Finite Group Databasebeta

← C73×#34732 #32944136

Subgroups — C73×#34732 #32944136

Order 18688.

2938 conjugacy classes of subgroups.

The subgroup lattice has 1714 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#525×C73C211yesmaximal, characteristic, complemented
2C2×C4×#41×C73C211yesmaximal, characteristic, complemented
3C73×#2477C211yesmaximal, characteristic, complemented
4C73×#2476C211yesmaximal, characteristic, complemented
5C73×#2471C211yesmaximal, characteristic, complemented
6C73×#2470C211yesmaximal, characteristic, complemented
7C73×#2465C211yesmaximal, characteristic, complemented
8C73×#2464C211yesmaximal, characteristic, complemented
9C73×#2458C211yesmaximal, characteristic, complemented
10C73×#2457C211yesmaximal, characteristic, complemented
11C73×#2450C211yesmaximal, characteristic, complemented
12C73×#2444C211yesmaximal, characteristic, complemented
13C73×#2438C211yesmaximal, characteristic, complemented
14C73×#2430C211yesmaximal, characteristic, complemented
15C73×#2424C211yesmaximal, characteristic, complemented
16C73×#2418C211yesmaximal, characteristic, complemented
17C73×#2411C211yesmaximal, characteristic, complemented
18C73×#2404C211yesmaximal, characteristic, complemented
19C73×#2398C211yesmaximal, characteristic, complemented
20C73×#2396C211yesmaximal, characteristic, complemented
21C73×#2392C211yesmaximal, characteristic, complemented
22C73×#2388C211yesmaximal, characteristic, complemented
23C4×#123×C73C211yesmaximal, characteristic, complemented
24C4×#123×C73C211yesmaximal, characteristic, complemented
25C4×#121×C73C211yesmaximal, characteristic, complemented
26C4×#121×C73C211yesmaximal, characteristic, complemented
27C4×#120×C73C211yesmaximal, characteristic, complemented
28C73×#2297C211yesmaximal, characteristic, complemented
29C73×#2290C211yesmaximal, characteristic, complemented
30C73×#2290C211yesmaximal, characteristic, complemented
31C2×C4×C22⋊C4×C73C211yesmaximal, characteristic, complemented
32C22×#41×C73C2211yescharacteristic
33C22×#41×C73C2211yescharacteristic
34C24×C4×C73C2211yescharacteristic
35#525×C73—28no—
36C2×#123×C73C2211yescharacteristic
37C2×#123×C73C2211yescharacteristic
38C2×#123×C73C2211yescharacteristic
39C2×#123×C73C2211yescharacteristic
40C2×C22⋊Q8×C73C2211yescharacteristic
41C2×C22⋊Q8×C73C2211yescharacteristic
42C2×#121×C73C2211yescharacteristic
43C2×#121×C73C2211yescharacteristic
44C2×#121×C73C2211yescharacteristic
45C2×#121×C73C2211yescharacteristic
46C2×#120×C73C2211yescharacteristic
47C2×#120×C73C2211yescharacteristic
48C2×#120×C73C2211yescharacteristic
49C4×#41×C73—28no—
50C2×C4×Q8×C73C2211yescharacteristic, complemented
51C2×C4×Q8×C73C2211yescharacteristic, complemented
52C2×C4×D4×C73C2211yescharacteristic
53C2×C4×D4×C73C2211yescharacteristic
54C2×C4×D4×C73C2211yescharacteristic
55C2×C4×D4×C73C2211yescharacteristic
56C2×C4×D4×C73C2211yescharacteristic
57C2×C4×D4×C73C2211yescharacteristic
58C2×C4×D4×C73C2211yescharacteristic
59C2×C4×D4×C73C2211yescharacteristic
60C2×C4×D4×C73C2211yescharacteristic
61C2×C4×D4×C73C2211yescharacteristic, complemented
62C2×C4×D4×C73C2211yescharacteristic, complemented
63C2×C4×D4×C73C2211yescharacteristic, complemented
64C2×#117×C73C2211yescharacteristic
65C2×#117×C73C2211yescharacteristic
66C2×#117×C73C2211yescharacteristic, complemented
67C2×#117×C73C2211yescharacteristic, complemented
68C2×#117×C73C2211yescharacteristic, complemented
69C22×C22⋊C4×C73C2211yescharacteristic
70C22×C22⋊C4×C73C2211yescharacteristic
71C22×C42×C73C2211yescharacteristic
72C22×C42×C73C2211yescharacteristic
73C22×C42×C73C2211yescharacteristic, complemented
74C22×C42×C73C2211yescharacteristic, complemented
75#400×C73C2211yescharacteristic, complemented
76#400×C73C2211yescharacteristic, complemented
77#400×C73C2211yescharacteristic, complemented
78#399×C73C2211yescharacteristic
79#398×C73C2211yescharacteristic, complemented
80#398×C73C2211yescharacteristic, complemented
81#398×C73C2211yescharacteristic, complemented
82#397×C73C2211yescharacteristic
83#397×C73C2211yescharacteristic, complemented
84#397×C73C2211yescharacteristic, complemented
85#396×C73C2211yescharacteristic
86#396×C73C2211yescharacteristic
87#396×C73C2211yescharacteristic
88#396×C73C2211yescharacteristic, complemented
89#395×C73C2211yescharacteristic, complemented
90#395×C73C2211yescharacteristic, complemented
91#394×C73C2211yescharacteristic
92#394×C73C2211yescharacteristic
93#394×C73C2211yescharacteristic
94#394×C73C2211yescharacteristic
95#394×C73C2211yescharacteristic
96#394×C73C2211yescharacteristic
97#394×C73C2211yescharacteristic, complemented
