Finite Group Databasebeta

← C73×#34991 #32944395

Subgroups — C73×#34991 #32944395

Order 18688.

2878 conjugacy classes of subgroups.

The subgroup lattice has 1724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#539×C73C211yesmaximal, characteristic, complemented
2C22×C4×D4×C73C211yesmaximal, characteristic, complemented
3C73×#2852C211yesmaximal, characteristic, complemented
4C73×#2851C211yesmaximal, characteristic, complemented
5C73×#2849C211yesmaximal, characteristic, complemented
6C73×#2848C211yesmaximal, characteristic, complemented
7C73×#2638C211yesmaximal, characteristic, complemented
8C73×#2636C211yesmaximal, characteristic, complemented
9C73×#2633C211yesmaximal, characteristic, complemented
10C73×#2630C211yesmaximal, characteristic, complemented
11C73×#2480C211yesmaximal, characteristic, complemented
12C73×#2473C211yesmaximal, characteristic, complemented
13C73×#2466C211yesmaximal, characteristic, complemented
14C73×#2463C211yesmaximal, characteristic, complemented
15C73×#2460C211yesmaximal, characteristic, complemented
16C73×#2455C211yesmaximal, characteristic, complemented
17C73×#2449C211yesmaximal, characteristic, complemented
18C73×#2449C211yesmaximal, characteristic, complemented
19C73×#2443C211yesmaximal, characteristic, complemented
20C73×#2437C211yesmaximal, characteristic, complemented
21C73×#2425C211yesmaximal, characteristic, complemented
22C73×#2419C211yesmaximal, characteristic, complemented
23C73×#2418C211yesmaximal, characteristic, complemented
24C73×#2412C211yesmaximal, characteristic, complemented
25C73×#2410C211yesmaximal, characteristic
26C73×#2405C211yesmaximal, characteristic, complemented
27C73×#2325C211yesmaximal, characteristic, complemented
28C73×#2322C211yesmaximal, characteristic, complemented
29C73×#2318C211yesmaximal, characteristic, complemented
30C4×#120×C73C211yesmaximal, characteristic, complemented
31C2×#385×C73C211yesmaximal, characteristic, complemented
32C23×D4×C73C2211yescharacteristic
33C24×C4×C73C2211yescharacteristic
34C24×C4×C73C2211yescharacteristic
35#539×C73—28no—
36C2×#126×C73C2211yescharacteristic, complemented
37C2×#126×C73C2211yescharacteristic, complemented
38C2×#125×C73C2211yescharacteristic, complemented
39C2×#125×C73C2211yescharacteristic, complemented
40C2×#123×C73C2211yescharacteristic
41C2×#123×C73C2211yescharacteristic
42C2×#123×C73C2211yescharacteristic, complemented
43C2×#123×C73C2211yescharacteristic, complemented
44C2×#123×C73C2211yescharacteristic, complemented
45C2×#123×C73C2211yescharacteristic, complemented
46C2×C22⋊Q8×C73C2211yescharacteristic
47C2×C22⋊Q8×C73C2211yescharacteristic, complemented
48C2×C22⋊Q8×C73C2211yescharacteristic, complemented
49C2×C22⋊Q8×C73C2211yescharacteristic, complemented
50C2×C22⋊Q8×C73C2211yescharacteristic, complemented
51C2×#121×C73C2211yescharacteristic
52C2×#121×C73C2211yescharacteristic
53C2×#120×C73C2211yescharacteristic
54C2×#120×C73C2211yescharacteristic
55C2×C4×D4×C73—28no—
56C2×C4×D4×C73C2211yescharacteristic
57C2×C4×D4×C73C2211yescharacteristic
58C2×C4×D4×C73C2211yescharacteristic
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×C4×D4×C73C2211yescharacteristic, complemented
67C22×C4⋊C4×C73C2211yescharacteristic
68C22×C4⋊C4×C73C2211yescharacteristic, complemented
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#399×C73C2211yescharacteristic, complemented
77#399×C73C2211yescharacteristic, complemented
78#399×C73C2211yescharacteristic, complemented
79#398×C73C2211yescharacteristic, complemented
80#398×C73C2211yescharacteristic, complemented
81#398×C73C2211yescharacteristic, complemented
82#398×C73C2211yescharacteristic, complemented
83#397×C73C2211yescharacteristic, complemented
84#397×C73C2211yescharacteristic, complemented
85#397×C73C2211yescharacteristic, complemented
86#397×C73C2211yescharacteristic, complemented
87#397×C73C2211yescharacteristic, complemented
88#397×C73C2211yescharacteristic, complemented
89#396×C73C2211yescharacteristic, complemented
90#396×C73C2211yescharacteristic, complemented
91#396×C73C2211yescharacteristic, complemented
92#396×C73C2211yescharacteristic, complemented
93#395×C73C2211yescharacteristic, complemented
94#394×C73C2211yescharacteristic
95#394×C73C2211yescharacteristic
96#394×C73C2211yescharacteristic
97#394×C73C2211yescharacteristic
98#394×C73C2211yescharacteristic
99#394×C73C2211yescharacteristic
100#394×C73C2211yescharacteristic, complemented
101#394×C73C2211yescharacteristic, complemented
102#394×C73C2211yescharacteristic, complemented
103#394×C73C2211yescharacteristic, complemented
104#393×C73C2211yescharacteristic, complemented
105#392×C73C2211yescharacteristic
106#392×C73C2211yescharacteristic
107#389×C73C2211yescharacteristic, complemented
108#389×C73C2211yescharacteristic, complemented
109#389×C73C2211yescharacteristic, complemented
110#389×C73C2211yescharacteristic, complemented
111#388×C73C2211yescharacteristic, complemented
112#388×C73C2211yescharacteristic, complemented
113#388×C73C2211yescharacteristic, complemented
114#388×C73C2211yescharacteristic, complemented
115#388×C73C2211yescharacteristic, complemented
116#388×C73C2211yescharacteristic, complemented
117#388×C73C2211yescharacteristic, complemented
118#388×C73C2211yescharacteristic, complemented
119#387×C73C2211yescharacteristic, complemented
120#387×C73C2211yescharacteristic, complemented
121#387×C73C2211yescharacteristic, complemented
122#387×C73C2211yescharacteristic, complemented
123#387×C73C2211yescharacteristic, complemented
124#387×C73C2211yescharacteristic, complemented
125#387×C73C2211yescharacteristic, complemented
126#387×C73C2211yescharacteristic, complemented
127#387×C73C2211yescharacteristic, complemented
128#387×C73C2211yescharacteristic, complemented
129#386×C73C2211yescharacteristic
130#386×C73C2211yescharacteristic
131#386×C73C2211yescharacteristic
132#386×C73C2211yescharacteristic
133#386×C73C2211yescharacteristic
134#386×C73C2211yescharacteristic
135#386×C73C2211yescharacteristic
136#386×C73C2211yescharacteristic
137#386×C73C2211yescharacteristic, complemented
138#386×C73C2211yescharacteristic, complemented
139#386×C73C2211yescharacteristic, complemented
140#386×C73C2211yescharacteristic, complemented
141#386×C73C2211yescharacteristic, complemented
142#386×C73C2211yescharacteristic, complemented
143#385×C73C2211yescharacteristic
144#385×C73C2211yescharacteristic
