊C4—62no—
714C3×C22⋊C4—62no—
715C3×C22⋊C4—62no—
716C3×C22⋊C4—62no—
717C3×C22⋊C4—62no—
718C3×C22⋊C4—62no—
719C3×C22⋊C4—62no—
720C3×C42—62no—
721C3×C42—62no—
722#217—22no—
723#217—22no—
724#217—22no—
725#217—22no—
726#217—22no—
727#217—22no—
728#217—128no—
729#217—128no—
730#217—1216no—
731(C2×D3)⋊C4—22no—
732(C2×D3)⋊C4—22no—
733(C2×D3)⋊C4—22no—
734(C2×D3)⋊C4—22no—
735C4⋊Dic3—21no—
736C4⋊Dic3—21no—
737C4⋊Dic3#21712yescomplemented
738C4⋊Dic3#21712yescomplemented
739Dic3⋊C4—22no—
740Dic3⋊C4—22no—
741Dic3⋊C4—22no—
742Dic3⋊C4—22no—
743C4×Dic3—22no—
744C4×Dic3—22no—
745C4×Dic3—64no—
746C4×Dic3—64no—
747C4×Dic3—124no—
748C4×Dic3—122no—
749C4×Dic3—122no—
750C4×Dic3—124no—
751#208—42no—
752#208—42no—
753C2×C3⋊C8—42no—
754C22×C32—21no—
755C22×C32—21no—
756C22×C32—21no—
757C22×C32—21no—
758C22×C32—21no—
759C22×C32—21no—
760C22×C32—21no—
761C22×C32—21no—
762C22×C32—21no—
763C22×C32—21no—
764C22×C32—21no—
765C22×C32—21no—
766C22×C32—21no—
767C22×C32—21no—
768C22×C32—22no—
769C22×C32—42no—
770C22×C32—42no—
771C22×C32—41no—
772C22×C32—41no—
773C22×C32—41no—
774C22×C32—41no—
775C22×C32—41no—
776C22×C32—81no—
777C22×C32—82no—
778C22×C32—82no—
779C22×C32—82no—
780C22×C32—82no—
781C22×C32—81no—
782C22×C32#37911yescharacteristic
783C22×C32C2×#10411yescharacteristic
784C22×C32#42111yescharacteristic
785C22×C32#45311yescharacteristic
786C22×C32#45511yescharacteristic
787C22×C32B(4,𝔽2)11yescharacteristic
788C22×C32#45811yescharacteristic
789C2×C3×D3—42no—
790C2×C3×D3—42no—
791C2×C3×D3—42no—
792C2×C3×D3—162no—
793C32×C4—22no—
794C32×C4—22no—
795C32×C4—41no—
796C32×C4—41no—
797C3⋊Dic3—44no—
798C3⋊Dic3—82no—
799C3×Dic3—42no—
800C3×Dic3—42no—
801C3×Dic3—42no—
802C25#62611yescharacteristic
803C2×#41—32no—
804C2×#41—61no—
805C22×D4—61no—
806C22×D4—61no—
807C22×D4—61no—
808C23×C4—181no—
809C23×C4—181no—
810C23×C4#62611yescharacteristic
811C23×C4C2×D3211yescharacteristic
812C2×M16—62no—
813#126—62no—
814#126—62no—
815#124—62no—
816#124—62no—
817#123—62no—
818#123—62no—
819#123—62no—
820#123—62no—
821#123—62no—
822C22⋊Q8—32no—
823C22⋊Q8—32no—
824C22⋊Q8—62no—
825C22⋊Q8—62no—
826C22⋊Q8—61no—
827C22⋊Q8—61no—
828#121—32no—
829#121—32no—
830#121—62no—
831#121—62no—
832#121—61no—
833#121—61no—
834#120—62no—
835#120—62no—
836#120—62no—
837#120—62no—
838#120—62no—
839C4×D4—62no—
840C4×D4—62no—
841C4×D4—62no—
