Finite Group Databasebeta

← C73×#36795 #32946199

Subgroups — C73×#36795 #32946199

Order 18688.

1950 conjugacy classes of subgroups.

The subgroup lattice has 1590 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×#2808C211yesmaximal, characteristic, complemented
4C73×#2803C211yesmaximal, characteristic, complemented
5C73×#2803C211yesmaximal, characteristic, complemented
6C73×#2786C211yesmaximal, characteristic, complemented
7C73×#2781C211yesmaximal, characteristic, complemented
8C73×#2779C211yesmaximal, characteristic, complemented
9C73×#2778C211yesmaximal, characteristic, complemented
10C73×#2775C211yesmaximal, characteristic, complemented
11C73×#2759C211yesmaximal, characteristic, complemented
12C73×#2756C211yesmaximal, characteristic, complemented
13C73×#2756C211yesmaximal, characteristic, complemented
14C73×#2751C211yesmaximal, characteristic, complemented
15C73×#2733C211yesmaximal, characteristic, complemented
16C73×#2715C211yesmaximal, characteristic, complemented
17C73×#2714C211yesmaximal, characteristic, complemented
18C73×#2686C211yesmaximal, characteristic, complemented
19C73×#2622C211yesmaximal, characteristic, complemented
20C73×#2617C211yesmaximal, characteristic, complemented
21C73×#2510C211yesmaximal, characteristic, complemented
22C73×#2472C211yesmaximal, characteristic, complemented
23C73×#2444C211yesmaximal, characteristic, complemented
24C73×#2438C211yesmaximal, characteristic, complemented
25C73×#2430C211yesmaximal, characteristic, complemented
26C73×#2424C211yesmaximal, characteristic, complemented
27C73×#2411C211yesmaximal, characteristic, complemented
28C73×#2404C211yesmaximal, characteristic, complemented
29C73×#2322C211yesmaximal, characteristic, complemented
30C73×#2311C211yesmaximal, characteristic, complemented
31C2×#388×C73C211yesmaximal, characteristic, complemented
32C22×#41×C73C2211yescharacteristic
33C2×#126×C73C2211yescharacteristic, complemented
34C2×#124×C73C2211yescharacteristic
35C2×#124×C73C2211yescharacteristic, complemented
36C2×#123×C73C2211yescharacteristic
37C2×C22⋊Q8×C73C2211yescharacteristic
38C2×#121×C73C2211yescharacteristic
39C2×#121×C73C2211yescharacteristic
40C2×#121×C73C2211yescharacteristic
41C2×#120×C73C2211yescharacteristic
42C2×#120×C73C2211yescharacteristic
43C2×#120×C73C2211yescharacteristic
44C2×C4×D4×C73C2211yescharacteristic
45C2×#117×C73C2211yescharacteristic
46C22×C4⋊C4×C73C2211yescharacteristic
47C22×C22⋊C4×C73C2211yescharacteristic
48C22×C22⋊C4×C73C2211yescharacteristic
49C22×C22⋊C4×C73C2211yescharacteristic
50C22×C42×C73C2211yescharacteristic
51#401×C73C2211yescharacteristic, complemented
52#400×C73C2211yescharacteristic, complemented
53#400×C73C2211yescharacteristic, complemented
54#400×C73C2211yescharacteristic, complemented
55#398×C73C2211yescharacteristic, complemented
56#398×C73C2211yescharacteristic, complemented
57#397×C73C2211yescharacteristic
58#397×C73C2211yescharacteristic
59#397×C73C2211yescharacteristic
60#397×C73C2211yescharacteristic
61#397×C73C2211yescharacteristic
62#397×C73C2211yescharacteristic
63#397×C73C2211yescharacteristic
64#397×C73C2211yescharacteristic, complemented
65#397×C73C2211yescharacteristic, complemented
66#397×C73C2211yescharacteristic, complemented
67#397×C73C2211yescharacteristic, complemented
68#396×C73C2211yescharacteristic
69#396×C73C2211yescharacteristic
70#396×C73C2211yescharacteristic
71#395×C73C2211yescharacteristic, complemented
72#395×C73C2211yescharacteristic, complemented
73#394×C73C2211yescharacteristic
74#394×C73C2211yescharacteristic
75#394×C73C2211yescharacteristic
76#394×C73C2211yescharacteristic
77#394×C73C2211yescharacteristic
78#394×C73C2211yescharacteristic
79#394×C73C2211yescharacteristic
80#394×C73C2211yescharacteristic
81#394×C73C2211yescharacteristic
82#394×C73C2211yescharacteristic
83#394×C73C2211yescharacteristic
84#394×C73C2211yescharacteristic
85#394×C73C2211yescharacteristic
86#394×C73C2211yescharacteristic
87#394×C73C2211yescharacteristic, complemented
88#394×C73C2211yescharacteristic, complemented
89#393×C73C2211yescharacteristic
90#393×C73C2211yescharacteristic
91#393×C73C2211yescharacteristic
92#393×C73C2211yescharacteristic, complemented
93#392×C73C2211yescharacteristic
94#392×C73C2211yescharacteristic
95#392×C73C2211yescharacteristic
96#392×C73C2211yescharacteristic
97#392×C73C2211yescharacteristic
98#392×C73C2211yescharacteristic, complemented
99#391×C73C2211yescharacteristic, complemented
100#391×C73C2211yescharacteristic, complemented
101#391×C73C2211yescharacteristic, complemented
102#391×C73C2211yescharacteristic, complemented
103#390×C73C2211yescharacteristic
104#390×C73C2211yescharacteristic
105#390×C73C2211yescharacteristic
106#390×C73C2211yescharacteristic
107#390×C73C2211yescharacteristic, complemented
108#390×C73C2211yescharacteristic, complemented
109#390×C73C2211yescharacteristic, complemented
110#389×C73C2211yescharacteristic, complemented
111#389×C73C2211yescharacteristic, complemented
112#389×C73C2211yescharacteristic, complemented
