Finite Group Databasebeta

← #33983186

Subgroups — #33983186

Order 18688.

1716 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624566C211yesmaximal, characteristic, complemented
2#22623860C211yesmaximal, characteristic, complemented
3#22622887C211yesmaximal, characteristic, complemented
4#22622801C211yesmaximal, characteristic, complemented
5#22622705C211yesmaximal, characteristic, complemented
6#22622586C211yesmaximal, characteristic, complemented
7#22622521C211yesmaximal, characteristic, complemented
8#22622493C211yesmaximal, characteristic, complemented
9#22622486C211yesmaximal, characteristic, complemented
10#22622459C211yesmaximal, characteristic, complemented
11#22622375C211yesmaximal, characteristic, complemented
12#22622327C211yesmaximal, characteristic, complemented
13#22622158C211yesmaximal, characteristic, complemented
14#22622148C211yesmaximal, characteristic, complemented
15#22622091C211yesmaximal, characteristic, complemented
16#22622076C211yesmaximal, characteristic, complemented
17#22621766C211yesmaximal, characteristic, complemented
18#22621388C211yesmaximal, characteristic, complemented
19#22621343C211yesmaximal, characteristic, complemented
20#22621329C211yesmaximal, characteristic, complemented
21#22621235C211yesmaximal, characteristic, complemented
22#22621180C211yesmaximal, characteristic, complemented
23#22621105C211yesmaximal, characteristic, complemented
24#22620209C211yesmaximal, characteristic, complemented
25#22620108C211yesmaximal, characteristic, complemented
26#22619976C211yesmaximal, characteristic, complemented
27#22619786C211yesmaximal, characteristic, complemented
28#22619764C211yesmaximal, characteristic, complemented
29#22619726C211yesmaximal, characteristic, complemented
30#22619075C211yesmaximal, characteristic, complemented
31C73×#3322C211yesmaximal, characteristic, complemented
32#17989339—21no—
33#17989332—21no—
34#17989319C2211yescharacteristic
35#17989314C2211yescharacteristic, complemented
36#17989307—21no—
37#17989305C2211yescharacteristic
38#17989301C2211yescharacteristic, complemented
39#17989296C2211yescharacteristic
40#17989296C2211yescharacteristic, complemented
41#17989289C2211yescharacteristic
42#17989283C2211yescharacteristic
43#17989280—21no—
44#17989277C2211yescharacteristic, complemented
45#17989274—21no—
46#17989272C2211yescharacteristic, complemented
47#17989271C2211yescharacteristic
48#17989263—21no—
49#17989260—21no—
50#17989237C2211yescharacteristic
51#17989225C2211yescharacteristic
52#17989224—21no—
53D4×C22⋊D73C2211yescharacteristic
54#17989218C2211yescharacteristic, complemented
55#17989215C2211yescharacteristic, complemented
56#17989210C2211yescharacteristic
57#17989205—21no—
58#17989204—21no—
59#17989204C2211yescharacteristic, complemented
60#17989204C2211yescharacteristic, complemented
61#17989194—21no—
62#17989190C2211yescharacteristic
63#17989181—21no—
64#17989179—21no—
65#17989172—21no—
66#17989143C2211yescharacteristic, complemented
67#17989119C2211yescharacteristic
68#17989119C2211yescharacteristic, complemented
69#17989116C2211yescharacteristic
70#17989097—21no—
71C2×#14556573—21no—
72#17989070C2211yescharacteristic
73#17989062C2211yescharacteristic
74C4×D4×D73C2211yescharacteristic
75#17988995C2211yescharacteristic, complemented
76#17988995C2211yescharacteristic, complemented
77#17988989C2211yescharacteristic, complemented
78#17988988C2211yescharacteristic, complemented
79#17988986C2211yescharacteristic, complemented
80#17988984C2211yescharacteristic, complemented
81#17988950C2211yescharacteristic
82#17988948C2211yescharacteristic, complemented
83#17988943C2211yescharacteristic, complemented
84#17988941C2211yescharacteristic, complemented
85#17988932C2211yescharacteristic
86#17988929C2211yescharacteristic, complemented
87#17988927C2211yescharacteristic, complemented
88#17988926C2211yescharacteristic, complemented
89#17988924C2211yescharacteristic, complemented
90#17988918C2211yescharacteristic, complemented
91#17988915C2211yescharacteristic, complemented
92#17988912C2211yescharacteristic, complemented
93#17988911C2211yescharacteristic
94#17988910C2211yescharacteristic
95#17988909C2211yescharacteristic
96#17988908C2211yescharacteristic, complemented
97#17988908C2211yescharacteristic, complemented
98#17988906C2211yescharacteristic
99#17988905C2211yescharacteristic, complemented
100#17988904C2211yescharacteristic, complemented
101#17988903C2211yescharacteristic, complemented
102#17988897C2211yescharacteristic, complemented
103#17988895C2211yescharacteristic, complemented
104#17988892C2211yescharacteristic, complemented
105#17988892C2211yescharacteristic, complemented
106#17988890C2211yescharacteristic, complemented
107#17988889C2211yescharacteristic
108#17988889C2211yescharacteristic
109#17988889C2211yescharacteristic, complemented
110#17988888C2211yescharacteristic, complemented
111#17988887C2211yescharacteristic
112#17988887C2211yescharacteristic, complemented
113#17988885C2211yescharacteristic
114#17988885C2211yescharacteristic, complemented
115#17988885C2211yescharacteristic, complemented
116#17988884C2211yescharacteristic, complemented
117#17988881C2211yescharacteristic, complemented
118#17988880C2211yescharacteristic, complemented
119#17988880C2211yescharacteristic, complemented
120#17988876C2211yescharacteristic, complemented
121#17988875C2211yescharacteristic
122#17988875C2211yescharacteristic, complemented
123#17988875C2211yescharacteristic, complemented
124#17988870C2211yescharacteristic, complemented