842C4×D4—62no—
843C4×D4—62no—
844C4×D4—62no—
845#117—32no—
846#117—62no—
847#117—61no—
848C2×C22⋊C4—22no—
849C2×C22⋊C4—22no—
850C2×C22⋊C4—62no—
851C2×C22⋊C4—61no—
852C2×C22⋊C4—61no—
853C2×C22⋊C4—61no—
854C2×C22⋊C4—184no—
855C2×C22⋊C4—362no—
856C2×C22⋊C4—362no—
857C2×C22⋊C4D3×Dic311yescharacteristic
858C2×C22⋊C4D3×Dic311yescharacteristic
859C2×C22⋊C4#62511yescharacteristic
860C2×C22⋊C4#62511yescharacteristic
861C2×C42—182no—
862C2×C42—362no—
863#104—364no—
864C22⋊C8—62no—
865C22⋊C8—62no—
866#95—182no—
867#95—362no—
868C23×C3—22no—
869C23×C3—22no—
870C23×C3—22no—
871C23×C3—22no—
872C23×C3—22no—
873C23×C3—22no—
874C23×C3—21no—
875C23×C3—21no—
876C23×C3—21no—
877C23×C3—21no—
878C23×C3—21no—
879C23×C3—21no—
880C23×C3—21no—
881C23×C3—21no—
882C23×C3—21no—
883C23×C3—21no—
884C23×C3—21no—
885C23×C3—21no—
886C23×C3—21no—
887C23×C3—21no—
888C23×C3—21no—
889C23×C3—21no—
890C23×C3—22no—
891C23×C3—21no—
892C23×C3—21no—
893C23×C3—21no—
894C23×C3—21no—
895C23×C3—21no—
896C23×C3—21no—
897C23×C3—22no—
898C23×C3—21no—
899C23×C3—21no—
900C23×C3—21no—
901C23×C3—41no—
902C23×C3—41no—
903C23×C3—41no—
904C23×C3—41no—
905C23×C3—42no—
906C23×C3—42no—
907C23×C3—42no—
908C23×C3—42no—
909C23×C3—41no—
910C23×C3—41no—
911C23×C3—41no—
912C23×C3—41no—
913C23×C3—41no—
914C23×C3—41no—
915C23×C3—41no—
916C23×C3—41no—
917C23×C3—42no—
918C23×C3—42no—
919C23×C3—44no—
920C23×C3—44no—
921C23×C3—44no—
922C23×C3—42no—
923C23×C3—42no—
924C23×C3—42no—
925C23×C3—42no—
926C23×C3—42no—
927C23×C3—42no—
928C23×C3—42no—
929C23×C3—42no—
930C23×C3—44no—
931C23×C3—44no—
932C23×C3—42no—
933C23×C3—42no—
934C23×C3—44no—
935C23×C3—41no—
936C23×C3—41no—
937C23×C3—41no—
938C23×C3—41no—
939C23×C3—41no—
940C23×C3—41no—
941C23×C3—41no—
942C23×C3—41no—
943C23×C3—62no—
944C23×C3—81no—
945C23×C3—81no—
946C23×C3—81no—
947C23×C3—81no—
948C23×C3—81no—
949C23×C3—81no—
950C23×C3—81no—
951C23×C3—81no—
952C23×C3—82no—
953C23×C3—82no—
954C23×C3—81no—
955C23×C3—81no—
956C23×C3—82no—
957C23×C3—81no—
958C23×C3—81no—
959C23×C3—82no—
960C23×C3—81no—
961C23×C3—81no—
962C23×C3—82no—
963C23×C3—81no—
964C23×C3—81no—
965C23×C3—82no—
966C23×C3—122no—
967C23×C3—241no—
968C23×C3—241no—
969C23×C3#82512yescomplemented
970C23×C3#83712yescomplemented
971C23×C3#88211yescharacteristic
972C23×C3#88211yescharacteristic
973C23×C3C2×(C2×D3)⋊C411yescharacteristic
