Finite Group Databasebeta

← C73×#59648 #32969052

Subgroups — C73×#59648 #32969052

Order 18688.

2386 conjugacy classes of subgroups.

The subgroup lattice has 1620 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#554×C73C211yesmaximal, characteristic, complemented
2C2×#551×C73C211yesmaximal, characteristic, complemented
3C73×#2730C211yesmaximal, characteristic, complemented
4C73×#2729C211yesmaximal, characteristic, complemented
5C73×#2725C211yesmaximal, characteristic, complemented
6C73×#2681C211yesmaximal, characteristic, complemented
7C73×#2579C211yesmaximal, characteristic, complemented
8C73×#2560C211yesmaximal, characteristic, complemented
9C73×#2558C211yesmaximal, characteristic, complemented
10C73×#2545C211yesmaximal, characteristic, complemented
11C73×#2536C211yesmaximal, characteristic, complemented
12C73×#2534C211yesmaximal, characteristic, complemented
13C73×#2519C211yesmaximal, characteristic, complemented
14C73×#2488C211yesmaximal, characteristic, complemented
15C73×#2481C211yesmaximal, characteristic, complemented
16C73×#2477C211yesmaximal, characteristic, complemented
17C73×#2472C211yesmaximal, characteristic, complemented
18C73×#2461C211yesmaximal, characteristic, complemented
19C73×#2460C211yesmaximal, characteristic, complemented
20C73×#2458C211yesmaximal, characteristic, complemented
21C73×#2438C211yesmaximal, characteristic, complemented
22C73×#2437C211yesmaximal, characteristic, complemented
23C73×#2425C211yesmaximal, characteristic, complemented
24C73×#2424C211yesmaximal, characteristic
25C73×#2362C211yesmaximal, characteristic, complemented
26C73×#2361C211yesmaximal, characteristic, complemented
27C73×#2359C211yesmaximal, characteristic, complemented
28C73×#2358C211yesmaximal, characteristic, complemented
29C4×C22⋊Q8×C73C211yesmaximal, characteristic, complemented
30C4×#121×C73C211yesmaximal, characteristic, complemented
31C2×#388×C73C211yesmaximal, characteristic, complemented
32#554×C73—28no—
33#551×C73—28no—
34C2×C4⋊Q8×C73C2211yescharacteristic, complemented
35C2×#126×C73C2211yescharacteristic
36C2×#126×C73C2211yescharacteristic
37C2×#125×C73C2211yescharacteristic, complemented
38C2×#125×C73C2211yescharacteristic, complemented
39C2×#124×C73C2211yescharacteristic
40C2×#124×C73C2211yescharacteristic
41C2×#123×C73C2211yescharacteristic
42C2×#123×C73C2211yescharacteristic
43C2×#123×C73C2211yescharacteristic
44C2×#123×C73C2211yescharacteristic
45C2×C22⋊Q8×C73C2211yescharacteristic
46C2×C22⋊Q8×C73C2211yescharacteristic
47C2×C22⋊Q8×C73C2211yescharacteristic
48C2×C22⋊Q8×C73C2211yescharacteristic
49C2×C22⋊Q8×C73C2211yescharacteristic
50C2×C22⋊Q8×C73C2211yescharacteristic, complemented
51C2×C22⋊Q8×C73C2211yescharacteristic, complemented
52C2×C22⋊Q8×C73C2211yescharacteristic, complemented
53C2×#121×C73C2211yescharacteristic
54C2×#121×C73C2211yescharacteristic
55C2×#120×C73C2211yescharacteristic
56C2×#120×C73C2211yescharacteristic
57C2×C4×Q8×C73C2211yescharacteristic, complemented
58C2×C4×Q8×C73C2211yescharacteristic, complemented
59C2×C4×D4×C73C2211yescharacteristic
60C2×C4×D4×C73C2211yescharacteristic
61C2×C4×D4×C73C2211yescharacteristic
62C2×C4×D4×C73C2211yescharacteristic
63C2×C4×D4×C73C2211yescharacteristic
64C2×C4×D4×C73C2211yescharacteristic
65C2×C4×D4×C73C2211yescharacteristic, complemented
66C2×#117×C73C2211yescharacteristic
67C2×#117×C73C2211yescharacteristic
68C22×C4⋊C4×C73C2211yescharacteristic
69C22×C4⋊C4×C73C2211yescharacteristic, complemented
70C22×C22⋊C4×C73C2211yescharacteristic
71C22×C22⋊C4×C73C2211yescharacteristic
72C22×C22⋊C4×C73C2211yescharacteristic
73C22×C22⋊C4×C73C2211yescharacteristic
74C22×C42×C73C2211yescharacteristic
75#400×C73C2211yescharacteristic, complemented
76#400×C73C2211yescharacteristic, complemented
77#400×C73C2211yescharacteristic, complemented
78#399×C73C2211yescharacteristic
79#398×C73C2211yescharacteristic, complemented
80#398×C73C2211yescharacteristic, complemented
81#398×C73C2211yescharacteristic, complemented
82#398×C73C2211yescharacteristic, complemented
83#398×C73C2211yescharacteristic, complemented
84#397×C73C2211yescharacteristic
85#397×C73C2211yescharacteristic, complemented
86#397×C73C2211yescharacteristic, complemented
87#396×C73C2211yescharacteristic
88#396×C73C2211yescharacteristic
89#396×C73C2211yescharacteristic
90#396×C73C2211yescharacteristic
91#396×C73C2211yescharacteristic
92#396×C73C2211yescharacteristic, complemented
93#396×C73C2211yescharacteristic, complemented
94#396×C73C2211yescharacteristic, complemented
95#395×C73C2211yescharacteristic, complemented
96#394×C73C2211yescharacteristic
97#394×C73C2211yescharacteristic
98#394×C73C2211yescharacteristic
99#394×C73C2211yescharacteristic
100#394×C73C2211yescharacteristic
101#394×C73C2211yescharacteristic
102#394×C73C2211yescharacteristic, complemented
103#393×C73C2211yescharacteristic
104#393×C73C2211yescharacteristic
105#393×C73C2211yescharacteristic, complemented
106#392×C73C2211yescharacteristic
107#391×C73C2211yescharacteristic, complemented
108#391×C73C2211yescharacteristic, complemented
109#391×C73C2211yescharacteristic, complemented
110#390×C73C2211yescharacteristic
111#390×C73C2211yescharacteristic
112#390×C73C2211yescharacteristic
113#390×C73C2211yescharacteristic, complemented
114#389×C73C2211yescharacteristic, complemented
115#389×C73C2211yescharacteristic, complemented
116#389×C73C2211yescharacteristic, complemented
117#389×C73C2211yescharacteristic, complemented
118#389×C73C2211yescharacteristic, complemented
119#388×C73C2211yescharacteristic
120#388×C73C2211yescharacteristic
121#388×C73C2211yescharacteristic
122#388×C73C2211yescharacteristic
123#388×C73C2211yescharacteristic
124#388×C73C2211yescharacteristic
125#388×C73C2211yescharacteristic
126#388×C73C2211yescharacteristic
127#388×C73C2211yescharacteristic
128#388×C73C2211yescharacteristic
129#388×C73C2211yescharacteristic
130#388×C73C2211yescharacteristic
131#388×C73C2211yescharacteristic
132#388×C73C2211yescharacteristic
133#388×C73C2211yescharacteristic
134#388×C73C2211yescharacteristic, complemented
135#388×C73C2211yescharacteristic, complemented
136#388×C73C2211yescharacteristic, complemented
137#388×C73C2211yescharacteristic, complemented
138#388×C73C2211yescharacteristic, complemented
