Finite Group Databasebeta

← C73×#35053 #32944457

Subgroups — C73×#35053 #32944457

Order 18688.

2254 conjugacy classes of subgroups.

The subgroup lattice has 1628 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C73×#2852C211yesmaximal, characteristic, complemented
2C73×#2850C211yesmaximal, characteristic, complemented
3C73×#2849C211yesmaximal, characteristic, complemented
4C73×#2847C211yesmaximal, characteristic, complemented
5C73×#2665C211yesmaximal, characteristic, complemented
6C73×#2661C211yesmaximal, characteristic, complemented
7C73×#2653C211yesmaximal, characteristic, complemented
8C73×#2648C211yesmaximal, characteristic, complemented
9C73×#2578C211yesmaximal, characteristic, complemented
10C73×#2576C211yesmaximal, characteristic, complemented
11C73×#2574C211yesmaximal, characteristic, complemented
12C73×#2572C211yesmaximal, characteristic, complemented
13C73×#2559C211yesmaximal, characteristic, complemented
14C73×#2557C211yesmaximal, characteristic, complemented
15C73×#2555C211yesmaximal, characteristic, complemented
16C73×#2554C211yesmaximal, characteristic, complemented
17C73×#2510C211yesmaximal, characteristic, complemented
18C73×#2472C211yesmaximal, characteristic, complemented
19C73×#2444C211yesmaximal, characteristic, complemented
20C73×#2438C211yesmaximal, characteristic, complemented
21C73×#2430C211yesmaximal, characteristic, complemented
22C73×#2424C211yesmaximal, characteristic, complemented
23C73×#2411C211yesmaximal, characteristic, complemented
24C73×#2404C211yesmaximal, characteristic, complemented
25C73×#2337C211yesmaximal, characteristic, complemented
26C73×#2335C211yesmaximal, characteristic, complemented
27C73×#2333C211yesmaximal, characteristic, complemented
28C73×#2333C211yesmaximal, characteristic, complemented
29C4×#123×C73C211yesmaximal, characteristic, complemented
30C73×#2297C211yesmaximal, characteristic, complemented
31C2×C4×C22⋊C4×C73C211yesmaximal, characteristic, complemented
32C22×#41×C73C2211yescharacteristic
33C24×C4×C73C2211yescharacteristic
34C2×#126×C73C2211yescharacteristic, complemented
35C2×#124×C73C2211yescharacteristic
36C2×#124×C73C2211yescharacteristic, complemented
37C2×#123×C73C2211yescharacteristic
38C2×#123×C73C2211yescharacteristic
39C2×#123×C73C2211yescharacteristic
40C2×C22⋊Q8×C73C2211yescharacteristic
41C2×#121×C73C2211yescharacteristic
42C2×#121×C73C2211yescharacteristic
43C2×#121×C73C2211yescharacteristic
44C2×#121×C73C2211yescharacteristic
45C2×#121×C73C2211yescharacteristic
46C2×#120×C73C2211yescharacteristic
47C2×#120×C73C2211yescharacteristic
48C2×#120×C73C2211yescharacteristic
49C2×C4×D4×C73C2211yescharacteristic
50C2×#117×C73C2211yescharacteristic
51C22×C22⋊C4×C73C2211yescharacteristic
52C22×C22⋊C4×C73C2211yescharacteristic
53C22×C42×C73C2211yescharacteristic
54C22×C42×C73C2211yescharacteristic
55#401×C73C2211yescharacteristic, complemented
56#400×C73C2211yescharacteristic, complemented
57#400×C73C2211yescharacteristic, complemented
58#400×C73C2211yescharacteristic, complemented
59#398×C73C2211yescharacteristic, complemented
60#398×C73C2211yescharacteristic, complemented
61#397×C73C2211yescharacteristic
62#397×C73C2211yescharacteristic, complemented
63#397×C73C2211yescharacteristic, complemented
64#397×C73C2211yescharacteristic, complemented
65#397×C73C2211yescharacteristic, complemented
66#396×C73C2211yescharacteristic
67#396×C73C2211yescharacteristic
68#396×C73C2211yescharacteristic
69#395×C73C2211yescharacteristic, complemented
70#395×C73C2211yescharacteristic, complemented
71#394×C73C2211yescharacteristic
72#394×C73C2211yescharacteristic
73#394×C73C2211yescharacteristic
74#394×C73C2211yescharacteristic
75#394×C73C2211yescharacteristic
76#394×C73C2211yescharacteristic
77#394×C73C2211yescharacteristic, complemented
78#394×C73C2211yescharacteristic, complemented
79#393×C73C2211yescharacteristic
80#393×C73C2211yescharacteristic
81#393×C73C2211yescharacteristic
82#393×C73C2211yescharacteristic, complemented
83#392×C73C2211yescharacteristic
84#392×C73C2211yescharacteristic
85#392×C73C2211yescharacteristic
86#392×C73C2211yescharacteristic, complemented
87#391×C73C2211yescharacteristic, complemented
88#391×C73C2211yescharacteristic, complemented
89#391×C73C2211yescharacteristic, complemented
90#391×C73C2211yescharacteristic, complemented
91#390×C73C2211yescharacteristic
92#390×C73C2211yescharacteristic
93#390×C73C2211yescharacteristic
94#390×C73C2211yescharacteristic
95#390×C73C2211yescharacteristic, complemented
96#390×C73C2211yescharacteristic, complemented
97#390×C73C2211yescharacteristic, complemented
98#389×C73C2211yescharacteristic, complemented
99#388×C73C2211yescharacteristic
100#388×C73C2211yescharacteristic
101#388×C73C2211yescharacteristic
102#388×C73C2211yescharacteristic
103#388×C73C2211yescharacteristic
104#388×C73C2211yescharacteristic, complemented
105#388×C73C2211yescharacteristic, complemented
106#388×C73C2211yescharacteristic, complemented
107#388×C73C2211yescharacteristic, complemented
108#388×C73C2211yescharacteristic, complemented
109#388×C73C2211yescharacteristic, complemented
110#388×C73C2211yescharacteristic, complemented
111#388×C73C2211yescharacteristic, complemented
