Finite Group Databasebeta

← C67×#36779 #30716030

Subgroups — C67×#36779 #30716030

Order 17152.

1994 conjugacy classes of subgroups.

The subgroup lattice has 1600 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C67×#2852C211yesmaximal, characteristic, complemented
2C67×#2850C211yesmaximal, characteristic, complemented
3C67×#2781C211yesmaximal, characteristic, complemented
4C67×#2781C211yesmaximal, characteristic, complemented
5C67×#2778C211yesmaximal, characteristic, complemented
6C67×#2765C211yesmaximal, characteristic, complemented
7C67×#2764C211yesmaximal, characteristic, complemented
8C67×#2761C211yesmaximal, characteristic, complemented
9C67×#2756C211yesmaximal, characteristic, complemented
10C67×#2749C211yesmaximal, characteristic, complemented
11C67×#2743C211yesmaximal, characteristic, complemented
12C67×#2741C211yesmaximal, characteristic, complemented
13C67×#2735C211yesmaximal, characteristic, complemented
14C67×#2735C211yesmaximal, characteristic, complemented
15C67×#2730C211yesmaximal, characteristic, complemented
16C67×#2702C211yesmaximal, characteristic, complemented
17C67×#2685C211yesmaximal, characteristic, complemented
18C67×#2684C211yesmaximal, characteristic, complemented
19C67×#2623C211yesmaximal, characteristic, complemented
20C67×#2618C211yesmaximal, characteristic, complemented
21C67×#2510C211yesmaximal, characteristic, complemented
22C67×#2488C211yesmaximal, characteristic, complemented
23C67×#2444C211yesmaximal, characteristic, complemented
24C67×#2437C211yesmaximal, characteristic, complemented
25C67×#2425C211yesmaximal, characteristic, complemented
26C67×#2412C211yesmaximal, characteristic, complemented
27C67×#2410C211yesmaximal, characteristic
28C67×#2405C211yesmaximal, characteristic, complemented
29C67×#2321C211yesmaximal, characteristic, complemented
30C67×#2308C211yesmaximal, characteristic, complemented
31C2×#388×C67C211yesmaximal, characteristic, complemented
32C23×D4×C67C2211yescharacteristic
33C2×#126×C67C2211yescharacteristic, complemented
34C2×#124×C67C2211yescharacteristic, complemented
35C2×#123×C67C2211yescharacteristic
36C2×#123×C67C2211yescharacteristic
37C2×#123×C67C2211yescharacteristic, complemented
38C2×C22⋊Q8×C67C2211yescharacteristic, complemented
39C2×C22⋊Q8×C67C2211yescharacteristic, complemented
40C2×#121×C67C2211yescharacteristic
41C2×#121×C67C2211yescharacteristic
42C2×#120×C67C2211yescharacteristic
43C2×#120×C67C2211yescharacteristic
44C2×C4×D4×C67C2211yescharacteristic, complemented
45C22×C4⋊C4×C67C2211yescharacteristic, complemented
46C22×C22⋊C4×C67C2211yescharacteristic
47C22×C22⋊C4×C67C2211yescharacteristic
48C22×C22⋊C4×C67C2211yescharacteristic
49C22×C22⋊C4×C67C2211yescharacteristic
50C22×C42×C67C2211yescharacteristic, complemented
51#401×C67C2211yescharacteristic, complemented
52#400×C67C2211yescharacteristic, complemented
53#400×C67C2211yescharacteristic, complemented
54#400×C67C2211yescharacteristic, complemented
55#400×C67C2211yescharacteristic, complemented
56#400×C67C2211yescharacteristic, complemented
57#400×C67C2211yescharacteristic, complemented
58#399×C67C2211yescharacteristic
59#399×C67C2211yescharacteristic, complemented
60#399×C67C2211yescharacteristic, complemented
61#398×C67C2211yescharacteristic, complemented
62#398×C67C2211yescharacteristic, complemented
63#398×C67C2211yescharacteristic, complemented
64#398×C67C2211yescharacteristic, complemented
65#398×C67C2211yescharacteristic, complemented
66#397×C67C2211yescharacteristic
67#397×C67C2211yescharacteristic
68#397×C67C2211yescharacteristic, complemented
69#397×C67C2211yescharacteristic, complemented
70#397×C67C2211yescharacteristic, complemented
71#397×C67C2211yescharacteristic, complemented
72#397×C67C2211yescharacteristic, complemented
73#397×C67C2211yescharacteristic, complemented
74#397×C67C2211yescharacteristic, complemented
75#397×C67C2211yescharacteristic, complemented
76#396×C67C2211yescharacteristic
77#396×C67C2211yescharacteristic
78#396×C67C2211yescharacteristic, complemented
79#396×C67C2211yescharacteristic, complemented
80#396×C67C2211yescharacteristic, complemented
81#396×C67C2211yescharacteristic, complemented
82#396×C67C2211yescharacteristic, complemented
83#394×C67C2211yescharacteristic
84#394×C67C2211yescharacteristic
85#394×C67C2211yescharacteristic
86#394×C67C2211yescharacteristic
87#394×C67C2211yescharacteristic
88#394×C67C2211yescharacteristic
89#394×C67C2211yescharacteristic
90#394×C67C2211yescharacteristic
91#394×C67C2211yescharacteristic, complemented
92#394×C67C2211yescharacteristic, complemented
93#394×C67C2211yescharacteristic, complemented
94#394×C67C2211yescharacteristic, complemented
95#393×C67C2211yescharacteristic
96#393×C67C2211yescharacteristic, complemented
97#392×C67C2211yescharacteristic
98#392×C67C2211yescharacteristic
99#391×C67C2211yescharacteristic, complemented
100#391×C67C2211yescharacteristic, complemented
101#390×C67C2211yescharacteristic
102#390×C67C2211yescharacteristic, complemented
103#390×C67C2211yescharacteristic, complemented
104#389×C67C2211yescharacteristic, complemented
105#388×C67C2211yescharacteristic
106#388×C67C2211yescharacteristic
107#388×C67C2211yescharacteristic
108#388×C67C2211yescharacteristic
109#388×C67C2211yescharacteristic
110#388×C67C2211yescharacteristic
111#388×C67C2211yescharacteristic, complemented
112#388×C67C2211yescharacteristic, complemented
113#388×C67C2211yescharacteristic, complemented
114#388×C67C2211yescharacteristic, complemented
115#388×C67C2211yescharacteristic, complemented
116#388×C67C2211yescharacteristic, complemented
117#388×C67C2211yescharacteristic, complemented
118#388×C67C2211yescharacteristic, complemented
119#388×C67C2211yescharacteristic, complemented
120#388×C67C2211yescharacteristic, complemented
121#388×C67C2211yescharacteristic, complemented
122#388×C67C2211yescharacteristic, complemented
123#388×C67C2211yescharacteristic, complemented
124#388×C67C2211yescharacteristic, complemented
125#388×C67C2211yescharacteristic, complemented
126#388×C67C2211yescharacteristic, complemented
127#388×C67C2211yescharacteristic, complemented
128#388×C67C2211yescharacteristic, complemented
129#388×C67C2211yescharacteristic, complemented
130#387×C67C2211yescharacteristic, complemented
131#387×C67C2211yescharacteristic, complemented
132#387×C67C2211yescharacteristic, complemented
133#387×C67C2211yescharacteristic, complemented
134#387×C67C2211yescharacteristic, complemented
