Finite Group Databasebeta

← #13172679

Subgroups — #13172679

Order 1728.

2064 conjugacy classes of subgroups.

The subgroup lattice has 1482 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×#88953C211yesmaximal, characteristic, complemented
4C2×D3×#625C211yesmaximal, characteristic, complemented
5#11723634C211yesmaximal, characteristic, complemented
6#11723631C211yesmaximal, characteristic, complemented
7#11723615C211yesmaximal, characteristic, complemented
8C3×#63983C211yesmaximal, characteristic, complemented
9C3×#63979C211yesmaximal, characteristic, complemented
10#11722965C211yesmaximal, characteristic, complemented
11#11722957C211yesmaximal, characteristic, complemented
12#11722951C211yesmaximal, characteristic, complemented
13#11722947C211yesmaximal, characteristic, complemented
14#11722934C211yesmaximal, characteristic, complemented
15#11722928C211yesmaximal, characteristic, complemented
16#10595295—31nomaximal
17#10595293—31nomaximal
18#10595287—31nomaximal
19C23×C3×C3⋊D3C2211yescharacteristic, complemented
20C22×#1113C2211yescharacteristic, complemented
21C22×C3×D32C2211yescharacteristic, complemented
22C22×C3×D32C2211yescharacteristic, complemented
23C2×C3×#638C2211yescharacteristic, complemented
24C2×C3×#638C2211yescharacteristic, complemented
25C2×C32×#67C2211yescharacteristic, complemented
26C2×C32×#67C2211yescharacteristic, complemented
27C2×C32×#67C2211yescharacteristic, complemented
28#89049—24no—
29C2×#6295C2211yescharacteristic
30C2×#6295C2211yescharacteristic, complemented
31C2×#6294C2211yescharacteristic, complemented
32C2×#6290C2211yescharacteristic, complemented
33C2×#6290C2211yescharacteristic, complemented
34C2×#6290C2211yescharacteristic, complemented
35C2×#6290C2211yescharacteristic, complemented
36C2×Dic3×C3⋊D3C2211yescharacteristic, complemented
37C2×D3×C3⋊Dic3C2211yescharacteristic, complemented
38C3×#3811—24no—
39C2×C3×#626C2211yescharacteristic
40C2×C3×#626C2211yescharacteristic, complemented
41C2×C3×#626C2211yescharacteristic, complemented
42C2×C3×#626C2211yescharacteristic, complemented
43C2×C3×#625C2211yescharacteristic, complemented
44C2×C3×#624C2211yescharacteristic, complemented
45#88953—24no—
46D3×#625—24no—
47#88864C2211yescharacteristic, complemented
48#88807C2211yescharacteristic, complemented
49Dic3⋊(C3⋊Dic3)C2211yescharacteristic, complemented
50#88803C2211yescharacteristic, complemented
51#88803C2211yescharacteristic, complemented
52#88803C2211yescharacteristic, complemented
53(C2×D3)⋊(C3⋊Dic3)C2211yescharacteristic, complemented
54C3×#3722C2211yescharacteristic, complemented
55C3×(C2×D3)⋊Dic3C2211yescharacteristic, complemented
56C3×(C2×D3)⋊Dic3C2211yescharacteristic, complemented
57C3×Dic32C2211yescharacteristic, complemented
58C2×C3×D3×D4—31no—
59C2×C3×D3×D4—31no—
60C2×#3811—31no—
61C2×#3811D311yescharacteristic, complemented
62C2×D3×#67—31no—
63C2×D3×#67—31no—
64C2×D3×#67—31no—
65C2×D3×#67—31no—
66C2×D3×#67—31no—
67C2×D3×#67—31no—
68C22×#625—31no—
69C2×#3802—31no—
70#64148—31no—
71#64147—31no—
72#64146—31no—
73C3×#940—31no—
74C3×#940—31no—
75C3×#937—31no—
76C3×#937—31no—
77#63983—31no—
78#63983D311yescharacteristic, complemented
79#63979D311yescharacteristic, complemented
80#63977—31no—
81#63976—31no—
82#63976—31no—
83#63976—31no—
84#63976—61no—
85#67⋊Dic3—31no—
86#63970—31no—
87#63970—31no—
88#63970—31no—
89#63970—31no—
90#63970—31no—
91#63970—61no—
92#63970—61no—
93#63958—31no—
94#63958—31no—
95#63922—31no—
96#63922—31no—
97#63922—31no—
98#63908—31no—
99#63906—31no—
100C4×#626—31no—
101Dic3×D12—31no—
102#63885—31no—
103#63880—31no—
104#63880—31no—
105#63879—31no—
106C23×C33C2311yescharacteristic
107C22×C3×C3⋊D3—22no—
108C22×C3×C3⋊D3—22no—
109C22×C3×C3⋊D3—41no—
110C22×C3×C3⋊D3C2311yescharacteristic
111C22×C3×C3⋊D3C2311yescharacteristic
112C22×C3×C3⋊D3C2311yescharacteristic
113C22×C3×C3⋊D3C2311yescharacteristic
114C22×C32×D3C2311yescharacteristic
115C22×C32×D3C2311yescharacteristic
116C22×C32×D3C2311yescharacteristic