125#17988866C2211yescharacteristic, complemented
126#17988865C2211yescharacteristic
127#17988865C2211yescharacteristic
128#17988865C2211yescharacteristic
129#17988865C2211yescharacteristic, complemented
130#17988865C2211yescharacteristic, complemented
131#17988844C2211yescharacteristic, complemented
132#17988837C2211yescharacteristic
133#17988833C2211yescharacteristic
134#17988833C2211yescharacteristic, complemented
135#17988832C2211yescharacteristic
136#17988830C2211yescharacteristic, complemented
137#17988826C2211yescharacteristic, complemented
138#17988821C2211yescharacteristic
139#17988821C2211yescharacteristic, complemented
140#17988814C2211yescharacteristic, complemented
141#17988812C2211yescharacteristic, complemented
142#17988807C2211yescharacteristic, complemented
143#17988806C2211yescharacteristic, complemented
144#17988804C2211yescharacteristic, complemented
145#17988801C2211yescharacteristic, complemented
146#17988800C2211yescharacteristic
147#17988800C2211yescharacteristic, complemented
148#17988786C2211yescharacteristic
149#17988780C2211yescharacteristic
150#17988749C2211yescharacteristic
151#17988739C2211yescharacteristic
152#17988738C2211yescharacteristic
153#17988719C2211yescharacteristic
154#17988717C2211yescharacteristic, complemented
155#17988711C2211yescharacteristic, complemented
156#17988699C2211yescharacteristic
157#17988699C2211yescharacteristic
158#17988691C2211yescharacteristic, complemented
159#17988684C2211yescharacteristic, complemented
160#17988678C2211yescharacteristic
161#17988678C2211yescharacteristic
162C4×#11924017C2211yescharacteristic, complemented
163SD16×Dic73C2211yescharacteristic, complemented
164C4×#11924016C2211yescharacteristic
165D8×Dic73C2211yescharacteristic, complemented
166C4×#11924013C2211yescharacteristic, complemented
167#17988663C2211yescharacteristic
168#17988663C2211yescharacteristic, complemented
169#17988655C2211yescharacteristic
170#17988655C2211yescharacteristic, complemented
171D4×#10596831C2211yescharacteristic, complemented
172#17988645C2211yescharacteristic, complemented
173#17988645C2211yescharacteristic, complemented
174#17988638C2211yescharacteristic, complemented
175#17988629C2211yescharacteristic, complemented
176#17988629C2211yescharacteristic, complemented
177#17988628C2211yescharacteristic, complemented
178#17988626C2211yescharacteristic, complemented
179#17988623C2211yescharacteristic, complemented
180C2×#14556524C2211yescharacteristic, complemented
181#17988615C2211yescharacteristic, complemented
182#17988615C2211yescharacteristic, complemented
183#17988609C2211yescharacteristic, complemented
184#17988590C2211yescharacteristic
185#17988590C2211yescharacteristic
186#17988583C2211yescharacteristic
187C2×#14556512C2211yescharacteristic
188#553×C73C2211yescharacteristic, complemented
189#546×C73C2211yescharacteristic
190#488×C73C2211yescharacteristic, complemented
191#485×C73C2211yescharacteristic, complemented
192#480×C73C2211yescharacteristic, complemented
193#478×C73C2211yescharacteristic
194#469×C73C2211yescharacteristic, complemented
195#468×C73C2211yescharacteristic, complemented
196#463×C73C2211yescharacteristic, complemented
197#449×C73C2211yescharacteristic
198#447×C73C2211yescharacteristic
199C4×D8×C73C2211yescharacteristic
200#436×C73C2211yescharacteristic, complemented
201#418×C73C2211yescharacteristic
202#417×C73C2211yescharacteristic
203C2×#11924027—21no—
204C22×C22⋊D73—21no—
205C2×D4×D73C2311yescharacteristic
206C22×C4×D73—21no—
207C2×#11924018C2311yescharacteristic
208C2×#11924017C2311yescharacteristic
209C2×#11924016C2311yescharacteristic
210C2×#11924016C2311yescharacteristic
211C2×#11924013C2311yescharacteristic
212C2×#11924011C2311yescharacteristic
213C2×#11924011C2311yescharacteristic
214C22×#10596831C2311yescharacteristic
215C22×#10596831C2311yescharacteristic
216#14556591—21no—
217#14556590—21no—
218#14556590—21no—
219#14556590C2311yescharacteristic
220#14556590C2311yescharacteristic
221#14556590C2311yescharacteristic
222#14556590C2311yescharacteristic
223#14556590C2311yescharacteristic
224#14556587C2311yescharacteristic
225#14556586—21no—
226#14556586—21no—
227#14556586—21no—
228#14556585—21no—
229#14556584—21no—
230#14556584—21no—
231#14556584—21no—
232#14556584—21no—
233#14556584—21no—
234#14556584—21no—
235#14556584—21no—
236#14556584—21no—
237#14556584D411yescharacteristic
238#14556584D411yescharacteristic
239#14556583—21no—
240#14556583C2311yescharacteristic
241#14556583C2311yescharacteristic
242#14556582—21no—
243#14556582D411yescharacteristic
244#14556582C2311yescharacteristic
245#14556582C2311yescharacteristic
246#14556582C2311yescharacteristic
247#14556582C2311yescharacteristic
248#14556581—21no—
249#14556581—21no—
250#14556581—21no—
251#14556581—21no—
252#14556581—21no—
253#14556580C2311yescharacteristic
254#14556578—21no—
255#14556578—21no—
256#14556578—21no—
257#14556578D411yescharacteristic
258#14556578C2311yescharacteristic
259#14556577—21no—
260#14556577—21no—
261#14556577—21no—
262#14556577—21no—
263#14556575—21no—
264#14556575—21no—
265#14556575—21no—
266#14556574—21no—
267#14556574—21no—
268#14556573—21no—
269#14556573—21no—
270#14556573—21no—
271#14556573—21no—
272#14556573—21no—
273#14556573—21no—
274#14556573—21no—
275#14556573—21no—
276#14556573D411yescharacteristic
277#14556573D411yescharacteristic
278#14556572—21no—
279#14556572—21no—
280#14556572—21no—
281#14556572—21no—
282#14556571—21no—
283#14556571D411yescharacteristic