112#388×C73C2211yescharacteristic, complemented
113#388×C73C2211yescharacteristic, complemented
114#388×C73C2211yescharacteristic, complemented
115#388×C73C2211yescharacteristic, complemented
116#387×C73C2211yescharacteristic, complemented
117#387×C73C2211yescharacteristic, complemented
118#387×C73C2211yescharacteristic, complemented
119#387×C73C2211yescharacteristic, complemented
120#387×C73C2211yescharacteristic, complemented
121#387×C73C2211yescharacteristic, complemented
122#387×C73C2211yescharacteristic, complemented
123#387×C73C2211yescharacteristic, complemented
124#387×C73C2211yescharacteristic, complemented
125#386×C73C2211yescharacteristic
126#386×C73C2211yescharacteristic
127#386×C73C2211yescharacteristic
128#386×C73C2211yescharacteristic
129#386×C73C2211yescharacteristic
130#386×C73C2211yescharacteristic
131#386×C73C2211yescharacteristic
132#386×C73C2211yescharacteristic
133#386×C73C2211yescharacteristic
134#386×C73C2211yescharacteristic
135#386×C73C2211yescharacteristic
136#386×C73C2211yescharacteristic
137#386×C73C2211yescharacteristic
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, complemented
147#386×C73C2211yescharacteristic, complemented
148#386×C73C2211yescharacteristic, complemented
149#385×C73C2211yescharacteristic
150#385×C73C2211yescharacteristic
151#385×C73C2211yescharacteristic
152#385×C73C2211yescharacteristic
153#385×C73C2211yescharacteristic
154#385×C73C2211yescharacteristic
155#385×C73C2211yescharacteristic, complemented
156#385×C73C2211yescharacteristic, complemented
157#383×C73C2211yescharacteristic, complemented
158#383×C73C2211yescharacteristic, complemented
159#382×C73C2211yescharacteristic, complemented
160#381×C73C2211yescharacteristic
161#381×C73C2211yescharacteristic
162#381×C73C2211yescharacteristic
163#381×C73C2211yescharacteristic, complemented
164#380×C73C2211yescharacteristic
165#380×C73C2211yescharacteristic
166#380×C73C2211yescharacteristic
167#379×C73C2211yescharacteristic
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, complemented
180C4×C22⋊C4×C73C2211yescharacteristic, complemented
181C4×C22⋊C4×C73C2211yescharacteristic, complemented
182C4×C22⋊C4×C73C2211yescharacteristic, complemented
183C4×C22⋊C4×C73C2211yescharacteristic, complemented
184C4×C22⋊C4×C73C2211yescharacteristic, complemented
185C2×#95×C73C2211yescharacteristic
186C2×#95×C73C2211yescharacteristic
187C25×C73C2311yescharacteristic
188C2×#41×C73—24no—
189C2×#41×C73—42no—
190C2×#41×C73—42no—
191C22×Q8×C73C2311yescharacteristic
192C22×Q8×C73C2311yescharacteristic
193C22×D4×C73C2311yescharacteristic
194C22×D4×C73C2311yescharacteristic
195C22×D4×C73C2311yescharacteristic
196C22×D4×C73C2311yescharacteristic
197C22×D4×C73C2311yescharacteristic
198C22×D4×C73C2311yescharacteristic
199C22×D4×C73C2311yescharacteristic
200C22×D4×C73C2311yescharacteristic
201C22×D4×C73C2311yescharacteristic
202C22×D4×C73C2311yescharacteristic
203C22×D4×C73C2311yescharacteristic
204C22×D4×C73C2311yescharacteristic
205C23×C4×C73—24no—
206C23×C4×C73—42no—
207C23×C4×C73—42no—
208C23×C4×C73C2311yescharacteristic
209C23×C4×C73C2311yescharacteristic
210C23×C4×C73C2311yescharacteristic
211C23×C4×C73C2311yescharacteristic
212C23×C4×C73C2311yescharacteristic
213C23×C4×C73C2311yescharacteristic
214C23×C4×C73C2311yescharacteristic
215C23×C4×C73C2311yescharacteristic
216C23×C4×C73C2311yescharacteristic
217C23×C4×C73C2311yescharacteristic
218C23×C4×C73C2311yescharacteristic
219C23×C4×C73C2311yescharacteristic
220C23×C4×C73C2311yescharacteristic
221#126×C73—42no—
222#124×C73—24no—
223#124×C73—42no—
224#123×C73—24no—
225#123×C73—24no—
226#123×C73—42no—
227C22⋊Q8×C73—42no—
228#121×C73—24no—
229#121×C73—24no—
230#121×C73—42no—
231#121×C73—42no—
232#121×C73—42no—
233#120×C73—42no—
234#120×C73—42no—
235#120×C73—42no—
236C4×D4×C73—42no—
237#117×C73—42no—
238C2×C4⋊C4×C73C2311yescharacteristic
239C2×C4⋊C4×C73C2311yescharacteristic
240C2×C4⋊C4×C73C2311yescharacteristic
241C2×C4⋊C4×C73C2311yescharacteristic
242C2×C4⋊C4×C73C2311yescharacteristic
243C2×C4⋊C4×C73C2311yescharacteristic
244C2×C4⋊C4×C73C2311yescharacteristic
245C2×C4⋊C4×C73C2311yescharacteristic
246C2×C4⋊C4×C73C2311yescharacteristic
247C2×C4⋊C4×C73C2311yescharacteristic
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×C22⋊C4×C73—24no—
259C2×C22⋊C4×C73—24no—
260C2×C22⋊C4×C73C2311yescharacteristic
261C2×C22⋊C4×C73C2311yescharacteristic
262C2×C22⋊C4×C73C2311yescharacteristic
263C2×C22⋊C4×C73C2311yescharacteristic
264C2×C22⋊C4×C73C2311yescharacteristic
265C2×C22⋊C4×C73C2311yescharacteristic
266C2×C22⋊C4×C73C2311yescharacteristic
267C2×C22⋊C4×C73C2311yescharacteristic
268C2×C22⋊C4×C73C2311yescharacteristic
269C2×C22⋊C4×C73C2311yescharacteristic
270C2×C22⋊C4×C73C2311yescharacteristic
271C2×C22⋊C4×C73C2311yescharacteristic
272C2×C22⋊C4×C73C2311yescharacteristic
273C2×C22⋊C4×C73C2311yescharacteristic
274C2×C22⋊C4×C73C2311yescharacteristic
275C2×C22⋊C4×C73C2311yescharacteristic
276C2×C22⋊C4×C73C2311yescharacteristic
277C2×C22⋊C4×C73C2311yescharacteristic
278C2×C22⋊C4×C73C2311yescharacteristic
279C2×C22⋊C4×C73C2311yescharacteristic
280C2×C22⋊C4×C73C2311yescharacteristic
281C2×C22⋊C4×C73C2311yescharacteristic