139#388×C73C2211yescharacteristic, complemented
140#388×C73C2211yescharacteristic, complemented
141#387×C73C2211yescharacteristic, complemented
142#387×C73C2211yescharacteristic, complemented
143#387×C73C2211yescharacteristic, complemented
144#387×C73C2211yescharacteristic, complemented
145#387×C73C2211yescharacteristic, complemented
146#387×C73C2211yescharacteristic, complemented
147#387×C73C2211yescharacteristic, complemented
148#387×C73C2211yescharacteristic, complemented
149#386×C73C2211yescharacteristic
150#386×C73C2211yescharacteristic
151#386×C73C2211yescharacteristic
152#386×C73C2211yescharacteristic
153#386×C73C2211yescharacteristic
154#386×C73C2211yescharacteristic
155#386×C73C2211yescharacteristic
156#386×C73C2211yescharacteristic
157#386×C73C2211yescharacteristic
158#386×C73C2211yescharacteristic, complemented
159#385×C73C2211yescharacteristic
160#385×C73C2211yescharacteristic
161#385×C73C2211yescharacteristic
162#385×C73C2211yescharacteristic
163#385×C73C2211yescharacteristic
164#385×C73C2211yescharacteristic
165#385×C73C2211yescharacteristic
166#385×C73C2211yescharacteristic, complemented
167#385×C73C2211yescharacteristic, complemented
168#385×C73C2211yescharacteristic, complemented
169#382×C73C2211yescharacteristic, complemented
170#381×C73C2211yescharacteristic
171#380×C73C2211yescharacteristic
172#380×C73C2211yescharacteristic
173#380×C73C2211yescharacteristic
174#380×C73C2211yescharacteristic, complemented
175#379×C73C2211yescharacteristic
176C4×C4⋊C4×C73C2211yescharacteristic, complemented
177C4×C4⋊C4×C73C2211yescharacteristic, complemented
178C4×C4⋊C4×C73C2211yescharacteristic, complemented
179C4×C4⋊C4×C73C2211yescharacteristic, complemented
180C4×C4⋊C4×C73C2211yescharacteristic, complemented
181C4×C22⋊C4×C73C2211yescharacteristic
182C4×C22⋊C4×C73C2211yescharacteristic
183C4×C22⋊C4×C73C2211yescharacteristic
184C4×C22⋊C4×C73C2211yescharacteristic, complemented
185C4×C22⋊C4×C73C2211yescharacteristic, complemented
186C4×C22⋊C4×C73C2211yescharacteristic, complemented
187C2×#95×C73C2211yescharacteristic
188C2×#95×C73C2211yescharacteristic
189C25×C73C2311yescharacteristic
190C22×Q8×C73C2311yescharacteristic
191C22×Q8×C73C2311yescharacteristic
192C22×Q8×C73C2311yescharacteristic
193C22×D4×C73C2311yescharacteristic
194C22×D4×C73C2311yescharacteristic
195C22×D4×C73C2311yescharacteristic
196C22×D4×C73C2311yescharacteristic
197C22×D4×C73C2311yescharacteristic
198C22×D4×C73C2311yescharacteristic
199C22×D4×C73C2311yescharacteristic
200C23×C4×C73C2311yescharacteristic
201C23×C4×C73C2311yescharacteristic
202C23×C4×C73C2311yescharacteristic
203C23×C4×C73C2311yescharacteristic
204C23×C4×C73C2311yescharacteristic
205C23×C4×C73C2311yescharacteristic
206C23×C4×C73C2311yescharacteristic
207C23×C4×C73C2311yescharacteristic
208C23×C4×C73C2311yescharacteristic
209C23×C4×C73C2311yescharacteristic
210C23×C4×C73C2311yescharacteristic
211C23×C4×C73C2311yescharacteristic
212C4⋊Q8×C73—24no—
213#126×C73—24no—
214#126×C73—24no—
215#125×C73—24no—
216#125×C73—24no—
217#124×C73—24no—
218#124×C73—42no—
219#123×C73—24no—
220#123×C73—24no—
221#123×C73—24no—
222#123×C73—24no—
223C22⋊Q8×C73—24no—
224C22⋊Q8×C73—24no—
225C22⋊Q8×C73—24no—
226C22⋊Q8×C73—24no—
227C22⋊Q8×C73—24no—
228C22⋊Q8×C73—24no—
229C22⋊Q8×C73—24no—
230C22⋊Q8×C73D418yescomplemented
231#121×C73—24no—
232#121×C73—24no—
233#120×C73—24no—
234#120×C73—24no—
235C4×Q8×C73—24no—
236C4×Q8×C73—42no—
237C4×D4×C73—24no—
238C4×D4×C73—24no—
239C4×D4×C73—24no—
240C4×D4×C73—24no—
241C4×D4×C73—24no—
242C4×D4×C73—42no—
243C4×D4×C73—42no—
244#117×C73—24no—
245#117×C73—24no—
246C2×C4⋊C4×C73—24no—
247C2×C4⋊C4×C73—24no—
248C2×C4⋊C4×C73C2311yescharacteristic
249C2×C4⋊C4×C73C2311yescharacteristic
250C2×C4⋊C4×C73C2311yescharacteristic
251C2×C4⋊C4×C73C2311yescharacteristic
252C2×C4⋊C4×C73C2311yescharacteristic
253C2×C4⋊C4×C73C2311yescharacteristic
254C2×C4⋊C4×C73C2311yescharacteristic
255C2×C4⋊C4×C73C2311yescharacteristic
256C2×C4⋊C4×C73C2311yescharacteristic
257C2×C4⋊C4×C73C2311yescharacteristic
258C2×C4⋊C4×C73C2311yescharacteristic
259C2×C4⋊C4×C73C2311yescharacteristic
260C2×C4⋊C4×C73C2311yescharacteristic
261C2×C4⋊C4×C73C2311yescharacteristic
262C2×C4⋊C4×C73C2311yescharacteristic
263C2×C4⋊C4×C73C2311yescharacteristic
264C2×C4⋊C4×C73C2311yescharacteristic
265C2×C4⋊C4×C73C2311yescharacteristic
266C2×C4⋊C4×C73C2311yescharacteristic
267C2×C4⋊C4×C73C2311yescharacteristic
268C2×C4⋊C4×C73C2311yescharacteristic
269C2×C4⋊C4×C73C2311yescharacteristic
270C2×C4⋊C4×C73C2311yescharacteristic
271C2×C4⋊C4×C73C2311yescharacteristic
272C2×C4⋊C4×C73C2311yescharacteristic
273C2×C4⋊C4×C73C2311yescharacteristic
274C2×C4⋊C4×C73C2311yescharacteristic
275C2×C4⋊C4×C73C2311yescharacteristic
276C2×C4⋊C4×C73C2311yescharacteristic
277C2×C4⋊C4×C73C2311yescharacteristic
278C2×C4⋊C4×C73C2311yescharacteristic
279C2×C4⋊C4×C73C2311yescharacteristic
280C2×C4⋊C4×C73C2311yescharacteristic
281C2×C4⋊C4×C73C2311yescharacteristic
282C2×C4⋊C4×C73C2311yescharacteristic
283C2×C4⋊C4×C73C2311yescharacteristic
284C2×C22⋊C4×C73—24no—
285C2×C22⋊C4×C73—24no—
286C2×C22⋊C4×C73—24no—
287C2×C22⋊C4×C73—42no—
288C2×C22⋊C4×C73C2311yescharacteristic
289C2×C22⋊C4×C73C2311yescharacteristic
290C2×C22⋊C4×C73C2311yescharacteristic
291C2×C22⋊C4×C73C2311yescharacteristic
292C2×C22⋊C4×C73C2311yescharacteristic
293C2×C22⋊C4×C73C2311yescharacteristic
294C2×C22⋊C4×C73C2311yescharacteristic
295C2×C22⋊C4×C73C2311yescharacteristic
296C2×C22⋊C4×C73C2311yescharacteristic
297C2×C22⋊C4×C73C2311yescharacteristic
298C2×C22⋊C4×C73C2311yescharacteristic
299C2×C22⋊C4×C73C2311yescharacteristic
300C2×C22⋊C4×C73C2311yescharacteristic
301C2×C22⋊C4×C73C2311yescharacteristic
302C2×C22⋊C4×C73C2311yescharacteristic
303C2×C22⋊C4×C73C2311yescharacteristic
304C2×C22⋊C4×C73C2311yescharacteristic
305C2×C22⋊C4×C73C2311yescharacteristic
306C2×C22⋊C4×C73C2311yescharacteristic
307C2×C22⋊C4×C73C2311yescharacteristic
308C2×C22⋊C4×C73C2311yescharacteristic
309C2×C22⋊C4×C73C2311yescharacteristic
310C2×C22⋊C4×C73C2311yescharacteristic
311C2×C22⋊C4×C73C2311yescharacteristic
312C2×C22⋊C4×C73C2311yescharacteristic
313C2×C22⋊C4×C73C2311yescharacteristic
314C2×C22⋊C4×C73C2311yescharacteristic
315C2×C22⋊C4×C73C2311yescharacteristic
316C2×C22⋊C4×C73C2311yescharacteristic
317C2×C22⋊C4×C73C2311yescharacteristic