974C23×C3C2×#21711yescharacteristic
975C23×C3#95311yescharacteristic
976C23×C3#95311yescharacteristic
977C22×D3—22no—
978C22×D3—42no—
979C22×D3—81no—
980C22×D3—81no—
981C3×Q8—122no—
982C3×Q8—241no—
983C3×D4—122no—
984C3×D4—124no—
985C3×D4—122no—
986C3×D4—122no—
987C3×D4—122no—
988C3×D4—122no—
989C3×D4—122no—
990C3×D4—122no—
991C3×D4—241no—
992C3×D4—242no—
993C3×D4—242no—
994C2×C3×C4—22no—
995C2×C3×C4—22no—
996C2×C3×C4—22no—
997C2×C3×C4—22no—
998C2×C3×C4—21no—
999C2×C3×C4—21no—
1000C2×C3×C4—21no—
1001C2×C3×C4—21no—
1002C2×C3×C4—22no—
1003C2×C3×C4—22no—
1004C2×C3×C4—42no—
1005C2×C3×C4—42no—
1006C2×C3×C4—41no—
1007C2×C3×C4—41no—
1008C2×C3×C4—41no—
1009C2×C3×C4—42no—
1010C2×C3×C4—41no—
1011C2×C3×C4—41no—
1012C2×C3×C4—41no—
1013C2×C3×C4—42no—
1014C2×C3×C4—42no—
1015C2×C3×C4—42no—
1016C2×C3×C4—44no—
1017C2×C3×C4—41no—
1018C2×C3×C4—41no—
1019C2×C3×C4—41no—
1020C2×C3×C4—41no—
1021C2×C3×C4—41no—
1022C2×C3×C4—41no—
1023C2×C3×C4—41no—
1024C2×C3×C4—41no—
1025C2×C3×C4—42no—
1026C2×C3×C4—42no—
1027C2×C3×C4—62no—
1028C2×C3×C4—62no—
1029C2×C3×C4—62no—
1030C2×C3×C4—81no—
1031C2×C3×C4—81no—
1032C2×C3×C4—81no—
1033C2×C3×C4—81no—
1034C2×C3×C4—82no—
1035C2×C3×C4—122no—
1036C2×C3×C4—242no—
1037C2×C3×C4—242no—
1038C2×C3×C4—241no—
1039C2×C3×C4—241no—
1040C2×C3×C4D3×C22⋊C412yes—
1041C2×C3×C4#93712yes—
1042C2×C3×C4C2×#21712yes—
1043C2×C3×C4#95312yes—
1044#67—44no—
1045#67—42no—
1046#67—42no—
1047#67—42no—
1048#67—42no—
1049#67—42no—
1050#67—42no—
1051#67—82no—
1052#67—82no—
1053C2×Dic3—22no—
1054C2×Dic3—22no—
1055C2×Dic3—22no—
1056C2×Dic3—42no—
1057C2×Dic3—68no—
1058C2×Dic3—64no—
1059C2×Dic3—64no—
1060C2×Dic3—81no—
1061C2×Dic3—81no—
1062C2×Dic3—124no—
1063C2×Dic3—124no—
1064C2×Dic3—122no—
1065C2×Dic3—122no—
1066C2×Dic3—124no—
1067C2×Dic3—124no—
1068C2×Dic3—122no—
1069C2×Dic3—122no—
1070C2×Dic3—124no—
1071C2×Dic3—124no—
1072C2×Dic3—122no—
1073C2×Dic3—122no—
1074C2×Dic3—122no—
1075C2×Dic3—122no—
1076C2×Dic3—122no—
1077C2×Dic3—122no—
1078C2×Dic3—122no—
1079C2×Dic3—122no—
1080C2×Dic3—124no—
1081C2×Dic3—122no—
1082C2×Dic3—122no—
1083C2×Dic3—124no—
1084C2×Dic3—122no—
1085C2×Dic3—122no—
1086C2×Dic3—124no—
1087C2×Dic3—122no—
1088C2×Dic3—122no—
1089C2×Dic3—242no—
1090C2×Dic3—241no—
1091C2×Dic3—241no—
1092C2×Dic3—242no—
1093C2×Dic3—242no—
1094C2×Dic3—241no—
1095C2×Dic3—241no—
1096C2×Dic3—241no—
1097C2×Dic3—241no—
