Finite Group Databasebeta

← #13172683

Subgroups — #13172683

Order 1728.

2134 conjugacy classes of subgroups.

The subgroup lattice has 1512 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#89049C211yesmaximal, characteristic, complemented
2C2×C3×#3811C211yesmaximal, characteristic, complemented
3C2×#88955C211yesmaximal, characteristic, complemented
4C2×D3×#626C211yesmaximal, characteristic, complemented
5#11723643C211yesmaximal, characteristic, complemented
6#11723636C211yesmaximal, characteristic, complemented
7#11723633C211yesmaximal, characteristic, complemented
8C3×#63971C211yesmaximal, characteristic, complemented
9C3×#63958C211yesmaximal, characteristic, complemented
10#11722966C211yesmaximal, characteristic, complemented
11#11722961C211yesmaximal, characteristic, complemented
12#11722951C211yesmaximal, characteristic, complemented
13#11722947C211yesmaximal, characteristic, complemented
14#11722931C211yesmaximal, characteristic, complemented
15#11722927C211yesmaximal, characteristic, complemented
16#10595291—31nomaximal
17#10595288—31nomaximal
18#10594284—31nomaximal
19C23×C3×C3⋊D3C2211yescharacteristic, complemented
20C22×#1113C2211yescharacteristic, complemented
21C22×D3×C3⋊D3C2211yescharacteristic, complemented
22C22×C3×D32C2211yescharacteristic, complemented
23C2×#6312C2211yescharacteristic, complemented
24C2×C3×#638C2211yescharacteristic, complemented
25C2×C3×#638C2211yescharacteristic, complemented
26C2×C32×#67C2211yescharacteristic, complemented
27C2×C32×#67C2211yescharacteristic, complemented
28#89049—24no—
29C2×#6295C2211yescharacteristic
30C2×#6295C2211yescharacteristic, complemented
31C2×#6294C2211yescharacteristic, complemented
32C2×#6292C2211yescharacteristic, complemented
33C2×#6292C2211yescharacteristic, complemented
34C2×#6292C2211yescharacteristic, complemented
35C2×#6291C2211yescharacteristic, complemented
36C2×#6290C2211yescharacteristic, complemented
37C3×#3811—24no—
38C2×C3×#626C2211yescharacteristic
39C2×C3×#626C2211yescharacteristic, complemented
40C2×C3×#626C2211yescharacteristic, complemented
41C2×C3×#626C2211yescharacteristic, complemented
42C2×C3×#624C2211yescharacteristic, complemented
43C2×C3×#624C2211yescharacteristic, complemented
44C2×C3×D3×Dic3C2211yescharacteristic, complemented
45#88955—24no—
46D3×#626—24no—
47C32×#217C2211yescharacteristic, complemented
48#88804C2211yescharacteristic, complemented
49#88803C2211yescharacteristic, complemented
50#88803C2211yescharacteristic, complemented
51#88803C2211yescharacteristic, complemented
52(C2×D3)⋊(C3⋊Dic3)C2211yescharacteristic, complemented
53Dic3×C3⋊Dic3C2211yescharacteristic, complemented
54C3×#3724C2211yescharacteristic, complemented
55C3×Dic3⋊Dic3C2211yescharacteristic, complemented
56C3×#3722C2211yescharacteristic, complemented
57C3×(C2×D3)⋊Dic3C2211yescharacteristic, complemented
58C2×C3×D3×D4—31no—
59C2×C3×D3×D4—31no—
60C2×#3811—31no—
61C2×#3811—31no—
62C2×#3811D311yescharacteristic, complemented
63C2×D3×#67—31no—
64C2×D3×#67—31no—
65C2×D3×#67—31no—
66C22×#626—31no—
67C2×D3×D12—31no—
68C2×D3×D12—31no—
69C2×D3×D12—31no—
70#64149—31no—
71#64146—31no—
72#64091—31no—
73C3×#939—31no—
74C3×#938—31no—
75C3×#884—31no—
76C3×#884—31no—
77#63983—31no—
78#63983—31no—
79#63983—31no—
80#63983—61no—
81#63979—31no—
82#63979—31no—
83#63979—61no—
84#63977—31no—
85#63977—31no—
86#63977—31no—
87#63977—61no—
88#63976—31no—
89Dic3×#67—31no—
90#63971—31no—
91#63971D311yescharacteristic, complemented
92#63958D311yescharacteristic, complemented
93#63922—31no—
94#63922—31no—
95#63922—31no—
96#63910—31no—
97#63910—31no—
98#63909—31no—
99#63906—31no—
100#63904—31no—
101#63904—31no—
102#63904—31no—
103C4×#625—31no—
104#63898—31no—
105#63886—31no—
106C23×C33C2311yescharacteristic
107C22×C3⋊(C3⋊D3)C2311yescharacteristic
108C22×C3×C3⋊D3—22no—
109C22×C3×C3⋊D3—22no—
110C22×C3×C3⋊D3—41no—
111C22×C3×C3⋊D3C2311yescharacteristic
112C22×C3×C3⋊D3C2311yescharacteristic
113C22×C3×C3⋊D3C2311yescharacteristic
114C22×C3×C3⋊D3C2311yescharacteristic
115C22×C32×D3C2311yescharacteristic
116C22×C32×D3C2311yescharacteristic
117C2×#1113—22no—
118C2×#1113—22no—
119C2×#1113—41no—
120C2×D3×C3⋊D3—22no—
121C2×D3×C3⋊D3—22no—
122C2×D3×C3⋊D3—41no—
123C2×C3×D32—22no—
