Finite Group Databasebeta

← C73×#36713 #32946117

Subgroups — C73×#36713 #32946117

Order 18688.

2620 conjugacy classes of subgroups.

The subgroup lattice has 1812 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#540×C73C211yesmaximal, characteristic, complemented
2C2×#525×C73C211yesmaximal, characteristic, complemented
3C73×#2849C211yesmaximal, characteristic, complemented
4C73×#2847C211yesmaximal, characteristic, complemented
5C73×#2694C211yesmaximal, characteristic, complemented
6C73×#2693C211yesmaximal, characteristic, complemented
7C73×#2690C211yesmaximal, characteristic, complemented
8C73×#2688C211yesmaximal, characteristic, complemented
9C73×#2687C211yesmaximal, characteristic, complemented
10C73×#2678C211yesmaximal, characteristic, complemented
11C73×#2676C211yesmaximal, characteristic, complemented
12C73×#2675C211yesmaximal, characteristic, complemented
13C73×#2673C211yesmaximal, characteristic, complemented
14C73×#2673C211yesmaximal, characteristic, complemented
15C73×#2672C211yesmaximal, characteristic, complemented
16C73×#2671C211yesmaximal, characteristic, complemented
17C73×#2671C211yesmaximal, characteristic, complemented
18C73×#2669C211yesmaximal, characteristic, complemented
19C73×#2669C211yesmaximal, characteristic, complemented
20C73×#2668C211yesmaximal, characteristic, complemented
21C73×#2635C211yesmaximal, characteristic, complemented
22C73×#2630C211yesmaximal, characteristic, complemented
23C73×#2609C211yesmaximal, characteristic, complemented
24C73×#2602C211yesmaximal, characteristic, complemented
25C73×#2598C211yesmaximal, characteristic, complemented
26C73×#2598C211yesmaximal, characteristic, complemented
27C73×#2543C211yesmaximal, characteristic, complemented
28C73×#2535C211yesmaximal, characteristic, complemented
29C73×#2431C211yesmaximal, characteristic, complemented
30C73×#2430C211yesmaximal, characteristic, complemented
31C73×#2318C211yesmaximal, characteristic, complemented
32C22×#41×C73C2211yescharacteristic
33C24×C4×C73C2211yescharacteristic
34#540×C73—28no—
35C2×#127×C73C2211yescharacteristic
36C2×#127×C73C2211yescharacteristic
37C2×#125×C73C2211yescharacteristic, complemented
38C2×#124×C73C2211yescharacteristic, complemented
39#525×C73—28no—
40C2×#123×C73C2211yescharacteristic
41C2×#123×C73C2211yescharacteristic
42C2×#123×C73C2211yescharacteristic
43C2×#123×C73C2211yescharacteristic
44C2×#123×C73C2211yescharacteristic
45C2×#123×C73C2211yescharacteristic, complemented
46C2×#123×C73C2211yescharacteristic, complemented
47C2×C22⋊Q8×C73C2211yescharacteristic
48C2×C22⋊Q8×C73C2211yescharacteristic
49C2×#121×C73C2211yescharacteristic
50C2×#121×C73C2211yescharacteristic
51C2×#121×C73C2211yescharacteristic
52C2×#121×C73C2211yescharacteristic
53C2×#121×C73C2211yescharacteristic
54C2×#121×C73C2211yescharacteristic
55C2×#121×C73C2211yescharacteristic
56C2×#121×C73C2211yescharacteristic
57C2×#121×C73C2211yescharacteristic
58C2×#121×C73C2211yescharacteristic
59C2×#121×C73C2211yescharacteristic
60C2×#121×C73C2211yescharacteristic
61C2×#121×C73C2211yescharacteristic, complemented
62C2×#121×C73C2211yescharacteristic, complemented
63C2×#121×C73C2211yescharacteristic, complemented
64C2×#121×C73C2211yescharacteristic, complemented
65C2×#120×C73C2211yescharacteristic
66C2×#120×C73C2211yescharacteristic
67C2×#120×C73C2211yescharacteristic
68C2×#120×C73C2211yescharacteristic
69C2×#120×C73C2211yescharacteristic
70C2×C4×D4×C73C2211yescharacteristic
71C2×C4×D4×C73C2211yescharacteristic
72C2×C4×D4×C73C2211yescharacteristic
73C2×C4×D4×C73C2211yescharacteristic
74C2×C4×D4×C73C2211yescharacteristic, complemented
75C2×#117×C73C2211yescharacteristic
76C2×#117×C73C2211yescharacteristic, complemented
77#400×C73C2211yescharacteristic, complemented
78#400×C73C2211yescharacteristic, complemented
79#400×C73C2211yescharacteristic, complemented
80#399×C73C2211yescharacteristic
81#399×C73C2211yescharacteristic, complemented
82#399×C73C2211yescharacteristic, complemented
83#398×C73C2211yescharacteristic, complemented
84#398×C73C2211yescharacteristic, complemented
85#398×C73C2211yescharacteristic, complemented
86#397×C73C2211yescharacteristic
87#397×C73C2211yescharacteristic
88#397×C73C2211yescharacteristic
89#397×C73C2211yescharacteristic, complemented
90#397×C73C2211yescharacteristic, complemented
91#396×C73C2211yescharacteristic
92#396×C73C2211yescharacteristic, complemented
93#396×C73C2211yescharacteristic, complemented
94#396×C73C2211yescharacteristic, complemented
95#395×C73C2211yescharacteristic, complemented
96#394×C73C2211yescharacteristic
97#394×C73C2211yescharacteristic
98#394×C73C2211yescharacteristic
99#394×C73C2211yescharacteristic
100#394×C73C2211yescharacteristic
101#394×C73C2211yescharacteristic
102#394×C73C2211yescharacteristic
103#394×C73C2211yescharacteristic
104#394×C73C2211yescharacteristic, complemented
105#394×C73C2211yescharacteristic, complemented
106#394×C73C2211yescharacteristic, complemented
107#394×C73C2211yescharacteristic, complemented
108#394×C73C2211yescharacteristic, complemented
109#393×C73C2211yescharacteristic, complemented
110#392×C73C2211yescharacteristic
111#392×C73C2211yescharacteristic
112#392×C73C2211yescharacteristic
113#392×C73C2211yescharacteristic
114#392×C73C2211yescharacteristic
115#392×C73C2211yescharacteristic
116#392×C73C2211yescharacteristic
117#392×C73C2211yescharacteristic
118#392×C73C2211yescharacteristic
119#392×C73C2211yescharacteristic
120#392×C73C2211yescharacteristic
121#392×C73C2211yescharacteristic, complemented
122#392×C73C2211yescharacteristic, complemented
123#392×C73C2211yescharacteristic, complemented
124#392×C73C2211yescharacteristic, complemented
125#391×C73C2211yescharacteristic, complemented
126#390×C73C2211yescharacteristic
127#390×C73C2211yescharacteristic
128#389×C73C2211yescharacteristic, complemented
129#388×C73C2211yescharacteristic
130#388×C73C2211yescharacteristic
131#388×C73C2211yescharacteristic
132#388×C73C2211yescharacteristic
133#388×C73C2211yescharacteristic
134#388×C73C2211yescharacteristic, complemented
135#388×C73C2211yescharacteristic, complemented
136#388×C73C2211yescharacteristic, complemented
137#388×C73C2211yescharacteristic, complemented
138#388×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