98#394×C73C2211yescharacteristic, complemented
99#393×C73C2211yescharacteristic
100#393×C73C2211yescharacteristic
101#393×C73C2211yescharacteristic, complemented
102#393×C73C2211yescharacteristic, complemented
103#392×C73C2211yescharacteristic
104#392×C73C2211yescharacteristic
105#392×C73C2211yescharacteristic
106#392×C73C2211yescharacteristic, complemented
107#391×C73C2211yescharacteristic, complemented
108#391×C73C2211yescharacteristic, complemented
109#390×C73C2211yescharacteristic
110#390×C73C2211yescharacteristic
111#390×C73C2211yescharacteristic
112#390×C73C2211yescharacteristic, complemented
113#389×C73C2211yescharacteristic, complemented
114#389×C73C2211yescharacteristic, complemented
115#388×C73C2211yescharacteristic
116#388×C73C2211yescharacteristic
117#388×C73C2211yescharacteristic
118#388×C73C2211yescharacteristic
119#388×C73C2211yescharacteristic
120#388×C73C2211yescharacteristic, complemented
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#386×C73C2211yescharacteristic
136#386×C73C2211yescharacteristic
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#386×C73C2211yescharacteristic, complemented
150#386×C73C2211yescharacteristic, complemented
151#386×C73C2211yescharacteristic, complemented
152#385×C73C2211yescharacteristic
153#385×C73C2211yescharacteristic
154#385×C73C2211yescharacteristic
155#385×C73C2211yescharacteristic
156#385×C73C2211yescharacteristic
157#385×C73C2211yescharacteristic
158#385×C73C2211yescharacteristic, complemented
159#385×C73C2211yescharacteristic, complemented
160#385×C73C2211yescharacteristic, complemented
161#381×C73C2211yescharacteristic
162#381×C73C2211yescharacteristic, complemented
163#380×C73C2211yescharacteristic
164#380×C73C2211yescharacteristic, complemented
165#379×C73C2211yescharacteristic
166C4×C4⋊C4×C73C2211yescharacteristic, complemented
167C4×C4⋊C4×C73C2211yescharacteristic, complemented
168C4×C4⋊C4×C73C2211yescharacteristic, complemented
169C4×C4⋊C4×C73C2211yescharacteristic, complemented
170C4×C22⋊C4×C73C2211yescharacteristic
171C4×C22⋊C4×C73C2211yescharacteristic
172C4×C22⋊C4×C73C2211yescharacteristic
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
186#376×C73C2211yescharacteristic, complemented
187C2×#95×C73C2211yescharacteristic
188C2×#95×C73C2211yescharacteristic
189C25×C73C2311yescharacteristic
190C2×#41×C73—24no—
191C2×#41×C73—24no—
192C2×#41×C73—24no—
193C2×#41×C73—24no—
194C2×#41×C73—24no—
195C2×#41×C73—42no—
196C22×Q8×C73C2311yescharacteristic
197C22×Q8×C73C2311yescharacteristic
198C22×D4×C73C2311yescharacteristic
199C22×D4×C73C2311yescharacteristic
200C22×D4×C73C2311yescharacteristic
201C22×D4×C73C2311yescharacteristic
202C22×D4×C73C2311yescharacteristic
203C22×D4×C73C2311yescharacteristic
204C22×D4×C73C2311yescharacteristic
205C22×D4×C73C2311yescharacteristic
206C22×D4×C73C2311yescharacteristic
207C22×D4×C73C2311yescharacteristic
208C22×D4×C73C2311yescharacteristic
209C22×D4×C73C2311yescharacteristic
210C23×C4×C73—24no—
211C23×C4×C73—24no—
212C23×C4×C73—42no—
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
228C23×C4×C73C2311yescharacteristic
229C23×C4×C73C2311yescharacteristic
230#123×C73—24no—
231#123×C73—24no—
232#123×C73—24no—
233#123×C73—24no—
234C22⋊Q8×C73—24no—
235C22⋊Q8×C73—24no—
236#121×C73—24no—
237#121×C73—24no—
238#121×C73—24no—
239#121×C73—24no—
240#120×C73—24no—
241#120×C73—24no—
242#120×C73—24no—
243C4×Q8×C73—24no—
244C4×Q8×C73—24no—
245C4×D4×C73—24no—
246C4×D4×C73—24no—
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—42no—
255C4×D4×C73—42no—
256C4×D4×C73D418yescomplemented
257#117×C73—24no—
258#117×C73—24no—
259#117×C73—24no—
260#117×C73—24no—
261#117×C73—42no—
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×C22⋊C4×C73—24no—
287C2×C22⋊C4×C73—24no—
288C2×C22⋊C4×C73C2311yescharacteristic
289C2×C22⋊C4×C73C2311yescharacteristic
290C2×C22⋊C4×C73C2311yescharacteristic
291C2×C22⋊C4×C73C2311yescharacteristic
292C2×C22⋊C4×C73C2311yescharacteristic
293C2×C22⋊C4×C73C2311yescharacteristic
294C2×C22⋊C4×C73C2311yescharacteristic
295C2×C22⋊C4×C73C2311yescharacteristic
296C2×C22⋊C4×C73C2311yescharacteristic
297C2×C22⋊C4×C73C2311yescharacteristic
298C2×C22⋊C4×C73C2311yescharacteristic
299C2×C22⋊C4×C73C2311yescharacteristic
300C2×C22⋊C4×C73C2311yescharacteristic
301C2×C22⋊C4×C73C2311yescharacteristic
302C2×C22⋊C4×C73C2311yescharacteristic
303C2×C22⋊C4×C73C2311yescharacteristic
304C2×C22⋊C4×C73C2311yescharacteristic
305C2×C22⋊C4×C73C2311yescharacteristic
306C2×C22⋊C4×C73C2311yescharacteristic
307C2×C22⋊C4×C73C2311yescharacteristic