318C2×C22⋊C4×C73C2311yescharacteristic
319C2×C22⋊C4×C73C2311yescharacteristic
320C2×C22⋊C4×C73C2311yescharacteristic
321C2×C22⋊C4×C73C2311yescharacteristic
322C2×C22⋊C4×C73C2311yescharacteristic
323C2×C22⋊C4×C73C2311yescharacteristic
324C2×C22⋊C4×C73C2311yescharacteristic
325C2×C22⋊C4×C73C2311yescharacteristic
326C2×C22⋊C4×C73C2311yescharacteristic
327C2×C22⋊C4×C73C2311yescharacteristic
328C2×C22⋊C4×C73C2311yescharacteristic
329C2×C22⋊C4×C73C2311yescharacteristic
330C2×C22⋊C4×C73C2311yescharacteristic
331C2×C22⋊C4×C73C2311yescharacteristic
332C2×C22⋊C4×C73C2311yescharacteristic
333C2×C22⋊C4×C73C2311yescharacteristic
334C2×C42×C73—42no—
335C2×C42×C73C2311yescharacteristic
336C2×C42×C73C2311yescharacteristic
337C2×C42×C73C2311yescharacteristic
338C2×C42×C73C2311yescharacteristic
339C2×C42×C73C2311yescharacteristic
340C2×C42×C73C2311yescharacteristic
341C2×C42×C73C2311yescharacteristic
342C2×C42×C73C2311yescharacteristic
343C2×C42×C73C2311yescharacteristic
344C2×C42×C73C2311yescharacteristic
345C2×C42×C73C2311yescharacteristic
346C2×C42×C73C2311yescharacteristic
347C2×C42×C73C2311yescharacteristic
348C2×C42×C73C2311yescharacteristic
349#95×C73C2311yescharacteristic
350#95×C73C2311yescharacteristic
351#95×C73C2311yescharacteristic
352#95×C73C2311yescharacteristic
353#95×C73C2311yescharacteristic
354#95×C73C2311yescharacteristic
355#95×C73C2311yescharacteristic
356#95×C73C2311yescharacteristic
357#95×C73C2311yescharacteristic
358#95×C73C2311yescharacteristic
359#95×C73C2311yescharacteristic
360#95×C73C2311yescharacteristic
361#95×C73C2311yescharacteristic
362#95×C73C2311yescharacteristic
363#95×C73C2311yescharacteristic
364#95×C73C2311yescharacteristic
365#95×C73C2311yescharacteristic
366#95×C73C2311yescharacteristic
367#95×C73C2311yescharacteristic
368#95×C73C2311yescharacteristic
369#95×C73C2311yescharacteristic
370#95×C73C2311yescharacteristic
371#95×C73C2311yescharacteristic
372#95×C73C2311yescharacteristic
373#95×C73C2311yescharacteristic
374#95×C73C2311yescharacteristic
375#95×C73C2311yescharacteristic
376#95×C73C2311yescharacteristic
377#95×C73C2311yescharacteristic
378#95×C73C2311yescharacteristic
379#95×C73C2311yescharacteristic
380#95×C73C2311yescharacteristic
381#95×C73C2311yescharacteristic
382#95×C73C2311yescharacteristic
383#95×C73C2311yescharacteristic
384#95×C73C2311yescharacteristic
385C24×C73—22no—
386C24×C73—22no—
387C24×C73—22no—
388C24×C73—22no—
389C24×C73—41no—
390C24×C73—41no—
391C24×C73—41no—
392C24×C73C2411yescharacteristic
393C24×C73C2411yescharacteristic
394C24×C73C2411yescharacteristic
395C24×C73C2411yescharacteristic
396C24×C73C2411yescharacteristic
397C2×Q8×C73—22no—
398C2×Q8×C73—22no—
399C2×Q8×C73—22no—
400C2×Q8×C73—41no—
401C2×Q8×C73—41no—
402C2×Q8×C73—41no—
403C2×Q8×C73—41no—
404C2×Q8×C73—41no—
405C2×Q8×C73C2×D414yes—
406C2×D4×C73—22no—
407C2×D4×C73—22no—
408C2×D4×C73—22no—
409C2×D4×C73—22no—
410C2×D4×C73—22no—
411C2×D4×C73—22no—
412C2×D4×C73—22no—
413C2×D4×C73—22no—
414C2×D4×C73—22no—
415C2×D4×C73—22no—
416C2×D4×C73—22no—
417C2×D4×C73—22no—
418C2×D4×C73—22no—
419C2×D4×C73—41no—
420C2×D4×C73—41no—
421C2×D4×C73—41no—
422C2×D4×C73—41no—
423C2×D4×C73—41no—
424C2×D4×C73—41no—
425C2×D4×C73—41no—
426C2×D4×C73#4114yes—
427C22×C4×C73—22no—
428C22×C4×C73—22no—
429C22×C4×C73—22no—
430C22×C4×C73—22no—
431C22×C4×C73—22no—
432C22×C4×C73—22no—
433C22×C4×C73—22no—
434C22×C4×C73—22no—
435C22×C4×C73—22no—
436C22×C4×C73—22no—
437C22×C4×C73—22no—
438C22×C4×C73—22no—
439C22×C4×C73—22no—
440C22×C4×C73—22no—
441C22×C4×C73—22no—
442C22×C4×C73—22no—
443C22×C4×C73—22no—
444C22×C4×C73—22no—
445C22×C4×C73—41no—
446C22×C4×C73—41no—
447C22×C4×C73—41no—
448C22×C4×C73—41no—
449C22×C4×C73—41no—
450C22×C4×C73—41no—
451C22×C4×C73—41no—
452C22×C4×C73—41no—
453C22×C4×C73—41no—
454C22×C4×C73—41no—
455C22×C4×C73—41no—
456C22×C4×C73—41no—
457C22×C4×C73—41no—
458C22×C4×C73—41no—
459C22×C4×C73—41no—
460C22×C4×C73—41no—
461C22×C4×C73—41no—
462C22×C4×C73C2×D414yes—
463C22×C4×C73C2411yescharacteristic
464C22×C4×C73C2411yescharacteristic
465C22×C4×C73C2411yescharacteristic
466C22×C4×C73C2411yescharacteristic
467C22×C4×C73C2411yescharacteristic
468C22×C4×C73C2411yescharacteristic
469C22×C4×C73C2411yescharacteristic
470C22×C4×C73C2411yescharacteristic
471C22×C4×C73C2411yescharacteristic
472C22×C4×C73C2411yescharacteristic
473C22×C4×C73C2411yescharacteristic
474C22×C4×C73C2411yescharacteristic
475C22×C4×C73C2411yescharacteristic
476C22×C4×C73C2411yescharacteristic
477C22×C4×C73C2411yescharacteristic
478C22×C4×C73C2411yescharacteristic
479C22×C4×C73C2411yescharacteristic
480C22×C4×C73C2411yescharacteristic
481C22×C4×C73C2411yescharacteristic
482C22×C4×C73C2411yescharacteristic
483C22×C4×C73C2411yescharacteristic
484C22×C4×C73C2411yescharacteristic
485C22×C4×C73C2411yescharacteristic
486C22×C4×C73C2411yescharacteristic
487C22×C4×C73C2411yescharacteristic
488C22×C4×C73C2411yescharacteristic
489C4⋊C4×C73—22no—
490C4⋊C4×C73—22no—
491C4⋊C4×C73—22no—
492C4⋊C4×C73—22no—
493C4⋊C4×C73—22no—
494C4⋊C4×C73—22no—
495C4⋊C4×C73—22no—
496C4⋊C4×C73—22no—
497C4⋊C4×C73—22no—
498C4⋊C4×C73—22no—
499C4⋊C4×C73—22no—
500C4⋊C4×C73—22no—
501C4⋊C4×C73—22no—
502C4⋊C4×C73—22no—
503C4⋊C4×C73—22no—
504C4⋊C4×C73—22no—
505C4⋊C4×C73—22no—
506C4⋊C4×C73—22no—
507C4⋊C4×C73—22no—
508C4⋊C4×C73—22no—
509C4⋊C4×C73—22no—
510C4⋊C4×C73—22no—
511C4⋊C4×C73—22no—
512C4⋊C4×C73—22no—
513C4⋊C4×C73—22no—
514C4⋊C4×C73—41no—
515C4⋊C4×C73—41no—
516C4⋊C4×C73—41no—
517C4⋊C4×C73—41no—
518C4⋊C4×C73—41no—
519C4⋊C4×C73—41no—
520C4⋊C4×C73—41no—
521C4⋊C4×C73—41no—
522C4⋊C4×C73C2×D414yes—
523C4⋊C4×C73C2×D414yes—
524C4⋊C4×C73C2×D414yes—
525C22⋊C4×C73—22no—
526C22⋊C4×C73—22no—
527C22⋊C4×C73—22no—
528C22⋊C4×C73—22no—
529C22⋊C4×C73—22no—
530C22⋊C4×C73—22no—
531C22⋊C4×C73—22no—
532C22⋊C4×C73—22no—
533C22⋊C4×C73—22no—
534C22⋊C4×C73—22no—
535C22⋊C4×C73—22no—
536C22⋊C4×C73—22no—
537C22⋊C4×C73—22no—
538C22⋊C4×C73—22no—
539C22⋊C4×C73—22no—
540C22⋊C4×C73—22no—
541C22⋊C4×C73—22no—
542C22⋊C4×C73—22no—
543C22⋊C4×C73—22no—
544C22⋊C4×C73—22no—
545C22⋊C4×C73—22no—
546C22⋊C4×C73—22no—
547C22⋊C4×C73—22no—
548C22⋊C4×C73—22no—
549C22⋊C4×C73—22no—
550C22⋊C4×C73—22no—
551C22⋊C4×C73—22no—
552C22⋊C4×C73—22no—
553C22⋊C4×C73—22no—
554C22⋊C4×C73—22no—
555C22⋊C4×C73—22no—
556C22⋊C4×C73—22no—
557C22⋊C4×C73—22no—