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×C42×C73—42no—
311C2×C42×C73—42no—
312C2×C42×C73C2311yescharacteristic
313C2×C42×C73C2311yescharacteristic
314C2×C42×C73C2311yescharacteristic
315C2×C42×C73C2311yescharacteristic
316C2×C42×C73C2311yescharacteristic
317C2×C42×C73C2311yescharacteristic
318C2×C42×C73C2311yescharacteristic
319C2×C42×C73C2311yescharacteristic
320C2×C42×C73C2311yescharacteristic
321C2×C42×C73C2311yescharacteristic
322C2×C42×C73C2311yescharacteristic
323C2×C42×C73C2311yescharacteristic
324C2×C42×C73C2311yescharacteristic
325#95×C73C2311yescharacteristic
326#95×C73C2311yescharacteristic
327#95×C73C2311yescharacteristic
328#95×C73C2311yescharacteristic
329#95×C73C2311yescharacteristic
330#95×C73C2311yescharacteristic
331#95×C73C2311yescharacteristic
332#95×C73C2311yescharacteristic
333#95×C73C2311yescharacteristic
334#95×C73C2311yescharacteristic
335#95×C73C2311yescharacteristic
336#95×C73C2311yescharacteristic
337#95×C73C2311yescharacteristic
338#95×C73C2311yescharacteristic
339#95×C73C2311yescharacteristic
340#95×C73C2311yescharacteristic
341#95×C73C2311yescharacteristic
342#95×C73C2311yescharacteristic
343#95×C73C2311yescharacteristic
344#95×C73C2311yescharacteristic
345#95×C73C2311yescharacteristic
346#95×C73C2311yescharacteristic
347#95×C73C2311yescharacteristic
348#95×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
369C24×C73—22no—
370C24×C73—22no—
371C24×C73—22no—
372C24×C73—22no—
373C24×C73—22no—
374C24×C73—41no—
375C24×C73—41no—
376C24×C73C2411yescharacteristic
377C24×C73C2411yescharacteristic
378C24×C73C2411yescharacteristic
379C24×C73C2411yescharacteristic
380C24×C73C2411yescharacteristic
381C24×C73C2411yescharacteristic
382#41×C73—416no—
383C2×Q8×C73—22no—
384C2×Q8×C73—22no—
385C2×Q8×C73—41no—
386C2×Q8×C73—41no—
387C2×Q8×C73—41no—
388C2×Q8×C73—41no—
389C2×D4×C73—22no—
390C2×D4×C73—22no—
391C2×D4×C73—22no—
392C2×D4×C73—22no—
393C2×D4×C73—22no—
394C2×D4×C73—22no—
395C2×D4×C73—22no—
396C2×D4×C73—22no—
397C2×D4×C73—22no—
398C2×D4×C73—22no—
399C2×D4×C73—22no—
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—41no—
408C2×D4×C73—41no—
409C2×D4×C73—41no—
410C2×D4×C73—41no—
411C2×D4×C73—41no—
412C2×D4×C73—41no—
413C2×D4×C73—41no—
414C2×D4×C73—41no—
415C2×D4×C73—41no—
416C2×D4×C73—41no—
417C2×D4×C73—41no—
418C2×D4×C73—41no—
419C2×D4×C73—41no—
420C2×D4×C73—41no—
421C2×D4×C73—41no—
422C2×D4×C73—41no—
423C2×D4×C73—41no—
424C2×D4×C73—41no—
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—41no—
446C22×C4×C73—41no—
447C22×C4×C73—41no—
448C22×C4×C73—41no—
449C22×C4×C73—41no—
450C22×C4×C73—41no—
451C22×C4×C73—41no—
452C22×C4×C73—41no—
453C22×C4×C73—41no—
454C22×C4×C73—41no—
455C22×C4×C73—41no—
456C22×C4×C73—41no—
457C22×C4×C73—41no—
458C22×C4×C73—41no—
459C22×C4×C73—41no—
460C22×C4×C73—41no—
461C22×C4×C73—41no—
462C22×C4×C73—416no—
463C22×C4×C73#4114yes—
464C22×C4×C73#4114yescomplemented
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—41no—
498C4⋊C4×C73—41no—
499C4⋊C4×C73—41no—
500C4⋊C4×C73—41no—
501C4⋊C4×C73—41no—
502C4⋊C4×C73—41no—
503C4⋊C4×C73—41no—
504C4⋊C4×C73—41no—
505C4⋊C4×C73—41no—
506C4⋊C4×C73—41no—
507C4⋊C4×C73—41no—
508C4⋊C4×C73—41no—
509C4⋊C4×C73—41no—
510C22⋊C4×C73—22no—
511C22⋊C4×C73—22no—
512C22⋊C4×C73—22no—
513C22⋊C4×C73—22no—
514C22⋊C4×C73—22no—
515C22⋊C4×C73—22no—
516C22⋊C4×C73—22no—
517C22⋊C4×C73—22no—
518C22⋊C4×C73—22no—
519C22⋊C4×C73—22no—
520C22⋊C4×C73—22no—
521C22⋊C4×C73—22no—
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—41no—
537C22⋊C4×C73—41no—
538C22⋊C4×C73—41no—
539C22⋊C4×C73—41no—
540C22⋊C4×C73—41no—
541C22⋊C4×C73—41no—
542C22⋊C4×C73—41no—
543C22⋊C4×C73—41no—
544C22⋊C4×C73—41no—
545C22⋊C4×C73—41no—
546C22⋊C4×C73—41no—
547C22⋊C4×C73—41no—
548C22⋊C4×C73—41no—
549C22⋊C4×C73—41no—
550C22⋊C4×C73—41no—
551C22⋊C4×C73—41no—
552C22⋊C4×C73—41no—
553C22⋊C4×C73—41no—
554C22⋊C4×C73—41no—
555C22⋊C4×C73—41no—
556C22⋊C4×C73—41no—
557C22⋊C4×C73—41no—
558C22⋊C4×C73—41no—
559C22⋊C4×C73#4114yescomplemented
560C42×C73—22no—
561C42×C73—22no—
562C42×C73—22no—
563C42×C73—41no—
564C42×C73—41no—
565C42×C73—41no—
566C42×C73—41no—
567C42×C73—41no—
568C42×C73—41no—
569C42×C73—41no—
570C42×C73—41no—
571C42×C73—41no—
572C42×C73—41no—
573C23×C73—21no—
574C23×C73—21no—
575C23×C73—21no—
576C23×C73—21no—
577C23×C73—28no—
578C23×C73—21no—
579C23×C73—21no—
580C23×C73—21no—
581C23×C73—21no—
582C23×C73—21no—
583C23×C73—21no—
584C23×C73—21no—
585C23×C73—21no—
586C23×C73—21no—
587C23×C73—21no—
588C23×C73—21no—
589C23×C73—21no—
590C23×C73—21no—
591C23×C73—21no—
592C23×C73—21no—
593C23×C73—21no—
594C23×C73—21no—
595C23×C73—21no—
596C23×C73—21no—
597C23×C73—21no—
598C23×C73—21no—
599C23×C73—21no—
600C23×C73—21no—
601C23×C73—21no—
602C23×C73—21no—
603C23×C73—21no—
604C23×C73—21no—
605C23×C73—21no—
606C23×C73—21no—
607C23×C73—21no—
608C23×C73—21no—
609C23×C73—21no—
610C23×C73—21no—
611C23×C73—44no—
612C23×C73—44no—
613C23×C73—44no—
614C23×C73—44no—
615C23×C73—44no—
616C23×C73—44no—
617C23×C73C2×#4112yes—
618C23×C73C2×#4112yes—
619C23×C73C2×#4112yes—
620C23×C73H(5,𝔽2)12yes—
621C23×C73H(5,𝔽2)12yes—
622C23×C73C2511yescharacteristic
623Q8×C73—44no—
624Q8×C73—82no—
625D4×C73—44no—
626D4×C73—44no—
627D4×C73—44no—
628D4×C73—44no—
629D4×C73—82no—