135#386×C67C2211yescharacteristic
136#386×C67C2211yescharacteristic
137#386×C67C2211yescharacteristic
138#386×C67C2211yescharacteristic
139#386×C67C2211yescharacteristic
140#386×C67C2211yescharacteristic
141#386×C67C2211yescharacteristic
142#386×C67C2211yescharacteristic
143#386×C67C2211yescharacteristic
144#386×C67C2211yescharacteristic
145#386×C67C2211yescharacteristic
146#386×C67C2211yescharacteristic
147#386×C67C2211yescharacteristic
148#386×C67C2211yescharacteristic
149#386×C67C2211yescharacteristic, complemented
150#386×C67C2211yescharacteristic, complemented
151#386×C67C2211yescharacteristic, complemented
152#386×C67C2211yescharacteristic, complemented
153#386×C67C2211yescharacteristic, complemented
154#386×C67C2211yescharacteristic, complemented
155#386×C67C2211yescharacteristic, complemented
156#385×C67C2211yescharacteristic
157#385×C67C2211yescharacteristic
158#385×C67C2211yescharacteristic
159#385×C67C2211yescharacteristic, complemented
160#385×C67C2211yescharacteristic, complemented
161#385×C67C2211yescharacteristic, complemented
162#385×C67C2211yescharacteristic, complemented
163#385×C67C2211yescharacteristic, complemented
164#385×C67C2211yescharacteristic, complemented
165#383×C67C2211yescharacteristic, complemented
166#383×C67C2211yescharacteristic, complemented
167#382×C67C2211yescharacteristic, complemented
168#382×C67C2211yescharacteristic, complemented
169#381×C67C2211yescharacteristic
170#381×C67C2211yescharacteristic
171#381×C67C2211yescharacteristic, complemented
172#381×C67C2211yescharacteristic, complemented
173#380×C67C2211yescharacteristic, complemented
174#380×C67C2211yescharacteristic, complemented
175#380×C67C2211yescharacteristic, complemented
176#380×C67C2211yescharacteristic, complemented
177#380×C67C2211yescharacteristic, complemented
178#379×C67C2211yescharacteristic
179#379×C67C2211yescharacteristic
180#379×C67C2211yescharacteristic
181#379×C67C2211yescharacteristic
182#379×C67C2211yescharacteristic
183#379×C67C2211yescharacteristic
184C4×C22⋊C4×C67C2211yescharacteristic, complemented
185C2×#95×C67C2211yescharacteristic, complemented
186C2×#95×C67C2211yescharacteristic, complemented
187C25×C67C2311yescharacteristic
188C25×C67C2311yescharacteristic
189C22×Q8×C67C2311yescharacteristic
190C22×D4×C67—24no—
191C22×D4×C67—42no—
192C22×D4×C67—42no—
193C22×D4×C67C2311yescharacteristic
194C22×D4×C67C2311yescharacteristic
195C22×D4×C67C2311yescharacteristic
196C22×D4×C67C2311yescharacteristic
197C22×D4×C67C2311yescharacteristic
198C22×D4×C67C2311yescharacteristic
199C22×D4×C67C2311yescharacteristic
200C22×D4×C67C2311yescharacteristic
201C22×D4×C67C2311yescharacteristic
202C23×C4×C67C2311yescharacteristic
203C23×C4×C67C2311yescharacteristic
204C23×C4×C67C2311yescharacteristic
205C23×C4×C67C2311yescharacteristic
206C23×C4×C67C2311yescharacteristic
207C23×C4×C67C2311yescharacteristic
208C23×C4×C67C2311yescharacteristic
209C23×C4×C67C2311yescharacteristic
210C23×C4×C67C2311yescharacteristic
211C23×C4×C67C2311yescharacteristic
212#126×C67—42no—
213#124×C67—42no—
214#123×C67—42no—
215#123×C67—42no—
216#123×C67—42no—
217C22⋊Q8×C67—42no—
218C22⋊Q8×C67—42no—
219#121×C67—42no—
220#121×C67—42no—
221#120×C67—24no—
222#120×C67—42no—
223C4×D4×C67—42no—
224C2×C4⋊C4×C67—42no—
225C2×C4⋊C4×C67C2311yescharacteristic
226C2×C4⋊C4×C67C2311yescharacteristic
227C2×C4⋊C4×C67C2311yescharacteristic
228C2×C4⋊C4×C67C2311yescharacteristic
229C2×C4⋊C4×C67C2311yescharacteristic
230C2×C4⋊C4×C67C2311yescharacteristic
231C2×C4⋊C4×C67C2311yescharacteristic
232C2×C4⋊C4×C67C2311yescharacteristic
233C2×C4⋊C4×C67C2311yescharacteristic
234C2×C4⋊C4×C67C2311yescharacteristic
235C2×C4⋊C4×C67C2311yescharacteristic
236C2×C4⋊C4×C67C2311yescharacteristic
237C2×C4⋊C4×C67C2311yescharacteristic
238C2×C4⋊C4×C67C2311yescharacteristic
239C2×C4⋊C4×C67C2311yescharacteristic
240C2×C4⋊C4×C67C2311yescharacteristic
241C2×C4⋊C4×C67C2311yescharacteristic
242C2×C4⋊C4×C67C2311yescharacteristic
243C2×C4⋊C4×C67C2311yescharacteristic
244C2×C4⋊C4×C67C2311yescharacteristic
245C2×C4⋊C4×C67C2311yescharacteristic
246C2×C4⋊C4×C67C2311yescharacteristic
247C2×C4⋊C4×C67C2311yescharacteristic
248C2×C4⋊C4×C67C2311yescharacteristic
249C2×C4⋊C4×C67C2311yescharacteristic
250C2×C4⋊C4×C67C2311yescharacteristic
251C2×C22⋊C4×C67—24no—
252C2×C22⋊C4×C67—42no—
253C2×C22⋊C4×C67—42no—
254C2×C22⋊C4×C67—42no—
255C2×C22⋊C4×C67C2311yescharacteristic
256C2×C22⋊C4×C67C2311yescharacteristic
257C2×C22⋊C4×C67C2311yescharacteristic
258C2×C22⋊C4×C67C2311yescharacteristic
259C2×C22⋊C4×C67C2311yescharacteristic
260C2×C22⋊C4×C67C2311yescharacteristic
261C2×C22⋊C4×C67C2311yescharacteristic
262C2×C22⋊C4×C67C2311yescharacteristic
263C2×C22⋊C4×C67C2311yescharacteristic
264C2×C22⋊C4×C67C2311yescharacteristic
265C2×C22⋊C4×C67C2311yescharacteristic
266C2×C22⋊C4×C67C2311yescharacteristic
267C2×C22⋊C4×C67C2311yescharacteristic
268C2×C22⋊C4×C67C2311yescharacteristic
269C2×C22⋊C4×C67C2311yescharacteristic
270C2×C22⋊C4×C67C2311yescharacteristic
271C2×C22⋊C4×C67C2311yescharacteristic
272C2×C22⋊C4×C67C2311yescharacteristic
273C2×C22⋊C4×C67C2311yescharacteristic
274C2×C22⋊C4×C67C2311yescharacteristic
275C2×C22⋊C4×C67C2311yescharacteristic
276C2×C22⋊C4×C67C2311yescharacteristic
277C2×C22⋊C4×C67C2311yescharacteristic
278C2×C22⋊C4×C67C2311yescharacteristic
279C2×C22⋊C4×C67C2311yescharacteristic
280C2×C22⋊C4×C67C2311yescharacteristic
281C2×C22⋊C4×C67C2311yescharacteristic
282C2×C22⋊C4×C67C2311yescharacteristic
283C2×C22⋊C4×C67C2311yescharacteristic
284C2×C22⋊C4×C67C2311yescharacteristic
285C2×C22⋊C4×C67C2311yescharacteristic
286C2×C22⋊C4×C67C2311yescharacteristic
287C2×C22⋊C4×C67C2311yescharacteristic
288C2×C22⋊C4×C67C2311yescharacteristic
289C2×C22⋊C4×C67C2311yescharacteristic
290C2×C22⋊C4×C67C2311yescharacteristic
291C2×C22⋊C4×C67C2311yescharacteristic
292C2×C22⋊C4×C67C2311yescharacteristic
293C2×C22⋊C4×C67C2311yescharacteristic
294C2×C22⋊C4×C67C2311yescharacteristic
295C2×C22⋊C4×C67C2311yescharacteristic
296C2×C22⋊C4×C67C2311yescharacteristic
297C2×C22⋊C4×C67C2311yescharacteristic
298C2×C22⋊C4×C67C2311yescharacteristic
299C2×C22⋊C4×C67C2311yescharacteristic
300C2×C22⋊C4×C67C2311yescharacteristic
301C2×C22⋊C4×C67C2311yescharacteristic
302C2×C22⋊C4×C67C2311yescharacteristic
303C2×C22⋊C4×C67C2311yescharacteristic
304C2×C22⋊C4×C67C2311yescharacteristic
305C2×C22⋊C4×C67C2311yescharacteristic
306C2×C22⋊C4×C67C2311yescharacteristic
307C2×C22⋊C4×C67C2311yescharacteristic
308C2×C22⋊C4×C67C2311yescharacteristic
