Finite Group Databasebeta

← C3×D3×#939 #13174690

Subgroups — C3×D3×#939 #13174690

Order 1728.

2182 conjugacy classes of subgroups.

The subgroup lattice has 1454 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C32×D3×D4C211yesmaximal, characteristic, complemented
2C2×C3×D3×#67C211yesmaximal, characteristic, complemented
3C2×C3×D3×#67C211yesmaximal, characteristic, complemented
4C22×C3×D3×Dic3C211yesmaximal, characteristic, complemented
5C3×#64148C211yesmaximal, characteristic, complemented
6C32×#939C211yesmaximal, characteristic, complemented
7C3×#63980C211yesmaximal, characteristic, complemented
8C3×#63978C211yesmaximal, characteristic, complemented
9C3×#63971C211yesmaximal, characteristic, complemented
10C3×#63970C211yesmaximal, characteristic, complemented
11C3×D3×#217C211yesmaximal, characteristic, complemented
12C3×D3×(C2×D3)⋊C4C211yesmaximal, characteristic, complemented
13C3×#63886C211yesmaximal, characteristic, complemented
14C3×#63885C211yesmaximal, characteristic, complemented
15C3×D3×Dic3⋊C4C211yesmaximal, characteristic, complemented
16C2×C3×#939—31nomaximal
17C3×D3×#121—31nomaximal
18D3×#939C311yesmaximal, characteristic, direct product factor
19C23×C32×D3C2211yescharacteristic
20C23×C32×D3C2211yescharacteristic
21C22×C3×D32C2211yescharacteristic
22C2×C33×D4C2211yescharacteristic, complemented
23C2×C3×#638C2211yescharacteristic, complemented
24C2×C3×#638C2211yescharacteristic, complemented
25C22×C3×C3⋊Dic3C2211yescharacteristic, complemented
26C2×C32×#67C2211yescharacteristic, complemented
27C2×C32×#67C2211yescharacteristic, complemented
28C2×C32×#67C2211yescharacteristic, complemented
29C2×C32×#67C2211yescharacteristic, complemented
30C22×C32×Dic3C2211yescharacteristic, complemented
31C32×D3×D4—24no—
32C2×C32×D12C2211yescharacteristic, complemented
33C2×C32×C4×D3C2211yescharacteristic
34C3×D3×#67—24no—
35C3×D3×#67—24no—
36C2×C3×#626C2211yescharacteristic, complemented
37C2×C3×#626C2211yescharacteristic, complemented
38C2×C3×#625C2211yescharacteristic, complemented
39C2×C3×#625C2211yescharacteristic, complemented
40C2×C3×D3×Dic3—24no—
41C2×C3×D3×Dic3C2211yescharacteristic
42C2×C3×D3×Dic3C2211yescharacteristic
43C2×C3×D3×Dic3C2211yescharacteristic
44C2×C3×D3×Dic3C2211yescharacteristic, complemented
45C2×C3×D3×Dic3C2211yescharacteristic, complemented
46C3×#3757C2211yescharacteristic, complemented
47C3×#3752C2211yescharacteristic, complemented
48C3×#3750C2211yescharacteristic, complemented
49C32×#217C2211yescharacteristic, complemented
50C32×(C2×D3)⋊C4C2211yescharacteristic, complemented
51C32×Dic3⋊C4C2211yescharacteristic, complemented
52C3×#3724C2211yescharacteristic, complemented
53C3×Dic3⋊Dic3C2211yescharacteristic, complemented
54C3×#3722C2211yescharacteristic, complemented
55C3×(C2×D3)⋊Dic3C2211yescharacteristic, complemented
56C3×(C2×D3)⋊Dic3C2211yescharacteristic, complemented
57C3×(C2×D3)⋊Dic3C2211yescharacteristic, complemented
58C22×C32×D4—31no—
59C22×C3×#67—31no—
60C22×C3×#67—31no—
61C23×C3×Dic3—31no—
62C2×C3×D3×D4—21no—
63C2×C3×D3×D4—31no—
64C2×C3×D3×D4—31no—
65C2×C3×D3×D4D311yescharacteristic, complemented
66C2×C3×D3×D4C2×C311yescharacteristic, complemented
67C22×C3×C4×D3—31no—
68C2×D3×#67C2×C311yescharacteristic, complemented
69C2×D3×#67C2×C311yescharacteristic, complemented
70C22×D3×Dic3C2×C311yescharacteristic, complemented
71C32×#121—31no—
72#64148C2×C311yescharacteristic, complemented
73C2×C3×#217—31no—
74C3×#939—21no—
75C3×#939—31no—
76C3×#939—31no—
77C3×#939—31no—
78C3×#939—31no—
79C3×#939—31no—
80C3×#939—31no—
81C3×#939—31no—
82C3×#939—31no—
83C3×#939—31no—
84C3×#939—61no—
85C3×#939D311yescharacteristic, direct product factor
86C3×#939C2×C311yescharacteristic, complemented
87C3×#938—31no—
88C3×#930—31no—
89C2×C3×(C2×D3)⋊C4—31no—
90C2×C3×Dic3⋊C4—31no—
91C3×#895—31no—
92C3×D3×C4⋊C4—31no—
93C3×#884—31no—
94C3×#884—31no—
95C3×D3×C22⋊C4—31no—
96C3×D3×C22⋊C4—31no—
97#63980C2×C311yescharacteristic, complemented
98#63978C2×C311yescharacteristic, complemented
99#63971C2×C311yescharacteristic, complemented
100#63970C2×C311yescharacteristic, complemented
101D3×#217C2×C311yescharacteristic, complemented
102D3×(C2×D3)⋊C4C2×C311yescharacteristic, complemented
103#63886C2×C311yescharacteristic, complemented
104#63885C2×C311yescharacteristic, complemented
105D3×Dic3⋊C4C2×C311yescharacteristic, complemented
106C23×C33C2311yescharacteristic
107C23×C33C2311yescharacteristic
108C22×C3×C3⋊D3C2311yescharacteristic
109C22×C32×D3—22no—
110C22×C32×D3—22no—
111C22×C32×D3—22no—
112C22×C32×D3—22no—
113C22×C32×D3—22no—
114C22×C32×D3D414yescomplemented
115C22×C32×D3C2311yescharacteristic