113#388×C73C2211yescharacteristic
114#388×C73C2211yescharacteristic
115#388×C73C2211yescharacteristic
116#388×C73C2211yescharacteristic
117#388×C73C2211yescharacteristic
118#388×C73C2211yescharacteristic
119#388×C73C2211yescharacteristic
120#388×C73C2211yescharacteristic
121#388×C73C2211yescharacteristic
122#388×C73C2211yescharacteristic
123#388×C73C2211yescharacteristic
124#388×C73C2211yescharacteristic
125#388×C73C2211yescharacteristic
126#388×C73C2211yescharacteristic, complemented
127#388×C73C2211yescharacteristic, complemented
128#388×C73C2211yescharacteristic, complemented
129#388×C73C2211yescharacteristic, complemented
130#388×C73C2211yescharacteristic, complemented
131#388×C73C2211yescharacteristic, complemented
132#388×C73C2211yescharacteristic, complemented
133#388×C73C2211yescharacteristic, complemented
134#388×C73C2211yescharacteristic, complemented
135#388×C73C2211yescharacteristic, complemented
136#388×C73C2211yescharacteristic, complemented
137#388×C73C2211yescharacteristic, complemented
138#387×C73C2211yescharacteristic, complemented
139#387×C73C2211yescharacteristic, complemented
140#387×C73C2211yescharacteristic, complemented
141#387×C73C2211yescharacteristic, complemented
142#387×C73C2211yescharacteristic, complemented
143#387×C73C2211yescharacteristic, complemented
144#387×C73C2211yescharacteristic, complemented
145#387×C73C2211yescharacteristic, complemented
146#387×C73C2211yescharacteristic, complemented
147#386×C73C2211yescharacteristic
148#386×C73C2211yescharacteristic
149#386×C73C2211yescharacteristic
150#386×C73C2211yescharacteristic
151#386×C73C2211yescharacteristic
152#386×C73C2211yescharacteristic
153#386×C73C2211yescharacteristic
154#386×C73C2211yescharacteristic
155#386×C73C2211yescharacteristic
156#386×C73C2211yescharacteristic
157#386×C73C2211yescharacteristic
158#386×C73C2211yescharacteristic
159#386×C73C2211yescharacteristic
160#386×C73C2211yescharacteristic
161#386×C73C2211yescharacteristic
162#386×C73C2211yescharacteristic, complemented
163#386×C73C2211yescharacteristic, complemented
164#386×C73C2211yescharacteristic, complemented
165#385×C73C2211yescharacteristic
166#385×C73C2211yescharacteristic
167#385×C73C2211yescharacteristic
168#385×C73C2211yescharacteristic
169#385×C73C2211yescharacteristic, complemented
170#385×C73C2211yescharacteristic, complemented
171#385×C73C2211yescharacteristic, complemented
172#385×C73C2211yescharacteristic, complemented
173#383×C73C2211yescharacteristic, complemented
174#383×C73C2211yescharacteristic, complemented
175#382×C73C2211yescharacteristic, complemented
176#381×C73C2211yescharacteristic
177#381×C73C2211yescharacteristic, complemented
178#380×C73C2211yescharacteristic
179#380×C73C2211yescharacteristic, complemented
180#380×C73C2211yescharacteristic, complemented
181#380×C73C2211yescharacteristic, complemented
182#380×C73C2211yescharacteristic, complemented
183#379×C73C2211yescharacteristic
184C4×C22⋊C4×C73C2211yescharacteristic
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×C73C2311yescharacteristic
206C23×C4×C73C2311yescharacteristic
207C23×C4×C73C2311yescharacteristic
208C23×C4×C73C2311yescharacteristic
209C23×C4×C73C2311yescharacteristic
210C23×C4×C73C2311yescharacteristic
211C23×C4×C73C2311yescharacteristic
212C23×C4×C73C2311yescharacteristic
213C23×C4×C73C2311yescharacteristic
214#126×C73—42no—
215#124×C73—42no—
216#124×C73—42no—
217#123×C73—24no—
218C22⋊Q8×C73—42no—
219#121×C73—42no—
220#121×C73—42no—
221#121×C73—42no—
222#120×C73—42no—
223#120×C73—42no—
224#120×C73—42no—
225C4×D4×C73—42no—
226#117×C73—42no—
227C2×C4⋊C4×C73—42no—
228C2×C4⋊C4×C73C2311yescharacteristic
229C2×C4⋊C4×C73C2311yescharacteristic
230C2×C4⋊C4×C73C2311yescharacteristic
231C2×C4⋊C4×C73C2311yescharacteristic
232C2×C4⋊C4×C73C2311yescharacteristic
233C2×C4⋊C4×C73C2311yescharacteristic
234C2×C4⋊C4×C73C2311yescharacteristic
235C2×C4⋊C4×C73C2311yescharacteristic
236C2×C4⋊C4×C73C2311yescharacteristic
237C2×C4⋊C4×C73C2311yescharacteristic
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×C22⋊C4×C73—24no—
253C2×C22⋊C4×C73—42no—
254C2×C22⋊C4×C73—42no—
255C2×C22⋊C4×C73C2311yescharacteristic
256C2×C22⋊C4×C73C2311yescharacteristic
257C2×C22⋊C4×C73C2311yescharacteristic
258C2×C22⋊C4×C73C2311yescharacteristic
259C2×C22⋊C4×C73C2311yescharacteristic
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×C42×C73—42no—
310C2×C42×C73C2311yescharacteristic
311C2×C42×C73C2311yescharacteristic
312C2×C42×C73C2311yescharacteristic
313C2×C42×C73C2311yescharacteristic
314C2×C42×C73C2311yescharacteristic
315C2×C42×C73C2311yescharacteristic
316C2×C42×C73C2311yescharacteristic
317C2×C42×C73C2311yescharacteristic
318C2×C42×C73C2311yescharacteristic
319#95×C73C2311yescharacteristic
320#95×C73C2311yescharacteristic
321#95×C73C2311yescharacteristic
322#95×C73C2311yescharacteristic
323#95×C73C2311yescharacteristic
324#95×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
363C24×C73—22no—
364C24×C73—22no—
365C24×C73—22no—
366C24×C73—41no—
367C24×C73—41no—
368C24×C73—41no—
369C24×C73—41no—
