Finite Group Databasebeta

← C73×#59804 #32969208

Subgroups — C73×#59804 #32969208

Order 18688.

2576 conjugacy classes of subgroups.

The subgroup lattice has 1684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#552×C73C211yesmaximal, characteristic, complemented
2C2×#546×C73C211yesmaximal, characteristic
3C73×#2711C211yesmaximal, characteristic, complemented
4C73×#2700C211yesmaximal, characteristic, complemented
5C73×#2690C211yesmaximal, characteristic, complemented
6C73×#2685C211yesmaximal, characteristic, complemented
7C73×#2559C211yesmaximal, characteristic, complemented
8C73×#2558C211yesmaximal, characteristic, complemented
9C73×#2556C211yesmaximal, characteristic, complemented
10C73×#2521C211yesmaximal, characteristic, complemented
11C73×#2490C211yesmaximal, characteristic, complemented
12C73×#2482C211yesmaximal, characteristic, complemented
13C73×#2480C211yesmaximal, characteristic, complemented
14C73×#2476C211yesmaximal, characteristic, complemented
15C73×#2472C211yesmaximal, characteristic, complemented
16C73×#2472C211yesmaximal, characteristic, complemented
17C73×#2460C211yesmaximal, characteristic, complemented
18C73×#2458C211yesmaximal, characteristic, complemented
19C73×#2450C211yesmaximal, characteristic, complemented
20C73×#2444C211yesmaximal, characteristic, complemented
21C73×#2425C211yesmaximal, characteristic, complemented
22C73×#2411C211yesmaximal, characteristic, complemented
23C73×#2406C211yesmaximal, characteristic, complemented
24C73×#2405C211yesmaximal, characteristic, complemented
25C73×#2367C211yesmaximal, characteristic, complemented
26C73×#2359C211yesmaximal, characteristic, complemented
27C73×#2342C211yesmaximal, characteristic, complemented
28D4×C22⋊C4×C73C211yesmaximal, characteristic, complemented
29C4×#123×C73C211yesmaximal, characteristic, complemented
30C73×#2297C211yesmaximal, characteristic, complemented
31C2×#388×C73C211yesmaximal, characteristic, complemented
32C22×#41×C73C2211yescharacteristic
33C23×D4×C73C2211yescharacteristic
34#552×C73—28no—
35#546×C73—28no—
36C2×#126×C73C2211yescharacteristic, complemented
37C2×#126×C73C2211yescharacteristic, complemented
38C2×#125×C73C2211yescharacteristic, complemented
39C2×#125×C73C2211yescharacteristic, complemented
40C2×#125×C73C2211yescharacteristic, complemented
41C2×#124×C73C2211yescharacteristic
42C2×#124×C73C2211yescharacteristic
43C2×#123×C73C2211yescharacteristic
44C2×#123×C73C2211yescharacteristic
45C2×#123×C73C2211yescharacteristic
46C2×#123×C73C2211yescharacteristic
47C2×#123×C73C2211yescharacteristic, complemented
48C2×C22⋊Q8×C73C2211yescharacteristic
49C2×C22⋊Q8×C73C2211yescharacteristic, complemented
50C2×C22⋊Q8×C73C2211yescharacteristic, complemented
51C2×#121×C73C2211yescharacteristic
52C2×#121×C73C2211yescharacteristic
53C2×#121×C73C2211yescharacteristic
54C2×#120×C73C2211yescharacteristic
55C2×#120×C73C2211yescharacteristic
56C2×C4×Q8×C73C2211yescharacteristic, complemented
57C2×C4×D4×C73C2211yescharacteristic
58C2×C4×D4×C73C2211yescharacteristic
59C2×C4×D4×C73C2211yescharacteristic
60C2×C4×D4×C73C2211yescharacteristic
61C2×#117×C73C2211yescharacteristic, complemented
62C2×#117×C73C2211yescharacteristic, complemented
63C2×#117×C73C2211yescharacteristic, complemented
64C22×C4⋊C4×C73C2211yescharacteristic, complemented
65C22×C22⋊C4×C73C2211yescharacteristic
66C22×C22⋊C4×C73C2211yescharacteristic
67C22×C22⋊C4×C73C2211yescharacteristic
68C22×C22⋊C4×C73C2211yescharacteristic
69C22×C22⋊C4×C73C2211yescharacteristic
70C22×C42×C73C2211yescharacteristic, complemented
71#400×C73C2211yescharacteristic, complemented
72#400×C73C2211yescharacteristic, complemented
73#399×C73C2211yescharacteristic
74#399×C73C2211yescharacteristic, complemented
75#398×C73C2211yescharacteristic, complemented
76#398×C73C2211yescharacteristic, complemented
77#397×C73C2211yescharacteristic
78#397×C73C2211yescharacteristic
79#397×C73C2211yescharacteristic, complemented
80#397×C73C2211yescharacteristic, complemented
81#397×C73C2211yescharacteristic, complemented
82#397×C73C2211yescharacteristic, complemented
83#396×C73C2211yescharacteristic
84#396×C73C2211yescharacteristic, complemented
85#396×C73C2211yescharacteristic, complemented
86#396×C73C2211yescharacteristic, complemented
87#395×C73C2211yescharacteristic, complemented
88#395×C73C2211yescharacteristic, complemented
89#394×C73C2211yescharacteristic
90#394×C73C2211yescharacteristic
91#394×C73C2211yescharacteristic
92#394×C73C2211yescharacteristic
93#394×C73C2211yescharacteristic
94#394×C73C2211yescharacteristic
95#394×C73C2211yescharacteristic, complemented
96#394×C73C2211yescharacteristic, complemented
97#394×C73C2211yescharacteristic, complemented
98#394×C73C2211yescharacteristic, complemented
99#394×C73C2211yescharacteristic, complemented
100#394×C73C2211yescharacteristic, complemented
101#393×C73C2211yescharacteristic, complemented
102#393×C73C2211yescharacteristic, complemented
103#391×C73C2211yescharacteristic, complemented
104#391×C73C2211yescharacteristic, complemented
105#391×C73C2211yescharacteristic, complemented
106#390×C73C2211yescharacteristic
107#390×C73C2211yescharacteristic
108#390×C73C2211yescharacteristic
109#390×C73C2211yescharacteristic, complemented
110#390×C73C2211yescharacteristic, complemented
111#390×C73C2211yescharacteristic, complemented
112#390×C73C2211yescharacteristic, complemented
113#389×C73C2211yescharacteristic, complemented
114#389×C73C2211yescharacteristic, complemented
115#388×C73C2211yescharacteristic
116#388×C73C2211yescharacteristic
117#388×C73C2211yescharacteristic
118#388×C73C2211yescharacteristic
119#388×C73C2211yescharacteristic
120#388×C73C2211yescharacteristic
121#388×C73C2211yescharacteristic
122#388×C73C2211yescharacteristic
123#388×C73C2211yescharacteristic, complemented
124#388×C73C2211yescharacteristic, complemented
125#388×C73C2211yescharacteristic, complemented
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#387×C73C2211yescharacteristic, complemented
138#387×C73C2211yescharacteristic, complemented
139#387×C73C2211yescharacteristic, complemented
140#387×C73C2211yescharacteristic, complemented
141#387×C73C2211yescharacteristic, complemented
142#387×C73C2211yescharacteristic, complemented
143#386×C73C2211yescharacteristic
144#386×C73C2211yescharacteristic
145#386×C73C2211yescharacteristic
146#386×C73C2211yescharacteristic
147#386×C73C2211yescharacteristic
148#386×C73C2211yescharacteristic
149#386×C73C2211yescharacteristic, complemented