630D4×C73—82no—
631D4×C73—82no—
632D4×C73—82no—
633D4×C73—82no—
634D4×C73—82no—
635D4×C73—82no—
636D4×C73—82no—
637C2×C4×C73—28no—
638C2×C4×C73—28no—
639C2×C4×C73—21no—
640C2×C4×C73—21no—
641C2×C4×C73—21no—
642C2×C4×C73—21no—
643C2×C4×C73—21no—
644C2×C4×C73—21no—
645C2×C4×C73—21no—
646C2×C4×C73—21no—
647C2×C4×C73—21no—
648C2×C4×C73—21no—
649C2×C4×C73—21no—
650C2×C4×C73—21no—
651C2×C4×C73—21no—
652C2×C4×C73—21no—
653C2×C4×C73—21no—
654C2×C4×C73—21no—
655C2×C4×C73—21no—
656C2×C4×C73—21no—
657C2×C4×C73—21no—
658C2×C4×C73—21no—
659C2×C4×C73—21no—
660C2×C4×C73—21no—
661C2×C4×C73—21no—
662C2×C4×C73—21no—
663C2×C4×C73—21no—
664C2×C4×C73—21no—
665C2×C4×C73—21no—
666C2×C4×C73—21no—
667C2×C4×C73—21no—
668C2×C4×C73—21no—
669C2×C4×C73—21no—
670C2×C4×C73—21no—
671C2×C4×C73—21no—
672C2×C4×C73—21no—
673C2×C4×C73—21no—
674C2×C4×C73—21no—
675C2×C4×C73—21no—
676C2×C4×C73—21no—
677C2×C4×C73—21no—
678C2×C4×C73—21no—
679C2×C4×C73—21no—
680C2×C4×C73—21no—
681C2×C4×C73—21no—
682C2×C4×C73—21no—
683C2×C4×C73—21no—
684C2×C4×C73—21no—
685C2×C4×C73—21no—
686C2×C4×C73—21no—
687C2×C4×C73—21no—
688C2×C4×C73—21no—
689C2×C4×C73—21no—
690C2×C4×C73—21no—
691C2×C4×C73—21no—
692C2×C4×C73—21no—
693C2×C4×C73—21no—
694C2×C4×C73—21no—
695C2×C4×C73—21no—
696C2×C4×C73—21no—
697C2×C4×C73—21no—
698C2×C4×C73—21no—
699C2×C4×C73—21no—
700C2×C4×C73—21no—
701C2×C4×C73—21no—
702C2×C4×C73—21no—
703C2×C4×C73—21no—
704C2×C4×C73—21no—
705C2×C4×C73—21no—
706C2×C4×C73—21no—
707C2×C4×C73—44no—
708C2×C4×C73—44no—
709C2×C4×C73—44no—
710C2×C4×C73—44no—
711C2×C4×C73—44no—
712C2×C4×C73—44no—
713C2×C4×C73—44no—
714C2×C4×C73—44no—
715C2×C4×C73—44no—
716C2×C4×C73—44no—
717C2×C4×C73—82no—
718C2×C4×C73C2×#4112yes—
719C2×C4×C73C2×#4112yes—
720C2×C4×C73C2×#4112yes—
721C2×C4×C73C2×#4112yes—
722C2×C4×C73C2×#4112yes—
723C2×C4×C73C2×#4112yes—
724C2×C4×C73H(5,𝔽2)12yes—
725C22×C73—22no—
726C22×C73—22no—
727C22×C73—22no—
728C22×C73—22no—
729C22×C73—22no—
730C22×C73—22no—
731C22×C73—22no—
732C22×C73—22no—
733C22×C73—22no—
734C22×C73—22no—
735C22×C73—22no—
736C22×C73—22no—
737C22×C73—416no—
738C22×C73—41no—
739C22×C73—41no—
740C22×C73—41no—
741C22×C73—41no—
742C22×C73—41no—
743C22×C73—41no—
744C22×C73—41no—
745C22×C73—41no—
746C22×C73—41no—
747C22×C73—41no—
748C22×C73—41no—
749C22×C73—41no—
750C22×C73—41no—
751C22×C73—41no—
752C22×C73—41no—
753C22×C73—41no—
754C22×C73—41no—
755C22×C73—41no—
756C22×C73—41no—
757C22×C73—41no—
758C22×C73—41no—
759C22×C73—41no—
760C22×C73—41no—
761C22×C73—41no—
762C22×C73—41no—
763C22×C73—41no—
764C22×C73—41no—
765C22×C73—41no—
766C22×C73—41no—
767C22×C73#53814yes—
768C22×C73C22×#4111yescharacteristic
769C22×C73C22×#4111yescharacteristic
770C22×C73C22×#4111yescharacteristic
771C22×C73C2×H(5,𝔽2)11yescharacteristic
772C22×C73C2×H(5,𝔽2)11yescharacteristic
773C22×C73C2×H(5,𝔽2)11yescharacteristic
774C22×C73#58511yescharacteristic
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—41no—
798C4×C73—41no—
799C4×C73—41no—
800#35053C7311yesmaximal, characteristic, direct product factor, Sylow
801C2×C73—24no—
802C2×C73—42no—
803C2×C73—42no—
804C2×C73—81no—
805C2×C73—81no—
806C2×C73—81no—
807C2×C73#344411yescharacteristic
808C2×C73C2×#53811yescharacteristic
809C2×C73#346011yescharacteristic
810C2×C73#349011yescharacteristic
811C2×C73#349411yescharacteristic
812C2×C73#351311yescharacteristic
813C2×C73#351911yescharacteristic
814#2852C2×C7311yescharacteristic, complemented
815#2850C2×C7311yescharacteristic, complemented
816#2849C2×C7311yescharacteristic, complemented
817#2847C2×C7311yescharacteristic, complemented
818#2665C2×C7311yescharacteristic, complemented
819#2661C2×C7311yescharacteristic, complemented
820#2653C2×C7311yescharacteristic, complemented
821#2648C2×C7311yescharacteristic, complemented
822#2578C2×C7311yescharacteristic, complemented
823#2576C2×C7311yescharacteristic, complemented
824#2574C2×C7311yescharacteristic, complemented
825#2572C2×C7311yescharacteristic, complemented
826#2559C2×C7311yescharacteristic, complemented
827#2557C2×C7311yescharacteristic, complemented
828#2555C2×C7311yescharacteristic, complemented
829#2554C2×C7311yescharacteristic, complemented
830#2510C2×C7311yescharacteristic, complemented
831#2472C2×C7311yescharacteristic, complemented
832#2444C2×C7311yescharacteristic, complemented
833#2438C2×C7311yescharacteristic, complemented
834#2430C2×C7311yescharacteristic, complemented
835#2424C2×C7311yescharacteristic, complemented
836#2411C2×C7311yescharacteristic, complemented
837#2404C2×C7311yescharacteristic, complemented
838#2337C2×C7311yescharacteristic, complemented
839#2335C2×C7311yescharacteristic, complemented
840#2333C2×C7311yescharacteristic, complemented
841#2333C2×C7311yescharacteristic, complemented
842C4×#123C2×C7311yescharacteristic, complemented
843#2297C2×C7311yescharacteristic, complemented
844C2×C4×C22⋊C4C2×C7311yescharacteristic, complemented
845C73#3505311yescharacteristic, direct product factor, Sylow
846C22×#41C22×C7311yescharacteristic
847C24×C4C22×C7311yescharacteristic
848C2×#126C22×C7311yescharacteristic, complemented
849C2×#124C22×C7311yescharacteristic
850C2×#124C22×C7311yescharacteristic, complemented
851C2×#123C22×C7311yescharacteristic
852C2×#123C22×C7311yescharacteristic