370C24×C73C2411yescharacteristic
371C24×C73C2411yescharacteristic
372C24×C73C2411yescharacteristic
373C24×C73C2411yescharacteristic
374C24×C73C2411yescharacteristic
375C24×C73C2411yescharacteristic
376#41×C73—416no—
377C2×Q8×C73—22no—
378C2×Q8×C73—22no—
379C2×Q8×C73—41no—
380C2×Q8×C73—41no—
381C2×Q8×C73—41no—
382C2×Q8×C73—41no—
383C2×D4×C73—22no—
384C2×D4×C73—22no—
385C2×D4×C73—22no—
386C2×D4×C73—22no—
387C2×D4×C73—22no—
388C2×D4×C73—22no—
389C2×D4×C73—22no—
390C2×D4×C73—22no—
391C2×D4×C73—22no—
392C2×D4×C73—22no—
393C2×D4×C73—22no—
394C2×D4×C73—41no—
395C2×D4×C73—41no—
396C2×D4×C73—41no—
397C2×D4×C73—41no—
398C2×D4×C73—41no—
399C2×D4×C73—41no—
400C2×D4×C73—41no—
401C2×D4×C73—41no—
402C2×D4×C73—41no—
403C2×D4×C73—41no—
404C2×D4×C73—41no—
405C2×D4×C73—41no—
406C2×D4×C73—41no—
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—
419C22×C4×C73—22no—
420C22×C4×C73—22no—
421C22×C4×C73—22no—
422C22×C4×C73—22no—
423C22×C4×C73—22no—
424C22×C4×C73—22no—
425C22×C4×C73—22no—
426C22×C4×C73—22no—
427C22×C4×C73—22no—
428C22×C4×C73—22no—
429C22×C4×C73—41no—
430C22×C4×C73—41no—
431C22×C4×C73—41no—
432C22×C4×C73—41no—
433C22×C4×C73—41no—
434C22×C4×C73—41no—
435C22×C4×C73—41no—
436C22×C4×C73—41no—
437C22×C4×C73—41no—
438C22×C4×C73—41no—
439C22×C4×C73—41no—
440C22×C4×C73—41no—
441C22×C4×C73—41no—
442C22×C4×C73—41no—
443C22×C4×C73—41no—
444C22×C4×C73—41no—
445C22×C4×C73#4114yes—
446C22×C4×C73C2411yescharacteristic
447C22×C4×C73C2411yescharacteristic
448C22×C4×C73C2411yescharacteristic
449C22×C4×C73C2411yescharacteristic
450C22×C4×C73C2411yescharacteristic
451C22×C4×C73C2411yescharacteristic
452C22×C4×C73C2411yescharacteristic
453C22×C4×C73C2411yescharacteristic
454C22×C4×C73C2411yescharacteristic
455C22×C4×C73C2411yescharacteristic
456C22×C4×C73C2411yescharacteristic
457C22×C4×C73C2411yescharacteristic
458C22×C4×C73C2411yescharacteristic
459C22×C4×C73C2411yescharacteristic
460C22×C4×C73C2411yescharacteristic
461C22×C4×C73C2411yescharacteristic
462C22×C4×C73C2411yescharacteristic
463C22×C4×C73C2411yescharacteristic
464C22×C4×C73C2411yescharacteristic
465C22×C4×C73C2411yescharacteristic
466C22×C4×C73C2411yescharacteristic
467C22×C4×C73C2411yescharacteristic
468C22×C4×C73C2411yescharacteristic
469C22×C4×C73C2411yescharacteristic
470C22×C4×C73C2411yescharacteristic
471C4⋊C4×C73—22no—
472C4⋊C4×C73—22no—
473C4⋊C4×C73—22no—
474C4⋊C4×C73—41no—
475C4⋊C4×C73—41no—
476C4⋊C4×C73—41no—
477C4⋊C4×C73—41no—
478C4⋊C4×C73—41no—
479C4⋊C4×C73—41no—
480C4⋊C4×C73—41no—
481C4⋊C4×C73—41no—
482C4⋊C4×C73—41no—
483C4⋊C4×C73—41no—
484C4⋊C4×C73—41no—
485C4⋊C4×C73—41no—
486C4⋊C4×C73—41no—
487C4⋊C4×C73—41no—
488C4⋊C4×C73—41no—
489C4⋊C4×C73—41no—
490C4⋊C4×C73—41no—
491C4⋊C4×C73—41no—
492C4⋊C4×C73—41no—
493C4⋊C4×C73—41no—
494C4⋊C4×C73—41no—
495C22⋊C4×C73—22no—
496C22⋊C4×C73—22no—
497C22⋊C4×C73—22no—
498C22⋊C4×C73—22no—
499C22⋊C4×C73—22no—
500C22⋊C4×C73—22no—
501C22⋊C4×C73—22no—
502C22⋊C4×C73—22no—
503C22⋊C4×C73—22no—
504C22⋊C4×C73—22no—
505C22⋊C4×C73—22no—
506C22⋊C4×C73—22no—
507C22⋊C4×C73—22no—
508C22⋊C4×C73—22no—
509C22⋊C4×C73—41no—
510C22⋊C4×C73—41no—
511C22⋊C4×C73—41no—
512C22⋊C4×C73—41no—
513C22⋊C4×C73—41no—
514C22⋊C4×C73—41no—
515C22⋊C4×C73—41no—
516C22⋊C4×C73—41no—
517C22⋊C4×C73—41no—
518C22⋊C4×C73—41no—
519C22⋊C4×C73—41no—
520C22⋊C4×C73—41no—
521C22⋊C4×C73—41no—
522C22⋊C4×C73—41no—
523C22⋊C4×C73—41no—
524C22⋊C4×C73—41no—
525C22⋊C4×C73—41no—
526C22⋊C4×C73—41no—
527C22⋊C4×C73—41no—
528C22⋊C4×C73—41no—
529C22⋊C4×C73—41no—
530C22⋊C4×C73—41no—
531C22⋊C4×C73—41no—
532C22⋊C4×C73—41no—
533C22⋊C4×C73—41no—
534C22⋊C4×C73—41no—
535C22⋊C4×C73—41no—
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—
549C42×C73—22no—
550C42×C73—22no—
551C42×C73—41no—
552C42×C73—41no—
553C42×C73—41no—
554C42×C73—41no—
555C42×C73—41no—
556C42×C73—41no—
557C42×C73—41no—
558C23×C73—21no—
559C23×C73—21no—
560C23×C73—21no—
561C23×C73—21no—
562C23×C73—21no—
563C23×C73—21no—
564C23×C73—21no—
565C23×C73—21no—
566C23×C73—21no—
567C23×C73—21no—
568C23×C73—21no—
569C23×C73—21no—
570C23×C73—21no—
571C23×C73—21no—
572C23×C73—21no—
573C23×C73—21no—
574C23×C73—21no—
575C23×C73—21no—
576C23×C73—21no—
577C23×C73—21no—
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—44no—
598C23×C73—44no—
599C23×C73—44no—
600C23×C73—82no—
601C23×C73—82no—
602C23×C73—82no—
603C23×C73—82no—
604C23×C73C2×#4112yes—
605C23×C73H(5,𝔽2)12yes—
606C23×C73H(5,𝔽2)12yes—
607C23×C73C2511yescharacteristic
608Q8×C73—44no—
609Q8×C73—82no—
610D4×C73—44no—
611D4×C73—44no—
612D4×C73—44no—
613D4×C73—44no—
614D4×C73—82no—
615D4×C73—82no—
616D4×C73—82no—
617D4×C73—82no—
618D4×C73—82no—
619D4×C73—82no—
620D4×C73—82no—
621D4×C73—82no—
622C2×C4×C73—28no—
623C2×C4×C73—21no—
624C2×C4×C73—21no—
625C2×C4×C73—21no—
626C2×C4×C73—21no—
627C2×C4×C73—21no—
628C2×C4×C73—21no—
629C2×C4×C73—21no—
630C2×C4×C73—21no—
631C2×C4×C73—21no—
632C2×C4×C73—21no—
633C2×C4×C73—21no—
634C2×C4×C73—21no—
635C2×C4×C73—21no—
636C2×C4×C73—21no—
637C2×C4×C73—21no—
638C2×C4×C73—21no—
639C2×C4×C73—21no—
640C2×C4×C73—21no—
641C2×C4×C73—21no—
642C2×C4×C73—21no—