124C2×C3×D32—22no—
125C2×C3×D32—41no—
126#6312—41no—
127C2×C3⋊(C3⋊Dic3)C2311yescharacteristic
128C3×#638—22no—
129C3×#638—22no—
130C2×C3×C3⋊Dic3C2311yescharacteristic
131C2×C3×C3⋊Dic3C2311yescharacteristic
132C32×#67—22no—
133C32×#67—22no—
134C2×C32×Dic3C2311yescharacteristic
135C2×C32×Dic3C2311yescharacteristic
136C2×C32×Dic3C2311yescharacteristic
137C2×C32×Dic3C2311yescharacteristic
138#6295—22no—
139#6295D414yescomplemented
140#6294—22no—
141#6292—22no—
142#6292—22no—
143#6292—22no—
144#6291—22no—
145#6290—41no—
146C3×#626—22no—
147C3×#626—22no—
148C3×#626—22no—
149C3×#626D414yescomplemented
150C3×#624—22no—
151C3×#624—22no—
152C3×D3×Dic3—22no—
153D4×#67—91no—
154#5609—91no—
155#5609—91no—
156C23×C3⋊D3—31no—
157C23×C3⋊D3C2×D311yescharacteristic, complemented
158C23×C3×D3—31no—
159C23×C3×D3—31no—
160C23×C3×D3—31no—
161C23×C3×D3—31no—
162C23×C3×D3—61no—
163C22×D32—31no—
164C22×D32—31no—
165C22×D32—31no—
166C22×D32—31no—
167C22×D32—31no—
168C22×D32—61no—
169C22×D32C2×D311yescharacteristic, complemented
170C2×C32×D4—31no—
171C2×C32×D4—31no—
172C2×#638—31no—
173C2×#638—31no—
174C2×#638—31no—
175C2×#638—31no—
176C2×#638—31no—
177C2×#638—61no—
178C2×#638—61no—
179C2×#638—61no—
180C2×#638—121no—
181C2×#638C2×D311yescharacteristic, complemented
182C2×#638C2×D311yescharacteristic, complemented
183C2×C4⋊(C3⋊D3)—31no—
184C2×C4⋊(C3⋊D3)—31no—
185C2×C4⋊(C3⋊D3)—31no—
186C2×C3×#67—21no—
187C2×C3×#67—21no—
188C2×C3×#67—31no—
189C2×C3×#67—31no—
190C2×C3×#67—31no—
191C2×C3×#67—31no—
192C2×C3×#67—31no—
193C2×C3×#67—31no—
194C2×C3×#67—31no—
195C2×C3×#67—31no—
196C2×C3×#67—61no—
197C2×C3×#67—61no—
198C2×C3×#67C2×D311yescharacteristic, complemented
199C2×C3×#67C2×D311yescharacteristic, complemented
200C2×C3×#67C2×D311yescharacteristic, complemented
201C2×C3×#67C2×D311yescharacteristic, complemented
202C22×C3×Dic3—31no—
203C3×D3×D4—64no—
204C3×D3×D4—64no—
205C2×C3×D12—31no—
206C2×C3×D12—31no—
207C2×C3×D12—31no—
208C2×C3×D12—31no—
209C2×C3×C4×D3—31no—
210C2×C3×C4×D3—31no—
211C2×C3×C4×D3—31no—
212C2×C3×C4×D3—31no—
213C2×C3×C4×D3—31no—
214#3811—24no—
215#3811—64no—
216#3811—64no—
217D3×#67—64no—
218D3×#67—64no—
219D3×#67—64no—
220C2×#626—31no—
221C2×#626—31no—
222C2×#626—31no—
223C2×#626—31no—
224C2×#626—31no—
225C2×#626—31no—
226C2×#626—31no—
227C2×#626—31no—
228C2×#626—31no—
229C2×#626—31no—
230C2×#626—31no—
231C2×#626—31no—
232C2×#626—64no—
233C2×#626—61no—
234C2×#626—61no—
235C2×#626—61no—
236C2×#626—61no—
237C2×#626C2×D311yescharacteristic
238C2×#626C2×D311yescharacteristic, complemented
239C2×#626C2×D311yescharacteristic, complemented
240C2×#626C2×D311yescharacteristic, complemented
241C2×#625—31no—
242C2×#625—31no—
243C2×#625—31no—
244C2×#625—31no—
245C2×#625—61no—
246C2×#624—31no—
247C2×#624C2×D311yescharacteristic, complemented
248C2×#624C2×D311yescharacteristic, complemented
249C2×D3×Dic3—31no—
250C2×D3×Dic3—31no—
251C2×D3×Dic3C2×D311yescharacteristic, complemented
252D3×D12—64no—
253D3×D12—64no—
254D3×D12—64no—
255C32×C22⋊C4—31no—
256#3757—31no—
257#3752—31no—
258#3752—31no—
259#3752—31no—
260#3752—31no—
261C4×C3⋊Dic3—31no—
262C3×#217—21no—
263C3×#217—31no—
264C3×#217C2×D311yescharacteristic, complemented
265C3×#217C2×D311yescharacteristic, complemented
266C3×(C2×D3)⋊C4—31no—
267C3×(C2×D3)⋊C4—31no—
268C3×(C2×D3)⋊C4—31no—
269C3×C4⋊Dic3—31no—
270C3×Dic3⋊C4—31no—
271C3×Dic3⋊C4—31no—
272C3×Dic3⋊C4—31no—
273#3724C2×D311yescharacteristic, complemented
274Dic3⋊Dic3C2×D311yescharacteristic, complemented
275#3722—31no—
276#3722—31no—
277#3722—61no—
278#3722C2×D311yescharacteristic, complemented
279(C2×D3)⋊Dic3—31no—
280(C2×D3)⋊Dic3—31no—
281(C2×D3)⋊Dic3—31no—
282(C2×D3)⋊Dic3—31no—
283(C2×D3)⋊Dic3—31no—
284(C2×D3)⋊Dic3—31no—
285(C2×D3)⋊Dic3—31no—
286(C2×D3)⋊Dic3—31no—
287(C2×D3)⋊Dic3—61no—
288(C2×D3)⋊Dic3—61no—
289(C2×D3)⋊Dic3—61no—
290(C2×D3)⋊Dic3—61no—
291(C2×D3)⋊Dic3C2×D311yescharacteristic, complemented
292Dic32—31no—
293Dic32—31no—
294Dic32—61no—
295C22×C33—21no—
296C22×C33—21no—
297C22×C33—21no—
298C22×C33C2411yescharacteristic
299C2×C3⋊(C3⋊D3)—21no—
300C2×C3⋊(C3⋊D3)—21no—
301C2×C3⋊(C3⋊D3)—21no—
302C2×C3×C3⋊D3—21no—
303C2×C3×C3⋊D3—21no—
304C2×C3×C3⋊D3—21no—
305C2×C3×C3⋊D3—21no—
306C2×C3×C3⋊D3—21no—
307C2×C3×C3⋊D3—21no—