117C2×#1113—22no—
118C2×#1113—22no—
119C2×#1113—41no—
120C2×C3×D32—22no—
121C2×C3×D32—22no—
122C2×C3×D32—22no—
123C2×C3×D32—22no—
124C2×C3×D32—41no—
125C2×C3×D32—41no—
126C2×C3⋊(C3⋊Dic3)C2311yescharacteristic
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—
134C32×#67—41no—
135C2×C32×Dic3C2311yescharacteristic
136C2×C32×Dic3C2311yescharacteristic
137C2×C32×Dic3C2311yescharacteristic
138#6295—22no—
139#6295D414yescomplemented
140#6294—22no—
141#6290—22no—
142#6290—22no—
143#6290—22no—
144#6290—22no—
145Dic3×C3⋊D3—22no—
146D3×C3⋊Dic3—22no—
147C3×#626—22no—
148C3×#626—22no—
149C3×#626—41no—
150C3×#626D414yescomplemented
151C3×#625—22no—
152C3×#624—22no—
153D4×#67—91no—
154#5717—91no—
155#5590—91no—
156C23×C3⋊D3C2×D311yescharacteristic, complemented
157C23×C3×D3—31no—
158C23×C3×D3—31no—
159C23×C3×D3—31no—
160C23×C3×D3—31no—
161C23×C3×D3—31no—
162C23×C3×D3—31no—
163C23×C3×D3—61no—
164C22×D32—31no—
165C22×D32—31no—
166C22×D32—31no—
167C22×D32C2×D311yescharacteristic, complemented
168C22×D32C2×D311yescharacteristic, complemented
169C2×C32×D4—31no—
170C2×C32×D4—31no—
171C2×C32×D4—31no—
172C2×#638—31no—
173C2×#638—31no—
174C2×#638—31no—
175C2×#638—31no—
176C2×#638C2×D311yescharacteristic, complemented
177C2×#638C2×D311yescharacteristic, complemented
178C22×C3⋊Dic3—31no—
179C2×C4×C3⋊D3—31no—
180C2×C3×#67—21no—
181C2×C3×#67—21no—
182C2×C3×#67—21no—
183C2×C3×#67—31no—
184C2×C3×#67—31no—
185C2×C3×#67—31no—
186C2×C3×#67—31no—
187C2×C3×#67—31no—
188C2×C3×#67—31no—
189C2×C3×#67—31no—
190C2×C3×#67—31no—
191C2×C3×#67—31no—
192C2×C3×#67—31no—
193C2×C3×#67—61no—
194C2×C3×#67—61no—
195C2×C3×#67C2×D311yescharacteristic, complemented
196C2×C3×#67C2×D311yescharacteristic, complemented
197C2×C3×#67C2×D311yescharacteristic, complemented
198C2×C3×#67C2×D311yescharacteristic, complemented
199C2×C3×#67C2×D311yescharacteristic, complemented
200C2×C3×#67C2×D311yescharacteristic, complemented
201C3×D3×D4—64no—
202C3×D3×D4—64no—
203C2×C3×D12—31no—
204C2×C3×D12—31no—
205C2×C3×D12—31no—
206C2×C3×D12—31no—
207C2×C3×C4×D3—31no—
208C2×C3×C4×D3—31no—
209#3811—24no—
210#3811—64no—
211D3×#67—64no—
212D3×#67—64no—
213D3×#67—64no—
214D3×#67—64no—
215D3×#67—64no—
216D3×#67—64no—
217C2×#626—31no—
218C2×#626—31no—
219C2×#626—31no—
220C2×#626—31no—
221C2×#626C2×D311yescharacteristic
222C2×#626C2×D311yescharacteristic, complemented
223C2×#626C2×D311yescharacteristic, complemented
224C2×#626C2×D311yescharacteristic, complemented
225C2×#625—31no—
226C2×#625—31no—
227C2×#625—31no—
228C2×#625—31no—
229C2×#625—31no—
230C2×#625—31no—
231C2×#625—31no—
232C2×#625—31no—
233C2×#625—31no—
234C2×#625—31no—
235C2×#625—64no—
236C2×#625—61no—
237C2×#625—61no—
238C2×#625—61no—
239C2×#625—61no—
240C2×#625C2×D311yescharacteristic, complemented
241C2×#624—31no—
242C2×#624C2×D311yescharacteristic, complemented
243C2×D3×Dic3—31no—
244C2×D3×Dic3—31no—
245C2×D3×Dic3—31no—
246C2×D3×Dic3—31no—
247C2×D3×Dic3—31no—
248C2×D3×Dic3—31no—
249C2×D3×Dic3—61no—
250C2×D3×Dic3—61no—
251#3802—64no—
252#3757—31no—
253#3757—31no—
254#3757—31no—
255#3757—31no—
256#3757—61no—
257#3757—61no—
258#3757—61no—
259#3757—121no—
260#3752—31no—
261#3752—31no—
262#3752—31no—
263C4⋊(C3⋊Dic3)—31no—
264#3750—31no—
265C3×#217—31no—
266C3×#217—31no—
267C3×(C2×D3)⋊C4—31no—
268C3×(C2×D3)⋊C4—31no—
269C3×(C2×D3)⋊C4—31no—
270C3×(C2×D3)⋊C4—31no—
271C3×C4×Dic3—31no—
272C3×C4×Dic3—31no—
273Dic3⋊Dic3—31no—
274Dic3⋊Dic3—31no—
275Dic3⋊Dic3—31no—
276Dic3⋊Dic3—31no—
277Dic3⋊Dic3—61no—
278Dic3⋊Dic3—61no—
279#3722C2×D311yescharacteristic, complemented
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—31no—
288(C2×D3)⋊Dic3—61no—
289(C2×D3)⋊Dic3—61no—
290(C2×D3)⋊Dic3—61no—
291(C2×D3)⋊Dic3—61no—
292(C2×D3)⋊Dic3C2×D311yescharacteristic, complemented
293(C2×D3)⋊Dic3C2×D311yescharacteristic, complemented
294Dic32C2×D311yescharacteristic, complemented
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—44no—
309C2×C3×C3⋊D3C2×D412yescomplemented
310C2×C3×C3⋊D3C2×D412yescomplemented