643C2×C4×C73—21no—
644C2×C4×C73—21no—
645C2×C4×C73—21no—
646C2×C4×C73—21no—
647C2×C4×C73—21no—
648C2×C4×C73—21no—
649C2×C4×C73—21no—
650C2×C4×C73—21no—
651C2×C4×C73—21no—
652C2×C4×C73—21no—
653C2×C4×C73—21no—
654C2×C4×C73—21no—
655C2×C4×C73—21no—
656C2×C4×C73—21no—
657C2×C4×C73—21no—
658C2×C4×C73—21no—
659C2×C4×C73—21no—
660C2×C4×C73—21no—
661C2×C4×C73—21no—
662C2×C4×C73—21no—
663C2×C4×C73—21no—
664C2×C4×C73—21no—
665C2×C4×C73—21no—
666C2×C4×C73—21no—
667C2×C4×C73—21no—
668C2×C4×C73—21no—
669C2×C4×C73—21no—
670C2×C4×C73—21no—
671C2×C4×C73—21no—
672C2×C4×C73—21no—
673C2×C4×C73—21no—
674C2×C4×C73—21no—
675C2×C4×C73—21no—
676C2×C4×C73—21no—
677C2×C4×C73—21no—
678C2×C4×C73—21no—
679C2×C4×C73—21no—
680C2×C4×C73—21no—
681C2×C4×C73—21no—
682C2×C4×C73—21no—
683C2×C4×C73—21no—
684C2×C4×C73—21no—
685C2×C4×C73—21no—
686C2×C4×C73—21no—
687C2×C4×C73—21no—
688C2×C4×C73—21no—
689C2×C4×C73—21no—
690C2×C4×C73—21no—
691C2×C4×C73—21no—
692C2×C4×C73—21no—
693C2×C4×C73—21no—
694C2×C4×C73—21no—
695C2×C4×C73—44no—
696C2×C4×C73—44no—
697C2×C4×C73—44no—
698C2×C4×C73—44no—
699C2×C4×C73—44no—
700C2×C4×C73—82no—
701C2×C4×C73—82no—
702C2×C4×C73—82no—
703C2×C4×C73C2×#4112yes—
704C2×C4×C73C2×#4112yes—
705C2×C4×C73H(5,𝔽2)12yes—
706C22×C73—22no—
707C22×C73—22no—
708C22×C73—22no—
709C22×C73—22no—
710C22×C73—22no—
711C22×C73—22no—
712C22×C73—41no—
713C22×C73—41no—
714C22×C73—41no—
715C22×C73—41no—
716C22×C73—41no—
717C22×C73—41no—
718C22×C73—41no—
719C22×C73—41no—
720C22×C73—41no—
721C22×C73—41no—
722C22×C73—41no—
723C22×C73—41no—
724C22×C73—41no—
725C22×C73—41no—
726C22×C73—41no—
727C22×C73—41no—
728C22×C73—41no—
729C22×C73—41no—
730C22×C73—41no—
731C22×C73—41no—
732C22×C73—41no—
733C22×C73—41no—
734C22×C73—41no—
735C22×C73—41no—
736C22×C73—41no—
737C22×C73—41no—
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—88no—
748C22×C73#53814yes—
749C22×C73C22×#4111yescharacteristic
750C22×C73C2×H(5,𝔽2)11yescharacteristic
751C22×C73C2×H(5,𝔽2)11yescharacteristic
752C22×C73C2×H(5,𝔽2)11yescharacteristic
753C22×C73#58511yescharacteristic
754C22×C73#58511yescharacteristic
755C22×C73#58511yescharacteristic
756C4×C73—22no—
757C4×C73—22no—
758C4×C73—22no—
759C4×C73—41no—
760C4×C73—41no—
761C4×C73—41no—
762C4×C73—41no—
763C4×C73—41no—
764C4×C73—41no—
765C4×C73—41no—
766C4×C73—41no—
767C4×C73—41no—
768C4×C73—41no—
769C4×C73—41no—
770C4×C73—41no—
771C4×C73—41no—
772C4×C73—41no—
773C4×C73—41no—
774C4×C73—41no—
775C4×C73—41no—
776C4×C73—41no—
777C4×C73—41no—
778C4×C73—41no—
779C4×C73—41no—
780C4×C73—41no—
781#36795C7311yesmaximal, characteristic, direct product factor, Sylow
782C2×C73—24no—
783C2×C73—81no—
784C2×C73—81no—
785C2×C73—81no—
786C2×C73—81no—
787C2×C73—81no—
788C2×C73C2×#53811yescharacteristic
789C2×C73#349311yescharacteristic
790C2×C73#350611yescharacteristic
791C2×C73#353411yescharacteristic
792C2×C73#354211yescharacteristic
793C2×C73#354511yescharacteristic
794C2×C73#356011yescharacteristic
795#2852C2×C7311yescharacteristic, complemented
796#2850C2×C7311yescharacteristic, complemented
797#2808C2×C7311yescharacteristic, complemented
798#2803C2×C7311yescharacteristic, complemented
799#2803C2×C7311yescharacteristic, complemented
800#2786C2×C7311yescharacteristic, complemented
801#2781C2×C7311yescharacteristic, complemented
802#2779C2×C7311yescharacteristic, complemented
803#2778C2×C7311yescharacteristic, complemented
804#2775C2×C7311yescharacteristic, complemented
805#2759C2×C7311yescharacteristic, complemented
806#2756C2×C7311yescharacteristic, complemented
807#2756C2×C7311yescharacteristic, complemented
808#2751C2×C7311yescharacteristic, complemented
809#2733C2×C7311yescharacteristic, complemented
810#2715C2×C7311yescharacteristic, complemented
811#2714C2×C7311yescharacteristic, complemented
812#2686C2×C7311yescharacteristic, complemented
813#2622C2×C7311yescharacteristic, complemented
814#2617C2×C7311yescharacteristic, complemented
815#2510C2×C7311yescharacteristic, complemented
816#2472C2×C7311yescharacteristic, complemented
817#2444C2×C7311yescharacteristic, complemented
818#2438C2×C7311yescharacteristic, complemented
819#2430C2×C7311yescharacteristic, complemented
820#2424C2×C7311yescharacteristic, complemented
821#2411C2×C7311yescharacteristic, complemented
822#2404C2×C7311yescharacteristic, complemented
823#2322C2×C7311yescharacteristic, complemented
824#2311C2×C7311yescharacteristic, complemented
825C2×#388C2×C7311yescharacteristic, complemented
826C73#3679511yescharacteristic, direct product factor, Sylow
827C22×#41C22×C7311yescharacteristic
828C2×#126C22×C7311yescharacteristic, complemented
829C2×#124C22×C7311yescharacteristic
830C2×#124C22×C7311yescharacteristic, complemented
831C2×#123C22×C7311yescharacteristic
832C2×C22⋊Q8C22×C7311yescharacteristic
833C2×#121C22×C7311yescharacteristic
834C2×#121C22×C7311yescharacteristic
835C2×#121C22×C7311yescharacteristic
836C2×#120C22×C7311yescharacteristic
837C2×#120C22×C7311yescharacteristic
838C2×#120C22×C7311yescharacteristic
839C2×C4×D4C22×C7311yescharacteristic
840C2×#117C22×C7311yescharacteristic