558C22⋊C4×C73—41no—
559C22⋊C4×C73—41no—
560C22⋊C4×C73—41no—
561C22⋊C4×C73—41no—
562C22⋊C4×C73—41no—
563C22⋊C4×C73—41no—
564C22⋊C4×C73—41no—
565C22⋊C4×C73—41no—
566C22⋊C4×C73—41no—
567C22⋊C4×C73—41no—
568C22⋊C4×C73C2×D414yes—
569C22⋊C4×C73C2×D414yes—
570C22⋊C4×C73#4114yes—
571C42×C73—22no—
572C42×C73—22no—
573C42×C73—22no—
574C42×C73—22no—
575C42×C73—22no—
576C42×C73—22no—
577C42×C73—22no—
578C42×C73—22no—
579C42×C73—22no—
580C42×C73—22no—
581C42×C73—41no—
582C42×C73—41no—
583C42×C73—41no—
584C42×C73—41no—
585C23×C73—21no—
586C23×C73—21no—
587C23×C73—21no—
588C23×C73—21no—
589C23×C73—21no—
590C23×C73—21no—
591C23×C73—21no—
592C23×C73—21no—
593C23×C73—21no—
594C23×C73—21no—
595C23×C73—21no—
596C23×C73—21no—
597C23×C73—21no—
598C23×C73—21no—
599C23×C73—21no—
600C23×C73—21no—
601C23×C73—21no—
602C23×C73—21no—
603C23×C73—21no—
604C23×C73—21no—
605C23×C73—21no—
606C23×C73—21no—
607C23×C73—21no—
608C23×C73—21no—
609C23×C73—21no—
610C23×C73—21no—
611C23×C73—21no—
612C23×C73—21no—
613C23×C73—21no—
614C23×C73—21no—
615C23×C73—44no—
616C23×C73—44no—
617C23×C73—44no—
618C23×C73—44no—
619C23×C73—82no—
620C23×C73—82no—
621C23×C73—82no—
622C23×C73C22×D412yes—
623C23×C73C2×#4112yes—
624C23×C73C2×#4112yes—
625C23×C73C2×#4112yes—
626C23×C732−1+412yes—
627C23×C73C2511yescharacteristic
628Q8×C73—44no—
629Q8×C73—44no—
630Q8×C73—82no—
631D4×C73—28no—
632D4×C73—44no—
633D4×C73—44no—
634D4×C73—44no—
635D4×C73—44no—
636D4×C73—82no—
637D4×C73—82no—
638C2×C4×C73—21no—
639C2×C4×C73—21no—
640C2×C4×C73—21no—
641C2×C4×C73—21no—
642C2×C4×C73—21no—
643C2×C4×C73—21no—
644C2×C4×C73—21no—
645C2×C4×C73—21no—
646C2×C4×C73—21no—
647C2×C4×C73—21no—
648C2×C4×C73—21no—
649C2×C4×C73—21no—
650C2×C4×C73—21no—
651C2×C4×C73—21no—
652C2×C4×C73—21no—
653C2×C4×C73—21no—
654C2×C4×C73—21no—
655C2×C4×C73—21no—
656C2×C4×C73—21no—
657C2×C4×C73—21no—
658C2×C4×C73—21no—
659C2×C4×C73—21no—
660C2×C4×C73—21no—
661C2×C4×C73—21no—
662C2×C4×C73—21no—
663C2×C4×C73—21no—
664C2×C4×C73—21no—
665C2×C4×C73—21no—
666C2×C4×C73—21no—
667C2×C4×C73—21no—
668C2×C4×C73—21no—
669C2×C4×C73—21no—
670C2×C4×C73—21no—
671C2×C4×C73—21no—
672C2×C4×C73—21no—
673C2×C4×C73—21no—
674C2×C4×C73—21no—
675C2×C4×C73—21no—
676C2×C4×C73—21no—
677C2×C4×C73—21no—
678C2×C4×C73—21no—
679C2×C4×C73—21no—
680C2×C4×C73—21no—
681C2×C4×C73—21no—
682C2×C4×C73—21no—
683C2×C4×C73—21no—
684C2×C4×C73—21no—
685C2×C4×C73—21no—
686C2×C4×C73—21no—
687C2×C4×C73—21no—
688C2×C4×C73—21no—
689C2×C4×C73—21no—
690C2×C4×C73—21no—
691C2×C4×C73—21no—
692C2×C4×C73—21no—
693C2×C4×C73—21no—
694C2×C4×C73—21no—
695C2×C4×C73—21no—
696C2×C4×C73—21no—
697C2×C4×C73—21no—
698C2×C4×C73—21no—
699C2×C4×C73—21no—
700C2×C4×C73—21no—
701C2×C4×C73—21no—
702C2×C4×C73—21no—
703C2×C4×C73—21no—
704C2×C4×C73—21no—
705C2×C4×C73—21no—
706C2×C4×C73—44no—
707C2×C4×C73—44no—
708C2×C4×C73—44no—
709C2×C4×C73—44no—
710C2×C4×C73—44no—
711C2×C4×C73—44no—
712C2×C4×C73—44no—
713C2×C4×C73—82no—
714C2×C4×C73—82no—
715C2×C4×C73—82no—
716C2×C4×C73—82no—
717C2×C4×C73—82no—
718C2×C4×C73C22×D412yes—
719C2×C4×C73C22×D412yes—
720C2×C4×C73C22×D412yes—
721C2×C4×C73C22×D412yes—
722C2×C4×C73C22×D412yes—
723C2×C4×C73C22×D412yes—
724C2×C4×C73C2×#4112yes—
725C2×C4×C73C2×#4112yes—
726C2×C4×C73C2×#4112yes—
727C2×C4×C73H(5,𝔽2)12yes—
728C22×C73—22no—
729C22×C73—22no—
730C22×C73—22no—
731C22×C73—22no—
732C22×C73—22no—
733C22×C73—22no—
734C22×C73—22no—
735C22×C73—22no—
736C22×C73—22no—
737C22×C73—22no—
738C22×C73—22no—
739C22×C73—22no—
740C22×C73—41no—
741C22×C73—41no—
742C22×C73—41no—
743C22×C73—41no—
744C22×C73—41no—
745C22×C73—41no—
746C22×C73—41no—
747C22×C73—41no—
748C22×C73—41no—
749C22×C73—41no—
750C22×C73—41no—
751C22×C73—41no—
752C22×C73—41no—
753C22×C73—41no—
754C22×C73—41no—
755C22×C73—41no—
756C22×C73—41no—
757C22×C73—41no—
758C22×C73—41no—
759C22×C73—41no—
760C22×C73—41no—
761C22×C73—41no—
762C22×C73—88no—
763C22×C73#54814yes—
764C22×C73C23×D411yescharacteristic
765C22×C73C22×#4111yescharacteristic
766C22×C73C22×#4111yescharacteristic
767C22×C73C2×H(5,𝔽2)11yescharacteristic
768C22×C73C2×2−1+411yescharacteristic
769C22×C73#58511yescharacteristic
770C22×C73#58511yescharacteristic
771C4×C73—22no—
772C4×C73—22no—
773C4×C73—22no—
774C4×C73—22no—
775C4×C73—22no—
776C4×C73—22no—
777C4×C73—22no—
778C4×C73—22no—
779C4×C73—22no—
780C4×C73—22no—
781C4×C73—41no—
782C4×C73—41no—
783C4×C73—41no—
784C4×C73—41no—
785C4×C73—41no—
786C4×C73—41no—
787C4×C73—41no—
788C4×C73—41no—
789C4×C73—41no—
790C4×C73—41no—
791C4×C73—41no—
792C4×C73—41no—
793C4×C73—41no—
794C4×C73—41no—
795C4×C73—41no—
796C4×C73—41no—
797#59648C7311yesmaximal, characteristic, direct product factor, Sylow
798C2×C73—24no—
799C2×C73—42no—
800C2×C73—42no—
801C2×C73—81no—
802C2×C73—81no—
803C2×C73C2×#54811yescharacteristic
804C2×C73D4×#4111yescharacteristic
805C2×C73#348111yescharacteristic
806C2×C73#349511yescharacteristic
807C2×C73#349611yescharacteristic
808C2×C73#352111yescharacteristic
809C2×C73#353511yescharacteristic
810C2×#554C2×C7311yescharacteristic, complemented
811C2×#551C2×C7311yescharacteristic, complemented
812#2730C2×C7311yescharacteristic, complemented
813#2729C2×C7311yescharacteristic, complemented
814#2725C2×C7311yescharacteristic, complemented
815#2681C2×C7311yescharacteristic, complemented
816#2579C2×C7311yescharacteristic, complemented
817#2560C2×C7311yescharacteristic, complemented
818#2558C2×C7311yescharacteristic, complemented
819#2545C2×C7311yescharacteristic, complemented
820#2536C2×C7311yescharacteristic, complemented
821#2534C2×C7311yescharacteristic, complemented
822#2519C2×C7311yescharacteristic, complemented
823#2488C2×C7311yescharacteristic, complemented
824#2481C2×C7311yescharacteristic, complemented
825#2477C2×C7311yescharacteristic, complemented
826#2472C2×C7311yescharacteristic, complemented
827#2461C2×C7311yescharacteristic, complemented
828#2460C2×C7311yescharacteristic, complemented
829#2458C2×C7311yescharacteristic, complemented
830#2438C2×C7311yescharacteristic, complemented
831#2437C2×C7311yescharacteristic, complemented
832#2425C2×C7311yescharacteristic, complemented
833#2424C2×C7311yescharacteristic
834#2362C2×C7311yescharacteristic, complemented
835#2361C2×C7311yescharacteristic, complemented
836#2359C2×C7311yescharacteristic, complemented
837#2358C2×C7311yescharacteristic, complemented