309C2×C22⋊C4×C67C2311yescharacteristic
310C2×C22⋊C4×C67C2311yescharacteristic
311C2×C42×C67—42no—
312C2×C42×C67C2311yescharacteristic
313C2×C42×C67C2311yescharacteristic
314C2×C42×C67C2311yescharacteristic
315C2×C42×C67C2311yescharacteristic
316C2×C42×C67C2311yescharacteristic
317C2×C42×C67C2311yescharacteristic
318C2×C42×C67C2311yescharacteristic
319#95×C67C2311yescharacteristic
320#95×C67C2311yescharacteristic
321#95×C67C2311yescharacteristic
322#95×C67C2311yescharacteristic
323#95×C67C2311yescharacteristic
324#95×C67C2311yescharacteristic
325#95×C67C2311yescharacteristic
326#95×C67C2311yescharacteristic
327#95×C67C2311yescharacteristic
328#95×C67C2311yescharacteristic
329#95×C67C2311yescharacteristic
330#95×C67C2311yescharacteristic
331#95×C67C2311yescharacteristic
332#95×C67C2311yescharacteristic
333#95×C67C2311yescharacteristic
334#95×C67C2311yescharacteristic
335#95×C67C2311yescharacteristic
336#95×C67C2311yescharacteristic
337#95×C67C2311yescharacteristic
338#95×C67C2311yescharacteristic
339#95×C67C2311yescharacteristic
340#95×C67C2311yescharacteristic
341#95×C67C2311yescharacteristic
342#95×C67C2311yescharacteristic
343#95×C67C2311yescharacteristic
344#95×C67C2311yescharacteristic
345#95×C67C2311yescharacteristic
346#95×C67C2311yescharacteristic
347#95×C67C2311yescharacteristic
348#95×C67C2311yescharacteristic
349#95×C67C2311yescharacteristic
350#95×C67C2311yescharacteristic
351#95×C67C2311yescharacteristic
352#95×C67C2311yescharacteristic
353#95×C67C2311yescharacteristic
354#95×C67C2311yescharacteristic
355#95×C67C2311yescharacteristic
356#95×C67C2311yescharacteristic
357#95×C67C2311yescharacteristic
358#95×C67C2311yescharacteristic
359#95×C67C2311yescharacteristic
360#95×C67C2311yescharacteristic
361#95×C67C2311yescharacteristic
362#95×C67C2311yescharacteristic
363C24×C67—22no—
364C24×C67—22no—
365C24×C67—22no—
366C24×C67—41no—
367C24×C67—41no—
368C24×C67—41no—
369C24×C67—41no—
370C24×C67—41no—
371C24×C67—41no—
372C24×C67—41no—
373C24×C67—41no—
374C24×C67—41no—
375C24×C67—41no—
376C24×C67#4114yes—
377C24×C67C2411yescharacteristic
378C24×C67C2411yescharacteristic
379C24×C67C2411yescharacteristic
380C24×C67C2411yescharacteristic
381C24×C67C2411yescharacteristic
382C24×C67C2411yescharacteristic
383C2×Q8×C67—22no—
384C2×Q8×C67—41no—
385C2×Q8×C67—41no—
386C2×D4×C67—22no—
387C2×D4×C67—22no—
388C2×D4×C67—22no—
389C2×D4×C67—22no—
390C2×D4×C67—22no—
391C2×D4×C67—22no—
392C2×D4×C67—22no—
393C2×D4×C67—22no—
394C2×D4×C67—22no—
395C2×D4×C67—22no—
396C2×D4×C67—22no—
397C2×D4×C67—22no—
398C2×D4×C67—22no—
399C2×D4×C67—22no—
400C2×D4×C67—41no—
401C2×D4×C67—41no—
402C2×D4×C67—41no—
403C2×D4×C67—41no—
404C2×D4×C67—41no—
405C2×D4×C67—41no—
406C2×D4×C67—41no—
407C2×D4×C67—41no—
408C2×D4×C67—41no—
409C2×D4×C67—41no—
410C2×D4×C67—41no—
411C2×D4×C67—41no—
412C2×D4×C67—41no—
413C2×D4×C67—416no—
414C22×C4×C67—22no—
415C22×C4×C67—22no—
416C22×C4×C67—22no—
417C22×C4×C67—22no—
418C22×C4×C67—22no—
419C22×C4×C67—22no—
420C22×C4×C67—22no—
421C22×C4×C67—22no—
422C22×C4×C67—22no—
423C22×C4×C67—22no—
424C22×C4×C67—41no—
425C22×C4×C67—41no—
426C22×C4×C67—41no—
427C22×C4×C67—41no—
428C22×C4×C67—41no—
429C22×C4×C67—41no—
430C22×C4×C67—41no—
431C22×C4×C67—41no—
432C22×C4×C67—41no—
433C22×C4×C67—41no—
434C22×C4×C67—41no—
435C22×C4×C67—41no—
436C22×C4×C67—41no—
437C22×C4×C67—41no—
438C22×C4×C67—41no—
439C22×C4×C67—41no—
440C22×C4×C67—41no—
441C22×C4×C67—41no—
442C22×C4×C67—41no—
443C22×C4×C67—41no—
444C22×C4×C67C2411yescharacteristic
445C22×C4×C67C2411yescharacteristic
446C22×C4×C67C2411yescharacteristic
447C22×C4×C67C2411yescharacteristic
448C22×C4×C67C2411yescharacteristic
449C22×C4×C67C2411yescharacteristic
450C22×C4×C67C2411yescharacteristic
451C22×C4×C67C2411yescharacteristic
452C22×C4×C67C2411yescharacteristic
453C22×C4×C67C2411yescharacteristic
454C22×C4×C67C2411yescharacteristic
455C22×C4×C67C2411yescharacteristic
456C22×C4×C67C2411yescharacteristic
457C22×C4×C67C2411yescharacteristic
458C22×C4×C67C2411yescharacteristic
459C22×C4×C67C2411yescharacteristic
460C22×C4×C67C2411yescharacteristic
461C22×C4×C67C2411yescharacteristic
462C22×C4×C67C2411yescharacteristic
463C22×C4×C67C2411yescharacteristic
464C22×C4×C67C2411yescharacteristic
465C22×C4×C67C2411yescharacteristic
466C22×C4×C67C2411yescharacteristic
467C22×C4×C67C2411yescharacteristic
468C22×C4×C67C2411yescharacteristic
469C4⋊C4×C67—22no—
470C4⋊C4×C67—41no—
471C4⋊C4×C67—41no—
472C4⋊C4×C67—41no—
473C4⋊C4×C67—41no—
474C4⋊C4×C67—41no—
475C4⋊C4×C67—41no—
476C4⋊C4×C67—41no—
477C4⋊C4×C67—41no—
478C4⋊C4×C67—41no—
479C4⋊C4×C67—41no—
480C4⋊C4×C67—41no—
481C4⋊C4×C67—41no—
482C4⋊C4×C67—41no—
483C4⋊C4×C67—41no—
484C4⋊C4×C67—41no—
485C4⋊C4×C67—41no—
486C4⋊C4×C67—41no—
487C4⋊C4×C67—41no—
488C4⋊C4×C67—41no—
489C4⋊C4×C67—41no—
490C4⋊C4×C67—41no—
491C4⋊C4×C67—41no—
492C4⋊C4×C67—41no—
493C4⋊C4×C67—41no—
494C4⋊C4×C67—41no—
495C22⋊C4×C67—22no—
496C22⋊C4×C67—22no—
497C22⋊C4×C67—22no—
498C22⋊C4×C67—22no—
499C22⋊C4×C67—22no—
500C22⋊C4×C67—22no—
501C22⋊C4×C67—22no—
502C22⋊C4×C67—22no—
503C22⋊C4×C67—22no—
504C22⋊C4×C67—22no—
505C22⋊C4×C67—22no—
506C22⋊C4×C67—22no—
507C22⋊C4×C67—22no—
508C22⋊C4×C67—22no—
509C22⋊C4×C67—41no—
510C22⋊C4×C67—41no—
511C22⋊C4×C67—41no—
512C22⋊C4×C67—41no—
513C22⋊C4×C67—41no—
514C22⋊C4×C67—41no—
515C22⋊C4×C67—41no—
516C22⋊C4×C67—41no—
517C22⋊C4×C67—41no—
518C22⋊C4×C67—41no—
519C22⋊C4×C67—41no—
520C22⋊C4×C67—41no—
521C22⋊C4×C67—41no—
522C22⋊C4×C67—41no—
523C22⋊C4×C67—41no—
524C22⋊C4×C67—41no—
525C22⋊C4×C67—41no—
526C22⋊C4×C67—41no—
527C22⋊C4×C67—41no—
528C22⋊C4×C67—41no—
529C22⋊C4×C67—41no—
530C22⋊C4×C67—41no—
531C22⋊C4×C67—41no—
532C22⋊C4×C67—41no—
533C22⋊C4×C67—41no—
534C22⋊C4×C67—41no—
535C22⋊C4×C67—41no—
536C22⋊C4×C67—41no—
537C22⋊C4×C67—41no—
538C22⋊C4×C67—41no—
539C22⋊C4×C67—41no—
540C22⋊C4×C67—41no—
541C22⋊C4×C67—41no—
542C22⋊C4×C67—41no—
543C22⋊C4×C67—41no—
544C22⋊C4×C67—41no—
545C22⋊C4×C67—41no—
546C22⋊C4×C67—41no—
547C22⋊C4×C67—41no—
548C22⋊C4×C67—41no—
549C22⋊C4×C67—41no—
550C22⋊C4×C67—41no—
551C42×C67—22no—
552C42×C67—22no—
553C42×C67—41no—
554C42×C67—41no—
555C42×C67—41no—
556C42×C67—41no—
557C42×C67—41no—
558C23×C67—21no—
559C23×C67—21no—
560C23×C67—21no—
561C23×C67—21no—
562C23×C67—21no—
563C23×C67—21no—
564C23×C67—21no—
565C23×C67—21no—
566C23×C67—21no—
567C23×C67—21no—
568C23×C67—21no—
569C23×C67—21no—
570C23×C67—21no—
571C23×C67—21no—
572C23×C67—21no—
573C23×C67—21no—
574C23×C67—28no—
575C23×C67—21no—
576C23×C67—21no—
577C23×C67—21no—