1098C2×Dic3—242no—
1099C2×Dic3—241no—
1100C2×Dic3—241no—
1101D12—42no—
1102D12—81no—
1103C4×D3—82no—
1104C4×D3—82no—
1105Dic6—42no—
1106Dic6—81no—
1107C3×C8—242no—
1108C3⋊C8—82no—
1109C2×C32—21no—
1110C2×C32—21no—
1111C2×C32—21no—
1112C2×C32—21no—
1113C2×C32—21no—
1114C2×C32—21no—
1115C2×C32—42no—
1116C2×C32—81no—
1117C2×C32#178911yescharacteristic
1118C2×C32#179011yescharacteristic
1119C2×C32#179211yescharacteristic
1120C3×D3—82no—
1121C24—22no—
1122C24—21no—
1123C24—21no—
1124C24—41no—
1125C24—41no—
1126C24—41no—
1127C24—41no—
1128C24—41no—
1129C24—61no—
1130C24(C2×D3)⋊Dic311yescharacteristic
1131C24(C2×D3)⋊Dic311yescharacteristic
1132C24C2×#62611yescharacteristic
1133#41—122no—
1134#41—122no—
1135#41—241no—
1136#41—241no—
1137C2×Q8—32no—
1138C2×Q8—61no—
1139C2×D4—32no—
1140C2×D4—61no—
1141C2×D4—62no—
1142C2×D4—62no—
1143C2×D4—62no—
1144C2×D4—62no—
1145C2×D4—62no—
1146C2×D4—62no—
1147C2×D4—122no—
1148C2×D4—122no—
1149C2×D4—241no—
1150C2×D4—241no—
1151C2×D4—241no—
1152C2×D4—241no—
1153C22×C4—21no—
1154C22×C4—21no—
1155C22×C4—41no—
1156C22×C4—41no—
1157C22×C4—41no—
1158C22×C4—41no—
1159C22×C4—62no—
1160C22×C4—61no—
1161C22×C4—61no—
1162C22×C4—61no—
1163C22×C4—62no—
1164C22×C4—182no—
1165C22×C4—182no—
1166C22×C4—182no—
1167C22×C4—182no—
1168C22×C4—361no—
1169C22×C4—361no—
1170C22×C4—361no—
1171C22×C4—361no—
1172C22×C4—361no—
1173C22×C4—361no—
1174C22×C4—361no—
1175C22×C4—361no—
1176C22×C4—361no—
1177C22×C4—361no—
1178C22×C4(C2×D3)⋊Dic311yescharacteristic
1179C22×C4(C2×D3)⋊Dic311yescharacteristic
1180C22×C4C2×D3×Dic311yescharacteristic
1181C22×C4C2×#62511yescharacteristic
1182C22×C4D3×#6712yes—
1183C22×C4D3×#6712yes—
1184M16—122no—
1185M16—122no—
1186C2×C8—122no—
1187C4⋊C4—32no—
1188C4⋊C4—32no—
1189C4⋊C4—62no—
1190C4⋊C4—61no—
1191C4⋊C4—61no—
1192C4⋊C4—62no—
1193C4⋊C4—62no—
1194C4⋊C4—62no—
1195C22⋊C4—22no—
1196C22⋊C4—22no—
1197C22⋊C4—22no—
1198C22⋊C4—22no—
1199C22⋊C4—62no—
1200C22⋊C4—62no—
1201C22⋊C4—62no—
1202C22⋊C4—62no—
1203C22⋊C4—62no—
1204C22⋊C4—62no—
1205C22⋊C4—62no—
1206C22⋊C4—62no—
1207C22⋊C4—62no—
1208C22⋊C4—62no—
1209C22⋊C4—368no—
1210C42—62no—
1211C42—62no—
1212C42—184no—
1213C42—362no—
1214C22×C3—22no—
1215C22×C3—21no—
1216C22×C3—21no—
1217C22×C3—22no—
1218C22×C3—21no—
1219C22×C3—21no—
1220C22×C3—22no—
1221C22×C3—22no—
1222C22×C3—22no—
1223C22×C3—21no—
1224C22×C3—21no—