145#385×C73C2211yescharacteristic
146#385×C73C2211yescharacteristic
147#385×C73C2211yescharacteristic
148#385×C73C2211yescharacteristic
149#385×C73C2211yescharacteristic
150#385×C73C2211yescharacteristic
151#385×C73C2211yescharacteristic
152#385×C73C2211yescharacteristic
153#385×C73C2211yescharacteristic, complemented
154#385×C73C2211yescharacteristic, complemented
155#385×C73C2211yescharacteristic, complemented
156#385×C73C2211yescharacteristic, complemented
157#385×C73C2211yescharacteristic, complemented
158#385×C73C2211yescharacteristic, complemented
159#385×C73C2211yescharacteristic, complemented
160#385×C73C2211yescharacteristic, complemented
161#385×C73C2211yescharacteristic, complemented
162#385×C73C2211yescharacteristic, complemented
163#385×C73C2211yescharacteristic, complemented
164#385×C73C2211yescharacteristic, complemented
165#385×C73C2211yescharacteristic, complemented
166#385×C73C2211yescharacteristic, complemented
167#385×C73C2211yescharacteristic, complemented
168#385×C73C2211yescharacteristic, complemented
169#383×C73C2211yescharacteristic, complemented
170#382×C73C2211yescharacteristic, complemented
171#381×C73C2211yescharacteristic, complemented
172#381×C73C2211yescharacteristic, complemented
173#381×C73C2211yescharacteristic, complemented
174#380×C73C2211yescharacteristic
175#380×C73C2211yescharacteristic
176#380×C73C2211yescharacteristic
177#380×C73C2211yescharacteristic, complemented
178#380×C73C2211yescharacteristic, complemented
179#380×C73C2211yescharacteristic, complemented
180#379×C73C2211yescharacteristic
181#379×C73C2211yescharacteristic
182#379×C73C2211yescharacteristic
183#379×C73C2211yescharacteristic
184C4×C22⋊C4×C73C2211yescharacteristic
185C4×C22⋊C4×C73C2211yescharacteristic, complemented
186C4×C22⋊C4×C73C2211yescharacteristic, complemented
187C2×#95×C73C2211yescharacteristic, complemented
188C2×#95×C73C2211yescharacteristic, complemented
189C25×C73C2311yescharacteristic
190C25×C73C2311yescharacteristic
191C22×Q8×C73C2311yescharacteristic
192C22×D4×C73—24no—
193C22×D4×C73—24no—
194C22×D4×C73—24no—
195C22×D4×C73C2311yescharacteristic
196C22×D4×C73C2311yescharacteristic
197C22×D4×C73C2311yescharacteristic
198C22×D4×C73C2311yescharacteristic
199C22×D4×C73C2311yescharacteristic
200C22×D4×C73C2311yescharacteristic
201C22×D4×C73C2311yescharacteristic
202C22×D4×C73C2311yescharacteristic
203C22×D4×C73C2311yescharacteristic
204C23×C4×C73—24no—
205C23×C4×C73—24no—
206C23×C4×C73—42no—
207C23×C4×C73—42no—
208C23×C4×C73—42no—
209C23×C4×C73—42no—
210C23×C4×C73C2311yescharacteristic
211C23×C4×C73C2311yescharacteristic
212C23×C4×C73C2311yescharacteristic
213C23×C4×C73C2311yescharacteristic
214C23×C4×C73C2311yescharacteristic
215C23×C4×C73C2311yescharacteristic
216C23×C4×C73C2311yescharacteristic
217C23×C4×C73C2311yescharacteristic
218C23×C4×C73C2311yescharacteristic
219C23×C4×C73C2311yescharacteristic
220C23×C4×C73C2311yescharacteristic
221C23×C4×C73C2311yescharacteristic
222C23×C4×C73C2311yescharacteristic
223C23×C4×C73C2311yescharacteristic
224C23×C4×C73C2311yescharacteristic
225C23×C4×C73C2311yescharacteristic
226C23×C4×C73C2311yescharacteristic
227C23×C4×C73C2311yescharacteristic
228#126×C73—24no—
229#126×C73—24no—
230#125×C73—24no—
231#125×C73—24no—
232#123×C73—24no—
233#123×C73—24no—
234#123×C73—24no—
235#123×C73—24no—
236#123×C73—24no—
237#123×C73—42no—
238C22⋊Q8×C73—24no—
239C22⋊Q8×C73—24no—
240C22⋊Q8×C73—24no—
241C22⋊Q8×C73—42no—
242C22⋊Q8×C73—42no—
243#121×C73—24no—
244#121×C73—24no—
245#120×C73—24no—
246#120×C73—42no—
247C4×D4×C73—24no—
248C4×D4×C73—24no—
249C4×D4×C73—24no—
250C4×D4×C73—24no—
251C4×D4×C73—24no—
252C4×D4×C73—24no—
253C4×D4×C73—24no—
254C4×D4×C73—24no—
255C4×D4×C73—42no—
256C4×D4×C73—42no—
257C4×D4×C73D418yescomplemented
258C2×C4⋊C4×C73—24no—
259C2×C4⋊C4×C73—24no—
260C2×C4⋊C4×C73—42no—
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×C4⋊C4×C73C2311yescharacteristic
285C2×C4⋊C4×C73C2311yescharacteristic
286C2×C4⋊C4×C73C2311yescharacteristic
287C2×C4⋊C4×C73C2311yescharacteristic
288C2×C4⋊C4×C73C2311yescharacteristic
289C2×C4⋊C4×C73C2311yescharacteristic
290C2×C4⋊C4×C73C2311yescharacteristic
291C2×C4⋊C4×C73C2311yescharacteristic
292C2×C4⋊C4×C73C2311yescharacteristic
293C2×C4⋊C4×C73C2311yescharacteristic
294C2×C4⋊C4×C73C2311yescharacteristic
295C2×C22⋊C4×C73—24no—
296C2×C22⋊C4×C73—24no—
297C2×C22⋊C4×C73—24no—
298C2×C22⋊C4×C73—42no—
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×C22⋊C4×C73C2311yescharacteristic
335C2×C22⋊C4×C73C2311yescharacteristic
336C2×C22⋊C4×C73C2311yescharacteristic
337C2×C22⋊C4×C73C2311yescharacteristic
338C2×C22⋊C4×C73C2311yescharacteristic
339C2×C22⋊C4×C73C2311yescharacteristic
340C2×C22⋊C4×C73C2311yescharacteristic
341C2×C22⋊C4×C73C2311yescharacteristic
342C2×C22⋊C4×C73C2311yescharacteristic
343C2×C22⋊C4×C73C2311yescharacteristic
344C2×C22⋊C4×C73C2311yescharacteristic
345C2×C22⋊C4×C73C2311yescharacteristic
346C2×C22⋊C4×C73C2311yescharacteristic
347C2×C42×C73—24no—
348C2×C42×C73C2311yescharacteristic
349C2×C42×C73C2311yescharacteristic
350C2×C42×C73C2311yescharacteristic
351C2×C42×C73C2311yescharacteristic
352C2×C42×C73C2311yescharacteristic
353C2×C42×C73C2311yescharacteristic
354C2×C42×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
385#95×C73C2311yescharacteristic
386#95×C73C2311yescharacteristic
387#95×C73C2311yescharacteristic
388#95×C73C2311yescharacteristic
389#95×C73C2311yescharacteristic
390#95×C73C2311yescharacteristic
391C24×C73—22no—
392C24×C73—22no—
393C24×C73—22no—
394C24×C73—22no—
395C24×C73—22no—
396C24×C73—22no—
397C24×C73—22no—
398C24×C73—22no—
399C24×C73—22no—
400C24×C73—41no—
401C24×C73—41no—
402C24×C73—41no—
403C24×C73—41no—
404C24×C73#4114yes—
405C24×C73C2411yescharacteristic
406C24×C73C2411yescharacteristic
407C24×C73C2411yescharacteristic
408C24×C73C2411yescharacteristic
409C24×C73C2411yescharacteristic
410C24×C73C2411yescharacteristic
411C2×Q8×C73—22no—
412C2×Q8×C73—41no—
413C2×Q8×C73—41no—
414C2×D4×C73—232no—
415C2×D4×C73—22no—
416C2×D4×C73—22no—
417C2×D4×C73—22no—
418C2×D4×C73—22no—
419C2×D4×C73—22no—
420C2×D4×C73—22no—
421C2×D4×C73—22no—
422C2×D4×C73—22no—
423C2×D4×C73—22no—
424C2×D4×C73—22no—
425C2×D4×C73—22no—
426C2×D4×C73—22no—
427C2×D4×C73—22no—
428C2×D4×C73—22no—
429C2×D4×C73—22no—
430C2×D4×C73—22no—
431C2×D4×C73—22no—
432C2×D4×C73—22no—
433C2×D4×C73—22no—
434C2×D4×C73—41no—