578C23×C67—21no—
579C23×C67—21no—
580C23×C67—21no—
581C23×C67—21no—
582C23×C67—21no—
583C23×C67—21no—
584C23×C67—21no—
585C23×C67—21no—
586C23×C67—21no—
587C23×C67—21no—
588C23×C67—21no—
589C23×C67—21no—
590C23×C67—21no—
591C23×C67—21no—
592C23×C67—21no—
593C23×C67—21no—
594C23×C67—21no—
595C23×C67—21no—
596C23×C67—44no—
597C23×C67—44no—
598C23×C67—44no—
599C23×C67—82no—
600C23×C67—82no—
601C23×C67—82no—
602C23×C67—82no—
603C23×C67—82no—
604C23×C67—82no—
605C23×C67—82no—
606C23×C67—82no—
607C23×C67—82no—
608C23×C67—82no—
609C23×C67C2×#4112yes—
610C23×C67C2×#4112yes—
611C23×C67C2×#4112yes—
612C23×C67H(5,𝔽2)12yes—
613C23×C67H(5,𝔽2)12yes—
614C23×C67C2511yescharacteristic
615Q8×C67—82no—
616D4×C67—44no—
617D4×C67—44no—
618D4×C67—44no—
619D4×C67—44no—
620D4×C67—44no—
621D4×C67—82no—
622D4×C67—82no—
623D4×C67—82no—
624D4×C67—82no—
625C2×C4×C67—21no—
626C2×C4×C67—21no—
627C2×C4×C67—21no—
628C2×C4×C67—21no—
629C2×C4×C67—21no—
630C2×C4×C67—21no—
631C2×C4×C67—21no—
632C2×C4×C67—21no—
633C2×C4×C67—21no—
634C2×C4×C67—21no—
635C2×C4×C67—21no—
636C2×C4×C67—21no—
637C2×C4×C67—21no—
638C2×C4×C67—21no—
639C2×C4×C67—21no—
640C2×C4×C67—21no—
641C2×C4×C67—21no—
642C2×C4×C67—21no—
643C2×C4×C67—21no—
644C2×C4×C67—21no—
645C2×C4×C67—21no—
646C2×C4×C67—21no—
647C2×C4×C67—21no—
648C2×C4×C67—21no—
649C2×C4×C67—21no—
650C2×C4×C67—21no—
651C2×C4×C67—21no—
652C2×C4×C67—21no—
653C2×C4×C67—21no—
654C2×C4×C67—21no—
655C2×C4×C67—21no—
656C2×C4×C67—21no—
657C2×C4×C67—21no—
658C2×C4×C67—21no—
659C2×C4×C67—21no—
660C2×C4×C67—21no—
661C2×C4×C67—21no—
662C2×C4×C67—21no—
663C2×C4×C67—21no—
664C2×C4×C67—21no—
665C2×C4×C67—21no—
666C2×C4×C67—21no—
667C2×C4×C67—21no—
668C2×C4×C67—21no—
669C2×C4×C67—21no—
670C2×C4×C67—21no—
671C2×C4×C67—21no—
672C2×C4×C67—21no—
673C2×C4×C67—21no—
674C2×C4×C67—21no—
675C2×C4×C67—21no—
676C2×C4×C67—21no—
677C2×C4×C67—21no—
678C2×C4×C67—21no—
679C2×C4×C67—21no—
680C2×C4×C67—21no—
681C2×C4×C67—21no—
682C2×C4×C67—21no—
683C2×C4×C67—21no—
684C2×C4×C67—21no—
685C2×C4×C67—21no—
686C2×C4×C67—21no—
687C2×C4×C67—21no—
688C2×C4×C67—21no—
689C2×C4×C67—21no—
690C2×C4×C67—21no—
691C2×C4×C67—21no—
692C2×C4×C67—21no—
693C2×C4×C67—21no—
694C2×C4×C67—21no—
695C2×C4×C67—21no—
696C2×C4×C67—21no—
697C2×C4×C67—21no—
698C2×C4×C67—21no—
699C2×C4×C67—44no—
700C2×C4×C67—44no—
701C2×C4×C67—44no—
702C2×C4×C67—44no—
703C2×C4×C67—44no—
704C2×C4×C67—82no—
705C2×C4×C67—82no—
706C2×C4×C67—82no—
707C2×C4×C67—82no—
708C2×C4×C67—82no—
709C2×C4×C67H(5,𝔽2)12yes—
710C22×C67—22no—
711C22×C67—22no—
712C22×C67—22no—
713C22×C67—22no—
714C22×C67—22no—
715C22×C67—22no—
716C22×C67—22no—
717C22×C67—22no—
718C22×C67—22no—
719C22×C67—22no—
720C22×C67—22no—
721C22×C67—22no—
722C22×C67—41no—
723C22×C67—41no—
724C22×C67—41no—
725C22×C67—41no—
726C22×C67—41no—
727C22×C67—41no—
728C22×C67—41no—
729C22×C67—41no—
730C22×C67—41no—
731C22×C67—41no—
732C22×C67—41no—
733C22×C67—41no—
734C22×C67—41no—
735C22×C67—41no—
736C22×C67—41no—
737C22×C67—41no—
738C22×C67—41no—
739C22×C67—41no—
740C22×C67—41no—
741C22×C67—41no—
742C22×C67—41no—
743C22×C67—41no—
744C22×C67—41no—
745C22×C67—41no—
746C22×C67—41no—
747C22×C67—41no—
748C22×C67—41no—
749C22×C67—41no—
750C22×C67—41no—
751C22×C67—88no—
752C22×C67—88no—
753C22×C67#53814yes—
754C22×C67C22×#4111yescharacteristic
755C22×C67C2×H(5,𝔽2)11yescharacteristic
756C22×C67C2×H(5,𝔽2)11yescharacteristic
757C22×C67C2×H(5,𝔽2)11yescharacteristic
758C22×C67#58511yescharacteristic
759C22×C67#58511yescharacteristic
760C22×C67#58511yescharacteristic
761C4×C67—22no—
762C4×C67—41no—
763C4×C67—41no—
764C4×C67—41no—
765C4×C67—41no—
766C4×C67—41no—
767C4×C67—41no—
768C4×C67—41no—
769C4×C67—41no—
770C4×C67—41no—
771C4×C67—41no—
772C4×C67—41no—
773C4×C67—41no—
774C4×C67—41no—
775C4×C67—41no—
776C4×C67—41no—
777C4×C67—41no—
778C4×C67—41no—
779C4×C67—41no—
780C4×C67—41no—
781C4×C67—41no—
782C4×C67—41no—
783C4×C67—41no—
784C4×C67—41no—
785C4×C67—41no—
786#36779C6711yesmaximal, characteristic, direct product factor, Sylow
787C2×C67—24no—
788C2×C67—42no—
789C2×C67—42no—
790C2×C67—81no—
791C2×C67—81no—
792C2×C67—81no—
793C2×C67C2×#53811yescharacteristic
794C2×C67#349111yescharacteristic
795C2×C67#350511yescharacteristic
796C2×C67#353411yescharacteristic
797C2×C67#354211yescharacteristic
798C2×C67#354511yescharacteristic
799C2×C67#356011yescharacteristic
800#2852C2×C6711yescharacteristic, complemented
801#2850C2×C6711yescharacteristic, complemented
802#2781C2×C6711yescharacteristic, complemented
803#2781C2×C6711yescharacteristic, complemented
804#2778C2×C6711yescharacteristic, complemented
805#2765C2×C6711yescharacteristic, complemented
806#2764C2×C6711yescharacteristic, complemented
807#2761C2×C6711yescharacteristic, complemented
808#2756C2×C6711yescharacteristic, complemented
809#2749C2×C6711yescharacteristic, complemented
810#2743C2×C6711yescharacteristic, complemented
811#2741C2×C6711yescharacteristic, complemented
812#2735C2×C6711yescharacteristic, complemented
813#2735C2×C6711yescharacteristic, complemented
814#2730C2×C6711yescharacteristic, complemented
815#2702C2×C6711yescharacteristic, complemented
816#2685C2×C6711yescharacteristic, complemented
817#2684C2×C6711yescharacteristic, complemented
818#2623C2×C6711yescharacteristic, complemented
819#2618C2×C6711yescharacteristic, complemented
820#2510C2×C6711yescharacteristic, complemented
821#2488C2×C6711yescharacteristic, complemented
822#2444C2×C6711yescharacteristic, complemented
823#2437C2×C6711yescharacteristic, complemented
824#2425C2×C6711yescharacteristic, complemented
825#2412C2×C6711yescharacteristic, complemented
826#2410C2×C6711yescharacteristic
827#2405C2×C6711yescharacteristic, complemented
828#2321C2×C6711yescharacteristic, complemented
829#2308C2×C6711yescharacteristic, complemented
830C2×#388C2×C6711yescharacteristic, complemented
831C67#3677911yescharacteristic, direct product factor, Sylow
832C23×D4C22×C6711yescharacteristic
833C2×#126C22×C6711yescharacteristic, complemented
834C2×#124C22×C6711yescharacteristic, complemented
835C2×#123C22×C6711yescharacteristic
836C2×#123C22×C6711yescharacteristic
837C2×#123C22×C6711yescharacteristic, complemented
838C2×C22⋊Q8C22×C6711yescharacteristic, complemented
839C2×C22⋊Q8C22×C6711yescharacteristic, complemented
840C2×#121C22×C6711yescharacteristic
841C2×#121C22×C6711yescharacteristic
842C2×#120C22×C6711yescharacteristic
843C2×#120C22×C6711yescharacteristic
844C2×C4×D4C22×C6711yescharacteristic, complemented
845C22×C4⋊C4C22×C6711yescharacteristic, complemented