1225C22×C3—21no—
1226C22×C3—21no—
1227C22×C3—22no—
1228C22×C3—22no—
1229C22×C3—22no—
1230C22×C3—21no—
1231C22×C3—21no—
1232C22×C3—22no—
1233C22×C3—22no—
1234C22×C3—21no—
1235C22×C3—21no—
1236C22×C3—22no—
1237C22×C3—22no—
1238C22×C3—22no—
1239C22×C3—21no—
1240C22×C3—21no—
1241C22×C3—22no—
1242C22×C3—21no—
1243C22×C3—21no—
1244C22×C3—21no—
1245C22×C3—21no—
1246C22×C3—21no—
1247C22×C3—21no—
1248C22×C3—21no—
1249C22×C3—21no—
1250C22×C3—21no—
1251C22×C3—21no—
1252C22×C3—21no—
1253C22×C3—21no—
1254C22×C3—21no—
1255C22×C3—21no—
1256C22×C3—22no—
1257C22×C3—22no—
1258C22×C3—21no—
1259C22×C3—21no—
1260C22×C3—21no—
1261C22×C3—21no—
1262C22×C3—21no—
1263C22×C3—21no—
1264C22×C3—21no—
1265C22×C3—42no—
1266C22×C3—42no—
1267C22×C3—42no—
1268C22×C3—44no—
1269C22×C3—44no—
1270C22×C3—42no—
1271C22×C3—42no—
1272C22×C3—42no—
1273C22×C3—41no—
1274C22×C3—41no—
1275C22×C3—41no—
1276C22×C3—41no—
1277C22×C3—41no—
1278C22×C3—41no—
1279C22×C3—41no—
1280C22×C3—41no—
1281C22×C3—41no—
1282C22×C3—41no—
1283C22×C3—81no—
1284C22×C3—81no—
1285C22×C3—81no—
1286C22×C3—81no—
1287C22×C3—81no—
1288C22×C3—81no—
1289C22×C3—82no—
1290C22×C3—82no—
1291C22×C3—82no—
1292C22×C3—82no—
1293C22×C3—82no—
1294C22×C3—82no—
1295C22×C3—82no—
1296C22×C3—82no—
1297C22×C3—81no—
1298C22×C3—81no—
1299C22×C3—82no—
1300C22×C3—84no—
1301C22×C3—84no—
1302C22×C3—84no—
1303C22×C3—84no—
1304C22×C3—82no—
1305C22×C3—122no—
1306C22×C3—122no—
1307C22×C3—122no—
1308C22×C3—482no—
1309C22×C3#474111yescharacteristic
1310C22×C3#474211yescharacteristic
1311C22×C3#474611yescharacteristic
1312C22×C3#474711yescharacteristic
1313C22×C3#495511yescharacteristic
1314C22×C3C2×#82511yescharacteristic
1315C22×C3#513911yescharacteristic
1316C22×C3C2×#83711yescharacteristic
1317C22×C3#523611yescharacteristic
1318C22×C3#524111yescharacteristic
1319C22×C3#524211yescharacteristic
1320C22×C3#524311yescharacteristic
1321C22×C3#524411yescharacteristic
1322C22×C3#524711yescharacteristic
1323C2×D3—42no—
1324C2×D3—42no—
1325C2×D3—42no—
1326C2×D3—162no—
1327C3×C4—22no—
1328C3×C4—22no—
1329C3×C4—22no—
1330C3×C4—22no—
1331C3×C4—42no—
1332C3×C4—42no—
1333C3×C4—41no—
1334C3×C4—41no—
1335C3×C4—41no—
1336C3×C4—41no—
1337C3×C4—81no—
1338C3×C4—81no—
1339C3×C4—122no—
1340C3×C4—122no—
1341C3×C4—122no—
1342Dic3—42no—
1343Dic3—42no—
1344Dic3—42no—
1345Dic3—128no—
1346Dic3—124no—