284#14556571C2311yescharacteristic
285#14556570—21no—
286#14556570—21no—
287#14556570—21no—
288#14556570—21no—
289#14556570C2311yescharacteristic
290#14556570C2311yescharacteristic
291#14556569—21no—
292#14556569—21no—
293#14556568—21no—
294#14556568—21no—
295#14556568—21no—
296#14556568—21no—
297#14556568—21no—
298#14556568—21no—
299#14556568—21no—
300#14556568—21no—
301#14556568—21no—
302#14556567C2311yescharacteristic
303#14556565C2311yescharacteristic
304#14556565C2311yescharacteristic
305#14556563—21no—
306#14556563—21no—
307#14556563—21no—
308#14556563—21no—
309#14556563—21no—
310#14556563—21no—
311#14556562—21no—
312#14556562D411yescharacteristic
313#14556562C2311yescharacteristic
314#14556562C2311yescharacteristic
315#14556560—21no—
316#14556559—21no—
317#14556559—21no—
318Q8×Dic73C2311yescharacteristic
319Q8×Dic73C2311yescharacteristic
320C4×Dic146—21no—
321C4×Dic146C2311yescharacteristic
322C4×Dic146C2311yescharacteristic
323#14556556—21no—
324#14556556—21no—
325#14556556—21no—
326#14556556C2311yescharacteristic
327#14556556C2311yescharacteristic
328C4×D292C2311yescharacteristic
329D4×Dic73—21no—
330D4×Dic73—21no—
331D4×Dic73—21no—
332D4×Dic73—21no—
333D4×Dic73—21no—
334D4×Dic73C2311yescharacteristic
335D4×Dic73C2311yescharacteristic
336D4×Dic73C2311yescharacteristic
337D4×Dic73C2311yescharacteristic
338D4×Dic73C2311yescharacteristic
339D4×Dic73C2311yescharacteristic
340D4×Dic73C2311yescharacteristic
341#14556553C2311yescharacteristic
342C4×C22⋊D73—21no—
343C4×C22⋊D73—21no—
344C4×C22⋊D73C2311yescharacteristic
345C4×C22⋊D73C2311yescharacteristic
346#14556551—21no—
347#14556551—21no—
348#14556551—21no—
349#14556551—21no—
350#14556550—21no—
351#14556550—21no—
352#14556550—21no—
353#14556550C2311yescharacteristic
354#14556550C2311yescharacteristic
355#14556550C2311yescharacteristic
356#14556550C2311yescharacteristic
357#14556549—21no—
358#14556549C2311yescharacteristic
359#14556549C2311yescharacteristic
360#14556547—21no—
361#14556547—21no—
362#14556547—21no—
363C2×C4⋊Dic73—21no—
364C2×C4⋊Dic73C2311yescharacteristic
365C2×C4⋊Dic73C2311yescharacteristic
366C2×#11924007—21no—
367C2×#11924007—21no—
368C4⋊C4×D73C2311yescharacteristic
369C2×C22⋊Dic73—21no—
370C2×C22⋊Dic73—21no—
371C2×#11924005—21no—
372C22⋊C4×D73—21no—
373C42×D73C2311yescharacteristic
374#14556525C2311yescharacteristic
375#14556525C2311yescharacteristic
376#14556525C2311yescharacteristic
377#14556525C2311yescharacteristic
378#14556524C2311yescharacteristic
379#14556524C2311yescharacteristic
380#14556524C2311yescharacteristic
381#14556524C2311yescharacteristic
382#14556524C2311yescharacteristic
383#14556524C2311yescharacteristic
384#14556523C2311yescharacteristic
385#14556523C2311yescharacteristic
386#14556523C2311yescharacteristic
387#14556523C2311yescharacteristic
388#14556523C2311yescharacteristic
389#14556522C2311yescharacteristic
390#14556522C2311yescharacteristic
391#14556522C2311yescharacteristic
392#14556522C2311yescharacteristic
393#14556522C2311yescharacteristic
394#14556522C2311yescharacteristic
395C4⋊#10596831C2311yescharacteristic
396#14556520C2311yescharacteristic
397#14556520C2311yescharacteristic
398#14556520C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556520C2311yescharacteristic
403#14556520C2311yescharacteristic
404#14556516C2311yescharacteristic
405#14556516C2311yescharacteristic
406#14556516C2311yescharacteristic
407#14556515C2311yescharacteristic
408#14556515C2311yescharacteristic
409#14556515C2311yescharacteristic
410#14556514C2311yescharacteristic
411#14556513C2311yescharacteristic
412#14556513C2311yescharacteristic
413#14556513C2311yescharacteristic
414#14556512C2311yescharacteristic
415#14556512C2311yescharacteristic
416#14556512C2311yescharacteristic
417#14556512C2311yescharacteristic
418#14556512C2311yescharacteristic
419#14556512C2311yescharacteristic
420#14556512C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556512C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425#14556511C2311yescharacteristic
426C22⋊#10596831C2311yescharacteristic
427C22⋊#10596831C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556503C2311yescharacteristic
430#14556501C2311yescharacteristic
431#14556501C2311yescharacteristic
432C4×#10596831C2311yescharacteristic
433C8×Dic73C2311yescharacteristic
434C8×Dic73C2311yescharacteristic
435C2×#41×C73C2311yescharacteristic
436C22×D4×C73C2311yescharacteristic
437C2×SD16×C73C2311yescharacteristic
438C2×D8×C73C2311yescharacteristic
439C2×D8×C73C2311yescharacteristic
440C2×M16×C73C2311yescharacteristic
441C2×M16×C73C2311yescharacteristic
442#126×C73—21no—
443#125×C73C2311yescharacteristic
444#124×C73C2311yescharacteristic
445#123×C73—21no—
446#123×C73—21no—
447C22⋊Q8×C73C2311yescharacteristic
448#121×C73—21no—
449#121×C73—21no—
450#121×C73C2311yescharacteristic
451#121×C73C2311yescharacteristic
452#121×C73C2311yescharacteristic
453#120×C73—21no—
454C4×D4×C73—21no—
455C4×D4×C73C2311yescharacteristic
456C4×D4×C73C2311yescharacteristic
457C4×D4×C73C2311yescharacteristic
458#117×C73C2311yescharacteristic
459C2×C4⋊C4×C73C2311yescharacteristic
460C2×C22⋊C4×C73—21no—
461#107×C73C2311yescharacteristic
462#107×C73C2311yescharacteristic
463#106×C73C2311yescharacteristic
464C4⋊C8×C73C2311yescharacteristic
465#103×C73C2311yescharacteristic
466#103×C73C2311yescharacteristic
467#103×C73C2311yescharacteristic
468#102×C73C2311yescharacteristic
469#102×C73C2311yescharacteristic
470#102×C73C2311yescharacteristic
471#102×C73C2311yescharacteristic
472#102×C73C2311yescharacteristic