311C2×C3×C3⋊D3C2×D412yescomplemented
312C2×C32×D3—21no—
313C2×C32×D3—21no—
314C2×C32×D3—21no—
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—
322C3×D32—44no—
323C3×D32—44no—
324C3⋊(C3⋊Dic3)—21no—
325C3⋊(C3⋊Dic3)—21no—
326C3×C3⋊Dic3—21no—
327C3×C3⋊Dic3C2×D412yescomplemented
328C32×Dic3—21no—
329C32×Dic3—21no—
330C32×Dic3C2×D412yescomplemented
331C22×C3×D4—91no—
332C22×#67—91no—
333C22×#67—91no—
334C22×#67—91no—
335C22×#67—91no—
336C2×D3×D4—31no—
337C2×D3×D4—31no—
338C2×D3×D4—91no—
339C2×D3×D4—91no—
340C2×D3×D4—91no—
341C2×D3×D4—91no—
342C2×D3×D4—91no—
343C3×#127—91no—
344C3×#120—91no—
345#953—91no—
346#953—91no—
347#940—31no—
348#940—31no—
349#939—91no—
350#939—91no—
351#939—91no—
352#939—91no—
353#939—181no—
354#938—91no—
355#938—91no—
356#938—91no—
357#938—91no—
358#938—91no—
359#938—181no—
360#937—31no—
361#937—31no—
362#937—91no—
363#937—91no—
364#937—91no—
365#937—91no—
366#937—91no—
367#937—181no—
368D4×Dic3—91no—
369#930—91no—
370C4×#67—91no—
371#884—91no—
372#884—91no—
373#882—91no—
374#882—91no—
375#67⋊C4—91no—
376#67⋊C4—91no—
377C4×D12—91no—
378C4×D12—91no—
379C23×C32—21no—
380C23×C32—21no—
381C23×C32—21no—
382C23×C32—31no—
383C23×C32—31no—
384C23×C32—31no—
385C23×C32—41no—
386C23×C32C22×D311yescharacteristic
387C23×C32C22×D311yescharacteristic
388C23×C32C22×D311yescharacteristic
389C22×C3⋊D3—22no—
390C22×C3⋊D3—22no—
391C22×C3⋊D3—41no—
392C22×C3⋊D3C22×D311yescharacteristic
393C22×C3⋊D3C22×D311yescharacteristic
394C22×C3⋊D3C22×D311yescharacteristic
395C22×C3⋊D3C22×D311yescharacteristic
396C22×C3×D3—21no—
397C22×C3×D3—21no—
398C22×C3×D3—21no—
399C22×C3×D3—31no—
400C22×C3×D3—31no—
401C22×C3×D3—31no—
402C22×C3×D3—31no—
403C22×C3×D3—31no—
404C22×C3×D3—31no—
405C22×C3×D3—31no—
406C22×C3×D3—31no—
407C22×C3×D3—61no—
408C22×C3×D3—61no—
409C22×C3×D3—61no—
410C22×C3×D3—61no—
411C22×C3×D3—62no—
412C22×C3×D3—62no—
413C22×C3×D3—62no—
414C22×C3×D3—62no—
415C22×C3×D3—62no—
416C22×C3×D3—62no—
417C22×C3×D3—62no—
418C22×C3×D3—62no—
419C22×C3×D3—62no—
420C22×C3×D3—62no—
421C22×C3×D3—62no—
422C22×C3×D3—62no—
423C22×C3×D3—122no—
424C22×C3×D3—122no—
425C22×C3×D3—121no—
426C22×C3×D3—121no—
427C22×C3×D3—121no—
428C22×C3×D3—121no—
429C22×C3×D3—121no—
430C22×C3×D3—121no—
431C22×C3×D3—122no—
432C22×C3×D3C22×D311yescharacteristic
433C22×C3×D3C22×D311yescharacteristic
434C22×C3×D3C22×D311yescharacteristic
435C22×C3×D3C22×D311yescharacteristic
436C22×C3×D3C22×D311yescharacteristic
437C22×C3×D3C22×D311yescharacteristic
438C2×D32—22no—
439C2×D32—22no—
440C2×D32—22no—
441C2×D32—22no—
442C2×D32—41no—
443C2×D32—41no—
444C2×D32—62no—
445C2×D32—62no—
446C2×D32—62no—
447C2×D32—62no—
448C2×D32—62no—
449C2×D32—62no—
450C2×D32—121no—
451C2×D32—121no—
452C2×D32—121no—
453C32×D4—62no—
454C32×D4—62no—
455C32×D4—121no—
456C2×C32×C4—31no—
457C2×C32×C4—31no—
458C2×C32×C4—31no—
459#638—22no—
460#638—22no—
461#638—62no—
462#638—62no—
463#638—62no—
464#638—62no—
465C2×C3⋊Dic3—31no—
466C2×C3⋊Dic3—31no—
467C2×C3⋊Dic3—31no—
468C2×C3⋊Dic3—31no—
469C2×C3⋊Dic3—31no—
470C2×C3⋊Dic3—31no—
471C2×C3⋊Dic3—61no—
472C2×C3⋊Dic3—61no—
473C2×C3⋊Dic3—61no—
474C2×C3⋊Dic3—61no—
475C2×C3⋊Dic3—61no—
476C2×C3⋊Dic3—61no—
477C2×C3⋊Dic3—62no—
478C2×C3⋊Dic3—121no—
479C2×C3⋊Dic3—121no—
480C2×C3⋊Dic3C22×D311yescharacteristic
481C2×C3⋊Dic3C22×D311yescharacteristic
482C4×C3⋊D3—62no—
483C3×#67—22no—
484C3×#67—22no—
485C3×#67—22no—
486C3×#67—22no—
487C3×#67—34no—
488C3×#67—42no—
489C3×#67—42no—
490C3×#67—41no—
491C3×#67—41no—
492C3×#67—42no—
493C3×#67—62no—
494C3×#67—62no—
495C3×#67—62no—
496C3×#67—62no—
497C3×#67—62no—
498C3×#67—62no—
499C3×#67—62no—
500C3×#67—62no—
501C3×#67—122no—
502C3×#67—122no—
503C3×#67—121no—
504C2×C3×Dic3—21no—
505C2×C3×Dic3—21no—
506C2×C3×Dic3—21no—
507C2×C3×Dic3—31no—
508C2×C3×Dic3—31no—
509C2×C3×Dic3—31no—
510C2×C3×Dic3—31no—
511C2×C3×Dic3—61no—
512C2×C3×Dic3—61no—
513C2×C3×Dic3C22×D311yescharacteristic
514C2×C3×Dic3C22×D311yescharacteristic
515C2×C3×Dic3C22×D311yescharacteristic
516C2×C3×Dic3C22×D311yescharacteristic