308C2×C3×C3⋊D3—21no—
309C2×C3×C3⋊D3—21no—
310C2×C3×C3⋊D3—21no—
311C2×C3×C3⋊D3—44no—
312C2×C3×C3⋊D3C2×D412yescomplemented
313C2×C3×C3⋊D3C2×D412yescomplemented
314C2×C3×C3⋊D3C2×D412yescomplemented
315C2×C32×D3—21no—
316C2×C32×D3—21no—
317C2×C32×D3—21no—
318C2×C32×D3—21no—
319C2×C32×D3—21no—
320C2×C32×D3C2×D412yescomplemented
321#1113—44no—
322D3×C3⋊D3—44no—
323C3×D32—44no—
324C3⋊(C3⋊Dic3)—21no—
325C3×C3⋊Dic3—21no—
326C3×C3⋊Dic3C2×D412yescomplemented
327C32×Dic3—21no—
328C32×Dic3—21no—
329C32×Dic3—21no—
330C32×Dic3C2×D412yescomplemented
331C22×C3×D4—91no—
332C22×#67—91no—
333C22×#67—91no—
334C2×D3×D4—31no—
335C2×D3×D4—31no—
336C2×D3×D4—91no—
337C2×D3×D4—91no—
338C2×D3×D4—91no—
339C2×D3×D4—91no—
340C2×D3×D4—91no—
341C22×D12—91no—
342C22×D12—91no—
343C3×#121—91no—
344C3×#121—91no—
345#953—91no—
346#953—91no—
347#940—91no—
348#940—91no—
349#940—91no—
350#940—181no—
351#939—31no—
352#939—91no—
353#938—31no—
354#937—91no—
355#937—91no—
356#937—91no—
357#937—91no—
358#937—91no—
359#937—91no—
360#937—181no—
361D4×Dic3—91no—
362#930—91no—
363C4×#67—91no—
364C4×#67—91no—
365C4×#67—91no—
366#895—91no—
367#895—91no—
368#893—91no—
369#893—91no—
370#884—31no—
371#884—31no—
372#884—91no—
373#884—91no—
374#882—91no—
375#882—91no—
376#882—91no—
377#882—91no—
378#882—181no—
379C23×C32—21no—
380C23×C32—21no—
381C23×C32—21no—
382C23×C32—31no—
383C23×C32—31no—
384C23×C32—41no—
385C23×C32C22×D311yescharacteristic
386C23×C32C22×D311yescharacteristic
387C23×C32C22×D311yescharacteristic
388C22×C3⋊D3—22no—
389C22×C3⋊D3—22no—
390C22×C3⋊D3—31no—
391C22×C3⋊D3—31no—
392C22×C3⋊D3—31no—
393C22×C3⋊D3—41no—
394C22×C3⋊D3—61no—
395C22×C3⋊D3—61no—
396C22×C3⋊D3—61no—
397C22×C3⋊D3—62no—
398C22×C3⋊D3—62no—
399C22×C3⋊D3—121no—
400C22×C3⋊D3—121no—
401C22×C3⋊D3C22×D311yescharacteristic
402C22×C3⋊D3C22×D311yescharacteristic
403C22×C3⋊D3C22×D311yescharacteristic
404C22×C3⋊D3C22×D311yescharacteristic
405C22×C3×D3—21no—
406C22×C3×D3—21no—
407C22×C3×D3—31no—
408C22×C3×D3—31no—
409C22×C3×D3—31no—
410C22×C3×D3—31no—
411C22×C3×D3—31no—
412C22×C3×D3—31no—
413C22×C3×D3—31no—
414C22×C3×D3—31no—
415C22×C3×D3—61no—
416C22×C3×D3—61no—
417C22×C3×D3—61no—
418C22×C3×D3—61no—
419C22×C3×D3—62no—
420C22×C3×D3—62no—
421C22×C3×D3—62no—
422C22×C3×D3—62no—
423C22×C3×D3—62no—
424C22×C3×D3—62no—
425C22×C3×D3—62no—
426C22×C3×D3—62no—
427C22×C3×D3—122no—
428C22×C3×D3—122no—
429C22×C3×D3—121no—
430C22×C3×D3—121no—
431C22×C3×D3—121no—
432C22×C3×D3—121no—
433C22×C3×D3—122no—
434C22×C3×D3C22×D311yescharacteristic
435C22×C3×D3C22×D311yescharacteristic
436C22×C3×D3C22×D311yescharacteristic
437C22×C3×D3C22×D311yescharacteristic
438C2×D32—22no—
439C2×D32—22no—
440C2×D32—41no—
441C2×D32—62no—
442C2×D32—62no—
443C2×D32—62no—
444C2×D32—62no—
445C2×D32—62no—
446C2×D32—62no—
447C2×D32—62no—
448C2×D32—62no—
449C2×D32—62no—
450C2×D32—62no—
451C2×D32—122no—
452C2×D32—122no—
453C2×D32—121no—
454C2×D32—121no—
455C2×D32—122no—
456C2×D32—121no—
457C2×D32—121no—
458C2×D32—121no—
459C32×D4—62no—
460C32×D4—62no—
461C2×C32×C4—31no—
462C2×C32×C4—31no—
463C2×C32×C4—31no—
464C2×C32×C4—31no—
465#638—22no—
466#638—22no—
467#638—62no—
468#638—121no—
469#638—121no—
470#638—121no—
471#638—121no—
472#638—122no—
473#638—122no—
474#638—122no—
475#638—124no—
476C2×C3⋊Dic3—31no—
477C2×C3⋊Dic3—31no—
478C2×C3⋊Dic3—31no—
479C2×C3⋊Dic3—61no—
480C2×C3⋊Dic3—61no—
481C2×C3⋊Dic3—61no—
482C2×C3⋊Dic3—121no—
483C2×C3⋊Dic3C22×D311yescharacteristic
484C2×C3⋊Dic3C22×D311yescharacteristic
485C4⋊(C3⋊D3)—62no—
486C4⋊(C3⋊D3)—62no—
487C4⋊(C3⋊D3)—62no—
488C3×#67—22no—
489C3×#67—22no—
490C3×#67—22no—
491C3×#67—22no—
492C3×#67—34no—
493C3×#67—42no—
494C3×#67—42no—
495C3×#67—62no—
496C3×#67—62no—
497C3×#67—62no—
498C3×#67—62no—
499C3×#67—62no—
500C3×#67—62no—
501C3×#67—62no—
502C3×#67—122no—
503C3×#67—122no—
504C2×C3×Dic3—21no—
505C2×C3×Dic3—21no—
506C2×C3×Dic3—21no—
507C2×C3×Dic3—21no—
508C2×C3×Dic3—31no—
509C2×C3×Dic3—31no—
510C2×C3×Dic3—31no—
511C2×C3×Dic3—31no—
512C2×C3×Dic3—61no—
513C2×C3×Dic3—61no—
514C2×C3×Dic3—62no—
515C2×C3×Dic3C22×D311yescharacteristic
516C2×C3×Dic3C22×D311yescharacteristic
517C2×C3×Dic3C22×D311yescharacteristic
518C2×C3×Dic3C22×D311yescharacteristic
519C2×C3×Dic3C22×D311yescharacteristic