150#386×C73C2211yescharacteristic, complemented
151#386×C73C2211yescharacteristic, complemented
152#386×C73C2211yescharacteristic, complemented
153#386×C73C2211yescharacteristic, complemented
154#385×C73C2211yescharacteristic
155#385×C73C2211yescharacteristic
156#385×C73C2211yescharacteristic, complemented
157#385×C73C2211yescharacteristic, complemented
158#385×C73C2211yescharacteristic, complemented
159#385×C73C2211yescharacteristic, complemented
160#385×C73C2211yescharacteristic, complemented
161#385×C73C2211yescharacteristic, complemented
162#385×C73C2211yescharacteristic, complemented
163#385×C73C2211yescharacteristic, complemented
164#385×C73C2211yescharacteristic, complemented
165#381×C73C2211yescharacteristic, complemented
166#381×C73C2211yescharacteristic, complemented
167#380×C73C2211yescharacteristic
168#380×C73C2211yescharacteristic, complemented
169#380×C73C2211yescharacteristic, complemented
170#379×C73C2211yescharacteristic
171#379×C73C2211yescharacteristic
172#379×C73C2211yescharacteristic
173#379×C73C2211yescharacteristic
174#379×C73C2211yescharacteristic
175C4×C4⋊C4×C73C2211yescharacteristic, complemented
176C4×C4⋊C4×C73C2211yescharacteristic, complemented
177C4×C4⋊C4×C73C2211yescharacteristic, complemented
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
185C4×C22⋊C4×C73C2211yescharacteristic, complemented
186C4×C22⋊C4×C73C2211yescharacteristic, complemented
187C2×#95×C73C2211yescharacteristic, complemented
188C2×#95×C73C2211yescharacteristic, complemented
189C25×C73C2311yescharacteristic
190C25×C73C2311yescharacteristic
191C2×#41×C73—24no—
192C2×#41×C73—24no—
193C2×#41×C73—42no—
194C22×Q8×C73C2311yescharacteristic
195C22×Q8×C73C2311yescharacteristic
196C22×D4×C73—24no—
197C22×D4×C73—24no—
198C22×D4×C73—42no—
199C22×D4×C73C2311yescharacteristic
200C22×D4×C73C2311yescharacteristic
201C22×D4×C73C2311yescharacteristic
202C22×D4×C73C2311yescharacteristic
203C22×D4×C73C2311yescharacteristic
204C22×D4×C73C2311yescharacteristic
205C22×D4×C73C2311yescharacteristic
206C22×D4×C73C2311yescharacteristic
207C22×D4×C73C2311yescharacteristic
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
220#126×C73—24no—
221#126×C73—24no—
222#125×C73—24no—
223#125×C73—24no—
224#125×C73—24no—
225#124×C73—24no—
226#124×C73—24no—
227#123×C73—24no—
228#123×C73—24no—
229#123×C73—24no—
230#123×C73—42no—
231#123×C73D418yes—
232C22⋊Q8×C73—24no—
233C22⋊Q8×C73—24no—
234C22⋊Q8×C73—24no—
235#121×C73—24no—
236#121×C73—24no—
237#121×C73—24no—
238#120×C73—24no—
239#120×C73—24no—
240C4×Q8×C73—24no—
241C4×D4×C73—24no—
242C4×D4×C73—24no—
243C4×D4×C73—24no—
244C4×D4×C73—42no—
245#117×C73—24no—
246#117×C73—24no—
247#117×C73—24no—
248C2×C4⋊C4×C73—24no—
249C2×C4⋊C4×C73C2311yescharacteristic
250C2×C4⋊C4×C73C2311yescharacteristic
251C2×C4⋊C4×C73C2311yescharacteristic
252C2×C4⋊C4×C73C2311yescharacteristic
253C2×C4⋊C4×C73C2311yescharacteristic
254C2×C4⋊C4×C73C2311yescharacteristic
255C2×C4⋊C4×C73C2311yescharacteristic
256C2×C4⋊C4×C73C2311yescharacteristic
257C2×C4⋊C4×C73C2311yescharacteristic
258C2×C4⋊C4×C73C2311yescharacteristic
259C2×C4⋊C4×C73C2311yescharacteristic
260C2×C4⋊C4×C73C2311yescharacteristic
261C2×C4⋊C4×C73C2311yescharacteristic
262C2×C4⋊C4×C73C2311yescharacteristic
263C2×C4⋊C4×C73C2311yescharacteristic
264C2×C4⋊C4×C73C2311yescharacteristic
265C2×C4⋊C4×C73C2311yescharacteristic
266C2×C4⋊C4×C73C2311yescharacteristic
267C2×C4⋊C4×C73C2311yescharacteristic
268C2×C4⋊C4×C73C2311yescharacteristic
269C2×C4⋊C4×C73C2311yescharacteristic
270C2×C4⋊C4×C73C2311yescharacteristic
271C2×C4⋊C4×C73C2311yescharacteristic
272C2×C4⋊C4×C73C2311yescharacteristic
273C2×C4⋊C4×C73C2311yescharacteristic
274C2×C4⋊C4×C73C2311yescharacteristic
275C2×C4⋊C4×C73C2311yescharacteristic
276C2×C4⋊C4×C73C2311yescharacteristic
277C2×C4⋊C4×C73C2311yescharacteristic
278C2×C22⋊C4×C73—24no—
279C2×C22⋊C4×C73—24no—
280C2×C22⋊C4×C73—24no—
281C2×C22⋊C4×C73—24no—
282C2×C22⋊C4×C73—42no—
283C2×C22⋊C4×C73C2311yescharacteristic
284C2×C22⋊C4×C73C2311yescharacteristic
285C2×C22⋊C4×C73C2311yescharacteristic
286C2×C22⋊C4×C73C2311yescharacteristic
287C2×C22⋊C4×C73C2311yescharacteristic
288C2×C22⋊C4×C73C2311yescharacteristic
289C2×C22⋊C4×C73C2311yescharacteristic
290C2×C22⋊C4×C73C2311yescharacteristic
291C2×C22⋊C4×C73C2311yescharacteristic
292C2×C22⋊C4×C73C2311yescharacteristic
293C2×C22⋊C4×C73C2311yescharacteristic
294C2×C22⋊C4×C73C2311yescharacteristic
295C2×C22⋊C4×C73C2311yescharacteristic
296C2×C22⋊C4×C73C2311yescharacteristic
297C2×C22⋊C4×C73C2311yescharacteristic
298C2×C22⋊C4×C73C2311yescharacteristic
299C2×C22⋊C4×C73C2311yescharacteristic
300C2×C22⋊C4×C73C2311yescharacteristic
301C2×C22⋊C4×C73C2311yescharacteristic
302C2×C22⋊C4×C73C2311yescharacteristic
303C2×C22⋊C4×C73C2311yescharacteristic
304C2×C22⋊C4×C73C2311yescharacteristic
305C2×C22⋊C4×C73C2311yescharacteristic
306C2×C22⋊C4×C73C2311yescharacteristic
307C2×C22⋊C4×C73C2311yescharacteristic
308C2×C22⋊C4×C73C2311yescharacteristic
309C2×C22⋊C4×C73C2311yescharacteristic
310C2×C22⋊C4×C73C2311yescharacteristic
311C2×C22⋊C4×C73C2311yescharacteristic
312C2×C22⋊C4×C73C2311yescharacteristic
313C2×C22⋊C4×C73C2311yescharacteristic
314C2×C22⋊C4×C73C2311yescharacteristic
315C2×C22⋊C4×C73C2311yescharacteristic
316C2×C22⋊C4×C73C2311yescharacteristic
317C2×C22⋊C4×C73C2311yescharacteristic
318C2×C22⋊C4×C73C2311yescharacteristic
319C2×C22⋊C4×C73C2311yescharacteristic
320C2×C22⋊C4×C73C2311yescharacteristic
321C2×C22⋊C4×C73C2311yescharacteristic
322C2×C22⋊C4×C73C2311yescharacteristic
323C2×C22⋊C4×C73C2311yescharacteristic
324C2×C22⋊C4×C73C2311yescharacteristic
325C2×C22⋊C4×C73C2311yescharacteristic
326C2×C22⋊C4×C73C2311yescharacteristic
327C2×C22⋊C4×C73C2311yescharacteristic
328C2×C22⋊C4×C73C2311yescharacteristic
329C2×C22⋊C4×C73C2311yescharacteristic
330C2×C22⋊C4×C73C2311yescharacteristic
331C2×C22⋊C4×C73C2311yescharacteristic
332C2×C22⋊C4×C73C2311yescharacteristic
333C2×C22⋊C4×C73C2311yescharacteristic
334C2×C22⋊C4×C73C2311yescharacteristic
335C2×C22⋊C4×C73C2311yescharacteristic
336C2×C22⋊C4×C73C2311yescharacteristic
337C2×C42×C73—42no—
338C2×C42×C73C2311yescharacteristic
339C2×C42×C73C2311yescharacteristic
340C2×C42×C73C2311yescharacteristic
341C2×C42×C73C2311yescharacteristic
342C2×C42×C73C2311yescharacteristic
343C2×C42×C73C2311yescharacteristic
344C2×C42×C73C2311yescharacteristic
345C2×C42×C73C2311yescharacteristic
346C2×C42×C73C2311yescharacteristic
347C2×C42×C73C2311yescharacteristic
348C2×C42×C73C2311yescharacteristic