308C2×C22⋊C4×C73C2311yescharacteristic
309C2×C22⋊C4×C73C2311yescharacteristic
310C2×C22⋊C4×C73C2311yescharacteristic
311C2×C22⋊C4×C73C2311yescharacteristic
312C2×C22⋊C4×C73C2311yescharacteristic
313C2×C22⋊C4×C73C2311yescharacteristic
314C2×C22⋊C4×C73C2311yescharacteristic
315C2×C22⋊C4×C73C2311yescharacteristic
316C2×C22⋊C4×C73C2311yescharacteristic
317C2×C22⋊C4×C73C2311yescharacteristic
318C2×C22⋊C4×C73C2311yescharacteristic
319C2×C22⋊C4×C73C2311yescharacteristic
320C2×C22⋊C4×C73C2311yescharacteristic
321C2×C22⋊C4×C73C2311yescharacteristic
322C2×C22⋊C4×C73C2311yescharacteristic
323C2×C22⋊C4×C73C2311yescharacteristic
324C2×C22⋊C4×C73C2311yescharacteristic
325C2×C22⋊C4×C73C2311yescharacteristic
326C2×C22⋊C4×C73C2311yescharacteristic
327C2×C22⋊C4×C73C2311yescharacteristic
328C2×C22⋊C4×C73C2311yescharacteristic
329C2×C22⋊C4×C73C2311yescharacteristic
330C2×C22⋊C4×C73C2311yescharacteristic
331C2×C22⋊C4×C73C2311yescharacteristic
332C2×C22⋊C4×C73C2311yescharacteristic
333C2×C22⋊C4×C73C2311yescharacteristic
334C2×C42×C73—24no—
335C2×C42×C73—24no—
336C2×C42×C73—24no—
337C2×C42×C73—42no—
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
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—41no—
397C24×C73—41no—
398C24×C73C2411yescharacteristic
399C24×C73C2411yescharacteristic
400C24×C73C2411yescharacteristic
401C24×C73C2411yescharacteristic
402C24×C73C2411yescharacteristic
403C24×C73C2411yescharacteristic
404#41×C73—232no—
405#41×C73—416no—
406C2×Q8×C73—22no—
407C2×Q8×C73—22no—
408C2×Q8×C73—22no—
409C2×Q8×C73—22no—
410C2×Q8×C73—22no—
411C2×Q8×C73—41no—
412C2×D4×C73—22no—
413C2×D4×C73—22no—
414C2×D4×C73—22no—
415C2×D4×C73—22no—
416C2×D4×C73—22no—
417C2×D4×C73—22no—
418C2×D4×C73—22no—
419C2×D4×C73—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—22no—
435C2×D4×C73—22no—
436C2×D4×C73—22no—
437C2×D4×C73—22no—
438C2×D4×C73—41no—
439C2×D4×C73—41no—
440C2×D4×C73—41no—
441C2×D4×C73—41no—
442C2×D4×C73—41no—
443C2×D4×C73—41no—
444C2×D4×C73—41no—
445C2×D4×C73—41no—
446C2×D4×C73C2×D414yes—
447C2×D4×C73#4114yescomplemented
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—22no—
472C22×C4×C73—22no—
473C22×C4×C73—22no—
474C22×C4×C73—22no—
475C22×C4×C73—22no—
476C22×C4×C73—22no—
477C22×C4×C73—22no—
478C22×C4×C73—22no—
479C22×C4×C73—22no—
480C22×C4×C73—22no—
481C22×C4×C73—22no—
482C22×C4×C73—22no—
483C22×C4×C73—22no—
484C22×C4×C73—22no—
485C22×C4×C73—22no—
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—41no—
495C22×C4×C73—416no—
496C22×C4×C73C2×D414yes—
497C22×C4×C73C2×D414yes—
498C22×C4×C73#4114yescomplemented
499C22×C4×C73#4114yescomplemented
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
523C22×C4×C73C2411yescharacteristic
524C22×C4×C73C2411yescharacteristic
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—41no—
543C4⋊C4×C73—41no—
544C4⋊C4×C73—41no—
545C4⋊C4×C73—41no—
546C4⋊C4×C73—41no—
547C4⋊C4×C73—41no—
548C4⋊C4×C73C2×D414yes—
549C22⋊C4×C73—22no—
550C22⋊C4×C73—22no—
551C22⋊C4×C73—22no—
552C22⋊C4×C73—22no—
553C22⋊C4×C73—22no—
554C22⋊C4×C73—22no—
555C22⋊C4×C73—22no—
556C22⋊C4×C73—22no—
557C22⋊C4×C73—22no—
558C22⋊C4×C73—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—41no—
582C22⋊C4×C73—41no—
583C22⋊C4×C73—41no—
584C22⋊C4×C73—41no—
585C22⋊C4×C73—41no—
586C22⋊C4×C73—41no—
587C22⋊C4×C73—41no—
588C22⋊C4×C73—41no—
589C22⋊C4×C73—41no—
590C22⋊C4×C73—41no—
591C22⋊C4×C73—41no—
592C22⋊C4×C73C2×D414yes—
593C22⋊C4×C73C2×D414yes—
594C22⋊C4×C73#4114yescomplemented
595C42×C73—22no—
596C42×C73—22no—
597C42×C73—22no—
598C42×C73—22no—
599C42×C73—22no—
600C42×C73—22no—
601C42×C73—22no—
602C42×C73—22no—
603C42×C73—22no—
604C42×C73—22no—
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—28no—
617C23×C73—21no—
618C23×C73—21no—
619C23×C73—21no—
620C23×C73—21no—
621C23×C73—21no—
622C23×C73—21no—
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×C73C22×D412yes—
655C23×C73C22×D412yes—
656C23×C73C2×#4112yes—
657C23×C73C2×#4112yes—
658C23×C73C2×#4112yes—
659C23×C73C2×#4112yes—
660C23×C73C2×#4112yes—
661C23×C73C2511yescharacteristic
662Q8×C73—28no—
663Q8×C73—44no—
664D4×C73—28no—
665D4×C73—28no—
666D4×C73—28no—
667D4×C73—44no—
668D4×C73—44no—
669D4×C73—44no—
670D4×C73—44no—
671D4×C73—44no—
672D4×C73—44no—
673D4×C73—44no—
674D4×C73—44no—
675D4×C73—44no—
676C2×C4×C73—28no—
677C2×C4×C73—28no—
678C2×C4×C73—28no—
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—28no—
700C2×C4×C73—28no—
701C2×C4×C73—28no—
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—44no—
745C2×C4×C73—44no—
746C2×C4×C73—44no—
747C2×C4×C73—44no—
748C2×C4×C73—44no—
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×C73C22×D412yes—