517C2×C3×Dic3C22×D311yescharacteristic
518C2×C3×Dic3C22×D311yescharacteristic
519C3×D12—34no—
520C3×D12—62no—
521C3×D12—62no—
522C3×D12—121no—
523C3×C4×D3—62no—
524C3×C4×D3—62no—
525#626—22no—
526#626—22no—
527#626—34no—
528#626—34no—
529#626—41no—
530#626—62no—
531#626—62no—
532#626#6714yescomplemented
533#625—22no—
534#625—34no—
535#625—62no—
536#625—62no—
537#625—62no—
538#625—62no—
539#625—62no—
540#625—62no—
541#625—62no—
542#625—62no—
543#625—62no—
544#625—122no—
545#625—122no—
546#625—122no—
547#625—122no—
548#624—22no—
549#624—62no—
550D3×Dic3—62no—
551D3×Dic3—62no—
552D3×Dic3—62no—
553D3×Dic3—62no—
554D3×Dic3—62no—
555D3×Dic3—62no—
556D3×Dic3—122no—
557D3×Dic3—122no—
558D42—271noSylow
559C2×C33—41no—
560C2×C33C22×D411yescharacteristic
561C2×C33C22×D411yescharacteristic
562C2×C33H(5,𝔽2)11yescharacteristic
563C3×C3⋊D3—22no—
564C3×C3⋊D3—22no—
565C3×C3⋊D3—22no—
566C3×C3⋊D3—41no—
567C32×D3—22no—
568C32×D3—41no—
569C32×D3—41no—
570C24×C3—91no—
571C24×C3—91no—
572C24×C3—91no—
573C23×D3—31no—
574C23×D3—31no—
575C23×D3—31no—
576C23×D3—31no—
577C23×D3—31no—
578C23×D3—31no—
579C23×D3—61no—
580C23×D3—91no—
581C23×D3—91no—
582C23×D3—91no—
583C2×C3×D4—31no—
584C2×C3×D4—31no—
585C2×C3×D4—31no—
586C2×C3×D4—31no—
587C2×C3×D4—31no—
588C2×C3×D4—31no—
589C2×C3×D4—61no—
590C2×C3×D4—61no—
591C2×C3×D4—61no—
592C2×C3×D4—91no—
593C2×C3×D4—91no—
594C2×C3×D4—91no—
595C2×C3×D4—91no—
596C2×C3×D4—91no—
597C2×C3×D4—91no—
598C2×C3×D4—91no—
599C2×C3×D4—184no—
600C22×C3×C4—91no—
601C2×#67—31no—
602C2×#67—31no—
603C2×#67—31no—
604C2×#67—31no—
605C2×#67—31no—
606C2×#67—31no—
607C2×#67—31no—
608C2×#67—31no—
609C2×#67—31no—
610C2×#67—31no—
611C2×#67—61no—
612C2×#67—61no—
613C2×#67—91no—
614C2×#67—91no—
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—181no—
630C2×#67—181no—
631C2×#67—181no—
632C2×#67—181no—
633C2×#67—184no—
634C2×#67—184no—
635C2×#67—184no—
636C2×#67—184no—
637C2×#67D3211yescharacteristic, complemented
638C2×#67D3211yescharacteristic, complemented
639C2×#67D3211yescharacteristic, complemented
640C22×Dic3—91no—
641C22×Dic3—91no—
642C22×Dic3—91no—
643C22×Dic3—91no—
644C22×Dic3—181no—
645D3×D4—64no—
646D3×D4—64no—
647D3×D4—184no—
648D3×D4—184no—
649D3×D4—184no—
650D3×D4—184no—
651D3×D4—184no—
652C2×D12—31no—
653C2×D12—31no—
654C2×D12—31no—
655C2×D12—31no—
656C2×D12—91no—
657C2×D12—91no—
658C2×C4×D3—31no—
659C2×C4×D3—31no—
660C2×C4×D3—91no—
661C2×C4×D3—91no—
662C2×C4×D3—91no—
663C2×C4×D3—91no—
664C2×C4×D3—91no—
665C2×C4×D3—181no—
666C3×C22⋊C4—91no—
667C3×C22⋊C4—91no—
668C3×C22⋊C4—91no—
669C3×C42—91no—
670#217—31no—
671#217—31no—
672#217—91no—
673#217—91no—
674#217—91no—
675#217—91no—
676#217—91no—
677#217—91no—
678#217—91no—
679#217—91no—
680#217—181no—
681#217—181no—
682#217—181no—
683#217—181no—
684#217—361no—
685(C2×D3)⋊C4—31no—
686(C2×D3)⋊C4—31no—
687(C2×D3)⋊C4—31no—
688(C2×D3)⋊C4—31no—
689(C2×D3)⋊C4—91no—
690(C2×D3)⋊C4—91no—
691(C2×D3)⋊C4—91no—
692(C2×D3)⋊C4—91no—
693(C2×D3)⋊C4—91no—
694(C2×D3)⋊C4—91no—
695(C2×D3)⋊C4—91no—
696(C2×D3)⋊C4—181no—
697(C2×D3)⋊C4—181no—
698(C2×D3)⋊C4—181no—
699C4⋊Dic3—91no—
700C4⋊Dic3—91no—
701C4⋊Dic3—91no—
702C4⋊Dic3—181no—
703Dic3⋊C4—91no—
704Dic3⋊C4—91no—
705Dic3⋊C4—91no—
706Dic3⋊C4—181no—
707C4×Dic3—31no—
708C4×Dic3—31no—
709C22×C32—21no—
710C22×C32—22no—
711C22×C32—21no—
712C22×C32—21no—
713C22×C32—21no—
714C22×C32—21no—
715C22×C32—21no—
716C22×C32—21no—
717C22×C32—21no—
718C22×C32—21no—
719C22×C32—21no—
720C22×C32—21no—
721C22×C32—21no—
722C22×C32—32no—
723C22×C32—41no—
724C22×C32—41no—
725C22×C32—41no—
726C22×C32—42no—
727C22×C32—41no—
728C22×C32—41no—
729C22×C32—41no—
730C22×C32—41no—
731C22×C32—41no—
732C22×C32—41no—
733C22×C32—61no—
734C22×C32—61no—
735C22×C32—61no—
736C22×C32—61no—
737C22×C32—61no—
738C22×C32—61no—
739C22×C32—61no—
740C22×C32—61no—
741C22×C32—81no—
742C22×C32—81no—
743C22×C32C23×D311yescharacteristic
744C22×C32C23×D311yescharacteristic
745C22×C32C23×D311yescharacteristic
746C2×C3⋊D3—21no—
747C2×C3⋊D3—21no—
