Finite Group Databasebeta

← C73×#34740 #32944144

Subgroups — C73×#34740 #32944144

Order 18688.

2668 conjugacy classes of subgroups.

The subgroup lattice has 1622 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#529×C73C211yesmaximal, characteristic, complemented
2C22×#117×C73C211yesmaximal, characteristic, complemented
3C73×#2481C211yesmaximal, characteristic, complemented
4C73×#2480C211yesmaximal, characteristic, complemented
5C73×#2479C211yesmaximal, characteristic, complemented
6C73×#2478C211yesmaximal, characteristic, complemented
7C73×#2477C211yesmaximal, characteristic, complemented
8C73×#2476C211yesmaximal, characteristic, complemented
9C73×#2475C211yesmaximal, characteristic, complemented
10C73×#2474C211yesmaximal, characteristic, complemented
11C73×#2473C211yesmaximal, characteristic, complemented
12C73×#2472C211yesmaximal, characteristic, complemented
13C73×#2471C211yesmaximal, characteristic, complemented
14C73×#2470C211yesmaximal, characteristic, complemented
15C73×#2449C211yesmaximal, characteristic, complemented
16C73×#2443C211yesmaximal, characteristic, complemented
17C73×#2424C211yesmaximal, characteristic
18C73×#2418C211yesmaximal, characteristic, complemented
19C73×#2396C211yesmaximal, characteristic, complemented
20C73×#2395C211yesmaximal, characteristic, complemented
21C73×#2395C211yesmaximal, characteristic, complemented
22C73×#2392C211yesmaximal, characteristic, complemented
23C4×C22⋊Q8×C73C211yesmaximal, characteristic, complemented
24C4×#121×C73C211yesmaximal, characteristic, complemented
25C4×#120×C73C211yesmaximal, characteristic, complemented
26C4×#120×C73C211yesmaximal, characteristic, complemented
27C73×#2298C211yesmaximal, characteristic, complemented
28C73×#2293C211yesmaximal, characteristic, complemented
29C73×#2290C211yesmaximal, characteristic, complemented
30C73×#2290C211yesmaximal, characteristic, complemented
31C42×D4×C73C211yesmaximal, characteristic, complemented
32C24×C4×C73C2211yescharacteristic
33#529×C73—28no—
34C2×#126×C73C2211yescharacteristic
35C2×#126×C73C2211yescharacteristic, complemented
36C2×#125×C73C2211yescharacteristic, complemented
37C2×#124×C73C2211yescharacteristic
38C2×#123×C73C2211yescharacteristic
39C2×#123×C73C2211yescharacteristic, complemented
40C2×C22⋊Q8×C73C2211yescharacteristic
41C2×C22⋊Q8×C73C2211yescharacteristic, complemented
42C2×#121×C73C2211yescharacteristic
43C2×#121×C73C2211yescharacteristic
44C2×#120×C73C2211yescharacteristic
45C2×#120×C73C2211yescharacteristic
46C2×C4×Q8×C73C2211yescharacteristic, complemented
47C2×C4×D4×C73C2211yescharacteristic
48C2×C4×D4×C73C2211yescharacteristic
49C2×C4×D4×C73C2211yescharacteristic
50C2×C4×D4×C73C2211yescharacteristic
51C2×C4×D4×C73C2211yescharacteristic
52C2×C4×D4×C73C2211yescharacteristic
53C2×C4×D4×C73C2211yescharacteristic
54C2×C4×D4×C73C2211yescharacteristic
55C2×C4×D4×C73C2211yescharacteristic, complemented
56C2×#117×C73—28no—
57C2×#117×C73C2211yescharacteristic
58C2×#117×C73C2211yescharacteristic
59C2×#117×C73C2211yescharacteristic
60C2×#117×C73C2211yescharacteristic
61C2×#117×C73C2211yescharacteristic
62C2×#117×C73C2211yescharacteristic
63C2×#117×C73C2211yescharacteristic
64C2×#117×C73C2211yescharacteristic
65C2×#117×C73C2211yescharacteristic, complemented
66C22×C4⋊C4×C73C2211yescharacteristic
67C22×C4⋊C4×C73C2211yescharacteristic
68C22×C22⋊C4×C73C2211yescharacteristic
69C22×C22⋊C4×C73C2211yescharacteristic
70C22×C42×C73C2211yescharacteristic
71C22×C42×C73C2211yescharacteristic
72C22×C42×C73C2211yescharacteristic, complemented
73#400×C73C2211yescharacteristic, complemented
74#400×C73C2211yescharacteristic, complemented
75#400×C73C2211yescharacteristic, complemented
76#399×C73C2211yescharacteristic
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#398×C73C2211yescharacteristic, complemented
84#397×C73C2211yescharacteristic
85#397×C73C2211yescharacteristic
86#397×C73C2211yescharacteristic
87#397×C73C2211yescharacteristic
88#397×C73C2211yescharacteristic
89#397×C73C2211yescharacteristic, complemented
90#397×C73C2211yescharacteristic, complemented
91#396×C73C2211yescharacteristic
92#396×C73C2211yescharacteristic
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#392×C73C2211yescharacteristic