473#102×C73C2311yescharacteristic
474#102×C73C2311yescharacteristic
475C22⋊C8×C73C2311yescharacteristic
476C22⋊C8×C73C2311yescharacteristic
477C4×C8×C73C2311yescharacteristic
478C23×D73—21no—
479#11924027—82no—
480C2×Dic146—21no—
481C2×Dic146—21no—
482C2×Dic146—21no—
483C2×Dic146—21no—
484C2×Dic146—21no—
485C2×Dic146C2×D411yescharacteristic
486C2×Dic146C2411yescharacteristic
487C2×D292C2411yescharacteristic
488C2×C22⋊D73—21no—
489C2×C22⋊D73—21no—
490C2×C22⋊D73—21no—
491C2×C22⋊D73—21no—
492C2×C22⋊D73—21no—
493C2×C22⋊D73—21no—
494C2×C22⋊D73—21no—
495C2×C22⋊D73—82no—
496C2×C22⋊D73C2×D411yescharacteristic
497C2×C22⋊D73C2×D411yescharacteristic
498D4×D73—22no—
499D4×D73—41no—
500C22×Dic73—21no—
501C22×Dic73—21no—
502C22×Dic73—21no—
503C22×Dic73—21no—
504C22×Dic73—21no—
505C22×Dic73—21no—
506C22×Dic73—21no—
507C22×Dic73—21no—
508C22×Dic73—21no—
509C2×C4×D73—21no—
510C2×C4×D73—21no—
511C2×C4×D73—21no—
512C2×C4×D73—82no—
513C2×C4×D73C2×D411yescharacteristic
514C2×C4×D73C2×D411yescharacteristic
515C2×C4×D73C2411yescharacteristic
516#11924018—41no—
517#11924017—41no—
518#11924016—22no—
519#11924016—41no—
520#11924013—41no—
521#11924011—41no—
522#11924011—41no—
523C2×#10596831—41no—
524C2×#10596831—41no—
525C2×#10596831C2411yescharacteristic
526C2×#10596831C2411yescharacteristic
527C2×#10596831C2411yescharacteristic
528C2×#10596831C2411yescharacteristic
529C4⋊Dic73—21no—
530C4⋊Dic73—21no—
531C4⋊Dic73—21no—
532C4⋊Dic73—21no—
533C4⋊Dic73—21no—
534C4⋊Dic73—21no—
535C4⋊Dic73—21no—
536C4⋊Dic73—21no—
537C4⋊Dic73—21no—
538C4⋊Dic73C2×D411yescharacteristic
539C4⋊Dic73C2×D411yescharacteristic
540C4⋊Dic73C2×D411yescharacteristic
541C4⋊Dic73C2×D411yescharacteristic
542C4⋊Dic73C2×D411yescharacteristic
543C4⋊Dic73C2411yescharacteristic
544C4⋊Dic73C2411yescharacteristic
545C4⋊Dic73C2411yescharacteristic
546C4⋊Dic73C2411yescharacteristic
547C4⋊Dic73C2411yescharacteristic
548C4⋊Dic73C2411yescharacteristic
549#11924007—21no—
550#11924007—21no—
551#11924007—21no—
552#11924007—21no—
553#11924007—21no—
554#11924007—21no—
555#11924007—21no—
556#11924007—21no—
557#11924007—21no—
558#11924007—21no—
559#11924007—21no—
560#11924007—21no—
561#11924007—21no—
562#11924007—21no—
563#11924007—21no—
564#11924007—21no—
565#11924007—21no—
566#11924007—21no—
567#11924007—21no—
568#11924007—21no—
569#11924007C2×D411yescharacteristic
570#11924007C2×D411yescharacteristic
571#11924007C2×D411yescharacteristic
572#11924007C2×D411yescharacteristic
573C22⋊Dic73—21no—
574C22⋊Dic73—21no—
575C22⋊Dic73—21no—
576C22⋊Dic73—21no—
577C22⋊Dic73—21no—
578C22⋊Dic73—21no—
579C22⋊Dic73—21no—
580C22⋊Dic73—21no—
581C22⋊Dic73—21no—
582C22⋊Dic73—21no—
583C22⋊Dic73—21no—
584C22⋊Dic73—21no—
585C22⋊Dic73—21no—
586C22⋊Dic73—21no—
587C22⋊Dic73—21no—
588C22⋊Dic73C2×D411yescharacteristic
589C22⋊Dic73C2×D411yescharacteristic
590C22⋊Dic73C2×D411yescharacteristic
591C22⋊Dic73C2×D411yescharacteristic
592C22⋊Dic73C2×D411yescharacteristic
593C22⋊Dic73C2×D411yescharacteristic
594#11924005—21no—
595#11924005—21no—
596#11924005—21no—
597#11924005—21no—
598#11924005—21no—
599#11924005—21no—
600#11924005—21no—
601#11924005—21no—
602#11924005—21no—
603#11924005—21no—
604#11924005C2×D411yescharacteristic
605#11924005C2×D411yescharacteristic
606C4×Dic73—21no—
607C4×Dic73—21no—
608C4×Dic73—21no—
609C4×Dic73—21no—
610C4×Dic73—21no—
611C4×Dic73—21no—
612C4×Dic73—21no—
613C4×Dic73—21no—
614C4×Dic73—21no—
615C4×Dic73C2×D411yescharacteristic
616C4×Dic73C2×D411yescharacteristic
617C4×Dic73C2411yescharacteristic
618C4×Dic73C2411yescharacteristic
619C4×Dic73C2411yescharacteristic
620C24×C73—21no—
621#41×C73—22no—
622#41×C73—41no—
623C2×Q8×C73C2411yescharacteristic
624C2×D4×C73—22no—
625C2×D4×C73—21no—
626C2×D4×C73—21no—
627C2×D4×C73—21no—
628C2×D4×C73—21no—
629C2×D4×C73—21no—
630C2×D4×C73—41no—
631C2×D4×C73C2×D411yescharacteristic
632C2×D4×C73C2411yescharacteristic
633C2×D4×C73C2411yescharacteristic
634C2×D4×C73C2411yescharacteristic
635C22×C4×C73—21no—
636C22×C4×C73—21no—
637C22×C4×C73—21no—
638C22×C4×C73—21no—
639C22×C4×C73C2411yescharacteristic
640C22×C4×C73C2411yescharacteristic
641SD16×C73—41no—
642D8×C73—22no—
643D8×C73—41no—
644M16×C73—41no—
645M16×C73—41no—
646C2×C8×C73C2411yescharacteristic
647C2×C8×C73C2411yescharacteristic
648C2×C8×C73C2411yescharacteristic
649C2×C8×C73C2411yescharacteristic
650C4⋊C4×C73—21no—
651C4⋊C4×C73—21no—
652C4⋊C4×C73—21no—
653C4⋊C4×C73—21no—
654C4⋊C4×C73C2×D411yescharacteristic
655C4⋊C4×C73C2411yescharacteristic
656C4⋊C4×C73C2411yescharacteristic
657C4⋊C4×C73C2411yescharacteristic
658C4⋊C4×C73C2411yescharacteristic
659C22⋊C4×C73—21no—
660C22⋊C4×C73—21no—
661C22⋊C4×C73—21no—
662C22⋊C4×C73—21no—
663C22⋊C4×C73—21no—
664C22⋊C4×C73—21no—
665C22⋊C4×C73—21no—
666C22⋊C4×C73—21no—
667C22⋊C4×C73—21no—
668C22⋊C4×C73C2×D411yescharacteristic
669C22⋊C4×C73C2×D411yescharacteristic
670C42×C73—21no—
671C42×C73C2411yescharacteristic
672C23×C73—21no—
673C23×C73—21no—
674C23×C73—21no—
675C23×C73—42no—
676C23×C73—81no—
677C23×C73—81no—
678C23×C73C22×D411yescharacteristic
679C23×C73C22×D411yescharacteristic
680C22×D73—21no—
681C22×D73—42no—
682C22×D73—42no—
683C22×D73—81no—
684C22×D73C22×D411yescharacteristic
685Q8×C73—21no—
686Q8×C73—21no—
687D4×C73—21no—
688D4×C73—21no—
689D4×C73—21no—
690D4×C73—21no—
691D4×C73—21no—
692D4×C73—41no—
693D4×C73—42no—
694D4×C73—42no—
695D4×C73—81no—
696D4×C73—81no—
697D4×C73—81no—
698D4×C732−1+412yes—
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—42no—
709C2×C4×C73—81no—
710C2×C4×C73—81no—
711C2×C4×C73—81no—