520C2×C3×Dic3C22×D311yescharacteristic
521C2×C3×Dic3C22×D311yescharacteristic
522C2×C3×Dic3C22×D311yescharacteristic
523C3×D12—34no—
524C3×D12—62no—
525C3×D12—62no—
526C3×D12—62no—
527C3×C4×D3—62no—
528C3×C4×D3—62no—
529C3×C4×D3—62no—
530C3×C4×D3—62no—
531C3×C4×D3—62no—
532#626—22no—
533#626—22no—
534#626—22no—
535#626—34no—
536#626—34no—
537#626—62no—
538#626—62no—
539#626—62no—
540#626—62no—
541#626—62no—
542#626—62no—
543#626—62no—
544#626—62no—
545#626—62no—
546#626—62no—
547#626—122no—
548#626—122no—
549#626—122no—
550#626—122no—
551#626#6714yescomplemented
552#625—34no—
553#625—62no—
554#625—121no—
555#625—121no—
556#625—122no—
557#624—22no—
558#624—22no—
559#624—62no—
560D3×Dic3—22no—
561D3×Dic3—62no—
562D3×Dic3—62no—
563D42—271noSylow
564C2×C33—41no—
565C2×C33C22×D411yescharacteristic
566C2×C33C22×D411yescharacteristic
567C2×C33H(5,𝔽2)11yescharacteristic
568C3⋊(C3⋊D3)—41no—
569C3×C3⋊D3—22no—
570C3×C3⋊D3—22no—
571C3×C3⋊D3—22no—
572C3×C3⋊D3—41no—
573C32×D3—22no—
574C32×D3—41no—
575C24×C3—91no—
576C24×C3—91no—
577C23×D3—31no—
578C23×D3—31no—
579C23×D3—31no—
580C23×D3—31no—
581C23×D3—61no—
582C23×D3—91no—
583C23×D3—91no—
584C23×D3—91no—
585C23×D3—91no—
586C23×D3—91no—
587C23×D3—91no—
588C23×D3—181no—
589C2×C3×D4—31no—
590C2×C3×D4—31no—
591C2×C3×D4—31no—
592C2×C3×D4—31no—
593C2×C3×D4—61no—
594C2×C3×D4—61no—
595C2×C3×D4—91no—
596C2×C3×D4—91no—
597C2×C3×D4—91no—
598C2×C3×D4—91no—
599C2×C3×D4—91no—
600C2×C3×D4—91no—
601C2×C3×D4—184no—
602C22×C3×C4—91no—
603C22×C3×C4—91no—
604C22×C3×C4—91no—
605C2×#67—31no—
606C2×#67—31no—
607C2×#67—31no—
608C2×#67—31no—
609C2×#67—31no—
610C2×#67—31no—
611C2×#67—31no—
612C2×#67—31no—
613C2×#67—61no—
614C2×#67—61no—
615C2×#67—91no—
616C2×#67—91no—
617C2×#67—91no—
618C2×#67—91no—
619C2×#67—91no—
620C2×#67—91no—
621C2×#67—91no—
622C2×#67—91no—
623C2×#67—91no—
624C2×#67—91no—
625C2×#67—91no—
626C2×#67—91no—
627C2×#67—91no—
628C2×#67—91no—
629C2×#67—91no—
630C2×#67—181no—
631C2×#67—181no—
632C2×#67—181no—
633C2×#67—181no—
634C2×#67—181no—
635C2×#67—184no—
636C2×#67—184no—
637C2×#67—361no—
638C2×#67D3211yescharacteristic, complemented
639C2×#67D3211yescharacteristic, complemented
640C22×Dic3—31no—
641C22×Dic3—91no—
642D3×D4—64no—
643D3×D4—64no—
644D3×D4—184no—
645D3×D4—184no—
646D3×D4—184no—
647D3×D4—184no—
648D3×D4—184no—
649C2×D12—31no—
650C2×D12—31no—
651C2×D12—31no—
652C2×D12—31no—
653C2×D12—91no—
654C2×D12—91no—
655C2×D12—91no—
656C2×D12—91no—
657C2×D12—91no—
658C2×D12—91no—
659C2×D12—91no—
660C2×D12—91no—
661C2×D12—91no—
662C2×D12—181no—
663C2×D12—181no—
664C2×D12—181no—
665C2×D12—184no—
666C2×D12—184no—
667C2×C4×D3—31no—
668C2×C4×D3—31no—
669C2×C4×D3—31no—
670C2×C4×D3—31no—
671C2×C4×D3—31no—
672C2×C4×D3—91no—
673C2×C4×D3—91no—
674C3×C4⋊C4—91no—
675C3×C4⋊C4—91no—
676C3×C22⋊C4—31no—
677C3×C22⋊C4—31no—
678C3×C22⋊C4—61no—
679C3×C22⋊C4—91no—
680C3×C22⋊C4—91no—
681#217—31no—
682#217—91no—
683#217—91no—
684#217—91no—
685#217—91no—
686#217—91no—
687#217—181no—
688#217D3211yescharacteristic, complemented
689(C2×D3)⋊C4—31no—
690(C2×D3)⋊C4—31no—
691(C2×D3)⋊C4—31no—
692(C2×D3)⋊C4—91no—
693(C2×D3)⋊C4—91no—
694(C2×D3)⋊C4—91no—
695(C2×D3)⋊C4—91no—
696(C2×D3)⋊C4—91no—
697(C2×D3)⋊C4—91no—
698(C2×D3)⋊C4—91no—
699(C2×D3)⋊C4—91no—
700(C2×D3)⋊C4—91no—
701(C2×D3)⋊C4—91no—
702(C2×D3)⋊C4—181no—
703(C2×D3)⋊C4—181no—
704(C2×D3)⋊C4—181no—
705(C2×D3)⋊C4—181no—
706C4⋊Dic3—31no—
707Dic3⋊C4—31no—
708Dic3⋊C4—31no—
709Dic3⋊C4—31no—
710C4×Dic3—91no—
711C4×Dic3—91no—
712C4×Dic3—91no—
713C4×Dic3—181no—
714C22×C32—21no—
715C22×C32—22no—
716C22×C32—21no—
717C22×C32—21no—
718C22×C32—21no—
719C22×C32—21no—
720C22×C32—21no—
721C22×C32—21no—
722C22×C32—21no—
723C22×C32—21no—
724C22×C32—21no—
725C22×C32—21no—
726C22×C32—21no—
727C22×C32—32no—
728C22×C32—41no—
729C22×C32—41no—
730C22×C32—41no—
731C22×C32—42no—
732C22×C32—41no—
733C22×C32—41no—
734C22×C32—41no—
735C22×C32—41no—
736C22×C32—41no—
737C22×C32—41no—
738C22×C32—61no—
739C22×C32—61no—
740C22×C32—61no—
741C22×C32—61no—
742C22×C32—61no—
743C22×C32—81no—
744C22×C32—81no—
745C22×C32C23×D311yescharacteristic
746C22×C32C23×D311yescharacteristic
747C22×C32C23×D311yescharacteristic
748C2×C3⋊D3—21no—
749C2×C3⋊D3—21no—
750C2×C3⋊D3—21no—
751C2×C3⋊D3—21no—
752C2×C3⋊D3—21no—