105#391×C73C2211yescharacteristic, complemented
106#390×C73C2211yescharacteristic
107#390×C73C2211yescharacteristic
108#390×C73C2211yescharacteristic, complemented
109#389×C73C2211yescharacteristic, complemented
110#389×C73C2211yescharacteristic, complemented
111#389×C73C2211yescharacteristic, complemented
112#389×C73C2211yescharacteristic, complemented
113#388×C73C2211yescharacteristic
114#388×C73C2211yescharacteristic
115#388×C73C2211yescharacteristic
116#388×C73C2211yescharacteristic
117#388×C73C2211yescharacteristic
118#388×C73C2211yescharacteristic
119#388×C73C2211yescharacteristic
120#388×C73C2211yescharacteristic
121#388×C73C2211yescharacteristic, complemented
122#388×C73C2211yescharacteristic, complemented
123#388×C73C2211yescharacteristic, complemented
124#388×C73C2211yescharacteristic, complemented
125#388×C73C2211yescharacteristic, complemented
126#388×C73C2211yescharacteristic, complemented
127#387×C73C2211yescharacteristic, complemented
128#387×C73C2211yescharacteristic, complemented
129#387×C73C2211yescharacteristic, complemented
130#387×C73C2211yescharacteristic, complemented
131#387×C73C2211yescharacteristic, complemented
132#387×C73C2211yescharacteristic, complemented
133#387×C73C2211yescharacteristic, complemented
134#387×C73C2211yescharacteristic, complemented
135#387×C73C2211yescharacteristic, complemented
136#387×C73C2211yescharacteristic, complemented
137#386×C73C2211yescharacteristic
138#386×C73C2211yescharacteristic
139#386×C73C2211yescharacteristic
140#386×C73C2211yescharacteristic
141#386×C73C2211yescharacteristic
142#386×C73C2211yescharacteristic
143#386×C73C2211yescharacteristic
144#386×C73C2211yescharacteristic
145#386×C73C2211yescharacteristic
146#386×C73C2211yescharacteristic
147#386×C73C2211yescharacteristic
148#386×C73C2211yescharacteristic
149#385×C73C2211yescharacteristic
150#385×C73C2211yescharacteristic
151#385×C73C2211yescharacteristic
152#385×C73C2211yescharacteristic
153#385×C73C2211yescharacteristic
154#385×C73C2211yescharacteristic
155#385×C73C2211yescharacteristic
156#385×C73C2211yescharacteristic
157#385×C73C2211yescharacteristic
158#385×C73C2211yescharacteristic
159#385×C73C2211yescharacteristic, complemented
160#385×C73C2211yescharacteristic, complemented
161#380×C73C2211yescharacteristic
162#380×C73C2211yescharacteristic
163#379×C73C2211yescharacteristic
164#379×C73C2211yescharacteristic
165C4×C4⋊C4×C73C2211yescharacteristic, complemented
166C4×C4⋊C4×C73C2211yescharacteristic, complemented
167C4×C4⋊C4×C73C2211yescharacteristic, complemented
168C4×C4⋊C4×C73C2211yescharacteristic, complemented
169C4×C4⋊C4×C73C2211yescharacteristic, complemented
170C4×C4⋊C4×C73C2211yescharacteristic, complemented
171C4×C4⋊C4×C73C2211yescharacteristic, complemented
172C4×C4⋊C4×C73C2211yescharacteristic, complemented
173C4×C22⋊C4×C73C2211yescharacteristic
174C4×C22⋊C4×C73C2211yescharacteristic
175C4×C22⋊C4×C73C2211yescharacteristic
176C4×C22⋊C4×C73C2211yescharacteristic
177C4×C22⋊C4×C73C2211yescharacteristic
178C4×C22⋊C4×C73C2211yescharacteristic
179C4×C22⋊C4×C73C2211yescharacteristic
180C4×C22⋊C4×C73C2211yescharacteristic
181C4×C22⋊C4×C73C2211yescharacteristic, complemented
182C4×C22⋊C4×C73C2211yescharacteristic, complemented
183C4×C22⋊C4×C73C2211yescharacteristic, complemented
184C4×C22⋊C4×C73C2211yescharacteristic, complemented
185C4×C22⋊C4×C73C2211yescharacteristic, complemented
186C4×C22⋊C4×C73C2211yescharacteristic, complemented
187#376×C73C2211yescharacteristic, complemented
188C43×C73C2211yescharacteristic, complemented
189C25×C73C2311yescharacteristic
190C22×Q8×C73C2311yescharacteristic
191C22×D4×C73C2311yescharacteristic
192C22×D4×C73C2311yescharacteristic
193C22×D4×C73C2311yescharacteristic
194C22×D4×C73C2311yescharacteristic
195C22×D4×C73C2311yescharacteristic
196C22×D4×C73C2311yescharacteristic
197C22×D4×C73C2311yescharacteristic
198C23×C4×C73—24no—
199C23×C4×C73—24no—
200C23×C4×C73—24no—
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
212C23×C4×C73C2311yescharacteristic
213C23×C4×C73C2311yescharacteristic
214C23×C4×C73C2311yescharacteristic
215#126×C73—24no—
216#126×C73—24no—
217#125×C73—24no—
218#124×C73—24no—
219#123×C73—24no—