116C22×C32×D3C2311yescharacteristic
117C22×C32×D3C2311yescharacteristic
118C22×C32×D3C2311yescharacteristic
119C2×C3×D32—22no—
120C2×C3×D32—22no—
121C2×C3×D32—22no—
122C33×D4—22no—
123C2×C33×C4C2311yescharacteristic
124C3×#638—22no—
125C3×#638—22no—
126C2×C3×C3⋊Dic3—22no—
127C2×C3×C3⋊Dic3C2311yescharacteristic
128C2×C3×C3⋊Dic3C2311yescharacteristic
129C2×C3×C3⋊Dic3C2311yescharacteristic
130C32×#67—22no—
131C32×#67—22no—
132C32×#67—22no—
133C32×#67—22no—
134C2×C32×Dic3—22no—
135C2×C32×Dic3C2311yescharacteristic
136C2×C32×Dic3C2311yescharacteristic
137C2×C32×Dic3C2311yescharacteristic
138C2×C32×Dic3C2311yescharacteristic
139C32×D12—22no—
140C32×C4×D3—22no—
141C3×#626—22no—
142C3×#626—22no—
143C3×#625—22no—
144C3×#625—22no—
145C3×D3×Dic3—22no—
146C3×D3×Dic3—22no—
147C3×D3×Dic3—22no—
148C3×D3×Dic3—22no—
149C3×D3×Dic3D414yescomplemented
150C2×C3×#121—91no—
151C2×#939—31no—
152D3×#121—31no—
153C24×C32—31no—
154C24×C32—31no—
155C23×C3×D3—21no—
156C23×C3×D3—21no—
157C23×C3×D3—31no—
158C23×C3×D3—31no—
159C23×C3×D3C2×D311yescharacteristic
160C23×C3×D3C2×D311yescharacteristic
161C23×C3×D3C22×C311yescharacteristic
162C23×C3×D3C22×C311yescharacteristic
163C22×D32C22×C311yescharacteristic
164C2×C32×D4—21no—
165C2×C32×D4—21no—
166C2×C32×D4—21no—
167C2×C32×D4—31no—
168C2×C32×D4—31no—
169C2×C32×D4—31no—
170C2×C32×D4—31no—
171C2×C32×D4—31no—
172C2×C32×D4—41no—
173C2×C32×D4—64no—
174C2×C32×D4C2×D311yescharacteristic, complemented
175C2×C32×D4C2×D311yescharacteristic, complemented
176C2×C32×D4C22×C311yescharacteristic, complemented
177C22×C32×C4—31no—
178C22×C32×C4—31no—
179C2×#638C22×C311yescharacteristic, complemented
180C2×#638C22×C311yescharacteristic, complemented
181C22×C3⋊Dic3C22×C311yescharacteristic, complemented
182C2×C3×#67—21no—
183C2×C3×#67—21no—
184C2×C3×#67—21no—
185C2×C3×#67—21no—
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—31no—
194C2×C3×#67—31no—
195C2×C3×#67—31no—
196C2×C3×#67—64no—
197C2×C3×#67—64no—
198C2×C3×#67—61no—
199C2×C3×#67—61no—
200C2×C3×#67C2×D311yescharacteristic, complemented
201C2×C3×#67C2×D311yescharacteristic, complemented
202C2×C3×#67C2×D311yescharacteristic, complemented
203C2×C3×#67C2×D311yescharacteristic, complemented
204C2×C3×#67C22×C311yescharacteristic, complemented
205C2×C3×#67C22×C311yescharacteristic, complemented
206C2×C3×#67C22×C311yescharacteristic, complemented
207C2×C3×#67C22×C311yescharacteristic, complemented
208C22×C3×Dic3—21no—
209C22×C3×Dic3—31no—
210C22×C3×Dic3—31no—
211C22×C3×Dic3—31no—
212C22×C3×Dic3—31no—
213C22×C3×Dic3—31no—
214C22×C3×Dic3—31no—
215C22×C3×Dic3—31no—
216C22×C3×Dic3—64no—
217C22×C3×Dic3—61no—
218C22×C3×Dic3C2×D311yescharacteristic, complemented
219C22×C3×Dic3C22×C311yescharacteristic, complemented
220C3×D3×D4—28no—
221C3×D3×D4—24no—
222C3×D3×D4—24no—
223C3×D3×D4—64no—
224C3×D3×D4—64no—
225C2×C3×D12—21no—
226C2×C3×D12—31no—
227C2×C3×D12—31no—
228C2×C3×D12C2×D311yescharacteristic, complemented
229C2×C3×D12C22×C311yescharacteristic, complemented
230C2×C3×C4×D3—21no—
231C2×C3×C4×D3—31no—
232C2×C3×C4×D3—31no—
233C2×C3×C4×D3—31no—
234C2×C3×C4×D3—31no—
235C2×C3×C4×D3—31no—
236C2×C3×C4×D3—64no—
237C2×C3×C4×D3C2×D311yescharacteristic
238C2×C3×C4×D3C22×C311yescharacteristic
239D3×#67—24no—
240D3×#67—24no—
241C2×#626C22×C311yescharacteristic, complemented
242C2×#626C22×C311yescharacteristic, complemented
243C2×#625C22×C311yescharacteristic, complemented
244C2×#625C22×C311yescharacteristic, complemented
245C2×D3×Dic3—24no—
246C2×D3×Dic3C22×C311yescharacteristic
247C2×D3×Dic3C22×C311yescharacteristic
248C2×D3×Dic3C22×C311yescharacteristic
249C2×D3×Dic3C22×C311yescharacteristic, complemented
250C2×D3×Dic3C22×C311yescharacteristic, complemented
251C32×C4⋊C4—31no—
252C32×C22⋊C4—31no—
253C32×C22⋊C4—31no—
254#3757C22×C311yescharacteristic, complemented
255#3752C22×C311yescharacteristic, complemented
256#3750C22×C311yescharacteristic, complemented
257C3×#217—21no—
258C3×#217—31no—
259C3×#217—31no—
260C3×#217—31no—
261C3×#217—31no—
262C3×#217—31no—
263C3×#217—61no—
264C3×#217C2×D311yescharacteristic, complemented
265C3×#217C22×C311yescharacteristic, complemented
266C3×(C2×D3)⋊C4—21no—
267C3×(C2×D3)⋊C4—31no—
268C3×(C2×D3)⋊C4—31no—
269C3×(C2×D3)⋊C4—31no—
270C3×(C2×D3)⋊C4—31no—
271C3×(C2×D3)⋊C4—31no—
272C3×(C2×D3)⋊C4—31no—
273C3×(C2×D3)⋊C4—31no—
274C3×(C2×D3)⋊C4—61no—
275C3×(C2×D3)⋊C4C2×D311yescharacteristic, complemented
276C3×(C2×D3)⋊C4C22×C311yescharacteristic, complemented
277C3×C4⋊Dic3—31no—
278C3×Dic3⋊C4—21no—
279C3×Dic3⋊C4—31no—
280C3×Dic3⋊C4—31no—
281C3×Dic3⋊C4—31no—
282C3×Dic3⋊C4—31no—
283C3×Dic3⋊C4—31no—
284C3×Dic3⋊C4—61no—