435C2×D4×C73—41no—
436C2×D4×C73—41no—
437C2×D4×C73—41no—
438C2×D4×C73—41no—
439C2×D4×C73—41no—
440C2×D4×C73C2×D414yes—
441C2×D4×C73#4114yes—
442C22×C4×C73—22no—
443C22×C4×C73—22no—
444C22×C4×C73—22no—
445C22×C4×C73—22no—
446C22×C4×C73—22no—
447C22×C4×C73—22no—
448C22×C4×C73—22no—
449C22×C4×C73—22no—
450C22×C4×C73—22no—
451C22×C4×C73—22no—
452C22×C4×C73—22no—
453C22×C4×C73—22no—
454C22×C4×C73—22no—
455C22×C4×C73—22no—
456C22×C4×C73—22no—
457C22×C4×C73—22no—
458C22×C4×C73—22no—
459C22×C4×C73—22no—
460C22×C4×C73—22no—
461C22×C4×C73—22no—
462C22×C4×C73—22no—
463C22×C4×C73—22no—
464C22×C4×C73—22no—
465C22×C4×C73—22no—
466C22×C4×C73—22no—
467C22×C4×C73—22no—
468C22×C4×C73—22no—
469C22×C4×C73—22no—
470C22×C4×C73—22no—
471C22×C4×C73—41no—
472C22×C4×C73—41no—
473C22×C4×C73—41no—
474C22×C4×C73—41no—
475C22×C4×C73—41no—
476C22×C4×C73—41no—
477C22×C4×C73—41no—
478C22×C4×C73—41no—
479C22×C4×C73—41no—
480C22×C4×C73—41no—
481C22×C4×C73—41no—
482C22×C4×C73—41no—
483C22×C4×C73—41no—
484C22×C4×C73—41no—
485C22×C4×C73—41no—
486C22×C4×C73—41no—
487C22×C4×C73—41no—
488C22×C4×C73—41no—
489C22×C4×C73—41no—
490C22×C4×C73—41no—
491C22×C4×C73—41no—
492C22×C4×C73—41no—
493C22×C4×C73—41no—
494C22×C4×C73—416no—
495C22×C4×C73—416no—
496C22×C4×C73C2×D414yes—
497C22×C4×C73C2×D414yes—
498C22×C4×C73C2411yescharacteristic
499C22×C4×C73C2411yescharacteristic
500C22×C4×C73C2411yescharacteristic
501C22×C4×C73C2411yescharacteristic
502C22×C4×C73C2411yescharacteristic
503C22×C4×C73C2411yescharacteristic
504C22×C4×C73C2411yescharacteristic
505C22×C4×C73C2411yescharacteristic
506C22×C4×C73C2411yescharacteristic
507C22×C4×C73C2411yescharacteristic
508C22×C4×C73C2411yescharacteristic
509C22×C4×C73C2411yescharacteristic
510C22×C4×C73C2411yescharacteristic
511C22×C4×C73C2411yescharacteristic
512C22×C4×C73C2411yescharacteristic
513C22×C4×C73C2411yescharacteristic
514C22×C4×C73C2411yescharacteristic
515C22×C4×C73C2411yescharacteristic
516C22×C4×C73C2411yescharacteristic
517C22×C4×C73C2411yescharacteristic
518C22×C4×C73C2411yescharacteristic
519C22×C4×C73C2411yescharacteristic
520C22×C4×C73C2411yescharacteristic
521C22×C4×C73C2411yescharacteristic
522C22×C4×C73C2411yescharacteristic
523C4⋊C4×C73—22no—
524C4⋊C4×C73—22no—
525C4⋊C4×C73—22no—
526C4⋊C4×C73—22no—
527C4⋊C4×C73—22no—
528C4⋊C4×C73—22no—
529C4⋊C4×C73—22no—
530C4⋊C4×C73—22no—
531C4⋊C4×C73—22no—
532C4⋊C4×C73—22no—
533C4⋊C4×C73—22no—
534C4⋊C4×C73—22no—
535C4⋊C4×C73—22no—
536C4⋊C4×C73—22no—
537C4⋊C4×C73—22no—
538C4⋊C4×C73—22no—
539C4⋊C4×C73—22no—
540C4⋊C4×C73—22no—
541C4⋊C4×C73—22no—
542C4⋊C4×C73—22no—
543C4⋊C4×C73—22no—
544C4⋊C4×C73—22no—
545C4⋊C4×C73—41no—
546C4⋊C4×C73—41no—
547C4⋊C4×C73—41no—
548C4⋊C4×C73—41no—
549C4⋊C4×C73—41no—
550C4⋊C4×C73—41no—
551C4⋊C4×C73—41no—
552C4⋊C4×C73—41no—
553C4⋊C4×C73—41no—
554C4⋊C4×C73—41no—
555C4⋊C4×C73—41no—
556C4⋊C4×C73C2×D414yes—
557C22⋊C4×C73—22no—
558C22⋊C4×C73—22no—
559C22⋊C4×C73—22no—
560C22⋊C4×C73—22no—
561C22⋊C4×C73—22no—
562C22⋊C4×C73—22no—
563C22⋊C4×C73—22no—
564C22⋊C4×C73—22no—
565C22⋊C4×C73—22no—
566C22⋊C4×C73—22no—
567C22⋊C4×C73—22no—
568C22⋊C4×C73—22no—
569C22⋊C4×C73—22no—
570C22⋊C4×C73—22no—
571C22⋊C4×C73—22no—
572C22⋊C4×C73—22no—
573C22⋊C4×C73—22no—
574C22⋊C4×C73—22no—
575C22⋊C4×C73—22no—
576C22⋊C4×C73—22no—
577C22⋊C4×C73—22no—
578C22⋊C4×C73—22no—
579C22⋊C4×C73—22no—
580C22⋊C4×C73—22no—
581C22⋊C4×C73—22no—
582C22⋊C4×C73—22no—
583C22⋊C4×C73—22no—
584C22⋊C4×C73—22no—
585C22⋊C4×C73—22no—
586C22⋊C4×C73—22no—
587C22⋊C4×C73—22no—
588C22⋊C4×C73—41no—
589C22⋊C4×C73—41no—
590C22⋊C4×C73—41no—
591C22⋊C4×C73—41no—
592C22⋊C4×C73—41no—
593C22⋊C4×C73—41no—
594C22⋊C4×C73—41no—
595C22⋊C4×C73—41no—
596C22⋊C4×C73—41no—
597C22⋊C4×C73—41no—
598C22⋊C4×C73—41no—
599C22⋊C4×C73—41no—
600C22⋊C4×C73—41no—
601C22⋊C4×C73—41no—
602C22⋊C4×C73—41no—
603C22⋊C4×C73C2×D414yes—
604C22⋊C4×C73C2×D414yes—
605C42×C73—22no—
606C42×C73—22no—
607C42×C73—22no—
608C42×C73—22no—
609C42×C73—41no—
610C42×C73—41no—
611C42×C73C2×D414yes—
612C23×C73—21no—
613C23×C73—21no—
614C23×C73—21no—
615C23×C73—21no—
616C23×C73—21no—
617C23×C73—21no—
618C23×C73—21no—
619C23×C73—21no—
620C23×C73—28no—
621C23×C73—28no—
622C23×C73—28no—
623C23×C73—21no—
624C23×C73—21no—
625C23×C73—21no—
626C23×C73—21no—
627C23×C73—21no—
628C23×C73—21no—
629C23×C73—21no—
630C23×C73—21no—
631C23×C73—21no—
632C23×C73—21no—
633C23×C73—21no—
634C23×C73—21no—
635C23×C73—21no—
636C23×C73—21no—
637C23×C73—21no—
638C23×C73—21no—
639C23×C73—21no—
640C23×C73—21no—
641C23×C73—21no—
642C23×C73—21no—
643C23×C73—21no—
644C23×C73—21no—
645C23×C73—21no—
646C23×C73—21no—
647C23×C73—21no—
648C23×C73—44no—
649C23×C73—44no—
650C23×C73—44no—
651C23×C73—44no—
652C23×C73—44no—
653C23×C73—44no—
654C23×C73—44no—
655C23×C73—44no—
656C23×C73—44no—
657C23×C73—44no—
658C23×C73—44no—
659C23×C73C22×D412yes—
660C23×C73C22×D412yes—
661C23×C73C2×#4112yes—
662C23×C73C2×#4112yes—
663C23×C73C2×#4112yes—
664C23×C73C2×#4112yes—
665C23×C73C2×#4112yes—
666C23×C73H(5,𝔽2)12yes—
667C23×C732−1+412yes—
668C23×C73C2511yescharacteristic
669Q8×C73—82no—
670D4×C73—28no—
671D4×C73—28no—
672D4×C73—28no—
673D4×C73—28no—
674D4×C73—44no—
675D4×C73—44no—
676D4×C73—44no—
677D4×C73—82no—
678D4×C73—82no—
679C2×C4×C73—28no—
680C2×C4×C73—28no—
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—21no—
707C2×C4×C73—21no—
708C2×C4×C73—21no—
709C2×C4×C73—21no—
710C2×C4×C73—21no—
711C2×C4×C73—21no—
712C2×C4×C73—21no—
713C2×C4×C73—21no—
714C2×C4×C73—21no—
715C2×C4×C73—21no—
716C2×C4×C73—21no—
717C2×C4×C73—21no—
718C2×C4×C73—21no—
719C2×C4×C73—21no—
720C2×C4×C73—21no—
721C2×C4×C73—21no—
722C2×C4×C73—21no—
723C2×C4×C73—21no—
724C2×C4×C73—21no—
725C2×C4×C73—21no—
726C2×C4×C73—21no—
727C2×C4×C73—21no—
728C2×C4×C73—21no—
729C2×C4×C73—21no—
730C2×C4×C73—21no—
731C2×C4×C73—21no—
732C2×C4×C73—21no—
733C2×C4×C73—21no—
734C2×C4×C73—21no—
735C2×C4×C73—21no—
736C2×C4×C73—21no—
737C2×C4×C73—21no—
738C2×C4×C73—21no—
739C2×C4×C73—21no—
740C2×C4×C73—21no—
741C2×C4×C73—21no—
742C2×C4×C73—21no—
743C2×C4×C73—21no—
744C2×C4×C73—21no—
745C2×C4×C73—21no—
746C2×C4×C73—21no—
747C2×C4×C73—21no—
748C2×C4×C73—21no—
749C2×C4×C73—44no—
750C2×C4×C73—44no—
751C2×C4×C73—44no—
752C2×C4×C73—44no—
753C2×C4×C73—44no—
754C2×C4×C73—44no—
755C2×C4×C73—44no—
756C2×C4×C73—44no—
757C2×C4×C73—44no—
758C2×C4×C73—44no—
759C2×C4×C73—44no—
760C2×C4×C73—44no—
761C2×C4×C73—44no—
762C2×C4×C73—82no—
763C2×C4×C73—82no—
764C2×C4×C73—82no—