753C2×C3⋊D3—21no—
754C2×C3⋊D3—21no—
755C2×C3⋊D3—21no—
756C2×C3⋊D3—21no—
757C2×C3⋊D3—44no—
758C2×C3⋊D3—61no—
759C2×C3⋊D3—62no—
760C2×C3⋊D3—61no—
761C2×C3⋊D3—61no—
762C2×C3⋊D3—61no—
763C2×C3⋊D3—61no—
764C2×C3⋊D3—61no—
765C2×C3⋊D3—61no—
766C2×C3⋊D3—61no—
767C2×C3⋊D3—61no—
768C2×C3⋊D3—121no—
769C2×C3⋊D3—121no—
770C2×C3⋊D3—122no—
771C2×C3⋊D3—121no—
772C2×C3⋊D3—121no—
773C2×C3⋊D3—121no—
774C2×C3⋊D3—121no—
775C2×C3⋊D3—121no—
776C2×C3⋊D3—121no—
777C2×C3⋊D3—124no—
778C2×C3⋊D3—241no—
779C2×C3⋊D3—241no—
780C2×C3⋊D3D3×D412yescomplemented
781C2×C3⋊D3D3×D412yescomplemented
782C2×C3⋊D3C2×#6712yescomplemented
783C2×C3×D3—21no—
784C2×C3×D3—21no—
785C2×C3×D3—21no—
786C2×C3×D3—21no—
787C2×C3×D3—21no—
788C2×C3×D3—21no—
789C2×C3×D3—21no—
790C2×C3×D3—21no—
791C2×C3×D3—21no—
792C2×C3×D3—21no—
793C2×C3×D3—22no—
794C2×C3×D3—32no—
795C2×C3×D3—32no—
796C2×C3×D3—32no—
797C2×C3×D3—32no—
798C2×C3×D3—32no—
799C2×C3×D3—32no—
800C2×C3×D3—41no—
801C2×C3×D3—41no—
802C2×C3×D3—41no—
803C2×C3×D3—41no—
804C2×C3×D3—41no—
805C2×C3×D3—62no—
806C2×C3×D3—62no—
807C2×C3×D3—62no—
808C2×C3×D3—61no—
809C2×C3×D3—61no—
810C2×C3×D3—61no—
811C2×C3×D3—61no—
812C2×C3×D3—61no—
813C2×C3×D3—61no—
814C2×C3×D3—61no—
815C2×C3×D3—61no—
816C2×C3×D3—61no—
817C2×C3×D3—61no—
818C2×C3×D3—61no—
819C2×C3×D3—61no—
820C2×C3×D3—61no—
821C2×C3×D3—61no—
822C2×C3×D3—61no—
823C2×C3×D3—61no—
824C2×C3×D3—61no—
825C2×C3×D3—61no—
826C2×C3×D3—121no—
827C2×C3×D3—121no—
828C2×C3×D3—121no—
829C2×C3×D3—121no—
830C2×C3×D3—121no—
831C2×C3×D3—121no—
832C2×C3×D3—121no—
833C2×C3×D3—121no—
834C2×C3×D3—121no—
835C2×C3×D3—124no—
836C2×C3×D3—124no—
837C2×C3×D3—124no—
838C2×C3×D3—124no—
839C2×C3×D3—128no—
840C2×C3×D3D3×D412yescomplemented
841C2×C3×D3C2×#6712yescomplemented
842D32—44no—
843D32—124no—
844D32—124no—
845D32—128no—
846D32—124no—
847D32—124no—
848D32—124no—
849C32×C4—32no—
850C32×C4—61no—
851C32×C4—61no—
852C32×C4—61no—
853C3⋊Dic3—21no—
854C3⋊Dic3—61no—
855C3⋊Dic3—62no—
856C3⋊Dic3—61no—
857C3⋊Dic3—61no—
858C3⋊Dic3—121no—
859C3⋊Dic3—121no—
860C3⋊Dic3—122no—
861C3⋊Dic3D3×D412yescomplemented
862C3×Dic3—21no—
863C3×Dic3—21no—
864C3×Dic3—21no—
865C3×Dic3—21no—
866C3×Dic3—21no—
867C3×Dic3—21no—
868C3×Dic3—22no—
869C3×Dic3—32no—
870C3×Dic3—32no—
871C3×Dic3—41no—
872C3×Dic3—41no—
873C3×Dic3—41no—
874C3×Dic3—62no—
875C3×Dic3—61no—
876C3×Dic3—61no—
877C3×Dic3—121no—
878C3×Dic3D3×D412yescomplemented
879C3×Dic3C2×#6712yescomplemented
880C22×D4—91no—
881C22×D4—271no—
882C22×D4—271no—
883C22×D4—271no—
884#127—271no—
885#121—91no—
886#121—91no—
887#121—271no—
888#121—271no—
889#120—271no—
890#120—271no—
891#120—271no—
892#120—271no—
893C4×D4—271no—
894C4×D4—271no—
895C33D4211yescharacteristic, complemented, Sylow
896C23×C3—21no—
897C23×C3—21no—
898C23×C3—21no—
899C23×C3—31no—
900C23×C3—31no—
901C23×C3—31no—
902C23×C3—31no—
903C23×C3—41no—
904C23×C3—61no—
905C23×C3—61no—
906C23×C3—91no—
907C23×C3—91no—
908C23×C3—91no—
909C23×C3—91no—
910C23×C3—182no—
911C23×C3—182no—
912C23×C3—182no—
913C23×C3—182no—
914C23×C3—361no—
915C23×C3—361no—
916C23×C3C2×D3211yescharacteristic
917C23×C3C2×D3211yescharacteristic
918C23×C3C2×D3211yescharacteristic
919C22×D3—31no—
920C22×D3—31no—
921C22×D3—31no—
922C22×D3—31no—
923C22×D3—31no—
924C22×D3—31no—
925C22×D3—31no—
926C22×D3—31no—
927C22×D3—61no—
928C22×D3—61no—
929C22×D3—61no—
930C22×D3—61no—
931C22×D3—62no—
932C22×D3—62no—
933C22×D3—62no—
934C22×D3—62no—
935C22×D3—62no—
936C22×D3—62no—
937C22×D3—62no—
938C22×D3—62no—
939C22×D3—91no—
940C22×D3—91no—
941C22×D3—91no—
942C22×D3—122no—
943C22×D3—122no—
944C22×D3—121no—
945C22×D3—121no—
946C22×D3—121no—
947C22×D3—121no—
948C22×D3—122no—
949C22×D3—181no—
950C22×D3—181no—
951C22×D3—181no—
952C22×D3—182no—
953C22×D3—182no—
954C22×D3—182no—
955C22×D3—182no—
956C22×D3—182no—
957C22×D3—182no—
958C22×D3—182no—
959C22×D3—182no—
960C22×D3—182no—
961C22×D3—182no—
962C22×D3—182no—
963C22×D3—182no—
964C22×D3—361no—
965C22×D3—362no—
966C22×D3—362no—
967C22×D3—361no—
968C22×D3—361no—
969C22×D3—361no—
970C22×D3—361no—
971C22×D3—361no—
972C22×D3—361no—
973C22×D3—362no—
974C22×D3C2×D3211yescharacteristic
975C22×D3C2×D3211yescharacteristic
976C3×D4—62no—
977C3×D4—62no—
978C3×D4—62no—
979C3×D4—62no—
980C3×D4—94no—
981C3×D4—122no—
982C3×D4—122no—