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, complemented
161#386×C73C2211yescharacteristic, complemented
162#386×C73C2211yescharacteristic, complemented
163#386×C73C2211yescharacteristic, complemented
164#386×C73C2211yescharacteristic, complemented
165#386×C73C2211yescharacteristic, complemented
166#386×C73C2211yescharacteristic, complemented
167#385×C73C2211yescharacteristic
168#385×C73C2211yescharacteristic
169#385×C73C2211yescharacteristic
170#385×C73C2211yescharacteristic
171#385×C73C2211yescharacteristic, complemented
172#385×C73C2211yescharacteristic, complemented
173#385×C73C2211yescharacteristic, complemented
174#385×C73C2211yescharacteristic, complemented
175#385×C73C2211yescharacteristic, complemented
176#385×C73C2211yescharacteristic, complemented
177#383×C73C2211yescharacteristic, complemented
178#382×C73C2211yescharacteristic, complemented
179#381×C73C2211yescharacteristic
180#381×C73C2211yescharacteristic
181#380×C73C2211yescharacteristic
182#380×C73C2211yescharacteristic
183#380×C73C2211yescharacteristic
184#380×C73C2211yescharacteristic, complemented
185#380×C73C2211yescharacteristic, complemented
186#379×C73C2211yescharacteristic
187C4×C22⋊C4×C73C2211yescharacteristic, complemented
188C2×#95×C73C2211yescharacteristic, complemented
189C25×C73C2311yescharacteristic
190C2×#41×C73—24no—
191C2×#41×C73—42no—
192C2×#41×C73—42no—
193C22×Q8×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
205C22×D4×C73C2311yescharacteristic
206C22×D4×C73C2311yescharacteristic
207C22×D4×C73C2311yescharacteristic
208C22×D4×C73C2311yescharacteristic
209C22×D4×C73C2311yescharacteristic
210C22×D4×C73C2311yescharacteristic
211C22×D4×C73C2311yescharacteristic
212C22×D4×C73C2311yescharacteristic
213C22×D4×C73C2311yescharacteristic
214C22×D4×C73C2311yescharacteristic
215C22×D4×C73C2311yescharacteristic
216C22×D4×C73C2311yescharacteristic
217C22×D4×C73C2311yescharacteristic
218C22×D4×C73C2311yescharacteristic
219C23×C4×C73—24no—
220C23×C4×C73—42no—
221C23×C4×C73—42no—
222C23×C4×C73C2311yescharacteristic
223C23×C4×C73C2311yescharacteristic
224C23×C4×C73C2311yescharacteristic
225C23×C4×C73C2311yescharacteristic
226C23×C4×C73C2311yescharacteristic
227C23×C4×C73C2311yescharacteristic
228C23×C4×C73C2311yescharacteristic
229C23×C4×C73C2311yescharacteristic
230C23×C4×C73C2311yescharacteristic
231C23×C4×C73C2311yescharacteristic
232C23×C4×C73C2311yescharacteristic
233C23×C4×C73C2311yescharacteristic
234C23×C4×C73C2311yescharacteristic
235#127×C73—24no—
236#127×C73—42no—
237#125×C73—24no—
238#124×C73—42no—
239#123×C73—24no—
240#123×C73—24no—
241#123×C73—24no—
242#123×C73—24no—
243#123×C73—24no—
244#123×C73—24no—
245#123×C73—42no—
246C22⋊Q8×C73—24no—
247C22⋊Q8×C73—24no—
248#121×C73—24no—
249#121×C73—24no—
250#121×C73—24no—
251#121×C73—24no—
252#121×C73—24no—
253#121×C73—24no—
254#121×C73—24no—
255#121×C73—24no—
256#121×C73—42no—
257#121×C73—42no—
258#121×C73—42no—
259#121×C73—42no—
260#121×C73—42no—
261#121×C73—42no—
262#121×C73—42no—
263#121×C73—42no—
264#120×C73—24no—
265#120×C73—24no—
266#120×C73—42no—
267#120×C73—42no—
268#120×C73—42no—
269C4×D4×C73—24no—
270C4×D4×C73—24no—
271C4×D4×C73—24no—
272C4×D4×C73—24no—
273C4×D4×C73D418yescomplemented
274#117×C73—24no—
275#117×C73—24no—
276C2×C4⋊C4×C73C2311yescharacteristic
277C2×C4⋊C4×C73C2311yescharacteristic
278C2×C4⋊C4×C73C2311yescharacteristic
279C2×C4⋊C4×C73C2311yescharacteristic
280C2×C4⋊C4×C73C2311yescharacteristic
281C2×C4⋊C4×C73C2311yescharacteristic
282C2×C4⋊C4×C73C2311yescharacteristic
283C2×C4⋊C4×C73C2311yescharacteristic
284C2×C4⋊C4×C73C2311yescharacteristic
285C2×C4⋊C4×C73C2311yescharacteristic
286C2×C4⋊C4×C73C2311yescharacteristic
287C2×C4⋊C4×C73C2311yescharacteristic
288C2×C4⋊C4×C73C2311yescharacteristic
289C2×C4⋊C4×C73C2311yescharacteristic
290C2×C4⋊C4×C73C2311yescharacteristic
291C2×C4⋊C4×C73C2311yescharacteristic
292C2×C4⋊C4×C73C2311yescharacteristic
293C2×C4⋊C4×C73C2311yescharacteristic
294C2×C4⋊C4×C73C2311yescharacteristic
295C2×C4⋊C4×C73C2311yescharacteristic
296C2×C4⋊C4×C73C2311yescharacteristic
297C2×C4⋊C4×C73C2311yescharacteristic
298C2×C4⋊C4×C73C2311yescharacteristic
299C2×C4⋊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×C22⋊C4×C73C2311yescharacteristic
338C2×C22⋊C4×C73C2311yescharacteristic
339C2×C22⋊C4×C73C2311yescharacteristic
340C2×C22⋊C4×C73C2311yescharacteristic
341C2×C22⋊C4×C73C2311yescharacteristic
342C2×C22⋊C4×C73C2311yescharacteristic
343C2×C22⋊C4×C73C2311yescharacteristic
344C2×C22⋊C4×C73C2311yescharacteristic
345C2×C22⋊C4×C73C2311yescharacteristic
346C2×C22⋊C4×C73C2311yescharacteristic
347C2×C22⋊C4×C73C2311yescharacteristic
348C2×C22⋊C4×C73C2311yescharacteristic
349C2×C22⋊C4×C73C2311yescharacteristic
350C2×C22⋊C4×C73C2311yescharacteristic
351C2×C22⋊C4×C73C2311yescharacteristic
352C2×C22⋊C4×C73C2311yescharacteristic
353C2×C22⋊C4×C73C2311yescharacteristic
354C2×C42×C73C2311yescharacteristic
355C2×C42×C73C2311yescharacteristic
356C2×C42×C73C2311yescharacteristic
357C2×C42×C73C2311yescharacteristic
358C2×C42×C73C2311yescharacteristic
359#95×C73C2311yescharacteristic
360#95×C73C2311yescharacteristic
361#95×C73C2311yescharacteristic
362#95×C73C2311yescharacteristic
363#95×C73C2311yescharacteristic
364#95×C73C2311yescharacteristic
365#95×C73C2311yescharacteristic
366#95×C73C2311yescharacteristic
367#95×C73C2311yescharacteristic
368#95×C73C2311yescharacteristic
369#95×C73C2311yescharacteristic
370#95×C73C2311yescharacteristic
371#95×C73C2311yescharacteristic
372#95×C73C2311yescharacteristic
373#95×C73C2311yescharacteristic
374#95×C73C2311yescharacteristic
375#95×C73C2311yescharacteristic
376#95×C73C2311yescharacteristic
377#95×C73C2311yescharacteristic
378#95×C73C2311yescharacteristic
379#95×C73C2311yescharacteristic
380#95×C73C2311yescharacteristic
381#95×C73C2311yescharacteristic
382#95×C73C2311yescharacteristic
383#95×C73C2311yescharacteristic
384#95×C73C2311yescharacteristic
385#95×C73C2311yescharacteristic
386#95×C73C2311yescharacteristic
387#95×C73C2311yescharacteristic
388#95×C73C2311yescharacteristic
389#95×C73C2311yescharacteristic
390#95×C73C2311yescharacteristic
391C24×C73—22no—
392C24×C73—22no—
393C24×C73—22no—
394C24×C73—41no—
395C24×C73—41no—
396C24×C73—41no—
397C24×C73—41no—
398C24×C73C2411yescharacteristic
399C24×C73C2411yescharacteristic
400C24×C73C2411yescharacteristic