765C2×C4×C73C22×D412yes—
766C2×C4×C73C22×D412yes—
767C2×C4×C73C22×D412yes—
768C2×C4×C73C22×D412yes—
769C2×C4×C73C22×D412yes—
770C2×C4×C73C2×#4112yes—
771C2×C4×C73H(5,𝔽2)12yes—
772C22×C73—22no—
773C22×C73—22no—
774C22×C73—22no—
775C22×C73—22no—
776C22×C73—22no—
777C22×C73—22no—
778C22×C73—22no—
779C22×C73—22no—
780C22×C73—22no—
781C22×C73—22no—
782C22×C73—22no—
783C22×C73—22no—
784C22×C73—22no—
785C22×C73—22no—
786C22×C73—22no—
787C22×C73—22no—
788C22×C73—22no—
789C22×C73—22no—
790C22×C73—22no—
791C22×C73—22no—
792C22×C73—22no—
793C22×C73—416no—
794C22×C73—416no—
795C22×C73—41no—
796C22×C73—41no—
797C22×C73—41no—
798C22×C73—41no—
799C22×C73—41no—
800C22×C73—41no—
801C22×C73—41no—
802C22×C73—41no—
803C22×C73—41no—
804C22×C73—41no—
805C22×C73—41no—
806C22×C73—41no—
807C22×C73—41no—
808C22×C73—41no—
809C22×C73—41no—
810C22×C73—41no—
811C22×C73—41no—
812C22×C73—41no—
813C22×C73—41no—
814C22×C73#52514yes—
815C22×C73#53914yescomplemented
816C22×C73C23×D411yescharacteristic
817C22×C73C22×#4111yescharacteristic
818C22×C73C22×#4111yescharacteristic
819C22×C73C2×H(5,𝔽2)11yescharacteristic
820C22×C73C2×H(5,𝔽2)11yescharacteristic
821C22×C73C2×2−1+411yescharacteristic
822C22×C73#58511yescharacteristic
823C4×C73—22no—
824C4×C73—22no—
825C4×C73—22no—
826C4×C73—22no—
827C4×C73—22no—
828C4×C73—22no—
829C4×C73—22no—
830C4×C73—41no—
831C4×C73—41no—
832C4×C73—41no—
833C4×C73—41no—
834C4×C73—41no—
835C4×C73—41no—
836C4×C73—41no—
837C4×C73—41no—
838C4×C73—41no—
839C4×C73—41no—
840C4×C73—41no—
841C4×C73—41no—
842C4×C73—41no—
843C4×C73—41no—
844C4×C73—41no—
845C4×C73—41no—
846C4×C73—41no—
847C4×C73—41no—
848#34991C7311yesmaximal, characteristic, direct product factor, Sylow
849C2×C73—24no—
850C2×C73—24no—
851C2×C73—42no—
852C2×C73—42no—
853C2×C73—42no—
854C2×C73—81no—
855C2×C73C2×#52511yescharacteristic
856C2×C73C2×#53911yescharacteristic
857C2×C73#345911yescharacteristic
858C2×C73#348411yescharacteristic
859C2×C73#348911yescharacteristic
860C2×C73#351311yescharacteristic
861C2×C73#352011yescharacteristic
862C2×#539C2×C7311yescharacteristic, complemented
863C22×C4×D4C2×C7311yescharacteristic, complemented
864#2852C2×C7311yescharacteristic, complemented
865#2851C2×C7311yescharacteristic, complemented
866#2849C2×C7311yescharacteristic, complemented
867#2848C2×C7311yescharacteristic, complemented
868#2638C2×C7311yescharacteristic, complemented
869#2636C2×C7311yescharacteristic, complemented
870#2633C2×C7311yescharacteristic, complemented
871#2630C2×C7311yescharacteristic, complemented
872#2480C2×C7311yescharacteristic, complemented
873#2473C2×C7311yescharacteristic, complemented
874#2466C2×C7311yescharacteristic, complemented
875#2463C2×C7311yescharacteristic, complemented
876#2460C2×C7311yescharacteristic, complemented
877#2455C2×C7311yescharacteristic, complemented
878#2449C2×C7311yescharacteristic, complemented
879#2449C2×C7311yescharacteristic, complemented
880#2443C2×C7311yescharacteristic, complemented
881#2437C2×C7311yescharacteristic, complemented
882#2425C2×C7311yescharacteristic, complemented
883#2419C2×C7311yescharacteristic, complemented
884#2418C2×C7311yescharacteristic, complemented
885#2412C2×C7311yescharacteristic, complemented
886#2410C2×C7311yescharacteristic
887#2405C2×C7311yescharacteristic, complemented
888#2325C2×C7311yescharacteristic, complemented
889#2322C2×C7311yescharacteristic, complemented
890#2318C2×C7311yescharacteristic, complemented
891C4×#120C2×C7311yescharacteristic, complemented
892C2×#385C2×C7311yescharacteristic, complemented
893C73#3499111yescharacteristic, direct product factor, Sylow
894C23×D4C22×C7311yescharacteristic
895C24×C4C22×C7311yescharacteristic
896C24×C4C22×C7311yescharacteristic
897#539—28no—
898C2×#126C22×C7311yescharacteristic, complemented
899C2×#126C22×C7311yescharacteristic, complemented
900C2×#125C22×C7311yescharacteristic, complemented
901C2×#125C22×C7311yescharacteristic, complemented
902C2×#123C22×C7311yescharacteristic
903C2×#123C22×C7311yescharacteristic
904C2×#123C22×C7311yescharacteristic, complemented
905C2×#123C22×C7311yescharacteristic, complemented
906C2×#123C22×C7311yescharacteristic, complemented
907C2×#123C22×C7311yescharacteristic, complemented
908C2×C22⋊Q8C22×C7311yescharacteristic
909C2×C22⋊Q8C22×C7311yescharacteristic, complemented
910C2×C22⋊Q8C22×C7311yescharacteristic, complemented
911C2×C22⋊Q8C22×C7311yescharacteristic, complemented
912C2×C22⋊Q8C22×C7311yescharacteristic, complemented
913C2×#121C22×C7311yescharacteristic
914C2×#121C22×C7311yescharacteristic
915C2×#120C22×C7311yescharacteristic
916C2×#120C22×C7311yescharacteristic
917C2×C4×D4—28no—
918C2×C4×D4C22×C7311yescharacteristic
919C2×C4×D4C22×C7311yescharacteristic
920C2×C4×D4C22×C7311yescharacteristic
921C2×C4×D4C22×C7311yescharacteristic
922C2×C4×D4C22×C7311yescharacteristic
923C2×C4×D4C22×C7311yescharacteristic
924C2×C4×D4C22×C7311yescharacteristic
925C2×C4×D4C22×C7311yescharacteristic
926C2×C4×D4C22×C7311yescharacteristic
927C2×C4×D4C22×C7311yescharacteristic, complemented
928C2×C4×D4C22×C7311yescharacteristic, complemented
929C22×C4⋊C4C22×C7311yescharacteristic
930C22×C4⋊C4C22×C7311yescharacteristic, complemented
931C22×C4⋊C4C22×C7311yescharacteristic, complemented
932C22×C22⋊C4C22×C7311yescharacteristic
933C22×C22⋊C4C22×C7311yescharacteristic
934C22×C22⋊C4C22×C7311yescharacteristic
935C22×C22⋊C4C22×C7311yescharacteristic
936C22×C42C22×C7311yescharacteristic
937#400C22×C7311yescharacteristic, complemented
938#399C22×C7311yescharacteristic, complemented
939#399C22×C7311yescharacteristic, complemented
940#399C22×C7311yescharacteristic, complemented
941#398C22×C7311yescharacteristic, complemented
942#398C22×C7311yescharacteristic, complemented
943#398C22×C7311yescharacteristic, complemented
944#398C22×C7311yescharacteristic, complemented
945#397C22×C7311yescharacteristic, complemented
946#397C22×C7311yescharacteristic, complemented
947#397C22×C7311yescharacteristic, complemented
948#397C22×C7311yescharacteristic, complemented
949#397C22×C7311yescharacteristic, complemented
950#397C22×C7311yescharacteristic, complemented
951#396C22×C7311yescharacteristic, complemented
952#396C22×C7311yescharacteristic, complemented
953#396C22×C7311yescharacteristic, complemented
954#396C22×C7311yescharacteristic, complemented
955#395C22×C7311yescharacteristic, complemented
956#394C22×C7311yescharacteristic