349C2×C42×C73C2311yescharacteristic
350C2×C42×C73C2311yescharacteristic
351#95×C73C2311yescharacteristic
352#95×C73C2311yescharacteristic
353#95×C73C2311yescharacteristic
354#95×C73C2311yescharacteristic
355#95×C73C2311yescharacteristic
356#95×C73C2311yescharacteristic
357#95×C73C2311yescharacteristic
358#95×C73C2311yescharacteristic
359#95×C73C2311yescharacteristic
360#95×C73C2311yescharacteristic
361#95×C73C2311yescharacteristic
362#95×C73C2311yescharacteristic
363#95×C73C2311yescharacteristic
364#95×C73C2311yescharacteristic
365#95×C73C2311yescharacteristic
366#95×C73C2311yescharacteristic
367#95×C73C2311yescharacteristic
368#95×C73C2311yescharacteristic
369#95×C73C2311yescharacteristic
370#95×C73C2311yescharacteristic
371#95×C73C2311yescharacteristic
372#95×C73C2311yescharacteristic
373#95×C73C2311yescharacteristic
374#95×C73C2311yescharacteristic
375#95×C73C2311yescharacteristic
376#95×C73C2311yescharacteristic
377#95×C73C2311yescharacteristic
378#95×C73C2311yescharacteristic
379#95×C73C2311yescharacteristic
380#95×C73C2311yescharacteristic
381#95×C73C2311yescharacteristic
382#95×C73C2311yescharacteristic
383#95×C73C2311yescharacteristic
384#95×C73C2311yescharacteristic
385C24×C73—22no—
386C24×C73—22no—
387C24×C73—22no—
388C24×C73—22no—
389C24×C73—22no—
390C24×C73—22no—
391C24×C73—22no—
392C24×C73—41no—
393C24×C73—41no—
394C24×C73—41no—
395C24×C73—41no—
396C24×C73—41no—
397C24×C73—41no—
398C24×C73—41no—
399C24×C73C2411yescharacteristic
400C24×C73C2411yescharacteristic
401C24×C73C2411yescharacteristic
402C24×C73C2411yescharacteristic
403C24×C73C2411yescharacteristic
404C24×C73C2411yescharacteristic
405#41×C73—416no—
406C2×Q8×C73—22no—
407C2×Q8×C73—22no—
408C2×Q8×C73—22no—
409C2×Q8×C73—22no—
410C2×Q8×C73—41no—
411C2×Q8×C73—41no—
412C2×D4×C73—22no—
413C2×D4×C73—22no—
414C2×D4×C73—22no—
415C2×D4×C73—22no—
416C2×D4×C73—22no—
417C2×D4×C73—22no—
418C2×D4×C73—22no—
419C2×D4×C73—22no—
420C2×D4×C73—22no—
421C2×D4×C73—22no—
422C2×D4×C73—22no—
423C2×D4×C73—22no—
424C2×D4×C73—22no—
425C2×D4×C73—22no—
426C2×D4×C73—22no—
427C2×D4×C73—22no—
428C2×D4×C73—22no—
429C2×D4×C73—41no—
430C2×D4×C73—41no—
431C2×D4×C73—41no—
432C2×D4×C73—41no—
433C2×D4×C73—41no—
434C2×D4×C73—41no—
435C2×D4×C73—41no—
436C2×D4×C73—41no—
437C2×D4×C73—416no—
438C2×D4×C73C2×D414yes—
439C2×D4×C73#4114yes—
440C22×C4×C73—22no—
441C22×C4×C73—22no—
442C22×C4×C73—22no—
443C22×C4×C73—22no—
444C22×C4×C73—22no—
445C22×C4×C73—22no—
446C22×C4×C73—22no—
447C22×C4×C73—22no—
448C22×C4×C73—22no—
449C22×C4×C73—22no—
450C22×C4×C73—22no—
451C22×C4×C73—22no—
452C22×C4×C73—22no—
453C22×C4×C73—22no—
454C22×C4×C73—22no—
455C22×C4×C73—22no—
456C22×C4×C73—22no—
457C22×C4×C73—22no—
458C22×C4×C73—22no—
459C22×C4×C73—22no—
460C22×C4×C73—22no—
461C22×C4×C73—41no—
462C22×C4×C73—41no—
463C22×C4×C73—41no—
464C22×C4×C73—41no—
465C22×C4×C73—41no—
466C22×C4×C73—41no—
467C22×C4×C73—41no—
468C22×C4×C73—41no—
469C22×C4×C73—41no—
470C22×C4×C73—41no—
471C22×C4×C73—41no—
472C22×C4×C73—41no—
473C22×C4×C73—41no—
474C22×C4×C73—41no—
475C22×C4×C73C2×D414yes—
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
490C22×C4×C73C2411yescharacteristic
491C22×C4×C73C2411yescharacteristic
492C22×C4×C73C2411yescharacteristic
493C22×C4×C73C2411yescharacteristic
494C22×C4×C73C2411yescharacteristic
495C22×C4×C73C2411yescharacteristic
496C22×C4×C73C2411yescharacteristic
497C22×C4×C73C2411yescharacteristic
498C22×C4×C73C2411yescharacteristic
499C22×C4×C73C2411yescharacteristic
500C22×C4×C73C2411yescharacteristic
501C4⋊C4×C73—22no—
502C4⋊C4×C73—22no—
503C4⋊C4×C73—22no—
504C4⋊C4×C73—22no—
505C4⋊C4×C73—22no—
506C4⋊C4×C73—22no—
507C4⋊C4×C73—22no—
508C4⋊C4×C73—22no—
509C4⋊C4×C73—22no—
510C4⋊C4×C73—22no—
511C4⋊C4×C73—22no—
512C4⋊C4×C73—22no—
513C4⋊C4×C73—22no—
514C4⋊C4×C73—22no—
515C4⋊C4×C73—22no—
516C4⋊C4×C73—22no—
517C4⋊C4×C73—22no—
518C4⋊C4×C73—22no—
519C4⋊C4×C73—41no—
520C4⋊C4×C73—41no—
521C4⋊C4×C73—41no—
522C4⋊C4×C73—41no—
523C4⋊C4×C73—41no—
524C4⋊C4×C73—41no—
525C4⋊C4×C73—41no—
526C4⋊C4×C73—41no—
527C4⋊C4×C73—41no—
528C4⋊C4×C73C2×D414yes—
529C4⋊C4×C73C2×D414yes—
530C22⋊C4×C73—22no—
531C22⋊C4×C73—22no—
532C22⋊C4×C73—22no—
533C22⋊C4×C73—22no—
534C22⋊C4×C73—22no—
535C22⋊C4×C73—22no—
536C22⋊C4×C73—22no—
537C22⋊C4×C73—22no—
538C22⋊C4×C73—22no—
539C22⋊C4×C73—22no—
540C22⋊C4×C73—22no—
541C22⋊C4×C73—22no—
542C22⋊C4×C73—22no—
543C22⋊C4×C73—22no—
544C22⋊C4×C73—22no—
545C22⋊C4×C73—22no—
546C22⋊C4×C73—22no—
547C22⋊C4×C73—22no—
548C22⋊C4×C73—22no—
549C22⋊C4×C73—22no—
550C22⋊C4×C73—22no—
551C22⋊C4×C73—22no—
552C22⋊C4×C73—22no—
553C22⋊C4×C73—22no—
554C22⋊C4×C73—22no—
555C22⋊C4×C73—22no—
556C22⋊C4×C73—22no—
557C22⋊C4×C73—41no—
558C22⋊C4×C73—41no—
559C22⋊C4×C73—41no—
560C22⋊C4×C73—41no—
561C22⋊C4×C73—41no—
562C22⋊C4×C73—41no—
563C22⋊C4×C73—41no—
564C22⋊C4×C73—41no—
565C22⋊C4×C73—41no—
566C22⋊C4×C73—41no—
567C22⋊C4×C73—41no—
568C22⋊C4×C73—41no—
569C22⋊C4×C73—41no—
570C22⋊C4×C73—41no—
571C22⋊C4×C73—41no—
572C22⋊C4×C73—41no—
573C22⋊C4×C73—41no—
574C22⋊C4×C73—41no—
575C22⋊C4×C73—41no—
576C22⋊C4×C73—41no—
577C22⋊C4×C73—41no—
578C22⋊C4×C73—41no—
579C22⋊C4×C73—41no—
580C22⋊C4×C73C2×D414yes—
581C22⋊C4×C73C2×D414yes—
582C22⋊C4×C73C2×D414yes—
583C22⋊C4×C73#4114yescomplemented
584C42×C73—22no—
585C42×C73—22no—
586C42×C73—22no—
587C42×C73—22no—
588C42×C73—22no—
589C42×C73—22no—
590C42×C73—22no—
591C42×C73—41no—
592C42×C73—41no—
593C42×C73—41no—
594C42×C73—41no—
595C42×C73—41no—
596C42×C73—41no—
597C23×C73—21no—
598C23×C73—21no—
599C23×C73—21no—
600C23×C73—21no—
601C23×C73—21no—
602C23×C73—21no—
603C23×C73—21no—
604C23×C73—21no—
605C23×C73—21no—
606C23×C73—21no—
607C23×C73—21no—
608C23×C73—21no—
609C23×C73—21no—
610C23×C73—21no—
611C23×C73—21no—
612C23×C73—21no—
613C23×C73—21no—
614C23×C73—21no—
615C23×C73—21no—
616C23×C73—21no—
617C23×C73—21no—
618C23×C73—21no—
619C23×C73—21no—
620C23×C73—21no—
621C23×C73—21no—
622C23×C73—21no—
623C23×C73—21no—
624C23×C73—21no—
625C23×C73—21no—
626C23×C73—21no—
627C23×C73—21no—
628C23×C73—21no—
629C23×C73—21no—
630C23×C73—21no—
631C23×C73—21no—
632C23×C73—21no—
633C23×C73—44no—
634C23×C73—44no—
635C23×C73—44no—
636C23×C73—44no—
637C23×C73—44no—
638C23×C73—44no—
639C23×C73—44no—
640C23×C73—82no—
641C23×C73—82no—
642C23×C73—82no—
643C23×C73—82no—
644C23×C73—82no—
645C23×C73—82no—
646C23×C73—82no—
647C23×C73C22×D412yes—
648C23×C73C22×D412yes—
649C23×C73C2×#4112yes—
650C23×C73C2×#4112yes—
651C23×C73C2×#4112yes—
652C23×C73H(5,𝔽2)12yes—
653C23×C73C2511yescharacteristic
654Q8×C73—44no—
655Q8×C73—44no—