401C24×C73C2411yescharacteristic
402C24×C73C2411yescharacteristic
403C24×C73C2411yescharacteristic
404C24×C73C2411yescharacteristic
405C24×C73C2411yescharacteristic
406#41×C73—416no—
407C2×Q8×C73—22no—
408C2×Q8×C73—22no—
409C2×Q8×C73—41no—
410C2×D4×C73—22no—
411C2×D4×C73—22no—
412C2×D4×C73—22no—
413C2×D4×C73—22no—
414C2×D4×C73—22no—
415C2×D4×C73—22no—
416C2×D4×C73—22no—
417C2×D4×C73—22no—
418C2×D4×C73—22no—
419C2×D4×C73—22no—
420C2×D4×C73—22no—
421C2×D4×C73—22no—
422C2×D4×C73—22no—
423C2×D4×C73—22no—
424C2×D4×C73—22no—
425C2×D4×C73—22no—
426C2×D4×C73—22no—
427C2×D4×C73—22no—
428C2×D4×C73—22no—
429C2×D4×C73—22no—
430C2×D4×C73—22no—
431C2×D4×C73—22no—
432C2×D4×C73—22no—
433C2×D4×C73—22no—
434C2×D4×C73—22no—
435C2×D4×C73—22no—
436C2×D4×C73—41no—
437C2×D4×C73—41no—
438C2×D4×C73—41no—
439C2×D4×C73—41no—
440C2×D4×C73—41no—
441C2×D4×C73—41no—
442C2×D4×C73—41no—
443C2×D4×C73—41no—
444C2×D4×C73—41no—
445C2×D4×C73—41no—
446C2×D4×C73—41no—
447C2×D4×C73—41no—
448C2×D4×C73—41no—
449C2×D4×C73—41no—
450C2×D4×C73—41no—
451C2×D4×C73—41no—
452C2×D4×C73—41no—
453C2×D4×C73—41no—
454C2×D4×C73—41no—
455C2×D4×C73—41no—
456C2×D4×C73—41no—
457C2×D4×C73—41no—
458C2×D4×C73—41no—
459C2×D4×C73—41no—
460C2×D4×C73—41no—
461C2×D4×C73—41no—
462C2×D4×C73—41no—
463C2×D4×C73—41no—
464C2×D4×C73—41no—
465C2×D4×C73—41no—
466C2×D4×C73—41no—
467C2×D4×C73—41no—
468C2×D4×C73—41no—
469C2×D4×C73—41no—
470C2×D4×C73—41no—
471C2×D4×C73—41no—
472C2×D4×C73—41no—
473C2×D4×C73—41no—
474C2×D4×C73—41no—
475C2×D4×C73—41no—
476C2×D4×C73—41no—
477C2×D4×C73—41no—
478C2×D4×C73—41no—
479C2×D4×C73—41no—
480C2×D4×C73—41no—
481C2×D4×C73—41no—
482C2×D4×C73—41no—
483C2×D4×C73—41no—
484C2×D4×C73C2×D414yes—
485C22×C4×C73—22no—
486C22×C4×C73—22no—
487C22×C4×C73—22no—
488C22×C4×C73—22no—
489C22×C4×C73—22no—
490C22×C4×C73—22no—
491C22×C4×C73—22no—
492C22×C4×C73—22no—
493C22×C4×C73—22no—
494C22×C4×C73—22no—
495C22×C4×C73—22no—
496C22×C4×C73—22no—
497C22×C4×C73—22no—
498C22×C4×C73—22no—
499C22×C4×C73—41no—
500C22×C4×C73—41no—
501C22×C4×C73—41no—
502C22×C4×C73—41no—
503C22×C4×C73—41no—
504C22×C4×C73—41no—
505C22×C4×C73—41no—
506C22×C4×C73—41no—
507C22×C4×C73—41no—
508C22×C4×C73—41no—
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—416no—
523C22×C4×C73C2×D414yes—
524C22×C4×C73C2×D414yes—
525C22×C4×C73C2411yescharacteristic
526C22×C4×C73C2411yescharacteristic
527C22×C4×C73C2411yescharacteristic
528C22×C4×C73C2411yescharacteristic
529C22×C4×C73C2411yescharacteristic
530C22×C4×C73C2411yescharacteristic
531C22×C4×C73C2411yescharacteristic
532C22×C4×C73C2411yescharacteristic
533C22×C4×C73C2411yescharacteristic
534C22×C4×C73C2411yescharacteristic
535C22×C4×C73C2411yescharacteristic
536C22×C4×C73C2411yescharacteristic
537C22×C4×C73C2411yescharacteristic
538C22×C4×C73C2411yescharacteristic
539C22×C4×C73C2411yescharacteristic
540C22×C4×C73C2411yescharacteristic
541C22×C4×C73C2411yescharacteristic
542C22×C4×C73C2411yescharacteristic
543C22×C4×C73C2411yescharacteristic
544C22×C4×C73C2411yescharacteristic
545C22×C4×C73C2411yescharacteristic
546C22×C4×C73C2411yescharacteristic
547C22×C4×C73C2411yescharacteristic
548C4⋊C4×C73—22no—
549C4⋊C4×C73—22no—
550C4⋊C4×C73—22no—
551C4⋊C4×C73—22no—
552C4⋊C4×C73—22no—
553C4⋊C4×C73—22no—
554C4⋊C4×C73—22no—
555C4⋊C4×C73—22no—
556C4⋊C4×C73—22no—
557C4⋊C4×C73—22no—
558C4⋊C4×C73—22no—
559C4⋊C4×C73—22no—
560C4⋊C4×C73—22no—
561C4⋊C4×C73—41no—
562C4⋊C4×C73—41no—
563C4⋊C4×C73—41no—
564C4⋊C4×C73—41no—
565C4⋊C4×C73—41no—
566C4⋊C4×C73—41no—
567C4⋊C4×C73—41no—
568C4⋊C4×C73—41no—
569C4⋊C4×C73—41no—
570C4⋊C4×C73—41no—
571C4⋊C4×C73C2×D414yes—
572C22⋊C4×C73—22no—
573C22⋊C4×C73—22no—
574C22⋊C4×C73—22no—
575C22⋊C4×C73—22no—
576C22⋊C4×C73—22no—
577C22⋊C4×C73—22no—
578C22⋊C4×C73—22no—
579C22⋊C4×C73—22no—
580C22⋊C4×C73—22no—
581C22⋊C4×C73—22no—
582C22⋊C4×C73—22no—
583C22⋊C4×C73—22no—
584C22⋊C4×C73—22no—
585C22⋊C4×C73—22no—
586C22⋊C4×C73—22no—
587C22⋊C4×C73—22no—
588C22⋊C4×C73—22no—
589C22⋊C4×C73—22no—
590C22⋊C4×C73—22no—
591C22⋊C4×C73—22no—
592C22⋊C4×C73—22no—
593C22⋊C4×C73—22no—
594C22⋊C4×C73—22no—
595C22⋊C4×C73—41no—
596C22⋊C4×C73—41no—
597C22⋊C4×C73—41no—
598C22⋊C4×C73—41no—
599C22⋊C4×C73—41no—
600C22⋊C4×C73—41no—
601C22⋊C4×C73—41no—
602C22⋊C4×C73—41no—
603C22⋊C4×C73—41no—
604C22⋊C4×C73—41no—
605C22⋊C4×C73—41no—
606C22⋊C4×C73—41no—
607C22⋊C4×C73—41no—
608C22⋊C4×C73—41no—
609C22⋊C4×C73—41no—
610C22⋊C4×C73—41no—
611C22⋊C4×C73—41no—
612C22⋊C4×C73—41no—
613C22⋊C4×C73—41no—
614C22⋊C4×C73—41no—
615C22⋊C4×C73—41no—
616C22⋊C4×C73—41no—
617C22⋊C4×C73—41no—
618C22⋊C4×C73—41no—
619C22⋊C4×C73—41no—
620C22⋊C4×C73—41no—
621C22⋊C4×C73—41no—
622C22⋊C4×C73—41no—
623C22⋊C4×C73—41no—
624C22⋊C4×C73C2×D414yes—
625C22⋊C4×C73C2×D414yes—
626C42×C73—22no—
627C42×C73—22no—
628C42×C73—41no—
629C42×C73—41no—
630C42×C73C2×D414yes—
631C23×C73—21no—
632C23×C73—21no—
633C23×C73—21no—
634C23×C73—21no—
635C23×C73—21no—
636C23×C73—21no—
637C23×C73—21no—
638C23×C73—21no—
639C23×C73—21no—
640C23×C73—21no—
641C23×C73—21no—
642C23×C73—21no—
643C23×C73—21no—
644C23×C73—21no—
645C23×C73—21no—
646C23×C73—21no—
647C23×C73—21no—
648C23×C73—21no—
649C23×C73—21no—
650C23×C73—21no—
651C23×C73—21no—
652C23×C73—21no—
653C23×C73—21no—
654C23×C73—21no—
655C23×C73—21no—
656C23×C73—21no—
657C23×C73—21no—
658C23×C73—21no—
659C23×C73—21no—
660C23×C73—21no—
661C23×C73—21no—
662C23×C73—21no—
663C23×C73—21no—
664C23×C73—21no—
665C23×C73—21no—
666C23×C73—21no—
667C23×C73—21no—
668C23×C73—21no—
669C23×C73—21no—
670C23×C73—21no—
671C23×C73—21no—
672C23×C73—21no—
673C23×C73—21no—
674C23×C73—21no—
675C23×C73—21no—
676C23×C73—21no—
677C23×C73—21no—
678C23×C73—21no—
679C23×C73—21no—
680C23×C73—21no—
681C23×C73—21no—
682C23×C73—21no—
683C23×C73—44no—
684C23×C73—44no—
685C23×C73—44no—
686C23×C73—44no—
687C23×C73—44no—
688C23×C73—44no—
689C23×C73—44no—
690C23×C73C22×D412yes—
691C23×C73C22×D412yes—
692C23×C73H(5,𝔽2)12yes—
693C23×C73H(5,𝔽2)12yes—
694C23×C73C2511yescharacteristic
695Q8×C73—44no—
696D4×C73—44no—
697D4×C73—44no—
698D4×C73—44no—
699D4×C73—44no—
700D4×C73—44no—
701D4×C73—44no—
702D4×C73—44no—
703D4×C73—44no—
704D4×C73—82no—
705D4×C73—82no—
706D4×C73—82no—
707D4×C73—82no—
708D4×C73—82no—
709D4×C73—82no—
710D4×C73—82no—
711D4×C73—82no—
712D4×C73—82no—
713D4×C73—82no—
714D4×C73—82no—
715D4×C73—82no—
716D4×C73—82no—
717D4×C73—82no—