957#394C22×C7311yescharacteristic
958#394C22×C7311yescharacteristic
959#394C22×C7311yescharacteristic
960#394C22×C7311yescharacteristic
961#394C22×C7311yescharacteristic
962#394C22×C7311yescharacteristic, complemented
963#394C22×C7311yescharacteristic, complemented
964#394C22×C7311yescharacteristic, complemented
965#394C22×C7311yescharacteristic, complemented
966#393C22×C7311yescharacteristic, complemented
967#392C22×C7311yescharacteristic
968#392C22×C7311yescharacteristic
969#389C22×C7311yescharacteristic, complemented
970#389C22×C7311yescharacteristic, complemented
971#389C22×C7311yescharacteristic, complemented
972#389C22×C7311yescharacteristic, complemented
973#388C22×C7311yescharacteristic, complemented
974#388C22×C7311yescharacteristic, complemented
975#388C22×C7311yescharacteristic, complemented
976#388C22×C7311yescharacteristic, complemented
977#388C22×C7311yescharacteristic, complemented
978#388C22×C7311yescharacteristic, complemented
979#388C22×C7311yescharacteristic, complemented
980#388C22×C7311yescharacteristic, complemented
981#387C22×C7311yescharacteristic, complemented
982#387C22×C7311yescharacteristic, complemented
983#387C22×C7311yescharacteristic, complemented
984#387C22×C7311yescharacteristic, complemented
985#387C22×C7311yescharacteristic, complemented
986#387C22×C7311yescharacteristic, complemented
987#387C22×C7311yescharacteristic, complemented
988#387C22×C7311yescharacteristic, complemented
989#387C22×C7311yescharacteristic, complemented
990#387C22×C7311yescharacteristic, complemented
991#386C22×C7311yescharacteristic
992#386C22×C7311yescharacteristic
993#386C22×C7311yescharacteristic
994#386C22×C7311yescharacteristic
995#386C22×C7311yescharacteristic
996#386C22×C7311yescharacteristic
997#386C22×C7311yescharacteristic
998#386C22×C7311yescharacteristic
999#386C22×C7311yescharacteristic, complemented
1000#386C22×C7311yescharacteristic, complemented
1001#386C22×C7311yescharacteristic, complemented
1002#386C22×C7311yescharacteristic, complemented
1003#386C22×C7311yescharacteristic, complemented
1004#386C22×C7311yescharacteristic, complemented
1005#385C22×C7311yescharacteristic
1006#385C22×C7311yescharacteristic
1007#385C22×C7311yescharacteristic
1008#385C22×C7311yescharacteristic
1009#385C22×C7311yescharacteristic
1010#385C22×C7311yescharacteristic
1011#385C22×C7311yescharacteristic
1012#385C22×C7311yescharacteristic
1013#385C22×C7311yescharacteristic
1014#385C22×C7311yescharacteristic
1015#385C22×C7311yescharacteristic, complemented
1016#385C22×C7311yescharacteristic, complemented
1017#385C22×C7311yescharacteristic, complemented
1018#385C22×C7311yescharacteristic, complemented
1019#385C22×C7311yescharacteristic, complemented
1020#385C22×C7311yescharacteristic, complemented
1021#385C22×C7311yescharacteristic, complemented
1022#385C22×C7311yescharacteristic, complemented
1023#385C22×C7311yescharacteristic, complemented
1024#385C22×C7311yescharacteristic, complemented
1025#385C22×C7311yescharacteristic, complemented
1026#385C22×C7311yescharacteristic, complemented
1027#385C22×C7311yescharacteristic, complemented
1028#385C22×C7311yescharacteristic, complemented
1029#385C22×C7311yescharacteristic, complemented
1030#385C22×C7311yescharacteristic, complemented
1031#383C22×C7311yescharacteristic, complemented
1032#382C22×C7311yescharacteristic, complemented
1033#381C22×C7311yescharacteristic, complemented
1034#381C22×C7311yescharacteristic, complemented
1035#381C22×C7311yescharacteristic, complemented
1036#380C22×C7311yescharacteristic
1037#380C22×C7311yescharacteristic
1038#380C22×C7311yescharacteristic
1039#380C22×C7311yescharacteristic, complemented
1040#380C22×C7311yescharacteristic, complemented
1041#380C22×C7311yescharacteristic, complemented
1042#379C22×C7311yescharacteristic
1043#379C22×C7311yescharacteristic
1044#379C22×C7311yescharacteristic
1045#379C22×C7311yescharacteristic
1046C4×C22⋊C4C22×C7311yescharacteristic
1047C4×C22⋊C4C22×C7311yescharacteristic, complemented
1048C4×C22⋊C4C22×C7311yescharacteristic, complemented
1049C2×#95C22×C7311yescharacteristic, complemented
1050C2×#95C22×C7311yescharacteristic, complemented
1051C25C23×C7311yescharacteristic
1052C25C23×C7311yescharacteristic
1053C22×Q8C23×C7311yescharacteristic
1054C22×D4—24no—
1055C22×D4—24no—
1056C22×D4—24no—
1057C22×D4C23×C7311yescharacteristic
1058C22×D4C23×C7311yescharacteristic
1059C22×D4C23×C7311yescharacteristic
1060C22×D4C23×C7311yescharacteristic
1061C22×D4C23×C7311yescharacteristic
1062C22×D4C23×C7311yescharacteristic
1063C22×D4C23×C7311yescharacteristic
1064C22×D4C23×C7311yescharacteristic
1065C22×D4C23×C7311yescharacteristic
1066C23×C4—24no—
1067C23×C4—24no—
1068C23×C4—42no—
1069C23×C4—42no—
1070C23×C4—42no—
1071C23×C4—42no—
1072C23×C4C23×C7311yescharacteristic
1073C23×C4C23×C7311yescharacteristic
1074C23×C4C23×C7311yescharacteristic
1075C23×C4C23×C7311yescharacteristic
1076C23×C4C23×C7311yescharacteristic
1077C23×C4C23×C7311yescharacteristic
1078C23×C4C23×C7311yescharacteristic
1079C23×C4C23×C7311yescharacteristic
1080C23×C4C23×C7311yescharacteristic
1081C23×C4C23×C7311yescharacteristic
1082C23×C4C23×C7311yescharacteristic
1083C23×C4C23×C7311yescharacteristic
1084C23×C4C23×C7311yescharacteristic
1085C23×C4C23×C7311yescharacteristic
1086C23×C4C23×C7311yescharacteristic
1087C23×C4C23×C7311yescharacteristic
1088C23×C4C23×C7311yescharacteristic
1089C23×C4C23×C7311yescharacteristic
1090#126—24no—
1091#126—24no—
1092#125—24no—
1093#125—24no—
1094#123—24no—
1095#123—24no—
1096#123—24no—
1097#123—24no—
1098#123—24no—
1099#123—42no—
1100C22⋊Q8—24no—
1101C22⋊Q8—24no—
1102C22⋊Q8—24no—
1103C22⋊Q8—42no—
1104C22⋊Q8—42no—
1105#121—24no—
1106#121—24no—
1107#120—24no—
1108#120—42no—
1109C4×D4—24no—
1110C4×D4—24no—
1111C4×D4—24no—
1112C4×D4—24no—
1113C4×D4—24no—
1114C4×D4—24no—
1115C4×D4—24no—
1116C4×D4—24no—
1117C4×D4—42no—
1118C4×D4—42no—
1119C4×D4D4×C7318yescomplemented
1120C2×C4⋊C4—24no—
1121C2×C4⋊C4—24no—
1122C2×C4⋊C4—42no—
1123C2×C4⋊C4C23×C7311yescharacteristic
1124C2×C4⋊C4C23×C7311yescharacteristic
1125C2×C4⋊C4C23×C7311yescharacteristic
1126C2×C4⋊C4C23×C7311yescharacteristic
1127C2×C4⋊C4C23×C7311yescharacteristic
1128C2×C4⋊C4C23×C7311yescharacteristic
1129C2×C4⋊C4C23×C7311yescharacteristic
1130C2×C4⋊C4C23×C7311yescharacteristic
1131C2×C4⋊C4C23×C7311yescharacteristic
1132C2×C4⋊C4C23×C7311yescharacteristic
1133C2×C4⋊C4C23×C7311yescharacteristic