841C22×C4⋊C4C22×C7311yescharacteristic
842C22×C22⋊C4C22×C7311yescharacteristic
843C22×C22⋊C4C22×C7311yescharacteristic
844C22×C22⋊C4C22×C7311yescharacteristic
845C22×C42C22×C7311yescharacteristic
846#401C22×C7311yescharacteristic, complemented
847#400C22×C7311yescharacteristic, complemented
848#400C22×C7311yescharacteristic, complemented
849#400C22×C7311yescharacteristic, complemented
850#398C22×C7311yescharacteristic, complemented
851#398C22×C7311yescharacteristic, complemented
852#397C22×C7311yescharacteristic
853#397C22×C7311yescharacteristic
854#397C22×C7311yescharacteristic
855#397C22×C7311yescharacteristic
856#397C22×C7311yescharacteristic
857#397C22×C7311yescharacteristic
858#397C22×C7311yescharacteristic
859#397C22×C7311yescharacteristic, complemented
860#397C22×C7311yescharacteristic, complemented
861#397C22×C7311yescharacteristic, complemented
862#397C22×C7311yescharacteristic, complemented
863#396C22×C7311yescharacteristic
864#396C22×C7311yescharacteristic
865#396C22×C7311yescharacteristic
866#395C22×C7311yescharacteristic, complemented
867#395C22×C7311yescharacteristic, complemented
868#394C22×C7311yescharacteristic
869#394C22×C7311yescharacteristic
870#394C22×C7311yescharacteristic
871#394C22×C7311yescharacteristic
872#394C22×C7311yescharacteristic
873#394C22×C7311yescharacteristic
874#394C22×C7311yescharacteristic
875#394C22×C7311yescharacteristic
876#394C22×C7311yescharacteristic
877#394C22×C7311yescharacteristic
878#394C22×C7311yescharacteristic
879#394C22×C7311yescharacteristic
880#394C22×C7311yescharacteristic
881#394C22×C7311yescharacteristic
882#394C22×C7311yescharacteristic, complemented
883#394C22×C7311yescharacteristic, complemented
884#393C22×C7311yescharacteristic
885#393C22×C7311yescharacteristic
886#393C22×C7311yescharacteristic
887#393C22×C7311yescharacteristic, complemented
888#392C22×C7311yescharacteristic
889#392C22×C7311yescharacteristic
890#392C22×C7311yescharacteristic
891#392C22×C7311yescharacteristic
892#392C22×C7311yescharacteristic
893#392C22×C7311yescharacteristic, complemented
894#391C22×C7311yescharacteristic, complemented
895#391C22×C7311yescharacteristic, complemented
896#391C22×C7311yescharacteristic, complemented
897#391C22×C7311yescharacteristic, complemented
898#390C22×C7311yescharacteristic
899#390C22×C7311yescharacteristic
900#390C22×C7311yescharacteristic
901#390C22×C7311yescharacteristic
902#390C22×C7311yescharacteristic, complemented
903#390C22×C7311yescharacteristic, complemented
904#390C22×C7311yescharacteristic, complemented
905#389C22×C7311yescharacteristic, complemented
906#389C22×C7311yescharacteristic, complemented
907#389C22×C7311yescharacteristic, complemented
908#388C22×C7311yescharacteristic
909#388C22×C7311yescharacteristic
910#388C22×C7311yescharacteristic
911#388C22×C7311yescharacteristic
912#388C22×C7311yescharacteristic
913#388C22×C7311yescharacteristic
914#388C22×C7311yescharacteristic
915#388C22×C7311yescharacteristic
916#388C22×C7311yescharacteristic
917#388C22×C7311yescharacteristic
918#388C22×C7311yescharacteristic
919#388C22×C7311yescharacteristic
920#388C22×C7311yescharacteristic
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#388C22×C7311yescharacteristic, complemented
931#388C22×C7311yescharacteristic, complemented
932#388C22×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#387C22×C7311yescharacteristic, complemented
940#387C22×C7311yescharacteristic, complemented
941#387C22×C7311yescharacteristic, complemented
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, complemented
958#386C22×C7311yescharacteristic, complemented
959#386C22×C7311yescharacteristic, complemented
960#385C22×C7311yescharacteristic
961#385C22×C7311yescharacteristic
962#385C22×C7311yescharacteristic
963#385C22×C7311yescharacteristic
964#385C22×C7311yescharacteristic, complemented
965#385C22×C7311yescharacteristic, complemented
966#385C22×C7311yescharacteristic, complemented
967#385C22×C7311yescharacteristic, complemented
968#383C22×C7311yescharacteristic, complemented
969#383C22×C7311yescharacteristic, complemented
970#382C22×C7311yescharacteristic, complemented
971#381C22×C7311yescharacteristic
972#381C22×C7311yescharacteristic, complemented
973#380C22×C7311yescharacteristic
974#380C22×C7311yescharacteristic, complemented
975#380C22×C7311yescharacteristic, complemented
976#380C22×C7311yescharacteristic, complemented
977#380C22×C7311yescharacteristic, complemented
978#379C22×C7311yescharacteristic
979C4×C22⋊C4C22×C7311yescharacteristic
980C2×#95C22×C7311yescharacteristic
981C2×#95C22×C7311yescharacteristic
982C25C23×C7311yescharacteristic
983C2×#41—24no—
984C2×#41—42no—
985C2×#41—42no—
986C22×Q8C23×C7311yescharacteristic
987C22×Q8C23×C7311yescharacteristic
988C22×D4C23×C7311yescharacteristic
989C22×D4C23×C7311yescharacteristic
990C22×D4C23×C7311yescharacteristic
991C22×D4C23×C7311yescharacteristic
992C22×D4C23×C7311yescharacteristic
993C22×D4C23×C7311yescharacteristic
994C22×D4C23×C7311yescharacteristic
995C22×D4C23×C7311yescharacteristic