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—44no—
756C2×C3⋊D3D3×D412yescomplemented
757C2×C3⋊D3D3×D412yescomplemented
758C2×C3⋊D3C2×#6712yescomplemented
759C2×C3×D3—21no—
760C2×C3×D3—21no—
761C2×C3×D3—21no—
762C2×C3×D3—21no—
763C2×C3×D3—21no—
764C2×C3×D3—21no—
765C2×C3×D3—21no—
766C2×C3×D3—21no—
767C2×C3×D3—21no—
768C2×C3×D3—21no—
769C2×C3×D3—21no—
770C2×C3×D3—21no—
771C2×C3×D3—21no—
772C2×C3×D3—21no—
773C2×C3×D3—21no—
774C2×C3×D3—21no—
775C2×C3×D3—22no—
776C2×C3×D3—32no—
777C2×C3×D3—32no—
778C2×C3×D3—32no—
779C2×C3×D3—32no—
780C2×C3×D3—32no—
781C2×C3×D3—32no—
782C2×C3×D3—41no—
783C2×C3×D3—41no—
784C2×C3×D3—41no—
785C2×C3×D3—41no—
786C2×C3×D3—41no—
787C2×C3×D3—41no—
788C2×C3×D3—41no—
789C2×C3×D3—41no—
790C2×C3×D3—62no—
791C2×C3×D3—62no—
792C2×C3×D3—62no—
793C2×C3×D3—61no—
794C2×C3×D3—61no—
795C2×C3×D3—61no—
796C2×C3×D3—61no—
797C2×C3×D3—61no—
798C2×C3×D3—61no—
799C2×C3×D3—61no—
800C2×C3×D3—61no—
801C2×C3×D3—61no—
802C2×C3×D3—61no—
803C2×C3×D3—61no—
804C2×C3×D3—61no—
805C2×C3×D3—61no—
806C2×C3×D3—61no—
807C2×C3×D3—61no—
808C2×C3×D3—61no—
809C2×C3×D3—61no—
810C2×C3×D3—61no—
811C2×C3×D3—121no—
812C2×C3×D3—121no—
813C2×C3×D3—121no—
814C2×C3×D3—121no—
815C2×C3×D3—121no—
816C2×C3×D3—121no—
817C2×C3×D3—121no—
818C2×C3×D3—121no—
819C2×C3×D3—121no—
820C2×C3×D3—124no—
821C2×C3×D3—124no—
822C2×C3×D3—124no—
823C2×C3×D3—124no—
824C2×C3×D3—124no—
825C2×C3×D3—124no—
826C2×C3×D3—128no—
827C2×C3×D3D3×D412yescomplemented
828C2×C3×D3C2×#6712yescomplemented
829D32—44no—
830D32—44no—
831D32—124no—
832D32—124no—
833D32—124no—
834C32×C4—32no—
835C32×C4—61no—
836C32×C4—61no—
837C3⋊Dic3—21no—
838C3⋊Dic3—61no—
839C3⋊Dic3—61no—
840C3⋊Dic3—61no—
841C3⋊Dic3—61no—
842C3⋊Dic3—61no—
843C3⋊Dic3—61no—
844C3⋊Dic3—121no—
845C3⋊Dic3—121no—
846C3⋊Dic3—121no—
847C3⋊Dic3—121no—
848C3⋊Dic3—121no—
849C3⋊Dic3—121no—
850C3⋊Dic3—241no—
851C3⋊Dic3—241no—
852C3⋊Dic3D3×D412yescomplemented
853C3×Dic3—21no—
854C3×Dic3—21no—
855C3×Dic3—21no—
856C3×Dic3—21no—
857C3×Dic3—22no—
858C3×Dic3—32no—
859C3×Dic3—32no—
860C3×Dic3—41no—
861C3×Dic3—41no—
862C3×Dic3—62no—
863C3×Dic3—61no—
864C3×Dic3—61no—
865C3×Dic3—121no—
866C3×Dic3D3×D412yescomplemented
867C3×Dic3C2×#6712yescomplemented
868C22×D4—91no—
869C22×D4—271no—
870C22×D4—271no—
871C22×D4—271no—
872#127—91no—
873#121—271no—
874#121—271no—
875#121—271no—
876#121—271no—
877#120—91no—
878#120—271no—
879#120—271no—
880#120—271no—
881C4×D4—271no—
882C4×D4—271no—
883C33D4211yescharacteristic, complemented, Sylow
884C23×C3—21no—
885C23×C3—21no—
886C23×C3—21no—
887C23×C3—31no—
888C23×C3—31no—
889C23×C3—31no—
890C23×C3—31no—
891C23×C3—31no—
892C23×C3—31no—
893C23×C3—41no—
894C23×C3—61no—
895C23×C3—61no—
896C23×C3—61no—
897C23×C3—91no—
898C23×C3—91no—
899C23×C3—91no—
900C23×C3—91no—
901C23×C3—182no—
902C23×C3—182no—
903C23×C3—182no—
904C23×C3—182no—
905C23×C3—182no—
906C23×C3—182no—
907C23×C3—361no—
908C23×C3—361no—
909C23×C3—361no—
910C23×C3C2×D3211yescharacteristic
911C23×C3C2×D3211yescharacteristic
912C23×C3C2×D3211yescharacteristic
913C22×D3—31no—
914C22×D3—31no—
915C22×D3—31no—
916C22×D3—31no—
917C22×D3—31no—
918C22×D3—31no—
919C22×D3—31no—
920C22×D3—31no—
921C22×D3—61no—
922C22×D3—61no—
923C22×D3—61no—
924C22×D3—61no—
925C22×D3—62no—
926C22×D3—62no—
927C22×D3—62no—
928C22×D3—62no—
929C22×D3—62no—
930C22×D3—62no—
931C22×D3—62no—
932C22×D3—62no—
933C22×D3—62no—
934C22×D3—62no—
935C22×D3—62no—
936C22×D3—62no—
937C22×D3—122no—
938C22×D3—122no—
939C22×D3—121no—
940C22×D3—121no—
941C22×D3—121no—
942C22×D3—121no—
943C22×D3—121no—
944C22×D3—121no—
945C22×D3—122no—
946C22×D3—182no—
947C22×D3—182no—
948C22×D3—182no—
949C22×D3—182no—
950C22×D3—182no—
951C22×D3—182no—
952C22×D3—361no—
953C22×D3—361no—
954C22×D3—361no—
955C22×D3C2×D3211yescharacteristic
956C22×D3C2×D3211yescharacteristic
957C22×D3C2×D3211yescharacteristic
958C3×D4—62no—
959C3×D4—62no—
960C3×D4—62no—
961C3×D4—62no—
962C3×D4—94no—
963C3×D4—122no—
964C3×D4—122no—
965C3×D4—121no—
966C3×D4—121no—
967C3×D4—122no—