1347Dic3—124no—
1348Dic3—244no—
1349Dic3—242no—
1350Dic3—242no—
1351C32#834611yescharacteristic, complemented, Sylow
1352C23—21no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—42no—
1364C23—42no—
1365C23—41no—
1366C23—41no—
1367C23—41no—
1368C23—41no—
1369C23—42no—
1370C23—42no—
1371C23—42no—
1372C23—42no—
1373C23—41no—
1374C23—41no—
1375C23—41no—
1376C23—41no—
1377C23—62no—
1378C23—81no—
1379C23—81no—
1380C23—81no—
1381C23—81no—
1382C23—81no—
1383C23—81no—
1384C23—122no—
1385C23—241no—
1386C23—241no—
1387C23#6356812yescomplemented
1388C23C2×(C2×D3)⋊Dic311yescharacteristic
1389C23#6397711yescharacteristic
1390C23#6397711yescharacteristic
1391Q8—122no—
1392Q8—241no—
1393D4—122no—
1394D4—124no—
1395D4—122no—
1396D4—122no—
1397D4—122no—
1398D4—122no—
1399D4—122no—
1400D4—122no—
1401D4—241no—
1402D4—242no—
1403D4—242no—
1404C2×C4—22no—
1405C2×C4—22no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—41no—
1409C2×C4—41no—
1410C2×C4—42no—
1411C2×C4—41no—
1412C2×C4—41no—
1413C2×C4—41no—
1414C2×C4—41no—
1415C2×C4—62no—
1416C2×C4—62no—
1417C2×C4—62no—
1418C2×C4—81no—
1419C2×C4—122no—
1420C2×C4—184no—
1421C2×C4—242no—
1422C2×C4—242no—
1423C2×C4—241no—
1424C2×C4—241no—
1425C2×C4—362no—
1426C2×C4—362no—
1427C2×C4—362no—
1428C2×C4—362no—
1429C2×C4—362no—
1430C2×C4—362no—
1431C2×C4—362no—
1432C2×C4—362no—
1433C2×C4—362no—
1434C2×C4—721no—
1435C2×C4—721no—
1436C2×C4—721no—
1437C2×C4—721no—
1438C2×C4D3×#21712yes—
1439C2×C4#6397612yes—
1440C8—242no—
1441C2×C3—22no—
1442C2×C3—22no—
1443C2×C3—22no—
1444C2×C3—22no—
1445C2×C3—22no—
1446C2×C3—22no—
1447C2×C3—21no—
1448C2×C3—21no—
1449C2×C3—21no—
1450C2×C3—21no—
1451C2×C3—21no—
1452C2×C3—21no—
1453C2×C3—21no—
1454C2×C3—21no—
1455C2×C3—21no—
1456C2×C3—21no—
1457C2×C3—21no—
1458C2×C3—21no—
1459C2×C3—21no—
1460C2×C3—21no—
1461C2×C3—21no—
1462C2×C3—42no—
1463C2×C3—42no—
1464C2×C3—82no—
1465C2×C3—82no—
1466C2×C3—81no—
1467C2×C3—81no—
1468C2×C3—242no—
1469C2×C3#6999111yescharacteristic
1470C2×C3#7003311yescharacteristic
1471C2×C3#7008611yescharacteristic
1472C2×C3#7213811yescharacteristic
1473C2×C3#7214011yescharacteristic
1474C2×C3#7214211yescharacteristic
1475D3—82no—
1476C22—21no—
1477C22—21no—
1478C22—21no—
1479C22—21no—
1480C22—21no—
1481C22—21no—
1482C22—21no—
1483C22—21no—
1484C22—21no—
1485C22—21no—
1486C22—21no—
1487C22—21no—
1488C22—21no—