846C22×C22⋊C4C22×C6711yescharacteristic
847C22×C22⋊C4C22×C6711yescharacteristic
848C22×C22⋊C4C22×C6711yescharacteristic
849C22×C22⋊C4C22×C6711yescharacteristic
850C22×C42C22×C6711yescharacteristic, complemented
851#401C22×C6711yescharacteristic, complemented
852#400C22×C6711yescharacteristic, complemented
853#400C22×C6711yescharacteristic, complemented
854#400C22×C6711yescharacteristic, complemented
855#400C22×C6711yescharacteristic, complemented
856#400C22×C6711yescharacteristic, complemented
857#400C22×C6711yescharacteristic, complemented
858#399C22×C6711yescharacteristic
859#399C22×C6711yescharacteristic, complemented
860#399C22×C6711yescharacteristic, complemented
861#398C22×C6711yescharacteristic, complemented
862#398C22×C6711yescharacteristic, complemented
863#398C22×C6711yescharacteristic, complemented
864#398C22×C6711yescharacteristic, complemented
865#398C22×C6711yescharacteristic, complemented
866#397C22×C6711yescharacteristic
867#397C22×C6711yescharacteristic
868#397C22×C6711yescharacteristic, complemented
869#397C22×C6711yescharacteristic, complemented
870#397C22×C6711yescharacteristic, complemented
871#397C22×C6711yescharacteristic, complemented
872#397C22×C6711yescharacteristic, complemented
873#397C22×C6711yescharacteristic, complemented
874#397C22×C6711yescharacteristic, complemented
875#397C22×C6711yescharacteristic, complemented
876#396C22×C6711yescharacteristic
877#396C22×C6711yescharacteristic
878#396C22×C6711yescharacteristic, complemented
879#396C22×C6711yescharacteristic, complemented
880#396C22×C6711yescharacteristic, complemented
881#396C22×C6711yescharacteristic, complemented
882#396C22×C6711yescharacteristic, complemented
883#394C22×C6711yescharacteristic
884#394C22×C6711yescharacteristic
885#394C22×C6711yescharacteristic
886#394C22×C6711yescharacteristic
887#394C22×C6711yescharacteristic
888#394C22×C6711yescharacteristic
889#394C22×C6711yescharacteristic
890#394C22×C6711yescharacteristic
891#394C22×C6711yescharacteristic, complemented
892#394C22×C6711yescharacteristic, complemented
893#394C22×C6711yescharacteristic, complemented
894#394C22×C6711yescharacteristic, complemented
895#393C22×C6711yescharacteristic
896#393C22×C6711yescharacteristic, complemented
897#392C22×C6711yescharacteristic
898#392C22×C6711yescharacteristic
899#391C22×C6711yescharacteristic, complemented
900#391C22×C6711yescharacteristic, complemented
901#390C22×C6711yescharacteristic
902#390C22×C6711yescharacteristic, complemented
903#390C22×C6711yescharacteristic, complemented
904#389C22×C6711yescharacteristic, complemented
905#388C22×C6711yescharacteristic
906#388C22×C6711yescharacteristic
907#388C22×C6711yescharacteristic
908#388C22×C6711yescharacteristic
909#388C22×C6711yescharacteristic
910#388C22×C6711yescharacteristic
911#388C22×C6711yescharacteristic, complemented
912#388C22×C6711yescharacteristic, complemented
913#388C22×C6711yescharacteristic, complemented
914#388C22×C6711yescharacteristic, complemented
915#388C22×C6711yescharacteristic, complemented
916#388C22×C6711yescharacteristic, complemented
917#388C22×C6711yescharacteristic, complemented
918#388C22×C6711yescharacteristic, complemented
919#388C22×C6711yescharacteristic, complemented
920#388C22×C6711yescharacteristic, complemented
921#388C22×C6711yescharacteristic, complemented
922#388C22×C6711yescharacteristic, complemented
923#388C22×C6711yescharacteristic, complemented
924#388C22×C6711yescharacteristic, complemented
925#388C22×C6711yescharacteristic, complemented
926#388C22×C6711yescharacteristic, complemented
927#388C22×C6711yescharacteristic, complemented
928#388C22×C6711yescharacteristic, complemented
929#388C22×C6711yescharacteristic, complemented
930#387C22×C6711yescharacteristic, complemented
931#387C22×C6711yescharacteristic, complemented
932#387C22×C6711yescharacteristic, complemented
933#387C22×C6711yescharacteristic, complemented
934#387C22×C6711yescharacteristic, complemented
935#386C22×C6711yescharacteristic
936#386C22×C6711yescharacteristic
937#386C22×C6711yescharacteristic
938#386C22×C6711yescharacteristic
939#386C22×C6711yescharacteristic
940#386C22×C6711yescharacteristic
941#386C22×C6711yescharacteristic
942#386C22×C6711yescharacteristic
943#386C22×C6711yescharacteristic
944#386C22×C6711yescharacteristic
945#386C22×C6711yescharacteristic
946#386C22×C6711yescharacteristic
947#386C22×C6711yescharacteristic
948#386C22×C6711yescharacteristic
949#386C22×C6711yescharacteristic, complemented
950#386C22×C6711yescharacteristic, complemented
951#386C22×C6711yescharacteristic, complemented
952#386C22×C6711yescharacteristic, complemented
953#386C22×C6711yescharacteristic, complemented
954#386C22×C6711yescharacteristic, complemented
955#386C22×C6711yescharacteristic, complemented
956#385C22×C6711yescharacteristic
957#385C22×C6711yescharacteristic
958#385C22×C6711yescharacteristic
959#385C22×C6711yescharacteristic, complemented
960#385C22×C6711yescharacteristic, complemented
961#385C22×C6711yescharacteristic, complemented
962#385C22×C6711yescharacteristic, complemented
963#385C22×C6711yescharacteristic, complemented
964#385C22×C6711yescharacteristic, complemented
965#383C22×C6711yescharacteristic, complemented
966#383C22×C6711yescharacteristic, complemented
967#382C22×C6711yescharacteristic, complemented
968#382C22×C6711yescharacteristic, complemented
969#381C22×C6711yescharacteristic
970#381C22×C6711yescharacteristic
971#381C22×C6711yescharacteristic, complemented
972#381C22×C6711yescharacteristic, complemented
973#380C22×C6711yescharacteristic, complemented
974#380C22×C6711yescharacteristic, complemented
975#380C22×C6711yescharacteristic, complemented
976#380C22×C6711yescharacteristic, complemented
977#380C22×C6711yescharacteristic, complemented
978#379C22×C6711yescharacteristic
979#379C22×C6711yescharacteristic
980#379C22×C6711yescharacteristic
981#379C22×C6711yescharacteristic
982#379C22×C6711yescharacteristic
983#379C22×C6711yescharacteristic
984C4×C22⋊C4C22×C6711yescharacteristic, complemented
985C2×#95C22×C6711yescharacteristic, complemented
986C2×#95C22×C6711yescharacteristic, complemented
987C25C23×C6711yescharacteristic
988C25C23×C6711yescharacteristic
989C22×Q8C23×C6711yescharacteristic
990C22×D4—24no—
991C22×D4—42no—
992C22×D4—42no—
993C22×D4C23×C6711yescharacteristic
994C22×D4C23×C6711yescharacteristic
995C22×D4C23×C6711yescharacteristic
996C22×D4C23×C6711yescharacteristic
997C22×D4C23×C6711yescharacteristic