968C3×D4—182no—
969C3×D4—182no—
970C3×D4—182no—
971C3×D4—182no—
972C3×D4—182no—
973C3×D4—361no—
974C2×C3×C4—31no—
975C2×C3×C4—31no—
976C2×C3×C4—31no—
977C2×C3×C4—31no—
978C2×C3×C4—31no—
979C2×C3×C4—31no—
980C2×C3×C4—61no—
981C2×C3×C4—61no—
982C2×C3×C4—61no—
983C2×C3×C4—91no—
984C2×C3×C4—91no—
985C2×C3×C4—182no—
986#67—22no—
987#67—22no—
988#67—34no—
989#67—41no—
990#67—62no—
991#67—62no—
992#67—62no—
993#67—62no—
994#67—62no—
995#67—62no—
996#67—62no—
997#67—62no—
998#67—94no—
999#67—94no—
1000#67—122no—
1001#67—122no—
1002#67—121no—
1003#67—182no—
1004#67—182no—
1005#67—182no—
1006#67—182no—
1007#67—182no—
1008#67—182no—
1009#67—182no—
1010#67—182no—
1011#67—182no—
1012#67—182no—
1013#67—182no—
1014#67—182no—
1015#67—182no—
1016#67—182no—
1017#67—362no—
1018#67—362no—
1019#67—362no—
1020#67—362no—
1021C2×Dic3—31no—
1022C2×Dic3—31no—
1023C2×Dic3—31no—
1024C2×Dic3—31no—
1025C2×Dic3—61no—
1026C2×Dic3—61no—
1027C2×Dic3—91no—
1028C2×Dic3—91no—
1029C2×Dic3—91no—
1030C2×Dic3—91no—
1031C2×Dic3—91no—
1032C2×Dic3—91no—
1033C2×Dic3—181no—
1034C2×Dic3—181no—
1035C2×Dic3—181no—
1036C2×Dic3—181no—
1037C2×Dic3—181no—
1038C2×Dic3—181no—
1039C2×Dic3—182no—
1040C2×Dic3—182no—
1041C2×Dic3—182no—
1042C2×Dic3—182no—
1043C2×Dic3—361no—
1044C2×Dic3—361no—
1045C2×Dic3—362no—
1046C2×Dic3C2×D3211yescharacteristic
1047C2×Dic3C2×D3211yescharacteristic
1048C2×Dic3C2×D3211yescharacteristic
1049D12—34no—
1050D12—62no—
1051D12—62no—
1052D12—94no—
1053D12—121no—
1054D12—182no—
1055C4×D3—62no—
1056C4×D3—62no—
1057C4×D3—182no—
1058C4×D3—182no—
1059C4×D3—182no—
1060C4×D3—182no—
1061C4×D3—182no—
1062C4×D3—362no—
1063C2×C32—21no—
1064C2×C32—21no—
1065C2×C32—21no—
1066C2×C32—21no—
1067C2×C32—21no—
1068C2×C32—21no—
1069C2×C32—21no—
1070C2×C32—21no—
1071C2×C32—21no—
1072C2×C32—41no—
1073C2×C32—41no—
1074C2×C32—41no—
1075C2×C32—41no—
1076C2×C32—42no—
1077C2×C32—41no—
1078C2×C32—41no—
1079C2×C32—62no—
1080C2×C32—81no—
1081C2×C32—81no—
1082C2×C32—82no—
1083C2×C32—121no—
1084C2×C32—121no—
1085C2×C32C2×D3×D411yescharacteristic
1086C2×C32C2×D3×D411yescharacteristic
1087C2×C32C2×D3×D411yescharacteristic
1088C2×C32C2×D3×D411yescharacteristic
1089C2×C32C2×D3×D411yescharacteristic
1090C2×C32#100411yescharacteristic
1091C2×C32#100411yescharacteristic
1092C2×C32#100411yescharacteristic
1093C2×C32C22×#6711yescharacteristic
1094C3⋊D3—22no—
1095C3⋊D3—22no—
1096C3⋊D3—22no—
1097C3⋊D3—41no—
1098C3×D3—22no—
1099C3×D3—22no—
1100C3×D3—42no—
1101C3×D3—41no—
1102C3×D3—41no—
1103C3×D3—41no—
1104C3×D3—41no—
1105C3×D3—62no—
1106C3×D3—62no—
1107C3×D3—62no—
1108C3×D3—62no—
1109C3×D3—62no—
1110C3×D3—62no—
1111C3×D3—81no—
1112C3×D3—81no—
1113C3×D3—122no—
1114C3×D3—122no—
1115C3×D3—122no—
1116C3×D3—121no—
1117C3×D3—121no—
1118C3×D3—241no—
1119C24—91no—
1120C24—91no—
1121C24—91no—
1122C24—271no—
1123C2×D4—31no—
1124C2×D4—31no—
1125C2×D4—31no—
1126C2×D4—91no—
1127C2×D4—91no—
1128C2×D4—91no—
1129C2×D4—91no—
1130C2×D4—91no—
1131C2×D4—91no—
1132C2×D4—91no—
1133C2×D4—184no—
1134C2×D4—271no—
1135C2×D4—271no—
1136C2×D4—271no—
1137C2×D4—271no—
1138C2×D4—271no—
1139C2×D4—271no—
1140C2×D4—544no—
1141C2×D4—544no—
1142C2×D4—544no—
1143C22×C4—91no—
1144C22×C4—271no—
1145C22×C4—271no—
1146C22×C4—271no—
1147C4⋊C4—271no—
1148C4⋊C4—271no—
1149C22⋊C4—91no—
1150C22⋊C4—91no—
1151C22⋊C4—91no—
1152C22⋊C4—271no—
1153C22⋊C4—271no—
1154C22⋊C4—271no—
1155C22⋊C4—271no—
1156C22⋊C4—271no—
1157C42—91no—
1158C22×C3—22no—
1159C22×C3—21no—
1160C22×C3—21no—
1161C22×C3—21no—
1162C22×C3—21no—
1163C22×C3—21no—
1164C22×C3—21no—
1165C22×C3—21no—
1166C22×C3—21no—
1167C22×C3—21no—
1168C22×C3—21no—
1169C22×C3—21no—
1170C22×C3—21no—
1171C22×C3—32no—
1172C22×C3—32no—
1173C22×C3—41no—
1174C22×C3—41no—
1175C22×C3—41no—
1176C22×C3—41no—
1177C22×C3—41no—
1178C22×C3—41no—
1179C22×C3—41no—
1180C22×C3—41no—
1181C22×C3—42no—
1182C22×C3—41no—
1183C22×C3—62no—
1184C22×C3—61no—
1185C22×C3—61no—
1186C22×C3—61no—
1187C22×C3—61no—
1188C22×C3—61no—
1189C22×C3—61no—
1190C22×C3—61no—
1191C22×C3—61no—