1489C22—21no—
1490C22—22no—
1491C22—42no—
1492C22—42no—
1493C22—41no—
1494C22—41no—
1495C22—41no—
1496C22—41no—
1497C22—41no—
1498C22—81no—
1499C22—82no—
1500C22—82no—
1501C22—82no—
1502C22—82no—
1503C22—81no—
1504C22—122no—
1505C22—122no—
1506C22—122no—
1507C22—482no—
1508C22C2×#6356811yescharacteristic
1509C22#1059111011yescharacteristic
1510C22#1059151011yescharacteristic
1511C22#1059151311yescharacteristic
1512C22#1059153111yescharacteristic
1513C22#1059153411yescharacteristic
1514C22#1059170611yescharacteristic
1515C4—22no—
1516C4—22no—
1517C4—41no—
1518C4—41no—
1519C4—122no—
1520C4—122no—
1521C4—122no—
1522C4—364no—
1523C4—722no—
1524C3—21no—
1525C3#1068669811yescharacteristic, complemented
1526C3#1068670011yescharacteristic, complemented
1527C2—21no—
1528C2—21no—
1529C2—21no—
1530C2—21no—
1531C2—21no—
1532C2—21no—
1533C2—42no—
1534C2—81no—
1535C2—242no—
1536C2#1178480311yescharacteristic
1537C2#1178482511yescharacteristic
1538C2#1178487011yescharacteristic
subgroupG/H
centerC22#10591706
commutatorC22×C32×C4C22×C4
FrattiniC23×C4C2×D32
FittingC22×C32×C22⋊C4C22
socleC22×C32#379
prime radicalC3×#85697C2
cosocleC23×C32×C4C23
hypercenterC22×C22⋊C4D32
hypocenterC32#8346
LCSG ▷ C22×C32×C4 ▷ C22×C32 ▷ C32
UCSC1 ◁ C22 ◁ C23×C4 ◁ C22×C22⋊C4

Complements

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

NH ≅ G/Ntype
2. #11788178C2semidirect
3. #11775124C2semidirect
4. C3×#71539C2semidirect
5. #11773257C2semidirect
10. C22×C4×C3⋊Dic3C22semidirect
17. C3×#5494C4semidirect
18. C3×#5493C4semidirect
22. C3×#5483C4semidirect
24. C2×#63658C22semidirect
25. C3×#5207C22semidirect
40. #71539D3semidirect
137. #5494Dic3semidirect
138. #5493Dic3semidirect
142. #5483Dic3semidirect
151. #5207C2×D3semidirect
221. C2×C3×D12C22⋊C4semidirect
225. C2×C3×Dic6C22⋊C4semidirect
245. C3×C4⋊Dic3C22⋊C4semidirect
246. C3×C4⋊Dic3C22⋊C4semidirect
442. C23×C32#104semidirect
682. C2×D12#217semidirect
686. C2×Dic6#217semidirect
737. C4⋊Dic3#217semidirect
738. C4⋊Dic3#217semidirect
969. C23×C3#825semidirect
970. C23×C3#837semidirect
1351. C32#8346semidirect
1387. C23#63568semidirect
1525. C3#10686698semidirect
1526. C3#10686700semidirect

Maximal subgroups

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

subgroupindex
C3×#856972
#117881782
#117751242
C3×#715392
#117732572
#106867003
#106866983