220#123×C73—24no—
221C22⋊Q8×C73—24no—
222C22⋊Q8×C73—24no—
223#121×C73—24no—
224#121×C73—24no—
225#120×C73—24no—
226#120×C73—24no—
227C4×Q8×C73—24no—
228C4×D4×C73—24no—
229C4×D4×C73—24no—
230C4×D4×C73—24no—
231C4×D4×C73—24no—
232C4×D4×C73—24no—
233C4×D4×C73—24no—
234C4×D4×C73—24no—
235C4×D4×C73—24no—
236C4×D4×C73—24no—
237#117×C73—24no—
238#117×C73—24no—
239#117×C73—24no—
240#117×C73—24no—
241#117×C73—24no—
242#117×C73—24no—
243#117×C73—24no—
244#117×C73—24no—
245#117×C73D418yescomplemented
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×C22⋊C4×C73—24no—
281C2×C22⋊C4×C73—24no—
282C2×C22⋊C4×C73C2311yescharacteristic
283C2×C22⋊C4×C73C2311yescharacteristic
284C2×C22⋊C4×C73C2311yescharacteristic
285C2×C22⋊C4×C73C2311yescharacteristic
286C2×C22⋊C4×C73C2311yescharacteristic
287C2×C22⋊C4×C73C2311yescharacteristic
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×C42×C73—24no—
327C2×C42×C73—24no—
328C2×C42×C73—24no—
329C2×C42×C73C2311yescharacteristic
330C2×C42×C73C2311yescharacteristic
331C2×C42×C73C2311yescharacteristic
332C2×C42×C73C2311yescharacteristic
333C2×C42×C73C2311yescharacteristic
334C2×C42×C73C2311yescharacteristic
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—22no—
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—41no—
400C2×D4×C73—22no—
401C2×D4×C73—22no—
402C2×D4×C73—22no—
403C2×D4×C73—22no—
404C2×D4×C73—22no—
405C2×D4×C73—22no—
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—41no—
416C2×D4×C73—41no—
417C2×D4×C73—41no—
418C2×D4×C73—41no—
419C2×D4×C73—41no—
420C2×D4×C73#4114yes—
421C22×C4×C73—232no—
422C22×C4×C73—22no—
423C22×C4×C73—22no—
424C22×C4×C73—22no—
425C22×C4×C73—22no—
426C22×C4×C73—22no—
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—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—41no—
456C22×C4×C73—41no—
457C22×C4×C73—41no—
458C22×C4×C73—41no—
459C22×C4×C73—41no—
460C22×C4×C73—41no—
461C22×C4×C73C2×D414yes—
462C22×C4×C73#4114yes—
463C22×C4×C73#4114yes—
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
489C22×C4×C73C2411yescharacteristic
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×C73C2×D414yes—
521C4⋊C4×C73C2×D414yes—
522C22⋊C4×C73—22no—
523C22⋊C4×C73—22no—
524C22⋊C4×C73—22no—
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—41no—
556C22⋊C4×C73—41no—
557C22⋊C4×C73—41no—
558C22⋊C4×C73—41no—
559C22⋊C4×C73—41no—
560C22⋊C4×C73—41no—
561C22⋊C4×C73—41no—
562C22⋊C4×C73—41no—
563C22⋊C4×C73C2×D414yes—
564C22⋊C4×C73C2×D414yes—
565C22⋊C4×C73#4114yes—
566C42×C73—22no—
567C42×C73—22no—
568C42×C73—22no—
569C42×C73—22no—
570C42×C73—22no—
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—22no—
582C42×C73—41no—
583C42×C73—41no—
584C42×C73C2×D414yes—
585C42×C73C2×D414yes—
586C23×C73—21no—
587C23×C73—21no—
588C23×C73—21no—
589C23×C73—21no—
590C23×C73—28no—
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—21no—
616C23×C73—44no—
617C23×C73—44no—
618C23×C73—44no—
619C23×C73—44no—
620C23×C73—44no—
621C23×C73—44no—
622C23×C73C22×D412yes—
623C23×C73C2×#4112yes—
624C23×C73C2×#4112yes—
625C23×C73C2×#4112yes—
626C23×C73C2×#4112yes—
627C23×C73C2×#4112yes—
628C23×C73C2511yescharacteristic
629Q8×C73—44no—
630D4×C73—28no—
631D4×C73—44no—
632D4×C73—44no—
633D4×C73—44no—
634D4×C73—44no—
635D4×C73—44no—
636D4×C73—44no—
637C2×C4×C73—28no—
638C2×C4×C73—28no—
639C2×C4×C73—28no—
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—28no—
661C2×C4×C73—28no—
662C2×C4×C73—28no—
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—21no—
707C2×C4×C73—21no—
708C2×C4×C73—44no—
709C2×C4×C73—44no—
710C2×C4×C73—44no—
711C2×C4×C73—44no—
712C2×C4×C73—44no—
713C2×C4×C73—44no—
714C2×C4×C73—44no—
715C2×C4×C73—44no—
716C2×C4×C73C22×D412yes—
717C2×C4×C73C22×D412yes—
718C2×C4×C73C22×D412yes—
719C2×C4×C73C22×D412yes—
720C2×C4×C73C22×D412yes—
721C2×C4×C73C22×D412yes—
722C2×C4×C73C2×#4112yes—
723C2×C4×C73C2×#4112yes—
724C2×C4×C73C2×#4112yes—
725C2×C4×C73C2×#4112yes—
726C2×C4×C73C2×#4112yes—
727C2×C4×C73C2×#4112yes—
728C2×C4×C73C2×#4112yes—
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—22no—
741C22×C73—22no—
742C22×C73—22no—
743C22×C73—22no—
744C22×C73—416no—
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—41no—
763C22×C73—41no—
764C22×C73#52914yescomplemented