1192C22×C3—61no—
1193C22×C3—61no—
1194C22×C3—61no—
1195C22×C3—61no—
1196C22×C3—61no—
1197C22×C3—61no—
1198C22×C3—61no—
1199C22×C3—61no—
1200C22×C3—81no—
1201C22×C3—81no—
1202C22×C3—92no—
1203C22×C3—92no—
1204C22×C3—92no—
1205C22×C3—121no—
1206C22×C3—121no—
1207C22×C3—121no—
1208C22×C3—121no—
1209C22×C3—121no—
1210C22×C3—121no—
1211C22×C3—121no—
1212C22×C3—121no—
1213C22×C3—181no—
1214C22×C3—181no—
1215C22×C3—181no—
1216C22×C3—181no—
1217C22×C3—181no—
1218C22×C3—181no—
1219C22×C3—181no—
1220C22×C3—181no—
1221C22×C3—181no—
1222C22×C3—364no—
1223C22×C3—364no—
1224C22×C3—364no—
1225C22×C3C22×D3211yescharacteristic
1226C22×C3C22×D3211yescharacteristic
1227C22×C3C22×D3211yescharacteristic
1228C2×D3—21no—
1229C2×D3—21no—
1230C2×D3—21no—
1231C2×D3—21no—
1232C2×D3—21no—
1233C2×D3—21no—
1234C2×D3—21no—
1235C2×D3—21no—
1236C2×D3—32no—
1237C2×D3—32no—
1238C2×D3—32no—
1239C2×D3—32no—
1240C2×D3—32no—
1241C2×D3—32no—
1242C2×D3—62no—
1243C2×D3—62no—
1244C2×D3—62no—
1245C2×D3—61no—
1246C2×D3—61no—
1247C2×D3—61no—
1248C2×D3—61no—
1249C2×D3—61no—
1250C2×D3—61no—
1251C2×D3—61no—
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—121no—
1264C2×D3—121no—
1265C2×D3—121no—
1266C2×D3—121no—
1267C2×D3—121no—
1268C2×D3—121no—
1269C2×D3—121no—
1270C2×D3—121no—
1271C2×D3—121no—
1272C2×D3—124no—
1273C2×D3—124no—
1274C2×D3—124no—
1275C2×D3—124no—
1276C2×D3—124no—
1277C2×D3—124no—
1278C2×D3—128no—
1279C2×D3—364no—
1280C2×D3—364no—
1281C2×D3—364no—
1282C2×D3D3×#6712yescomplemented
1283C3×C4—32no—
1284C3×C4—32no—
1285C3×C4—62no—
1286C3×C4—61no—
1287C3×C4—61no—
1288C3×C4—61no—
1289C3×C4—61no—
1290C3×C4—92no—
1291C3×C4—121no—
1292C3×C4—121no—
1293C3×C4—181no—
1294Dic3—21no—
1295Dic3—21no—
1296Dic3—32no—
1297Dic3—32no—
1298Dic3—62no—
1299Dic3—61no—
1300Dic3—61no—
1301Dic3—121no—
1302Dic3—181no—
1303Dic3—181no—
1304Dic3—181no—
1305Dic3—181no—
1306Dic3—181no—
1307Dic3—181no—
1308Dic3—361no—
1309Dic3—361no—
1310Dic3—361no—
1311Dic3—361no—
1312Dic3—361no—
1313Dic3—361no—
1314Dic3—721no—
1315Dic3—721no—
1316Dic3D3×#6712yescomplemented
1317C32—21no—
1318C32—21no—
1319C32—21no—
1320C32—41no—
1321C32#559011yescharacteristic, complemented
1322C32#571711yescharacteristic, complemented
1323C32D4×#6711yescharacteristic, complemented
1324C23—31no—
1325C23—31no—
1326C23—31no—
1327C23—91no—
1328C23—91no—
1329C23—91no—
1330C23—91no—
1331C23—182no—
1332C23—182no—
1333C23—182no—
1334C23—182no—
1335C23—182no—
1336C23—182no—
1337C23—361no—
1338C23—361no—
1339C23—361no—
1340C23—542no—
1341C23—542no—
1342C23—1081no—
1343C23D3311yescharacteristic
1344D4—62no—
1345D4—62no—
1346D4—94no—
1347D4—121no—
1348D4—182no—
1349D4—182no—
1350D4—182no—
1351D4—182no—
1352D4—182no—
1353D4—274no—
1354D4—361no—
1355D4—542no—
1356D4—542no—
1357D4—542no—
1358D4—542no—
1359D4—542no—
1360C2×C4—31no—
1361C2×C4—31no—
1362C2×C4—31no—
1363C2×C4—91no—
1364C2×C4—91no—
1365C2×C4—182no—
1366C2×C4—271no—
1367C2×C4—271no—
1368C2×C4—542no—
1369C2×C4—542no—
1370C2×C4—542no—
1371C2×C3—21no—
1372C2×C3—21no—
1373C2×C3—21no—
1374C2×C3—21no—
1375C2×C3—21no—
1376C2×C3—21no—
1377C2×C3—21no—
1378C2×C3—21no—
1379C2×C3—21no—
1380C2×C3—42no—
1381C2×C3—41no—
1382C2×C3—41no—
1383C2×C3—41no—
1384C2×C3—41no—
1385C2×C3—41no—
1386C2×C3—41no—
1387C2×C3—62no—
1388C2×C3—62no—
1389C2×C3—81no—
1390C2×C3—81no—
1391C2×C3—82no—
1392C2×C3—122no—
1393C2×C3—121no—
1394C2×C3—121no—
1395C2×C3—121no—
1396C2×C3—121no—
1397C2×C3—182no—
1398C2×C3—182no—
1399C2×C3—182no—
1400C2×C3—241no—
1401C2×C3—241no—
1402C2×C3—361no—
1403C2×C3D32×D411yescharacteristic
1404C2×C3D32×D411yescharacteristic
1405C2×C3D32×D411yescharacteristic
1406C2×C3D32×D411yescharacteristic
1407C2×C3#6431311yescharacteristic
1408C2×C3#6431311yescharacteristic
1409C2×C3C2×D3×#6711yescharacteristic
1410C2×C3C2×D3×#6711yescharacteristic
1411C2×C3#6433011yescharacteristic
1412D3—22no—
1413D3—41no—
1414D3—41no—
1415D3—62no—
1416D3—62no—
1417D3—62no—
1418D3—62no—
1419D3—62no—
1420D3—62no—
1421D3—122no—
1422D3—122no—
1423D3—122no—