1134C2×C4⋊C4C23×C7311yescharacteristic
1135C2×C4⋊C4C23×C7311yescharacteristic
1136C2×C4⋊C4C23×C7311yescharacteristic
1137C2×C4⋊C4C23×C7311yescharacteristic
1138C2×C4⋊C4C23×C7311yescharacteristic
1139C2×C4⋊C4C23×C7311yescharacteristic
1140C2×C4⋊C4C23×C7311yescharacteristic
1141C2×C4⋊C4C23×C7311yescharacteristic
1142C2×C4⋊C4C23×C7311yescharacteristic
1143C2×C4⋊C4C23×C7311yescharacteristic
1144C2×C4⋊C4C23×C7311yescharacteristic
1145C2×C4⋊C4C23×C7311yescharacteristic
1146C2×C4⋊C4C23×C7311yescharacteristic
1147C2×C4⋊C4C23×C7311yescharacteristic
1148C2×C4⋊C4C23×C7311yescharacteristic
1149C2×C4⋊C4C23×C7311yescharacteristic
1150C2×C4⋊C4C23×C7311yescharacteristic
1151C2×C4⋊C4C23×C7311yescharacteristic
1152C2×C4⋊C4C23×C7311yescharacteristic
1153C2×C4⋊C4C23×C7311yescharacteristic
1154C2×C4⋊C4C23×C7311yescharacteristic
1155C2×C4⋊C4C23×C7311yescharacteristic
1156C2×C4⋊C4C23×C7311yescharacteristic
1157C2×C22⋊C4—24no—
1158C2×C22⋊C4—24no—
1159C2×C22⋊C4—24no—
1160C2×C22⋊C4—42no—
1161C2×C22⋊C4C23×C7311yescharacteristic
1162C2×C22⋊C4C23×C7311yescharacteristic
1163C2×C22⋊C4C23×C7311yescharacteristic
1164C2×C22⋊C4C23×C7311yescharacteristic
1165C2×C22⋊C4C23×C7311yescharacteristic
1166C2×C22⋊C4C23×C7311yescharacteristic
1167C2×C22⋊C4C23×C7311yescharacteristic
1168C2×C22⋊C4C23×C7311yescharacteristic
1169C2×C22⋊C4C23×C7311yescharacteristic
1170C2×C22⋊C4C23×C7311yescharacteristic
1171C2×C22⋊C4C23×C7311yescharacteristic
1172C2×C22⋊C4C23×C7311yescharacteristic
1173C2×C22⋊C4C23×C7311yescharacteristic
1174C2×C22⋊C4C23×C7311yescharacteristic
1175C2×C22⋊C4C23×C7311yescharacteristic
1176C2×C22⋊C4C23×C7311yescharacteristic
1177C2×C22⋊C4C23×C7311yescharacteristic
1178C2×C22⋊C4C23×C7311yescharacteristic
1179C2×C22⋊C4C23×C7311yescharacteristic
1180C2×C22⋊C4C23×C7311yescharacteristic
1181C2×C22⋊C4C23×C7311yescharacteristic
1182C2×C22⋊C4C23×C7311yescharacteristic
1183C2×C22⋊C4C23×C7311yescharacteristic
1184C2×C22⋊C4C23×C7311yescharacteristic
1185C2×C22⋊C4C23×C7311yescharacteristic
1186C2×C22⋊C4C23×C7311yescharacteristic
1187C2×C22⋊C4C23×C7311yescharacteristic
1188C2×C22⋊C4C23×C7311yescharacteristic
1189C2×C22⋊C4C23×C7311yescharacteristic
1190C2×C22⋊C4C23×C7311yescharacteristic
1191C2×C22⋊C4C23×C7311yescharacteristic
1192C2×C22⋊C4C23×C7311yescharacteristic
1193C2×C22⋊C4C23×C7311yescharacteristic
1194C2×C22⋊C4C23×C7311yescharacteristic
1195C2×C22⋊C4C23×C7311yescharacteristic
1196C2×C22⋊C4C23×C7311yescharacteristic
1197C2×C22⋊C4C23×C7311yescharacteristic
1198C2×C22⋊C4C23×C7311yescharacteristic
1199C2×C22⋊C4C23×C7311yescharacteristic
1200C2×C22⋊C4C23×C7311yescharacteristic
1201C2×C22⋊C4C23×C7311yescharacteristic
1202C2×C22⋊C4C23×C7311yescharacteristic
1203C2×C22⋊C4C23×C7311yescharacteristic
1204C2×C22⋊C4C23×C7311yescharacteristic
1205C2×C22⋊C4C23×C7311yescharacteristic
1206C2×C22⋊C4C23×C7311yescharacteristic
1207C2×C22⋊C4C23×C7311yescharacteristic
1208C2×C22⋊C4C23×C7311yescharacteristic
1209C2×C42—24no—
1210C2×C42C23×C7311yescharacteristic
1211C2×C42C23×C7311yescharacteristic
1212C2×C42C23×C7311yescharacteristic
1213C2×C42C23×C7311yescharacteristic
1214C2×C42C23×C7311yescharacteristic
1215C2×C42C23×C7311yescharacteristic
1216C2×C42C23×C7311yescharacteristic
1217#95C23×C7311yescharacteristic
1218#95C23×C7311yescharacteristic
1219#95C23×C7311yescharacteristic
1220#95C23×C7311yescharacteristic
1221#95C23×C7311yescharacteristic
1222#95C23×C7311yescharacteristic
1223#95C23×C7311yescharacteristic
1224#95C23×C7311yescharacteristic
1225#95C23×C7311yescharacteristic
1226#95C23×C7311yescharacteristic
1227#95C23×C7311yescharacteristic
1228#95C23×C7311yescharacteristic
1229#95C23×C7311yescharacteristic
1230#95C23×C7311yescharacteristic
1231#95C23×C7311yescharacteristic
1232#95C23×C7311yescharacteristic
1233#95C23×C7311yescharacteristic
1234#95C23×C7311yescharacteristic
1235#95C23×C7311yescharacteristic
1236#95C23×C7311yescharacteristic
1237#95C23×C7311yescharacteristic
1238#95C23×C7311yescharacteristic
1239#95C23×C7311yescharacteristic
1240#95C23×C7311yescharacteristic
1241#95C23×C7311yescharacteristic
1242#95C23×C7311yescharacteristic
1243#95C23×C7311yescharacteristic
1244#95C23×C7311yescharacteristic
1245#95C23×C7311yescharacteristic
1246#95C23×C7311yescharacteristic
1247#95C23×C7311yescharacteristic
1248#95C23×C7311yescharacteristic
1249#95C23×C7311yescharacteristic
1250#95C23×C7311yescharacteristic
1251#95C23×C7311yescharacteristic
1252#95C23×C7311yescharacteristic
1253C24—22no—
1254C24—22no—
1255C24—22no—
1256C24—22no—
1257C24—22no—
1258C24—22no—
1259C24—22no—
1260C24—22no—
1261C24—22no—
1262C24—41no—
1263C24—41no—
1264C24—41no—
1265C24—41no—
1266C24#41×C7314yes—
1267C24C24×C7311yescharacteristic
1268C24C24×C7311yescharacteristic
1269C24C24×C7311yescharacteristic
1270C24C24×C7311yescharacteristic
1271C24C24×C7311yescharacteristic
1272C24C24×C7311yescharacteristic
1273C2×Q8—22no—
1274C2×Q8—41no—
1275C2×Q8—41no—
1276C2×D4—232no—
1277C2×D4—22no—
1278C2×D4—22no—
1279C2×D4—22no—
1280C2×D4—22no—
1281C2×D4—22no—
1282C2×D4—22no—
1283C2×D4—22no—
1284C2×D4—22no—
1285C2×D4—22no—
1286C2×D4—22no—
1287C2×D4—22no—
1288C2×D4—22no—
1289C2×D4—22no—
1290C2×D4—22no—
1291C2×D4—22no—
1292C2×D4—22no—
1293C2×D4—22no—
1294C2×D4—22no—
1295C2×D4—22no—
1296C2×D4—41no—
1297C2×D4—41no—
1298C2×D4—41no—
1299C2×D4—41no—
1300C2×D4—41no—
1301C2×D4—41no—
1302C2×D4C2×D4×C7314yes—
1303C2×D4#41×C7314yes—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—22no—
1310C22×C4—22no—
1311C22×C4—22no—
1312C22×C4—22no—
1313C22×C4—22no—
1314C22×C4—22no—
1315C22×C4—22no—
1316C22×C4—22no—
1317C22×C4—22no—
1318C22×C4—22no—
1319C22×C4—22no—
1320C22×C4—22no—
1321C22×C4—22no—
1322C22×C4—22no—
1323C22×C4—22no—
1324C22×C4—22no—
1325C22×C4—22no—
1326C22×C4—22no—
1327C22×C4—22no—
1328C22×C4—22no—
1329C22×C4—22no—
1330C22×C4—22no—
1331C22×C4—22no—
1332C22×C4—22no—
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—
1351C22×C4—41no—
1352C22×C4—41no—
1353C22×C4—41no—
1354C22×C4—41no—
1355C22×C4—41no—
1356C22×C4—416no—
1357C22×C4—416no—
1358C22×C4C2×D4×C7314yes—
1359C22×C4C2×D4×C7314yes—
1360C22×C4C24×C7311yescharacteristic
1361C22×C4C24×C7311yescharacteristic
1362C22×C4C24×C7311yescharacteristic
1363C22×C4C24×C7311yescharacteristic
1364C22×C4C24×C7311yescharacteristic
1365C22×C4C24×C7311yescharacteristic
1366C22×C4C24×C7311yescharacteristic
1367C22×C4C24×C7311yescharacteristic