718D4×C73—82no—
719D4×C73—82no—
720D4×C73—82no—
721C2×C4×C73—28no—
722C2×C4×C73—21no—
723C2×C4×C73—21no—
724C2×C4×C73—21no—
725C2×C4×C73—21no—
726C2×C4×C73—21no—
727C2×C4×C73—21no—
728C2×C4×C73—21no—
729C2×C4×C73—21no—
730C2×C4×C73—21no—
731C2×C4×C73—21no—
732C2×C4×C73—21no—
733C2×C4×C73—21no—
734C2×C4×C73—21no—
735C2×C4×C73—21no—
736C2×C4×C73—21no—
737C2×C4×C73—21no—
738C2×C4×C73—21no—
739C2×C4×C73—21no—
740C2×C4×C73—21no—
741C2×C4×C73—21no—
742C2×C4×C73—21no—
743C2×C4×C73—21no—
744C2×C4×C73—21no—
745C2×C4×C73—21no—
746C2×C4×C73—21no—
747C2×C4×C73—21no—
748C2×C4×C73—21no—
749C2×C4×C73—21no—
750C2×C4×C73—21no—
751C2×C4×C73—21no—
752C2×C4×C73—21no—
753C2×C4×C73—21no—
754C2×C4×C73—21no—
755C2×C4×C73—21no—
756C2×C4×C73—21no—
757C2×C4×C73—21no—
758C2×C4×C73—21no—
759C2×C4×C73—21no—
760C2×C4×C73—21no—
761C2×C4×C73—21no—
762C2×C4×C73—21no—
763C2×C4×C73—21no—
764C2×C4×C73—21no—
765C2×C4×C73—21no—
766C2×C4×C73—21no—
767C2×C4×C73—21no—
768C2×C4×C73—21no—
769C2×C4×C73—21no—
770C2×C4×C73—21no—
771C2×C4×C73—21no—
772C2×C4×C73—21no—
773C2×C4×C73—21no—
774C2×C4×C73—21no—
775C2×C4×C73—21no—
776C2×C4×C73—21no—
777C2×C4×C73—21no—
778C2×C4×C73—21no—
779C2×C4×C73—21no—
780C2×C4×C73—21no—
781C2×C4×C73—21no—
782C2×C4×C73—21no—
783C2×C4×C73—21no—
784C2×C4×C73—21no—
785C2×C4×C73—44no—
786C2×C4×C73—44no—
787C2×C4×C73—44no—
788C2×C4×C73—44no—
789C2×C4×C73—44no—
790C2×C4×C73—44no—
791C2×C4×C73—44no—
792C2×C4×C73—44no—
793C2×C4×C73—82no—
794C2×C4×C73—82no—
795C2×C4×C73—82no—
796C2×C4×C73—82no—
797C2×C4×C73C22×D412yes—
798C2×C4×C73C22×D412yes—
799C2×C4×C73C22×D412yes—
800C2×C4×C73C22×D412yes—
801C2×C4×C73C22×D412yes—
802C2×C4×C73H(5,𝔽2)12yes—
803C22×C73—22no—
804C22×C73—22no—
805C22×C73—22no—
806C22×C73—22no—
807C22×C73—22no—
808C22×C73—22no—
809C22×C73—22no—
810C22×C73—22no—
811C22×C73—22no—
812C22×C73—22no—
813C22×C73—22no—
814C22×C73—22no—
815C22×C73—416no—
816C22×C73—41no—
817C22×C73—41no—
818C22×C73—41no—
819C22×C73—41no—
820C22×C73—41no—
821C22×C73—41no—
822C22×C73—41no—
823C22×C73—41no—
824C22×C73—41no—
825C22×C73—41no—
826C22×C73—41no—
827C22×C73—41no—
828C22×C73—41no—
829C22×C73—41no—
830C22×C73—41no—
831C22×C73—41no—
832C22×C73—41no—
833C22×C73—41no—
834C22×C73—41no—
835C22×C73—41no—
836C22×C73—41no—
837C22×C73—41no—
838C22×C73—41no—
839C22×C73—41no—
840C22×C73—41no—
841C22×C73—41no—
842C22×C73—41no—
843C22×C73—41no—
844C22×C73—41no—
845C22×C73—41no—
846C22×C73—41no—
847C22×C73—41no—
848C22×C73—41no—
849C22×C73—41no—
850C22×C73—41no—
851C22×C73—41no—
852C22×C73—41no—
853C22×C73—41no—
854C22×C73—41no—
855C22×C73—41no—
856C22×C73—41no—
857C22×C73—41no—
858C22×C73—41no—
859C22×C73—41no—
860C22×C73C23×D411yescharacteristic
861C22×C73C2×H(5,𝔽2)11yescharacteristic
862C22×C73C2×H(5,𝔽2)11yescharacteristic
863C22×C73C2×H(5,𝔽2)11yescharacteristic
864C22×C73#58511yescharacteristic
865C22×C73#58511yescharacteristic
866C22×C73#58511yescharacteristic
867C4×C73—22no—
868C4×C73—22no—
869C4×C73—22no—
870C4×C73—22no—
871C4×C73—22no—
872C4×C73—22no—
873C4×C73—41no—
874C4×C73—41no—
875C4×C73—41no—
876C4×C73—41no—
877C4×C73—41no—
878C4×C73—41no—
879C4×C73—41no—
880C4×C73—41no—
881C4×C73—41no—
882C4×C73—41no—
883C4×C73—41no—
884C4×C73—41no—
885C4×C73—41no—
886C4×C73—41no—
887C4×C73—41no—
888C4×C73—41no—
889C4×C73—41no—
890#36713C7311yesmaximal, characteristic, direct product factor, Sylow
891C2×C73—42no—
892C2×C73—42no—
893C2×C73—42no—
894C2×C73—42no—
895C2×C73—81no—
896C2×C73—81no—
897C2×C73—81no—
898C2×C73—81no—
899C2×C73#344911yescharacteristic
900C2×C73#348411yescharacteristic
901C2×C73#348811yescharacteristic
902C2×C73#353311yescharacteristic
903C2×C73#353411yescharacteristic
904C2×C73#353911yescharacteristic
905C2×C73#354211yescharacteristic
906C2×#540C2×C7311yescharacteristic, complemented
907C2×#525C2×C7311yescharacteristic, complemented
908#2849C2×C7311yescharacteristic, complemented
909#2847C2×C7311yescharacteristic, complemented
910#2694C2×C7311yescharacteristic, complemented
911#2693C2×C7311yescharacteristic, complemented
912#2690C2×C7311yescharacteristic, complemented
913#2688C2×C7311yescharacteristic, complemented
914#2687C2×C7311yescharacteristic, complemented
915#2678C2×C7311yescharacteristic, complemented
916#2676C2×C7311yescharacteristic, complemented
917#2675C2×C7311yescharacteristic, complemented
918#2673C2×C7311yescharacteristic, complemented
919#2673C2×C7311yescharacteristic, complemented
920#2672C2×C7311yescharacteristic, complemented
921#2671C2×C7311yescharacteristic, complemented
922#2671C2×C7311yescharacteristic, complemented
923#2669C2×C7311yescharacteristic, complemented
924#2669C2×C7311yescharacteristic, complemented
925#2668C2×C7311yescharacteristic, complemented
926#2635C2×C7311yescharacteristic, complemented
927#2630C2×C7311yescharacteristic, complemented
928#2609C2×C7311yescharacteristic, complemented
929#2602C2×C7311yescharacteristic, complemented
930#2598C2×C7311yescharacteristic, complemented
931#2598C2×C7311yescharacteristic, complemented
932#2543C2×C7311yescharacteristic, complemented
933#2535C2×C7311yescharacteristic, complemented
934#2431C2×C7311yescharacteristic, complemented
935#2430C2×C7311yescharacteristic, complemented
936#2318C2×C7311yescharacteristic, complemented
937C73#3671311yescharacteristic, direct product factor, Sylow
938C22×#41C22×C7311yescharacteristic
939C24×C4C22×C7311yescharacteristic
940#540—28no—
941C2×#127C22×C7311yescharacteristic
942C2×#127C22×C7311yescharacteristic
943C2×#125C22×C7311yescharacteristic, complemented
944C2×#124C22×C7311yescharacteristic, complemented
945#525—28no—
946C2×#123C22×C7311yescharacteristic
947C2×#123C22×C7311yescharacteristic
948C2×#123C22×C7311yescharacteristic
949C2×#123C22×C7311yescharacteristic
950C2×#123C22×C7311yescharacteristic
951C2×#123C22×C7311yescharacteristic, complemented
952C2×#123C22×C7311yescharacteristic, complemented
953C2×C22⋊Q8C22×C7311yescharacteristic
954C2×C22⋊Q8C22×C7311yescharacteristic
955C2×#121C22×C7311yescharacteristic
956C2×#121C22×C7311yescharacteristic
957C2×#121C22×C7311yescharacteristic
958C2×#121C22×C7311yescharacteristic
959C2×#121C22×C7311yescharacteristic
960C2×#121C22×C7311yescharacteristic
961C2×#121C22×C7311yescharacteristic
962C2×#121C22×C7311yescharacteristic
963C2×#121C22×C7311yescharacteristic
964C2×#121C22×C7311yescharacteristic