838C4×C22⋊Q8C2×C7311yescharacteristic, complemented
839C4×#121C2×C7311yescharacteristic, complemented
840C2×#388C2×C7311yescharacteristic, complemented
841C73#5964811yescharacteristic, direct product factor, Sylow
842#554—28no—
843#551—28no—
844C2×C4⋊Q8C22×C7311yescharacteristic, complemented
845C2×#126C22×C7311yescharacteristic
846C2×#126C22×C7311yescharacteristic
847C2×#125C22×C7311yescharacteristic, complemented
848C2×#125C22×C7311yescharacteristic, complemented
849C2×#124C22×C7311yescharacteristic
850C2×#124C22×C7311yescharacteristic
851C2×#123C22×C7311yescharacteristic
852C2×#123C22×C7311yescharacteristic
853C2×#123C22×C7311yescharacteristic
854C2×#123C22×C7311yescharacteristic
855C2×C22⋊Q8C22×C7311yescharacteristic
856C2×C22⋊Q8C22×C7311yescharacteristic
857C2×C22⋊Q8C22×C7311yescharacteristic
858C2×C22⋊Q8C22×C7311yescharacteristic
859C2×C22⋊Q8C22×C7311yescharacteristic
860C2×C22⋊Q8C22×C7311yescharacteristic, complemented
861C2×C22⋊Q8C22×C7311yescharacteristic, complemented
862C2×C22⋊Q8C22×C7311yescharacteristic, complemented
863C2×#121C22×C7311yescharacteristic
864C2×#121C22×C7311yescharacteristic
865C2×#120C22×C7311yescharacteristic
866C2×#120C22×C7311yescharacteristic
867C2×C4×Q8C22×C7311yescharacteristic, complemented
868C2×C4×Q8C22×C7311yescharacteristic, complemented
869C2×C4×D4C22×C7311yescharacteristic
870C2×C4×D4C22×C7311yescharacteristic
871C2×C4×D4C22×C7311yescharacteristic
872C2×C4×D4C22×C7311yescharacteristic
873C2×C4×D4C22×C7311yescharacteristic
874C2×C4×D4C22×C7311yescharacteristic
875C2×C4×D4C22×C7311yescharacteristic, complemented
876C2×#117C22×C7311yescharacteristic
877C2×#117C22×C7311yescharacteristic
878C22×C4⋊C4C22×C7311yescharacteristic
879C22×C4⋊C4C22×C7311yescharacteristic, complemented
880C22×C22⋊C4C22×C7311yescharacteristic
881C22×C22⋊C4C22×C7311yescharacteristic
882C22×C22⋊C4C22×C7311yescharacteristic
883C22×C22⋊C4C22×C7311yescharacteristic
884C22×C42C22×C7311yescharacteristic
885#400C22×C7311yescharacteristic, complemented
886#400C22×C7311yescharacteristic, complemented
887#400C22×C7311yescharacteristic, complemented
888#399C22×C7311yescharacteristic
889#398C22×C7311yescharacteristic, complemented
890#398C22×C7311yescharacteristic, complemented
891#398C22×C7311yescharacteristic, complemented
892#398C22×C7311yescharacteristic, complemented
893#398C22×C7311yescharacteristic, complemented
894#397C22×C7311yescharacteristic
895#397C22×C7311yescharacteristic, complemented
896#397C22×C7311yescharacteristic, complemented
897#396C22×C7311yescharacteristic
898#396C22×C7311yescharacteristic
899#396C22×C7311yescharacteristic
900#396C22×C7311yescharacteristic
901#396C22×C7311yescharacteristic
902#396C22×C7311yescharacteristic, complemented
903#396C22×C7311yescharacteristic, complemented
904#396C22×C7311yescharacteristic, complemented
905#395C22×C7311yescharacteristic, complemented
906#394C22×C7311yescharacteristic
907#394C22×C7311yescharacteristic
908#394C22×C7311yescharacteristic
909#394C22×C7311yescharacteristic
910#394C22×C7311yescharacteristic
911#394C22×C7311yescharacteristic
912#394C22×C7311yescharacteristic, complemented
913#393C22×C7311yescharacteristic
914#393C22×C7311yescharacteristic
915#393C22×C7311yescharacteristic, complemented
916#392C22×C7311yescharacteristic
917#391C22×C7311yescharacteristic, complemented
918#391C22×C7311yescharacteristic, complemented
919#391C22×C7311yescharacteristic, complemented
920#390C22×C7311yescharacteristic
921#390C22×C7311yescharacteristic
922#390C22×C7311yescharacteristic
923#390C22×C7311yescharacteristic, complemented
924#389C22×C7311yescharacteristic, complemented
925#389C22×C7311yescharacteristic, complemented
926#389C22×C7311yescharacteristic, complemented
927#389C22×C7311yescharacteristic, complemented
928#389C22×C7311yescharacteristic, complemented
929#388C22×C7311yescharacteristic
930#388C22×C7311yescharacteristic
931#388C22×C7311yescharacteristic
932#388C22×C7311yescharacteristic
933#388C22×C7311yescharacteristic
934#388C22×C7311yescharacteristic
935#388C22×C7311yescharacteristic
936#388C22×C7311yescharacteristic
937#388C22×C7311yescharacteristic
938#388C22×C7311yescharacteristic
939#388C22×C7311yescharacteristic
940#388C22×C7311yescharacteristic
941#388C22×C7311yescharacteristic
942#388C22×C7311yescharacteristic
943#388C22×C7311yescharacteristic
944#388C22×C7311yescharacteristic, complemented
945#388C22×C7311yescharacteristic, complemented
946#388C22×C7311yescharacteristic, complemented
947#388C22×C7311yescharacteristic, complemented
948#388C22×C7311yescharacteristic, complemented
949#388C22×C7311yescharacteristic, complemented
950#388C22×C7311yescharacteristic, complemented
951#387C22×C7311yescharacteristic, complemented
952#387C22×C7311yescharacteristic, complemented
953#387C22×C7311yescharacteristic, complemented
954#387C22×C7311yescharacteristic, complemented
955#387C22×C7311yescharacteristic, complemented
956#387C22×C7311yescharacteristic, complemented
957#387C22×C7311yescharacteristic, complemented
958#387C22×C7311yescharacteristic, complemented
959#386C22×C7311yescharacteristic
960#386C22×C7311yescharacteristic
961#386C22×C7311yescharacteristic
962#386C22×C7311yescharacteristic
963#386C22×C7311yescharacteristic
964#386C22×C7311yescharacteristic
965#386C22×C7311yescharacteristic
966#386C22×C7311yescharacteristic
967#386C22×C7311yescharacteristic
968#386C22×C7311yescharacteristic, complemented
969#385C22×C7311yescharacteristic
970#385C22×C7311yescharacteristic
971#385C22×C7311yescharacteristic
972#385C22×C7311yescharacteristic
973#385C22×C7311yescharacteristic
974#385C22×C7311yescharacteristic
975#385C22×C7311yescharacteristic
976#385C22×C7311yescharacteristic, complemented
977#385C22×C7311yescharacteristic, complemented
978#385C22×C7311yescharacteristic, complemented
979#382C22×C7311yescharacteristic, complemented
980#381C22×C7311yescharacteristic
981#380C22×C7311yescharacteristic
982#380C22×C7311yescharacteristic
983#380C22×C7311yescharacteristic
984#380C22×C7311yescharacteristic, complemented
985#379C22×C7311yescharacteristic
986C4×C4⋊C4C22×C7311yescharacteristic, complemented
987C4×C4⋊C4C22×C7311yescharacteristic, complemented
988C4×C4⋊C4C22×C7311yescharacteristic, complemented