996C22×D4C23×C7311yescharacteristic
997C22×D4C23×C7311yescharacteristic
998C22×D4C23×C7311yescharacteristic
999C22×D4C23×C7311yescharacteristic
1000C23×C4C23×C7311yescharacteristic
1001C23×C4C23×C7311yescharacteristic
1002C23×C4C23×C7311yescharacteristic
1003C23×C4C23×C7311yescharacteristic
1004C23×C4C23×C7311yescharacteristic
1005C23×C4C23×C7311yescharacteristic
1006C23×C4C23×C7311yescharacteristic
1007C23×C4C23×C7311yescharacteristic
1008C23×C4C23×C7311yescharacteristic
1009#126—42no—
1010#124—42no—
1011#124—42no—
1012#123—24no—
1013C22⋊Q8—42no—
1014#121—42no—
1015#121—42no—
1016#121—42no—
1017#120—42no—
1018#120—42no—
1019#120—42no—
1020C4×D4—42no—
1021#117—42no—
1022C2×C4⋊C4—42no—
1023C2×C4⋊C4C23×C7311yescharacteristic
1024C2×C4⋊C4C23×C7311yescharacteristic
1025C2×C4⋊C4C23×C7311yescharacteristic
1026C2×C4⋊C4C23×C7311yescharacteristic
1027C2×C4⋊C4C23×C7311yescharacteristic
1028C2×C4⋊C4C23×C7311yescharacteristic
1029C2×C4⋊C4C23×C7311yescharacteristic
1030C2×C4⋊C4C23×C7311yescharacteristic
1031C2×C4⋊C4C23×C7311yescharacteristic
1032C2×C4⋊C4C23×C7311yescharacteristic
1033C2×C4⋊C4C23×C7311yescharacteristic
1034C2×C4⋊C4C23×C7311yescharacteristic
1035C2×C4⋊C4C23×C7311yescharacteristic
1036C2×C4⋊C4C23×C7311yescharacteristic
1037C2×C4⋊C4C23×C7311yescharacteristic
1038C2×C4⋊C4C23×C7311yescharacteristic
1039C2×C4⋊C4C23×C7311yescharacteristic
1040C2×C4⋊C4C23×C7311yescharacteristic
1041C2×C4⋊C4C23×C7311yescharacteristic
1042C2×C4⋊C4C23×C7311yescharacteristic
1043C2×C4⋊C4C23×C7311yescharacteristic
1044C2×C4⋊C4C23×C7311yescharacteristic
1045C2×C4⋊C4C23×C7311yescharacteristic
1046C2×C4⋊C4C23×C7311yescharacteristic
1047C2×C22⋊C4—24no—
1048C2×C22⋊C4—42no—
1049C2×C22⋊C4—42no—
1050C2×C22⋊C4C23×C7311yescharacteristic
1051C2×C22⋊C4C23×C7311yescharacteristic
1052C2×C22⋊C4C23×C7311yescharacteristic
1053C2×C22⋊C4C23×C7311yescharacteristic
1054C2×C22⋊C4C23×C7311yescharacteristic
1055C2×C22⋊C4C23×C7311yescharacteristic
1056C2×C22⋊C4C23×C7311yescharacteristic
1057C2×C22⋊C4C23×C7311yescharacteristic
1058C2×C22⋊C4C23×C7311yescharacteristic
1059C2×C22⋊C4C23×C7311yescharacteristic
1060C2×C22⋊C4C23×C7311yescharacteristic
1061C2×C22⋊C4C23×C7311yescharacteristic
1062C2×C22⋊C4C23×C7311yescharacteristic
1063C2×C22⋊C4C23×C7311yescharacteristic
1064C2×C22⋊C4C23×C7311yescharacteristic
1065C2×C22⋊C4C23×C7311yescharacteristic
1066C2×C22⋊C4C23×C7311yescharacteristic
1067C2×C22⋊C4C23×C7311yescharacteristic
1068C2×C22⋊C4C23×C7311yescharacteristic
1069C2×C22⋊C4C23×C7311yescharacteristic
1070C2×C22⋊C4C23×C7311yescharacteristic
1071C2×C22⋊C4C23×C7311yescharacteristic
1072C2×C22⋊C4C23×C7311yescharacteristic
1073C2×C22⋊C4C23×C7311yescharacteristic
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×C42—42no—
1105C2×C42C23×C7311yescharacteristic
1106C2×C42C23×C7311yescharacteristic
1107C2×C42C23×C7311yescharacteristic
1108C2×C42C23×C7311yescharacteristic
1109C2×C42C23×C7311yescharacteristic
1110C2×C42C23×C7311yescharacteristic
1111C2×C42C23×C7311yescharacteristic
1112C2×C42C23×C7311yescharacteristic
1113C2×C42C23×C7311yescharacteristic
1114#95C23×C7311yescharacteristic
1115#95C23×C7311yescharacteristic
1116#95C23×C7311yescharacteristic
1117#95C23×C7311yescharacteristic
1118#95C23×C7311yescharacteristic
1119#95C23×C7311yescharacteristic
1120#95C23×C7311yescharacteristic
1121#95C23×C7311yescharacteristic
1122#95C23×C7311yescharacteristic
1123#95C23×C7311yescharacteristic
1124#95C23×C7311yescharacteristic
1125#95C23×C7311yescharacteristic
1126#95C23×C7311yescharacteristic
1127#95C23×C7311yescharacteristic
1128#95C23×C7311yescharacteristic
1129#95C23×C7311yescharacteristic
1130#95C23×C7311yescharacteristic
1131#95C23×C7311yescharacteristic
1132#95C23×C7311yescharacteristic
1133#95C23×C7311yescharacteristic
1134#95C23×C7311yescharacteristic
1135#95C23×C7311yescharacteristic
1136#95C23×C7311yescharacteristic
1137#95C23×C7311yescharacteristic
1138#95C23×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
1158C24—22no—
1159C24—22no—
1160C24—22no—
1161C24—41no—
1162C24—41no—
1163C24—41no—
1164C24—41no—
1165C24C24×C7311yescharacteristic
1166C24C24×C7311yescharacteristic
1167C24C24×C7311yescharacteristic
1168C24C24×C7311yescharacteristic
1169C24C24×C7311yescharacteristic
1170C24C24×C7311yescharacteristic
1171#41—416no—
1172C2×Q8—22no—
1173C2×Q8—22no—
1174C2×Q8—41no—
1175C2×Q8—41no—
1176C2×Q8—41no—
1177C2×Q8—41no—
1178C2×D4—22no—
1179C2×D4—22no—
1180C2×D4—22no—
1181C2×D4—22no—
1182C2×D4—22no—
1183C2×D4—22no—
1184C2×D4—22no—
1185C2×D4—22no—
1186C2×D4—22no—
1187C2×D4—22no—
1188C2×D4—22no—
1189C2×D4—41no—
1190C2×D4—41no—
1191C2×D4—41no—
1192C2×D4—41no—
1193C2×D4—41no—
1194C2×D4—41no—
1195C2×D4—41no—
1196C2×D4—41no—
1197C2×D4—41no—
1198C2×D4—41no—
1199C2×D4—41no—
1200C2×D4—41no—
1201C2×D4—41no—
1202C2×D4—41no—
1203C2×D4—41no—
1204C2×D4—41no—
1205C2×D4—41no—
1206C2×D4—41no—
1207C2×D4—41no—
1208C2×D4—41no—
1209C2×D4—41no—
1210C2×D4—41no—
1211C2×D4—41no—
1212C2×D4—41no—
1213C2×D4—41no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—22no—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—22no—