656D4×C73—28no—
657D4×C73—28no—
658D4×C73—44no—
659D4×C73—44no—
660D4×C73—44no—
661D4×C73—44no—
662D4×C73—44no—
663D4×C73—82no—
664D4×C73—82no—
665C2×C4×C73—28no—
666C2×C4×C73—21no—
667C2×C4×C73—21no—
668C2×C4×C73—21no—
669C2×C4×C73—21no—
670C2×C4×C73—21no—
671C2×C4×C73—21no—
672C2×C4×C73—21no—
673C2×C4×C73—21no—
674C2×C4×C73—21no—
675C2×C4×C73—21no—
676C2×C4×C73—21no—
677C2×C4×C73—21no—
678C2×C4×C73—21no—
679C2×C4×C73—21no—
680C2×C4×C73—21no—
681C2×C4×C73—21no—
682C2×C4×C73—21no—
683C2×C4×C73—21no—
684C2×C4×C73—21no—
685C2×C4×C73—21no—
686C2×C4×C73—21no—
687C2×C4×C73—21no—
688C2×C4×C73—21no—
689C2×C4×C73—21no—
690C2×C4×C73—21no—
691C2×C4×C73—21no—
692C2×C4×C73—21no—
693C2×C4×C73—21no—
694C2×C4×C73—21no—
695C2×C4×C73—21no—
696C2×C4×C73—21no—
697C2×C4×C73—21no—
698C2×C4×C73—21no—
699C2×C4×C73—21no—
700C2×C4×C73—21no—
701C2×C4×C73—21no—
702C2×C4×C73—21no—
703C2×C4×C73—21no—
704C2×C4×C73—21no—
705C2×C4×C73—21no—
706C2×C4×C73—21no—
707C2×C4×C73—21no—
708C2×C4×C73—21no—
709C2×C4×C73—21no—
710C2×C4×C73—21no—
711C2×C4×C73—21no—
712C2×C4×C73—21no—
713C2×C4×C73—21no—
714C2×C4×C73—21no—
715C2×C4×C73—21no—
716C2×C4×C73—21no—
717C2×C4×C73—21no—
718C2×C4×C73—21no—
719C2×C4×C73—21no—
720C2×C4×C73—21no—
721C2×C4×C73—21no—
722C2×C4×C73—21no—
723C2×C4×C73—21no—
724C2×C4×C73—21no—
725C2×C4×C73—21no—
726C2×C4×C73—21no—
727C2×C4×C73—21no—
728C2×C4×C73—21no—
729C2×C4×C73—21no—
730C2×C4×C73—21no—
731C2×C4×C73—21no—
732C2×C4×C73—21no—
733C2×C4×C73—44no—
734C2×C4×C73—44no—
735C2×C4×C73—44no—
736C2×C4×C73—44no—
737C2×C4×C73—44no—
738C2×C4×C73—44no—
739C2×C4×C73—44no—
740C2×C4×C73—44no—
741C2×C4×C73—82no—
742C2×C4×C73—82no—
743C2×C4×C73—82no—
744C2×C4×C73C22×D412yes—
745C2×C4×C73C22×D412yes—
746C2×C4×C73C22×D412yes—
747C2×C4×C73C22×D412yes—
748C2×C4×C73C22×D412yes—
749C2×C4×C73C2×#4112yes—
750C2×C4×C73C2×#4112yes—
751C2×C4×C73C2×#4112yes—
752C22×C73—22no—
753C22×C73—22no—
754C22×C73—22no—
755C22×C73—22no—
756C22×C73—22no—
757C22×C73—22no—
758C22×C73—22no—
759C22×C73—22no—
760C22×C73—22no—
761C22×C73—22no—
762C22×C73—22no—
763C22×C73—22no—
764C22×C73—22no—
765C22×C73—22no—
766C22×C73—22no—
767C22×C73—41no—
768C22×C73—41no—
769C22×C73—41no—
770C22×C73—41no—
771C22×C73—41no—
772C22×C73—41no—
773C22×C73—41no—
774C22×C73—41no—
775C22×C73—41no—
776C22×C73—41no—
777C22×C73—41no—
778C22×C73—41no—
779C22×C73—41no—
780C22×C73—41no—
781C22×C73—41no—
782C22×C73—41no—
783C22×C73—41no—
784C22×C73—41no—
785C22×C73—41no—
786C22×C73—41no—
787C22×C73—41no—
788C22×C73—41no—
789C22×C73—41no—
790C22×C73—41no—
791C22×C73—41no—
792C22×C73—41no—
793C22×C73—88no—
794C22×C73—88no—
795C22×C73#54614yes—
796C22×C73C23×D411yescharacteristic
797C22×C73C22×#4111yescharacteristic
798C22×C73C22×#4111yescharacteristic
799C22×C73C2×H(5,𝔽2)11yescharacteristic
800C22×C73#58511yescharacteristic
801C22×C73#58511yescharacteristic
802C22×C73#58511yescharacteristic
803C4×C73—22no—
804C4×C73—22no—
805C4×C73—22no—
806C4×C73—22no—
807C4×C73—22no—
808C4×C73—22no—
809C4×C73—22no—
810C4×C73—22no—
811C4×C73—41no—
812C4×C73—41no—
813C4×C73—41no—
814C4×C73—41no—
815C4×C73—41no—
816C4×C73—41no—
817C4×C73—41no—
818C4×C73—41no—
819C4×C73—41no—
820C4×C73—41no—
821C4×C73—41no—
822C4×C73—41no—
823C4×C73—41no—
824C4×C73—41no—
825C4×C73—41no—
826C4×C73—41no—
827C4×C73—41no—
828#59804C7311yesmaximal, characteristic, direct product factor, Sylow
829C2×C73—24no—
830C2×C73—42no—
831C2×C73—42no—
832C2×C73—42no—
833C2×C73—81no—
834C2×C73—81no—
835C2×C73C2×#54611yescharacteristic
836C2×C73D4×#4111yescharacteristic
837C2×C73#347511yescharacteristic
838C2×C73#350011yescharacteristic
839C2×C73#351311yescharacteristic
840C2×C73#352111yescharacteristic
841C2×C73#353311yescharacteristic
842C2×#552C2×C7311yescharacteristic, complemented
843C2×#546C2×C7311yescharacteristic
844#2711C2×C7311yescharacteristic, complemented
845#2700C2×C7311yescharacteristic, complemented
846#2690C2×C7311yescharacteristic, complemented
847#2685C2×C7311yescharacteristic, complemented
848#2559C2×C7311yescharacteristic, complemented
849#2558C2×C7311yescharacteristic, complemented
850#2556C2×C7311yescharacteristic, complemented
851#2521C2×C7311yescharacteristic, complemented
852#2490C2×C7311yescharacteristic, complemented
853#2482C2×C7311yescharacteristic, complemented
854#2480C2×C7311yescharacteristic, complemented
855#2476C2×C7311yescharacteristic, complemented
856#2472C2×C7311yescharacteristic, complemented
857#2472C2×C7311yescharacteristic, complemented
858#2460C2×C7311yescharacteristic, complemented
859#2458C2×C7311yescharacteristic, complemented
860#2450C2×C7311yescharacteristic, complemented
861#2444C2×C7311yescharacteristic, complemented
862#2425C2×C7311yescharacteristic, complemented
863#2411C2×C7311yescharacteristic, complemented
864#2406C2×C7311yescharacteristic, complemented
865#2405C2×C7311yescharacteristic, complemented
866#2367C2×C7311yescharacteristic, complemented
867#2359C2×C7311yescharacteristic, complemented
868#2342C2×C7311yescharacteristic, complemented
869D4×C22⋊C4C2×C7311yescharacteristic, complemented
870C4×#123C2×C7311yescharacteristic, complemented
871#2297C2×C7311yescharacteristic, complemented
872C2×#388C2×C7311yescharacteristic, complemented
873C73#5980411yescharacteristic, direct product factor, Sylow
874C22×#41C22×C7311yescharacteristic
875C23×D4C22×C7311yescharacteristic
876#552—28no—
877#546—28no—
878C2×#126C22×C7311yescharacteristic, complemented
879C2×#126C22×C7311yescharacteristic, complemented
880C2×#125C22×C7311yescharacteristic, complemented
881C2×#125C22×C7311yescharacteristic, complemented
882C2×#125C22×C7311yescharacteristic, complemented
883C2×#124C22×C7311yescharacteristic
884C2×#124C22×C7311yescharacteristic
885C2×#123C22×C7311yescharacteristic
886C2×#123C22×C7311yescharacteristic
887C2×#123C22×C7311yescharacteristic
888C2×#123C22×C7311yescharacteristic
889C2×#123C22×C7311yescharacteristic, complemented
890C2×C22⋊Q8C22×C7311yescharacteristic
891C2×C22⋊Q8C22×C7311yescharacteristic, complemented
892C2×C22⋊Q8C22×C7311yescharacteristic, complemented
893C2×#121C22×C7311yescharacteristic
894C2×#121C22×C7311yescharacteristic
895C2×#121C22×C7311yescharacteristic
896C2×#120C22×C7311yescharacteristic
897C2×#120C22×C7311yescharacteristic
898C2×C4×Q8C22×C7311yescharacteristic, complemented
899C2×C4×D4C22×C7311yescharacteristic
900C2×C4×D4C22×C7311yescharacteristic
901C2×C4×D4C22×C7311yescharacteristic
902C2×C4×D4C22×C7311yescharacteristic
903C2×#117C22×C7311yescharacteristic, complemented