853C2×#123C22×C7311yescharacteristic
854C2×C22⋊Q8C22×C7311yescharacteristic
855C2×#121C22×C7311yescharacteristic
856C2×#121C22×C7311yescharacteristic
857C2×#121C22×C7311yescharacteristic
858C2×#121C22×C7311yescharacteristic
859C2×#121C22×C7311yescharacteristic
860C2×#120C22×C7311yescharacteristic
861C2×#120C22×C7311yescharacteristic
862C2×#120C22×C7311yescharacteristic
863C2×C4×D4C22×C7311yescharacteristic
864C2×#117C22×C7311yescharacteristic
865C22×C22⋊C4C22×C7311yescharacteristic
866C22×C22⋊C4C22×C7311yescharacteristic
867C22×C42C22×C7311yescharacteristic
868C22×C42C22×C7311yescharacteristic
869#401C22×C7311yescharacteristic, complemented
870#400C22×C7311yescharacteristic, complemented
871#400C22×C7311yescharacteristic, complemented
872#400C22×C7311yescharacteristic, complemented
873#398C22×C7311yescharacteristic, complemented
874#398C22×C7311yescharacteristic, complemented
875#397C22×C7311yescharacteristic
876#397C22×C7311yescharacteristic, complemented
877#397C22×C7311yescharacteristic, complemented
878#397C22×C7311yescharacteristic, complemented
879#397C22×C7311yescharacteristic, complemented
880#396C22×C7311yescharacteristic
881#396C22×C7311yescharacteristic
882#396C22×C7311yescharacteristic
883#395C22×C7311yescharacteristic, complemented
884#395C22×C7311yescharacteristic, complemented
885#394C22×C7311yescharacteristic
886#394C22×C7311yescharacteristic
887#394C22×C7311yescharacteristic
888#394C22×C7311yescharacteristic
889#394C22×C7311yescharacteristic
890#394C22×C7311yescharacteristic
891#394C22×C7311yescharacteristic, complemented
892#394C22×C7311yescharacteristic, complemented
893#393C22×C7311yescharacteristic
894#393C22×C7311yescharacteristic
895#393C22×C7311yescharacteristic
896#393C22×C7311yescharacteristic, complemented
897#392C22×C7311yescharacteristic
898#392C22×C7311yescharacteristic
899#392C22×C7311yescharacteristic
900#392C22×C7311yescharacteristic, complemented
901#391C22×C7311yescharacteristic, complemented
902#391C22×C7311yescharacteristic, complemented
903#391C22×C7311yescharacteristic, complemented
904#391C22×C7311yescharacteristic, complemented
905#390C22×C7311yescharacteristic
906#390C22×C7311yescharacteristic
907#390C22×C7311yescharacteristic
908#390C22×C7311yescharacteristic
909#390C22×C7311yescharacteristic, complemented
910#390C22×C7311yescharacteristic, complemented
911#390C22×C7311yescharacteristic, complemented
912#389C22×C7311yescharacteristic, complemented
913#388C22×C7311yescharacteristic
914#388C22×C7311yescharacteristic
915#388C22×C7311yescharacteristic
916#388C22×C7311yescharacteristic
917#388C22×C7311yescharacteristic
918#388C22×C7311yescharacteristic, complemented
919#388C22×C7311yescharacteristic, complemented
920#388C22×C7311yescharacteristic, complemented
921#388C22×C7311yescharacteristic, complemented
922#388C22×C7311yescharacteristic, complemented
923#388C22×C7311yescharacteristic, complemented
924#388C22×C7311yescharacteristic, complemented
925#388C22×C7311yescharacteristic, complemented
926#388C22×C7311yescharacteristic, complemented
927#388C22×C7311yescharacteristic, complemented
928#388C22×C7311yescharacteristic, complemented
929#388C22×C7311yescharacteristic, complemented
930#387C22×C7311yescharacteristic, complemented
931#387C22×C7311yescharacteristic, complemented
932#387C22×C7311yescharacteristic, complemented
933#387C22×C7311yescharacteristic, complemented
934#387C22×C7311yescharacteristic, complemented
935#387C22×C7311yescharacteristic, complemented
936#387C22×C7311yescharacteristic, complemented
937#387C22×C7311yescharacteristic, complemented
938#387C22×C7311yescharacteristic, complemented
939#386C22×C7311yescharacteristic
940#386C22×C7311yescharacteristic
941#386C22×C7311yescharacteristic
942#386C22×C7311yescharacteristic
943#386C22×C7311yescharacteristic
944#386C22×C7311yescharacteristic
945#386C22×C7311yescharacteristic
946#386C22×C7311yescharacteristic
947#386C22×C7311yescharacteristic
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#386C22×C7311yescharacteristic, complemented
961#386C22×C7311yescharacteristic, complemented
962#386C22×C7311yescharacteristic, complemented
963#385C22×C7311yescharacteristic
964#385C22×C7311yescharacteristic
965#385C22×C7311yescharacteristic
966#385C22×C7311yescharacteristic
967#385C22×C7311yescharacteristic
968#385C22×C7311yescharacteristic
969#385C22×C7311yescharacteristic, complemented
970#385C22×C7311yescharacteristic, complemented
971#383C22×C7311yescharacteristic, complemented
972#383C22×C7311yescharacteristic, complemented
973#382C22×C7311yescharacteristic, complemented
974#381C22×C7311yescharacteristic
975#381C22×C7311yescharacteristic
976#381C22×C7311yescharacteristic
977#381C22×C7311yescharacteristic, complemented
978#380C22×C7311yescharacteristic
979#380C22×C7311yescharacteristic
980#380C22×C7311yescharacteristic
981#379C22×C7311yescharacteristic
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
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
998C4×C22⋊C4C22×C7311yescharacteristic, complemented
999C2×#95C22×C7311yescharacteristic
1000C2×#95C22×C7311yescharacteristic
1001C25C23×C7311yescharacteristic
1002C2×#41—24no—
1003C2×#41—42no—