965C2×#121C22×C7311yescharacteristic
966C2×#121C22×C7311yescharacteristic
967C2×#121C22×C7311yescharacteristic, complemented
968C2×#121C22×C7311yescharacteristic, complemented
969C2×#121C22×C7311yescharacteristic, complemented
970C2×#121C22×C7311yescharacteristic, complemented
971C2×#120C22×C7311yescharacteristic
972C2×#120C22×C7311yescharacteristic
973C2×#120C22×C7311yescharacteristic
974C2×#120C22×C7311yescharacteristic
975C2×#120C22×C7311yescharacteristic
976C2×C4×D4C22×C7311yescharacteristic
977C2×C4×D4C22×C7311yescharacteristic
978C2×C4×D4C22×C7311yescharacteristic
979C2×C4×D4C22×C7311yescharacteristic
980C2×C4×D4C22×C7311yescharacteristic, complemented
981C2×#117C22×C7311yescharacteristic
982C2×#117C22×C7311yescharacteristic, complemented
983#400C22×C7311yescharacteristic, complemented
984#400C22×C7311yescharacteristic, complemented
985#400C22×C7311yescharacteristic, complemented
986#399C22×C7311yescharacteristic
987#399C22×C7311yescharacteristic, complemented
988#399C22×C7311yescharacteristic, complemented
989#398C22×C7311yescharacteristic, complemented
990#398C22×C7311yescharacteristic, complemented
991#398C22×C7311yescharacteristic, complemented
992#397C22×C7311yescharacteristic
993#397C22×C7311yescharacteristic
994#397C22×C7311yescharacteristic
995#397C22×C7311yescharacteristic, complemented
996#397C22×C7311yescharacteristic, complemented
997#396C22×C7311yescharacteristic
998#396C22×C7311yescharacteristic, complemented
999#396C22×C7311yescharacteristic, complemented
1000#396C22×C7311yescharacteristic, complemented
1001#395C22×C7311yescharacteristic, complemented
1002#394C22×C7311yescharacteristic
1003#394C22×C7311yescharacteristic
1004#394C22×C7311yescharacteristic
1005#394C22×C7311yescharacteristic
1006#394C22×C7311yescharacteristic
1007#394C22×C7311yescharacteristic
1008#394C22×C7311yescharacteristic
1009#394C22×C7311yescharacteristic
1010#394C22×C7311yescharacteristic, complemented
1011#394C22×C7311yescharacteristic, complemented
1012#394C22×C7311yescharacteristic, complemented
1013#394C22×C7311yescharacteristic, complemented
1014#394C22×C7311yescharacteristic, complemented
1015#393C22×C7311yescharacteristic, complemented
1016#392C22×C7311yescharacteristic
1017#392C22×C7311yescharacteristic
1018#392C22×C7311yescharacteristic
1019#392C22×C7311yescharacteristic
1020#392C22×C7311yescharacteristic
1021#392C22×C7311yescharacteristic
1022#392C22×C7311yescharacteristic
1023#392C22×C7311yescharacteristic
1024#392C22×C7311yescharacteristic
1025#392C22×C7311yescharacteristic
1026#392C22×C7311yescharacteristic
1027#392C22×C7311yescharacteristic, complemented
1028#392C22×C7311yescharacteristic, complemented
1029#392C22×C7311yescharacteristic, complemented
1030#392C22×C7311yescharacteristic, complemented
1031#391C22×C7311yescharacteristic, complemented
1032#390C22×C7311yescharacteristic
1033#390C22×C7311yescharacteristic
1034#389C22×C7311yescharacteristic, complemented
1035#388C22×C7311yescharacteristic
1036#388C22×C7311yescharacteristic
1037#388C22×C7311yescharacteristic
1038#388C22×C7311yescharacteristic
1039#388C22×C7311yescharacteristic
1040#388C22×C7311yescharacteristic, complemented
1041#388C22×C7311yescharacteristic, complemented
1042#388C22×C7311yescharacteristic, complemented
1043#388C22×C7311yescharacteristic, complemented
1044#388C22×C7311yescharacteristic, complemented
1045#387C22×C7311yescharacteristic, complemented
1046#387C22×C7311yescharacteristic, complemented
1047#387C22×C7311yescharacteristic, complemented
1048#387C22×C7311yescharacteristic, complemented
1049#386C22×C7311yescharacteristic
1050#386C22×C7311yescharacteristic
1051#386C22×C7311yescharacteristic
1052#386C22×C7311yescharacteristic
1053#386C22×C7311yescharacteristic
1054#386C22×C7311yescharacteristic
1055#386C22×C7311yescharacteristic
1056#386C22×C7311yescharacteristic
1057#386C22×C7311yescharacteristic
1058#386C22×C7311yescharacteristic
1059#386C22×C7311yescharacteristic
1060#386C22×C7311yescharacteristic
1061#386C22×C7311yescharacteristic
1062#386C22×C7311yescharacteristic
1063#386C22×C7311yescharacteristic
1064#386C22×C7311yescharacteristic
1065#386C22×C7311yescharacteristic
1066#386C22×C7311yescharacteristic, complemented
1067#386C22×C7311yescharacteristic, complemented
1068#386C22×C7311yescharacteristic, complemented
1069#386C22×C7311yescharacteristic, complemented
1070#386C22×C7311yescharacteristic, complemented
1071#386C22×C7311yescharacteristic, complemented
1072#386C22×C7311yescharacteristic, complemented
1073#385C22×C7311yescharacteristic
1074#385C22×C7311yescharacteristic
1075#385C22×C7311yescharacteristic
1076#385C22×C7311yescharacteristic
1077#385C22×C7311yescharacteristic, complemented
1078#385C22×C7311yescharacteristic, complemented
1079#385C22×C7311yescharacteristic, complemented
1080#385C22×C7311yescharacteristic, complemented
1081#385C22×C7311yescharacteristic, complemented
1082#385C22×C7311yescharacteristic, complemented
1083#383C22×C7311yescharacteristic, complemented
1084#382C22×C7311yescharacteristic, complemented
1085#381C22×C7311yescharacteristic
1086#381C22×C7311yescharacteristic
1087#380C22×C7311yescharacteristic
1088#380C22×C7311yescharacteristic
1089#380C22×C7311yescharacteristic
1090#380C22×C7311yescharacteristic, complemented
1091#380C22×C7311yescharacteristic, complemented
1092#379C22×C7311yescharacteristic
1093C4×C22⋊C4C22×C7311yescharacteristic, complemented
1094C2×#95C22×C7311yescharacteristic, complemented
1095C25C23×C7311yescharacteristic
1096C2×#41—24no—
1097C2×#41—42no—
1098C2×#41—42no—
1099C22×Q8C23×C7311yescharacteristic
1100C22×D4C23×C7311yescharacteristic
1101C22×D4C23×C7311yescharacteristic
1102C22×D4C23×C7311yescharacteristic
1103C22×D4C23×C7311yescharacteristic
1104C22×D4C23×C7311yescharacteristic
1105C22×D4C23×C7311yescharacteristic
1106C22×D4C23×C7311yescharacteristic
1107C22×D4C23×C7311yescharacteristic
1108C22×D4C23×C7311yescharacteristic
1109C22×D4C23×C7311yescharacteristic
1110C22×D4C23×C7311yescharacteristic
1111C22×D4C23×C7311yescharacteristic
1112C22×D4C23×C7311yescharacteristic
1113C22×D4C23×C7311yescharacteristic
1114C22×D4C23×C7311yescharacteristic
1115C22×D4C23×C7311yescharacteristic
1116C22×D4C23×C7311yescharacteristic
1117C22×D4C23×C7311yescharacteristic
1118C22×D4C23×C7311yescharacteristic