712C2×C4×C73C22×D411yescharacteristic
713C2×C4×C73C22×D411yescharacteristic
714C2×C4×C73C22×D411yescharacteristic
715C2×C4×C73C22×D411yescharacteristic
716C2×C4×C73C2511yescharacteristic
717C22⋊D73—41no—
718C22⋊D73—41no—
719C22⋊D73—42no—
720C22⋊D73—42no—
721C22⋊D73—81no—
722C22⋊D73—81no—
723C22⋊D73—81no—
724C22⋊D73—81no—
725C22⋊D73—81no—
726C2×Dic73—21no—
727C2×Dic73—21no—
728C2×Dic73—21no—
729C2×Dic73—21no—
730C2×Dic73—21no—
731C2×Dic73—21no—
732C2×Dic73—21no—
733C2×Dic73—81no—
734C2×Dic73—81no—
735C2×Dic73—81no—
736C2×Dic73—81no—
737C2×Dic73—81no—
738C2×Dic73—81no—
739C2×Dic73—81no—
740C2×Dic73—81no—
741C2×Dic73—81no—
742C2×Dic73C22×D411yescharacteristic
743C2×Dic73C22×D411yescharacteristic
744C2×Dic73C22×D411yescharacteristic
745C2×Dic73C22×D411yescharacteristic
746C2×Dic73C22×D411yescharacteristic
747C2×Dic73C22×D411yescharacteristic
748C2×Dic73C22×D411yescharacteristic
749D292—21no—
750D292—21no—
751C4×D73—21no—
752C4×D73—21no—
753C4×D73—41no—
754C4×D73—41no—
755C4×D73—42no—
756C4×D73—81no—
757C4×D73—81no—
758Dic146—21no—
759Dic146—21no—
760Dic146—41no—
761Dic146—81no—
762Dic146—81no—
763Dic146—81no—
764Dic146—81no—
765Dic146—81no—
766C8×C73—21no—
767C8×C73—21no—
768C8×C73—21no—
769C8×C73—21no—
770#10596831—21no—
771#10596831—21no—
772#10596831—21no—
773#10596831—21no—
774C22×C73—21no—
775C22×C73—21no—
776C22×C73—21no—
777C22×C73—21no—
778C22×C73—22no—
779C22×C73—21no—
780C22×C73—21no—
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—162no—
790C22×C73C23×D411yescharacteristic
791C2×D73—21no—
792C2×D73—21no—
793C2×D73—21no—
794C2×D73—41no—
795C2×D73—41no—
796C2×D73—41no—
797C2×D73—84no—
798C4×C73—21no—
799C4×C73—21no—
800C4×C73—21no—
801C4×C73—21no—
802C4×C73—41no—
803C4×C73—41no—
804C4×C73—41no—
805C4×C73—41no—
806C4×C73—41no—
807C4×C73C2×2−1+411yescharacteristic
808C4×C73#58511yescharacteristic
809Dic73—21no—
810Dic73—21no—
811Dic73—21no—
812Dic73—21no—
813Dic73—21no—
814Dic73—21no—
815Dic73—21no—
816Dic73—41no—
817Dic73—41no—
818Dic73—41no—
819Dic73—41no—
820Dic73—41no—
821Dic73—41no—
822Dic73—41no—
823#62175—731nomaximal, Sylow
824C2×C73—42no—
825C2×C73—41no—
826C2×C73—41no—
827C2×C73—81no—
828C2×C73—81no—
829C2×C73#348911yescharacteristic
830C2×C73#358411yescharacteristic
831C2×C73#358511yescharacteristic
832D73—41no—
833D73—81no—
834#3565—731no—
835#3513—731no—
836#3389—731no—
837#3381—731no—
838#3371—731no—
839#3361—731no—
840#3354—731no—
841#3351—731no—
842#3351—731no—
843#3349—731no—
844#3343—731no—
845#3339—731no—
846#3324—731no—
847#3323—731no—
848#3322D7311yescharacteristic, complemented
849#3319—731no—
850#3318—731no—
851#3296—731no—
852#3262—731no—
853#3257—731no—
854#3256—731no—
855#3244—731no—
856#3241—731no—
857#3233—731no—
858#3125—731no—
859#3118—731no—
860#3105—731no—
861#3083—731no—
862#3081—731no—
863#3077—731no—
864#2993—731no—
865C73#6217511yescharacteristic, complemented, Sylow
866#563—1461no—
867#562—1461no—
868#559—731no—
869#557—731no—
870#556—731no—
871#556—1461no—
872#555—731no—
873#554—731no—
874#554—731no—
875#553—731no—
876#553—731no—
877#553—1461no—
878#553C2×D7311yescharacteristic, complemented
879#552—731no—
880#552—731no—
881#552—731no—
882#552—1461no—
883#551—1461no—
884#551—1461no—
885#547—731no—
886#546—731no—
887#546—1461no—
888#546C2×D7311yescharacteristic
889D42—731no—
890#544—731no—
891#544—731no—
892#542—731no—
893#542—731no—
894#542—731no—
895#542—1461no—
896#542—1461no—
897#541—1461no—
898#540—731no—
899#539—1461no—
900#539—1461no—
901#538—1461no—
902#533—731no—
903#529—731no—
904#529—731no—
905#529—731no—
906#525—1461no—
907C2×#123—1461no—
908#520—731no—
909#518—731no—
910C2×C4×D4—731no—
911#501—731no—
912#501—731no—
913#499—731no—
914#499—731no—
915#499—731no—
916#498—731no—
917#490—731no—
918#489—731no—
919#488—731no—
920#488—731no—
921#488C2×D7311yescharacteristic, complemented
922#486—731no—
923#485—731no—
924#485—731no—
925#485—731no—
926#485C2×D7311yescharacteristic, complemented
927#484—731no—
928#483—731no—
929#483—731no—
930#482—731no—
931#482—731no—
932#482—731no—
933#482—731no—
934#482—731no—
935#482—731no—
936#481—731no—
937#481—731no—
938#481—731no—
939#481—731no—
940#480C2×D7311yescharacteristic, complemented
941#479—731no—
942#479—731no—
943#479—731no—
944#479—731no—
945#478—731no—
946#478—731no—
947#478—731no—
948#478—731no—
949#478—731no—
950#478—731no—
951#478—731no—
952#478—731no—
953#478—731no—
954#478—731no—
955#478—731no—
956#478C2×D7311yescharacteristic
957#477—731no—
958#477—731no—
959#477—731no—
960#476—731no—
961#476—731no—
962#476—731no—
963#476—731no—
964#475—731no—
965#474—731no—
966#474—731no—
967#474—731no—
968#474—731no—
969#474—731no—
970#474—731no—
971#470—731no—
972#469—731no—
973#469C2×D7311yescharacteristic, complemented
974#468—731no—
975#468—731no—
976#468—731no—
977#468—731no—
978#468C2×D7311yescharacteristic, complemented
979#467—731no—
980#466—731no—
981#466—731no—
982#465—731no—
983#464—731no—
984#464—731no—
985#464—731no—
986#463—731no—
987#463—731no—
988#463—731no—
989#463—731no—
990#463C2×D7311yescharacteristic, complemented
991#460—731no—
992#459—731no—
993#452—731no—
994#450—731no—
995#450—731no—
996#449C2×D7311yescharacteristic
997#447—731no—
998#447C2×D7311yescharacteristic
999#446—731no—
1000C8×Q8—731no—
1001#442—731no—
1002#442—731no—
1003#441—731no—
1004#440—731no—
1005C4×SD16—731no—
1006C4×SD16—731no—
1007C4×SD16—731no—
1008C4×SD16—731no—
1009C4×SD16—731no—
1010C4×D8—731no—
1011C4×D8—731no—
1012C4×D8C2×D7311yescharacteristic
1013#436—731no—
1014#436—731no—