998C22×D4C23×C6711yescharacteristic
999C22×D4C23×C6711yescharacteristic
1000C22×D4C23×C6711yescharacteristic
1001C22×D4C23×C6711yescharacteristic
1002C23×C4C23×C6711yescharacteristic
1003C23×C4C23×C6711yescharacteristic
1004C23×C4C23×C6711yescharacteristic
1005C23×C4C23×C6711yescharacteristic
1006C23×C4C23×C6711yescharacteristic
1007C23×C4C23×C6711yescharacteristic
1008C23×C4C23×C6711yescharacteristic
1009C23×C4C23×C6711yescharacteristic
1010C23×C4C23×C6711yescharacteristic
1011C23×C4C23×C6711yescharacteristic
1012#126—42no—
1013#124—42no—
1014#123—42no—
1015#123—42no—
1016#123—42no—
1017C22⋊Q8—42no—
1018C22⋊Q8—42no—
1019#121—42no—
1020#121—42no—
1021#120—24no—
1022#120—42no—
1023C4×D4—42no—
1024C2×C4⋊C4—42no—
1025C2×C4⋊C4C23×C6711yescharacteristic
1026C2×C4⋊C4C23×C6711yescharacteristic
1027C2×C4⋊C4C23×C6711yescharacteristic
1028C2×C4⋊C4C23×C6711yescharacteristic
1029C2×C4⋊C4C23×C6711yescharacteristic
1030C2×C4⋊C4C23×C6711yescharacteristic
1031C2×C4⋊C4C23×C6711yescharacteristic
1032C2×C4⋊C4C23×C6711yescharacteristic
1033C2×C4⋊C4C23×C6711yescharacteristic
1034C2×C4⋊C4C23×C6711yescharacteristic
1035C2×C4⋊C4C23×C6711yescharacteristic
1036C2×C4⋊C4C23×C6711yescharacteristic
1037C2×C4⋊C4C23×C6711yescharacteristic
1038C2×C4⋊C4C23×C6711yescharacteristic
1039C2×C4⋊C4C23×C6711yescharacteristic
1040C2×C4⋊C4C23×C6711yescharacteristic
1041C2×C4⋊C4C23×C6711yescharacteristic
1042C2×C4⋊C4C23×C6711yescharacteristic
1043C2×C4⋊C4C23×C6711yescharacteristic
1044C2×C4⋊C4C23×C6711yescharacteristic
1045C2×C4⋊C4C23×C6711yescharacteristic
1046C2×C4⋊C4C23×C6711yescharacteristic
1047C2×C4⋊C4C23×C6711yescharacteristic
1048C2×C4⋊C4C23×C6711yescharacteristic
1049C2×C4⋊C4C23×C6711yescharacteristic
1050C2×C4⋊C4C23×C6711yescharacteristic
1051C2×C22⋊C4—24no—
1052C2×C22⋊C4—42no—
1053C2×C22⋊C4—42no—
1054C2×C22⋊C4—42no—
1055C2×C22⋊C4C23×C6711yescharacteristic
1056C2×C22⋊C4C23×C6711yescharacteristic
1057C2×C22⋊C4C23×C6711yescharacteristic
1058C2×C22⋊C4C23×C6711yescharacteristic
1059C2×C22⋊C4C23×C6711yescharacteristic
1060C2×C22⋊C4C23×C6711yescharacteristic
1061C2×C22⋊C4C23×C6711yescharacteristic
1062C2×C22⋊C4C23×C6711yescharacteristic
1063C2×C22⋊C4C23×C6711yescharacteristic
1064C2×C22⋊C4C23×C6711yescharacteristic
1065C2×C22⋊C4C23×C6711yescharacteristic
1066C2×C22⋊C4C23×C6711yescharacteristic
1067C2×C22⋊C4C23×C6711yescharacteristic
1068C2×C22⋊C4C23×C6711yescharacteristic
1069C2×C22⋊C4C23×C6711yescharacteristic
1070C2×C22⋊C4C23×C6711yescharacteristic
1071C2×C22⋊C4C23×C6711yescharacteristic
1072C2×C22⋊C4C23×C6711yescharacteristic
1073C2×C22⋊C4C23×C6711yescharacteristic
1074C2×C22⋊C4C23×C6711yescharacteristic
1075C2×C22⋊C4C23×C6711yescharacteristic
1076C2×C22⋊C4C23×C6711yescharacteristic
1077C2×C22⋊C4C23×C6711yescharacteristic
1078C2×C22⋊C4C23×C6711yescharacteristic
1079C2×C22⋊C4C23×C6711yescharacteristic
1080C2×C22⋊C4C23×C6711yescharacteristic
1081C2×C22⋊C4C23×C6711yescharacteristic
1082C2×C22⋊C4C23×C6711yescharacteristic
1083C2×C22⋊C4C23×C6711yescharacteristic
1084C2×C22⋊C4C23×C6711yescharacteristic
1085C2×C22⋊C4C23×C6711yescharacteristic
1086C2×C22⋊C4C23×C6711yescharacteristic
1087C2×C22⋊C4C23×C6711yescharacteristic
1088C2×C22⋊C4C23×C6711yescharacteristic
1089C2×C22⋊C4C23×C6711yescharacteristic
1090C2×C22⋊C4C23×C6711yescharacteristic
1091C2×C22⋊C4C23×C6711yescharacteristic
1092C2×C22⋊C4C23×C6711yescharacteristic
1093C2×C22⋊C4C23×C6711yescharacteristic
1094C2×C22⋊C4C23×C6711yescharacteristic
1095C2×C22⋊C4C23×C6711yescharacteristic
1096C2×C22⋊C4C23×C6711yescharacteristic
1097C2×C22⋊C4C23×C6711yescharacteristic
1098C2×C22⋊C4C23×C6711yescharacteristic
1099C2×C22⋊C4C23×C6711yescharacteristic
1100C2×C22⋊C4C23×C6711yescharacteristic
1101C2×C22⋊C4C23×C6711yescharacteristic
1102C2×C22⋊C4C23×C6711yescharacteristic
1103C2×C22⋊C4C23×C6711yescharacteristic
1104C2×C22⋊C4C23×C6711yescharacteristic
1105C2×C22⋊C4C23×C6711yescharacteristic
1106C2×C22⋊C4C23×C6711yescharacteristic
1107C2×C22⋊C4C23×C6711yescharacteristic
1108C2×C22⋊C4C23×C6711yescharacteristic
1109C2×C22⋊C4C23×C6711yescharacteristic
1110C2×C22⋊C4C23×C6711yescharacteristic
1111C2×C42—42no—
1112C2×C42C23×C6711yescharacteristic
1113C2×C42C23×C6711yescharacteristic
1114C2×C42C23×C6711yescharacteristic
1115C2×C42C23×C6711yescharacteristic
1116C2×C42C23×C6711yescharacteristic
1117C2×C42C23×C6711yescharacteristic
1118C2×C42C23×C6711yescharacteristic
1119#95C23×C6711yescharacteristic
1120#95C23×C6711yescharacteristic
1121#95C23×C6711yescharacteristic
1122#95C23×C6711yescharacteristic
1123#95C23×C6711yescharacteristic
1124#95C23×C6711yescharacteristic
1125#95C23×C6711yescharacteristic
1126#95C23×C6711yescharacteristic
1127#95C23×C6711yescharacteristic
1128#95C23×C6711yescharacteristic
1129#95C23×C6711yescharacteristic
1130#95C23×C6711yescharacteristic
1131#95C23×C6711yescharacteristic
1132#95C23×C6711yescharacteristic
1133#95C23×C6711yescharacteristic
1134#95C23×C6711yescharacteristic
1135#95C23×C6711yescharacteristic
1136#95C23×C6711yescharacteristic
1137#95C23×C6711yescharacteristic
1138#95C23×C6711yescharacteristic
1139#95C23×C6711yescharacteristic
1140#95C23×C6711yescharacteristic
1141#95C23×C6711yescharacteristic
1142#95C23×C6711yescharacteristic
1143#95C23×C6711yescharacteristic
1144#95C23×C6711yescharacteristic
1145#95C23×C6711yescharacteristic
1146#95C23×C6711yescharacteristic
1147#95C23×C6711yescharacteristic
1148#95C23×C6711yescharacteristic
1149#95C23×C6711yescharacteristic
1150#95C23×C6711yescharacteristic
1151#95C23×C6711yescharacteristic
1152#95C23×C6711yescharacteristic
1153#95C23×C6711yescharacteristic
1154#95C23×C6711yescharacteristic
1155#95C23×C6711yescharacteristic
1156#95C23×C6711yescharacteristic
1157#95C23×C6711yescharacteristic
1158#95C23×C6711yescharacteristic
1159#95C23×C6711yescharacteristic
1160#95C23×C6711yescharacteristic
1161#95C23×C6711yescharacteristic
1162#95C23×C6711yescharacteristic
1163C24—22no—
1164C24—22no—
1165C24—22no—
1166C24—41no—
1167C24—41no—
1168C24—41no—
1169C24—41no—
1170C24—41no—
1171C24—41no—
1172C24—41no—
1173C24—41no—
1174C24—41no—
1175C24—41no—
1176C24#41×C6714yes—
1177C24C24×C6711yescharacteristic
1178C24C24×C6711yescharacteristic
1179C24C24×C6711yescharacteristic
1180C24C24×C6711yescharacteristic
1181C24C24×C6711yescharacteristic
1182C24C24×C6711yescharacteristic
1183C2×Q8—22no—
1184C2×Q8—41no—
1185C2×Q8—41no—
1186C2×D4—22no—
1187C2×D4—22no—
1188C2×D4—22no—
1189C2×D4—22no—
1190C2×D4—22no—
1191C2×D4—22no—
1192C2×D4—22no—