1004C2×#41—42no—
1005C22×Q8C23×C7311yescharacteristic
1006C22×Q8C23×C7311yescharacteristic
1007C22×D4C23×C7311yescharacteristic
1008C22×D4C23×C7311yescharacteristic
1009C22×D4C23×C7311yescharacteristic
1010C22×D4C23×C7311yescharacteristic
1011C22×D4C23×C7311yescharacteristic
1012C22×D4C23×C7311yescharacteristic
1013C22×D4C23×C7311yescharacteristic
1014C22×D4C23×C7311yescharacteristic
1015C22×D4C23×C7311yescharacteristic
1016C22×D4C23×C7311yescharacteristic
1017C22×D4C23×C7311yescharacteristic
1018C22×D4C23×C7311yescharacteristic
1019C23×C4—24no—
1020C23×C4—42no—
1021C23×C4—42no—
1022C23×C4C23×C7311yescharacteristic
1023C23×C4C23×C7311yescharacteristic
1024C23×C4C23×C7311yescharacteristic
1025C23×C4C23×C7311yescharacteristic
1026C23×C4C23×C7311yescharacteristic
1027C23×C4C23×C7311yescharacteristic
1028C23×C4C23×C7311yescharacteristic
1029C23×C4C23×C7311yescharacteristic
1030C23×C4C23×C7311yescharacteristic
1031C23×C4C23×C7311yescharacteristic
1032C23×C4C23×C7311yescharacteristic
1033C23×C4C23×C7311yescharacteristic
1034C23×C4C23×C7311yescharacteristic
1035#126—42no—
1036#124—24no—
1037#124—42no—
1038#123—24no—
1039#123—24no—
1040#123—42no—
1041C22⋊Q8—42no—
1042#121—24no—
1043#121—24no—
1044#121—42no—
1045#121—42no—
1046#121—42no—
1047#120—42no—
1048#120—42no—
1049#120—42no—
1050C4×D4—42no—
1051#117—42no—
1052C2×C4⋊C4C23×C7311yescharacteristic
1053C2×C4⋊C4C23×C7311yescharacteristic
1054C2×C4⋊C4C23×C7311yescharacteristic
1055C2×C4⋊C4C23×C7311yescharacteristic
1056C2×C4⋊C4C23×C7311yescharacteristic
1057C2×C4⋊C4C23×C7311yescharacteristic
1058C2×C4⋊C4C23×C7311yescharacteristic
1059C2×C4⋊C4C23×C7311yescharacteristic
1060C2×C4⋊C4C23×C7311yescharacteristic
1061C2×C4⋊C4C23×C7311yescharacteristic
1062C2×C4⋊C4C23×C7311yescharacteristic
1063C2×C4⋊C4C23×C7311yescharacteristic
1064C2×C4⋊C4C23×C7311yescharacteristic
1065C2×C4⋊C4C23×C7311yescharacteristic
1066C2×C4⋊C4C23×C7311yescharacteristic
1067C2×C4⋊C4C23×C7311yescharacteristic
1068C2×C4⋊C4C23×C7311yescharacteristic
1069C2×C4⋊C4C23×C7311yescharacteristic
1070C2×C4⋊C4C23×C7311yescharacteristic
1071C2×C4⋊C4C23×C7311yescharacteristic
1072C2×C22⋊C4—24no—
1073C2×C22⋊C4—24no—
1074C2×C22⋊C4C23×C7311yescharacteristic
1075C2×C22⋊C4C23×C7311yescharacteristic
1076C2×C22⋊C4C23×C7311yescharacteristic
1077C2×C22⋊C4C23×C7311yescharacteristic
1078C2×C22⋊C4C23×C7311yescharacteristic
1079C2×C22⋊C4C23×C7311yescharacteristic
1080C2×C22⋊C4C23×C7311yescharacteristic
1081C2×C22⋊C4C23×C7311yescharacteristic
1082C2×C22⋊C4C23×C7311yescharacteristic
1083C2×C22⋊C4C23×C7311yescharacteristic
1084C2×C22⋊C4C23×C7311yescharacteristic
1085C2×C22⋊C4C23×C7311yescharacteristic
1086C2×C22⋊C4C23×C7311yescharacteristic
1087C2×C22⋊C4C23×C7311yescharacteristic
1088C2×C22⋊C4C23×C7311yescharacteristic
1089C2×C22⋊C4C23×C7311yescharacteristic
1090C2×C22⋊C4C23×C7311yescharacteristic
1091C2×C22⋊C4C23×C7311yescharacteristic
1092C2×C22⋊C4C23×C7311yescharacteristic
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×C42—42no—
1125C2×C42—42no—
1126C2×C42C23×C7311yescharacteristic
1127C2×C42C23×C7311yescharacteristic
1128C2×C42C23×C7311yescharacteristic
1129C2×C42C23×C7311yescharacteristic
1130C2×C42C23×C7311yescharacteristic
1131C2×C42C23×C7311yescharacteristic
1132C2×C42C23×C7311yescharacteristic
1133C2×C42C23×C7311yescharacteristic
1134C2×C42C23×C7311yescharacteristic
1135C2×C42C23×C7311yescharacteristic
1136C2×C42C23×C7311yescharacteristic
1137C2×C42C23×C7311yescharacteristic
1138C2×C42C23×C7311yescharacteristic
1139#95C23×C7311yescharacteristic
1140#95C23×C7311yescharacteristic
1141#95C23×C7311yescharacteristic
1142#95C23×C7311yescharacteristic
1143#95C23×C7311yescharacteristic
1144#95C23×C7311yescharacteristic
1145#95C23×C7311yescharacteristic
1146#95C23×C7311yescharacteristic
1147#95C23×C7311yescharacteristic
1148#95C23×C7311yescharacteristic
1149#95C23×C7311yescharacteristic
1150#95C23×C7311yescharacteristic
1151#95C23×C7311yescharacteristic
1152#95C23×C7311yescharacteristic
1153#95C23×C7311yescharacteristic
1154#95C23×C7311yescharacteristic
1155#95C23×C7311yescharacteristic
1156#95C23×C7311yescharacteristic
1157#95C23×C7311yescharacteristic
1158#95C23×C7311yescharacteristic
1159#95C23×C7311yescharacteristic
1160#95C23×C7311yescharacteristic
1161#95C23×C7311yescharacteristic
1162#95C23×C7311yescharacteristic
1163#95C23×C7311yescharacteristic
1164#95C23×C7311yescharacteristic
1165#95C23×C7311yescharacteristic
1166#95C23×C7311yescharacteristic
1167#95C23×C7311yescharacteristic
1168#95C23×C7311yescharacteristic
1169#95C23×C7311yescharacteristic
1170#95C23×C7311yescharacteristic
1171#95C23×C7311yescharacteristic
1172#95C23×C7311yescharacteristic
1173#95C23×C7311yescharacteristic
1174#95C23×C7311yescharacteristic
1175#95C23×C7311yescharacteristic
1176#95C23×C7311yescharacteristic
1177#95C23×C7311yescharacteristic
1178#95C23×C7311yescharacteristic
1179#95C23×C7311yescharacteristic
1180#95C23×C7311yescharacteristic
1181#95C23×C7311yescharacteristic
1182#95C23×C7311yescharacteristic
1183C24—22no—
1184C24—22no—
1185C24—22no—
1186C24—22no—
1187C24—22no—
1188C24—41no—
1189C24—41no—
1190C24C24×C7311yescharacteristic
1191C24C24×C7311yescharacteristic
1192C24C24×C7311yescharacteristic