285C3×Dic3⋊C4C2×D311yescharacteristic, complemented
286C3×Dic3⋊C4C22×C311yescharacteristic, complemented
287#3724C22×C311yescharacteristic, complemented
288Dic3⋊Dic3C22×C311yescharacteristic, complemented
289#3722C22×C311yescharacteristic, complemented
290(C2×D3)⋊Dic3C22×C311yescharacteristic, complemented
291(C2×D3)⋊Dic3C22×C311yescharacteristic, complemented
292(C2×D3)⋊Dic3C22×C311yescharacteristic, complemented
293C22×C33—21no—
294C22×C33—21no—
295C22×C33—21no—
296C22×C33—21no—
297C22×C33—21no—
298C22×C33C2×D412yescomplemented
299C22×C33C2411yescharacteristic
300C2×C3×C3⋊D3—21no—
301C2×C3×C3⋊D3—21no—
302C2×C3×C3⋊D3—21no—
303C2×C32×D3—21no—
304C2×C32×D3—21no—
305C2×C32×D3—28no—
306C2×C32×D3—21no—
307C2×C32×D3—21no—
308C2×C32×D3—21no—
309C2×C32×D3—21no—
310C2×C32×D3—21no—
311C2×C32×D3—21no—
312C2×C32×D3—44no—
313C2×C32×D3C2×D412yes—
314C2×C32×D3C2×D412yes—
315C2×C32×D3C2×D412yescomplemented
316C2×C32×D3#4112yes—
317C3×D32—44no—
318C33×C4—21no—
319C3×C3⋊Dic3—21no—
320C3×C3⋊Dic3—21no—
321C3×C3⋊Dic3C2×D412yescomplemented
322C32×Dic3—21no—
323C32×Dic3—21no—
324C32×Dic3—21no—
325C32×Dic3C2×D412yescomplemented
326C22×C3×D4—31no—
327C22×C3×D4—31no—
328C22×C3×D4—61no—
329C22×C3×D4—91no—
330C22×C3×D4—91no—
331C23×C3×C4—91no—
332C22×#67—31no—
333C22×#67—31no—
334C23×Dic3—31no—
335C2×D3×D4—31no—
336C2×D3×D4—31no—
337C2×D3×D4C3×D311yescharacteristic, complemented
338C22×C4×D3—31no—
339C3×#121—31no—
340C3×#121—31no—
341C3×#121—61no—
342C3×#121—91no—
343C3×#121—91no—
344C3×#121—91no—
345C3×#121—91no—
346C3×#121—91no—
347C3×#121—91no—
348C3×#121—91no—
349C2×C3×C4⋊C4—91no—
350C2×C3×C22⋊C4—91no—
351C2×C3×C22⋊C4—91no—
352C2×#217—31no—
353#939—31no—
354#939—31no—
355#939—31no—
356#939—31no—
357#939—31no—
358#939—31no—
359#939—31no—
360#939—31no—
361#939—31no—
362#939—61no—
363#939C3×D311yescharacteristic, direct product factor
364#938—31no—
365#930—31no—
366C2×(C2×D3)⋊C4—31no—
367C2×Dic3⋊C4—31no—
368#895—31no—
369D3×C4⋊C4—31no—
370#884—31no—
371#884—31no—
372D3×C22⋊C4—31no—
373D3×C22⋊C4—31no—
374C23×C32—21no—
375C23×C32—21no—
376C23×C32—21no—
377C23×C32—21no—
378C23×C32—21no—
379C23×C32—21no—
380C23×C32—31no—
381C23×C32—34no—
382C23×C32—31no—
383C23×C32—31no—
384C23×C32—31no—
385C23×C32—41no—
386C23×C32—41no—
387C23×C32—62no—
388C23×C32—62no—
389C23×C32—62no—
390C23×C32—62no—
391C23×C32—62no—
392C23×C32C22×D311yescharacteristic
393C23×C32C22×D311yescharacteristic
394C23×C32C22×D311yescharacteristic
395C23×C32C22×D311yescharacteristic
396C23×C32C23×C311yescharacteristic
397C23×C32C23×C311yescharacteristic
398C22×C3⋊D3C23×C311yescharacteristic
399C22×C3×D3—22no—
400C22×C3×D3—22no—
401C22×C3×D3—22no—
402C22×C3×D3—22no—
403C22×C3×D3—24no—
404C22×C3×D3—22no—
405C22×C3×D3—22no—
406C22×C3×D3—22no—
407C22×C3×D3—22no—
408C22×C3×D3—22no—
409C22×C3×D3—22no—
410C22×C3×D3—24no—
411C22×C3×D3—21no—
412C22×C3×D3—21no—
413C22×C3×D3—21no—
414C22×C3×D3—21no—
415C22×C3×D3—31no—
416C22×C3×D3—31no—
417C22×C3×D3—42no—
418C22×C3×D3—42no—
419C22×C3×D3—42no—
420C22×C3×D3—42no—
421C22×C3×D3—61no—
422C22×C3×D3—62no—
423C22×C3×D3—62no—
424C22×C3×D3—62no—
425C22×C3×D3—62no—
426C22×C3×D3—62no—
427C22×C3×D3—62no—
428C22×C3×D3#6714yescomplemented
429C22×C3×D3C3×D414yescomplemented
430C22×C3×D3C22×D311yescharacteristic
431C22×C3×D3C22×D311yescharacteristic
432C22×C3×D3C22×D311yescharacteristic
433C22×C3×D3C22×D311yescharacteristic
434C22×C3×D3C23×C311yescharacteristic
435C22×C3×D3C23×C311yescharacteristic
436C22×C3×D3C23×C311yescharacteristic
437C22×C3×D3C23×C311yescharacteristic
438C2×D32—22no—
439C2×D32—22no—
440C2×D32—22no—
441C32×D4—22no—
442C32×D4—24no—
443C32×D4—22no—
444C32×D4—22no—
445C32×D4—42no—
446C32×D4—42no—
447C32×D4—44no—
448C32×D4—62no—
449C32×D4—62no—
450C32×D4—62no—
451C32×D4—62no—
452C32×D4—62no—
453C2×C32×C4—21no—
454C2×C32×C4—21no—
455C2×C32×C4—21no—
456C2×C32×C4—31no—
457C2×C32×C4—31no—
458C2×C32×C4—31no—
459C2×C32×C4—31no—
460C2×C32×C4—41no—
461C2×C32×C4—62no—
462C2×C32×C4—62no—
463C2×C32×C4C22×D311yescharacteristic
464C2×C32×C4C22×D311yescharacteristic
465C2×C32×C4C23×C311yescharacteristic
466#638—22no—
467#638—22no—
468C2×C3⋊Dic3—22no—
469C2×C3⋊Dic3C23×C311yescharacteristic
470C2×C3⋊Dic3C23×C311yescharacteristic
471C2×C3⋊Dic3C23×C311yescharacteristic
472C3×#67—24no—
473C3×#67—24no—
474C3×#67—22no—
475C3×#67—22no—
476C3×#67—22no—
477C3×#67—22no—
478C3×#67—22no—
479C3×#67—22no—
480C3×#67—22no—
481C3×#67—22no—
482C3×#67—42no—
483C3×#67—42no—
484C3×#67—62no—
485C3×#67—62no—
486C3×#67—62no—
487C3×#67—62no—
488C3×#67—62no—
489C3×#67—62no—
490C3×#67—62no—
491C3×#67—62no—
492C3×#67—62no—
493C3×#67—62no—