983C3×D4—182no—
984C3×D4—182no—
985C3×D4—182no—
986C3×D4—182no—
987C3×D4—182no—
988C2×C3×C4—31no—
989C2×C3×C4—31no—
990C2×C3×C4—31no—
991C2×C3×C4—31no—
992C2×C3×C4—31no—
993C2×C3×C4—31no—
994C2×C3×C4—31no—
995C2×C3×C4—31no—
996C2×C3×C4—61no—
997C2×C3×C4—61no—
998C2×C3×C4—61no—
999C2×C3×C4—61no—
1000C2×C3×C4—91no—
1001C2×C3×C4—91no—
1002C2×C3×C4—182no—
1003C2×C3×C4—182no—
1004C2×C3×C4—182no—
1005#67—22no—
1006#67—22no—
1007#67—34no—
1008#67—62no—
1009#67—62no—
1010#67—62no—
1011#67—62no—
1012#67—62no—
1013#67—62no—
1014#67—62no—
1015#67—94no—
1016#67—94no—
1017#67—122no—
1018#67—122no—
1019#67—182no—
1020#67—182no—
1021#67—182no—
1022#67—182no—
1023#67—182no—
1024#67—182no—
1025#67—182no—
1026#67—362no—
1027#67—361no—
1028#67—361no—
1029#67—361no—
1030#67—362no—
1031#67—361no—
1032#67—361no—
1033#67—361no—
1034#67—362no—
1035#67—362no—
1036#67—362no—
1037#67—364no—
1038C2×Dic3—31no—
1039C2×Dic3—31no—
1040C2×Dic3—31no—
1041C2×Dic3—31no—
1042C2×Dic3—61no—
1043C2×Dic3—61no—
1044C2×Dic3—62no—
1045C2×Dic3—91no—
1046C2×Dic3—91no—
1047C2×Dic3—91no—
1048C2×Dic3—181no—
1049C2×Dic3—181no—
1050C2×Dic3—181no—
1051C2×Dic3—182no—
1052C2×Dic3—361no—
1053C2×Dic3C2×D3211yescharacteristic
1054C2×Dic3C2×D3211yescharacteristic
1055C2×Dic3C2×D3211yescharacteristic
1056C2×Dic3C2×D3211yescharacteristic
1057D12—34no—
1058D12—62no—
1059D12—62no—
1060D12—62no—
1061D12—94no—
1062D12—182no—
1063D12—182no—
1064D12—182no—
1065D12—182no—
1066D12—182no—
1067D12—182no—
1068D12—182no—
1069D12—182no—
1070D12—362no—
1071D12—362no—
1072D12—362no—
1073C4×D3—62no—
1074C4×D3—62no—
1075C4×D3—62no—
1076C4×D3—62no—
1077C4×D3—62no—
1078C4×D3—182no—
1079C4×D3—182no—
1080C2×C32—21no—
1081C2×C32—21no—
1082C2×C32—21no—
1083C2×C32—21no—
1084C2×C32—21no—
1085C2×C32—21no—
1086C2×C32—21no—
1087C2×C32—21no—
1088C2×C32—21no—
1089C2×C32—41no—
1090C2×C32—41no—
1091C2×C32—41no—
1092C2×C32—41no—
1093C2×C32—42no—
1094C2×C32—41no—
1095C2×C32—41no—
1096C2×C32—62no—
1097C2×C32—81no—
1098C2×C32—81no—
1099C2×C32—82no—
1100C2×C32—121no—
1101C2×C32C2×D3×D411yescharacteristic
1102C2×C32C2×D3×D411yescharacteristic
1103C2×C32C2×D3×D411yescharacteristic
1104C2×C32C2×D3×D411yescharacteristic
1105C2×C32C2×D3×D411yescharacteristic
1106C2×C32#100411yescharacteristic
1107C2×C32#100911yescharacteristic
1108C2×C32#100911yescharacteristic
1109C2×C32C22×#6711yescharacteristic
1110C3⋊D3—22no—
1111C3⋊D3—22no—
1112C3⋊D3—22no—
1113C3⋊D3—41no—
1114C3⋊D3—121no—
1115C3⋊D3—122no—
1116C3⋊D3—121no—
1117C3⋊D3—121no—
1118C3⋊D3—241no—
1119C3⋊D3—241no—
1120C3⋊D3—242no—
1121C3×D3—22no—
1122C3×D3—22no—
1123C3×D3—42no—
1124C3×D3—41no—
1125C3×D3—41no—
1126C3×D3—62no—
1127C3×D3—62no—
1128C3×D3—62no—
1129C3×D3—62no—
1130C3×D3—62no—
1131C3×D3—62no—
1132C3×D3—81no—
1133C3×D3—122no—
1134C3×D3—122no—
1135C3×D3—122no—
1136C3×D3—121no—
1137C3×D3—121no—
1138C3×D3—241no—
1139C24—91no—
1140C24—91no—
1141C24—271no—
1142C24—271no—
1143C2×D4—31no—
1144C2×D4—31no—
1145C2×D4—91no—
1146C2×D4—91no—
1147C2×D4—91no—
1148C2×D4—91no—
1149C2×D4—91no—
1150C2×D4—91no—
1151C2×D4—184no—
1152C2×D4—271no—
1153C2×D4—271no—
1154C2×D4—271no—
1155C2×D4—271no—
1156C2×D4—271no—
1157C2×D4—271no—
1158C2×D4—271no—
1159C2×D4—271no—
1160C2×D4—544no—
1161C2×D4—544no—
1162C2×D4—544no—
1163C22×C4—91no—
1164C22×C4—91no—
1165C22×C4—91no—
1166C22×C4—271no—
1167C4⋊C4—91no—
1168C4⋊C4—91no—
1169C22⋊C4—31no—
1170C22⋊C4—91no—
1171C22⋊C4—91no—
1172C22⋊C4—271no—
1173C22⋊C4—271no—
1174C22⋊C4—271no—
1175C22⋊C4—271no—
1176C22⋊C4—271no—
1177C42—271no—
1178C22×C3—22no—
1179C22×C3—21no—
1180C22×C3—21no—
1181C22×C3—21no—
1182C22×C3—21no—
1183C22×C3—21no—
1184C22×C3—21no—
1185C22×C3—21no—
1186C22×C3—21no—
1187C22×C3—21no—
1188C22×C3—21no—
1189C22×C3—21no—
1190C22×C3—21no—
1191C22×C3—32no—
1192C22×C3—32no—
1193C22×C3—41no—
1194C22×C3—41no—
1195C22×C3—41no—
1196C22×C3—41no—
1197C22×C3—41no—
1198C22×C3—41no—
1199C22×C3—41no—
1200C22×C3—41no—
1201C22×C3—42no—
1202C22×C3—41no—
1203C22×C3—62no—
1204C22×C3—61no—
1205C22×C3—61no—
1206C22×C3—61no—
1207C22×C3—61no—
1208C22×C3—61no—
1209C22×C3—61no—
1210C22×C3—61no—
1211C22×C3—61no—
1212C22×C3—61no—
1213C22×C3—61no—
1214C22×C3—81no—
1215C22×C3—81no—
1216C22×C3—92no—
1217C22×C3—92no—
1218C22×C3—92no—
1219C22×C3—121no—