1193C24C24×C7311yescharacteristic
1194C24C24×C7311yescharacteristic
1195C24C24×C7311yescharacteristic
1196#41—416no—
1197C2×Q8—22no—
1198C2×Q8—22no—
1199C2×Q8—41no—
1200C2×Q8—41no—
1201C2×Q8—41no—
1202C2×Q8—41no—
1203C2×D4—22no—
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—22no—
1207C2×D4—22no—
1208C2×D4—22no—
1209C2×D4—22no—
1210C2×D4—22no—
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—41no—
1222C2×D4—41no—
1223C2×D4—41no—
1224C2×D4—41no—
1225C2×D4—41no—
1226C2×D4—41no—
1227C2×D4—41no—
1228C2×D4—41no—
1229C2×D4—41no—
1230C2×D4—41no—
1231C2×D4—41no—
1232C2×D4—41no—
1233C2×D4—41no—
1234C2×D4—41no—
1235C2×D4—41no—
1236C2×D4—41no—
1237C2×D4—41no—
1238C2×D4—41no—
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—41no—
1260C22×C4—41no—
1261C22×C4—41no—
1262C22×C4—41no—
1263C22×C4—41no—
1264C22×C4—41no—
1265C22×C4—41no—
1266C22×C4—41no—
1267C22×C4—41no—
1268C22×C4—41no—
1269C22×C4—41no—
1270C22×C4—41no—
1271C22×C4—41no—
1272C22×C4—41no—
1273C22×C4—41no—
1274C22×C4—41no—
1275C22×C4—41no—
1276C22×C4—416no—
1277C22×C4#41×C7314yes—
1278C22×C4#41×C7314yescomplemented
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
1301C22×C4C24×C7311yescharacteristic
1302C22×C4C24×C7311yescharacteristic
1303C22×C4C24×C7311yescharacteristic
1304C4⋊C4—22no—
1305C4⋊C4—22no—
1306C4⋊C4—22no—
1307C4⋊C4—22no—
1308C4⋊C4—22no—
1309C4⋊C4—22no—
1310C4⋊C4—22no—
1311C4⋊C4—41no—
1312C4⋊C4—41no—
1313C4⋊C4—41no—
1314C4⋊C4—41no—
1315C4⋊C4—41no—
1316C4⋊C4—41no—
1317C4⋊C4—41no—
1318C4⋊C4—41no—
1319C4⋊C4—41no—
1320C4⋊C4—41no—
1321C4⋊C4—41no—
1322C4⋊C4—41no—
1323C4⋊C4—41no—
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—22no—
1344C22⋊C4—22no—
1345C22⋊C4—22no—
1346C22⋊C4—22no—
1347C22⋊C4—22no—
1348C22⋊C4—22no—
1349C22⋊C4—22no—
1350C22⋊C4—41no—
1351C22⋊C4—41no—
1352C22⋊C4—41no—
1353C22⋊C4—41no—
1354C22⋊C4—41no—
1355C22⋊C4—41no—
1356C22⋊C4—41no—
1357C22⋊C4—41no—
1358C22⋊C4—41no—
1359C22⋊C4—41no—
1360C22⋊C4—41no—
1361C22⋊C4—41no—
1362C22⋊C4—41no—
1363C22⋊C4—41no—
1364C22⋊C4—41no—
1365C22⋊C4—41no—
1366C22⋊C4—41no—
1367C22⋊C4—41no—
1368C22⋊C4—41no—
1369C22⋊C4—41no—
1370C22⋊C4—41no—
1371C22⋊C4—41no—
1372C22⋊C4—41no—
1373C22⋊C4#41×C7314yescomplemented
1374C42—22no—
1375C42—22no—
1376C42—22no—
1377C42—41no—
1378C42—41no—
1379C42—41no—
1380C42—41no—
1381C42—41no—
1382C42—41no—
1383C42—41no—
1384C42—41no—
1385C42—41no—
1386C42—41no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—28no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—44no—
1426C23—44no—
1427C23—44no—
1428C23—44no—
1429C23—44no—
1430C23—44no—
1431C23C2×#41×C7312yes—
1432C23C2×#41×C7312yes—
1433C23C2×#41×C7312yes—
1434C23H(5,𝔽2)×C7312yes—
1435C23H(5,𝔽2)×C7312yes—
1436C23C25×C7311yescharacteristic
1437Q8—44no—
1438Q8—82no—
1439D4—44no—
1440D4—44no—
1441D4—44no—
1442D4—44no—
1443D4—82no—
1444D4—82no—
1445D4—82no—
1446D4—82no—
1447D4—82no—
1448D4—82no—
1449D4—82no—
1450D4—82no—
1451C2×C4—28no—
1452C2×C4—28no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—44no—
1522C2×C4—44no—
1523C2×C4—44no—
1524C2×C4—44no—
1525C2×C4—44no—
1526C2×C4—44no—
1527C2×C4—44no—
1528C2×C4—44no—
1529C2×C4—44no—
1530C2×C4—44no—
1531C2×C4—82no—
1532C2×C4C2×#41×C7312yes—
1533C2×C4C2×#41×C7312yes—
1534C2×C4C2×#41×C7312yes—
1535C2×C4C2×#41×C7312yes—
1536C2×C4C2×#41×C7312yes—
1537C2×C4C2×#41×C7312yes—
1538C2×C4H(5,𝔽2)×C7312yes—
1539C22—22no—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—22no—
1546C22—22no—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—416no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—41no—
1575C22—41no—
1576C22—41no—
1577C22—41no—
1578C22—41no—
1579C22—41no—
1580C22—41no—
1581C22#538×C7314yes—
1582C22C22×#41×C7311yescharacteristic
1583C22C22×#41×C7311yescharacteristic
1584C22C22×#41×C7311yescharacteristic
1585C22C2×H(5,𝔽2)×C7311yescharacteristic
1586C22C2×H(5,𝔽2)×C7311yescharacteristic
1587C22C2×H(5,𝔽2)×C7311yescharacteristic
1588C22#585×C7311yescharacteristic
1589C4—22no—
1590C4—22no—
1591C4—22no—
1592C4—22no—
1593C4—22no—
1594C4—22no—
1595C4—22no—
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—41no—
1609C4—41no—
1610C4—41no—
1611C4—41no—
1612C4—41no—
1613C4—41no—
1614C2—24no—
1615C2—42no—
1616C2—42no—
1617C2—81no—
1618C2—81no—
1619C2—81no—
1620C2C73×#344411yescharacteristic
1621C2C2×#538×C7311yescharacteristic
1622C2C73×#346011yescharacteristic
1623C2C73×#349011yescharacteristic
1624C2C73×#349411yescharacteristic
1625C2C73×#351311yescharacteristic
1626C2C73×#351911yescharacteristic
subgroupG/H
center, socleC23×C73C25
commutator, Frattini, cosocleC23C25×C73
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C73 ◁ G

Complements

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

NH ≅ G/Ntype
1. C73×#2852C2semidirect
2. C73×#2850C2semidirect
3. C73×#2849C2semidirect
4. C73×#2847C2semidirect
5. C73×#2665C2semidirect
6. C73×#2661C2semidirect
7. C73×#2653C2semidirect
8. C73×#2648C2semidirect
9. C73×#2578C2semidirect
10. C73×#2576C2semidirect
11. C73×#2574C2semidirect
12. C73×#2572C2semidirect
13. C73×#2559C2semidirect
14. C73×#2557C2semidirect
15. C73×#2555C2semidirect
16. C73×#2554C2semidirect
17. C73×#2510C2semidirect
18. C73×#2472C2semidirect
19. C73×#2444C2semidirect