1015#436C2×D7311yescharacteristic, complemented
1016#435—731no—
1017#435—731no—
1018C8×D4—731no—
1019#433—731no—
1020#433—731no—
1021#431—731no—
1022#428—731no—
1023#428—731no—
1024#428—731no—
1025#428—731no—
1026#427—731no—
1027C2×#107—731no—
1028#424—731no—
1029#424—731no—
1030#423—731no—
1031#418—731no—
1032#418—731no—
1033#418C2×D7311yescharacteristic
1034#417C2×D7311yescharacteristic
1035#416—731no—
1036C2×#102—731no—
1037C2×#41—1461no—
1038C2×#41C22×D7311yescharacteristic
1039C22×D4—731no—
1040C22×D4—1461no—
1041C22×D4C22×D7311yescharacteristic
1042C23×C4—1461no—
1043C2×Q16—731no—
1044C2×SD16—731no—
1045C2×SD16—731no—
1046C2×SD16—731no—
1047C2×SD16C22×D7311yescharacteristic
1048C2×D8—731no—
1049C2×D8C22×D7311yescharacteristic
1050C2×D8C22×D7311yescharacteristic
1051C2×M16—731no—
1052C2×M16—731no—
1053C2×M16C22×D7311yescharacteristic
1054C2×M16C22×D7311yescharacteristic
1055C22×C8—731no—
1056C22×C8—731no—
1057C4⋊Q8—731no—
1058C4⋊Q8—731no—
1059C4⋊Q8—731no—
1060C4⋊Q8—731no—
1061C4⋊Q8—731no—
1062C4⋊Q8—1461no—
1063C4⋊Q8—1461no—
1064C4⋊Q8—1461no—
1065#127—731no—
1066#126—21no—
1067#126—731no—
1068#126—731no—
1069#126—1461no—
1070#126—1461no—
1071#126—1461no—
1072#126—1461no—
1073#126—1461no—
1074#126—1461no—
1075#126—1461no—
1076#126—1461no—
1077#126—1461no—
1078#126—1461no—
1079#126—1461no—
1080#126—1461no—
1081#125—731no—
1082#125—731no—
1083#125—731no—
1084#125—731no—
1085#125—731no—
1086#125—731no—
1087#125—731no—
1088#125—1461no—
1089#125—1461no—
1090#125—1461no—
1091#125—1461no—
1092#125—1461no—
1093#125—1461no—
1094#125—1461no—
1095#125C22×D7311yescharacteristic
1096#124—731no—
1097#124—731no—
1098#124—731no—
1099#124—1461no—
1100#124—1461no—
1101#124—1461no—
1102#124—1461no—
1103#124—1461no—
1104#124—1461no—
1105#124—1461no—
1106#124C22×D7311yescharacteristic
1107#123—21no—
1108#123—21no—
1109#123—731no—
1110#123—731no—
1111#123—1461no—
1112#123—1461no—
1113#123—1461no—
1114#123—1461no—
1115#123—1461no—
1116#123—1461no—
1117#123—1461no—
1118#123—1461no—
1119#123—1461no—
1120#123—1461no—
1121#123—1461no—
1122#123—1461no—
1123#123—1461no—
1124#123—1461no—
1125#123—1461no—
1126#123—1461no—
1127#123—1461no—
1128C22⋊Q8—731no—
1129C22⋊Q8—731no—
1130C22⋊Q8—731no—
1131C22⋊Q8—731no—
1132C22⋊Q8—731no—
1133C22⋊Q8—1461no—
1134C22⋊Q8—1461no—
1135C22⋊Q8—1461no—
1136C22⋊Q8—1461no—
1137C22⋊Q8—1461no—
1138C22⋊Q8—1461no—
1139C22⋊Q8—1461no—
1140C22⋊Q8—1461no—
1141C22⋊Q8—1461no—
1142C22⋊Q8—1461no—
1143C22⋊Q8—1461no—
1144C22⋊Q8—1461no—
1145C22⋊Q8—1461no—
1146C22⋊Q8—1461no—
1147C22⋊Q8—1461no—
1148C22⋊Q8—1461no—
1149C22⋊Q8C22×D7311yescharacteristic
1150#121—21no—
1151#121—21no—
1152#121—731no—
1153#121—731no—
1154#121—731no—
1155#121—731no—
1156#121—731no—
1157#121—1461no—
1158#121—1461no—
1159#121—1461no—
1160#121—1461no—
1161#121—1461no—
1162#121—1461no—
1163#121—1461no—
1164#121C22×D7311yescharacteristic
1165#121C22×D7311yescharacteristic
1166#121C22×D7311yescharacteristic
1167#120—21no—
1168#120—1461no—
1169#120—1461no—
1170#120—1461no—
1171C4×Q8—731no—
1172C4×Q8—731no—
1173C4×Q8—731no—
1174C4×Q8—731no—
1175C4×Q8—731no—
1176C4×Q8—731no—
1177C4×Q8—1461no—
1178C4×Q8—1461no—
1179C4×Q8—1461no—
1180C4×Q8—1461no—
1181C4×D4—21no—
1182C4×D4—731no—
1183C4×D4—731no—
1184C4×D4—731no—
1185C4×D4—731no—
1186C4×D4—731no—
1187C4×D4—731no—
1188C4×D4—731no—
1189C4×D4—731no—
1190C4×D4—731no—
1191C4×D4—731no—
1192C4×D4—731no—
1193C4×D4—1461no—
1194C4×D4—1461no—
1195C4×D4—1461no—
1196C4×D4—1461no—
1197C4×D4—1461no—
1198C4×D4—1461no—
1199C4×D4—1461no—
1200C4×D4—1461no—
1201C4×D4—1461no—
1202C4×D4—1461no—
1203C4×D4—1461no—
1204C4×D4C22×D7311yescharacteristic
1205C4×D4C22×D7311yescharacteristic
1206C4×D4C22×D7311yescharacteristic
1207#117—731no—
1208#117—731no—
1209#117—731no—
1210#117—731no—
1211#117—731no—
1212#117—731no—
1213#117—1461no—
1214#117—1461no—
1215#117—1461no—
1216#117—1461no—
1217#117—1461no—
1218#117—1461no—
1219#117—1461no—
1220#117C22×D7311yescharacteristic
1221C2×C4⋊C4—731no—
1222C2×C4⋊C4—731no—
1223C2×C4⋊C4—731no—
1224C2×C4⋊C4—1461no—
1225C2×C4⋊C4—1461no—
1226C2×C4⋊C4—1461no—
1227C2×C4⋊C4C22×D7311yescharacteristic
1228C2×C22⋊C4—21no—
1229C2×C22⋊C4—1461no—
1230C2×C22⋊C4—1461no—
1231C2×C22⋊C4—1461no—
1232C2×C22⋊C4—1461no—
1233C2×C42—731no—
1234#107—731no—
1235#107—731no—
1236#107—731no—
1237#107—731no—
1238#107—731no—
1239#107—731no—
1240#107—731no—
1241#107—731no—
1242#107—731no—
1243#107—731no—
1244#107C22×D7311yescharacteristic
1245#107C22×D7311yescharacteristic
1246#106—731no—
1247#106—731no—
1248#106—731no—
1249#106—731no—
1250#106—731no—
1251#106—731no—
1252#106—731no—
1253#106—731no—
1254#106—731no—
1255#106—731no—
1256#106—731no—
1257#106C22×D7311yescharacteristic
1258C4⋊C8—731no—
1259C4⋊C8—731no—
1260C4⋊C8—731no—
1261C4⋊C8—731no—
1262C4⋊C8—731no—
1263C4⋊C8—731no—
1264C4⋊C8—731no—
1265C4⋊C8—731no—
1266C4⋊C8—731no—
1267C4⋊C8C22×D7311yescharacteristic
1268#103—731no—
1269#103—731no—
1270#103—731no—
1271#103—731no—
1272#103—731no—
1273#103—731no—
1274#103—731no—
1275#103C22×D7311yescharacteristic
1276#103C22×D7311yescharacteristic
1277#103C22×D7311yescharacteristic
1278#102—731no—
1279#102—731no—
1280#102—731no—
1281#102—731no—
1282#102—731no—
1283#102—731no—
1284#102—731no—
1285#102—731no—
1286#102—731no—
1287#102—731no—
1288#102—731no—
1289#102—731no—
1290#102—731no—
1291#102—731no—
1292#102—731no—
1293#102C22×D7311yescharacteristic
1294#102C22×D7311yescharacteristic
1295#102C22×D7311yescharacteristic
1296#102C22×D7311yescharacteristic
1297#102C22×D7311yescharacteristic