756C2×C4×C73C22×D412yes—
757C2×C4×C73C22×D412yes—
758C2×C4×C73C22×D412yes—
759C2×C4×C73C22×D412yes—
760C2×C4×C73C2×#4112yes—
761C2×C4×C73C2×#4112yes—
762C2×C4×C73C2×#4112yes—
763C2×C4×C73C2×#4112yes—
764C2×C4×C73C2×#4112yes—
765C2×C4×C73C2×#4112yes—
766C2×C4×C73C2×#4112yes—
767C2×C4×C73H(5,𝔽2)12yes—
768C22×C73—22no—
769C22×C73—22no—
770C22×C73—22no—
771C22×C73—22no—
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—416no—
787C22×C73—41no—
788C22×C73—41no—
789C22×C73—41no—
790C22×C73—41no—
791C22×C73—41no—
792C22×C73—41no—
793C22×C73—41no—
794C22×C73—41no—
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#52514yes—
811C22×C73C23×D411yescharacteristic
812C22×C73C22×#4111yescharacteristic
813C22×C73C22×#4111yescharacteristic
814C22×C73C22×#4111yescharacteristic
815C22×C73C22×#4111yescharacteristic
816C22×C73C2×H(5,𝔽2)11yescharacteristic
817C22×C73#58511yescharacteristic
818C4×C73—22no—
819C4×C73—22no—
820C4×C73—22no—
821C4×C73—22no—
822C4×C73—22no—
823C4×C73—22no—
824C4×C73—22no—
825C4×C73—22no—
826C4×C73—22no—
827C4×C73—22no—
828C4×C73—41no—
829C4×C73—41no—
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#54614yes—
843#34732C7311yesmaximal, characteristic, direct product factor, Sylow
844C2×C73—24no—
845C2×C73—42no—
846C2×C73—42no—
847C2×C73—42no—
848C2×C73—42no—
849C2×C73—81no—
850C2×C73C2×#52511yescharacteristic
851C2×C73#344411yescharacteristic
852C2×C73#346011yescharacteristic
853C2×C73C2×#54611yescharacteristic
854C2×C73D4×#4111yescharacteristic
855C2×C73#347511yescharacteristic
856C2×C73#348111yescharacteristic
857C2×#525C2×C7311yescharacteristic, complemented
858C2×C4×#41C2×C7311yescharacteristic, complemented
859#2477C2×C7311yescharacteristic, complemented
860#2476C2×C7311yescharacteristic, complemented
861#2471C2×C7311yescharacteristic, complemented
862#2470C2×C7311yescharacteristic, complemented
863#2465C2×C7311yescharacteristic, complemented
864#2464C2×C7311yescharacteristic, complemented
865#2458C2×C7311yescharacteristic, complemented
866#2457C2×C7311yescharacteristic, complemented
867#2450C2×C7311yescharacteristic, complemented
868#2444C2×C7311yescharacteristic, complemented
869#2438C2×C7311yescharacteristic, complemented
870#2430C2×C7311yescharacteristic, complemented
871#2424C2×C7311yescharacteristic, complemented
872#2418C2×C7311yescharacteristic, complemented
873#2411C2×C7311yescharacteristic, complemented
874#2404C2×C7311yescharacteristic, complemented
875#2398C2×C7311yescharacteristic, complemented
876#2396C2×C7311yescharacteristic, complemented
877#2392C2×C7311yescharacteristic, complemented
878#2388C2×C7311yescharacteristic, complemented
879C4×#123C2×C7311yescharacteristic, complemented
880C4×#123C2×C7311yescharacteristic, complemented
881C4×#121C2×C7311yescharacteristic, complemented
882C4×#121C2×C7311yescharacteristic, complemented
883C4×#120C2×C7311yescharacteristic, complemented
884#2297C2×C7311yescharacteristic, complemented
885#2290C2×C7311yescharacteristic, complemented
886#2290C2×C7311yescharacteristic, complemented
887C2×C4×C22⋊C4C2×C7311yescharacteristic, complemented
888C73#3473211yescharacteristic, direct product factor, Sylow
889C22×#41C22×C7311yescharacteristic
890C22×#41C22×C7311yescharacteristic
891C24×C4C22×C7311yescharacteristic
892#525—28no—
893C2×#123C22×C7311yescharacteristic
894C2×#123C22×C7311yescharacteristic
895C2×#123C22×C7311yescharacteristic
896C2×#123C22×C7311yescharacteristic
897C2×C22⋊Q8C22×C7311yescharacteristic
898C2×C22⋊Q8C22×C7311yescharacteristic
899C2×#121C22×C7311yescharacteristic
900C2×#121C22×C7311yescharacteristic
901C2×#121C22×C7311yescharacteristic
902C2×#121C22×C7311yescharacteristic
903C2×#120C22×C7311yescharacteristic
904C2×#120C22×C7311yescharacteristic
905C2×#120C22×C7311yescharacteristic
906C4×#41—28no—
907C2×C4×Q8C22×C7311yescharacteristic, complemented
908C2×C4×Q8C22×C7311yescharacteristic, complemented
909C2×C4×D4C22×C7311yescharacteristic
910C2×C4×D4C22×C7311yescharacteristic
911C2×C4×D4C22×C7311yescharacteristic
912C2×C4×D4C22×C7311yescharacteristic
913C2×C4×D4C22×C7311yescharacteristic
914C2×C4×D4C22×C7311yescharacteristic
915C2×C4×D4C22×C7311yescharacteristic
916C2×C4×D4C22×C7311yescharacteristic
917C2×C4×D4C22×C7311yescharacteristic
918C2×C4×D4C22×C7311yescharacteristic, complemented
919C2×C4×D4C22×C7311yescharacteristic, complemented
920C2×C4×D4C22×C7311yescharacteristic, complemented
921C2×#117C22×C7311yescharacteristic
922C2×#117C22×C7311yescharacteristic
923C2×#117C22×C7311yescharacteristic, complemented
924C2×#117C22×C7311yescharacteristic, complemented