765C22×C73C23×D411yescharacteristic
766C22×C73C22×#4111yescharacteristic
767C22×C73C22×#4111yescharacteristic
768C22×C73C22×#4111yescharacteristic
769C22×C73C22×#4111yescharacteristic
770C22×C73#58511yescharacteristic
771C22×C73#58511yescharacteristic
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—22no—
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—
797C4×C73#52514yes—
798#34740C7311yesmaximal, characteristic, direct product factor, Sylow
799C2×C73—24no—
800C2×C73—42no—
801C2×C73—42no—
802C2×C73—42no—
803C2×C73—81no—
804C2×C73C2×#52511yescharacteristic
805C2×C73C2×#52911yescharacteristic
806C2×C73#345511yescharacteristic
807C2×C73D4×#4111yescharacteristic
808C2×C73D4×#4111yescharacteristic
809C2×C73#347511yescharacteristic
810C2×C73#347511yescharacteristic
811C2×#529C2×C7311yescharacteristic, complemented
812C22×#117C2×C7311yescharacteristic, complemented
813#2481C2×C7311yescharacteristic, complemented
814#2480C2×C7311yescharacteristic, complemented
815#2479C2×C7311yescharacteristic, complemented
816#2478C2×C7311yescharacteristic, complemented
817#2477C2×C7311yescharacteristic, complemented
818#2476C2×C7311yescharacteristic, complemented
819#2475C2×C7311yescharacteristic, complemented
820#2474C2×C7311yescharacteristic, complemented
821#2473C2×C7311yescharacteristic, complemented
822#2472C2×C7311yescharacteristic, complemented
823#2471C2×C7311yescharacteristic, complemented
824#2470C2×C7311yescharacteristic, complemented
825#2449C2×C7311yescharacteristic, complemented
826#2443C2×C7311yescharacteristic, complemented
827#2424C2×C7311yescharacteristic
828#2418C2×C7311yescharacteristic, complemented
829#2396C2×C7311yescharacteristic, complemented
830#2395C2×C7311yescharacteristic, complemented
831#2395C2×C7311yescharacteristic, complemented
832#2392C2×C7311yescharacteristic, complemented
833C4×C22⋊Q8C2×C7311yescharacteristic, complemented
834C4×#121C2×C7311yescharacteristic, complemented
835C4×#120C2×C7311yescharacteristic, complemented
836C4×#120C2×C7311yescharacteristic, complemented
837#2298C2×C7311yescharacteristic, complemented
838#2293C2×C7311yescharacteristic, complemented
839#2290C2×C7311yescharacteristic, complemented
840#2290C2×C7311yescharacteristic, complemented
841C42×D4C2×C7311yescharacteristic, complemented
842C73#3474011yescharacteristic, direct product factor, Sylow
843C24×C4C22×C7311yescharacteristic
844#529—28no—
845C2×#126C22×C7311yescharacteristic
846C2×#126C22×C7311yescharacteristic, complemented
847C2×#125C22×C7311yescharacteristic, complemented
848C2×#124C22×C7311yescharacteristic
849C2×#123C22×C7311yescharacteristic
850C2×#123C22×C7311yescharacteristic, complemented
851C2×C22⋊Q8C22×C7311yescharacteristic
852C2×C22⋊Q8C22×C7311yescharacteristic, complemented
853C2×#121C22×C7311yescharacteristic
854C2×#121C22×C7311yescharacteristic
855C2×#120C22×C7311yescharacteristic
856C2×#120C22×C7311yescharacteristic
857C2×C4×Q8C22×C7311yescharacteristic, complemented
858C2×C4×D4C22×C7311yescharacteristic
859C2×C4×D4C22×C7311yescharacteristic
860C2×C4×D4C22×C7311yescharacteristic
861C2×C4×D4C22×C7311yescharacteristic
862C2×C4×D4C22×C7311yescharacteristic
863C2×C4×D4C22×C7311yescharacteristic
864C2×C4×D4C22×C7311yescharacteristic
865C2×C4×D4C22×C7311yescharacteristic
866C2×C4×D4C22×C7311yescharacteristic, complemented
867C2×#117—28no—
868C2×#117C22×C7311yescharacteristic
869C2×#117C22×C7311yescharacteristic
870C2×#117C22×C7311yescharacteristic
871C2×#117C22×C7311yescharacteristic
872C2×#117C22×C7311yescharacteristic
873C2×#117C22×C7311yescharacteristic
874C2×#117C22×C7311yescharacteristic
875C2×#117C22×C7311yescharacteristic
876C2×#117C22×C7311yescharacteristic, complemented
877C22×C4⋊C4C22×C7311yescharacteristic
878C22×C4⋊C4C22×C7311yescharacteristic
879C22×C22⋊C4C22×C7311yescharacteristic
880C22×C22⋊C4C22×C7311yescharacteristic
881C22×C42C22×C7311yescharacteristic
882C22×C42C22×C7311yescharacteristic
883C22×C42C22×C7311yescharacteristic, complemented
884#400C22×C7311yescharacteristic, complemented
885#400C22×C7311yescharacteristic, complemented
886#400C22×C7311yescharacteristic, complemented
887#399C22×C7311yescharacteristic
888#399C22×C7311yescharacteristic, complemented