1193C2×D4—22no—
1194C2×D4—22no—
1195C2×D4—22no—
1196C2×D4—22no—
1197C2×D4—22no—
1198C2×D4—22no—
1199C2×D4—22no—
1200C2×D4—41no—
1201C2×D4—41no—
1202C2×D4—41no—
1203C2×D4—41no—
1204C2×D4—41no—
1205C2×D4—41no—
1206C2×D4—41no—
1207C2×D4—41no—
1208C2×D4—41no—
1209C2×D4—41no—
1210C2×D4—41no—
1211C2×D4—41no—
1212C2×D4—41no—
1213C2×D4—416no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—22no—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—22no—
1224C22×C4—41no—
1225C22×C4—41no—
1226C22×C4—41no—
1227C22×C4—41no—
1228C22×C4—41no—
1229C22×C4—41no—
1230C22×C4—41no—
1231C22×C4—41no—
1232C22×C4—41no—
1233C22×C4—41no—
1234C22×C4—41no—
1235C22×C4—41no—
1236C22×C4—41no—
1237C22×C4—41no—
1238C22×C4—41no—
1239C22×C4—41no—
1240C22×C4—41no—
1241C22×C4—41no—
1242C22×C4—41no—
1243C22×C4—41no—
1244C22×C4C24×C6711yescharacteristic
1245C22×C4C24×C6711yescharacteristic
1246C22×C4C24×C6711yescharacteristic
1247C22×C4C24×C6711yescharacteristic
1248C22×C4C24×C6711yescharacteristic
1249C22×C4C24×C6711yescharacteristic
1250C22×C4C24×C6711yescharacteristic
1251C22×C4C24×C6711yescharacteristic
1252C22×C4C24×C6711yescharacteristic
1253C22×C4C24×C6711yescharacteristic
1254C22×C4C24×C6711yescharacteristic
1255C22×C4C24×C6711yescharacteristic
1256C22×C4C24×C6711yescharacteristic
1257C22×C4C24×C6711yescharacteristic
1258C22×C4C24×C6711yescharacteristic
1259C22×C4C24×C6711yescharacteristic
1260C22×C4C24×C6711yescharacteristic
1261C22×C4C24×C6711yescharacteristic
1262C22×C4C24×C6711yescharacteristic
1263C22×C4C24×C6711yescharacteristic
1264C22×C4C24×C6711yescharacteristic
1265C22×C4C24×C6711yescharacteristic
1266C22×C4C24×C6711yescharacteristic
1267C22×C4C24×C6711yescharacteristic
1268C22×C4C24×C6711yescharacteristic
1269C4⋊C4—22no—
1270C4⋊C4—41no—
1271C4⋊C4—41no—
1272C4⋊C4—41no—
1273C4⋊C4—41no—
1274C4⋊C4—41no—
1275C4⋊C4—41no—
1276C4⋊C4—41no—
1277C4⋊C4—41no—
1278C4⋊C4—41no—
1279C4⋊C4—41no—
1280C4⋊C4—41no—
1281C4⋊C4—41no—
1282C4⋊C4—41no—
1283C4⋊C4—41no—
1284C4⋊C4—41no—
1285C4⋊C4—41no—
1286C4⋊C4—41no—
1287C4⋊C4—41no—
1288C4⋊C4—41no—
1289C4⋊C4—41no—
1290C4⋊C4—41no—
1291C4⋊C4—41no—
1292C4⋊C4—41no—
1293C4⋊C4—41no—
1294C4⋊C4—41no—
1295C22⋊C4—22no—
1296C22⋊C4—22no—
1297C22⋊C4—22no—
1298C22⋊C4—22no—
1299C22⋊C4—22no—
1300C22⋊C4—22no—
1301C22⋊C4—22no—
1302C22⋊C4—22no—
1303C22⋊C4—22no—
1304C22⋊C4—22no—
1305C22⋊C4—22no—
1306C22⋊C4—22no—
1307C22⋊C4—22no—
1308C22⋊C4—22no—
1309C22⋊C4—41no—
1310C22⋊C4—41no—
1311C22⋊C4—41no—
1312C22⋊C4—41no—
1313C22⋊C4—41no—
1314C22⋊C4—41no—
1315C22⋊C4—41no—
1316C22⋊C4—41no—
1317C22⋊C4—41no—
1318C22⋊C4—41no—
1319C22⋊C4—41no—
1320C22⋊C4—41no—
1321C22⋊C4—41no—
1322C22⋊C4—41no—
1323C22⋊C4—41no—
1324C22⋊C4—41no—
1325C22⋊C4—41no—
1326C22⋊C4—41no—
1327C22⋊C4—41no—
1328C22⋊C4—41no—
1329C22⋊C4—41no—
1330C22⋊C4—41no—
1331C22⋊C4—41no—
1332C22⋊C4—41no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4—41no—
1342C22⋊C4—41no—
1343C22⋊C4—41no—
1344C22⋊C4—41no—
1345C22⋊C4—41no—
1346C22⋊C4—41no—
1347C22⋊C4—41no—
1348C22⋊C4—41no—
1349C22⋊C4—41no—
1350C22⋊C4—41no—
1351C42—22no—
1352C42—22no—
1353C42—41no—
1354C42—41no—
1355C42—41no—
1356C42—41no—
1357C42—41no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—28no—
1375C23—21no—
1376C23—21no—
1377C23—21no—
1378C23—21no—
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—44no—
1397C23—44no—
1398C23—44no—
1399C23—82no—
1400C23—82no—
1401C23—82no—
1402C23—82no—
1403C23—82no—
1404C23—82no—
1405C23—82no—
1406C23—82no—
1407C23—82no—
1408C23—82no—
1409C23C2×#41×C6712yes—
1410C23C2×#41×C6712yes—
1411C23C2×#41×C6712yes—
1412C23H(5,𝔽2)×C6712yes—
1413C23H(5,𝔽2)×C6712yes—
1414C23C25×C6711yescharacteristic
1415Q8—82no—
1416D4—44no—
1417D4—44no—
1418D4—44no—
1419D4—44no—
1420D4—44no—
1421D4—82no—
1422D4—82no—
1423D4—82no—
1424D4—82no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—44no—
1500C2×C4—44no—
1501C2×C4—44no—
1502C2×C4—44no—
1503C2×C4—44no—
1504C2×C4—82no—
1505C2×C4—82no—
1506C2×C4—82no—
1507C2×C4—82no—
1508C2×C4—82no—
1509C2×C4H(5,𝔽2)×C6712yes—
1510C22—22no—
1511C22—22no—
1512C22—22no—
1513C22—22no—
1514C22—22no—
1515C22—22no—
1516C22—22no—
1517C22—22no—
1518C22—22no—
1519C22—22no—
1520C22—22no—
1521C22—22no—
1522C22—41no—
1523C22—41no—
1524C22—41no—
1525C22—41no—
1526C22—41no—
1527C22—41no—
1528C22—41no—
1529C22—41no—
1530C22—41no—
1531C22—41no—
1532C22—41no—
1533C22—41no—
1534C22—41no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—88no—
1552C22—88no—
1553C22#538×C6714yes—
1554C22C22×#41×C6711yescharacteristic
1555C22C2×H(5,𝔽2)×C6711yescharacteristic
1556C22C2×H(5,𝔽2)×C6711yescharacteristic
1557C22C2×H(5,𝔽2)×C6711yescharacteristic
1558C22#585×C6711yescharacteristic
1559C22#585×C6711yescharacteristic
1560C22#585×C6711yescharacteristic
1561C4—22no—
1562C4—41no—
1563C4—41no—
1564C4—41no—
1565C4—41no—
1566C4—41no—
1567C4—41no—
1568C4—41no—
1569C4—41no—
1570C4—41no—
1571C4—41no—
1572C4—41no—
1573C4—41no—
1574C4—41no—
1575C4—41no—
1576C4—41no—
1577C4—41no—
1578C4—41no—
1579C4—41no—
1580C4—41no—
1581C4—41no—
1582C4—41no—
1583C4—41no—
1584C4—41no—
1585C4—41no—
1586C2—24no—
1587C2—42no—
1588C2—42no—
1589C2—81no—
1590C2—81no—
1591C2—81no—
1592C2C2×#538×C6711yescharacteristic
1593C2C67×#349111yescharacteristic
1594C2C67×#350511yescharacteristic
1595C2C67×#353411yescharacteristic
1596C2C67×#354211yescharacteristic
1597C2C67×#354511yescharacteristic
1598C2C67×#356011yescharacteristic
subgroupG/H
center, socleC23×C67C25
commutator, Frattini, cosocleC23C25×C67
prime radicalC67×#2410C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C67 ◁ G

Complements

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

NH ≅ G/Ntype
1. C67×#2852C2semidirect
2. C67×#2850C2semidirect
3. C67×#2781C2semidirect
4. C67×#2781C2semidirect
5. C67×#2778C2semidirect
6. C67×#2765C2semidirect
7. C67×#2764C2semidirect
8. C67×#2761C2semidirect
9. C67×#2756C2semidirect
10. C67×#2749C2semidirect
11. C67×#2743C2semidirect
12. C67×#2741C2semidirect
13. C67×#2735C2semidirect
14. C67×#2735C2semidirect
15. C67×#2730C2semidirect
16. C67×#2702C2semidirect
17. C67×#2685C2semidirect
18. C67×#2684C2semidirect
19. C67×#2623C2semidirect
20. C67×#2618C2semidirect
21. C67×#2510C2semidirect
22. C67×#2488C2semidirect
23. C67×#2444C2semidirect
24. C67×#2437C2semidirect
25. C67×#2425C2semidirect
26. C67×#2412C2semidirect
28. C67×#2405C2semidirect
29. C67×#2321C2semidirect
30. C67×#2308C2semidirect
31. C2×#388×C67C2semidirect
33. C2×#126×C67C22semidirect
34. C2×#124×C67C22semidirect
37. C2×#123×C67C22semidirect