989C4×C4⋊C4C22×C7311yescharacteristic, complemented
990C4×C4⋊C4C22×C7311yescharacteristic, complemented
991C4×C22⋊C4C22×C7311yescharacteristic
992C4×C22⋊C4C22×C7311yescharacteristic
993C4×C22⋊C4C22×C7311yescharacteristic
994C4×C22⋊C4C22×C7311yescharacteristic, complemented
995C4×C22⋊C4C22×C7311yescharacteristic, complemented
996C4×C22⋊C4C22×C7311yescharacteristic, complemented
997C2×#95C22×C7311yescharacteristic
998C2×#95C22×C7311yescharacteristic
999C25C23×C7311yescharacteristic
1000C22×Q8C23×C7311yescharacteristic
1001C22×Q8C23×C7311yescharacteristic
1002C22×Q8C23×C7311yescharacteristic
1003C22×D4C23×C7311yescharacteristic
1004C22×D4C23×C7311yescharacteristic
1005C22×D4C23×C7311yescharacteristic
1006C22×D4C23×C7311yescharacteristic
1007C22×D4C23×C7311yescharacteristic
1008C22×D4C23×C7311yescharacteristic
1009C22×D4C23×C7311yescharacteristic
1010C23×C4C23×C7311yescharacteristic
1011C23×C4C23×C7311yescharacteristic
1012C23×C4C23×C7311yescharacteristic
1013C23×C4C23×C7311yescharacteristic
1014C23×C4C23×C7311yescharacteristic
1015C23×C4C23×C7311yescharacteristic
1016C23×C4C23×C7311yescharacteristic
1017C23×C4C23×C7311yescharacteristic
1018C23×C4C23×C7311yescharacteristic
1019C23×C4C23×C7311yescharacteristic
1020C23×C4C23×C7311yescharacteristic
1021C23×C4C23×C7311yescharacteristic
1022C4⋊Q8—24no—
1023#126—24no—
1024#126—24no—
1025#125—24no—
1026#125—24no—
1027#124—24no—
1028#124—42no—
1029#123—24no—
1030#123—24no—
1031#123—24no—
1032#123—24no—
1033C22⋊Q8—24no—
1034C22⋊Q8—24no—
1035C22⋊Q8—24no—
1036C22⋊Q8—24no—
1037C22⋊Q8—24no—
1038C22⋊Q8—24no—
1039C22⋊Q8—24no—
1040C22⋊Q8D4×C7318yescomplemented
1041#121—24no—
1042#121—24no—
1043#120—24no—
1044#120—24no—
1045C4×Q8—24no—
1046C4×Q8—42no—
1047C4×D4—24no—
1048C4×D4—24no—
1049C4×D4—24no—
1050C4×D4—24no—
1051C4×D4—24no—
1052C4×D4—42no—
1053C4×D4—42no—
1054#117—24no—
1055#117—24no—
1056C2×C4⋊C4—24no—
1057C2×C4⋊C4—24no—
1058C2×C4⋊C4C23×C7311yescharacteristic
1059C2×C4⋊C4C23×C7311yescharacteristic
1060C2×C4⋊C4C23×C7311yescharacteristic
1061C2×C4⋊C4C23×C7311yescharacteristic
1062C2×C4⋊C4C23×C7311yescharacteristic
1063C2×C4⋊C4C23×C7311yescharacteristic
1064C2×C4⋊C4C23×C7311yescharacteristic
1065C2×C4⋊C4C23×C7311yescharacteristic
1066C2×C4⋊C4C23×C7311yescharacteristic
1067C2×C4⋊C4C23×C7311yescharacteristic
1068C2×C4⋊C4C23×C7311yescharacteristic
1069C2×C4⋊C4C23×C7311yescharacteristic
1070C2×C4⋊C4C23×C7311yescharacteristic
1071C2×C4⋊C4C23×C7311yescharacteristic
1072C2×C4⋊C4C23×C7311yescharacteristic
1073C2×C4⋊C4C23×C7311yescharacteristic
1074C2×C4⋊C4C23×C7311yescharacteristic
1075C2×C4⋊C4C23×C7311yescharacteristic
1076C2×C4⋊C4C23×C7311yescharacteristic
1077C2×C4⋊C4C23×C7311yescharacteristic
1078C2×C4⋊C4C23×C7311yescharacteristic
1079C2×C4⋊C4C23×C7311yescharacteristic
1080C2×C4⋊C4C23×C7311yescharacteristic
1081C2×C4⋊C4C23×C7311yescharacteristic
1082C2×C4⋊C4C23×C7311yescharacteristic
1083C2×C4⋊C4C23×C7311yescharacteristic
1084C2×C4⋊C4C23×C7311yescharacteristic
1085C2×C4⋊C4C23×C7311yescharacteristic
1086C2×C4⋊C4C23×C7311yescharacteristic
1087C2×C4⋊C4C23×C7311yescharacteristic
1088C2×C4⋊C4C23×C7311yescharacteristic
1089C2×C4⋊C4C23×C7311yescharacteristic
1090C2×C4⋊C4C23×C7311yescharacteristic
1091C2×C4⋊C4C23×C7311yescharacteristic
1092C2×C4⋊C4C23×C7311yescharacteristic
1093C2×C4⋊C4C23×C7311yescharacteristic
1094C2×C22⋊C4—24no—
1095C2×C22⋊C4—24no—
1096C2×C22⋊C4—24no—
1097C2×C22⋊C4—42no—
1098C2×C22⋊C4C23×C7311yescharacteristic
1099C2×C22⋊C4C23×C7311yescharacteristic
1100C2×C22⋊C4C23×C7311yescharacteristic
1101C2×C22⋊C4C23×C7311yescharacteristic
1102C2×C22⋊C4C23×C7311yescharacteristic
1103C2×C22⋊C4C23×C7311yescharacteristic
1104C2×C22⋊C4C23×C7311yescharacteristic
1105C2×C22⋊C4C23×C7311yescharacteristic
1106C2×C22⋊C4C23×C7311yescharacteristic
1107C2×C22⋊C4C23×C7311yescharacteristic
1108C2×C22⋊C4C23×C7311yescharacteristic
1109C2×C22⋊C4C23×C7311yescharacteristic
1110C2×C22⋊C4C23×C7311yescharacteristic
1111C2×C22⋊C4C23×C7311yescharacteristic
1112C2×C22⋊C4C23×C7311yescharacteristic
1113C2×C22⋊C4C23×C7311yescharacteristic
1114C2×C22⋊C4C23×C7311yescharacteristic
1115C2×C22⋊C4C23×C7311yescharacteristic
1116C2×C22⋊C4C23×C7311yescharacteristic
1117C2×C22⋊C4C23×C7311yescharacteristic
1118C2×C22⋊C4C23×C7311yescharacteristic
1119C2×C22⋊C4C23×C7311yescharacteristic
1120C2×C22⋊C4C23×C7311yescharacteristic
1121C2×C22⋊C4C23×C7311yescharacteristic
1122C2×C22⋊C4C23×C7311yescharacteristic
1123C2×C22⋊C4C23×C7311yescharacteristic
1124C2×C22⋊C4C23×C7311yescharacteristic
1125C2×C22⋊C4C23×C7311yescharacteristic
1126C2×C22⋊C4C23×C7311yescharacteristic
1127C2×C22⋊C4C23×C7311yescharacteristic
1128C2×C22⋊C4C23×C7311yescharacteristic
1129C2×C22⋊C4C23×C7311yescharacteristic
1130C2×C22⋊C4C23×C7311yescharacteristic
1131C2×C22⋊C4C23×C7311yescharacteristic
1132C2×C22⋊C4C23×C7311yescharacteristic
1133C2×C22⋊C4C23×C7311yescharacteristic
1134C2×C22⋊C4C23×C7311yescharacteristic
1135C2×C22⋊C4C23×C7311yescharacteristic
1136C2×C22⋊C4C23×C7311yescharacteristic
1137C2×C22⋊C4C23×C7311yescharacteristic
1138C2×C22⋊C4C23×C7311yescharacteristic
1139C2×C22⋊C4C23×C7311yescharacteristic
1140C2×C22⋊C4C23×C7311yescharacteristic
1141C2×C22⋊C4C23×C7311yescharacteristic
1142C2×C22⋊C4C23×C7311yescharacteristic
1143C2×C22⋊C4C23×C7311yescharacteristic
1144C2×C42—42no—
1145C2×C42C23×C7311yescharacteristic
1146C2×C42C23×C7311yescharacteristic
1147C2×C42C23×C7311yescharacteristic
1148C2×C42C23×C7311yescharacteristic
1149C2×C42C23×C7311yescharacteristic
1150C2×C42C23×C7311yescharacteristic
1151C2×C42C23×C7311yescharacteristic
1152C2×C42C23×C7311yescharacteristic
1153C2×C42C23×C7311yescharacteristic
1154C2×C42C23×C7311yescharacteristic
1155C2×C42C23×C7311yescharacteristic
1156C2×C42C23×C7311yescharacteristic
1157C2×C42C23×C7311yescharacteristic
1158C2×C42C23×C7311yescharacteristic
1159#95C23×C7311yescharacteristic
1160#95C23×C7311yescharacteristic
1161#95C23×C7311yescharacteristic
1162#95C23×C7311yescharacteristic
1163#95C23×C7311yescharacteristic
1164#95C23×C7311yescharacteristic
1165#95C23×C7311yescharacteristic
1166#95C23×C7311yescharacteristic
1167#95C23×C7311yescharacteristic
1168#95C23×C7311yescharacteristic
1169#95C23×C7311yescharacteristic
1170#95C23×C7311yescharacteristic
1171#95C23×C7311yescharacteristic
1172#95C23×C7311yescharacteristic