889#399C22×C7311yescharacteristic, complemented
890#398C22×C7311yescharacteristic, complemented
891#398C22×C7311yescharacteristic, complemented
892#398C22×C7311yescharacteristic, complemented
893#398C22×C7311yescharacteristic, complemented
894#398C22×C7311yescharacteristic, complemented
895#397C22×C7311yescharacteristic
896#397C22×C7311yescharacteristic
897#397C22×C7311yescharacteristic
898#397C22×C7311yescharacteristic
899#397C22×C7311yescharacteristic
900#397C22×C7311yescharacteristic, complemented
901#397C22×C7311yescharacteristic, complemented
902#396C22×C7311yescharacteristic
903#396C22×C7311yescharacteristic
904#396C22×C7311yescharacteristic, complemented
905#396C22×C7311yescharacteristic, complemented
906#395C22×C7311yescharacteristic, complemented
907#394C22×C7311yescharacteristic
908#394C22×C7311yescharacteristic
909#394C22×C7311yescharacteristic
910#394C22×C7311yescharacteristic
911#394C22×C7311yescharacteristic
912#394C22×C7311yescharacteristic
913#394C22×C7311yescharacteristic, complemented
914#393C22×C7311yescharacteristic
915#392C22×C7311yescharacteristic
916#391C22×C7311yescharacteristic, complemented
917#390C22×C7311yescharacteristic
918#390C22×C7311yescharacteristic
919#390C22×C7311yescharacteristic, complemented
920#389C22×C7311yescharacteristic, complemented
921#389C22×C7311yescharacteristic, complemented
922#389C22×C7311yescharacteristic, complemented
923#389C22×C7311yescharacteristic, complemented
924#388C22×C7311yescharacteristic
925#388C22×C7311yescharacteristic
926#388C22×C7311yescharacteristic
927#388C22×C7311yescharacteristic
928#388C22×C7311yescharacteristic
929#388C22×C7311yescharacteristic
930#388C22×C7311yescharacteristic
931#388C22×C7311yescharacteristic
932#388C22×C7311yescharacteristic, complemented
933#388C22×C7311yescharacteristic, complemented
934#388C22×C7311yescharacteristic, complemented
935#388C22×C7311yescharacteristic, complemented
936#388C22×C7311yescharacteristic, complemented
937#388C22×C7311yescharacteristic, complemented
938#387C22×C7311yescharacteristic, complemented
939#387C22×C7311yescharacteristic, complemented
940#387C22×C7311yescharacteristic, complemented
941#387C22×C7311yescharacteristic, complemented
942#387C22×C7311yescharacteristic, complemented
943#387C22×C7311yescharacteristic, complemented
944#387C22×C7311yescharacteristic, complemented
945#387C22×C7311yescharacteristic, complemented
946#387C22×C7311yescharacteristic, complemented
947#387C22×C7311yescharacteristic, complemented
948#386C22×C7311yescharacteristic
949#386C22×C7311yescharacteristic
950#386C22×C7311yescharacteristic
951#386C22×C7311yescharacteristic
952#386C22×C7311yescharacteristic
953#386C22×C7311yescharacteristic
954#386C22×C7311yescharacteristic
955#386C22×C7311yescharacteristic
956#386C22×C7311yescharacteristic
957#386C22×C7311yescharacteristic
958#386C22×C7311yescharacteristic
959#386C22×C7311yescharacteristic
960#385C22×C7311yescharacteristic
961#385C22×C7311yescharacteristic
962#385C22×C7311yescharacteristic
963#385C22×C7311yescharacteristic
964#385C22×C7311yescharacteristic
965#385C22×C7311yescharacteristic
966#385C22×C7311yescharacteristic
967#385C22×C7311yescharacteristic
968#385C22×C7311yescharacteristic
969#385C22×C7311yescharacteristic
970#385C22×C7311yescharacteristic, complemented
971#385C22×C7311yescharacteristic, complemented
972#380C22×C7311yescharacteristic
973#380C22×C7311yescharacteristic
974#379C22×C7311yescharacteristic
975#379C22×C7311yescharacteristic
976C4×C4⋊C4C22×C7311yescharacteristic, complemented
977C4×C4⋊C4C22×C7311yescharacteristic, complemented
978C4×C4⋊C4C22×C7311yescharacteristic, complemented
979C4×C4⋊C4C22×C7311yescharacteristic, complemented
980C4×C4⋊C4C22×C7311yescharacteristic, complemented
981C4×C4⋊C4C22×C7311yescharacteristic, complemented
982C4×C4⋊C4C22×C7311yescharacteristic, complemented
983C4×C4⋊C4C22×C7311yescharacteristic, complemented
984C4×C22⋊C4C22×C7311yescharacteristic
985C4×C22⋊C4C22×C7311yescharacteristic
986C4×C22⋊C4C22×C7311yescharacteristic
987C4×C22⋊C4C22×C7311yescharacteristic
988C4×C22⋊C4C22×C7311yescharacteristic
989C4×C22⋊C4C22×C7311yescharacteristic
990C4×C22⋊C4C22×C7311yescharacteristic
991C4×C22⋊C4C22×C7311yescharacteristic