1220C22×C3—121no—
1221C22×C3—121no—
1222C22×C3—121no—
1223C22×C3—121no—
1224C22×C3—181no—
1225C22×C3—181no—
1226C22×C3—181no—
1227C22×C3—181no—
1228C22×C3—181no—
1229C22×C3—181no—
1230C22×C3—181no—
1231C22×C3—181no—
1232C22×C3—181no—
1233C22×C3—364no—
1234C22×C3—364no—
1235C22×C3C22×D3211yescharacteristic
1236C22×C3C22×D3211yescharacteristic
1237C22×C3C22×D3211yescharacteristic
1238C2×D3—21no—
1239C2×D3—21no—
1240C2×D3—21no—
1241C2×D3—21no—
1242C2×D3—21no—
1243C2×D3—32no—
1244C2×D3—32no—
1245C2×D3—32no—
1246C2×D3—32no—
1247C2×D3—32no—
1248C2×D3—32no—
1249C2×D3—62no—
1250C2×D3—62no—
1251C2×D3—62no—
1252C2×D3—61no—
1253C2×D3—61no—
1254C2×D3—61no—
1255C2×D3—61no—
1256C2×D3—61no—
1257C2×D3—61no—
1258C2×D3—61no—
1259C2×D3—61no—
1260C2×D3—61no—
1261C2×D3—61no—
1262C2×D3—61no—
1263C2×D3—61no—
1264C2×D3—61no—
1265C2×D3—61no—
1266C2×D3—61no—
1267C2×D3—61no—
1268C2×D3—61no—
1269C2×D3—61no—
1270C2×D3—121no—
1271C2×D3—121no—
1272C2×D3—121no—
1273C2×D3—121no—
1274C2×D3—121no—
1275C2×D3—121no—
1276C2×D3—121no—
1277C2×D3—121no—
1278C2×D3—121no—
1279C2×D3—124no—
1280C2×D3—124no—
1281C2×D3—124no—
1282C2×D3—124no—
1283C2×D3—128no—
1284C2×D3—182no—
1285C2×D3—181no—
1286C2×D3—181no—
1287C2×D3—181no—
1288C2×D3—181no—
1289C2×D3—181no—
1290C2×D3—181no—
1291C2×D3—181no—
1292C2×D3—181no—
1293C2×D3—181no—
1294C2×D3—361no—
1295C2×D3—361no—
1296C2×D3—361no—
1297C2×D3—361no—
1298C2×D3—361no—
1299C2×D3—361no—
1300C2×D3—361no—
1301C2×D3—361no—
1302C2×D3—362no—
1303C2×D3—364no—
1304C2×D3—364no—
1305C2×D3—364no—
1306C2×D3—364no—
1307C2×D3—364no—
1308C2×D3—364no—
1309C2×D3—368no—
1310C2×D3—721no—
1311C2×D3—721no—
1312C2×D3D3×#6712yescomplemented
1313C3×C4—32no—
1314C3×C4—32no—
1315C3×C4—62no—
1316C3×C4—61no—
1317C3×C4—61no—
1318C3×C4—61no—
1319C3×C4—61no—
1320C3×C4—61no—
1321C3×C4—61no—
1322C3×C4—92no—
1323C3×C4—121no—
1324C3×C4—121no—
1325C3×C4—121no—
1326C3×C4—181no—
1327Dic3—21no—
1328Dic3—21no—
1329Dic3—21no—
1330Dic3—32no—
1331Dic3—32no—
1332Dic3—62no—
1333Dic3—61no—
1334Dic3—61no—
1335Dic3—121no—
1336Dic3—182no—
1337Dic3—181no—
1338Dic3—181no—
1339Dic3—181no—
1340Dic3—361no—
1341Dic3—361no—
1342Dic3—362no—
1343Dic3D3×#6712yescomplemented
1344C32—21no—
1345C32—21no—
1346C32—21no—
1347C32—41no—
1348C32#560911yescharacteristic, complemented
1349C32#560911yescharacteristic, complemented
1350C32D4×#6711yescharacteristic, complemented
1351C23—31no—
1352C23—31no—
1353C23—91no—
1354C23—91no—
1355C23—91no—
1356C23—91no—
1357C23—182no—
1358C23—182no—
1359C23—182no—
1360C23—182no—
1361C23—271no—
1362C23—361no—
1363C23—361no—
1364C23—542no—
1365C23—542no—
1366C23—542no—
1367C23—542no—
1368C23—1081no—
1369C23—1081no—
1370C23D3311yescharacteristic
1371D4—62no—
1372D4—62no—
1373D4—94no—
1374D4—182no—
1375D4—182no—
1376D4—182no—
1377D4—182no—
1378D4—182no—
1379D4—274no—
1380D4—542no—
1381D4—542no—
1382D4—542no—
1383D4—542no—
1384D4—542no—
1385D4—1081no—
1386D4—1081no—
1387C2×C4—31no—
1388C2×C4—31no—
1389C2×C4—31no—
1390C2×C4—31no—
1391C2×C4—91no—
1392C2×C4—91no—
1393C2×C4—182no—
1394C2×C4—182no—
1395C2×C4—182no—
1396C2×C4—271no—
1397C2×C4—542no—
1398C2×C3—21no—
1399C2×C3—21no—
1400C2×C3—21no—
1401C2×C3—21no—
1402C2×C3—21no—
1403C2×C3—21no—
1404C2×C3—21no—
1405C2×C3—21no—
1406C2×C3—21no—
1407C2×C3—42no—
1408C2×C3—41no—
1409C2×C3—41no—
1410C2×C3—41no—
1411C2×C3—41no—
1412C2×C3—41no—
1413C2×C3—41no—
1414C2×C3—62no—
1415C2×C3—62no—
1416C2×C3—81no—
1417C2×C3—81no—
1418C2×C3—82no—
1419C2×C3—122no—
1420C2×C3—121no—
1421C2×C3—121no—
1422C2×C3—182no—
1423C2×C3—182no—
1424C2×C3—182no—
1425C2×C3—241no—
1426C2×C3—361no—
1427C2×C3#6430811yescharacteristic
1428C2×C3D32×D411yescharacteristic
1429C2×C3D32×D411yescharacteristic
1430C2×C3D32×D411yescharacteristic
1431C2×C3D32×D411yescharacteristic
1432C2×C3#6431411yescharacteristic
1433C2×C3#6431411yescharacteristic
1434C2×C3C2×D3×#6711yescharacteristic
1435C2×C3C2×D3×#6711yescharacteristic
1436D3—22no—
1437D3—41no—
1438D3—62no—
1439D3—62no—
1440D3—62no—
1441D3—62no—
1442D3—62no—
1443D3—62no—
1444D3—122no—
1445D3—122no—
1446D3—122no—
1447D3—121no—
1448D3—121no—
1449D3—241no—
1450D3—362no—
1451D3—361no—
1452D3—361no—
1453D3—361no—
1454D3—721no—
1455D3—721no—
1456D3—722no—
1457C22—21no—
1458C22—21no—
1459C22—21no—