1224C22×C4—41no—
1225C22×C4—41no—
1226C22×C4—41no—
1227C22×C4—41no—
1228C22×C4—41no—
1229C22×C4—41no—
1230C22×C4—41no—
1231C22×C4—41no—
1232C22×C4—41no—
1233C22×C4—41no—
1234C22×C4—41no—
1235C22×C4—41no—
1236C22×C4—41no—
1237C22×C4—41no—
1238C22×C4—41no—
1239C22×C4—41no—
1240C22×C4#41×C7314yes—
1241C22×C4C24×C7311yescharacteristic
1242C22×C4C24×C7311yescharacteristic
1243C22×C4C24×C7311yescharacteristic
1244C22×C4C24×C7311yescharacteristic
1245C22×C4C24×C7311yescharacteristic
1246C22×C4C24×C7311yescharacteristic
1247C22×C4C24×C7311yescharacteristic
1248C22×C4C24×C7311yescharacteristic
1249C22×C4C24×C7311yescharacteristic
1250C22×C4C24×C7311yescharacteristic
1251C22×C4C24×C7311yescharacteristic
1252C22×C4C24×C7311yescharacteristic
1253C22×C4C24×C7311yescharacteristic
1254C22×C4C24×C7311yescharacteristic
1255C22×C4C24×C7311yescharacteristic
1256C22×C4C24×C7311yescharacteristic
1257C22×C4C24×C7311yescharacteristic
1258C22×C4C24×C7311yescharacteristic
1259C22×C4C24×C7311yescharacteristic
1260C22×C4C24×C7311yescharacteristic
1261C22×C4C24×C7311yescharacteristic
1262C22×C4C24×C7311yescharacteristic
1263C22×C4C24×C7311yescharacteristic
1264C22×C4C24×C7311yescharacteristic
1265C22×C4C24×C7311yescharacteristic
1266C4⋊C4—22no—
1267C4⋊C4—22no—
1268C4⋊C4—22no—
1269C4⋊C4—41no—
1270C4⋊C4—41no—
1271C4⋊C4—41no—
1272C4⋊C4—41no—
1273C4⋊C4—41no—
1274C4⋊C4—41no—
1275C4⋊C4—41no—
1276C4⋊C4—41no—
1277C4⋊C4—41no—
1278C4⋊C4—41no—
1279C4⋊C4—41no—
1280C4⋊C4—41no—
1281C4⋊C4—41no—
1282C4⋊C4—41no—
1283C4⋊C4—41no—
1284C4⋊C4—41no—
1285C4⋊C4—41no—
1286C4⋊C4—41no—
1287C4⋊C4—41no—
1288C4⋊C4—41no—
1289C4⋊C4—41no—
1290C22⋊C4—22no—
1291C22⋊C4—22no—
1292C22⋊C4—22no—
1293C22⋊C4—22no—
1294C22⋊C4—22no—
1295C22⋊C4—22no—
1296C22⋊C4—22no—
1297C22⋊C4—22no—
1298C22⋊C4—22no—
1299C22⋊C4—22no—
1300C22⋊C4—22no—
1301C22⋊C4—22no—
1302C22⋊C4—22no—
1303C22⋊C4—22no—
1304C22⋊C4—41no—
1305C22⋊C4—41no—
1306C22⋊C4—41no—
1307C22⋊C4—41no—
1308C22⋊C4—41no—
1309C22⋊C4—41no—
1310C22⋊C4—41no—
1311C22⋊C4—41no—
1312C22⋊C4—41no—
1313C22⋊C4—41no—
1314C22⋊C4—41no—
1315C22⋊C4—41no—
1316C22⋊C4—41no—
1317C22⋊C4—41no—
1318C22⋊C4—41no—
1319C22⋊C4—41no—
1320C22⋊C4—41no—
1321C22⋊C4—41no—
1322C22⋊C4—41no—
1323C22⋊C4—41no—
1324C22⋊C4—41no—
1325C22⋊C4—41no—
1326C22⋊C4—41no—
1327C22⋊C4—41no—
1328C22⋊C4—41no—
1329C22⋊C4—41no—
1330C22⋊C4—41no—
1331C22⋊C4—41no—
1332C22⋊C4—41no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4—41no—
1342C22⋊C4—41no—
1343C22⋊C4—41no—
1344C42—22no—
1345C42—22no—
1346C42—41no—
1347C42—41no—
1348C42—41no—
1349C42—41no—
1350C42—41no—
1351C42—41no—
1352C42—41no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—21no—
1376C23—21no—
1377C23—21no—
1378C23—21no—
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—44no—
1393C23—44no—
1394C23—44no—
1395C23—82no—
1396C23—82no—
1397C23—82no—
1398C23—82no—
1399C23C2×#41×C7312yes—
1400C23H(5,𝔽2)×C7312yes—
1401C23H(5,𝔽2)×C7312yes—
1402C23C25×C7311yescharacteristic
1403Q8—44no—
1404Q8—82no—
1405D4—44no—
1406D4—44no—
1407D4—44no—
1408D4—44no—
1409D4—82no—
1410D4—82no—
1411D4—82no—
1412D4—82no—
1413D4—82no—
1414D4—82no—
1415D4—82no—
1416D4—82no—
1417C2×C4—28no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—44no—
1491C2×C4—44no—
1492C2×C4—44no—
1493C2×C4—44no—
1494C2×C4—44no—
1495C2×C4—82no—
1496C2×C4—82no—
1497C2×C4—82no—
1498C2×C4C2×#41×C7312yes—
1499C2×C4C2×#41×C7312yes—
1500C2×C4H(5,𝔽2)×C7312yes—
1501C22—22no—
1502C22—22no—
1503C22—22no—
1504C22—22no—
1505C22—22no—
1506C22—22no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—41no—
1521C22—41no—
1522C22—41no—
1523C22—41no—
1524C22—41no—
1525C22—41no—
1526C22—41no—
1527C22—41no—
1528C22—41no—
1529C22—41no—
1530C22—41no—
1531C22—41no—
1532C22—41no—
1533C22—41no—
1534C22—41no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—88no—
1543C22#538×C7314yes—
1544C22C22×#41×C7311yescharacteristic
1545C22C2×H(5,𝔽2)×C7311yescharacteristic
1546C22C2×H(5,𝔽2)×C7311yescharacteristic
1547C22C2×H(5,𝔽2)×C7311yescharacteristic
1548C22#585×C7311yescharacteristic
1549C22#585×C7311yescharacteristic
1550C22#585×C7311yescharacteristic
1551C4—22no—
1552C4—22no—
1553C4—22no—
1554C4—41no—
1555C4—41no—
1556C4—41no—
1557C4—41no—
1558C4—41no—
1559C4—41no—
1560C4—41no—
1561C4—41no—
1562C4—41no—
1563C4—41no—
1564C4—41no—
1565C4—41no—
1566C4—41no—
1567C4—41no—
1568C4—41no—
1569C4—41no—
1570C4—41no—
1571C4—41no—
1572C4—41no—
1573C4—41no—
1574C4—41no—
1575C4—41no—
1576C2—24no—
1577C2—81no—
1578C2—81no—
1579C2—81no—
1580C2—81no—
1581C2—81no—
1582C2C2×#538×C7311yescharacteristic
1583C2C73×#349311yescharacteristic
1584C2C73×#350611yescharacteristic
1585C2C73×#353411yescharacteristic
1586C2C73×#354211yescharacteristic
1587C2C73×#354511yescharacteristic
1588C2C73×#356011yescharacteristic
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×#2808C2semidirect
4. C73×#2803C2semidirect
5. C73×#2803C2semidirect
6. C73×#2786C2semidirect
7. C73×#2781C2semidirect
8. C73×#2779C2semidirect
9. C73×#2778C2semidirect
10. C73×#2775C2semidirect
11. C73×#2759C2semidirect