925C2×#117C22×C7311yescharacteristic, complemented
926C22×C22⋊C4C22×C7311yescharacteristic
927C22×C22⋊C4C22×C7311yescharacteristic
928C22×C42C22×C7311yescharacteristic
929C22×C42C22×C7311yescharacteristic
930C22×C42C22×C7311yescharacteristic, complemented
931C22×C42C22×C7311yescharacteristic, complemented
932#400C22×C7311yescharacteristic, complemented
933#400C22×C7311yescharacteristic, complemented
934#400C22×C7311yescharacteristic, complemented
935#399C22×C7311yescharacteristic
936#398C22×C7311yescharacteristic, complemented
937#398C22×C7311yescharacteristic, complemented
938#398C22×C7311yescharacteristic, complemented
939#397C22×C7311yescharacteristic
940#397C22×C7311yescharacteristic, complemented
941#397C22×C7311yescharacteristic, complemented
942#396C22×C7311yescharacteristic
943#396C22×C7311yescharacteristic
944#396C22×C7311yescharacteristic
945#396C22×C7311yescharacteristic, complemented
946#395C22×C7311yescharacteristic, complemented
947#395C22×C7311yescharacteristic, complemented
948#394C22×C7311yescharacteristic
949#394C22×C7311yescharacteristic
950#394C22×C7311yescharacteristic
951#394C22×C7311yescharacteristic
952#394C22×C7311yescharacteristic
953#394C22×C7311yescharacteristic
954#394C22×C7311yescharacteristic, complemented
955#394C22×C7311yescharacteristic, complemented
956#393C22×C7311yescharacteristic
957#393C22×C7311yescharacteristic
958#393C22×C7311yescharacteristic, complemented
959#393C22×C7311yescharacteristic, complemented
960#392C22×C7311yescharacteristic
961#392C22×C7311yescharacteristic
962#392C22×C7311yescharacteristic
963#392C22×C7311yescharacteristic, complemented
964#391C22×C7311yescharacteristic, complemented
965#391C22×C7311yescharacteristic, complemented
966#390C22×C7311yescharacteristic
967#390C22×C7311yescharacteristic
968#390C22×C7311yescharacteristic
969#390C22×C7311yescharacteristic, complemented
970#389C22×C7311yescharacteristic, complemented
971#389C22×C7311yescharacteristic, complemented
972#388C22×C7311yescharacteristic
973#388C22×C7311yescharacteristic
974#388C22×C7311yescharacteristic
975#388C22×C7311yescharacteristic
976#388C22×C7311yescharacteristic
977#388C22×C7311yescharacteristic, complemented
978#388C22×C7311yescharacteristic, complemented
979#388C22×C7311yescharacteristic, complemented
980#388C22×C7311yescharacteristic, complemented
981#388C22×C7311yescharacteristic, complemented
982#388C22×C7311yescharacteristic, complemented
983#388C22×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#387C22×C7311yescharacteristic, complemented
992#386C22×C7311yescharacteristic
993#386C22×C7311yescharacteristic
994#386C22×C7311yescharacteristic
995#386C22×C7311yescharacteristic
996#386C22×C7311yescharacteristic
997#386C22×C7311yescharacteristic
998#386C22×C7311yescharacteristic
999#386C22×C7311yescharacteristic
1000#386C22×C7311yescharacteristic
1001#386C22×C7311yescharacteristic
1002#386C22×C7311yescharacteristic
1003#386C22×C7311yescharacteristic
1004#386C22×C7311yescharacteristic
1005#386C22×C7311yescharacteristic
1006#386C22×C7311yescharacteristic, complemented
1007#386C22×C7311yescharacteristic, complemented
1008#386C22×C7311yescharacteristic, complemented
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#381C22×C7311yescharacteristic
1019#381C22×C7311yescharacteristic, complemented
1020#380C22×C7311yescharacteristic
1021#380C22×C7311yescharacteristic, complemented
1022#379C22×C7311yescharacteristic
1023C4×C4⋊C4C22×C7311yescharacteristic, complemented
1024C4×C4⋊C4C22×C7311yescharacteristic, complemented
1025C4×C4⋊C4C22×C7311yescharacteristic, complemented
1026C4×C4⋊C4C22×C7311yescharacteristic, complemented
1027C4×C22⋊C4C22×C7311yescharacteristic
1028C4×C22⋊C4C22×C7311yescharacteristic
1029C4×C22⋊C4C22×C7311yescharacteristic
1030C4×C22⋊C4C22×C7311yescharacteristic
1031C4×C22⋊C4C22×C7311yescharacteristic
1032C4×C22⋊C4C22×C7311yescharacteristic
1033C4×C22⋊C4C22×C7311yescharacteristic
1034C4×C22⋊C4C22×C7311yescharacteristic
1035C4×C22⋊C4C22×C7311yescharacteristic
1036C4×C22⋊C4C22×C7311yescharacteristic
1037C4×C22⋊C4C22×C7311yescharacteristic
1038C4×C22⋊C4C22×C7311yescharacteristic, complemented
1039C4×C22⋊C4C22×C7311yescharacteristic, complemented
1040C4×C22⋊C4C22×C7311yescharacteristic, complemented
1041C4×C22⋊C4C22×C7311yescharacteristic, complemented
1042C4×C22⋊C4C22×C7311yescharacteristic, complemented
1043#376C22×C7311yescharacteristic, complemented
1044C2×#95C22×C7311yescharacteristic
1045C2×#95C22×C7311yescharacteristic
1046C25C23×C7311yescharacteristic
1047C2×#41—24no—
1048C2×#41—24no—
1049C2×#41—24no—