1119C22×D4C23×C7311yescharacteristic
1120C22×D4C23×C7311yescharacteristic
1121C22×D4C23×C7311yescharacteristic
1122C22×D4C23×C7311yescharacteristic
1123C22×D4C23×C7311yescharacteristic
1124C22×D4C23×C7311yescharacteristic
1125C23×C4—24no—
1126C23×C4—42no—
1127C23×C4—42no—
1128C23×C4C23×C7311yescharacteristic
1129C23×C4C23×C7311yescharacteristic
1130C23×C4C23×C7311yescharacteristic
1131C23×C4C23×C7311yescharacteristic
1132C23×C4C23×C7311yescharacteristic
1133C23×C4C23×C7311yescharacteristic
1134C23×C4C23×C7311yescharacteristic
1135C23×C4C23×C7311yescharacteristic
1136C23×C4C23×C7311yescharacteristic
1137C23×C4C23×C7311yescharacteristic
1138C23×C4C23×C7311yescharacteristic
1139C23×C4C23×C7311yescharacteristic
1140C23×C4C23×C7311yescharacteristic
1141#127—24no—
1142#127—42no—
1143#125—24no—
1144#124—42no—
1145#123—24no—
1146#123—24no—
1147#123—24no—
1148#123—24no—
1149#123—24no—
1150#123—24no—
1151#123—42no—
1152C22⋊Q8—24no—
1153C22⋊Q8—24no—
1154#121—24no—
1155#121—24no—
1156#121—24no—
1157#121—24no—
1158#121—24no—
1159#121—24no—
1160#121—24no—
1161#121—24no—
1162#121—42no—
1163#121—42no—
1164#121—42no—
1165#121—42no—
1166#121—42no—
1167#121—42no—
1168#121—42no—
1169#121—42no—
1170#120—24no—
1171#120—24no—
1172#120—42no—
1173#120—42no—
1174#120—42no—
1175C4×D4—24no—
1176C4×D4—24no—
1177C4×D4—24no—
1178C4×D4—24no—
1179C4×D4D4×C7318yescomplemented
1180#117—24no—
1181#117—24no—
1182C2×C4⋊C4C23×C7311yescharacteristic
1183C2×C4⋊C4C23×C7311yescharacteristic
1184C2×C4⋊C4C23×C7311yescharacteristic
1185C2×C4⋊C4C23×C7311yescharacteristic
1186C2×C4⋊C4C23×C7311yescharacteristic
1187C2×C4⋊C4C23×C7311yescharacteristic
1188C2×C4⋊C4C23×C7311yescharacteristic
1189C2×C4⋊C4C23×C7311yescharacteristic
1190C2×C4⋊C4C23×C7311yescharacteristic
1191C2×C4⋊C4C23×C7311yescharacteristic
1192C2×C4⋊C4C23×C7311yescharacteristic
1193C2×C4⋊C4C23×C7311yescharacteristic
1194C2×C4⋊C4C23×C7311yescharacteristic
1195C2×C4⋊C4C23×C7311yescharacteristic
1196C2×C4⋊C4C23×C7311yescharacteristic
1197C2×C4⋊C4C23×C7311yescharacteristic
1198C2×C4⋊C4C23×C7311yescharacteristic
1199C2×C4⋊C4C23×C7311yescharacteristic
1200C2×C4⋊C4C23×C7311yescharacteristic
1201C2×C4⋊C4C23×C7311yescharacteristic
1202C2×C4⋊C4C23×C7311yescharacteristic
1203C2×C4⋊C4C23×C7311yescharacteristic
1204C2×C4⋊C4C23×C7311yescharacteristic
1205C2×C4⋊C4C23×C7311yescharacteristic
1206C2×C22⋊C4C23×C7311yescharacteristic
1207C2×C22⋊C4C23×C7311yescharacteristic
1208C2×C22⋊C4C23×C7311yescharacteristic
1209C2×C22⋊C4C23×C7311yescharacteristic
1210C2×C22⋊C4C23×C7311yescharacteristic
1211C2×C22⋊C4C23×C7311yescharacteristic
1212C2×C22⋊C4C23×C7311yescharacteristic
1213C2×C22⋊C4C23×C7311yescharacteristic
1214C2×C22⋊C4C23×C7311yescharacteristic
1215C2×C22⋊C4C23×C7311yescharacteristic
1216C2×C22⋊C4C23×C7311yescharacteristic
1217C2×C22⋊C4C23×C7311yescharacteristic
1218C2×C22⋊C4C23×C7311yescharacteristic
1219C2×C22⋊C4C23×C7311yescharacteristic
1220C2×C22⋊C4C23×C7311yescharacteristic
1221C2×C22⋊C4C23×C7311yescharacteristic
1222C2×C22⋊C4C23×C7311yescharacteristic
1223C2×C22⋊C4C23×C7311yescharacteristic
1224C2×C22⋊C4C23×C7311yescharacteristic
1225C2×C22⋊C4C23×C7311yescharacteristic
1226C2×C22⋊C4C23×C7311yescharacteristic
1227C2×C22⋊C4C23×C7311yescharacteristic
1228C2×C22⋊C4C23×C7311yescharacteristic
1229C2×C22⋊C4C23×C7311yescharacteristic
1230C2×C22⋊C4C23×C7311yescharacteristic
1231C2×C22⋊C4C23×C7311yescharacteristic
1232C2×C22⋊C4C23×C7311yescharacteristic
1233C2×C22⋊C4C23×C7311yescharacteristic
1234C2×C22⋊C4C23×C7311yescharacteristic
1235C2×C22⋊C4C23×C7311yescharacteristic
1236C2×C22⋊C4C23×C7311yescharacteristic
1237C2×C22⋊C4C23×C7311yescharacteristic
1238C2×C22⋊C4C23×C7311yescharacteristic
1239C2×C22⋊C4C23×C7311yescharacteristic
1240C2×C22⋊C4C23×C7311yescharacteristic
1241C2×C22⋊C4C23×C7311yescharacteristic
1242C2×C22⋊C4C23×C7311yescharacteristic
1243C2×C22⋊C4C23×C7311yescharacteristic
1244C2×C22⋊C4C23×C7311yescharacteristic
1245C2×C22⋊C4C23×C7311yescharacteristic
1246C2×C22⋊C4C23×C7311yescharacteristic
1247C2×C22⋊C4C23×C7311yescharacteristic
1248C2×C22⋊C4C23×C7311yescharacteristic
1249C2×C22⋊C4C23×C7311yescharacteristic
1250C2×C22⋊C4C23×C7311yescharacteristic
1251C2×C22⋊C4C23×C7311yescharacteristic
1252C2×C22⋊C4C23×C7311yescharacteristic
1253C2×C22⋊C4C23×C7311yescharacteristic
1254C2×C22⋊C4C23×C7311yescharacteristic
1255C2×C22⋊C4C23×C7311yescharacteristic
1256C2×C22⋊C4C23×C7311yescharacteristic
1257C2×C22⋊C4C23×C7311yescharacteristic
1258C2×C22⋊C4C23×C7311yescharacteristic
1259C2×C22⋊C4C23×C7311yescharacteristic
1260C2×C42C23×C7311yescharacteristic
1261C2×C42C23×C7311yescharacteristic
1262C2×C42C23×C7311yescharacteristic
1263C2×C42C23×C7311yescharacteristic
1264C2×C42C23×C7311yescharacteristic
1265#95C23×C7311yescharacteristic
1266#95C23×C7311yescharacteristic
1267#95C23×C7311yescharacteristic
1268#95C23×C7311yescharacteristic
1269#95C23×C7311yescharacteristic
1270#95C23×C7311yescharacteristic
1271#95C23×C7311yescharacteristic
1272#95C23×C7311yescharacteristic
1273#95C23×C7311yescharacteristic
1274#95C23×C7311yescharacteristic
1275#95C23×C7311yescharacteristic
1276#95C23×C7311yescharacteristic
1277#95C23×C7311yescharacteristic
1278#95C23×C7311yescharacteristic
1279#95C23×C7311yescharacteristic
1280#95C23×C7311yescharacteristic
1281#95C23×C7311yescharacteristic
1282#95C23×C7311yescharacteristic
1283#95C23×C7311yescharacteristic
1284#95C23×C7311yescharacteristic
1285#95C23×C7311yescharacteristic
1286#95C23×C7311yescharacteristic
1287#95C23×C7311yescharacteristic
1288#95C23×C7311yescharacteristic
1289#95C23×C7311yescharacteristic
1290#95C23×C7311yescharacteristic
1291#95C23×C7311yescharacteristic
1292#95C23×C7311yescharacteristic
1293#95C23×C7311yescharacteristic
1294#95C23×C7311yescharacteristic
1295#95C23×C7311yescharacteristic
1296#95C23×C7311yescharacteristic
1297C24—22no—
1298C24—22no—
1299C24—22no—
1300C24—41no—
1301C24—41no—
1302C24—41no—
1303C24—41no—
1304C24C24×C7311yescharacteristic
1305C24C24×C7311yescharacteristic
1306C24C24×C7311yescharacteristic
1307C24C24×C7311yescharacteristic
1308C24C24×C7311yescharacteristic
1309C24C24×C7311yescharacteristic
1310C24C24×C7311yescharacteristic
1311C24C24×C7311yescharacteristic
1312#41—416no—
1313C2×Q8—22no—
1314C2×Q8—22no—
1315C2×Q8—41no—
1316C2×D4—22no—