992C4×C22⋊C4C22×C7311yescharacteristic, complemented
993C4×C22⋊C4C22×C7311yescharacteristic, complemented
994C4×C22⋊C4C22×C7311yescharacteristic, complemented
995C4×C22⋊C4C22×C7311yescharacteristic, complemented
996C4×C22⋊C4C22×C7311yescharacteristic, complemented
997C4×C22⋊C4C22×C7311yescharacteristic, complemented
998#376C22×C7311yescharacteristic, complemented
999C43C22×C7311yescharacteristic, complemented
1000C25C23×C7311yescharacteristic
1001C22×Q8C23×C7311yescharacteristic
1002C22×D4C23×C7311yescharacteristic
1003C22×D4C23×C7311yescharacteristic
1004C22×D4C23×C7311yescharacteristic
1005C22×D4C23×C7311yescharacteristic
1006C22×D4C23×C7311yescharacteristic
1007C22×D4C23×C7311yescharacteristic
1008C22×D4C23×C7311yescharacteristic
1009C23×C4—24no—
1010C23×C4—24no—
1011C23×C4—24no—
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
1022C23×C4C23×C7311yescharacteristic
1023C23×C4C23×C7311yescharacteristic
1024C23×C4C23×C7311yescharacteristic
1025C23×C4C23×C7311yescharacteristic
1026#126—24no—
1027#126—24no—
1028#125—24no—
1029#124—24no—
1030#123—24no—
1031#123—24no—
1032C22⋊Q8—24no—
1033C22⋊Q8—24no—
1034#121—24no—
1035#121—24no—
1036#120—24no—
1037#120—24no—
1038C4×Q8—24no—
1039C4×D4—24no—
1040C4×D4—24no—
1041C4×D4—24no—
1042C4×D4—24no—
1043C4×D4—24no—
1044C4×D4—24no—
1045C4×D4—24no—
1046C4×D4—24no—
1047C4×D4—24no—
1048#117—24no—
1049#117—24no—
1050#117—24no—
1051#117—24no—
1052#117—24no—
1053#117—24no—
1054#117—24no—
1055#117—24no—
1056#117D4×C7318yescomplemented
1057C2×C4⋊C4—24no—
1058C2×C4⋊C4—24no—
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×C22⋊C4—24no—
1092C2×C22⋊C4—24no—
1093C2×C22⋊C4C23×C7311yescharacteristic
1094C2×C22⋊C4C23×C7311yescharacteristic
1095C2×C22⋊C4C23×C7311yescharacteristic
1096C2×C22⋊C4C23×C7311yescharacteristic
1097C2×C22⋊C4C23×C7311yescharacteristic
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×C42—24no—
1138C2×C42—24no—
1139C2×C42—24no—
1140C2×C42C23×C7311yescharacteristic
1141C2×C42C23×C7311yescharacteristic
1142C2×C42C23×C7311yescharacteristic
1143C2×C42C23×C7311yescharacteristic
1144C2×C42C23×C7311yescharacteristic
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
1159C2×C42C23×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
1195#95C23×C7311yescharacteristic
1196C24—22no—
1197C24—22no—
1198C24—22no—
1199C24—22no—
1200C24—22no—
1201C24—41no—
1202C24—41no—
1203C24C24×C7311yescharacteristic
1204C24C24×C7311yescharacteristic
1205C24C24×C7311yescharacteristic
1206C24C24×C7311yescharacteristic
1207C24C24×C7311yescharacteristic
1208C2×Q8—22no—
1209C2×Q8—22no—
1210C2×Q8—41no—
1211C2×D4—22no—
1212C2×D4—22no—
1213C2×D4—22no—
1214C2×D4—22no—
1215C2×D4—22no—
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—41no—
1227C2×D4—41no—
1228C2×D4—41no—
1229C2×D4—41no—
1230C2×D4—41no—
1231C2×D4#41×C7314yes—
1232C22×C4—232no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—22no—
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—22no—
1256C22×C4—22no—
1257C22×C4—22no—
1258C22×C4—22no—
1259C22×C4—22no—
1260C22×C4—22no—
1261C22×C4—22no—
1262C22×C4—22no—
1263C22×C4—22no—
1264C22×C4—22no—
1265C22×C4—22no—
1266C22×C4—41no—
1267C22×C4—41no—
1268C22×C4—41no—
1269C22×C4—41no—
1270C22×C4—41no—
1271C22×C4—41no—
1272C22×C4C2×D4×C7314yes—
1273C22×C4#41×C7314yes—
1274C22×C4#41×C7314yes—
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
1299C22×C4C24×C7311yescharacteristic
1300C22×C4C24×C7311yescharacteristic
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—22no—
1325C4⋊C4—41no—
1326C4⋊C4—41no—
1327C4⋊C4—41no—
1328C4⋊C4—41no—
1329C4⋊C4—41no—
1330C4⋊C4—41no—
1331C4⋊C4C2×D4×C7314yes—
1332C4⋊C4C2×D4×C7314yes—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
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—41no—
1367C22⋊C4—41no—
1368C22⋊C4—41no—
1369C22⋊C4—41no—
1370C22⋊C4—41no—
1371C22⋊C4—41no—
1372C22⋊C4—41no—
1373C22⋊C4—41no—
1374C22⋊C4C2×D4×C7314yes—
1375C22⋊C4C2×D4×C7314yes—
1376C22⋊C4#41×C7314yes—
1377C42—22no—
1378C42—22no—
1379C42—22no—
1380C42—22no—
1381C42—22no—
1382C42—22no—
1383C42—22no—
1384C42—22no—
1385C42—22no—
1386C42—22no—
1387C42—22no—
1388C42—22no—
1389C42—22no—
1390C42—22no—
1391C42—22no—
1392C42—22no—
1393C42—41no—
1394C42—41no—
1395C42C2×D4×C7314yes—