904C2×#117C22×C7311yescharacteristic, complemented
905C2×#117C22×C7311yescharacteristic, complemented
906C22×C4⋊C4C22×C7311yescharacteristic, complemented
907C22×C22⋊C4C22×C7311yescharacteristic
908C22×C22⋊C4C22×C7311yescharacteristic
909C22×C22⋊C4C22×C7311yescharacteristic
910C22×C22⋊C4C22×C7311yescharacteristic
911C22×C22⋊C4C22×C7311yescharacteristic
912C22×C42C22×C7311yescharacteristic, complemented
913#400C22×C7311yescharacteristic, complemented
914#400C22×C7311yescharacteristic, complemented
915#399C22×C7311yescharacteristic
916#399C22×C7311yescharacteristic, complemented
917#398C22×C7311yescharacteristic, complemented
918#398C22×C7311yescharacteristic, complemented
919#397C22×C7311yescharacteristic
920#397C22×C7311yescharacteristic
921#397C22×C7311yescharacteristic, complemented
922#397C22×C7311yescharacteristic, complemented
923#397C22×C7311yescharacteristic, complemented
924#397C22×C7311yescharacteristic, complemented
925#396C22×C7311yescharacteristic
926#396C22×C7311yescharacteristic, complemented
927#396C22×C7311yescharacteristic, complemented
928#396C22×C7311yescharacteristic, complemented
929#395C22×C7311yescharacteristic, complemented
930#395C22×C7311yescharacteristic, complemented
931#394C22×C7311yescharacteristic
932#394C22×C7311yescharacteristic
933#394C22×C7311yescharacteristic
934#394C22×C7311yescharacteristic
935#394C22×C7311yescharacteristic
936#394C22×C7311yescharacteristic
937#394C22×C7311yescharacteristic, complemented
938#394C22×C7311yescharacteristic, complemented
939#394C22×C7311yescharacteristic, complemented
940#394C22×C7311yescharacteristic, complemented
941#394C22×C7311yescharacteristic, complemented
942#394C22×C7311yescharacteristic, complemented
943#393C22×C7311yescharacteristic, complemented
944#393C22×C7311yescharacteristic, complemented
945#391C22×C7311yescharacteristic, complemented
946#391C22×C7311yescharacteristic, complemented
947#391C22×C7311yescharacteristic, complemented
948#390C22×C7311yescharacteristic
949#390C22×C7311yescharacteristic
950#390C22×C7311yescharacteristic
951#390C22×C7311yescharacteristic, complemented
952#390C22×C7311yescharacteristic, complemented
953#390C22×C7311yescharacteristic, complemented
954#390C22×C7311yescharacteristic, complemented
955#389C22×C7311yescharacteristic, complemented
956#389C22×C7311yescharacteristic, complemented
957#388C22×C7311yescharacteristic
958#388C22×C7311yescharacteristic
959#388C22×C7311yescharacteristic
960#388C22×C7311yescharacteristic
961#388C22×C7311yescharacteristic
962#388C22×C7311yescharacteristic
963#388C22×C7311yescharacteristic
964#388C22×C7311yescharacteristic
965#388C22×C7311yescharacteristic, complemented
966#388C22×C7311yescharacteristic, complemented
967#388C22×C7311yescharacteristic, complemented
968#388C22×C7311yescharacteristic, complemented
969#388C22×C7311yescharacteristic, complemented
970#388C22×C7311yescharacteristic, complemented
971#388C22×C7311yescharacteristic, complemented
972#388C22×C7311yescharacteristic, complemented
973#388C22×C7311yescharacteristic, complemented
974#388C22×C7311yescharacteristic, complemented
975#388C22×C7311yescharacteristic, complemented
976#388C22×C7311yescharacteristic, complemented
977#388C22×C7311yescharacteristic, complemented
978#388C22×C7311yescharacteristic, complemented
979#387C22×C7311yescharacteristic, complemented
980#387C22×C7311yescharacteristic, complemented
981#387C22×C7311yescharacteristic, complemented
982#387C22×C7311yescharacteristic, complemented
983#387C22×C7311yescharacteristic, complemented
984#387C22×C7311yescharacteristic, complemented
985#386C22×C7311yescharacteristic
986#386C22×C7311yescharacteristic
987#386C22×C7311yescharacteristic
988#386C22×C7311yescharacteristic
989#386C22×C7311yescharacteristic
990#386C22×C7311yescharacteristic
991#386C22×C7311yescharacteristic, complemented
992#386C22×C7311yescharacteristic, complemented
993#386C22×C7311yescharacteristic, complemented
994#386C22×C7311yescharacteristic, complemented
995#386C22×C7311yescharacteristic, complemented
996#385C22×C7311yescharacteristic
997#385C22×C7311yescharacteristic
998#385C22×C7311yescharacteristic, complemented
999#385C22×C7311yescharacteristic, complemented
1000#385C22×C7311yescharacteristic, complemented
1001#385C22×C7311yescharacteristic, complemented
1002#385C22×C7311yescharacteristic, complemented
1003#385C22×C7311yescharacteristic, complemented
1004#385C22×C7311yescharacteristic, complemented
1005#385C22×C7311yescharacteristic, complemented
1006#385C22×C7311yescharacteristic, complemented
1007#381C22×C7311yescharacteristic, complemented
1008#381C22×C7311yescharacteristic, complemented
1009#380C22×C7311yescharacteristic
1010#380C22×C7311yescharacteristic, complemented
1011#380C22×C7311yescharacteristic, complemented
1012#379C22×C7311yescharacteristic
1013#379C22×C7311yescharacteristic
1014#379C22×C7311yescharacteristic
1015#379C22×C7311yescharacteristic
1016#379C22×C7311yescharacteristic
1017C4×C4⋊C4C22×C7311yescharacteristic, complemented
1018C4×C4⋊C4C22×C7311yescharacteristic, complemented
1019C4×C4⋊C4C22×C7311yescharacteristic, complemented
1020C4×C22⋊C4C22×C7311yescharacteristic
1021C4×C22⋊C4C22×C7311yescharacteristic, complemented
1022C4×C22⋊C4C22×C7311yescharacteristic, complemented
1023C4×C22⋊C4C22×C7311yescharacteristic, complemented
1024C4×C22⋊C4C22×C7311yescharacteristic, complemented
1025C4×C22⋊C4C22×C7311yescharacteristic, complemented
1026C4×C22⋊C4C22×C7311yescharacteristic, complemented
1027C4×C22⋊C4C22×C7311yescharacteristic, complemented
1028C4×C22⋊C4C22×C7311yescharacteristic, complemented
1029C2×#95C22×C7311yescharacteristic, complemented
1030C2×#95C22×C7311yescharacteristic, complemented
1031C25C23×C7311yescharacteristic
1032C25C23×C7311yescharacteristic
1033C2×#41—24no—
1034C2×#41—24no—
1035C2×#41—42no—
1036C22×Q8C23×C7311yescharacteristic
1037C22×Q8C23×C7311yescharacteristic
1038C22×D4—24no—
1039C22×D4—24no—
1040C22×D4—42no—
1041C22×D4C23×C7311yescharacteristic
1042C22×D4C23×C7311yescharacteristic
1043C22×D4C23×C7311yescharacteristic
1044C22×D4C23×C7311yescharacteristic
1045C22×D4C23×C7311yescharacteristic
1046C22×D4C23×C7311yescharacteristic
1047C22×D4C23×C7311yescharacteristic
1048C22×D4C23×C7311yescharacteristic
1049C22×D4C23×C7311yescharacteristic
1050C23×C4C23×C7311yescharacteristic
1051C23×C4C23×C7311yescharacteristic
1052C23×C4C23×C7311yescharacteristic
1053C23×C4C23×C7311yescharacteristic
1054C23×C4C23×C7311yescharacteristic
1055C23×C4C23×C7311yescharacteristic