1173#95C23×C7311yescharacteristic
1174#95C23×C7311yescharacteristic
1175#95C23×C7311yescharacteristic
1176#95C23×C7311yescharacteristic
1177#95C23×C7311yescharacteristic
1178#95C23×C7311yescharacteristic
1179#95C23×C7311yescharacteristic
1180#95C23×C7311yescharacteristic
1181#95C23×C7311yescharacteristic
1182#95C23×C7311yescharacteristic
1183#95C23×C7311yescharacteristic
1184#95C23×C7311yescharacteristic
1185#95C23×C7311yescharacteristic
1186#95C23×C7311yescharacteristic
1187#95C23×C7311yescharacteristic
1188#95C23×C7311yescharacteristic
1189#95C23×C7311yescharacteristic
1190#95C23×C7311yescharacteristic
1191#95C23×C7311yescharacteristic
1192#95C23×C7311yescharacteristic
1193#95C23×C7311yescharacteristic
1194#95C23×C7311yescharacteristic
1195C24—22no—
1196C24—22no—
1197C24—22no—
1198C24—22no—
1199C24—41no—
1200C24—41no—
1201C24—41no—
1202C24C24×C7311yescharacteristic
1203C24C24×C7311yescharacteristic
1204C24C24×C7311yescharacteristic
1205C24C24×C7311yescharacteristic
1206C24C24×C7311yescharacteristic
1207C2×Q8—22no—
1208C2×Q8—22no—
1209C2×Q8—22no—
1210C2×Q8—41no—
1211C2×Q8—41no—
1212C2×Q8—41no—
1213C2×Q8—41no—
1214C2×Q8—41no—
1215C2×Q8C2×D4×C7314yes—
1216C2×D4—22no—
1217C2×D4—22no—
1218C2×D4—22no—
1219C2×D4—22no—
1220C2×D4—22no—
1221C2×D4—22no—
1222C2×D4—22no—
1223C2×D4—22no—
1224C2×D4—22no—
1225C2×D4—22no—
1226C2×D4—22no—
1227C2×D4—22no—
1228C2×D4—22no—
1229C2×D4—41no—
1230C2×D4—41no—
1231C2×D4—41no—
1232C2×D4—41no—
1233C2×D4—41no—
1234C2×D4—41no—
1235C2×D4—41no—
1236C2×D4#41×C7314yes—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—22no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—22no—
1251C22×C4—22no—
1252C22×C4—22no—
1253C22×C4—22no—
1254C22×C4—22no—
1255C22×C4—41no—
1256C22×C4—41no—
1257C22×C4—41no—
1258C22×C4—41no—
1259C22×C4—41no—
1260C22×C4—41no—
1261C22×C4—41no—
1262C22×C4—41no—
1263C22×C4—41no—
1264C22×C4—41no—
1265C22×C4—41no—
1266C22×C4—41no—
1267C22×C4—41no—
1268C22×C4—41no—
1269C22×C4—41no—
1270C22×C4—41no—
1271C22×C4—41no—
1272C22×C4C2×D4×C7314yes—
1273C22×C4C24×C7311yescharacteristic
1274C22×C4C24×C7311yescharacteristic
1275C22×C4C24×C7311yescharacteristic
1276C22×C4C24×C7311yescharacteristic
1277C22×C4C24×C7311yescharacteristic
1278C22×C4C24×C7311yescharacteristic
1279C22×C4C24×C7311yescharacteristic
1280C22×C4C24×C7311yescharacteristic
1281C22×C4C24×C7311yescharacteristic
1282C22×C4C24×C7311yescharacteristic
1283C22×C4C24×C7311yescharacteristic
1284C22×C4C24×C7311yescharacteristic
1285C22×C4C24×C7311yescharacteristic
1286C22×C4C24×C7311yescharacteristic
1287C22×C4C24×C7311yescharacteristic
1288C22×C4C24×C7311yescharacteristic
1289C22×C4C24×C7311yescharacteristic
1290C22×C4C24×C7311yescharacteristic
1291C22×C4C24×C7311yescharacteristic
1292C22×C4C24×C7311yescharacteristic
1293C22×C4C24×C7311yescharacteristic
1294C22×C4C24×C7311yescharacteristic
1295C22×C4C24×C7311yescharacteristic
1296C22×C4C24×C7311yescharacteristic
1297C22×C4C24×C7311yescharacteristic
1298C22×C4C24×C7311yescharacteristic
1299C4⋊C4—22no—
1300C4⋊C4—22no—
1301C4⋊C4—22no—
1302C4⋊C4—22no—
1303C4⋊C4—22no—
1304C4⋊C4—22no—
1305C4⋊C4—22no—
1306C4⋊C4—22no—
1307C4⋊C4—22no—
1308C4⋊C4—22no—
1309C4⋊C4—22no—
1310C4⋊C4—22no—
1311C4⋊C4—22no—
1312C4⋊C4—22no—
1313C4⋊C4—22no—
1314C4⋊C4—22no—
1315C4⋊C4—22no—
1316C4⋊C4—22no—
1317C4⋊C4—22no—
1318C4⋊C4—22no—
1319C4⋊C4—22no—
1320C4⋊C4—22no—
1321C4⋊C4—22no—
1322C4⋊C4—22no—
1323C4⋊C4—22no—
1324C4⋊C4—41no—
1325C4⋊C4—41no—
1326C4⋊C4—41no—
1327C4⋊C4—41no—
1328C4⋊C4—41no—
1329C4⋊C4—41no—
1330C4⋊C4—41no—
1331C4⋊C4—41no—
1332C4⋊C4C2×D4×C7314yes—
1333C4⋊C4C2×D4×C7314yes—
1334C4⋊C4C2×D4×C7314yes—
1335C22⋊C4—22no—
1336C22⋊C4—22no—
1337C22⋊C4—22no—
1338C22⋊C4—22no—
1339C22⋊C4—22no—
1340C22⋊C4—22no—
1341C22⋊C4—22no—
1342C22⋊C4—22no—
1343C22⋊C4—22no—
1344C22⋊C4—22no—
1345C22⋊C4—22no—
1346C22⋊C4—22no—
1347C22⋊C4—22no—
1348C22⋊C4—22no—
1349C22⋊C4—22no—
1350C22⋊C4—22no—
1351C22⋊C4—22no—
1352C22⋊C4—22no—
1353C22⋊C4—22no—
1354C22⋊C4—22no—
1355C22⋊C4—22no—
1356C22⋊C4—22no—
1357C22⋊C4—22no—
1358C22⋊C4—22no—
1359C22⋊C4—22no—
1360C22⋊C4—22no—
1361C22⋊C4—22no—
1362C22⋊C4—22no—
1363C22⋊C4—22no—
1364C22⋊C4—22no—
1365C22⋊C4—22no—
1366C22⋊C4—22no—
1367C22⋊C4—22no—
1368C22⋊C4—41no—
1369C22⋊C4—41no—
1370C22⋊C4—41no—
1371C22⋊C4—41no—
1372C22⋊C4—41no—
1373C22⋊C4—41no—
1374C22⋊C4—41no—
1375C22⋊C4—41no—
1376C22⋊C4—41no—
1377C22⋊C4—41no—
1378C22⋊C4C2×D4×C7314yes—
1379C22⋊C4C2×D4×C7314yes—
1380C22⋊C4#41×C7314yes—
1381C42—22no—
1382C42—22no—
1383C42—22no—
1384C42—22no—
1385C42—22no—
1386C42—22no—
1387C42—22no—
1388C42—22no—
1389C42—22no—
1390C42—22no—
1391C42—41no—
1392C42—41no—
1393C42—41no—
1394C42—41no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—44no—
1426C23—44no—
1427C23—44no—
1428C23—44no—
1429C23—82no—
1430C23—82no—
1431C23—82no—
1432C23C22×D4×C7312yes—
1433C23C2×#41×C7312yes—
1434C23C2×#41×C7312yes—
1435C23C2×#41×C7312yes—
1436C232−1+4×C7312yes—
1437C23C25×C7311yescharacteristic
1438Q8—44no—
1439Q8—44no—
1440Q8—82no—
1441D4—28no—
1442D4—44no—
1443D4—44no—
1444D4—44no—
1445D4—44no—
1446D4—82no—
1447D4—82no—
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—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—44no—
1517C2×C4—44no—
1518C2×C4—44no—
1519C2×C4—44no—
1520C2×C4—44no—
1521C2×C4—44no—
1522C2×C4—44no—
1523C2×C4—82no—
1524C2×C4—82no—
1525C2×C4—82no—
1526C2×C4—82no—
1527C2×C4—82no—
1528C2×C4C22×D4×C7312yes—
1529C2×C4C22×D4×C7312yes—
1530C2×C4C22×D4×C7312yes—
1531C2×C4C22×D4×C7312yes—
1532C2×C4C22×D4×C7312yes—
1533C2×C4C22×D4×C7312yes—
1534C2×C4C2×#41×C7312yes—
1535C2×C4C2×#41×C7312yes—
1536C2×C4C2×#41×C7312yes—
1537C2×C4H(5,𝔽2)×C7312yes—
1538C22—22no—
1539C22—22no—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—22no—
1546C22—22no—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—88no—
1573C22#548×C7314yes—
1574C22C23×D4×C7311yescharacteristic
1575C22C22×#41×C7311yescharacteristic
1576C22C22×#41×C7311yescharacteristic
1577C22C2×H(5,𝔽2)×C7311yescharacteristic
1578C22C2×2−1+4×C7311yescharacteristic
1579C22#585×C7311yescharacteristic
1580C22#585×C7311yescharacteristic
1581C4—22no—
1582C4—22no—
1583C4—22no—
1584C4—22no—
1585C4—22no—
1586C4—22no—
1587C4—22no—
1588C4—22no—
1589C4—22no—
1590C4—22no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C2—24no—
1608C2—42no—
1609C2—42no—
1610C2—81no—