494C3×#67—122no—
495C3×#67—122no—
496C2×C3×Dic3—22no—
497C2×C3×Dic3—22no—
498C2×C3×Dic3—21no—
499C2×C3×Dic3—21no—
500C2×C3×Dic3—21no—
501C2×C3×Dic3—21no—
502C2×C3×Dic3—31no—
503C2×C3×Dic3—31no—
504C2×C3×Dic3—34no—
505C2×C3×Dic3—31no—
506C2×C3×Dic3—31no—
507C2×C3×Dic3—31no—
508C2×C3×Dic3—31no—
509C2×C3×Dic3—42no—
510C2×C3×Dic3—61no—
511C2×C3×Dic3—61no—
512C2×C3×Dic3—61no—
513C2×C3×Dic3—62no—
514C2×C3×Dic3—62no—
515C2×C3×Dic3—62no—
516C2×C3×Dic3—62no—
517C2×C3×Dic3—62no—
518C2×C3×Dic3—62no—
519C2×C3×Dic3—122no—
520C2×C3×Dic3C22×D311yescharacteristic
521C2×C3×Dic3C22×D311yescharacteristic
522C2×C3×Dic3C22×D311yescharacteristic
523C2×C3×Dic3C22×D311yescharacteristic
524C2×C3×Dic3C23×C311yescharacteristic
525C2×C3×Dic3C23×C311yescharacteristic
526C2×C3×Dic3C23×C311yescharacteristic
527C2×C3×Dic3C23×C311yescharacteristic
528C3×D12—24no—
529C3×D12—22no—
530C3×D12—22no—
531C3×D12—62no—
532C3×D12—62no—
533C3×C4×D3—24no—
534C3×C4×D3—22no—
535C3×C4×D3—22no—
536C3×C4×D3—34no—
537C3×C4×D3—62no—
538C3×C4×D3—62no—
539C3×C4×D3—62no—
540C3×C4×D3—62no—
541#626—22no—
542#626—22no—
543#625—22no—
544#625—22no—
545D3×Dic3—22no—
546D3×Dic3—22no—
547D3×Dic3—22no—
548D3×Dic3—22no—
549D3×Dic3C3×D414yescomplemented
550C2×#121—91noSylow
551C2×C33—22no—
552C2×C33—41no—
553C2×C33C22×D411yescharacteristic
554C2×C33C22×D411yescharacteristic
555C2×C33C2×#4111yescharacteristic
556C3×C3⋊D3—41no—
557C32×D3—22no—
558C32×D3—41no—
559C32×D3—41no—
560C32×D3#12114yescomplemented
561C24×C3—31no—
562C24×C3—31no—
563C24×C3—31no—
564C24×C3—31no—
565C24×C3—61no—
566C24×C3—61no—
567C24×C3—91no—
568C23×D3—31no—
569C23×D3—31no—
570C23×D3C2×C3×D311yescharacteristic
571C23×D3C2×C3×D311yescharacteristic
572C2×C3×D4—21no—
573C2×C3×D4—21no—
574C2×C3×D4—21no—
575C2×C3×D4—31no—
576C2×C3×D4—31no—
577C2×C3×D4—31no—
578C2×C3×D4—31no—
579C2×C3×D4—31no—
580C2×C3×D4—31no—
581C2×C3×D4—31no—
582C2×C3×D4—31no—
583C2×C3×D4—31no—
584C2×C3×D4—31no—
585C2×C3×D4—41no—
586C2×C3×D4—61no—
587C2×C3×D4—61no—
588C2×C3×D4—61no—
589C2×C3×D4—61no—
590C2×C3×D4—61no—
591C2×C3×D4—64no—
592C2×C3×D4—64no—
593C2×C3×D4—68no—
594C2×C3×D4—91no—
595C2×C3×D4—91no—
596C2×C3×D4—91no—
597C2×C3×D4—91no—
598C2×C3×D4—91no—
599C2×C3×D4—91no—
600C2×C3×D4—184no—
601C2×C3×D4—184no—
602C2×C3×D4D3211yescharacteristic, complemented
603C2×C3×D4C2×C3×D311yescharacteristic, complemented
604C2×C3×D4C2×C3×D311yescharacteristic, complemented
605C22×C3×C4—31no—
606C22×C3×C4—31no—
607C22×C3×C4—31no—
608C22×C3×C4—31no—
609C22×C3×C4—61no—
610C22×C3×C4—61no—
611C22×C3×C4—91no—
612C22×C3×C4—91no—
613C22×C3×C4—91no—
614C22×C3×C4—91no—
615C22×C3×C4—91no—
616C22×C3×C4—91no—
617C22×C3×C4—184no—
618C2×#67—31no—
619C2×#67—31no—
620C2×#67—31no—
621C2×#67—31no—
622C2×#67—31no—
623C2×#67—31no—
624C2×#67—31no—
625C2×#67—31no—
626C2×#67—31no—
627C2×#67—31no—
628C2×#67—61no—
629C2×#67—61no—
630C2×#67—64no—
631C2×#67—64no—
632C2×#67C2×C3×D311yescharacteristic, complemented
633C2×#67C2×C3×D311yescharacteristic, complemented
634C2×#67C2×C3×D311yescharacteristic, complemented
635C2×#67C2×C3×D311yescharacteristic, complemented
636C22×Dic3—31no—
637C22×Dic3—31no—
638C22×Dic3—31no—
639C22×Dic3—31no—
640C22×Dic3—31no—
641C22×Dic3—31no—
642C22×Dic3—31no—
643C22×Dic3—61no—
644C22×Dic3—64no—
645C22×Dic3C2×C3×D311yescharacteristic, complemented
646D3×D4—24no—
647D3×D4—64no—
648D3×D4—64no—
649C2×D12—31no—
650C2×D12—31no—
651C2×D12C2×C3×D311yescharacteristic, complemented
652C2×C4×D3—31no—
653C2×C4×D3—31no—
654C2×C4×D3—31no—
655C2×C4×D3—31no—
656C2×C4×D3—31no—
657C2×C4×D3—64no—
658C2×C4×D3C2×C3×D311yescharacteristic
659C3×C4⋊C4—31no—
660C3×C4⋊C4—31no—
661C3×C4⋊C4—61no—
662C3×C4⋊C4—91no—
663C3×C4⋊C4—91no—
664C3×C4⋊C4—91no—
665C3×C22⋊C4—31no—
666C3×C22⋊C4—31no—
667C3×C22⋊C4—31no—
668C3×C22⋊C4—31no—
669C3×C22⋊C4—61no—
670C3×C22⋊C4—61no—
671C3×C22⋊C4—91no—
672C3×C22⋊C4—91no—
673C3×C22⋊C4—91no—
674C3×C22⋊C4—91no—
675C3×C22⋊C4—91no—
676C3×C22⋊C4—91no—
677#217—31no—
678#217—31no—
679#217—31no—
680#217—31no—
681#217—31no—
682#217—61no—
683#217C2×C3×D311yescharacteristic, complemented
684(C2×D3)⋊C4—31no—
685(C2×D3)⋊C4—31no—
686(C2×D3)⋊C4—31no—
687(C2×D3)⋊C4—31no—
688(C2×D3)⋊C4—31no—
689(C2×D3)⋊C4—31no—
690(C2×D3)⋊C4—31no—
691(C2×D3)⋊C4—61no—
692(C2×D3)⋊C4C2×C3×D311yescharacteristic, complemented
693C4⋊Dic3—31no—
694Dic3⋊C4—31no—
695Dic3⋊C4—31no—
696Dic3⋊C4—31no—
697Dic3⋊C4—31no—
698Dic3⋊C4—31no—
699Dic3⋊C4—61no—
700Dic3⋊C4C2×C3×D311yescharacteristic, complemented
701C22×C32—21no—
702C22×C32—21no—
703C22×C32—21no—
704C22×C32—21no—
705C22×C32—21no—
706C22×C32—21no—
707C22×C32—21no—
708C22×C32—22no—
709C22×C32—21no—
710C22×C32—21no—