1050C2×#41—24no—
1051C2×#41—24no—
1052C2×#41—42no—
1053C22×Q8C23×C7311yescharacteristic
1054C22×Q8C23×C7311yescharacteristic
1055C22×D4C23×C7311yescharacteristic
1056C22×D4C23×C7311yescharacteristic
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
1066C22×D4C23×C7311yescharacteristic
1067C23×C4—24no—
1068C23×C4—24no—
1069C23×C4—42no—
1070C23×C4C23×C7311yescharacteristic
1071C23×C4C23×C7311yescharacteristic
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
1087#123—24no—
1088#123—24no—
1089#123—24no—
1090#123—24no—
1091C22⋊Q8—24no—
1092C22⋊Q8—24no—
1093#121—24no—
1094#121—24no—
1095#121—24no—
1096#121—24no—
1097#120—24no—
1098#120—24no—
1099#120—24no—
1100C4×Q8—24no—
1101C4×Q8—24no—
1102C4×D4—24no—
1103C4×D4—24no—
1104C4×D4—24no—
1105C4×D4—24no—
1106C4×D4—24no—
1107C4×D4—24no—
1108C4×D4—24no—
1109C4×D4—24no—
1110C4×D4—24no—
1111C4×D4—42no—
1112C4×D4—42no—
1113C4×D4D4×C7318yescomplemented
1114#117—24no—
1115#117—24no—
1116#117—24no—
1117#117—24no—
1118#117—42no—
1119C2×C4⋊C4C23×C7311yescharacteristic
1120C2×C4⋊C4C23×C7311yescharacteristic
1121C2×C4⋊C4C23×C7311yescharacteristic
1122C2×C4⋊C4C23×C7311yescharacteristic
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×C22⋊C4—24no—
1144C2×C22⋊C4—24no—
1145C2×C22⋊C4C23×C7311yescharacteristic
1146C2×C22⋊C4C23×C7311yescharacteristic
1147C2×C22⋊C4C23×C7311yescharacteristic
1148C2×C22⋊C4C23×C7311yescharacteristic
1149C2×C22⋊C4C23×C7311yescharacteristic
1150C2×C22⋊C4C23×C7311yescharacteristic
1151C2×C22⋊C4C23×C7311yescharacteristic
1152C2×C22⋊C4C23×C7311yescharacteristic
1153C2×C22⋊C4C23×C7311yescharacteristic
1154C2×C22⋊C4C23×C7311yescharacteristic
1155C2×C22⋊C4C23×C7311yescharacteristic
1156C2×C22⋊C4C23×C7311yescharacteristic
1157C2×C22⋊C4C23×C7311yescharacteristic
1158C2×C22⋊C4C23×C7311yescharacteristic
1159C2×C22⋊C4C23×C7311yescharacteristic
1160C2×C22⋊C4C23×C7311yescharacteristic
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×C42—24no—
1192C2×C42—24no—
1193C2×C42—24no—
1194C2×C42—42no—
1195C2×C42C23×C7311yescharacteristic
1196C2×C42C23×C7311yescharacteristic
1197C2×C42C23×C7311yescharacteristic
1198C2×C42C23×C7311yescharacteristic
1199C2×C42C23×C7311yescharacteristic
1200C2×C42C23×C7311yescharacteristic
1201C2×C42C23×C7311yescharacteristic
1202C2×C42C23×C7311yescharacteristic
1203C2×C42C23×C7311yescharacteristic
1204C2×C42C23×C7311yescharacteristic
1205C2×C42C23×C7311yescharacteristic
1206C2×C42C23×C7311yescharacteristic
1207C2×C42C23×C7311yescharacteristic
1208C2×C42C23×C7311yescharacteristic
1209C2×C42C23×C7311yescharacteristic
1210C2×C42C23×C7311yescharacteristic
1211C2×C42C23×C7311yescharacteristic
1212#95C23×C7311yescharacteristic
1213#95C23×C7311yescharacteristic
1214#95C23×C7311yescharacteristic
1215#95C23×C7311yescharacteristic
1216#95C23×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
1248C24—22no—
1249C24—22no—
1250C24—22no—
1251C24—22no—
1252C24—22no—
1253C24—41no—
1254C24—41no—
1255C24C24×C7311yescharacteristic
1256C24C24×C7311yescharacteristic
1257C24C24×C7311yescharacteristic
1258C24C24×C7311yescharacteristic
1259C24C24×C7311yescharacteristic
1260C24C24×C7311yescharacteristic
1261#41—232no—
1262#41—416no—
1263C2×Q8—22no—
1264C2×Q8—22no—
1265C2×Q8—22no—
1266C2×Q8—22no—
1267C2×Q8—22no—
1268C2×Q8—41no—
1269C2×D4—22no—
1270C2×D4—22no—
1271C2×D4—22no—
1272C2×D4—22no—
1273C2×D4—22no—
1274C2×D4—22no—
1275C2×D4—22no—
1276C2×D4—22no—
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—41no—
1296C2×D4—41no—
1297C2×D4—41no—
1298C2×D4—41no—
1299C2×D4—41no—
1300C2×D4—41no—
1301C2×D4—41no—
1302C2×D4—41no—
1303C2×D4C2×D4×C7314yes—
1304C2×D4#41×C7314yescomplemented
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—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—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—416no—
1353C22×C4C2×D4×C7314yes—
1354C22×C4C2×D4×C7314yes—
1355C22×C4#41×C7314yescomplemented
1356C22×C4#41×C7314yescomplemented
1357C22×C4C24×C7311yescharacteristic
1358C22×C4C24×C7311yescharacteristic
1359C22×C4C24×C7311yescharacteristic
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
1382C4⋊C4—22no—
1383C4⋊C4—22no—
1384C4⋊C4—22no—
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—41no—
1400C4⋊C4—41no—
1401C4⋊C4—41no—
1402C4⋊C4—41no—
1403C4⋊C4—41no—
1404C4⋊C4—41no—
1405C4⋊C4C2×D4×C7314yes—
1406C22⋊C4—22no—
1407C22⋊C4—22no—
1408C22⋊C4—22no—
1409C22⋊C4—22no—
1410C22⋊C4—22no—
1411C22⋊C4—22no—
1412C22⋊C4—22no—
1413C22⋊C4—22no—
1414C22⋊C4—22no—
1415C22⋊C4—22no—
1416C22⋊C4—22no—
1417C22⋊C4—22no—
1418C22⋊C4—22no—
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—41no—