1298#102C22×D7311yescharacteristic
1299#102C22×D7311yescharacteristic
1300C22⋊C8—731no—
1301C22⋊C8—731no—
1302C22⋊C8—731no—
1303C22⋊C8—731no—
1304C22⋊C8C22×D7311yescharacteristic
1305C22⋊C8C22×D7311yescharacteristic
1306#97—731no—
1307#97—731no—
1308C4×C8—731no—
1309C4×C8—731no—
1310C4×C8—731no—
1311C4×C8C22×D7311yescharacteristic
1312C24—21no—
1313C24—1461no—
1314#41—22no—
1315#41—41no—
1316#41—5842no—
1317C2×Q8—731no—
1318C2×Q8—731no—
1319C2×Q8—1461no—
1320C2×Q8—1461no—
1321C2×Q8—1461no—
1322C2×Q8—1461no—
1323C2×Q8—1461no—
1324C2×Q8C23×D7311yescharacteristic
1325C2×D4—22no—
1326C2×D4—21no—
1327C2×D4—21no—
1328C2×D4—21no—
1329C2×D4—21no—
1330C2×D4—21no—
1331C2×D4—41no—
1332C2×D4—2921no—
1333C2×D4—5842no—
1334C2×D4—731no—
1335C2×D4—731no—
1336C2×D4—731no—
1337C2×D4—1461no—
1338C2×D4—1461no—
1339C2×D4—1461no—
1340C2×D4—1461no—
1341C2×D4—1462no—
1342C2×D4—1461no—
1343C2×D4—1461no—
1344C2×D4—1461no—
1345C2×D4D4×D7311yescharacteristic
1346C2×D4C23×D7311yescharacteristic
1347C2×D4C23×D7311yescharacteristic
1348C2×D4C23×D7311yescharacteristic
1349C22×C4—21no—
1350C22×C4—21no—
1351C22×C4—21no—
1352C22×C4—21no—
1353C22×C4—5842no—
1354C22×C4—731no—
1355C22×C4—731no—
1356C22×C4—731no—
1357C22×C4—1461no—
1358C22×C4—1461no—
1359C22×C4—1461no—
1360C22×C4—1461no—
1361C22×C4—1461no—
1362C22×C4—1461no—
1363C22×C4—1461no—
1364C22×C4—1461no—
1365C22×C4—1461no—
1366C22×C4—1461no—
1367C22×C4—1461no—
1368C22×C4—1461no—
1369C22×C4C23×D7311yescharacteristic
1370C22×C4C23×D7311yescharacteristic
1371Q16—2921no—
1372SD16—41no—
1373SD16—2921no—
1374SD16—2921no—
1375SD16—1462no—
1376D8—22no—
1377D8—41no—
1378D8—2921no—
1379M16—41no—
1380M16—41no—
1381M16—2921no—
1382M16—2921no—
1383C2×C8—2921no—
1384C2×C8—2921no—
1385C2×C8—731no—
1386C2×C8—731no—
1387C2×C8—731no—
1388C2×C8—731no—
1389C2×C8C23×D7311yescharacteristic
1390C2×C8C23×D7311yescharacteristic
1391C2×C8C23×D7311yescharacteristic
1392C2×C8C23×D7311yescharacteristic
1393C4⋊C4—21no—
1394C4⋊C4—21no—
1395C4⋊C4—21no—
1396C4⋊C4—21no—
1397C4⋊C4—731no—
1398C4⋊C4—731no—
1399C4⋊C4—731no—
1400C4⋊C4—731no—
1401C4⋊C4—731no—
1402C4⋊C4—731no—
1403C4⋊C4—731no—
1404C4⋊C4—731no—
1405C4⋊C4—731no—
1406C4⋊C4—731no—
1407C4⋊C4—731no—
1408C4⋊C4—731no—
1409C4⋊C4—731no—
1410C4⋊C4—731no—
1411C4⋊C4—731no—
1412C4⋊C4—1461no—
1413C4⋊C4—1461no—
1414C4⋊C4—1461no—
1415C4⋊C4—1461no—
1416C4⋊C4—1461no—
1417C4⋊C4—1461no—
1418C4⋊C4—1461no—
1419C4⋊C4—1461no—
1420C4⋊C4—1461no—
1421C4⋊C4—1461no—
1422C4⋊C4—1461no—
1423C4⋊C4—1461no—
1424C4⋊C4—1461no—
1425C4⋊C4—1461no—
1426C4⋊C4—1461no—
1427C4⋊C4—1461no—
1428C4⋊C4—1461no—
1429C4⋊C4—1461no—
1430C4⋊C4—1461no—
1431C4⋊C4—1461no—
1432C4⋊C4—1461no—
1433C4⋊C4—1461no—
1434C4⋊C4—1461no—
1435C4⋊C4—1461no—
1436C4⋊C4—1461no—
1437C4⋊C4—1461no—
1438C4⋊C4—1461no—
1439C4⋊C4—1461no—
1440C4⋊C4—1461no—
1441C4⋊C4D4×D7311yescharacteristic
1442C4⋊C4C23×D7311yescharacteristic
1443C4⋊C4C23×D7311yescharacteristic
1444C4⋊C4C23×D7311yescharacteristic
1445C4⋊C4C23×D7311yescharacteristic
1446C22⋊C4—21no—
1447C22⋊C4—21no—
1448C22⋊C4—21no—
1449C22⋊C4—21no—
1450C22⋊C4—21no—
1451C22⋊C4—21no—
1452C22⋊C4—21no—
1453C22⋊C4—21no—
1454C22⋊C4—21no—
1455C22⋊C4—731no—
1456C22⋊C4—731no—
1457C22⋊C4—731no—
1458C22⋊C4—731no—
1459C22⋊C4—731no—
1460C22⋊C4—731no—
1461C22⋊C4—731no—
1462C22⋊C4—731no—
1463C22⋊C4—1461no—
1464C22⋊C4—1461no—
1465C22⋊C4—1461no—
1466C22⋊C4—1461no—
1467C22⋊C4—1461no—
1468C22⋊C4—1461no—
1469C22⋊C4—1461no—
1470C22⋊C4—1461no—
1471C22⋊C4—1461no—
1472C22⋊C4—1461no—
1473C22⋊C4—1461no—
1474C22⋊C4—1461no—
1475C22⋊C4—1461no—
1476C22⋊C4—1461no—
1477C22⋊C4—1461no—
1478C22⋊C4—1461no—
1479C22⋊C4—1461no—
1480C22⋊C4—1461no—
1481C22⋊C4—1461no—
1482C22⋊C4—1461no—
1483C22⋊C4—1461no—
1484C22⋊C4—1461no—
1485C22⋊C4—1461no—
1486C22⋊C4—1461no—
1487C22⋊C4—1461no—
1488C22⋊C4D4×D7311yescharacteristic
1489C22⋊C4D4×D7311yescharacteristic
1490C42—21no—
1491C42—731no—
1492C42—731no—
1493C42—731no—
1494C42—731no—
1495C42—731no—
1496C42—1461no—
1497C42—1461no—
1498C42—1461no—
1499C42—1461no—
1500C42—1461no—
1501C42—1461no—
1502C42—1461no—
1503C42—1461no—
1504C42—1461no—
1505C42C23×D7311yescharacteristic
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—42no—
1510C23—81no—
1511C23—81no—
1512C23—2922no—
1513C23—2922no—
1514C23—5841no—
1515C23—731no—
1516C23—1461no—
1517C23C2×D4×D7311yescharacteristic
1518C23C2×D4×D7311yescharacteristic
1519Q8—21no—
1520Q8—21no—
1521Q8—2921no—
1522Q8—5841no—
1523Q8—5841no—
1524Q8—5841no—
1525Q8—5841no—
1526Q8—5841no—
1527Q8—1461no—
1528Q8—1461no—
1529D4—21no—
1530D4—21no—
1531D4—21no—
1532D4—21no—
1533D4—21no—
1534D4—41no—
1535D4—42no—
1536D4—42no—
1537D4—81no—
1538D4—81no—
1539D4—81no—
1540D4—2922no—
1541D4—2922no—
1542D4—2921no—
1543D4—2921no—
1544D4—5841no—
1545D4—5841no—
1546D4—5841no—
1547D4—5841no—
1548D4—5841no—
1549D4—1461no—
1550D4—1461no—
1551D4#1455663812yes—
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—42no—
1562C2×C4—81no—
1563C2×C4—81no—
1564C2×C4—81no—
1565C2×C4—2921no—
1566C2×C4—2921no—
1567C2×C4—2922no—
1568C2×C4—5841no—
1569C2×C4—5841no—
1570C2×C4—5841no—
1571C2×C4—5841no—
1572C2×C4—5841no—
1573C2×C4—5841no—
1574C2×C4—5841no—
1575C2×C4—5841no—
1576C2×C4—5841no—
1577C2×C4—5841no—
1578C2×C4—5841no—
1579C2×C4—731no—
1580C2×C4—731no—
1581C2×C4—731no—
1582C2×C4—731no—
1583C2×C4—731no—
1584C2×C4—731no—
1585C2×C4—731no—
1586C2×C4—1461no—
1587C2×C4—1461no—
1588C2×C4—1461no—
1589C2×C4—1461no—
1590C2×C4—1461no—
1591C2×C4—1461no—
1592C2×C4—1461no—
1593C2×C4—1461no—
1594C2×C4—1461no—
1595C2×C4C2×D4×D7311yescharacteristic
1596C2×C4C2×D4×D7311yescharacteristic