1396C42C2×D4×C7314yes—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—28no—
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—21no—
1426C23—21no—
1427C23—44no—
1428C23—44no—
1429C23—44no—
1430C23—44no—
1431C23—44no—
1432C23—44no—
1433C23C22×D4×C7312yes—
1434C23C2×#41×C7312yes—
1435C23C2×#41×C7312yes—
1436C23C2×#41×C7312yes—
1437C23C2×#41×C7312yes—
1438C23C2×#41×C7312yes—
1439C23C25×C7311yescharacteristic
1440Q8—44no—
1441D4—28no—
1442D4—44no—
1443D4—44no—
1444D4—44no—
1445D4—44no—
1446D4—44no—
1447D4—44no—
1448C2×C4—28no—
1449C2×C4—28no—
1450C2×C4—28no—
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—28no—
1472C2×C4—28no—
1473C2×C4—28no—
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—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—44no—
1520C2×C4—44no—
1521C2×C4—44no—
1522C2×C4—44no—
1523C2×C4—44no—
1524C2×C4—44no—
1525C2×C4—44no—
1526C2×C4—44no—
1527C2×C4C22×D4×C7312yes—
1528C2×C4C22×D4×C7312yes—
1529C2×C4C22×D4×C7312yes—
1530C2×C4C22×D4×C7312yes—
1531C2×C4C22×D4×C7312yes—
1532C2×C4C22×D4×C7312yes—
1533C2×C4C2×#41×C7312yes—
1534C2×C4C2×#41×C7312yes—
1535C2×C4C2×#41×C7312yes—
1536C2×C4C2×#41×C7312yes—
1537C2×C4C2×#41×C7312yes—
1538C2×C4C2×#41×C7312yes—
1539C2×C4C2×#41×C7312yes—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—22no—
1546C22—22no—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—22no—
1553C22—22no—
1554C22—22no—
1555C22—416no—
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—41no—
1573C22—41no—
1574C22—41no—
1575C22#529×C7314yescomplemented
1576C22C23×D4×C7311yescharacteristic
1577C22C22×#41×C7311yescharacteristic
1578C22C22×#41×C7311yescharacteristic
1579C22C22×#41×C7311yescharacteristic
1580C22C22×#41×C7311yescharacteristic
1581C22#585×C7311yescharacteristic
1582C22#585×C7311yescharacteristic
1583C4—22no—
1584C4—22no—
1585C4—22no—
1586C4—22no—
1587C4—22no—
1588C4—22no—
1589C4—22no—
1590C4—22no—
1591C4—22no—
1592C4—22no—
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—
1607C4—41no—
1608C4#525×C7314yes—
1609C2—24no—
1610C2—42no—
1611C2—42no—
1612C2—42no—
1613C2—81no—
1614C2C2×#525×C7311yescharacteristic
1615C2C2×#529×C7311yescharacteristic
1616C2C73×#345511yescharacteristic
1617C2D4×#41×C7311yescharacteristic
1618C2D4×#41×C7311yescharacteristic
1619C2C73×#347511yescharacteristic
1620C2C73×#347511yescharacteristic
subgroupG/H
centerC22×C4×C73C24
commutator, Frattini, cosocleC23C25×C73
socleC23×C73C25
prime radicalC73×#2424C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C22×C4×C73 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×#529×C73C2semidirect
2. C22×#117×C73C2semidirect
3. C73×#2481C2semidirect
4. C73×#2480C2semidirect
5. C73×#2479C2semidirect
6. C73×#2478C2semidirect
7. C73×#2477C2semidirect
8. C73×#2476C2semidirect
9. C73×#2475C2semidirect
10. C73×#2474C2semidirect
11. C73×#2473C2semidirect
12. C73×#2472C2semidirect
13. C73×#2471C2semidirect
14. C73×#2470C2semidirect
15. C73×#2449C2semidirect
16. C73×#2443C2semidirect
18. C73×#2418C2semidirect
19. C73×#2396C2semidirect
20. C73×#2395C2semidirect
21. C73×#2395C2semidirect
22. C73×#2392C2semidirect
23. C4×C22⋊Q8×C73C2semidirect
24. C4×#121×C73C2semidirect
25. C4×#120×C73C2semidirect
26. C4×#120×C73C2semidirect
27. C73×#2298C2semidirect
28. C73×#2293C2semidirect
29. C73×#2290C2semidirect
30. C73×#2290C2semidirect
31. C42×D4×C73C2semidirect
35. C2×#126×C73C22semidirect
36. C2×#125×C73C22semidirect
39. C2×#123×C73C22semidirect
41. C2×C22⋊Q8×C73C22semidirect
46. C2×C4×Q8×C73C22semidirect
55. C2×C4×D4×C73C22semidirect
65. C2×#117×C73C22semidirect
72. C22×C42×C73C22semidirect
73. #400×C73C22semidirect
74. #400×C73C22semidirect
75. #400×C73C22semidirect
77. #399×C73C22semidirect
78. #399×C73C22semidirect
79. #398×C73C22semidirect
80. #398×C73C22semidirect
81. #398×C73C22semidirect
82. #398×C73C22semidirect
83. #398×C73C22semidirect
89. #397×C73C22semidirect
90. #397×C73C22semidirect
93. #396×C73C22semidirect
94. #396×C73C22semidirect
95. #395×C73C22semidirect
102. #394×C73C22semidirect
105. #391×C73C22semidirect
108. #390×C73C22semidirect
109. #389×C73C22semidirect
110. #389×C73C22semidirect
111. #389×C73C22semidirect
112. #389×C73C22semidirect
121. #388×C73C22semidirect