1368C22×C4C24×C7311yescharacteristic
1369C22×C4C24×C7311yescharacteristic
1370C22×C4C24×C7311yescharacteristic
1371C22×C4C24×C7311yescharacteristic
1372C22×C4C24×C7311yescharacteristic
1373C22×C4C24×C7311yescharacteristic
1374C22×C4C24×C7311yescharacteristic
1375C22×C4C24×C7311yescharacteristic
1376C22×C4C24×C7311yescharacteristic
1377C22×C4C24×C7311yescharacteristic
1378C22×C4C24×C7311yescharacteristic
1379C22×C4C24×C7311yescharacteristic
1380C22×C4C24×C7311yescharacteristic
1381C22×C4C24×C7311yescharacteristic
1382C22×C4C24×C7311yescharacteristic
1383C22×C4C24×C7311yescharacteristic
1384C22×C4C24×C7311yescharacteristic
1385C4⋊C4—22no—
1386C4⋊C4—22no—
1387C4⋊C4—22no—
1388C4⋊C4—22no—
1389C4⋊C4—22no—
1390C4⋊C4—22no—
1391C4⋊C4—22no—
1392C4⋊C4—22no—
1393C4⋊C4—22no—
1394C4⋊C4—22no—
1395C4⋊C4—22no—
1396C4⋊C4—22no—
1397C4⋊C4—22no—
1398C4⋊C4—22no—
1399C4⋊C4—22no—
1400C4⋊C4—22no—
1401C4⋊C4—22no—
1402C4⋊C4—22no—
1403C4⋊C4—22no—
1404C4⋊C4—22no—
1405C4⋊C4—22no—
1406C4⋊C4—22no—
1407C4⋊C4—41no—
1408C4⋊C4—41no—
1409C4⋊C4—41no—
1410C4⋊C4—41no—
1411C4⋊C4—41no—
1412C4⋊C4—41no—
1413C4⋊C4—41no—
1414C4⋊C4—41no—
1415C4⋊C4—41no—
1416C4⋊C4—41no—
1417C4⋊C4—41no—
1418C4⋊C4C2×D4×C7314yes—
1419C22⋊C4—22no—
1420C22⋊C4—22no—
1421C22⋊C4—22no—
1422C22⋊C4—22no—
1423C22⋊C4—22no—
1424C22⋊C4—22no—
1425C22⋊C4—22no—
1426C22⋊C4—22no—
1427C22⋊C4—22no—
1428C22⋊C4—22no—
1429C22⋊C4—22no—
1430C22⋊C4—22no—
1431C22⋊C4—22no—
1432C22⋊C4—22no—
1433C22⋊C4—22no—
1434C22⋊C4—22no—
1435C22⋊C4—22no—
1436C22⋊C4—22no—
1437C22⋊C4—22no—
1438C22⋊C4—22no—
1439C22⋊C4—22no—
1440C22⋊C4—22no—
1441C22⋊C4—22no—
1442C22⋊C4—22no—
1443C22⋊C4—22no—
1444C22⋊C4—22no—
1445C22⋊C4—22no—
1446C22⋊C4—22no—
1447C22⋊C4—22no—
1448C22⋊C4—22no—
1449C22⋊C4—22no—
1450C22⋊C4—41no—
1451C22⋊C4—41no—
1452C22⋊C4—41no—
1453C22⋊C4—41no—
1454C22⋊C4—41no—
1455C22⋊C4—41no—
1456C22⋊C4—41no—
1457C22⋊C4—41no—
1458C22⋊C4—41no—
1459C22⋊C4—41no—
1460C22⋊C4—41no—
1461C22⋊C4—41no—
1462C22⋊C4—41no—
1463C22⋊C4—41no—
1464C22⋊C4—41no—
1465C22⋊C4C2×D4×C7314yes—
1466C22⋊C4C2×D4×C7314yes—
1467C42—22no—
1468C42—22no—
1469C42—22no—
1470C42—22no—
1471C42—41no—
1472C42—41no—
1473C42C2×D4×C7314yes—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—28no—
1483C23—28no—
1484C23—28no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—21no—
1490C23—21no—
1491C23—21no—
1492C23—21no—
1493C23—21no—
1494C23—21no—
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—44no—
1511C23—44no—
1512C23—44no—
1513C23—44no—
1514C23—44no—
1515C23—44no—
1516C23—44no—
1517C23—44no—
1518C23—44no—
1519C23—44no—
1520C23—44no—
1521C23C22×D4×C7312yes—
1522C23C22×D4×C7312yes—
1523C23C2×#41×C7312yes—
1524C23C2×#41×C7312yes—
1525C23C2×#41×C7312yes—
1526C23C2×#41×C7312yes—
1527C23C2×#41×C7312yes—
1528C23H(5,𝔽2)×C7312yes—
1529C232−1+4×C7312yes—
1530C23C25×C7311yescharacteristic
1531Q8—82no—
1532D4—28no—
1533D4—28no—
1534D4—28no—
1535D4—28no—
1536D4—44no—
1537D4—44no—
1538D4—44no—
1539D4—82no—
1540D4—82no—
1541C2×C4—28no—
1542C2×C4—28no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—44no—
1612C2×C4—44no—
1613C2×C4—44no—
1614C2×C4—44no—
1615C2×C4—44no—
1616C2×C4—44no—
1617C2×C4—44no—
1618C2×C4—44no—
1619C2×C4—44no—
1620C2×C4—44no—
1621C2×C4—44no—
1622C2×C4—44no—
1623C2×C4—44no—
1624C2×C4—82no—
1625C2×C4—82no—
1626C2×C4—82no—
1627C2×C4C22×D4×C7312yes—
1628C2×C4C22×D4×C7312yes—
1629C2×C4C22×D4×C7312yes—
1630C2×C4C22×D4×C7312yes—
1631C2×C4C22×D4×C7312yes—
1632C2×C4C2×#41×C7312yes—
1633C2×C4H(5,𝔽2)×C7312yes—
1634C22—22no—
1635C22—22no—
1636C22—22no—
1637C22—22no—
1638C22—22no—
1639C22—22no—
1640C22—22no—
1641C22—22no—
1642C22—22no—
1643C22—22no—
1644C22—22no—
1645C22—22no—
1646C22—22no—
1647C22—22no—
1648C22—22no—
1649C22—22no—
1650C22—22no—
1651C22—22no—
1652C22—22no—
1653C22—22no—
1654C22—22no—
1655C22—416no—
1656C22—416no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—41no—
1663C22—41no—
1664C22—41no—
1665C22—41no—
1666C22—41no—
1667C22—41no—
1668C22—41no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22#525×C7314yes—
1677C22#539×C7314yescomplemented
1678C22C23×D4×C7311yescharacteristic
1679C22C22×#41×C7311yescharacteristic
1680C22C22×#41×C7311yescharacteristic
1681C22C2×H(5,𝔽2)×C7311yescharacteristic
1682C22C2×H(5,𝔽2)×C7311yescharacteristic
1683C22C2×2−1+4×C7311yescharacteristic
1684C22#585×C7311yescharacteristic
1685C4—22no—
1686C4—22no—
1687C4—22no—
1688C4—22no—
1689C4—22no—
1690C4—22no—
1691C4—22no—
1692C4—41no—
1693C4—41no—
1694C4—41no—
1695C4—41no—
1696C4—41no—
1697C4—41no—
1698C4—41no—
1699C4—41no—
1700C4—41no—
1701C4—41no—
1702C4—41no—
1703C4—41no—
1704C4—41no—
1705C4—41no—
1706C4—41no—
1707C4—41no—
1708C4—41no—
1709C4—41no—
1710C2—24no—
1711C2—24no—
1712C2—42no—
1713C2—42no—
1714C2—42no—
1715C2—81no—
1716C2C2×#525×C7311yescharacteristic
1717C2C2×#539×C7311yescharacteristic
1718C2C73×#345911yescharacteristic
1719C2C73×#348411yescharacteristic
1720C2C73×#348911yescharacteristic
1721C2C73×#351311yescharacteristic
1722C2C73×#352011yescharacteristic
subgroupG/H
center, socleC23×C73C25
commutator, Frattini, cosocleC23C25×C73
prime radicalC73×#2410C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C73 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×#539×C73C2semidirect
2. C22×C4×D4×C73C2semidirect
3. C73×#2852C2semidirect
4. C73×#2851C2semidirect
5. C73×#2849C2semidirect
6. C73×#2848C2semidirect
7. C73×#2638C2semidirect
8. C73×#2636C2semidirect
9. C73×#2633C2semidirect
10. C73×#2630C2semidirect
11. C73×#2480C2semidirect
12. C73×#2473C2semidirect
13. C73×#2466C2semidirect
14. C73×#2463C2semidirect
15. C73×#2460C2semidirect
16. C73×#2455C2semidirect
17. C73×#2449C2semidirect
18. C73×#2449C2semidirect
19. C73×#2443C2semidirect
20. C73×#2437C2semidirect
21. C73×#2425C2semidirect
22. C73×#2419C2semidirect
23. C73×#2418C2semidirect
24. C73×#2412C2semidirect
26. C73×#2405C2semidirect
27. C73×#2325C2semidirect
28. C73×#2322C2semidirect
29. C73×#2318C2semidirect
30. C4×#120×C73C2semidirect
31. C2×#385×C73C2semidirect
36. C2×#126×C73C22semidirect
37. C2×#126×C73C22semidirect
38. C2×#125×C73C22semidirect
39. C2×#125×C73C22semidirect
42. C2×#123×C73C22semidirect
43. C2×#123×C73C22semidirect
44. C2×#123×C73C22semidirect
45. C2×#123×C73C22semidirect
47. C2×C22⋊Q8×C73C22semidirect
48. C2×C22⋊Q8×C73C22semidirect
49. C2×C22⋊Q8×C73C22semidirect
50. C2×C22⋊Q8×C73C22semidirect
65. C2×C4×D4×C73C22semidirect
66. C2×C4×D4×C73C22semidirect
68. C22×C4⋊C4×C73C22semidirect