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—22no—
721C22×C32—22no—
722C22×C32—22no—
723C22×C32—32no—
724C22×C32—32no—
725C22×C32—32no—
726C22×C32—32no—
727C22×C32—41no—
728C22×C32—42no—
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—41no—
739C22×C32—41no—
740C22×C32—41no—
741C22×C32—41no—
742C22×C32—41no—
743C22×C32—41no—
744C22×C32—61no—
745C22×C32—68no—
746C22×C32—61no—
747C22×C32—61no—
748C22×C32—61no—
749C22×C32—61no—
750C22×C32—61no—
751C22×C32—61no—
752C22×C32—61no—
753C22×C32—81no—
754C22×C32—81no—
755C22×C32—81no—
756C22×C32—81no—
757C22×C32—124no—
758C22×C32D3×D412yescomplemented
759C22×C32C2×#6712yescomplemented
760C22×C32C2×C3×D412yescomplemented
761C22×C32C23×D311yescharacteristic
762C22×C32C23×D311yescharacteristic
763C22×C32C24×C311yescharacteristic
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—28no—
772C2×C3×D3—28no—
773C2×C3×D3—22no—
774C2×C3×D3—21no—
775C2×C3×D3—21no—
776C2×C3×D3—21no—
777C2×C3×D3—21no—
778C2×C3×D3—21no—
779C2×C3×D3—21no—
780C2×C3×D3—21no—
781C2×C3×D3—21no—
782C2×C3×D3—21no—
783C2×C3×D3—21no—
784C2×C3×D3—21no—
785C2×C3×D3—21no—
786C2×C3×D3—22no—
787C2×C3×D3—22no—
788C2×C3×D3—22no—
789C2×C3×D3—22no—
790C2×C3×D3—48no—
791C2×C3×D3—41no—
792C2×C3×D3—41no—
793C2×C3×D3—41no—
794C2×C3×D3—41no—
795C2×C3×D3—41no—
796C2×C3×D3—41no—
797C2×C3×D3—41no—
798C2×C3×D3—48no—
799C2×C3×D3—44no—
800C2×C3×D3—44no—
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—121no—
808C2×C3×D3—121no—
809C2×C3×D3—121no—
810C2×C3×D3—124no—
811C2×C3×D3—124no—
812C2×C3×D3D3×D412yes—
813C2×C3×D3#23712yes—
814C2×C3×D3C2×#6712yes—
815C2×C3×D3C2×#6712yescomplemented
816C2×C3×D3C2×C3×D412yes—
817C2×C3×D3C2×C3×D412yes—
818C2×C3×D3C2×C3×D412yescomplemented
819C2×C3×D3C3×#4112yes—
820D32—44no—
821C32×C4—21no—
822C32×C4—22no—
823C32×C4—21no—
824C32×C4—21no—
825C32×C4—32no—
826C32×C4—41no—
827C32×C4—41no—
828C32×C4—42no—
829C32×C4—61no—
830C32×C4—61no—
831C32×C4—61no—
832C3⋊Dic3—21no—
833C3⋊Dic3—21no—
834C3⋊Dic3C2×C3×D412yescomplemented
835C3×Dic3—22no—
836C3×Dic3—21no—
837C3×Dic3—21no—
838C3×Dic3—21no—
839C3×Dic3—21no—
840C3×Dic3—21no—
841C3×Dic3—21no—
842C3×Dic3—22no—
843C3×Dic3—32no—
844C3×Dic3—32no—
845C3×Dic3—41no—
846C3×Dic3—41no—
847C3×Dic3—62no—
848C3×Dic3—61no—
849C3×Dic3—61no—
850C3×Dic3—61no—
851C3×Dic3—61no—
852C3×Dic3—121no—
853C3×Dic3—121no—
854C3×Dic3D3×D412yescomplemented
855C3×Dic3C2×C3×D412yescomplemented
856C22×D4—31no—
857C22×D4—91no—
858C22×D4—91no—
859C23×C4—91no—
860#121—31no—
861#121—91no—
862#121—91no—
863#121—91no—
864#121—91no—
865#121—91no—
866#121—91no—
867#121—91no—
868C2×C4⋊C4—91no—
869C2×C22⋊C4—91no—
870C2×C22⋊C4—91no—
871C33C2×#12111yescharacteristic, complemented, Sylow
872C23×C3—21no—
873C23×C3—21no—
874C23×C3—21no—
875C23×C3—21no—
876C23×C3—21no—
877C23×C3—21no—
878C23×C3—31no—
879C23×C3—31no—
880C23×C3—31no—
881C23×C3—31no—
882C23×C3—34no—
883C23×C3—34no—
884C23×C3—31no—
885C23×C3—31no—
886C23×C3—31no—
887C23×C3—31no—
888C23×C3—41no—
889C23×C3—41no—
890C23×C3—61no—
891C23×C3—61no—
892C23×C3—64no—
893C23×C3—61no—
894C23×C3—61no—
895C23×C3—62no—
896C23×C3—62no—
897C23×C3—62no—
898C23×C3—62no—
899C23×C3—62no—
900C23×C3—62no—
901C23×C3—62no—
902C23×C3—62no—
903C23×C3—62no—
904C23×C3—62no—
905C23×C3—64no—
906C23×C3—91no—
907C23×C3—122no—
908C23×C3—122no—
909C23×C3—122no—
910C23×C3—122no—
911C23×C3—182no—
912C23×C3—182no—
913C23×C3—182no—
914C23×C3C2×D3211yescharacteristic
915C23×C3C2×D3211yescharacteristic
916C23×C3C22×C3×D311yescharacteristic
917C23×C3C22×C3×D311yescharacteristic
918C23×C3C22×C3×D311yescharacteristic
919C23×C3C22×C3×D311yescharacteristic
920C22×D3—22no—
921C22×D3—22no—
922C22×D3—22no—
923C22×D3—22no—
924C22×D3—22no—
925C22×D3—31no—
926C22×D3—31no—
927C22×D3—61no—
928C22×D3—62no—
929C22×D3—62no—
930C22×D3—62no—
931C22×D3—62no—
932C22×D3—62no—
933C22×D3—62no—
934C22×D3C3×#6714yescomplemented
935C22×D3C22×C3×D311yescharacteristic
936C22×D3C22×C3×D311yescharacteristic
937C22×D3C22×C3×D311yescharacteristic
938C22×D3C22×C3×D311yescharacteristic
939C3×D4—24no—
940C3×D4—22no—
941C3×D4—22no—
942C3×D4—22no—
943C3×D4—42no—
944C3×D4—42no—
945C3×D4—44no—
946C3×D4—62no—
947C3×D4—62no—
948C3×D4—64no—
949C3×D4—62no—
950C3×D4—62no—
951C3×D4—62no—
952C3×D4—62no—
953C3×D4—64no—
954C3×D4—64no—
955C3×D4—62no—
956C3×D4—62no—
957C3×D4—62no—
958C3×D4—62no—
959C3×D4—122no—
960C3×D4—122no—
961C3×D4—182no—
962C3×D4—182no—
963C3×D4—182no—
964C3×D4—182no—
965C3×D4—182no—
966C3×D4—182no—
967C2×C3×C4—21no—
968C2×C3×C4—21no—
969C2×C3×C4—21no—
970C2×C3×C4—31no—
971C2×C3×C4—31no—
972C2×C3×C4—31no—
973C2×C3×C4—31no—
974C2×C3×C4—31no—
975C2×C3×C4—31no—