1056C23×C4C23×C7311yescharacteristic
1057C23×C4C23×C7311yescharacteristic
1058C23×C4C23×C7311yescharacteristic
1059C23×C4C23×C7311yescharacteristic
1060C23×C4C23×C7311yescharacteristic
1061C23×C4C23×C7311yescharacteristic
1062#126—24no—
1063#126—24no—
1064#125—24no—
1065#125—24no—
1066#125—24no—
1067#124—24no—
1068#124—24no—
1069#123—24no—
1070#123—24no—
1071#123—24no—
1072#123—42no—
1073#123D4×C7318yes—
1074C22⋊Q8—24no—
1075C22⋊Q8—24no—
1076C22⋊Q8—24no—
1077#121—24no—
1078#121—24no—
1079#121—24no—
1080#120—24no—
1081#120—24no—
1082C4×Q8—24no—
1083C4×D4—24no—
1084C4×D4—24no—
1085C4×D4—24no—
1086C4×D4—42no—
1087#117—24no—
1088#117—24no—
1089#117—24no—
1090C2×C4⋊C4—24no—
1091C2×C4⋊C4C23×C7311yescharacteristic
1092C2×C4⋊C4C23×C7311yescharacteristic
1093C2×C4⋊C4C23×C7311yescharacteristic
1094C2×C4⋊C4C23×C7311yescharacteristic
1095C2×C4⋊C4C23×C7311yescharacteristic
1096C2×C4⋊C4C23×C7311yescharacteristic
1097C2×C4⋊C4C23×C7311yescharacteristic
1098C2×C4⋊C4C23×C7311yescharacteristic
1099C2×C4⋊C4C23×C7311yescharacteristic
1100C2×C4⋊C4C23×C7311yescharacteristic
1101C2×C4⋊C4C23×C7311yescharacteristic
1102C2×C4⋊C4C23×C7311yescharacteristic
1103C2×C4⋊C4C23×C7311yescharacteristic
1104C2×C4⋊C4C23×C7311yescharacteristic
1105C2×C4⋊C4C23×C7311yescharacteristic
1106C2×C4⋊C4C23×C7311yescharacteristic
1107C2×C4⋊C4C23×C7311yescharacteristic
1108C2×C4⋊C4C23×C7311yescharacteristic
1109C2×C4⋊C4C23×C7311yescharacteristic
1110C2×C4⋊C4C23×C7311yescharacteristic
1111C2×C4⋊C4C23×C7311yescharacteristic
1112C2×C4⋊C4C23×C7311yescharacteristic
1113C2×C4⋊C4C23×C7311yescharacteristic
1114C2×C4⋊C4C23×C7311yescharacteristic
1115C2×C4⋊C4C23×C7311yescharacteristic
1116C2×C4⋊C4C23×C7311yescharacteristic
1117C2×C4⋊C4C23×C7311yescharacteristic
1118C2×C4⋊C4C23×C7311yescharacteristic
1119C2×C4⋊C4C23×C7311yescharacteristic
1120C2×C22⋊C4—24no—
1121C2×C22⋊C4—24no—
1122C2×C22⋊C4—24no—
1123C2×C22⋊C4—24no—
1124C2×C22⋊C4—42no—
1125C2×C22⋊C4C23×C7311yescharacteristic
1126C2×C22⋊C4C23×C7311yescharacteristic
1127C2×C22⋊C4C23×C7311yescharacteristic
1128C2×C22⋊C4C23×C7311yescharacteristic
1129C2×C22⋊C4C23×C7311yescharacteristic
1130C2×C22⋊C4C23×C7311yescharacteristic
1131C2×C22⋊C4C23×C7311yescharacteristic
1132C2×C22⋊C4C23×C7311yescharacteristic
1133C2×C22⋊C4C23×C7311yescharacteristic
1134C2×C22⋊C4C23×C7311yescharacteristic
1135C2×C22⋊C4C23×C7311yescharacteristic
1136C2×C22⋊C4C23×C7311yescharacteristic
1137C2×C22⋊C4C23×C7311yescharacteristic
1138C2×C22⋊C4C23×C7311yescharacteristic
1139C2×C22⋊C4C23×C7311yescharacteristic
1140C2×C22⋊C4C23×C7311yescharacteristic
1141C2×C22⋊C4C23×C7311yescharacteristic
1142C2×C22⋊C4C23×C7311yescharacteristic
1143C2×C22⋊C4C23×C7311yescharacteristic
1144C2×C22⋊C4C23×C7311yescharacteristic
1145C2×C22⋊C4C23×C7311yescharacteristic
1146C2×C22⋊C4C23×C7311yescharacteristic
1147C2×C22⋊C4C23×C7311yescharacteristic
1148C2×C22⋊C4C23×C7311yescharacteristic
1149C2×C22⋊C4C23×C7311yescharacteristic
1150C2×C22⋊C4C23×C7311yescharacteristic
1151C2×C22⋊C4C23×C7311yescharacteristic
1152C2×C22⋊C4C23×C7311yescharacteristic
1153C2×C22⋊C4C23×C7311yescharacteristic
1154C2×C22⋊C4C23×C7311yescharacteristic
1155C2×C22⋊C4C23×C7311yescharacteristic
1156C2×C22⋊C4C23×C7311yescharacteristic
1157C2×C22⋊C4C23×C7311yescharacteristic
1158C2×C22⋊C4C23×C7311yescharacteristic
1159C2×C22⋊C4C23×C7311yescharacteristic
1160C2×C22⋊C4C23×C7311yescharacteristic
1161C2×C22⋊C4C23×C7311yescharacteristic
1162C2×C22⋊C4C23×C7311yescharacteristic
1163C2×C22⋊C4C23×C7311yescharacteristic
1164C2×C22⋊C4C23×C7311yescharacteristic
1165C2×C22⋊C4C23×C7311yescharacteristic
1166C2×C22⋊C4C23×C7311yescharacteristic
1167C2×C22⋊C4C23×C7311yescharacteristic
1168C2×C22⋊C4C23×C7311yescharacteristic
1169C2×C22⋊C4C23×C7311yescharacteristic
1170C2×C22⋊C4C23×C7311yescharacteristic
1171C2×C22⋊C4C23×C7311yescharacteristic
1172C2×C22⋊C4C23×C7311yescharacteristic
1173C2×C22⋊C4C23×C7311yescharacteristic
1174C2×C22⋊C4C23×C7311yescharacteristic
1175C2×C22⋊C4C23×C7311yescharacteristic
1176C2×C22⋊C4C23×C7311yescharacteristic
1177C2×C22⋊C4C23×C7311yescharacteristic
1178C2×C22⋊C4C23×C7311yescharacteristic
1179C2×C42—42no—
1180C2×C42C23×C7311yescharacteristic
1181C2×C42C23×C7311yescharacteristic
1182C2×C42C23×C7311yescharacteristic
1183C2×C42C23×C7311yescharacteristic
1184C2×C42C23×C7311yescharacteristic
1185C2×C42C23×C7311yescharacteristic
1186C2×C42C23×C7311yescharacteristic
1187C2×C42C23×C7311yescharacteristic
1188C2×C42C23×C7311yescharacteristic
1189C2×C42C23×C7311yescharacteristic
1190C2×C42C23×C7311yescharacteristic
1191C2×C42C23×C7311yescharacteristic
1192C2×C42C23×C7311yescharacteristic
1193#95C23×C7311yescharacteristic
1194#95C23×C7311yescharacteristic
1195#95C23×C7311yescharacteristic
1196#95C23×C7311yescharacteristic
1197#95C23×C7311yescharacteristic
1198#95C23×C7311yescharacteristic
1199#95C23×C7311yescharacteristic
1200#95C23×C7311yescharacteristic
1201#95C23×C7311yescharacteristic
1202#95C23×C7311yescharacteristic
1203#95C23×C7311yescharacteristic
1204#95C23×C7311yescharacteristic
1205#95C23×C7311yescharacteristic
1206#95C23×C7311yescharacteristic
1207#95C23×C7311yescharacteristic
1208#95C23×C7311yescharacteristic
1209#95C23×C7311yescharacteristic
1210#95C23×C7311yescharacteristic
1211#95C23×C7311yescharacteristic
1212#95C23×C7311yescharacteristic
1213#95C23×C7311yescharacteristic
1214#95C23×C7311yescharacteristic
1215#95C23×C7311yescharacteristic
1216#95C23×C7311yescharacteristic
1217#95C23×C7311yescharacteristic
1218#95C23×C7311yescharacteristic
1219#95C23×C7311yescharacteristic
1220#95C23×C7311yescharacteristic
1221#95C23×C7311yescharacteristic
1222#95C23×C7311yescharacteristic
1223#95C23×C7311yescharacteristic
1224#95C23×C7311yescharacteristic
1225#95C23×C7311yescharacteristic
1226#95C23×C7311yescharacteristic
1227C24—22no—
1228C24—22no—
1229C24—22no—
1230C24—22no—
1231C24—22no—
1232C24—22no—
1233C24—22no—
1234C24—41no—
1235C24—41no—
1236C24—41no—
1237C24—41no—
1238C24—41no—
1239C24—41no—
1240C24—41no—
1241C24C24×C7311yescharacteristic
1242C24C24×C7311yescharacteristic
1243C24C24×C7311yescharacteristic
1244C24C24×C7311yescharacteristic
1245C24C24×C7311yescharacteristic
1246C24C24×C7311yescharacteristic
1247#41—416no—
1248C2×Q8—22no—
1249C2×Q8—22no—
1250C2×Q8—22no—
1251C2×Q8—22no—
1252C2×Q8—41no—
1253C2×Q8—41no—
1254C2×D4—22no—
1255C2×D4—22no—
1256C2×D4—22no—
1257C2×D4—22no—
1258C2×D4—22no—
1259C2×D4—22no—
1260C2×D4—22no—
1261C2×D4—22no—
1262C2×D4—22no—
1263C2×D4—22no—
1264C2×D4—22no—