12. C73×#2756C2semidirect
13. C73×#2756C2semidirect
14. C73×#2751C2semidirect
15. C73×#2733C2semidirect
16. C73×#2715C2semidirect
17. C73×#2714C2semidirect
18. C73×#2686C2semidirect
19. C73×#2622C2semidirect
20. C73×#2617C2semidirect
21. C73×#2510C2semidirect
22. C73×#2472C2semidirect
23. C73×#2444C2semidirect
24. C73×#2438C2semidirect
25. C73×#2430C2semidirect
26. C73×#2424C2semidirect
27. C73×#2411C2semidirect
28. C73×#2404C2semidirect
29. C73×#2322C2semidirect
30. C73×#2311C2semidirect
31. C2×#388×C73C2semidirect
33. C2×#126×C73C22semidirect
35. C2×#124×C73C22semidirect
51. #401×C73C22semidirect
52. #400×C73C22semidirect
53. #400×C73C22semidirect
54. #400×C73C22semidirect
55. #398×C73C22semidirect
56. #398×C73C22semidirect
64. #397×C73C22semidirect
65. #397×C73C22semidirect
66. #397×C73C22semidirect
67. #397×C73C22semidirect
71. #395×C73C22semidirect
72. #395×C73C22semidirect
87. #394×C73C22semidirect
88. #394×C73C22semidirect
92. #393×C73C22semidirect
98. #392×C73C22semidirect
99. #391×C73C22semidirect
100. #391×C73C22semidirect
101. #391×C73C22semidirect
102. #391×C73C22semidirect
107. #390×C73C22semidirect
108. #390×C73C22semidirect
109. #390×C73C22semidirect
110. #389×C73C22semidirect
111. #389×C73C22semidirect
112. #389×C73C22semidirect
126. #388×C73C22semidirect
127. #388×C73C22semidirect
128. #388×C73C22semidirect
129. #388×C73C22semidirect
130. #388×C73C22semidirect
131. #388×C73C22semidirect
132. #388×C73C22semidirect
133. #388×C73C22semidirect
134. #388×C73C22semidirect
135. #388×C73C22semidirect
136. #388×C73C22semidirect
137. #388×C73C22semidirect
138. #387×C73C22semidirect
139. #387×C73C22semidirect
140. #387×C73C22semidirect
141. #387×C73C22semidirect
142. #387×C73C22semidirect
143. #387×C73C22semidirect
144. #387×C73C22semidirect
145. #387×C73C22semidirect
146. #387×C73C22semidirect
162. #386×C73C22semidirect
163. #386×C73C22semidirect
164. #386×C73C22semidirect
169. #385×C73C22semidirect
170. #385×C73C22semidirect
171. #385×C73C22semidirect
172. #385×C73C22semidirect
173. #383×C73C22semidirect
174. #383×C73C22semidirect
175. #382×C73C22semidirect
177. #381×C73C22semidirect
179. #380×C73C22semidirect
180. #380×C73C22semidirect
181. #380×C73C22semidirect
182. #380×C73C22semidirect
781. #36795C73direct (N × H)
795. #2852C2×C73semidirect
796. #2850C2×C73semidirect
797. #2808C2×C73semidirect
798. #2803C2×C73semidirect
799. #2803C2×C73semidirect
800. #2786C2×C73semidirect
801. #2781C2×C73semidirect
802. #2779C2×C73semidirect
803. #2778C2×C73semidirect
804. #2775C2×C73semidirect
805. #2759C2×C73semidirect
806. #2756C2×C73semidirect
807. #2756C2×C73semidirect
808. #2751C2×C73semidirect
809. #2733C2×C73semidirect
810. #2715C2×C73semidirect
811. #2714C2×C73semidirect
812. #2686C2×C73semidirect
813. #2622C2×C73semidirect
814. #2617C2×C73semidirect
815. #2510C2×C73semidirect
816. #2472C2×C73semidirect
817. #2444C2×C73semidirect
818. #2438C2×C73semidirect
819. #2430C2×C73semidirect
820. #2424C2×C73semidirect
821. #2411C2×C73semidirect
822. #2404C2×C73semidirect
823. #2322C2×C73semidirect
824. #2311C2×C73semidirect
825. C2×#388C2×C73semidirect
826. C73#36795direct (N × H)
828. C2×#126C22×C73semidirect
830. C2×#124C22×C73semidirect
846. #401C22×C73semidirect
847. #400C22×C73semidirect
848. #400C22×C73semidirect
849. #400C22×C73semidirect
850. #398C22×C73semidirect
851. #398C22×C73semidirect
859. #397C22×C73semidirect
860. #397C22×C73semidirect
861. #397C22×C73semidirect
862. #397C22×C73semidirect
866. #395C22×C73semidirect
867. #395C22×C73semidirect
882. #394C22×C73semidirect
883. #394C22×C73semidirect
887. #393C22×C73semidirect
893. #392C22×C73semidirect
894. #391C22×C73semidirect
895. #391C22×C73semidirect
896. #391C22×C73semidirect
897. #391C22×C73semidirect
902. #390C22×C73semidirect
903. #390C22×C73semidirect
904. #390C22×C73semidirect
905. #389C22×C73semidirect
906. #389C22×C73semidirect
907. #389C22×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. #388C22×C73semidirect
931. #388C22×C73semidirect
932. #388C22×C73semidirect
933. #387C22×C73semidirect
934. #387C22×C73semidirect
935. #387C22×C73semidirect
936. #387C22×C73semidirect
937. #387C22×C73semidirect
938. #387C22×C73semidirect
939. #387C22×C73semidirect
940. #387C22×C73semidirect
941. #387C22×C73semidirect
957. #386C22×C73semidirect
958. #386C22×C73semidirect
959. #386C22×C73semidirect
964. #385C22×C73semidirect
965. #385C22×C73semidirect
966. #385C22×C73semidirect
967. #385C22×C73semidirect
968. #383C22×C73semidirect
969. #383C22×C73semidirect
970. #382C22×C73semidirect
972. #381C22×C73semidirect
974. #380C22×C73semidirect
975. #380C22×C73semidirect
976. #380C22×C73semidirect
977. #380C22×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×#28082
C73×#28032
C73×#27862
C73×#27812
C73×#27792
C73×#27782
C73×#27752
C73×#27592
C73×#27562
C73×#27512
C73×#27332
C73×#27152
C73×#27142
C73×#26862
C73×#26222
C73×#26172
C73×#25102
C73×#24722
C73×#24442
C73×#24382
C73×#24302
C73×#24242
C73×#24112
C73×#24042
C73×#23222
C73×#23112
C2×#388×C732
#3679573