1611C2—81no—
1612C2C2×#548×C7311yescharacteristic
1613C2D4×#41×C7311yescharacteristic
1614C2C73×#348111yescharacteristic
1615C2C73×#349511yescharacteristic
1616C2C73×#349611yescharacteristic
1617C2C73×#352111yescharacteristic
1618C2C73×#353511yescharacteristic
subgroupG/H
center, socleC23×C73C25
commutator, Frattini, cosocleC23C25×C73
prime radicalC73×#2424C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C73 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×#554×C73C2semidirect
2. C2×#551×C73C2semidirect
3. C73×#2730C2semidirect
4. C73×#2729C2semidirect
5. C73×#2725C2semidirect
6. C73×#2681C2semidirect
7. C73×#2579C2semidirect
8. C73×#2560C2semidirect
9. C73×#2558C2semidirect
10. C73×#2545C2semidirect
11. C73×#2536C2semidirect
12. C73×#2534C2semidirect
13. C73×#2519C2semidirect
14. C73×#2488C2semidirect
15. C73×#2481C2semidirect
16. C73×#2477C2semidirect
17. C73×#2472C2semidirect
18. C73×#2461C2semidirect
19. C73×#2460C2semidirect
20. C73×#2458C2semidirect
21. C73×#2438C2semidirect
22. C73×#2437C2semidirect
23. C73×#2425C2semidirect
25. C73×#2362C2semidirect
26. C73×#2361C2semidirect
27. C73×#2359C2semidirect
28. C73×#2358C2semidirect
29. C4×C22⋊Q8×C73C2semidirect
30. C4×#121×C73C2semidirect
31. C2×#388×C73C2semidirect
34. C2×C4⋊Q8×C73C22semidirect
37. C2×#125×C73C22semidirect
38. C2×#125×C73C22semidirect
50. C2×C22⋊Q8×C73C22semidirect
51. C2×C22⋊Q8×C73C22semidirect
52. C2×C22⋊Q8×C73C22semidirect
57. C2×C4×Q8×C73C22semidirect
58. C2×C4×Q8×C73C22semidirect
65. C2×C4×D4×C73C22semidirect
69. C22×C4⋊C4×C73C22semidirect
75. #400×C73C22semidirect
76. #400×C73C22semidirect
77. #400×C73C22semidirect
79. #398×C73C22semidirect
80. #398×C73C22semidirect
81. #398×C73C22semidirect
82. #398×C73C22semidirect
83. #398×C73C22semidirect
85. #397×C73C22semidirect
86. #397×C73C22semidirect
92. #396×C73C22semidirect
93. #396×C73C22semidirect
94. #396×C73C22semidirect
95. #395×C73C22semidirect
102. #394×C73C22semidirect
105. #393×C73C22semidirect
107. #391×C73C22semidirect
108. #391×C73C22semidirect
109. #391×C73C22semidirect
113. #390×C73C22semidirect
114. #389×C73C22semidirect
115. #389×C73C22semidirect
116. #389×C73C22semidirect
117. #389×C73C22semidirect
118. #389×C73C22semidirect
134. #388×C73C22semidirect
135. #388×C73C22semidirect
136. #388×C73C22semidirect
137. #388×C73C22semidirect
138. #388×C73C22semidirect
139. #388×C73C22semidirect
140. #388×C73C22semidirect
141. #387×C73C22semidirect
142. #387×C73C22semidirect
143. #387×C73C22semidirect
144. #387×C73C22semidirect
145. #387×C73C22semidirect
146. #387×C73C22semidirect
147. #387×C73C22semidirect
148. #387×C73C22semidirect
158. #386×C73C22semidirect
166. #385×C73C22semidirect
167. #385×C73C22semidirect
168. #385×C73C22semidirect
169. #382×C73C22semidirect
174. #380×C73C22semidirect
176. C4×C4⋊C4×C73C22semidirect
177. C4×C4⋊C4×C73C22semidirect
178. C4×C4⋊C4×C73C22semidirect
179. C4×C4⋊C4×C73C22semidirect
180. C4×C4⋊C4×C73C22semidirect
184. C4×C22⋊C4×C73C22semidirect
185. C4×C22⋊C4×C73C22semidirect
186. C4×C22⋊C4×C73C22semidirect
230. C22⋊Q8×C73D4semidirect
797. #59648C73direct (N × H)
810. C2×#554C2×C73semidirect
811. C2×#551C2×C73semidirect
812. #2730C2×C73semidirect
813. #2729C2×C73semidirect
814. #2725C2×C73semidirect
815. #2681C2×C73semidirect
816. #2579C2×C73semidirect
817. #2560C2×C73semidirect
818. #2558C2×C73semidirect
819. #2545C2×C73semidirect
820. #2536C2×C73semidirect
821. #2534C2×C73semidirect
822. #2519C2×C73semidirect
823. #2488C2×C73semidirect
824. #2481C2×C73semidirect
825. #2477C2×C73semidirect
826. #2472C2×C73semidirect
827. #2461C2×C73semidirect
828. #2460C2×C73semidirect
829. #2458C2×C73semidirect
830. #2438C2×C73semidirect
831. #2437C2×C73semidirect
832. #2425C2×C73semidirect
834. #2362C2×C73semidirect
835. #2361C2×C73semidirect
836. #2359C2×C73semidirect
837. #2358C2×C73semidirect
838. C4×C22⋊Q8C2×C73semidirect
839. C4×#121C2×C73semidirect
840. C2×#388C2×C73semidirect
841. C73#59648direct (N × H)
844. C2×C4⋊Q8C22×C73semidirect
847. C2×#125C22×C73semidirect
848. C2×#125C22×C73semidirect
860. C2×C22⋊Q8C22×C73semidirect
861. C2×C22⋊Q8C22×C73semidirect
862. C2×C22⋊Q8C22×C73semidirect
867. C2×C4×Q8C22×C73semidirect
868. C2×C4×Q8C22×C73semidirect
875. C2×C4×D4C22×C73semidirect
879. C22×C4⋊C4C22×C73semidirect
885. #400C22×C73semidirect
886. #400C22×C73semidirect
887. #400C22×C73semidirect
889. #398C22×C73semidirect
890. #398C22×C73semidirect
891. #398C22×C73semidirect
892. #398C22×C73semidirect
893. #398C22×C73semidirect
895. #397C22×C73semidirect
896. #397C22×C73semidirect
902. #396C22×C73semidirect
903. #396C22×C73semidirect
904. #396C22×C73semidirect
905. #395C22×C73semidirect
912. #394C22×C73semidirect
915. #393C22×C73semidirect
917. #391C22×C73semidirect
918. #391C22×C73semidirect
919. #391C22×C73semidirect
923. #390C22×C73semidirect
924. #389C22×C73semidirect
925. #389C22×C73semidirect
926. #389C22×C73semidirect
927. #389C22×C73semidirect
928. #389C22×C73semidirect
944. #388C22×C73semidirect
945. #388C22×C73semidirect
946. #388C22×C73semidirect
947. #388C22×C73semidirect
948. #388C22×C73semidirect
949. #388C22×C73semidirect
950. #388C22×C73semidirect
951. #387C22×C73semidirect
952. #387C22×C73semidirect
953. #387C22×C73semidirect
954. #387C22×C73semidirect
955. #387C22×C73semidirect
956. #387C22×C73semidirect
957. #387C22×C73semidirect
958. #387C22×C73semidirect
968. #386C22×C73semidirect
976. #385C22×C73semidirect
977. #385C22×C73semidirect
978. #385C22×C73semidirect
979. #382C22×C73semidirect
984. #380C22×C73semidirect
986. C4×C4⋊C4C22×C73semidirect
987. C4×C4⋊C4C22×C73semidirect
988. C4×C4⋊C4C22×C73semidirect
989. C4×C4⋊C4C22×C73semidirect
990. C4×C4⋊C4C22×C73semidirect
994. C4×C22⋊C4C22×C73semidirect
995. C4×C22⋊C4C22×C73semidirect
996. C4×C22⋊C4C22×C73semidirect
1040. C22⋊Q8D4×C73semidirect

Maximal subgroups

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

subgroupindex
C2×#554×C732
C2×#551×C732
C73×#27302
C73×#27292
C73×#27252
C73×#26812
C73×#25792
C73×#25602
C73×#25582
C73×#25452
C73×#25362
C73×#25342
C73×#25192
C73×#24882
C73×#24812
C73×#24772
C73×#24722
C73×#24612
C73×#24602
C73×#24582
C73×#24382
C73×#24372
C73×#24252
C73×#24242
C73×#23622
C73×#23612
C73×#23592
C73×#23582
C4×C22⋊Q8×C732
C4×#121×C732
C2×#388×C732
#5964873