69. C22×C4⋊C4×C73C22semidirect
75. #400×C73C22semidirect
76. #399×C73C22semidirect
77. #399×C73C22semidirect
78. #399×C73C22semidirect
79. #398×C73C22semidirect
80. #398×C73C22semidirect
81. #398×C73C22semidirect
82. #398×C73C22semidirect
83. #397×C73C22semidirect
84. #397×C73C22semidirect
85. #397×C73C22semidirect
86. #397×C73C22semidirect
87. #397×C73C22semidirect
88. #397×C73C22semidirect
89. #396×C73C22semidirect
90. #396×C73C22semidirect
91. #396×C73C22semidirect
92. #396×C73C22semidirect
93. #395×C73C22semidirect
100. #394×C73C22semidirect
101. #394×C73C22semidirect
102. #394×C73C22semidirect
103. #394×C73C22semidirect
104. #393×C73C22semidirect
107. #389×C73C22semidirect
108. #389×C73C22semidirect
109. #389×C73C22semidirect
110. #389×C73C22semidirect
111. #388×C73C22semidirect
112. #388×C73C22semidirect
113. #388×C73C22semidirect
114. #388×C73C22semidirect
115. #388×C73C22semidirect
116. #388×C73C22semidirect
117. #388×C73C22semidirect
118. #388×C73C22semidirect
119. #387×C73C22semidirect
120. #387×C73C22semidirect
121. #387×C73C22semidirect
122. #387×C73C22semidirect
123. #387×C73C22semidirect
124. #387×C73C22semidirect
125. #387×C73C22semidirect
126. #387×C73C22semidirect
127. #387×C73C22semidirect
128. #387×C73C22semidirect
137. #386×C73C22semidirect
138. #386×C73C22semidirect
139. #386×C73C22semidirect
140. #386×C73C22semidirect
141. #386×C73C22semidirect
142. #386×C73C22semidirect
153. #385×C73C22semidirect
154. #385×C73C22semidirect
155. #385×C73C22semidirect
156. #385×C73C22semidirect
157. #385×C73C22semidirect
158. #385×C73C22semidirect
159. #385×C73C22semidirect
160. #385×C73C22semidirect
161. #385×C73C22semidirect
162. #385×C73C22semidirect
163. #385×C73C22semidirect
164. #385×C73C22semidirect
165. #385×C73C22semidirect
166. #385×C73C22semidirect
167. #385×C73C22semidirect
168. #385×C73C22semidirect
169. #383×C73C22semidirect
170. #382×C73C22semidirect
171. #381×C73C22semidirect
172. #381×C73C22semidirect
173. #381×C73C22semidirect
177. #380×C73C22semidirect
178. #380×C73C22semidirect
179. #380×C73C22semidirect
185. C4×C22⋊C4×C73C22semidirect
186. C4×C22⋊C4×C73C22semidirect
187. C2×#95×C73C22semidirect
188. C2×#95×C73C22semidirect
257. C4×D4×C73D4semidirect
815. C22×C73#539semidirect
848. #34991C73direct (N × H)
862. C2×#539C2×C73semidirect
863. C22×C4×D4C2×C73semidirect
864. #2852C2×C73semidirect
865. #2851C2×C73semidirect
866. #2849C2×C73semidirect
867. #2848C2×C73semidirect
868. #2638C2×C73semidirect
869. #2636C2×C73semidirect
870. #2633C2×C73semidirect
871. #2630C2×C73semidirect
872. #2480C2×C73semidirect
873. #2473C2×C73semidirect
874. #2466C2×C73semidirect
875. #2463C2×C73semidirect
876. #2460C2×C73semidirect
877. #2455C2×C73semidirect
878. #2449C2×C73semidirect
879. #2449C2×C73semidirect
880. #2443C2×C73semidirect
881. #2437C2×C73semidirect
882. #2425C2×C73semidirect
883. #2419C2×C73semidirect
884. #2418C2×C73semidirect
885. #2412C2×C73semidirect
887. #2405C2×C73semidirect
888. #2325C2×C73semidirect
889. #2322C2×C73semidirect
890. #2318C2×C73semidirect
891. C4×#120C2×C73semidirect
892. C2×#385C2×C73semidirect
893. C73#34991direct (N × H)
898. C2×#126C22×C73semidirect
899. C2×#126C22×C73semidirect
900. C2×#125C22×C73semidirect
901. C2×#125C22×C73semidirect
904. C2×#123C22×C73semidirect
905. C2×#123C22×C73semidirect
906. C2×#123C22×C73semidirect
907. C2×#123C22×C73semidirect
909. C2×C22⋊Q8C22×C73semidirect
910. C2×C22⋊Q8C22×C73semidirect
911. C2×C22⋊Q8C22×C73semidirect
912. C2×C22⋊Q8C22×C73semidirect
927. C2×C4×D4C22×C73semidirect
928. C2×C4×D4C22×C73semidirect
930. C22×C4⋊C4C22×C73semidirect
931. C22×C4⋊C4C22×C73semidirect
937. #400C22×C73semidirect
938. #399C22×C73semidirect
939. #399C22×C73semidirect
940. #399C22×C73semidirect
941. #398C22×C73semidirect
942. #398C22×C73semidirect
943. #398C22×C73semidirect
944. #398C22×C73semidirect
945. #397C22×C73semidirect
946. #397C22×C73semidirect
947. #397C22×C73semidirect
948. #397C22×C73semidirect
949. #397C22×C73semidirect
950. #397C22×C73semidirect
951. #396C22×C73semidirect
952. #396C22×C73semidirect
953. #396C22×C73semidirect
954. #396C22×C73semidirect
955. #395C22×C73semidirect
962. #394C22×C73semidirect
963. #394C22×C73semidirect
964. #394C22×C73semidirect
965. #394C22×C73semidirect
966. #393C22×C73semidirect
969. #389C22×C73semidirect
970. #389C22×C73semidirect
971. #389C22×C73semidirect
972. #389C22×C73semidirect
973. #388C22×C73semidirect
974. #388C22×C73semidirect
975. #388C22×C73semidirect
976. #388C22×C73semidirect
977. #388C22×C73semidirect
978. #388C22×C73semidirect
979. #388C22×C73semidirect
980. #388C22×C73semidirect
981. #387C22×C73semidirect
982. #387C22×C73semidirect
983. #387C22×C73semidirect
984. #387C22×C73semidirect
985. #387C22×C73semidirect
986. #387C22×C73semidirect
987. #387C22×C73semidirect
988. #387C22×C73semidirect
989. #387C22×C73semidirect
990. #387C22×C73semidirect
999. #386C22×C73semidirect
1000. #386C22×C73semidirect
1001. #386C22×C73semidirect
1002. #386C22×C73semidirect
1003. #386C22×C73semidirect
1004. #386C22×C73semidirect
1015. #385C22×C73semidirect
1016. #385C22×C73semidirect
1017. #385C22×C73semidirect
1018. #385C22×C73semidirect
1019. #385C22×C73semidirect
1020. #385C22×C73semidirect
1021. #385C22×C73semidirect
1022. #385C22×C73semidirect
1023. #385C22×C73semidirect
1024. #385C22×C73semidirect
1025. #385C22×C73semidirect
1026. #385C22×C73semidirect
1027. #385C22×C73semidirect
1028. #385C22×C73semidirect
1029. #385C22×C73semidirect
1030. #385C22×C73semidirect
1031. #383C22×C73semidirect
1032. #382C22×C73semidirect
1033. #381C22×C73semidirect
1034. #381C22×C73semidirect
1035. #381C22×C73semidirect
1039. #380C22×C73semidirect
1040. #380C22×C73semidirect
1041. #380C22×C73semidirect
1047. C4×C22⋊C4C22×C73semidirect
1048. C4×C22⋊C4C22×C73semidirect
1049. C2×#95C22×C73semidirect
1050. C2×#95C22×C73semidirect
1119. C4×D4D4×C73semidirect
1677. C22#539×C73semidirect

Maximal subgroups

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

subgroupindex
C2×#539×C732
C22×C4×D4×C732
C73×#28522
C73×#28512
C73×#28492
C73×#28482
C73×#26382
C73×#26362
C73×#26332
C73×#26302
C73×#24802
C73×#24732
C73×#24662
C73×#24632
C73×#24602
C73×#24552
C73×#24492
C73×#24432
C73×#24372
C73×#24252
C73×#24192
C73×#24182
C73×#24122
C73×#24102
C73×#24052
C73×#23252
C73×#23222
C73×#23182
C4×#120×C732
C2×#385×C732
#3499173