976C2×C3×C4—31no—
977C2×C3×C4—31no—
978C2×C3×C4—41no—
979C2×C3×C4—61no—
980C2×C3×C4—61no—
981C2×C3×C4—61no—
982C2×C3×C4—61no—
983C2×C3×C4—62no—
984C2×C3×C4—62no—
985C2×C3×C4—64no—
986C2×C3×C4—62no—
987C2×C3×C4—62no—
988C2×C3×C4—94no—
989C2×C3×C4—91no—
990C2×C3×C4—91no—
991C2×C3×C4—91no—
992C2×C3×C4—122no—
993C2×C3×C4—182no—
994C2×C3×C4—182no—
995C2×C3×C4—182no—
996C2×C3×C4—182no—
997C2×C3×C4—182no—
998C2×C3×C4C2×D3211yescharacteristic
999C2×C3×C4C22×C3×D311yescharacteristic
1000C2×C3×C4C22×C3×D311yescharacteristic
1001#67—22no—
1002#67—22no—
1003#67—22no—
1004#67—22no—
1005#67—62no—
1006#67—62no—
1007#67—62no—
1008#67—62no—
1009#67—62no—
1010#67—62no—
1011#67—62no—
1012#67—62no—
1013#67—62no—
1014#67—62no—
1015#67—122no—
1016#67—122no—
1017C2×Dic3—22no—
1018C2×Dic3—31no—
1019C2×Dic3—31no—
1020C2×Dic3—34no—
1021C2×Dic3—31no—
1022C2×Dic3—31no—
1023C2×Dic3—31no—
1024C2×Dic3—31no—
1025C2×Dic3—61no—
1026C2×Dic3—61no—
1027C2×Dic3—61no—
1028C2×Dic3—62no—
1029C2×Dic3—62no—
1030C2×Dic3—62no—
1031C2×Dic3—62no—
1032C2×Dic3—62no—
1033C2×Dic3—62no—
1034C2×Dic3—122no—
1035C2×Dic3C22×C3×D311yescharacteristic
1036C2×Dic3C22×C3×D311yescharacteristic
1037C2×Dic3C22×C3×D311yescharacteristic
1038C2×Dic3C22×C3×D311yescharacteristic
1039D12—22no—
1040D12—62no—
1041D12—62no—
1042C4×D3—22no—
1043C4×D3—34no—
1044C4×D3—62no—
1045C4×D3—62no—
1046C4×D3—62no—
1047C4×D3—62no—
1048C2×C32—22no—
1049C2×C32—22no—
1050C2×C32—22no—
1051C2×C32—21no—
1052C2×C32—21no—
1053C2×C32—21no—
1054C2×C32—21no—
1055C2×C32—21no—
1056C2×C32—21no—
1057C2×C32—21no—
1058C2×C32—21no—
1059C2×C32—21no—
1060C2×C32—34no—
1061C2×C32—41no—
1062C2×C32—41no—
1063C2×C32—41no—
1064C2×C32—42no—
1065C2×C32—42no—
1066C2×C32—42no—
1067C2×C32—41no—
1068C2×C32—42no—
1069C2×C32—41no—
1070C2×C32—41no—
1071C2×C32—62no—
1072C2×C32—82no—
1073C2×C32—81no—
1074C2×C32—81no—
1075C2×C32—82no—
1076C2×C32—121no—
1077C2×C32—121no—
1078C2×C32C2×D3×D411yescharacteristic
1079C2×C32C2×D3×D411yescharacteristic
1080C2×C32C2×D3×D411yescharacteristic
1081C2×C32C2×#23711yescharacteristic
1082C2×C32D3×#4111yescharacteristic
1083C2×C32C22×#6711yescharacteristic
1084C2×C32C22×C3×D411yescharacteristic
1085C2×C32C22×C3×D411yescharacteristic
1086C2×C32C2×C3×#4111yescharacteristic
1087C3⋊D3—41no—
1088C3×D3—22no—
1089C3×D3—22no—
1090C3×D3—24no—
1091C3×D3—42no—
1092C3×D3—42no—
1093C3×D3—41no—
1094C3×D3—41no—
1095C3×D3—41no—
1096C3×D3—41no—
1097C3×D3—81no—
1098C3×D3—121no—
1099C3×D3—121no—
1100C3×D3—241no—
1101C3×D3#93914yesdirect product factor
1102C3×D3C3×#12114yescomplemented
1103C24—31no—
1104C24—31no—
1105C24—91no—
1106C2×D4—31no—
1107C2×D4—31no—
1108C2×D4—31no—
1109C2×D4—31no—
1110C2×D4—31no—
1111C2×D4—64no—
1112C2×D4—91no—
1113C2×D4—91no—
1114C2×D4—91no—
1115C2×D4—91no—
1116C2×D4—91no—
1117C2×D4—91no—
1118C2×D4—184no—
1119C2×D4—184no—
1120C2×D4C3×D3211yescharacteristic, complemented
1121C22×C4—31no—
1122C22×C4—31no—
1123C22×C4—91no—
1124C22×C4—91no—
1125C22×C4—91no—
1126C22×C4—91no—
1127C22×C4—91no—
1128C22×C4—91no—
1129C22×C4—184no—
1130C4⋊C4—31no—
1131C4⋊C4—91no—
1132C4⋊C4—91no—
1133C4⋊C4—91no—
1134C22⋊C4—31no—
1135C22⋊C4—31no—
1136C22⋊C4—91no—
1137C22⋊C4—91no—
1138C22⋊C4—91no—
1139C22⋊C4—91no—
1140C22⋊C4—91no—
1141C22⋊C4—91no—
1142C22×C3—21no—
1143C22×C3—21no—
1144C22×C3—21no—
1145C22×C3—21no—
1146C22×C3—21no—
1147C22×C3—21no—
1148C22×C3—22no—
1149C22×C3—21no—
1150C22×C3—21no—
1151C22×C3—21no—
1152C22×C3—21no—
1153C22×C3—21no—
1154C22×C3—21no—
1155C22×C3—21no—
1156C22×C3—21no—
1157C22×C3—21no—
1158C22×C3—21no—
1159C22×C3—21no—
1160C22×C3—21no—
1161C22×C3—22no—
1162C22×C3—22no—
1163C22×C3—22no—
1164C22×C3—32no—
1165C22×C3—32no—
1166C22×C3—32no—
1167C22×C3—32no—
1168C22×C3—32no—
1169C22×C3—32no—
1170C22×C3—32no—
1171C22×C3—32no—
1172C22×C3—41no—
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—41no—
1182C22×C3—41no—
1183C22×C3—41no—
1184C22×C3—41no—
1185C22×C3—41no—
1186C22×C3—42no—
1187C22×C3—41no—
1188C22×C3—42no—
1189C22×C3—62no—
1190C22×C3—62no—
1191C22×C3—62no—
1192C22×C3—62no—
1193C22×C3—68no—
1194C22×C3—68no—
1195C22×C3—62no—
1196C22×C3—61no—
1197C22×C3—61no—
1198C22×C3—61no—
1199C22×C3—61no—
1200C22×C3—61no—
1201C22×C3—61no—
1202C22×C3—61no—
1203C22×C3—61no—
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—81no—
1213C22×C3—81no—
1214C22×C3—81no—
1215C22×C3—81no—
1216C22×C3—121no—
1217C22×C3—121no—
1218C22×C3—121no—
1219C22×C3—121no—
1220C22×C3—121no—
1221C22×C3—121no—
1222C22×C3—121no—
1223C22×C3—128no—
1224C22×C3—124no—
1225C22×C3—124no—
1226C22×C3—128no—
1227C22×C3—181no—
1228C22×C3—181no—
1229C22×C3—181no—
1230C22×C3—364no—
1231C22×C3D3×#6712yescomplemented