1424D3—121no—
1425D3—121no—
1426D3—241no—
1427C22—21no—
1428C22—21no—
1429C22—21no—
1430C22—32no—
1431C22—61no—
1432C22—61no—
1433C22—61no—
1434C22—61no—
1435C22—61no—
1436C22—61no—
1437C22—61no—
1438C22—61no—
1439C22—92no—
1440C22—92no—
1441C22—92no—
1442C22—181no—
1443C22—181no—
1444C22—181no—
1445C22—181no—
1446C22—181no—
1447C22—181no—
1448C22—181no—
1449C22—181no—
1450C22—181no—
1451C22—364no—
1452C22—364no—
1453C22—364no—
1454C22—1084no—
1455C22C2×D3311yescharacteristic
1456C4—32no—
1457C4—61no—
1458C4—61no—
1459C4—92no—
1460C4—181no—
1461C4—541no—
1462C4—541no—
1463C3—21no—
1464C3—21no—
1465C3—21no—
1466C3—41no—
1467C3#1059528711yescharacteristic, complemented
1468C3#1059529311yescharacteristic, complemented
1469C3#1059529511yescharacteristic, complemented
1470C2—41no—
1471C2—62no—
1472C2—121no—
1473C2—121no—
1474C2—182no—
1475C2—182no—
1476C2—182no—
1477C2—361no—
1478C2#1172441511yescharacteristic
1479C2D32×#6711yescharacteristic
1480C2#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×#88953C2semidirect
4. C2×D3×#625C2semidirect
5. #11723634C2semidirect
6. #11723631C2semidirect
7. #11723615C2semidirect
8. C3×#63983C2semidirect
9. C3×#63979C2semidirect
10. #11722965C2semidirect
11. #11722957C2semidirect
12. #11722951C2semidirect
13. #11722947C2semidirect
14. #11722934C2semidirect
15. #11722928C2semidirect
19. C23×C3×C3⋊D3C22semidirect
20. C22×#1113C22semidirect
21. C22×C3×D32C22semidirect
22. C22×C3×D32C22semidirect
23. C2×C3×#638C22semidirect
24. C2×C3×#638C22semidirect
25. C2×C32×#67C22semidirect
26. C2×C32×#67C22semidirect
27. C2×C32×#67C22semidirect
30. C2×#6295C22semidirect
31. C2×#6294C22semidirect
32. C2×#6290C22semidirect
33. C2×#6290C22semidirect
34. C2×#6290C22semidirect
35. C2×#6290C22semidirect
36. C2×Dic3×C3⋊D3C22semidirect
37. C2×D3×C3⋊Dic3C22semidirect
40. C2×C3×#626C22semidirect
41. C2×C3×#626C22semidirect
42. C2×C3×#626C22semidirect
43. C2×C3×#625C22semidirect
44. C2×C3×#624C22semidirect
47. #88864C22semidirect
48. #88807C22semidirect
49. Dic3⋊(C3⋊Dic3)C22semidirect
50. #88803C22semidirect
51. #88803C22semidirect
52. #88803C22semidirect
53. (C2×D3)⋊(C3⋊Dic3)C22semidirect
54. C3×#3722C22semidirect
55. C3×(C2×D3)⋊Dic3C22semidirect
56. C3×(C2×D3)⋊Dic3C22semidirect
57. C3×Dic32C22semidirect
61. C2×#3811D3semidirect
78. #63983D3semidirect
79. #63979D3semidirect
139. #6295D4semidirect
150. C3×#626D4semidirect
156. C23×C3⋊D3C2×D3semidirect
167. C22×D32C2×D3semidirect
168. C22×D32C2×D3semidirect
176. C2×#638C2×D3semidirect
177. C2×#638C2×D3semidirect
195. C2×C3×#67C2×D3semidirect
196. C2×C3×#67C2×D3semidirect
197. C2×C3×#67C2×D3semidirect
198. C2×C3×#67C2×D3semidirect
199. C2×C3×#67C2×D3semidirect
200. C2×C3×#67C2×D3semidirect
222. C2×#626C2×D3semidirect
223. C2×#626C2×D3semidirect
224. C2×#626C2×D3semidirect
240. C2×#625C2×D3semidirect
242. C2×#624C2×D3semidirect
279. #3722C2×D3semidirect
292. (C2×D3)⋊Dic3C2×D3semidirect
293. (C2×D3)⋊Dic3C2×D3semidirect
294. Dic32C2×D3semidirect
309. C2×C3×C3⋊D3C2×D4semidirect
310. C2×C3×C3⋊D3C2×D4semidirect
311. C2×C3×C3⋊D3C2×D4semidirect
320. C2×C32×D3C2×D4semidirect
327. C3×C3⋊Dic3C2×D4semidirect
330. C32×Dic3C2×D4semidirect
532. #626#67semidirect
637. C2×#67D32semidirect
638. C2×#67D32semidirect
639. C2×#67D32semidirect
756. C2×C3⋊D3D3×D4semidirect
757. C2×C3⋊D3D3×D4semidirect
758. C2×C3⋊D3C2×#67semidirect
827. C2×C3×D3D3×D4semidirect
828. C2×C3×D3C2×#67semidirect
852. C3⋊Dic3D3×D4semidirect
866. C3×Dic3D3×D4semidirect
867. C3×Dic3C2×#67semidirect
883. C33D42semidirect
1282. C2×D3D3×#67semidirect
1316. Dic3D3×#67semidirect
1321. C32#5590semidirect
1322. C32#5717semidirect
1323. C32D4×#67semidirect
1467. C3#10595287semidirect
1468. C3#10595293semidirect
1469. C3#10595295semidirect

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×#889532
C2×D3×#6252
#117236342
#117236312
#117236152
C3×#639832
C3×#639792
#117229652
#117229572
#117229512
#117229472
#117229342
#117229282
#105952953
#105952933
#105952873