122. #388×C73C22semidirect
123. #388×C73C22semidirect
124. #388×C73C22semidirect
125. #388×C73C22semidirect
126. #388×C73C22semidirect
127. #387×C73C22semidirect
128. #387×C73C22semidirect
129. #387×C73C22semidirect
130. #387×C73C22semidirect
131. #387×C73C22semidirect
132. #387×C73C22semidirect
133. #387×C73C22semidirect
134. #387×C73C22semidirect
135. #387×C73C22semidirect
136. #387×C73C22semidirect
159. #385×C73C22semidirect
160. #385×C73C22semidirect
165. C4×C4⋊C4×C73C22semidirect
166. C4×C4⋊C4×C73C22semidirect
167. C4×C4⋊C4×C73C22semidirect
168. C4×C4⋊C4×C73C22semidirect
169. C4×C4⋊C4×C73C22semidirect
170. C4×C4⋊C4×C73C22semidirect
171. C4×C4⋊C4×C73C22semidirect
172. C4×C4⋊C4×C73C22semidirect
181. C4×C22⋊C4×C73C22semidirect
182. C4×C22⋊C4×C73C22semidirect
183. C4×C22⋊C4×C73C22semidirect
184. C4×C22⋊C4×C73C22semidirect
185. C4×C22⋊C4×C73C22semidirect
186. C4×C22⋊C4×C73C22semidirect
187. #376×C73C22semidirect
188. C43×C73C22semidirect
245. #117×C73D4semidirect
764. C22×C73#529semidirect
798. #34740C73direct (N × H)
811. C2×#529C2×C73semidirect
812. C22×#117C2×C73semidirect
813. #2481C2×C73semidirect
814. #2480C2×C73semidirect
815. #2479C2×C73semidirect
816. #2478C2×C73semidirect
817. #2477C2×C73semidirect
818. #2476C2×C73semidirect
819. #2475C2×C73semidirect
820. #2474C2×C73semidirect
821. #2473C2×C73semidirect
822. #2472C2×C73semidirect
823. #2471C2×C73semidirect
824. #2470C2×C73semidirect
825. #2449C2×C73semidirect
826. #2443C2×C73semidirect
828. #2418C2×C73semidirect
829. #2396C2×C73semidirect
830. #2395C2×C73semidirect
831. #2395C2×C73semidirect
832. #2392C2×C73semidirect
833. C4×C22⋊Q8C2×C73semidirect
834. C4×#121C2×C73semidirect
835. C4×#120C2×C73semidirect
836. C4×#120C2×C73semidirect
837. #2298C2×C73semidirect
838. #2293C2×C73semidirect
839. #2290C2×C73semidirect
840. #2290C2×C73semidirect
841. C42×D4C2×C73semidirect
842. C73#34740direct (N × H)
846. C2×#126C22×C73semidirect
847. C2×#125C22×C73semidirect
850. C2×#123C22×C73semidirect
852. C2×C22⋊Q8C22×C73semidirect
857. C2×C4×Q8C22×C73semidirect
866. C2×C4×D4C22×C73semidirect
876. C2×#117C22×C73semidirect
883. C22×C42C22×C73semidirect
884. #400C22×C73semidirect
885. #400C22×C73semidirect
886. #400C22×C73semidirect
888. #399C22×C73semidirect
889. #399C22×C73semidirect
890. #398C22×C73semidirect
891. #398C22×C73semidirect
892. #398C22×C73semidirect
893. #398C22×C73semidirect
894. #398C22×C73semidirect
900. #397C22×C73semidirect
901. #397C22×C73semidirect
904. #396C22×C73semidirect
905. #396C22×C73semidirect
906. #395C22×C73semidirect
913. #394C22×C73semidirect
916. #391C22×C73semidirect
919. #390C22×C73semidirect
920. #389C22×C73semidirect
921. #389C22×C73semidirect
922. #389C22×C73semidirect
923. #389C22×C73semidirect
932. #388C22×C73semidirect
933. #388C22×C73semidirect
934. #388C22×C73semidirect
935. #388C22×C73semidirect
936. #388C22×C73semidirect
937. #388C22×C73semidirect
938. #387C22×C73semidirect
939. #387C22×C73semidirect
940. #387C22×C73semidirect
941. #387C22×C73semidirect
942. #387C22×C73semidirect
943. #387C22×C73semidirect
944. #387C22×C73semidirect
945. #387C22×C73semidirect
946. #387C22×C73semidirect
947. #387C22×C73semidirect
970. #385C22×C73semidirect
971. #385C22×C73semidirect
976. C4×C4⋊C4C22×C73semidirect
977. C4×C4⋊C4C22×C73semidirect
978. C4×C4⋊C4C22×C73semidirect
979. C4×C4⋊C4C22×C73semidirect
980. C4×C4⋊C4C22×C73semidirect
981. C4×C4⋊C4C22×C73semidirect
982. C4×C4⋊C4C22×C73semidirect
983. C4×C4⋊C4C22×C73semidirect
992. C4×C22⋊C4C22×C73semidirect
993. C4×C22⋊C4C22×C73semidirect
994. C4×C22⋊C4C22×C73semidirect
995. C4×C22⋊C4C22×C73semidirect
996. C4×C22⋊C4C22×C73semidirect
997. C4×C22⋊C4C22×C73semidirect
998. #376C22×C73semidirect
999. C43C22×C73semidirect
1056. #117D4×C73semidirect
1575. C22#529×C73semidirect

Maximal subgroups

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

subgroupindex
C2×#529×C732
C22×#117×C732
C73×#24812
C73×#24802
C73×#24792
C73×#24782
C73×#24772
C73×#24762
C73×#24752
C73×#24742
C73×#24732
C73×#24722
C73×#24712
C73×#24702
C73×#24492
C73×#24432
C73×#24242
C73×#24182
C73×#23962
C73×#23952
C73×#23922
C4×C22⋊Q8×C732
C4×#121×C732
C4×#120×C732
C73×#22982
C73×#22932
C73×#22902
C42×D4×C732
#3474073