1265C2×D4—22no—
1266C2×D4—22no—
1267C2×D4—22no—
1268C2×D4—22no—
1269C2×D4—22no—
1270C2×D4—22no—
1271C2×D4—41no—
1272C2×D4—41no—
1273C2×D4—41no—
1274C2×D4—41no—
1275C2×D4—41no—
1276C2×D4—41no—
1277C2×D4—41no—
1278C2×D4—41no—
1279C2×D4—416no—
1280C2×D4C2×D4×C7314yes—
1281C2×D4#41×C7314yes—
1282C22×C4—22no—
1283C22×C4—22no—
1284C22×C4—22no—
1285C22×C4—22no—
1286C22×C4—22no—
1287C22×C4—22no—
1288C22×C4—22no—
1289C22×C4—22no—
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—41no—
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×C4C2×D4×C7314yes—
1318C22×C4C24×C7311yescharacteristic
1319C22×C4C24×C7311yescharacteristic
1320C22×C4C24×C7311yescharacteristic
1321C22×C4C24×C7311yescharacteristic
1322C22×C4C24×C7311yescharacteristic
1323C22×C4C24×C7311yescharacteristic
1324C22×C4C24×C7311yescharacteristic
1325C22×C4C24×C7311yescharacteristic
1326C22×C4C24×C7311yescharacteristic
1327C22×C4C24×C7311yescharacteristic
1328C22×C4C24×C7311yescharacteristic
1329C22×C4C24×C7311yescharacteristic
1330C22×C4C24×C7311yescharacteristic
1331C22×C4C24×C7311yescharacteristic
1332C22×C4C24×C7311yescharacteristic
1333C22×C4C24×C7311yescharacteristic
1334C22×C4C24×C7311yescharacteristic
1335C22×C4C24×C7311yescharacteristic
1336C22×C4C24×C7311yescharacteristic
1337C22×C4C24×C7311yescharacteristic
1338C22×C4C24×C7311yescharacteristic
1339C22×C4C24×C7311yescharacteristic
1340C22×C4C24×C7311yescharacteristic
1341C22×C4C24×C7311yescharacteristic
1342C22×C4C24×C7311yescharacteristic
1343C4⋊C4—22no—
1344C4⋊C4—22no—
1345C4⋊C4—22no—
1346C4⋊C4—22no—
1347C4⋊C4—22no—
1348C4⋊C4—22no—
1349C4⋊C4—22no—
1350C4⋊C4—22no—
1351C4⋊C4—22no—
1352C4⋊C4—22no—
1353C4⋊C4—22no—
1354C4⋊C4—22no—
1355C4⋊C4—22no—
1356C4⋊C4—22no—
1357C4⋊C4—22no—
1358C4⋊C4—22no—
1359C4⋊C4—22no—
1360C4⋊C4—22no—
1361C4⋊C4—41no—
1362C4⋊C4—41no—
1363C4⋊C4—41no—
1364C4⋊C4—41no—
1365C4⋊C4—41no—
1366C4⋊C4—41no—
1367C4⋊C4—41no—
1368C4⋊C4—41no—
1369C4⋊C4—41no—
1370C4⋊C4C2×D4×C7314yes—
1371C4⋊C4C2×D4×C7314yes—
1372C22⋊C4—22no—
1373C22⋊C4—22no—
1374C22⋊C4—22no—
1375C22⋊C4—22no—
1376C22⋊C4—22no—
1377C22⋊C4—22no—
1378C22⋊C4—22no—
1379C22⋊C4—22no—
1380C22⋊C4—22no—
1381C22⋊C4—22no—
1382C22⋊C4—22no—
1383C22⋊C4—22no—
1384C22⋊C4—22no—
1385C22⋊C4—22no—
1386C22⋊C4—22no—
1387C22⋊C4—22no—
1388C22⋊C4—22no—
1389C22⋊C4—22no—
1390C22⋊C4—22no—
1391C22⋊C4—22no—
1392C22⋊C4—22no—
1393C22⋊C4—22no—
1394C22⋊C4—22no—
1395C22⋊C4—22no—
1396C22⋊C4—22no—
1397C22⋊C4—22no—
1398C22⋊C4—22no—
1399C22⋊C4—41no—
1400C22⋊C4—41no—
1401C22⋊C4—41no—
1402C22⋊C4—41no—
1403C22⋊C4—41no—
1404C22⋊C4—41no—
1405C22⋊C4—41no—
1406C22⋊C4—41no—
1407C22⋊C4—41no—
1408C22⋊C4—41no—
1409C22⋊C4—41no—
1410C22⋊C4—41no—
1411C22⋊C4—41no—
1412C22⋊C4—41no—
1413C22⋊C4—41no—
1414C22⋊C4—41no—
1415C22⋊C4—41no—
1416C22⋊C4—41no—
1417C22⋊C4—41no—
1418C22⋊C4—41no—
1419C22⋊C4—41no—
1420C22⋊C4—41no—
1421C22⋊C4—41no—
1422C22⋊C4C2×D4×C7314yes—
1423C22⋊C4C2×D4×C7314yes—
1424C22⋊C4C2×D4×C7314yes—
1425C22⋊C4#41×C7314yescomplemented
1426C42—22no—
1427C42—22no—
1428C42—22no—
1429C42—22no—
1430C42—22no—
1431C42—22no—
1432C42—22no—
1433C42—41no—
1434C42—41no—
1435C42—41no—
1436C42—41no—
1437C42—41no—
1438C42—41no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—21no—
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—44no—
1476C23—44no—
1477C23—44no—
1478C23—44no—
1479C23—44no—
1480C23—44no—
1481C23—44no—
1482C23—82no—
1483C23—82no—
1484C23—82no—
1485C23—82no—
1486C23—82no—
1487C23—82no—
1488C23—82no—
1489C23C22×D4×C7312yes—
1490C23C22×D4×C7312yes—
1491C23C2×#41×C7312yes—
1492C23C2×#41×C7312yes—
1493C23C2×#41×C7312yes—
1494C23H(5,𝔽2)×C7312yes—
1495C23C25×C7311yescharacteristic
1496Q8—44no—
1497Q8—44no—
1498D4—28no—
1499D4—28no—
1500D4—44no—
1501D4—44no—
1502D4—44no—
1503D4—44no—
1504D4—44no—
1505D4—82no—
1506D4—82no—
1507C2×C4—28no—
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—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—44no—
1576C2×C4—44no—
1577C2×C4—44no—
1578C2×C4—44no—
1579C2×C4—44no—
1580C2×C4—44no—
1581C2×C4—44no—
1582C2×C4—44no—
1583C2×C4—82no—
1584C2×C4—82no—
1585C2×C4—82no—
1586C2×C4C22×D4×C7312yes—
1587C2×C4C22×D4×C7312yes—
1588C2×C4C22×D4×C7312yes—
1589C2×C4C22×D4×C7312yes—
1590C2×C4C22×D4×C7312yes—
1591C2×C4C2×#41×C7312yes—
1592C2×C4C2×#41×C7312yes—
1593C2×C4C2×#41×C7312yes—
1594C22—22no—
1595C22—22no—
1596C22—22no—
1597C22—22no—
1598C22—22no—
1599C22—22no—
1600C22—22no—
1601C22—22no—
1602C22—22no—
1603C22—22no—
1604C22—22no—
1605C22—22no—
1606C22—22no—
1607C22—22no—
1608C22—22no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—41no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—41no—
1633C22—41no—
1634C22—41no—
1635C22—88no—
1636C22—88no—
1637C22#546×C7314yes—
1638C22C23×D4×C7311yescharacteristic
1639C22C22×#41×C7311yescharacteristic
1640C22C22×#41×C7311yescharacteristic
1641C22C2×H(5,𝔽2)×C7311yescharacteristic
1642C22#585×C7311yescharacteristic
1643C22#585×C7311yescharacteristic
1644C22#585×C7311yescharacteristic
1645C4—22no—
1646C4—22no—
1647C4—22no—
1648C4—22no—
1649C4—22no—
1650C4—22no—
1651C4—22no—
1652C4—22no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—41no—
1658C4—41no—
1659C4—41no—
1660C4—41no—
1661C4—41no—
1662C4—41no—
1663C4—41no—
1664C4—41no—
1665C4—41no—
1666C4—41no—
1667C4—41no—
1668C4—41no—
1669C4—41no—
1670C2—24no—
1671C2—42no—
1672C2—42no—
1673C2—42no—
1674C2—81no—
1675C2—81no—
1676C2C2×#546×C7311yescharacteristic
1677C2D4×#41×C7311yescharacteristic
1678C2C73×#347511yescharacteristic
1679C2C73×#350011yescharacteristic
1680C2C73×#351311yescharacteristic
1681C2C73×#352111yescharacteristic
1682C2C73×#353311yescharacteristic
subgroupG/H
center, socleC23×C73C25
commutator, Frattini, cosocleC23C25×C73
prime radicalC2×#546×C73C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C73 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×#552×C73C2semidirect
3. C73×#2711C2semidirect
4. C73×#2700C2semidirect
5. C73×#2690C2semidirect
6. C73×#2685C2semidirect
7. C73×#2559C2semidirect
8. C73×#2558C2semidirect
9. C73×#2556C2semidirect
10. C73×#2521C2semidirect
11. C73×#2490C2semidirect
12. C73×#2482C2semidirect
13. C73×#2480C2semidirect
14. C73×#2476C2semidirect
15. C73×#2472C2semidirect
16. C73×#2472C2semidirect
17. C73×#2460C2semidirect
18. C73×#2458C2semidirect
19. C73×#2450C2semidirect
20. C73×#2444C2semidirect
21. C73×#2425C2semidirect
22. C73×#2411C2semidirect
23. C73×#2406C2semidirect
24. C73×#2405C2semidirect
25. C73×#2367C2semidirect
26. C73×#2359C2semidirect
27. C73×#2342C2semidirect
28. D4×C22⋊C4×C73C2semidirect