1439C22⋊C4—41no—
1440C22⋊C4—41no—
1441C22⋊C4—41no—
1442C22⋊C4—41no—
1443C22⋊C4—41no—
1444C22⋊C4—41no—
1445C22⋊C4—41no—
1446C22⋊C4—41no—
1447C22⋊C4—41no—
1448C22⋊C4—41no—
1449C22⋊C4C2×D4×C7314yes—
1450C22⋊C4C2×D4×C7314yes—
1451C22⋊C4#41×C7314yescomplemented
1452C42—22no—
1453C42—22no—
1454C42—22no—
1455C42—22no—
1456C42—22no—
1457C42—22no—
1458C42—22no—
1459C42—22no—
1460C42—22no—
1461C42—22no—
1462C42—22no—
1463C42—22no—
1464C42—22no—
1465C42—22no—
1466C42—41no—
1467C42—41no—
1468C42C2×D4×C7314yes—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—28no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—21no—
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—44no—
1506C23—44no—
1507C23—44no—
1508C23—44no—
1509C23—44no—
1510C23—44no—
1511C23C22×D4×C7312yes—
1512C23C22×D4×C7312yes—
1513C23C2×#41×C7312yes—
1514C23C2×#41×C7312yes—
1515C23C2×#41×C7312yes—
1516C23C2×#41×C7312yes—
1517C23C2×#41×C7312yes—
1518C23C25×C7311yescharacteristic
1519Q8—28no—
1520Q8—44no—
1521D4—28no—
1522D4—28no—
1523D4—28no—
1524D4—44no—
1525D4—44no—
1526D4—44no—
1527D4—44no—
1528D4—44no—
1529D4—44no—
1530D4—44no—
1531D4—44no—
1532D4—44no—
1533C2×C4—28no—
1534C2×C4—28no—
1535C2×C4—28no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
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—28no—
1557C2×C4—28no—
1558C2×C4—28no—
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—44no—
1602C2×C4—44no—
1603C2×C4—44no—
1604C2×C4—44no—
1605C2×C4—44no—
1606C2×C4—44no—
1607C2×C4—44no—
1608C2×C4—44no—
1609C2×C4—44no—
1610C2×C4—44no—
1611C2×C4—44no—
1612C2×C4C22×D4×C7312yes—
1613C2×C4C22×D4×C7312yes—
1614C2×C4C22×D4×C7312yes—
1615C2×C4C22×D4×C7312yes—
1616C2×C4C22×D4×C7312yes—
1617C2×C4C2×#41×C7312yes—
1618C2×C4C2×#41×C7312yes—
1619C2×C4C2×#41×C7312yes—
1620C2×C4C2×#41×C7312yes—
1621C2×C4C2×#41×C7312yes—
1622C2×C4C2×#41×C7312yes—
1623C2×C4C2×#41×C7312yes—
1624C2×C4H(5,𝔽2)×C7312yes—
1625C22—22no—
1626C22—22no—
1627C22—22no—
1628C22—22no—
1629C22—22no—
1630C22—22no—
1631C22—22no—
1632C22—22no—
1633C22—22no—
1634C22—22no—
1635C22—22no—
1636C22—22no—
1637C22—22no—
1638C22—22no—
1639C22—22no—
1640C22—22no—
1641C22—22no—
1642C22—22no—
1643C22—416no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—41no—
1654C22—41no—
1655C22—41no—
1656C22—41no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—41no—
1663C22—41no—
1664C22—41no—
1665C22—41no—
1666C22—41no—
1667C22#525×C7314yes—
1668C22C23×D4×C7311yescharacteristic
1669C22C22×#41×C7311yescharacteristic
1670C22C22×#41×C7311yescharacteristic
1671C22C22×#41×C7311yescharacteristic
1672C22C22×#41×C7311yescharacteristic
1673C22C2×H(5,𝔽2)×C7311yescharacteristic
1674C22#585×C7311yescharacteristic
1675C4—22no—
1676C4—22no—
1677C4—22no—
1678C4—22no—
1679C4—22no—
1680C4—22no—
1681C4—22no—
1682C4—22no—
1683C4—22no—
1684C4—22no—
1685C4—41no—
1686C4—41no—
1687C4—41no—
1688C4—41no—
1689C4—41no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—41no—
1695C4—41no—
1696C4—41no—
1697C4—41no—
1698C4—41no—
1699C4#546×C7314yes—
1700C2—24no—
1701C2—42no—
1702C2—42no—
1703C2—42no—
1704C2—42no—
1705C2—81no—
1706C2C2×#525×C7311yescharacteristic
1707C2C73×#344411yescharacteristic
1708C2C73×#346011yescharacteristic
1709C2C2×#546×C7311yescharacteristic
1710C2D4×#41×C7311yescharacteristic
1711C2C73×#347511yescharacteristic
1712C2C73×#348111yescharacteristic
subgroupG/H
centerC22×C4×C73C24
commutator, Frattini, cosocleC23C25×C73
socleC23×C73C25
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C22×C4×C73 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×#525×C73C2semidirect
2. C2×C4×#41×C73C2semidirect
3. C73×#2477C2semidirect
4. C73×#2476C2semidirect
5. C73×#2471C2semidirect
6. C73×#2470C2semidirect
7. C73×#2465C2semidirect
8. C73×#2464C2semidirect
9. C73×#2458C2semidirect
10. C73×#2457C2semidirect
11. C73×#2450C2semidirect
12. C73×#2444C2semidirect
13. C73×#2438C2semidirect
14. C73×#2430C2semidirect
15. C73×#2424C2semidirect
16. C73×#2418C2semidirect
17. C73×#2411C2semidirect
18. C73×#2404C2semidirect
19. C73×#2398C2semidirect
20. C73×#2396C2semidirect
21. C73×#2392C2semidirect
22. C73×#2388C2semidirect
23. C4×#123×C73C2semidirect
24. C4×#123×C73C2semidirect
25. C4×#121×C73C2semidirect
26. C4×#121×C73C2semidirect
27. C4×#120×C73C2semidirect
28. C73×#2297C2semidirect
29. C73×#2290C2semidirect
30. C73×#2290C2semidirect
31. C2×C4×C22⋊C4×C73C2semidirect
50. C2×C4×Q8×C73C22semidirect
51. C2×C4×Q8×C73C22semidirect
61. C2×C4×D4×C73C22semidirect
62. C2×C4×D4×C73C22semidirect
63. C2×C4×D4×C73C22semidirect
66. C2×#117×C73C22semidirect
67. C2×#117×C73C22semidirect