1232C22×C3C3×D3×D412yescomplemented
1233C22×C3C2×C3×#6712yescomplemented
1234C22×C3C22×D3211yescharacteristic
1235C22×C3C23×C3×D311yescharacteristic
1236C22×C3C23×C3×D311yescharacteristic
1237C2×D3—21no—
1238C2×D3—21no—
1239C2×D3—28no—
1240C2×D3—21no—
1241C2×D3—21no—
1242C2×D3—21no—
1243C2×D3—21no—
1244C2×D3—21no—
1245C2×D3—21no—
1246C2×D3—44no—
1247C2×D3—61no—
1248C2×D3—61no—
1249C2×D3—61no—
1250C2×D3—61no—
1251C2×D3—61no—
1252C2×D3—61no—
1253C2×D3—121no—
1254C2×D3—121no—
1255C2×D3—121no—
1256C2×D3—124no—
1257C2×D3—124no—
1258C2×D3C3×D3×D412yes—
1259C2×D3C3×#23712yes—
1260C2×D3C2×C3×#6712yes—
1261C2×D3C2×C3×#6712yescomplemented
1262C3×C4—22no—
1263C3×C4—21no—
1264C3×C4—21no—
1265C3×C4—21no—
1266C3×C4—32no—
1267C3×C4—32no—
1268C3×C4—41no—
1269C3×C4—41no—
1270C3×C4—42no—
1271C3×C4—62no—
1272C3×C4—62no—
1273C3×C4—61no—
1274C3×C4—61no—
1275C3×C4—61no—
1276C3×C4—61no—
1277C3×C4—61no—
1278C3×C4—61no—
1279C3×C4—92no—
1280C3×C4—121no—
1281C3×C4—121no—
1282C3×C4—181no—
1283C3×C4—181no—
1284Dic3—21no—
1285Dic3—21no—
1286Dic3—21no—
1287Dic3—32no—
1288Dic3—32no—
1289Dic3—62no—
1290Dic3—61no—
1291Dic3—61no—
1292Dic3—61no—
1293Dic3—61no—
1294Dic3—121no—
1295Dic3—121no—
1296Dic3C3×D3×D412yescomplemented
1297C32—21no—
1298C32—21no—
1299C32—21no—
1300C32—41no—
1301C32D3×#12111yescharacteristic, complemented
1302C32C2×#93911yescharacteristic, complemented
1303C32C2×C3×#12111yescharacteristic, complemented
1304C23—31no—
1305C23—31no—
1306C23—34no—
1307C23—31no—
1308C23—31no—
1309C23—62no—
1310C23—62no—
1311C23—62no—
1312C23—62no—
1313C23—62no—
1314C23—91no—
1315C23—182no—
1316C23—182no—
1317C23—182no—
1318C23C2×C3×D3211yescharacteristic
1319C23C2×C3×D3211yescharacteristic
1320D4—22no—
1321D4—62no—
1322D4—62no—
1323D4—62no—
1324D4—62no—
1325D4—62no—
1326D4—182no—
1327D4—182no—
1328D4—182no—
1329D4—182no—
1330D4—182no—
1331D4—182no—
1332C2×C4—31no—
1333C2×C4—31no—
1334C2×C4—31no—
1335C2×C4—31no—
1336C2×C4—62no—
1337C2×C4—62no—
1338C2×C4—94no—
1339C2×C4—91no—
1340C2×C4—91no—
1341C2×C4—91no—
1342C2×C4—182no—
1343C2×C4—182no—
1344C2×C4—182no—
1345C2×C4—182no—
1346C2×C4—182no—
1347C2×C4C2×C3×D3211yescharacteristic
1348C2×C3—22no—
1349C2×C3—22no—
1350C2×C3—22no—
1351C2×C3—21no—
1352C2×C3—21no—
1353C2×C3—21no—
1354C2×C3—21no—
1355C2×C3—21no—
1356C2×C3—21no—
1357C2×C3—21no—
1358C2×C3—21no—
1359C2×C3—21no—
1360C2×C3—34no—
1361C2×C3—34no—
1362C2×C3—42no—
1363C2×C3—42no—
1364C2×C3—42no—
1365C2×C3—42no—
1366C2×C3—41no—
1367C2×C3—41no—
1368C2×C3—41no—
1369C2×C3—41no—
1370C2×C3—41no—
1371C2×C3—41no—
1372C2×C3—64no—
1373C2×C3—62no—
1374C2×C3—62no—
1375C2×C3—82no—
1376C2×C3—81no—
1377C2×C3—81no—
1378C2×C3—82no—
1379C2×C3—122no—
1380C2×C3—122no—
1381C2×C3—121no—
1382C2×C3—121no—
1383C2×C3—121no—
1384C2×C3—121no—
1385C2×C3—241no—
1386C2×C3—361no—
1387C2×C3D32×D411yescharacteristic
1388C2×C3D3×#23711yescharacteristic
1389C2×C3C2×D3×#6711yescharacteristic
1390C2×C3C2×C3×D3×D411yescharacteristic
1391C2×C3C2×C3×D3×D411yescharacteristic
1392C2×C3C2×C3×D3×D411yescharacteristic
1393C2×C3C2×C3×#23711yescharacteristic
1394C2×C3C3×D3×#4111yescharacteristic
1395C2×C3C22×C3×#6711yescharacteristic
1396D3—22no—
1397D3—41no—
1398D3—41no—
1399D3—121no—
1400D3—121no—
1401D3—241no—
1402D3C3×#93914yesdirect product factor
1403C22—21no—
1404C22—21no—
1405C22—21no—
1406C22—21no—
1407C22—21no—
1408C22—32no—
1409C22—32no—
1410C22—32no—
1411C22—32no—
1412C22—68no—
1413C22—61no—
1414C22—61no—
1415C22—61no—
1416C22—61no—
1417C22—61no—
1418C22—61no—
1419C22—61no—
1420C22—61no—
1421C22—124no—
1422C22—181no—
1423C22—181no—
1424C22—181no—
1425C22—364no—
1426C22C3×D3×#6712yescomplemented
1427C22C22×C3×D3211yescharacteristic
1428C4—21no—
1429C4—32no—
1430C4—61no—
1431C4—61no—
1432C4—61no—
1433C4—92no—
1434C4—181no—
1435C4—181no—
1436C3—21no—
1437C3—21no—
1438C3—21no—
1439C3—41no—
1440C3D3×#93911yescharacteristic, direct product factor
1441C3C3×D3×#12111yescharacteristic, complemented
1442C3C2×C3×#93911yescharacteristic, complemented
1443C2—22no—
1444C2—34no—
1445C2—41no—
1446C2—62no—
1447C2—121no—
1448C2—121no—
1449C2—361no—
1450C2C3×D32×D411yescharacteristic
1451C2C3×D3×#23711yescharacteristic
1452C2C2×C3×D3×#6711yescharacteristic
subgroupG/H
centerC22×C3C22×D32
commutator, cosocleC22×C32C24×C3
FrattiniC22C22×C3×D32
FittingC2×C33×D4C22
socleC22×C33C24
hypercenterC2×C3×D4D32
hypocenterC32C2×C3×#121
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C22×C3 ◁ C2×C3×D4

Complements

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

NH ≅ G/Ntype
1. C2×C32×D3×D4C2semidirect
2. C2×C3×D3×#67C2semidirect
3. C2×C3×D3×#67C2semidirect
4. C22×C3×D3×Dic3C2semidirect