20. C73×#2438C2semidirect
21. C73×#2430C2semidirect
22. C73×#2424C2semidirect
23. C73×#2411C2semidirect
24. C73×#2404C2semidirect
25. C73×#2337C2semidirect
26. C73×#2335C2semidirect
27. C73×#2333C2semidirect
28. C73×#2333C2semidirect
29. C4×#123×C73C2semidirect
30. C73×#2297C2semidirect
31. C2×C4×C22⋊C4×C73C2semidirect
34. C2×#126×C73C22semidirect
36. C2×#124×C73C22semidirect
55. #401×C73C22semidirect
56. #400×C73C22semidirect
57. #400×C73C22semidirect
58. #400×C73C22semidirect
59. #398×C73C22semidirect
60. #398×C73C22semidirect
62. #397×C73C22semidirect
63. #397×C73C22semidirect
64. #397×C73C22semidirect
65. #397×C73C22semidirect
69. #395×C73C22semidirect
70. #395×C73C22semidirect
77. #394×C73C22semidirect
78. #394×C73C22semidirect
82. #393×C73C22semidirect
86. #392×C73C22semidirect
87. #391×C73C22semidirect
88. #391×C73C22semidirect
89. #391×C73C22semidirect
90. #391×C73C22semidirect
95. #390×C73C22semidirect
96. #390×C73C22semidirect
97. #390×C73C22semidirect
98. #389×C73C22semidirect
104. #388×C73C22semidirect
105. #388×C73C22semidirect
106. #388×C73C22semidirect
107. #388×C73C22semidirect
108. #388×C73C22semidirect
109. #388×C73C22semidirect
110. #388×C73C22semidirect
111. #388×C73C22semidirect
112. #388×C73C22semidirect
113. #388×C73C22semidirect
114. #388×C73C22semidirect
115. #388×C73C22semidirect
116. #387×C73C22semidirect
117. #387×C73C22semidirect
118. #387×C73C22semidirect
119. #387×C73C22semidirect
120. #387×C73C22semidirect
121. #387×C73C22semidirect
122. #387×C73C22semidirect
123. #387×C73C22semidirect
124. #387×C73C22semidirect
146. #386×C73C22semidirect
147. #386×C73C22semidirect
148. #386×C73C22semidirect
155. #385×C73C22semidirect
156. #385×C73C22semidirect
157. #383×C73C22semidirect
158. #383×C73C22semidirect
159. #382×C73C22semidirect
163. #381×C73C22semidirect
168. C4×C4⋊C4×C73C22semidirect
169. C4×C4⋊C4×C73C22semidirect
179. C4×C22⋊C4×C73C22semidirect
180. C4×C22⋊C4×C73C22semidirect
181. C4×C22⋊C4×C73C22semidirect
182. C4×C22⋊C4×C73C22semidirect
183. C4×C22⋊C4×C73C22semidirect
184. C4×C22⋊C4×C73C22semidirect
464. C22×C4×C73#41semidirect
559. C22⋊C4×C73#41semidirect
800. #35053C73direct (N × H)
814. #2852C2×C73semidirect
815. #2850C2×C73semidirect
816. #2849C2×C73semidirect
817. #2847C2×C73semidirect
818. #2665C2×C73semidirect
819. #2661C2×C73semidirect
820. #2653C2×C73semidirect
821. #2648C2×C73semidirect
822. #2578C2×C73semidirect
823. #2576C2×C73semidirect
824. #2574C2×C73semidirect
825. #2572C2×C73semidirect
826. #2559C2×C73semidirect
827. #2557C2×C73semidirect
828. #2555C2×C73semidirect
829. #2554C2×C73semidirect
830. #2510C2×C73semidirect
831. #2472C2×C73semidirect
832. #2444C2×C73semidirect
833. #2438C2×C73semidirect
834. #2430C2×C73semidirect
835. #2424C2×C73semidirect
836. #2411C2×C73semidirect
837. #2404C2×C73semidirect
838. #2337C2×C73semidirect
839. #2335C2×C73semidirect
840. #2333C2×C73semidirect
841. #2333C2×C73semidirect
842. C4×#123C2×C73semidirect
843. #2297C2×C73semidirect
844. C2×C4×C22⋊C4C2×C73semidirect
845. C73#35053direct (N × H)
848. C2×#126C22×C73semidirect
850. C2×#124C22×C73semidirect
869. #401C22×C73semidirect
870. #400C22×C73semidirect
871. #400C22×C73semidirect
872. #400C22×C73semidirect
873. #398C22×C73semidirect
874. #398C22×C73semidirect
876. #397C22×C73semidirect
877. #397C22×C73semidirect
878. #397C22×C73semidirect
879. #397C22×C73semidirect
883. #395C22×C73semidirect
884. #395C22×C73semidirect
891. #394C22×C73semidirect
892. #394C22×C73semidirect
896. #393C22×C73semidirect
900. #392C22×C73semidirect
901. #391C22×C73semidirect
902. #391C22×C73semidirect
903. #391C22×C73semidirect
904. #391C22×C73semidirect
909. #390C22×C73semidirect
910. #390C22×C73semidirect
911. #390C22×C73semidirect
912. #389C22×C73semidirect
918. #388C22×C73semidirect
919. #388C22×C73semidirect
920. #388C22×C73semidirect
921. #388C22×C73semidirect
922. #388C22×C73semidirect
923. #388C22×C73semidirect
924. #388C22×C73semidirect
925. #388C22×C73semidirect
926. #388C22×C73semidirect
927. #388C22×C73semidirect
928. #388C22×C73semidirect
929. #388C22×C73semidirect
930. #387C22×C73semidirect
931. #387C22×C73semidirect
932. #387C22×C73semidirect
933. #387C22×C73semidirect
934. #387C22×C73semidirect
935. #387C22×C73semidirect
936. #387C22×C73semidirect
937. #387C22×C73semidirect
938. #387C22×C73semidirect
960. #386C22×C73semidirect
961. #386C22×C73semidirect
962. #386C22×C73semidirect
969. #385C22×C73semidirect
970. #385C22×C73semidirect
971. #383C22×C73semidirect
972. #383C22×C73semidirect
973. #382C22×C73semidirect
977. #381C22×C73semidirect
982. C4×C4⋊C4C22×C73semidirect
983. C4×C4⋊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. C4×C22⋊C4C22×C73semidirect
1278. C22×C4#41×C73semidirect
1373. C22⋊C4#41×C73semidirect

Maximal subgroups

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

subgroupindex
C73×#28522
C73×#28502
C73×#28492
C73×#28472
C73×#26652
C73×#26612
C73×#26532
C73×#26482
C73×#25782
C73×#25762
C73×#25742
C73×#25722
C73×#25592
C73×#25572
C73×#25552
C73×#25542
C73×#25102
C73×#24722
C73×#24442
C73×#24382
C73×#24302
C73×#24242
C73×#24112
C73×#24042
C73×#23372
C73×#23352
C73×#23332
C4×#123×C732
C73×#22972
C2×C4×C22⋊C4×C732
#3505373