1317C2×D4—22no—
1318C2×D4—22no—
1319C2×D4—22no—
1320C2×D4—22no—
1321C2×D4—22no—
1322C2×D4—22no—
1323C2×D4—22no—
1324C2×D4—22no—
1325C2×D4—22no—
1326C2×D4—22no—
1327C2×D4—22no—
1328C2×D4—22no—
1329C2×D4—22no—
1330C2×D4—22no—
1331C2×D4—22no—
1332C2×D4—22no—
1333C2×D4—22no—
1334C2×D4—22no—
1335C2×D4—22no—
1336C2×D4—22no—
1337C2×D4—22no—
1338C2×D4—22no—
1339C2×D4—22no—
1340C2×D4—22no—
1341C2×D4—22no—
1342C2×D4—41no—
1343C2×D4—41no—
1344C2×D4—41no—
1345C2×D4—41no—
1346C2×D4—41no—
1347C2×D4—41no—
1348C2×D4—41no—
1349C2×D4—41no—
1350C2×D4—41no—
1351C2×D4—41no—
1352C2×D4—41no—
1353C2×D4—41no—
1354C2×D4—41no—
1355C2×D4—41no—
1356C2×D4—41no—
1357C2×D4—41no—
1358C2×D4—41no—
1359C2×D4—41no—
1360C2×D4—41no—
1361C2×D4—41no—
1362C2×D4—41no—
1363C2×D4—41no—
1364C2×D4—41no—
1365C2×D4—41no—
1366C2×D4—41no—
1367C2×D4—41no—
1368C2×D4—41no—
1369C2×D4—41no—
1370C2×D4—41no—
1371C2×D4—41no—
1372C2×D4—41no—
1373C2×D4—41no—
1374C2×D4—41no—
1375C2×D4—41no—
1376C2×D4—41no—
1377C2×D4—41no—
1378C2×D4—41no—
1379C2×D4—41no—
1380C2×D4—41no—
1381C2×D4—41no—
1382C2×D4—41no—
1383C2×D4—41no—
1384C2×D4—41no—
1385C2×D4—41no—
1386C2×D4—41no—
1387C2×D4—41no—
1388C2×D4—41no—
1389C2×D4—41no—
1390C2×D4C2×D4×C7314yes—
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—22no—
1400C22×C4—22no—
1401C22×C4—22no—
1402C22×C4—22no—
1403C22×C4—22no—
1404C22×C4—22no—
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×C4—41no—
1423C22×C4—41no—
1424C22×C4—41no—
1425C22×C4—41no—
1426C22×C4—41no—
1427C22×C4—41no—
1428C22×C4—416no—
1429C22×C4C2×D4×C7314yes—
1430C22×C4C2×D4×C7314yes—
1431C22×C4C24×C7311yescharacteristic
1432C22×C4C24×C7311yescharacteristic
1433C22×C4C24×C7311yescharacteristic
1434C22×C4C24×C7311yescharacteristic
1435C22×C4C24×C7311yescharacteristic
1436C22×C4C24×C7311yescharacteristic
1437C22×C4C24×C7311yescharacteristic
1438C22×C4C24×C7311yescharacteristic
1439C22×C4C24×C7311yescharacteristic
1440C22×C4C24×C7311yescharacteristic
1441C22×C4C24×C7311yescharacteristic
1442C22×C4C24×C7311yescharacteristic
1443C22×C4C24×C7311yescharacteristic
1444C22×C4C24×C7311yescharacteristic
1445C22×C4C24×C7311yescharacteristic
1446C22×C4C24×C7311yescharacteristic
1447C22×C4C24×C7311yescharacteristic
1448C22×C4C24×C7311yescharacteristic
1449C22×C4C24×C7311yescharacteristic
1450C22×C4C24×C7311yescharacteristic
1451C22×C4C24×C7311yescharacteristic
1452C22×C4C24×C7311yescharacteristic
1453C22×C4C24×C7311yescharacteristic
1454C4⋊C4—22no—
1455C4⋊C4—22no—
1456C4⋊C4—22no—
1457C4⋊C4—22no—
1458C4⋊C4—22no—
1459C4⋊C4—22no—
1460C4⋊C4—22no—
1461C4⋊C4—22no—
1462C4⋊C4—22no—
1463C4⋊C4—22no—
1464C4⋊C4—22no—
1465C4⋊C4—22no—
1466C4⋊C4—22no—
1467C4⋊C4—41no—
1468C4⋊C4—41no—
1469C4⋊C4—41no—
1470C4⋊C4—41no—
1471C4⋊C4—41no—
1472C4⋊C4—41no—
1473C4⋊C4—41no—
1474C4⋊C4—41no—
1475C4⋊C4—41no—
1476C4⋊C4—41no—
1477C4⋊C4C2×D4×C7314yes—
1478C22⋊C4—22no—
1479C22⋊C4—22no—
1480C22⋊C4—22no—
1481C22⋊C4—22no—
1482C22⋊C4—22no—
1483C22⋊C4—22no—
1484C22⋊C4—22no—
1485C22⋊C4—22no—
1486C22⋊C4—22no—
1487C22⋊C4—22no—
1488C22⋊C4—22no—
1489C22⋊C4—22no—
1490C22⋊C4—22no—
1491C22⋊C4—22no—
1492C22⋊C4—22no—
1493C22⋊C4—22no—
1494C22⋊C4—22no—
1495C22⋊C4—22no—
1496C22⋊C4—22no—
1497C22⋊C4—22no—
1498C22⋊C4—22no—
1499C22⋊C4—22no—
1500C22⋊C4—22no—
1501C22⋊C4—41no—
1502C22⋊C4—41no—
1503C22⋊C4—41no—
1504C22⋊C4—41no—
1505C22⋊C4—41no—
1506C22⋊C4—41no—
1507C22⋊C4—41no—
1508C22⋊C4—41no—
1509C22⋊C4—41no—
1510C22⋊C4—41no—
1511C22⋊C4—41no—
1512C22⋊C4—41no—
1513C22⋊C4—41no—
1514C22⋊C4—41no—
1515C22⋊C4—41no—
1516C22⋊C4—41no—
1517C22⋊C4—41no—
1518C22⋊C4—41no—
1519C22⋊C4—41no—
1520C22⋊C4—41no—
1521C22⋊C4—41no—
1522C22⋊C4—41no—
1523C22⋊C4—41no—
1524C22⋊C4—41no—
1525C22⋊C4—41no—
1526C22⋊C4—41no—
1527C22⋊C4—41no—
1528C22⋊C4—41no—
1529C22⋊C4—41no—
1530C22⋊C4C2×D4×C7314yes—
1531C22⋊C4C2×D4×C7314yes—
1532C42—22no—
1533C42—22no—
1534C42—41no—
1535C42—41no—
1536C42C2×D4×C7314yes—
1537C23—21no—
1538C23—21no—
1539C23—21no—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—21no—
1562C23—21no—
1563C23—21no—
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—21no—
1568C23—21no—
1569C23—21no—
1570C23—21no—
1571C23—21no—
1572C23—21no—
1573C23—21no—
1574C23—21no—
1575C23—21no—
1576C23—21no—
1577C23—21no—
1578C23—21no—
1579C23—21no—
1580C23—21no—
1581C23—21no—
1582C23—21no—
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—21no—
1587C23—21no—
1588C23—21no—
1589C23—44no—
1590C23—44no—
1591C23—44no—
1592C23—44no—
1593C23—44no—
1594C23—44no—
1595C23—44no—
1596C23C22×D4×C7312yes—
1597C23C22×D4×C7312yes—
1598C23H(5,𝔽2)×C7312yes—
1599C23H(5,𝔽2)×C7312yes—
1600C23C25×C7311yescharacteristic
1601Q8—44no—
1602D4—44no—
1603D4—44no—
1604D4—44no—
1605D4—44no—
1606D4—44no—
1607D4—44no—
1608D4—44no—
1609D4—44no—
1610D4—82no—
1611D4—82no—
1612D4—82no—
1613D4—82no—
1614D4—82no—
1615D4—82no—
1616D4—82no—
1617D4—82no—
1618D4—82no—
1619D4—82no—
1620D4—82no—
1621D4—82no—
1622D4—82no—
1623D4—82no—
1624D4—82no—
1625D4—82no—
1626D4—82no—
1627C2×C4—28no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—44no—
1692C2×C4—44no—
1693C2×C4—44no—
1694C2×C4—44no—
1695C2×C4—44no—
1696C2×C4—44no—
1697C2×C4—44no—
1698C2×C4—44no—
1699C2×C4—82no—
1700C2×C4—82no—
1701C2×C4—82no—
1702C2×C4—82no—
1703C2×C4C22×D4×C7312yes—
1704C2×C4C22×D4×C7312yes—
1705C2×C4C22×D4×C7312yes—
1706C2×C4C22×D4×C7312yes—
1707C2×C4C22×D4×C7312yes—
1708C2×C4H(5,𝔽2)×C7312yes—
1709C22—22no—
1710C22—22no—
1711C22—22no—
1712C22—22no—
1713C22—22no—
1714C22—22no—
1715C22—22no—
1716C22—22no—
1717C22—22no—
1718C22—22no—
1719C22—22no—
1720C22—22no—
1721C22—416no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—41no—
1742C22—41no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—41no—
1750C22—41no—
1751C22—41no—
1752C22—41no—
1753C22—41no—
1754C22—41no—
1755C22—41no—
1756C22—41no—
1757C22—41no—
1758C22—41no—
1759C22—41no—
1760C22—41no—
1761C22—41no—
1762C22—41no—
1763C22—41no—
1764C22—41no—
1765C22—41no—
1766C22C23×D4×C7311yescharacteristic
1767C22C2×H(5,𝔽2)×C7311yescharacteristic
1768C22C2×H(5,𝔽2)×C7311yescharacteristic
1769C22C2×H(5,𝔽2)×C7311yescharacteristic
1770C22#585×C7311yescharacteristic
1771C22#585×C7311yescharacteristic
1772C22#585×C7311yescharacteristic
1773C4—22no—
1774C4—22no—
1775C4—22no—
1776C4—22no—
1777C4—22no—
1778C4—22no—
1779C4—41no—
1780C4—41no—
1781C4—41no—
1782C4—41no—
1783C4—41no—
1784C4—41no—
1785C4—41no—