5. C3×#64148C2semidirect
6. C32×#939C2semidirect
7. C3×#63980C2semidirect
8. C3×#63978C2semidirect
9. C3×#63971C2semidirect
10. C3×#63970C2semidirect
11. C3×D3×#217C2semidirect
12. C3×D3×(C2×D3)⋊C4C2semidirect
13. C3×#63886C2semidirect
14. C3×#63885C2semidirect
15. C3×D3×Dic3⋊C4C2semidirect
18. D3×#939C3direct (N × H)
22. C2×C33×D4C22semidirect
23. C2×C3×#638C22semidirect
24. C2×C3×#638C22semidirect
25. C22×C3×C3⋊Dic3C22semidirect
26. C2×C32×#67C22semidirect
27. C2×C32×#67C22semidirect
28. C2×C32×#67C22semidirect
29. C2×C32×#67C22semidirect
30. C22×C32×Dic3C22semidirect
32. C2×C32×D12C22semidirect
36. C2×C3×#626C22semidirect
37. C2×C3×#626C22semidirect
38. C2×C3×#625C22semidirect
39. C2×C3×#625C22semidirect
44. C2×C3×D3×Dic3C22semidirect
45. C2×C3×D3×Dic3C22semidirect
46. C3×#3757C22semidirect
47. C3×#3752C22semidirect
48. C3×#3750C22semidirect
49. C32×#217C22semidirect
50. C32×(C2×D3)⋊C4C22semidirect
51. C32×Dic3⋊C4C22semidirect
52. C3×#3724C22semidirect
53. C3×Dic3⋊Dic3C22semidirect
54. C3×#3722C22semidirect
55. C3×(C2×D3)⋊Dic3C22semidirect
56. C3×(C2×D3)⋊Dic3C22semidirect
57. C3×(C2×D3)⋊Dic3C22semidirect
65. C2×C3×D3×D4D3semidirect
66. C2×C3×D3×D4C2×C3semidirect
68. C2×D3×#67C2×C3semidirect
69. C2×D3×#67C2×C3semidirect
70. C22×D3×Dic3C2×C3semidirect
72. #64148C2×C3semidirect
85. C3×#939D3direct (N × H)
86. C3×#939C2×C3semidirect
97. #63980C2×C3semidirect
98. #63978C2×C3semidirect
99. #63971C2×C3semidirect
100. #63970C2×C3semidirect
101. D3×#217C2×C3semidirect
102. D3×(C2×D3)⋊C4C2×C3semidirect
103. #63886C2×C3semidirect
104. #63885C2×C3semidirect
105. D3×Dic3⋊C4C2×C3semidirect
114. C22×C32×D3D4semidirect
149. C3×D3×Dic3D4semidirect
174. C2×C32×D4C2×D3semidirect
175. C2×C32×D4C2×D3semidirect
176. C2×C32×D4C22×C3semidirect
179. C2×#638C22×C3semidirect
180. C2×#638C22×C3semidirect
181. C22×C3⋊Dic3C22×C3semidirect
200. C2×C3×#67C2×D3semidirect
201. C2×C3×#67C2×D3semidirect
202. C2×C3×#67C2×D3semidirect
203. C2×C3×#67C2×D3semidirect
204. C2×C3×#67C22×C3semidirect
205. C2×C3×#67C22×C3semidirect
206. C2×C3×#67C22×C3semidirect
207. C2×C3×#67C22×C3semidirect
218. C22×C3×Dic3C2×D3semidirect
219. C22×C3×Dic3C22×C3semidirect
228. C2×C3×D12C2×D3semidirect
229. C2×C3×D12C22×C3semidirect
241. C2×#626C22×C3semidirect
242. C2×#626C22×C3semidirect
243. C2×#625C22×C3semidirect
244. C2×#625C22×C3semidirect
249. C2×D3×Dic3C22×C3semidirect
250. C2×D3×Dic3C22×C3semidirect
254. #3757C22×C3semidirect
255. #3752C22×C3semidirect
256. #3750C22×C3semidirect
264. C3×#217C2×D3semidirect
265. C3×#217C22×C3semidirect
275. C3×(C2×D3)⋊C4C2×D3semidirect
276. C3×(C2×D3)⋊C4C22×C3semidirect
285. C3×Dic3⋊C4C2×D3semidirect
286. C3×Dic3⋊C4C22×C3semidirect
287. #3724C22×C3semidirect
288. Dic3⋊Dic3C22×C3semidirect
289. #3722C22×C3semidirect
290. (C2×D3)⋊Dic3C22×C3semidirect
291. (C2×D3)⋊Dic3C22×C3semidirect
292. (C2×D3)⋊Dic3C22×C3semidirect
298. C22×C33C2×D4semidirect
315. C2×C32×D3C2×D4semidirect
321. C3×C3⋊Dic3C2×D4semidirect
325. C32×Dic3C2×D4semidirect
337. C2×D3×D4C3×D3semidirect
363. #939C3×D3direct (N × H)
428. C22×C3×D3#67semidirect
429. C22×C3×D3C3×D4semidirect
549. D3×Dic3C3×D4semidirect
560. C32×D3#121semidirect
602. C2×C3×D4D32semidirect
603. C2×C3×D4C2×C3×D3semidirect
604. C2×C3×D4C2×C3×D3semidirect
632. C2×#67C2×C3×D3semidirect
633. C2×#67C2×C3×D3semidirect
634. C2×#67C2×C3×D3semidirect
635. C2×#67C2×C3×D3semidirect
645. C22×Dic3C2×C3×D3semidirect
651. C2×D12C2×C3×D3semidirect
683. #217C2×C3×D3semidirect
692. (C2×D3)⋊C4C2×C3×D3semidirect
700. Dic3⋊C4C2×C3×D3semidirect
758. C22×C32D3×D4semidirect
759. C22×C32C2×#67semidirect
760. C22×C32C2×C3×D4semidirect
815. C2×C3×D3C2×#67semidirect
818. C2×C3×D3C2×C3×D4semidirect
834. C3⋊Dic3C2×C3×D4semidirect
854. C3×Dic3D3×D4semidirect
855. C3×Dic3C2×C3×D4semidirect
871. C33C2×#121semidirect
934. C22×D3C3×#67semidirect
1101. C3×D3#939direct (N × H)
1102. C3×D3C3×#121semidirect
1120. C2×D4C3×D32semidirect
1231. C22×C3D3×#67semidirect
1232. C22×C3C3×D3×D4semidirect
1233. C22×C3C2×C3×#67semidirect
1261. C2×D3C2×C3×#67semidirect
1296. Dic3C3×D3×D4semidirect
1301. C32D3×#121semidirect
1302. C32C2×#939semidirect
1303. C32C2×C3×#121semidirect
1402. D3C3×#939direct (N × H)
1426. C22C3×D3×#67semidirect
1440. C3D3×#939direct (N × H)
1441. C3C3×D3×#121semidirect
1442. C3C2×C3×#939semidirect

Maximal subgroups

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

subgroupindex
C2×C32×D3×D42
C2×C3×D3×#672
C22×C3×D3×Dic32
C3×#641482
C32×#9392
C3×#639802
C3×#639782
C3×#639712
C3×#639702
C3×D3×#2172
C3×D3×(C2×D3)⋊C42
C3×#638862
C3×#638852
C3×D3×Dic3⋊C42
C2×C3×#9393
C3×D3×#1213
D3×#9393