29. C4×#123×C73C2semidirect
30. C73×#2297C2semidirect
31. C2×#388×C73C2semidirect
36. C2×#126×C73C22semidirect
37. C2×#126×C73C22semidirect
38. C2×#125×C73C22semidirect
39. C2×#125×C73C22semidirect
40. C2×#125×C73C22semidirect
47. C2×#123×C73C22semidirect
49. C2×C22⋊Q8×C73C22semidirect
50. C2×C22⋊Q8×C73C22semidirect
56. C2×C4×Q8×C73C22semidirect
61. C2×#117×C73C22semidirect
62. C2×#117×C73C22semidirect
63. C2×#117×C73C22semidirect
64. C22×C4⋊C4×C73C22semidirect
70. C22×C42×C73C22semidirect
71. #400×C73C22semidirect
72. #400×C73C22semidirect
74. #399×C73C22semidirect
75. #398×C73C22semidirect
76. #398×C73C22semidirect
79. #397×C73C22semidirect
80. #397×C73C22semidirect
81. #397×C73C22semidirect
82. #397×C73C22semidirect
84. #396×C73C22semidirect
85. #396×C73C22semidirect
86. #396×C73C22semidirect
87. #395×C73C22semidirect
88. #395×C73C22semidirect
95. #394×C73C22semidirect
96. #394×C73C22semidirect
97. #394×C73C22semidirect
98. #394×C73C22semidirect
99. #394×C73C22semidirect
100. #394×C73C22semidirect
101. #393×C73C22semidirect
102. #393×C73C22semidirect
103. #391×C73C22semidirect
104. #391×C73C22semidirect
105. #391×C73C22semidirect
109. #390×C73C22semidirect
110. #390×C73C22semidirect
111. #390×C73C22semidirect
112. #390×C73C22semidirect
113. #389×C73C22semidirect
114. #389×C73C22semidirect
123. #388×C73C22semidirect
124. #388×C73C22semidirect
125. #388×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. #387×C73C22semidirect
138. #387×C73C22semidirect
139. #387×C73C22semidirect
140. #387×C73C22semidirect
141. #387×C73C22semidirect
142. #387×C73C22semidirect
149. #386×C73C22semidirect
150. #386×C73C22semidirect
151. #386×C73C22semidirect
152. #386×C73C22semidirect
153. #386×C73C22semidirect
156. #385×C73C22semidirect
157. #385×C73C22semidirect
158. #385×C73C22semidirect
159. #385×C73C22semidirect
160. #385×C73C22semidirect
161. #385×C73C22semidirect
162. #385×C73C22semidirect
163. #385×C73C22semidirect
164. #385×C73C22semidirect
165. #381×C73C22semidirect
166. #381×C73C22semidirect
168. #380×C73C22semidirect
169. #380×C73C22semidirect
175. C4×C4⋊C4×C73C22semidirect
176. C4×C4⋊C4×C73C22semidirect
177. 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
185. C4×C22⋊C4×C73C22semidirect
186. C4×C22⋊C4×C73C22semidirect
187. C2×#95×C73C22semidirect
188. C2×#95×C73C22semidirect
583. C22⋊C4×C73#41semidirect
828. #59804C73direct (N × H)
842. C2×#552C2×C73semidirect
844. #2711C2×C73semidirect
845. #2700C2×C73semidirect
846. #2690C2×C73semidirect
847. #2685C2×C73semidirect
848. #2559C2×C73semidirect
849. #2558C2×C73semidirect
850. #2556C2×C73semidirect
851. #2521C2×C73semidirect
852. #2490C2×C73semidirect
853. #2482C2×C73semidirect
854. #2480C2×C73semidirect
855. #2476C2×C73semidirect
856. #2472C2×C73semidirect
857. #2472C2×C73semidirect
858. #2460C2×C73semidirect
859. #2458C2×C73semidirect
860. #2450C2×C73semidirect
861. #2444C2×C73semidirect
862. #2425C2×C73semidirect
863. #2411C2×C73semidirect
864. #2406C2×C73semidirect
865. #2405C2×C73semidirect
866. #2367C2×C73semidirect
867. #2359C2×C73semidirect
868. #2342C2×C73semidirect
869. D4×C22⋊C4C2×C73semidirect
870. C4×#123C2×C73semidirect
871. #2297C2×C73semidirect
872. C2×#388C2×C73semidirect
873. C73#59804direct (N × H)
878. C2×#126C22×C73semidirect
879. C2×#126C22×C73semidirect
880. C2×#125C22×C73semidirect
881. C2×#125C22×C73semidirect
882. C2×#125C22×C73semidirect
889. C2×#123C22×C73semidirect
891. C2×C22⋊Q8C22×C73semidirect
892. C2×C22⋊Q8C22×C73semidirect
898. C2×C4×Q8C22×C73semidirect
903. C2×#117C22×C73semidirect
904. C2×#117C22×C73semidirect
905. C2×#117C22×C73semidirect
906. C22×C4⋊C4C22×C73semidirect
912. C22×C42C22×C73semidirect
913. #400C22×C73semidirect
914. #400C22×C73semidirect
916. #399C22×C73semidirect
917. #398C22×C73semidirect
918. #398C22×C73semidirect
921. #397C22×C73semidirect
922. #397C22×C73semidirect
923. #397C22×C73semidirect
924. #397C22×C73semidirect
926. #396C22×C73semidirect
927. #396C22×C73semidirect
928. #396C22×C73semidirect
929. #395C22×C73semidirect
930. #395C22×C73semidirect
937. #394C22×C73semidirect
938. #394C22×C73semidirect
939. #394C22×C73semidirect
940. #394C22×C73semidirect
941. #394C22×C73semidirect
942. #394C22×C73semidirect
943. #393C22×C73semidirect
944. #393C22×C73semidirect
945. #391C22×C73semidirect
946. #391C22×C73semidirect
947. #391C22×C73semidirect
951. #390C22×C73semidirect
952. #390C22×C73semidirect
953. #390C22×C73semidirect
954. #390C22×C73semidirect
955. #389C22×C73semidirect
956. #389C22×C73semidirect
965. #388C22×C73semidirect
966. #388C22×C73semidirect
967. #388C22×C73semidirect
968. #388C22×C73semidirect
969. #388C22×C73semidirect
970. #388C22×C73semidirect
971. #388C22×C73semidirect
972. #388C22×C73semidirect
973. #388C22×C73semidirect
974. #388C22×C73semidirect
975. #388C22×C73semidirect
976. #388C22×C73semidirect
977. #388C22×C73semidirect
978. #388C22×C73semidirect
979. #387C22×C73semidirect
980. #387C22×C73semidirect
981. #387C22×C73semidirect
982. #387C22×C73semidirect
983. #387C22×C73semidirect
984. #387C22×C73semidirect
991. #386C22×C73semidirect
992. #386C22×C73semidirect
993. #386C22×C73semidirect
994. #386C22×C73semidirect
995. #386C22×C73semidirect
998. #385C22×C73semidirect
999. #385C22×C73semidirect
1000. #385C22×C73semidirect
1001. #385C22×C73semidirect
1002. #385C22×C73semidirect
1003. #385C22×C73semidirect
1004. #385C22×C73semidirect
1005. #385C22×C73semidirect
1006. #385C22×C73semidirect
1007. #381C22×C73semidirect
1008. #381C22×C73semidirect
1010. #380C22×C73semidirect
1011. #380C22×C73semidirect
1017. C4×C4⋊C4C22×C73semidirect
1018. C4×C4⋊C4C22×C73semidirect
1019. C4×C4⋊C4C22×C73semidirect
1021. C4×C22⋊C4C22×C73semidirect
1022. C4×C22⋊C4C22×C73semidirect
1023. C4×C22⋊C4C22×C73semidirect
1024. C4×C22⋊C4C22×C73semidirect
1025. C4×C22⋊C4C22×C73semidirect
1026. C4×C22⋊C4C22×C73semidirect
1027. C4×C22⋊C4C22×C73semidirect
1028. C4×C22⋊C4C22×C73semidirect
1029. C2×#95C22×C73semidirect
1030. C2×#95C22×C73semidirect
1425. C22⋊C4#41×C73semidirect

Maximal subgroups

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

subgroupindex
C2×#552×C732
C2×#546×C732
C73×#27112
C73×#27002
C73×#26902
C73×#26852
C73×#25592
C73×#25582
C73×#25562
C73×#25212
C73×#24902
C73×#24822
C73×#24802
C73×#24762
C73×#24722
C73×#24602
C73×#24582
C73×#24502
C73×#24442
C73×#24252
C73×#24112
C73×#24062
C73×#24052
C73×#23672
C73×#23592
C73×#23422
D4×C22⋊C4×C732
C4×#123×C732
C73×#22972
C2×#388×C732
#5980473