1786C4—41no—
1787C4—41no—
1788C4—41no—
1789C4—41no—
1790C4—41no—
1791C4—41no—
1792C4—41no—
1793C4—41no—
1794C4—41no—
1795C4—41no—
1796C2—42no—
1797C2—42no—
1798C2—42no—
1799C2—42no—
1800C2—81no—
1801C2—81no—
1802C2—81no—
1803C2—81no—
1804C2C73×#344911yescharacteristic
1805C2C73×#348411yescharacteristic
1806C2C73×#348811yescharacteristic
1807C2C73×#353311yescharacteristic
1808C2C73×#353411yescharacteristic
1809C2C73×#353911yescharacteristic
1810C2C73×#354211yescharacteristic
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. C2×#540×C73C2semidirect
2. C2×#525×C73C2semidirect
3. C73×#2849C2semidirect
4. C73×#2847C2semidirect
5. C73×#2694C2semidirect
6. C73×#2693C2semidirect
7. C73×#2690C2semidirect
8. C73×#2688C2semidirect
9. C73×#2687C2semidirect
10. C73×#2678C2semidirect
11. C73×#2676C2semidirect
12. C73×#2675C2semidirect
13. C73×#2673C2semidirect
14. C73×#2673C2semidirect
15. C73×#2672C2semidirect
16. C73×#2671C2semidirect
17. C73×#2671C2semidirect
18. C73×#2669C2semidirect
19. C73×#2669C2semidirect
20. C73×#2668C2semidirect
21. C73×#2635C2semidirect
22. C73×#2630C2semidirect
23. C73×#2609C2semidirect
24. C73×#2602C2semidirect
25. C73×#2598C2semidirect
26. C73×#2598C2semidirect
27. C73×#2543C2semidirect
28. C73×#2535C2semidirect
29. C73×#2431C2semidirect
30. C73×#2430C2semidirect
31. C73×#2318C2semidirect
37. C2×#125×C73C22semidirect
38. C2×#124×C73C22semidirect
45. C2×#123×C73C22semidirect
46. C2×#123×C73C22semidirect
61. C2×#121×C73C22semidirect
62. C2×#121×C73C22semidirect
63. C2×#121×C73C22semidirect
64. C2×#121×C73C22semidirect
74. C2×C4×D4×C73C22semidirect
76. C2×#117×C73C22semidirect
77. #400×C73C22semidirect
78. #400×C73C22semidirect
79. #400×C73C22semidirect
81. #399×C73C22semidirect
82. #399×C73C22semidirect
83. #398×C73C22semidirect
84. #398×C73C22semidirect
85. #398×C73C22semidirect
89. #397×C73C22semidirect
90. #397×C73C22semidirect
92. #396×C73C22semidirect
93. #396×C73C22semidirect
94. #396×C73C22semidirect
95. #395×C73C22semidirect
104. #394×C73C22semidirect
105. #394×C73C22semidirect
106. #394×C73C22semidirect
107. #394×C73C22semidirect
108. #394×C73C22semidirect
109. #393×C73C22semidirect
121. #392×C73C22semidirect
122. #392×C73C22semidirect
123. #392×C73C22semidirect
124. #392×C73C22semidirect
125. #391×C73C22semidirect
128. #389×C73C22semidirect
134. #388×C73C22semidirect
135. #388×C73C22semidirect
136. #388×C73C22semidirect
137. #388×C73C22semidirect
138. #388×C73C22semidirect
139. #387×C73C22semidirect
140. #387×C73C22semidirect
141. #387×C73C22semidirect
142. #387×C73C22semidirect
160. #386×C73C22semidirect
161. #386×C73C22semidirect
162. #386×C73C22semidirect
163. #386×C73C22semidirect
164. #386×C73C22semidirect
165. #386×C73C22semidirect
166. #386×C73C22semidirect
171. #385×C73C22semidirect
172. #385×C73C22semidirect
173. #385×C73C22semidirect
174. #385×C73C22semidirect
175. #385×C73C22semidirect
176. #385×C73C22semidirect
177. #383×C73C22semidirect
178. #382×C73C22semidirect
184. #380×C73C22semidirect
185. #380×C73C22semidirect
187. C4×C22⋊C4×C73C22semidirect
188. C2×#95×C73C22semidirect
273. C4×D4×C73D4semidirect
890. #36713C73direct (N × H)
906. C2×#540C2×C73semidirect
907. C2×#525C2×C73semidirect
908. #2849C2×C73semidirect
909. #2847C2×C73semidirect
910. #2694C2×C73semidirect
911. #2693C2×C73semidirect
912. #2690C2×C73semidirect
913. #2688C2×C73semidirect
914. #2687C2×C73semidirect
915. #2678C2×C73semidirect
916. #2676C2×C73semidirect
917. #2675C2×C73semidirect
918. #2673C2×C73semidirect
919. #2673C2×C73semidirect
920. #2672C2×C73semidirect
921. #2671C2×C73semidirect
922. #2671C2×C73semidirect
923. #2669C2×C73semidirect
924. #2669C2×C73semidirect
925. #2668C2×C73semidirect
926. #2635C2×C73semidirect
927. #2630C2×C73semidirect
928. #2609C2×C73semidirect
929. #2602C2×C73semidirect
930. #2598C2×C73semidirect
931. #2598C2×C73semidirect
932. #2543C2×C73semidirect
933. #2535C2×C73semidirect
934. #2431C2×C73semidirect
935. #2430C2×C73semidirect
936. #2318C2×C73semidirect
937. C73#36713direct (N × H)
943. C2×#125C22×C73semidirect
944. C2×#124C22×C73semidirect
951. C2×#123C22×C73semidirect
952. C2×#123C22×C73semidirect
967. C2×#121C22×C73semidirect
968. C2×#121C22×C73semidirect
969. C2×#121C22×C73semidirect
970. C2×#121C22×C73semidirect
980. C2×C4×D4C22×C73semidirect
982. C2×#117C22×C73semidirect
983. #400C22×C73semidirect
984. #400C22×C73semidirect
985. #400C22×C73semidirect
987. #399C22×C73semidirect
988. #399C22×C73semidirect
989. #398C22×C73semidirect
990. #398C22×C73semidirect
991. #398C22×C73semidirect
995. #397C22×C73semidirect
996. #397C22×C73semidirect
998. #396C22×C73semidirect
999. #396C22×C73semidirect
1000. #396C22×C73semidirect
1001. #395C22×C73semidirect
1010. #394C22×C73semidirect
1011. #394C22×C73semidirect
1012. #394C22×C73semidirect
1013. #394C22×C73semidirect
1014. #394C22×C73semidirect
1015. #393C22×C73semidirect
1027. #392C22×C73semidirect
1028. #392C22×C73semidirect
1029. #392C22×C73semidirect
1030. #392C22×C73semidirect
1031. #391C22×C73semidirect
1034. #389C22×C73semidirect
1040. #388C22×C73semidirect
1041. #388C22×C73semidirect
1042. #388C22×C73semidirect
1043. #388C22×C73semidirect
1044. #388C22×C73semidirect
1045. #387C22×C73semidirect
1046. #387C22×C73semidirect
1047. #387C22×C73semidirect
1048. #387C22×C73semidirect
1066. #386C22×C73semidirect
1067. #386C22×C73semidirect
1068. #386C22×C73semidirect
1069. #386C22×C73semidirect
1070. #386C22×C73semidirect
1071. #386C22×C73semidirect
1072. #386C22×C73semidirect
1077. #385C22×C73semidirect
1078. #385C22×C73semidirect
1079. #385C22×C73semidirect
1080. #385C22×C73semidirect
1081. #385C22×C73semidirect
1082. #385C22×C73semidirect
1083. #383C22×C73semidirect
1084. #382C22×C73semidirect
1090. #380C22×C73semidirect
1091. #380C22×C73semidirect
1093. C4×C22⋊C4C22×C73semidirect
1094. C2×#95C22×C73semidirect
1179. C4×D4D4×C73semidirect

Maximal subgroups

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

subgroupindex
C2×#540×C732
C2×#525×C732
C73×#28492
C73×#28472
C73×#26942
C73×#26932
C73×#26902
C73×#26882
C73×#26872
C73×#26782
C73×#26762
C73×#26752
C73×#26732
C73×#26722
C73×#26712
C73×#26692
C73×#26682
C73×#26352
C73×#26302
C73×#26092
C73×#26022
C73×#25982
C73×#25432
C73×#25352
C73×#24312
C73×#24302
C73×#23182
#3671373