1460C22—32no—
1461C22—61no—
1462C22—61no—
1463C22—61no—
1464C22—61no—
1465C22—61no—
1466C22—92no—
1467C22—92no—
1468C22—92no—
1469C22—181no—
1470C22—181no—
1471C22—181no—
1472C22—181no—
1473C22—181no—
1474C22—181no—
1475C22—181no—
1476C22—181no—
1477C22—181no—
1478C22—364no—
1479C22—364no—
1480C22—541no—
1481C22—541no—
1482C22—541no—
1483C22—1084no—
1484C22—1084no—
1485C22C2×D3311yescharacteristic
1486C4—32no—
1487C4—61no—
1488C4—61no—
1489C4—61no—
1490C4—92no—
1491C4—181no—
1492C4—541no—
1493C3—21no—
1494C3—21no—
1495C3—21no—
1496C3—41no—
1497C3#1059428411yescharacteristic, complemented
1498C3#1059528811yescharacteristic, complemented
1499C3#1059529111yescharacteristic, complemented
1500C2—41no—
1501C2—62no—
1502C2—121no—
1503C2—182no—
1504C2—182no—
1505C2—182no—
1506C2—361no—
1507C2—1081no—
1508C2#1172442011yescharacteristic
1509C2D32×#6711yescharacteristic
1510C2#1172444011yescharacteristic
subgroupG/H
center, FrattiniC22C2×D33
commutator, socle, cosocleC22×C33C24
FittingC23×C33C23
hypercenterC23D33
hypocenterC33D42
LCSG ▷ C22×C33 ▷ C33
UCSC1 ◁ C22 ◁ C23

Complements

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

NH ≅ G/Ntype
1. C2×#89049C2semidirect
2. C2×C3×#3811C2semidirect
3. C2×#88955C2semidirect
4. C2×D3×#626C2semidirect
5. #11723643C2semidirect
6. #11723636C2semidirect
7. #11723633C2semidirect
8. C3×#63971C2semidirect
9. C3×#63958C2semidirect
10. #11722966C2semidirect
11. #11722961C2semidirect
12. #11722951C2semidirect
13. #11722947C2semidirect
14. #11722931C2semidirect
15. #11722927C2semidirect
19. C23×C3×C3⋊D3C22semidirect
20. C22×#1113C22semidirect
21. C22×D3×C3⋊D3C22semidirect
22. C22×C3×D32C22semidirect
23. C2×#6312C22semidirect
24. C2×C3×#638C22semidirect
25. C2×C3×#638C22semidirect
26. C2×C32×#67C22semidirect
27. C2×C32×#67C22semidirect
30. C2×#6295C22semidirect
31. C2×#6294C22semidirect
32. C2×#6292C22semidirect
33. C2×#6292C22semidirect
34. C2×#6292C22semidirect
35. C2×#6291C22semidirect
36. C2×#6290C22semidirect
39. C2×C3×#626C22semidirect
40. C2×C3×#626C22semidirect
41. C2×C3×#626C22semidirect
42. C2×C3×#624C22semidirect
43. C2×C3×#624C22semidirect
44. C2×C3×D3×Dic3C22semidirect
47. C32×#217C22semidirect
48. #88804C22semidirect
49. #88803C22semidirect
50. #88803C22semidirect
51. #88803C22semidirect
52. (C2×D3)⋊(C3⋊Dic3)C22semidirect
53. Dic3×C3⋊Dic3C22semidirect
54. C3×#3724C22semidirect
55. C3×Dic3⋊Dic3C22semidirect
56. C3×#3722C22semidirect
57. C3×(C2×D3)⋊Dic3C22semidirect
62. C2×#3811D3semidirect
91. #63971D3semidirect
92. #63958D3semidirect
139. #6295D4semidirect
149. C3×#626D4semidirect
157. C23×C3⋊D3C2×D3semidirect
169. C22×D32C2×D3semidirect
181. C2×#638C2×D3semidirect
182. C2×#638C2×D3semidirect
198. C2×C3×#67C2×D3semidirect
199. C2×C3×#67C2×D3semidirect
200. C2×C3×#67C2×D3semidirect
201. C2×C3×#67C2×D3semidirect
238. C2×#626C2×D3semidirect
239. C2×#626C2×D3semidirect
240. C2×#626C2×D3semidirect
247. C2×#624C2×D3semidirect
248. C2×#624C2×D3semidirect
251. C2×D3×Dic3C2×D3semidirect
264. C3×#217C2×D3semidirect
265. C3×#217C2×D3semidirect
273. #3724C2×D3semidirect
274. Dic3⋊Dic3C2×D3semidirect
278. #3722C2×D3semidirect
291. (C2×D3)⋊Dic3C2×D3semidirect
312. C2×C3×C3⋊D3C2×D4semidirect
313. C2×C3×C3⋊D3C2×D4semidirect
314. C2×C3×C3⋊D3C2×D4semidirect
320. C2×C32×D3C2×D4semidirect
326. C3×C3⋊Dic3C2×D4semidirect
330. C32×Dic3C2×D4semidirect
551. #626#67semidirect
638. C2×#67D32semidirect
639. C2×#67D32semidirect
688. #217D32semidirect
780. C2×C3⋊D3D3×D4semidirect
781. C2×C3⋊D3D3×D4semidirect
782. C2×C3⋊D3C2×#67semidirect
840. C2×C3×D3D3×D4semidirect
841. C2×C3×D3C2×#67semidirect
861. C3⋊Dic3D3×D4semidirect
878. C3×Dic3D3×D4semidirect
879. C3×Dic3C2×#67semidirect
895. C33D42semidirect
1312. C2×D3D3×#67semidirect
1343. Dic3D3×#67semidirect
1348. C32#5609semidirect
1349. C32#5609semidirect
1350. C32D4×#67semidirect
1497. C3#10594284semidirect
1498. C3#10595288semidirect
1499. C3#10595291semidirect

Maximal subgroups

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

subgroupindex
C2×#890492
C2×C3×#38112
C2×#889552
C2×D3×#6262
#117236432
#117236362
#117236332
C3×#639712
C3×#639582
#117229662
#117229612
#117229512
#117229472
#117229312
#117229272
#105952913
#105952883
#105942843