1597C2×C4C2×D4×D7311yescharacteristic
1598C2×C4C2×D4×D7311yescharacteristic
1599C2×C4C24×D7311yescharacteristic
1600C8—21no—
1601C8—21no—
1602C8—21no—
1603C8—21no—
1604C8—1461no—
1605C8—1461no—
1606C8—1461no—
1607C8—1461no—
1608C22—21no—
1609C22—21no—
1610C22—22no—
1611C22—21no—
1612C22—21no—
1613C22—21no—
1614C22—21no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—41no—
1623C22—162no—
1624C22—2921no—
1625C22—2921no—
1626C22—2921no—
1627C22—5844no—
1628C22—1461no—
1629C22—1461no—
1630C22—1461no—
1631C22C22×D4×D7311yescharacteristic
1632C4—21no—
1633C4—21no—
1634C4—21no—
1635C4—21no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—2921no—
1642C4—2921no—
1643C4—2921no—
1644C4—2921no—
1645C4—2921no—
1646C4—2921no—
1647C4—2921no—
1648C4—1461no—
1649C4—1461no—
1650C4—1461no—
1651C4—1461no—
1652C4—1461no—
1653C4—1461no—
1654C4—1461no—
1655C4C2×#1455663811yescharacteristic
1656C4#1798942211yescharacteristic
1657C2—41no—
1658C2—41no—
1659C2—42no—
1660C2—81no—
1661C2—81no—
1662C2—2921no—
1663C2—5841no—
1664C2#2262360211yescharacteristic
1665C2#2262470411yescharacteristic
1666C2#2262470611yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3322C2
socleC22×C73C23×D4
hypercenter#3322D73
hypocenterC73#62175
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3322

Complements

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

NH ≅ G/Ntype
1. #22624566C2semidirect
2. #22623860C2semidirect
3. #22622887C2semidirect
4. #22622801C2semidirect
5. #22622705C2semidirect
6. #22622586C2semidirect
7. #22622521C2semidirect
8. #22622493C2semidirect
9. #22622486C2semidirect
10. #22622459C2semidirect
11. #22622375C2semidirect
12. #22622327C2semidirect
13. #22622158C2semidirect
14. #22622148C2semidirect
15. #22622091C2semidirect
16. #22622076C2semidirect
17. #22621766C2semidirect
18. #22621388C2semidirect
19. #22621343C2semidirect
20. #22621329C2semidirect
21. #22621235C2semidirect
22. #22621180C2semidirect
23. #22621105C2semidirect
24. #22620209C2semidirect
25. #22620108C2semidirect
26. #22619976C2semidirect
27. #22619786C2semidirect
28. #22619764C2semidirect
29. #22619726C2semidirect
30. #22619075C2semidirect
31. C73×#3322C2semidirect
35. #17989314C22semidirect
38. #17989301C22semidirect
40. #17989296C22semidirect
44. #17989277C22semidirect
46. #17989272C22semidirect
54. #17989218C22semidirect
55. #17989215C22semidirect
59. #17989204C22semidirect
60. #17989204C22semidirect
66. #17989143C22semidirect
68. #17989119C22semidirect
75. #17988995C22semidirect
76. #17988995C22semidirect
77. #17988989C22semidirect
78. #17988988C22semidirect
79. #17988986C22semidirect
80. #17988984C22semidirect
82. #17988948C22semidirect
83. #17988943C22semidirect
84. #17988941C22semidirect
86. #17988929C22semidirect
87. #17988927C22semidirect
88. #17988926C22semidirect
89. #17988924C22semidirect
90. #17988918C22semidirect
91. #17988915C22semidirect
92. #17988912C22semidirect
96. #17988908C22semidirect
97. #17988908C22semidirect
99. #17988905C22semidirect
100. #17988904C22semidirect
101. #17988903C22semidirect
102. #17988897C22semidirect
103. #17988895C22semidirect
104. #17988892C22semidirect
105. #17988892C22semidirect
106. #17988890C22semidirect
109. #17988889C22semidirect
110. #17988888C22semidirect
112. #17988887C22semidirect
114. #17988885C22semidirect
115. #17988885C22semidirect
116. #17988884C22semidirect
117. #17988881C22semidirect
118. #17988880C22semidirect
119. #17988880C22semidirect
120. #17988876C22semidirect
122. #17988875C22semidirect
123. #17988875C22semidirect
124. #17988870C22semidirect
125. #17988866C22semidirect
129. #17988865C22semidirect
130. #17988865C22semidirect
131. #17988844C22semidirect
134. #17988833C22semidirect
136. #17988830C22semidirect
137. #17988826C22semidirect
139. #17988821C22semidirect
140. #17988814C22semidirect
141. #17988812C22semidirect
142. #17988807C22semidirect
143. #17988806C22semidirect
144. #17988804C22semidirect
145. #17988801C22semidirect
147. #17988800C22semidirect
154. #17988717C22semidirect
155. #17988711C22semidirect
158. #17988691C22semidirect
159. #17988684C22semidirect
162. C4×#11924017C22semidirect
163. SD16×Dic73C22semidirect
165. D8×Dic73C22semidirect
166. C4×#11924013C22semidirect
168. #17988663C22semidirect
170. #17988655C22semidirect
171. D4×#10596831C22semidirect
172. #17988645C22semidirect
173. #17988645C22semidirect
174. #17988638C22semidirect
175. #17988629C22semidirect
176. #17988629C22semidirect
177. #17988628C22semidirect
178. #17988626C22semidirect
179. #17988623C22semidirect
180. C2×#14556524C22semidirect
181. #17988615C22semidirect
182. #17988615C22semidirect
183. #17988609C22semidirect
188. #553×C73C22semidirect
190. #488×C73C22semidirect
191. #485×C73C22semidirect
192. #480×C73C22semidirect
194. #469×C73C22semidirect
195. #468×C73C22semidirect
196. #463×C73C22semidirect
200. #436×C73C22semidirect
848. #3322D73semidirect
865. C73#62175semidirect
878. #553C2×D73semidirect
921. #488C2×D73semidirect
926. #485C2×D73semidirect
940. #480C2×D73semidirect
973. #469C2×D73semidirect
978. #468C2×D73semidirect
990. #463C2×D73semidirect
1015. #436C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226245662
#226238602
#226228872
#226228012
#226227052
#226225862
#226225212
#226224932
#226224862
#226224592
#226223752
#226223272
#226221582
#226221482
#226220912
#226220762
#226217662
#226213882
#226213432
#226213292
#226212352
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C73×#33222
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