38. C2×C22⋊Q8×C67C22semidirect
39. C2×C22⋊Q8×C67C22semidirect
44. C2×C4×D4×C67C22semidirect
45. C22×C4⋊C4×C67C22semidirect
50. C22×C42×C67C22semidirect
51. #401×C67C22semidirect
52. #400×C67C22semidirect
53. #400×C67C22semidirect
54. #400×C67C22semidirect
55. #400×C67C22semidirect
56. #400×C67C22semidirect
57. #400×C67C22semidirect
59. #399×C67C22semidirect
60. #399×C67C22semidirect
61. #398×C67C22semidirect
62. #398×C67C22semidirect
63. #398×C67C22semidirect
64. #398×C67C22semidirect
65. #398×C67C22semidirect
68. #397×C67C22semidirect
69. #397×C67C22semidirect
70. #397×C67C22semidirect
71. #397×C67C22semidirect
72. #397×C67C22semidirect
73. #397×C67C22semidirect
74. #397×C67C22semidirect
75. #397×C67C22semidirect
78. #396×C67C22semidirect
79. #396×C67C22semidirect
80. #396×C67C22semidirect
81. #396×C67C22semidirect
82. #396×C67C22semidirect
91. #394×C67C22semidirect
92. #394×C67C22semidirect
93. #394×C67C22semidirect
94. #394×C67C22semidirect
96. #393×C67C22semidirect
99. #391×C67C22semidirect
100. #391×C67C22semidirect
102. #390×C67C22semidirect
103. #390×C67C22semidirect
104. #389×C67C22semidirect
111. #388×C67C22semidirect
112. #388×C67C22semidirect
113. #388×C67C22semidirect
114. #388×C67C22semidirect
115. #388×C67C22semidirect
116. #388×C67C22semidirect
117. #388×C67C22semidirect
118. #388×C67C22semidirect
119. #388×C67C22semidirect
120. #388×C67C22semidirect
121. #388×C67C22semidirect
122. #388×C67C22semidirect
123. #388×C67C22semidirect
124. #388×C67C22semidirect
125. #388×C67C22semidirect
126. #388×C67C22semidirect
127. #388×C67C22semidirect
128. #388×C67C22semidirect
129. #388×C67C22semidirect
130. #387×C67C22semidirect
131. #387×C67C22semidirect
132. #387×C67C22semidirect
133. #387×C67C22semidirect
134. #387×C67C22semidirect
149. #386×C67C22semidirect
150. #386×C67C22semidirect
151. #386×C67C22semidirect
152. #386×C67C22semidirect
153. #386×C67C22semidirect
154. #386×C67C22semidirect
155. #386×C67C22semidirect
159. #385×C67C22semidirect
160. #385×C67C22semidirect
161. #385×C67C22semidirect
162. #385×C67C22semidirect
163. #385×C67C22semidirect
164. #385×C67C22semidirect
165. #383×C67C22semidirect
166. #383×C67C22semidirect
167. #382×C67C22semidirect
168. #382×C67C22semidirect
171. #381×C67C22semidirect
172. #381×C67C22semidirect
173. #380×C67C22semidirect
174. #380×C67C22semidirect
175. #380×C67C22semidirect
176. #380×C67C22semidirect
177. #380×C67C22semidirect
184. C4×C22⋊C4×C67C22semidirect
185. C2×#95×C67C22semidirect
186. C2×#95×C67C22semidirect
786. #36779C67direct (N × H)
800. #2852C2×C67semidirect
801. #2850C2×C67semidirect
802. #2781C2×C67semidirect
803. #2781C2×C67semidirect
804. #2778C2×C67semidirect
805. #2765C2×C67semidirect
806. #2764C2×C67semidirect
807. #2761C2×C67semidirect
808. #2756C2×C67semidirect
809. #2749C2×C67semidirect
810. #2743C2×C67semidirect
811. #2741C2×C67semidirect
812. #2735C2×C67semidirect
813. #2735C2×C67semidirect
814. #2730C2×C67semidirect
815. #2702C2×C67semidirect
816. #2685C2×C67semidirect
817. #2684C2×C67semidirect
818. #2623C2×C67semidirect
819. #2618C2×C67semidirect
820. #2510C2×C67semidirect
821. #2488C2×C67semidirect
822. #2444C2×C67semidirect
823. #2437C2×C67semidirect
824. #2425C2×C67semidirect
825. #2412C2×C67semidirect
827. #2405C2×C67semidirect
828. #2321C2×C67semidirect
829. #2308C2×C67semidirect
830. C2×#388C2×C67semidirect
831. C67#36779direct (N × H)
833. C2×#126C22×C67semidirect
834. C2×#124C22×C67semidirect
837. C2×#123C22×C67semidirect
838. C2×C22⋊Q8C22×C67semidirect
839. C2×C22⋊Q8C22×C67semidirect
844. C2×C4×D4C22×C67semidirect
845. C22×C4⋊C4C22×C67semidirect
850. C22×C42C22×C67semidirect
851. #401C22×C67semidirect
852. #400C22×C67semidirect
853. #400C22×C67semidirect
854. #400C22×C67semidirect
855. #400C22×C67semidirect
856. #400C22×C67semidirect
857. #400C22×C67semidirect
859. #399C22×C67semidirect
860. #399C22×C67semidirect
861. #398C22×C67semidirect
862. #398C22×C67semidirect
863. #398C22×C67semidirect
864. #398C22×C67semidirect
865. #398C22×C67semidirect
868. #397C22×C67semidirect
869. #397C22×C67semidirect
870. #397C22×C67semidirect
871. #397C22×C67semidirect
872. #397C22×C67semidirect
873. #397C22×C67semidirect
874. #397C22×C67semidirect
875. #397C22×C67semidirect
878. #396C22×C67semidirect
879. #396C22×C67semidirect
880. #396C22×C67semidirect
881. #396C22×C67semidirect
882. #396C22×C67semidirect
891. #394C22×C67semidirect
892. #394C22×C67semidirect
893. #394C22×C67semidirect
894. #394C22×C67semidirect
896. #393C22×C67semidirect
899. #391C22×C67semidirect
900. #391C22×C67semidirect
902. #390C22×C67semidirect
903. #390C22×C67semidirect
904. #389C22×C67semidirect
911. #388C22×C67semidirect
912. #388C22×C67semidirect
913. #388C22×C67semidirect
914. #388C22×C67semidirect
915. #388C22×C67semidirect
916. #388C22×C67semidirect
917. #388C22×C67semidirect
918. #388C22×C67semidirect
919. #388C22×C67semidirect
920. #388C22×C67semidirect
921. #388C22×C67semidirect
922. #388C22×C67semidirect
923. #388C22×C67semidirect
924. #388C22×C67semidirect
925. #388C22×C67semidirect
926. #388C22×C67semidirect
927. #388C22×C67semidirect
928. #388C22×C67semidirect
929. #388C22×C67semidirect
930. #387C22×C67semidirect
931. #387C22×C67semidirect
932. #387C22×C67semidirect
933. #387C22×C67semidirect
934. #387C22×C67semidirect
949. #386C22×C67semidirect
950. #386C22×C67semidirect
951. #386C22×C67semidirect
952. #386C22×C67semidirect
953. #386C22×C67semidirect
954. #386C22×C67semidirect
955. #386C22×C67semidirect
959. #385C22×C67semidirect
960. #385C22×C67semidirect
961. #385C22×C67semidirect
962. #385C22×C67semidirect
963. #385C22×C67semidirect
964. #385C22×C67semidirect
965. #383C22×C67semidirect
966. #383C22×C67semidirect
967. #382C22×C67semidirect
968. #382C22×C67semidirect
971. #381C22×C67semidirect
972. #381C22×C67semidirect
973. #380C22×C67semidirect
974. #380C22×C67semidirect
975. #380C22×C67semidirect
976. #380C22×C67semidirect
977. #380C22×C67semidirect
984. C4×C22⋊C4C22×C67semidirect
985. C2×#95C22×C67semidirect
986. C2×#95C22×C67semidirect

Maximal subgroups

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

subgroupindex
C67×#28522
C67×#28502
C67×#27812
C67×#27782
C67×#27652
C67×#27642
C67×#27612
C67×#27562
C67×#27492
C67×#27432
C67×#27412
C67×#27352
C67×#27302
C67×#27022
C67×#26852
C67×#26842
C67×#26232
C67×#26182
C67×#25102
C67×#24882
C67×#24442
C67×#24372
C67×#24252
C67×#24122
C67×#24102
C67×#24052
C67×#23212
C67×#23082
C2×#388×C672
#3677967