68. C2×#117×C73C22semidirect
73. C22×C42×C73C22semidirect
74. C22×C42×C73C22semidirect
75. #400×C73C22semidirect
76. #400×C73C22semidirect
77. #400×C73C22semidirect
79. #398×C73C22semidirect
80. #398×C73C22semidirect
81. #398×C73C22semidirect
83. #397×C73C22semidirect
84. #397×C73C22semidirect
88. #396×C73C22semidirect
89. #395×C73C22semidirect
90. #395×C73C22semidirect
97. #394×C73C22semidirect
98. #394×C73C22semidirect
101. #393×C73C22semidirect
102. #393×C73C22semidirect
106. #392×C73C22semidirect
107. #391×C73C22semidirect
108. #391×C73C22semidirect
112. #390×C73C22semidirect
113. #389×C73C22semidirect
114. #389×C73C22semidirect
120. #388×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
149. #386×C73C22semidirect
150. #386×C73C22semidirect
151. #386×C73C22semidirect
158. #385×C73C22semidirect
159. #385×C73C22semidirect
160. #385×C73C22semidirect
162. #381×C73C22semidirect
164. #380×C73C22semidirect
166. C4×C4⋊C4×C73C22semidirect
167. C4×C4⋊C4×C73C22semidirect
168. C4×C4⋊C4×C73C22semidirect
169. 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. #376×C73C22semidirect
256. C4×D4×C73D4semidirect
447. C2×D4×C73#41semidirect
498. C22×C4×C73#41semidirect
499. C22×C4×C73#41semidirect
594. C22⋊C4×C73#41semidirect
843. #34732C73direct (N × H)
857. C2×#525C2×C73semidirect
858. C2×C4×#41C2×C73semidirect
859. #2477C2×C73semidirect
860. #2476C2×C73semidirect
861. #2471C2×C73semidirect
862. #2470C2×C73semidirect
863. #2465C2×C73semidirect
864. #2464C2×C73semidirect
865. #2458C2×C73semidirect
866. #2457C2×C73semidirect
867. #2450C2×C73semidirect
868. #2444C2×C73semidirect
869. #2438C2×C73semidirect
870. #2430C2×C73semidirect
871. #2424C2×C73semidirect
872. #2418C2×C73semidirect
873. #2411C2×C73semidirect
874. #2404C2×C73semidirect
875. #2398C2×C73semidirect
876. #2396C2×C73semidirect
877. #2392C2×C73semidirect
878. #2388C2×C73semidirect
879. C4×#123C2×C73semidirect
880. C4×#123C2×C73semidirect
881. C4×#121C2×C73semidirect
882. C4×#121C2×C73semidirect
883. C4×#120C2×C73semidirect
884. #2297C2×C73semidirect
885. #2290C2×C73semidirect
886. #2290C2×C73semidirect
887. C2×C4×C22⋊C4C2×C73semidirect
888. C73#34732direct (N × H)
907. C2×C4×Q8C22×C73semidirect
908. C2×C4×Q8C22×C73semidirect
918. C2×C4×D4C22×C73semidirect
919. C2×C4×D4C22×C73semidirect
920. C2×C4×D4C22×C73semidirect
923. C2×#117C22×C73semidirect
924. C2×#117C22×C73semidirect
925. C2×#117C22×C73semidirect
930. C22×C42C22×C73semidirect
931. C22×C42C22×C73semidirect
932. #400C22×C73semidirect
933. #400C22×C73semidirect
934. #400C22×C73semidirect
936. #398C22×C73semidirect
937. #398C22×C73semidirect
938. #398C22×C73semidirect
940. #397C22×C73semidirect
941. #397C22×C73semidirect
945. #396C22×C73semidirect
946. #395C22×C73semidirect
947. #395C22×C73semidirect
954. #394C22×C73semidirect
955. #394C22×C73semidirect
958. #393C22×C73semidirect
959. #393C22×C73semidirect
963. #392C22×C73semidirect
964. #391C22×C73semidirect
965. #391C22×C73semidirect
969. #390C22×C73semidirect
970. #389C22×C73semidirect
971. #389C22×C73semidirect
977. #388C22×C73semidirect
978. #388C22×C73semidirect
979. #388C22×C73semidirect
980. #388C22×C73semidirect
981. #388C22×C73semidirect
982. #388C22×C73semidirect
983. #388C22×C73semidirect
984. #387C22×C73semidirect
985. #387C22×C73semidirect
986. #387C22×C73semidirect
987. #387C22×C73semidirect
988. #387C22×C73semidirect
989. #387C22×C73semidirect
990. #387C22×C73semidirect
991. #387C22×C73semidirect
1006. #386C22×C73semidirect
1007. #386C22×C73semidirect
1008. #386C22×C73semidirect
1015. #385C22×C73semidirect
1016. #385C22×C73semidirect
1017. #385C22×C73semidirect
1019. #381C22×C73semidirect
1021. #380C22×C73semidirect
1023. C4×C4⋊C4C22×C73semidirect
1024. C4×C4⋊C4C22×C73semidirect
1025. C4×C4⋊C4C22×C73semidirect
1026. C4×C4⋊C4C22×C73semidirect
1038. C4×C22⋊C4C22×C73semidirect
1039. C4×C22⋊C4C22×C73semidirect
1040. C4×C22⋊C4C22×C73semidirect
1041. C4×C22⋊C4C22×C73semidirect
1042. C4×C22⋊C4C22×C73semidirect
1043. #376C22×C73semidirect
1113. C4×D4D4×C73semidirect
1304. C2×D4#41×C73semidirect
1355. C22×C4#41×C73semidirect
1356. C22×C4#41×C73semidirect
1451. C22⋊C4#41×C73semidirect

Maximal subgroups

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

subgroupindex
C2×#525×C732
C2×C4×#41×C732
C73×#24772
C73×#24762
C73×#24712
C73×#24702
C73×#24652
C73×#24642
C73×#24582
C73×#24572
C73×#24502
C73×#24442
C73×#24382
C73×#24302
C73×#24242
C73×#24182
C73×#24112
C73×#24042
C73×#23982
C73×#23962
C73×#23922
C73×#23882
C4×#123×C732
C4×#121×C732
C4×#120×C732
C73×#22972
C73×#22902
C2×C4×C22⋊C4×C732
#3473273